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  <front>
    <journal-meta><journal-id journal-id-type="publisher">GChron</journal-id><journal-title-group>
    <journal-title>Geochronology</journal-title>
    <abbrev-journal-title abbrev-type="publisher">GChron</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Geochronology</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2628-3719</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/gchron-8-255-2026</article-id><title-group><article-title>Paired <sup>14</sup>C–<sup>10</sup>Be exposure ages from Mount Murphy, West Antarctica: Implications for accurate and precise deglacial chronologies</article-title><alt-title>Paired <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages from Mount Murphy, West Antarctica</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Adams</surname><given-names>Jonathan R.</given-names></name>
          <email>jonathan-richard.adams@univ-lorraine.fr</email>
        <ext-link>https://orcid.org/0000-0002-8511-8766</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Rood</surname><given-names>Dylan H.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4425-4702</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Wilcken</surname><given-names>Klaus</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6870-2047</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Roberts</surname><given-names>Stephen J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Johnson</surname><given-names>Joanne S.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4537-4447</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Earth Science &amp; Engineering, Imperial College London, Exhibition Road, London, SW7 2AZ, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>British Antarctic Survey, High Cross, Madingley Road, Cambridge, CB3 0ET, UK</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Australian Nuclear Science and Technology Organization, Lucas Heights, NSW 2234, Australia</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jonathan R. Adams (jonathan-richard.adams@univ-lorraine.fr)</corresp></author-notes><pub-date><day>5</day><month>May</month><year>2026</year></pub-date>
      
      <volume>8</volume>
      <issue>2</issue>
      <fpage>255</fpage><lpage>277</lpage>
      <history>
        <date date-type="received"><day>28</day><month>November</month><year>2024</year></date>
           <date date-type="rev-request"><day>9</day><month>December</month><year>2024</year></date>
           <date date-type="rev-recd"><day>21</day><month>February</month><year>2026</year></date>
           <date date-type="accepted"><day>5</day><month>March</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Jonathan R. Adams et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://gchron.copernicus.org/articles/8/255/2026/gchron-8-255-2026.html">This article is available from https://gchron.copernicus.org/articles/8/255/2026/gchron-8-255-2026.html</self-uri><self-uri xlink:href="https://gchron.copernicus.org/articles/8/255/2026/gchron-8-255-2026.pdf">The full text article is available as a PDF file from https://gchron.copernicus.org/articles/8/255/2026/gchron-8-255-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e176">Cosmogenic-nuclide surface exposure ages provide empirical data for validating models simulating the timing and pace of ice-sheet response to a warming climate. Increasing emphasis is being placed on obtaining exposure ages that both accurately constrain Holocene deglaciation and are precise enough to capture ice sheet change at the sub-millennial scale. However, longer-lived nuclides such as <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> are susceptible to cosmogenic nuclide inheritance often persisting through multiple periods of exposure and burial, which can impact the accuracy of the most recent Holocene exposure history. Shorter-lived in situ cosmogenic <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (in situ <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) is largely insensitive to nuclide inheritance pre-dating the last glacial maximum (LGM), and when combined with longer-lived nuclides can be used to constrain complex ice sheet histories over Holocene timescales. Here, we present new in situ <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages from nine erratic cobbles from Mount Murphy, West Antarctica. Six of these suggest Mt Murphy deglaciated from 5–3 ka; this is inconsistent with previously measured <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages of the same samples that place deglaciation from 8–6 ka. We investigate potential explanations for the conflicting exposure histories by analysing paired <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> data of Holocene age presently archived in the informal cosmogenic-nuclide exposure-age database (ICE-D, <uri>https://version2.ice-d.org/</uri>,  last access: 29 March 2024). Our analysis reveals that neither variations in geologic setting nor modelled scenarios of subsurface nuclide production can explain the conflicting Mt Murphy ages. However, replicate in situ <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements indicate that initial in situ <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations used to calculate the youngest exposure ages (5–3 ka) do not reproduce within stated <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> uncertainty, whereas measurements used to calculate the older ages (8–6 ka) are reproducible. Furthermore, we observe that in situ <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations measured in 15 of 31 samples taken from ICE-D do not replicate within their nominal <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> analytical uncertainty. Together, these results suggest that analytical uncertainty for in situ <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements may currently be underestimated. We provide recommendations for improving measurement precision that will benefit future Holocene deglaciation studies, including analysis and publication of more replicate measurements and the continuation of efforts to quantify and minimise sources of scatter in blank measurements.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Natural Environment Research Council</funding-source>
<award-id>NE/S006710/1</award-id>
<award-id>NE/S006753/1</award-id>
<award-id>NE/K012088/1</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Directorate for Geosciences</funding-source>
<award-id>OPP-1738989</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e345">Increasing emphasis is being placed on glacial chronologies that both constrain the timing of ice-surface change during the Holocene epoch and provide validation for model simulations at sub-millennial scale resolution (Hippe, 2017; Johnson et al., 2022; Jones et al., 2022; Nichols et al., 2019). For model validation, cosmogenic radionuclide (e.g., in situ cosmogenic <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, hereafter in situ <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula>) exposure ages must both be accurate and precise. Accurate determination of a Holocene exposure age relies on the assumption that the sample being dated is free from nuclides accumulated during periods of surface exposure that pre-date the LGM (Balco, 2011). The prevalence of cold-based ice and consequent lack of basal erosion, however, often leads to nuclide inheritance where longer-lived nuclides such as <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> (half-life; 1.387 Myr) persist over multiple glacial cycles (Balco, 2011; Hein et al., 2014). The shorter half-life of in situ <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mn mathvariant="normal">5700</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> years) greatly reduces the impact of any pre-LGM exposure on <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages constraining the most recent deglaciation. For instance, a rock surface exposed prior to the LGM for long enough to reach in situ <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> saturation (equilibrium between production and decay), deeply shielded by ice at 25 ka, and re-exposed at 10 ka would contain a pre-LGM in situ <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> inventory that only accounted for <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> of the in situ <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measured in that rock surface at the present day (Balco et al., 2019). In situ <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> is therefore unique among cosmogenic nuclides for being largely insensitive to pre-LGM exposure, making it ideal for studying Holocene deglacial histories. However, measuring in situ <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in quartz is extremely challenging and was not routinely possible until relatively recently (Lifton et al., 2001).</p>
      <p id="d2e507">Following efforts to develop and improve in situ <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction procedures (Fülöp et al.,  2010, 2015, 2019; Goehring et al., 2014, 2019a; Hippe et al., 2009, 2013; Lamp et al., 2019; Lifton et al., 2001, 2015b, 2023; Lifton, 1997; Lupker et al., 2019), the method has been successfully applied to accurately determine Holocene exposure where <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> inheritance is known or suspected (Briner et al., 2014; Nichols et al., 2019; White et al., 2011). Combining analyses of short-lived in situ <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> with longer-lived <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> has provided a valuable approach to detecting and quantifying complex exposure histories (Hippe, 2017). If measurement precision of both nuclides is sufficient to resolve past ice sheet behaviour at the sub-millennial timescale, then this method can be a powerful way of identifying and quantifying phases of retreat and readvance in the later Holocene, for which there is emerging evidence (Balco et al., 2023; Kingslake et al., 2018; Venturelli et al., 2020, 2023).</p>
      <p id="d2e558">In this study, we present new in situ <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages measured in samples from Mt Murphy, a volcano adjacent to Thwaites Glacier in the Amundsen Sea Embayment (Fig. 1a). When compared to previously published <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages (Adams et al., 2022; Johnson et al., 2020), our new in situ <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages apparently suggest two conflicting exposure histories at Mount Murphy. Some paired in situ <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages from the same sample are concordant (where the paired <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages agree within uncertainty), indicating the sample experienced a simple post-LGM exposure history. Others are discordant (the paired <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages do not overlap within analytical uncertainty), indicating that a sample experienced burial since post-LGM exposure or that there were changes in the nuclide production rate (Balco et al., 2019).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e673">Panel <bold>(a)</bold> a Landsat-9 satellite image of the Turtle Rock, scoria cone and Notebook Cliffs sites at Mt Murphy showing locations of samples with new in situ <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages and previously published <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages. Grounding line position uses data from (Milillo et al., 2022) and Antarctic Coastline is from version 7.7 of the Antarctic Digital Database. Panel <bold>(b)</bold> shows Antarctic and panel <bold>(c)</bold> global site locations of paired <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages (sites 1–29) where both: (i) apparent <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages are <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> older than apparent <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages (ii) <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages are of Holocene age (<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">11.7</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) which are relevant to Sect. 4. of this manuscript but introduced here to better contextualise our results from Mt Murphy. Site numbering uses the order of the specific site ID (lowest to highest) that locations have been assigned in ICE-D (Balco, 2020b). Panel <bold>(b)</bold> Antarctic paired <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> site locations (1–16) are specified in an inset figure key. Panel <bold>(b)</bold> abbreviations indicate the Antarctic Peninsula (<italic>AP</italic>), Amundsen Sea Embayment (<italic>ASE)</italic>, Ross Sea embayment (<italic>RSE</italic>) and Weddell Sea embayment (<italic>WSE</italic>). Details of global site locations (17–29) displayed in panel <bold>(c)</bold> are specified in Results, Table 4. Green squares in panel <bold>(c)</bold> indicate locations where multiple in situ <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements have been made on the same sample including Lake Bonneville, Utah, Northwest Highlands, Scotland and Leymon High, Northwest Spain (see Fig. 8 and Table S3 in the Supplement). Note in panel <bold>(a)</bold> the corresponding site number from the global site index (1–29) is specified in bold italics along with the name of the sample site, e.g., Turtle Rock (<italic>2</italic>). Note in panel <bold>(b)</bold> paired in situ <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> sites 2, 7, 11 and 13 also contain replicate in situ <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements but only the paired <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> symbol (orange circle) is displayed.</p></caption>
        <graphic xlink:href="https://gchron.copernicus.org/articles/8/255/2026/gchron-8-255-2026-f01.jpg"/>

      </fig>

      <p id="d2e935">Here, we describe an investigation into potential explanations for co-existing concordant and discordant paired <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> Holocene exposure ages observed at Mt Murphy. We do this by revisiting the data of Johnson et al. (2020) and Adams et al. (2022), and performing a more in-depth examination of sources of uncertainty associated with both in situ <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages. First, we present a new in situ <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> dataset from Mt Murphy (paired with previously published <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> measurements) (Fig. 1a) and assess the accuracy and reproducibility of this new dataset. We then perform a sensitivity analysis using blank and CRONUS-A quality control data (Table S5, Balco et al., 2023) and assess its impact on our new in situ <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> data. Finally, we contextualise the new Mt Murphy dataset by analysing available <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> paired exposure age data that is of Holocene age (<inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">11.7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) from Antarctica (Fig. 1b) and globally (Fig. 1c). These paired <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> data are primarily sourced from publicly available data archived in the Informal Cosmogenic-nuclide Exposure age Database (Balco, 2020b) (<uri>https://version2.ice-d.org/</uri>,  last access: 29 March 2024). By documenting our rigorous investigation of a challenging paired in situ <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> dataset from Mt Murphy, West Antarctica, we aim to provide a conceptual framework with which the growing end-user community may better critically test, diagnose, and improve the accuracy and precision of future in situ <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> cosmogenic exposure ages using multinuclide (e.g., in situ <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula>) methods, and identify steps the community could take to consistently produce robust Holocene glacial chronologies.</p>
<sec id="Ch1.S1.SS1">
  <label>1.1</label><title>Sources of uncertainty that impact in situ <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages</title>
      <p id="d2e1184">To provide additional context for our results and discussion, we first outline sources of uncertainty that need to be accounted for when calculating in situ <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages, and introduce the concept of paired nuclide diagrams (Granger, 2006). Uncertainty impacts both accuracy and precision at all stages of determining an exposure age of a sample and can be divided broadly into three categories: (i) geologic uncertainty (ii) uncertainty incorporated during sample preparation and isotopic analysis to determine a nuclide concentration and (iii) uncertainty sourced from exposure age calculations.</p>
      <p id="d2e1211">Cosmogenic nuclide practitioners have least control over geologic uncertainty, which is inherent in a sample from its time of collection in the field and rooted in the limited knowledge we have of a sample's true exposure history and any processes that may have modified production of nuclides following exposure (Dunai, 2010). The two main sources of geologic uncertainty are nuclide inheritance (described above) and post depositional disturbance caused by shielding, erosion, and/or rolling of a sample (Balco, 2011; Gosse and Phillips, 2001). Steps commonly taken to reduce their impact include a robust and detailed geologic interpretation of deposits or depositional features being dated (Balco, 2011) and statistical techniques (Heyman et al., 2016; Johnson et al., 2014). Comprehensive summaries of geologic uncertainty and efforts to quantify it can be found in Balco et al., (2011, 2020b).</p>
      <p id="d2e1214">The second major source of uncertainty comes from our ability to measure the nuclide concentration accurately and precisely within a sample, which represents the internal uncertainty component of an exposure age calculation (Balco, 2020a). Cosmogenic nuclide dating specialists make efforts to minimise contributions to measurement uncertainty particularly from i) uncertainties introduced during sample preparation, and ii) sample measurement by accelerator mass spectrometry (AMS). Measurement of the cosmogenic nuclide <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> is now relatively well-established and routine following efforts to reduce sources of laboratory sample preparation uncertainty (Corbett et al., 2016, 2022; Kohl and Nishiizumi, 1992) and improve AMS performance (Merchel et al., 2012; Rood et al., 2010, 2013; Wilcken et al., 2022). These efforts have resulted in <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> measurement precision on typical quartz interlaboratory comparison materials (e.g., CRONUS-A, CoQtz-N) of between <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> (Binnie et al., 2019; Jull et al., 2015; Phillips et al., 2016a). For high in situ <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (<inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>  internal analytical uncertainty is dominated by AMS counting statistics, with a total measurement uncertainty (combined AMS counting error and blank correction) <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mtext>averaging</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> (Goehring et al., 2014; Hippe, 2017). For moderate in situ <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> range, the uncertainty from AMS counting statistics increases, but typically remains below 10 % and mostly below 5 % (Hippe, 2017). However, for lower in situ <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations the blank correction increasingly dominates, leading to a rapid increase in total uncertainty (Goehring et al., 2014; Hippe, 2017). These sources of uncertainty have been challenging to quantify despite improvements to in situ <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction from quartz (Fülöp et al., 2010, 2015, 2019; Goehring et al., 2014, 2019a; Hippe et al., 2009, 2013; Lamp et al., 2019; Lifton et al., 2001, 2015b, 2023; Lifton, 1997; Lupker et al., 2019) and the dominance of the blank at lower concentrations illustrates the significant challenges of avoiding contamination from other potential sources of C that impart uncertainty into the final in situ <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurement. Laboratory intercomparison reproducibility studies of CRONUS-A (an intercomparison material for cosmogenic nuclides including <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula>) indicate the coefficient of variation (CoV) of in situ <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentration measurements is in the range of 6 %–8 %, and 3 %–4 % for <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> (Phillips et al., 2016a). There have also been several recent improvements to the in situ <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction process, including identification of potential contaminant sources introduced during quartz purification (Nichols and Goehring, 2019), and automation of <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction lines that reduce risk of atmospheric <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> contamination (Goehring et al., 2019a; Lifton et al., 2015b, 2023; Lupker et al., 2019). Refinements to the stepped heating process to liberate in situ <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (in the form of <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) from quartz are also being explored (Lifton et al., 2023) and some extraction facilities now omit the graphitisation stage (that converts <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to C) in favour of analysing in situ <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> directly   using gas source AMS (e.g., Lamp et al., 2019).</p>
      <p id="d2e1530">The final major source of uncertainty comes from transforming a measured nuclide concentration into an exposure age. This requires estimating the production rate due to secondary spallation reactions, which accounts for the majority of surface production (Dunai, 2010), and muons (Balco, 2017). Production rate uncertainties have been incrementally reduced via improvements in scaling models, especially more recent models based on particle-physics simulations (Argento et al., 2015a, b; Lifton et al., 2014). Estimates of the <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> production rate uncertainty from spallation are currently in the range of 6 % (Borchers et al., 2016; Marrero et al., 2016). However, in the case of in situ <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, a spallogenic production rate uncertainty could not be fitted to calibration data because of scatter in excess of an assumed measurement uncertainty of 7.3 % for in situ <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations at selected calibration sites (Borchers et al., 2016). Muons account for a much smaller proportion of total cosmogenic nuclide production at the surface than spallation, but this quantity differs between <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> and in situ <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The proportion of <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> production by muons at the surface is between 1.5 %–2 %, which translates to a maximum scaling uncertainty of only 0.5 % for estimating total <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> surface production by muons. However, for in situ <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, production by muons accounts for <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> of total in situ <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> nuclide production at the surface (Lupker et al., 2015). Therefore, for in situ <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> the same 10 %–25 % uncertainty on computing a production rate by muons equates to between a 2 % and maximum 5 % uncertainty on the total surface production rate estimate (Balco, 2017).</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1669">Paired nuclide diagram with key features labelled. Note that the <inline-formula><mml:math id="M115" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>-axis includes the concentration of the longer-lived nuclide, in this case <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula>, and the <inline-formula><mml:math id="M117" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis is the ratio of the concentration of the shorter- to longer-lived nuclide, in this case <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula>. Both axes are normalised to the local nuclide production rate at each sample location using the LSDn scaling model. Uncertainty ellipses (68 % confidence) are plotted using code from the online calculators formerly known as the CRONUS-Earth online calculators (Balco et al., 2008). Constant exposure line (upper black), steady erosion line (lower blue), and steady-state erosion island (yellow shaded) are labelled on the figure. Paired nuclide diagram terminology from (Granger, 2006).</p></caption>
          <graphic xlink:href="https://gchron.copernicus.org/articles/8/255/2026/gchron-8-255-2026-f02.png"/>

        </fig>

      <p id="d2e1728">Due to the inherently different systematics of production and radioactive decay of in situ <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula>, paired nuclide diagrams (Fig. 2) represent a useful method of visualizing and interpreting exposure/burial histories, and can help to identify or explain uncertainty and scatter in a dataset (see Granger, 2006 for a detailed description of paired nuclide diagrams). Paired nuclide plots generated from exposure age pairs (including <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> pairs) can be classed into three distinct types: Type 1 for samples with simple exposure history (only one period of exposure), Type 2 for samples with a complex exposure history (multiple periods of exposure and burial), and Type 3 for samples with an impermissible concentration ratio (where an ellipse plots above the line of constant exposure in the “impermissible” zone). The Type 3 scenario can indicate analytical inconsistencies, for example, <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> contamination increasing in situ <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (Nichols and Goehring, 2019) or could reflect application of an incorrect production rate to one or both nuclides. In certain cases, a Type 3 nuclide ratio may be explained geologically because the constant exposure line assumes a surface production rate rather than subsurface production. However, because the cosmogenic nuclide production rate by muons as a proportion of total surface production is an order of magnitude higher for in situ <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> than for <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula>, the <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> production ratio increases with depth below the surface (Hippe, 2017). For example, a sample that is buried under a thin layer of rock, ice, till or other material and then rapidly exhumed by plucking can, therefore, exhibit seemingly “impermissible” paired <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concentrations due to differences in the <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> total production ratio at the surface versus at depth (Hippe, 2017; Rand and Goehring, 2019).</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e1904">New in situ <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages from sites at Mt Murphy: Notebook Cliffs (NOT), Turtle Rock (TUR) and scoria cone (CIN).  Exposure ages were calculated based on the blank correction reported from the Tulane CNL of <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">atoms</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> for initial <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements (<inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.14</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.30</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">atoms</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> for replicate measurements using the LSDn scaling scheme. A nominal 6 % measurement uncertainty based on reproducibility of CRONUS-A reported from Tulane CNL of <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> at g<sup>−1</sup> (<inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>) (Goehring et al., 2019a) is assigned to <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> internal <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> uncertainties and propagated into <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> external uncertainties. Sample IDs appended with <inline-formula><mml:math id="M145" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> denote repeat measurements. See Table S1 for full in situ <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> AMS dataset.  Previously published <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages measured from the same sample (Adams et al., 2022; Johnson et al., 2020) are included to facilitate comparison.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Sample ID</oasis:entry>
         <oasis:entry colname="col2">Latitude</oasis:entry>
         <oasis:entry colname="col3">Longitude</oasis:entry>
         <oasis:entry colname="col4">Elevation</oasis:entry>
         <oasis:entry colname="col5">Lithology</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> Age</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> Age</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> Int. Err.</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> Ext. Err.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">DD</oasis:entry>
         <oasis:entry colname="col3">DD</oasis:entry>
         <oasis:entry colname="col4">(m a.s.l.)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">(ka)</oasis:entry>
         <oasis:entry colname="col7">(ka)</oasis:entry>
         <oasis:entry colname="col8">(ka)</oasis:entry>
         <oasis:entry colname="col9">(ka)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">NOT-104</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.3886</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.1175</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">893</oasis:entry>
         <oasis:entry colname="col5">granite</oasis:entry>
         <oasis:entry colname="col6">8.6</oasis:entry>
         <oasis:entry colname="col7">4.1</oasis:entry>
         <oasis:entry colname="col8">0.3</oasis:entry>
         <oasis:entry colname="col9">0.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NOT-107</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.3882</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.0906</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">885</oasis:entry>
         <oasis:entry colname="col5">granite</oasis:entry>
         <oasis:entry colname="col6">8.9</oasis:entry>
         <oasis:entry colname="col7">5.2</oasis:entry>
         <oasis:entry colname="col8">0.4</oasis:entry>
         <oasis:entry colname="col9">0.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NOT-103</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.3914</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.1399</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">852</oasis:entry>
         <oasis:entry colname="col5">granite</oasis:entry>
         <oasis:entry colname="col6">9.4</oasis:entry>
         <oasis:entry colname="col7">3.8</oasis:entry>
         <oasis:entry colname="col8">0.3</oasis:entry>
         <oasis:entry colname="col9">0.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TUR-123</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.3706</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.2923</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">639</oasis:entry>
         <oasis:entry colname="col5">granite</oasis:entry>
         <oasis:entry colname="col6">10.3</oasis:entry>
         <oasis:entry colname="col7">3.8</oasis:entry>
         <oasis:entry colname="col8">0.3</oasis:entry>
         <oasis:entry colname="col9">0.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TUR-117</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.3811</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.3066</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">451</oasis:entry>
         <oasis:entry colname="col5">granite</oasis:entry>
         <oasis:entry colname="col6">6.7</oasis:entry>
         <oasis:entry colname="col7">3.1</oasis:entry>
         <oasis:entry colname="col8">0.2</oasis:entry>
         <oasis:entry colname="col9">0.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TUR-117-R</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.3811</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.3066</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">451</oasis:entry>
         <oasis:entry colname="col5">granite</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">8.2</oasis:entry>
         <oasis:entry colname="col8">0.8</oasis:entry>
         <oasis:entry colname="col9">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TUR-132</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.3830</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.3091</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">446</oasis:entry>
         <oasis:entry colname="col5">granite</oasis:entry>
         <oasis:entry colname="col6">6.6</oasis:entry>
         <oasis:entry colname="col7">7.9</oasis:entry>
         <oasis:entry colname="col8">0.8</oasis:entry>
         <oasis:entry colname="col9">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TUR-132-R</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.3830</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.3091</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">446</oasis:entry>
         <oasis:entry colname="col5">granite</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">7.4</oasis:entry>
         <oasis:entry colname="col8">0.7</oasis:entry>
         <oasis:entry colname="col9">0.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CIN-102</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.2194</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.0232</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">239</oasis:entry>
         <oasis:entry colname="col5">gneiss</oasis:entry>
         <oasis:entry colname="col6">7.5</oasis:entry>
         <oasis:entry colname="col7">9.0</oasis:entry>
         <oasis:entry colname="col8">1.0</oasis:entry>
         <oasis:entry colname="col9">1.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CIN-108</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.2165</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.0197</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">181</oasis:entry>
         <oasis:entry colname="col5">granite</oasis:entry>
         <oasis:entry colname="col6">6.2</oasis:entry>
         <oasis:entry colname="col7">6.3</oasis:entry>
         <oasis:entry colname="col8">0.6</oasis:entry>
         <oasis:entry colname="col9">0.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CIN-108-R</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.2165</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.0197</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">181</oasis:entry>
         <oasis:entry colname="col5">granite</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">7.8</oasis:entry>
         <oasis:entry colname="col8">0.8</oasis:entry>
         <oasis:entry colname="col9">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CIN-112</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.2163</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.0180</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">179</oasis:entry>
         <oasis:entry colname="col5">aplite</oasis:entry>
         <oasis:entry colname="col6">6.6</oasis:entry>
         <oasis:entry colname="col7">3.4</oasis:entry>
         <oasis:entry colname="col8">0.3</oasis:entry>
         <oasis:entry colname="col9">0.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CIN-112-R</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.2163</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.0180</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">179</oasis:entry>
         <oasis:entry colname="col5">aplite</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">7.2</oasis:entry>
         <oasis:entry colname="col8">0.7</oasis:entry>
         <oasis:entry colname="col9">0.9</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2841">In summary, sources of geologic, sample preparation, and exposure age calculation uncertainty impact the accuracy and precision of Holocene deglaciation chronologies. An increase in paired <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> measurements in the recent <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> years, driven by greater <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction throughput (Goehring et al., 2019a; Lifton et al., 2015b, 2023) provide many new data to make an assessment of the application of both nuclides and investigate sources of uncertainty, particularly of in situ <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. In the following sections, we investigate the cause of concordant and discordant paired in situ <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages at Mt Murphy and potential causes for the large amounts of scatter in reported in situ <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements using new in situ <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> data from Mt Murphy and existing paired in situ <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> data extracted from ICE-D.</p>
</sec>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Site description and sample selection</title>
      <p id="d2e2991">Mount Murphy is a large volcanic edifice adjacent to Thwaites Glacier in the Amundsen Sea Embayment (Fig. 1a). Along its western flank, adjacent to Pope Glacier, there are several smaller nunataks, many of which host erratic cobbles and boulders that are well-rounded and of exotic lithology, indicating transport to the site by ice. We selected nine samples from erratics (Table 1) for in situ <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> analysis. These had previously been measured for <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> (Adams et al., 2022; Johnson et al., 2020), with the resultant thinning history implying exposure during the Holocene. We selected four of the nine samples for repeat in situ <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements to determine if measurement uncertainty may have contributed to conflicting exposure histories suggested by initial in situ <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations from our samples.</p>
      <p id="d2e3042">We ensured that paired <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages cover a wide elevation range by selecting samples from three different locations around the Mt Murphy massif (Notebook Cliffs, samples collected from 893–834 m a.s.l. (metres above sea level), Turtle Rock, 696–438 m a.s.l., and a scoria cone adjacent to Kay Peak, 239–178 m a.s.l.). Notebook Cliffs comprises basaltic lava flows overlying thick sequences of hyaloclastite (Adams et al., 2025; Smellie, 2001). A few granite erratics and SSE–NNW trending bedrock striations are present, indicating past ice-cover (Johnson et al., 2020). Turtle Rock, situated adjacent to Pope Glacier, is primarily composed of hyaloclastite and consists of a broad flat lower terrace (438–452 m a.s.l.), which hosts the highest number of erratics observed at Mt Murphy (Johnson et al., 2020). Turtle Rock rises at its northern end to <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">710</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> a.s.l. and consists of several superimposed sequences of basalt and hyaloclastite, with erratics collected from three smaller terraces up to 696 m a.s.l. (Johnson et al., 2008, 2020). The scoria cone is <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mtext>located</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> downstream of Notebook Cliffs and Turtle Rock and is less than 1 km from the grounding line of Pope Glacier. The site consists of two small outcrops comprised of rubbly oxidised scoria bounded on one side by a moraine (Adams et al., 2022; Nichols et al., 2024). Cobbles deposited on the outcrops are generally well-rounded suggesting long distance transport (Adams et al., 2022). Detailed geological and geomorphological descriptions of these sites are provided by  Johnson et al. (2020) and Smellie (2001). Geomorphic descriptions and supporting information of the nine samples with paired <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> measurements are provided in Sect. S1 and Table S2 in the Supplement.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>In situ <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> analysis of Mt Murphy samples</title>
      <p id="d2e3145">We obtained purified quartz necessary for in situ <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction of initial and replicate samples by performing mineral separation on our whole rock samples in the CosmIC Laboratory at Imperial College London (UK), largely following methods specified in Corbett et al. (2016). We omitted the froth flotation step (used to separate feldspars and quartz) following recommendations made by Nichols and Goehring (2019) and instead performed <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> HF/<inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> etches to isolate the quartz (Kohl and Nishiizumi, 1992). Quartz purity was determined using Inductively Coupled Plasma Optical Emission Spectrometry (ICP-OES), after which <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> of purified quartz from each sample was sent to Tulane University Cosmogenic Nuclides Laboratory (Tulane CNL, New Orleans, USA) for in situ <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction. Extraction of in situ <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> was performed using the fully automated Tulane University Carbon Extraction and Graphitisation System (TU-CEGS) following methods presented in Balco et al. (2023), modified from Goehring et al. (2019a). Sample aliquots of purified quartz ranging from 3–5 g were loaded into platinum crucibles and fused with lithium metaborate (<inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">LIBO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) flux to ensure sample dissolution and complete liberation of in situ <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Lifton et al., 2001). The sample was heated in a stable high purity <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> atmosphere for 30 min at 500 <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> to remove atmospheric <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and organic contaminants. Following evacuation of the furnace and addition of new high purity <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the sample was further heated to 1100 <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 3 h to completely dissolve the quartz and liberate in situ <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (in the form of <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). Liberated <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was cryogenically purified before being collected in a measurement chamber, quantified monometrically and diluted with <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-free <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to ensure a measurable sample size (Goehring et al., 2019a).  <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was graphitized using standard <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reduction methods over an Fe catalyst (Santos et al., 2004, 2007; Southon, 2007). Several changes were made to the configuration of the TU-CEGS prior to the replicate measurements (<inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>). Alterations included the introduction of a new compact borosilicate coil trap held at liquid nitrogen temperature (<inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">196</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) for trapping evolved <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> following quartz dissolution (Lifton et al., 2015b, 2023, 2001; Pigati et al., 2010), which replaced the previously installed variable temperature trap (Goehring et al., 2019a). A new mullite tube was also used for <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction due to failure of the previous tube; mullite tubes at Tulane CNL have previously been observed to undergo a “break in” period, during which initial <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> blanks are higher but often fall with continued use (Goehring et al., 2019a).  <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> isotope ratios were measured by AMS at the National Ocean Sciences Accelerator Mass Spectrometry Facility (NOSAMS) (Woods Hole, USA) using the methods described in Longworth et al. (2015). A small aliquot of 2–3 <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> of C was removed for <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> analysis at the University of California Davis Stable Isotope Facility (see Table S1 in the Supplement). Data reduction to convert <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ratios to <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M232" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula><inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mtext>total</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> followed methods outlined in Hippe and Lifton, (2014). We applied the blank correction reported from the Tulane CNL of <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">atoms</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> for initial <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements (<inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.14</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.30</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">atoms</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> for replicate measurements (<inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>, Table S1), respectively, to total measured in situ <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations. Prior to calculating exposure ages, we assigned a 6 % (<inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) uncertainty to each in situ <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurement concentration reported by AMS. This 6 % uncertainty exceeds the reported analytical uncertainty for all in situ <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements made for this study and reflects the reproducibility of replicate measurements of CRONUS-A extracted at Tulane CNL, which is reported as <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> at g<sup>−1</sup> (<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>) (Goehring et al., 2019a).  This 6 % uncertainty has been routinely applied by studies where in situ <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction was carried out at Tulane CNL, e.g., (Nichols et al., 2019).</p>
      <p id="d2e3732">We calculated exposure ages for the new in situ <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements, as well as for the published <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> measurements, using version 3 of the online calculators (<uri>https://hess.ess.washington.edu/math/v3/v3_age_in.html</uri>,  last access: 10 September 2025) with the “LSDn” production rate scaling method for neutrons, protons, and muons (following Lifton et al., 2014 and summarised in Balco, 2017). For <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula>, exposure ages were calculated based on the CRONUS-Earth primary production rate calibration data set of Borchers et al. (2016). For in situ <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, we used the long-term CRONUS-A measurements from extractions performed at Tulane CNL presented in Goehring et al. (2019a) for production rate calibration. When comparing in situ <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages at Mt Murphy, we used the external uncertainty, which includes the 6 % (<inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) measurement uncertainty propagated in quadrature with the production rate and scaling scheme uncertainties. We report all exposure ages assuming no erosion or snow cover (making them “apparent” exposure ages) and a sample density of 2.7 g <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to maintain consistency with Johnson et al. (2020) and Adams et al. (2022). In situ <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> AMS data and corresponding calculated exposure ages are available from the NERC UK Polar Data Centre, <ext-link xlink:href="https://doi.org/10.5285/dbb30962-bbf3-434a-9f27-6de2f61a86e2" ext-link-type="DOI">10.5285/dbb30962-bbf3-434a-9f27-6de2f61a86e2</ext-link> (Adams et al., 2024).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>In situ <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages from Mt Murphy</title>
      <p id="d2e3879">Thirteen in situ <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements (including four replicate measurements) were performed on nine erratic samples recovered from Notebook Cliffs, Turtle Rock, and the unnamed scoria cone (all from surfaces situated between 179 and 893 m a.s.l.). Exposure ages calculated from nuclide concentrations (Table 1) are reported with <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> internal uncertainties unless otherwise stated. Initial in situ <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages from the nine samples range from <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (Table 1 and Fig. S9 in the Supplement), with an average exposure age of <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (mean and standard deviation). At the unnamed scoria cone, in situ <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages exhibit considerable scatter over a small elevation range (180–240 m a.s.l.) with ages ranging from <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>.  The spread of in situ <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages calculated from initial measured in situ <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations is <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">kyr</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, and some samples at higher elevations yield younger exposure ages than samples from lower elevations, which is the inverse of the expected age-elevation pattern associated with ice-sheet thinning through time. Apparent exposure ages from Notebook Cliffs (850–900 m a.s.l.) are 2 kyr younger than those from the scoria cone (180–240 m a.s.l.).</p>
      <p id="d2e4048">Repeat in situ <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements (<inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>) were made on samples TUR-117 and TUR-132 from Turtle Rock (450–650 m a.s.l.), and samples CIN-108, and CIN-112 from scoria cone (180–240 m a.s.l.) to determine if measurement reproducibility contributed to the two conflicting exposure histories suggested by initial in situ <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations. Exposure ages calculated from the four repeat measurements range from <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (Table 1). Only one exposure age derived from replicate measurements reproduce within internal measurement uncertainties (at <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>), whilst three do not. Ages from TUR-117 and CIN-112 do not reproduce within internal uncertainty at <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> (Table 1) or indeed <inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>, with ages calculated from initial <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations resulting in ages 5–3 kyr younger than those calculated from replicate in situ <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements. In other words, TUR-117-R and CIN-112-R are 165 % and 112 % older, respectively, than initial ages from the same samples, and exhibit significant scatter in excess of their internal uncertainties. CIN-108-R (<inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) is 24 % older than CIN-108 (<inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) and does not reproduce within <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> internal uncertainty. TUR-132-R does, however, reproduce within <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> internal uncertainty. Neither Turtle Rock nor scoria cone sites show a systematic bias in terms of reproducibility, with each site yielding one unreproducible in situ <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure age. There is no correlation between sample lithology and in situ <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> reproducibility, as ages derived from both granite and gneiss samples do not reproduce within internal uncertainties.  Notably, initial analyses of samples from Notebook Cliff (<inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>) and TUR-123 from <inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">600</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> all yield younger ages than those obtained from repeat measurements on samples below 500 m a.s.l.; this is inconsistent with the expected age-elevation pattern associated with ice thinning.</p>
      <p id="d2e4291">Published <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages and initial in situ <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages from samples TUR-132, CIN-102 and CIN-108 overlap within their respective <inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> external uncertainties making them concordant (Fig. 3a). However, most of the paired <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages (<inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>, including all Notebook Cliff samples, TUR-117, TUR-123, and CIN-112) are discordant and have apparent exposure ages that are mid-late Holocene (5–3 ka). Where in situ <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages are concordant, the in situ <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> age is systematically older and early- to mid- Holocene (9–6 ka). Ages calculated from three of four replicate measurements overlap at <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> external uncertainty with the corresponding <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages (Fig. 3b).  However, the exposure age calculated from the in situ <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentration of sample CIN-108-R is discordant with the <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure age from the same sample. We note the initial in situ <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurement of CIN-108 (<inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>), and average of the two in situ <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements of CIN-108 (<inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>) resulted in a concordant <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M306" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure age pair.</p>

      <fig id="F3"><label>Figure 3</label><caption><p id="d2e4544">Mt Murphy paired <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure age versus elevation plots <bold>(a)</bold> calculated using initial in situ <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations and <bold>(b)</bold> using both initial (greyed-out) and replicate in situ <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations. In situ <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages plotted with <inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> external uncertainties following application of nominal 6 % in situ <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurement uncertainties. We report exposure ages with <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> external uncertainties when comparing exposure ages calculated from in situ <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concentrations measured in the same sample (see Methods Sect. 2.2).</p></caption>
          <graphic xlink:href="https://gchron.copernicus.org/articles/8/255/2026/gchron-8-255-2026-f03.png"/>

        </fig>

      <p id="d2e4677">Based on their initial in situ <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations, the samples from Notebook Cliffs, Turtle Rock, and scoria cone (Fig. 4a) can be classified as Type 1 and Type 2 nuclide ratios on a paired nuclide diagram (see Sect. 1.1). TUR-132, CIN-102 and CIN-108 plot within the steady-state erosion island (Type 1) and display concordant in situ <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages (Fig. 4a). The remaining samples (NOT-103, NOT-104, TUR-123, TUR-117, and CIN-112) yield paired <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide concentrations that plot below the steady state erosion line, suggesting complex exposure histories (Type 2). Samples plotting below the steady erosion line (<inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>) include all the young in situ <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages, which are discordant with respect to the <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure age from the same sample.  Conversely, all in situ <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations measured in replicates result in older <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages and yield <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratios which plot within the steady state erosion island (Fig. 4b), suggesting samples CIN-112 and TUR-117 instead experienced a simple (Type 1) rather than complex (Type 2) exposure history. The <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratio of CIN-108-R, and to some extent TUR-117-R, CIN-102 and TUR-132, suggest Type 1 exposure but border on an impermissible Type 3 exposure history (see Fig. 2).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e4852">Paired <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide diagrams using new in situ <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations from Mt Murphy samples. Panel <bold>(a)</bold> shows <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide ratios using initial in situ <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations and panel <bold>(b</bold>) shows <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M338" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratios using in situ <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations from repeat measurements. The <inline-formula><mml:math id="M340" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>-axis represents the <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concentration normalised to its production rate (<inline-formula><mml:math id="M342" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and the <inline-formula><mml:math id="M343" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis represents the ratio of the concentration of <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, the shorter half-life nuclide, normalised by its production rate to <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> – the longer-lived nuclide. All paired <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M347" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concentration ratios are normalised to the sample-specific production rate using the LSDn scaling scheme and plotted as ellipses at 68 % confidence (Lifton et al., 2014) using the CRONUS-Earth calibration dataset for <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> (Borchers et al., 2016) and measurements of CRONUS-A at Tulane CNL for in situ <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Goehring et al., 2019a).  The asterisk indicates that the respective nuclide concentrations have been normalized to their respective production rates.</p></caption>
          <graphic xlink:href="https://gchron.copernicus.org/articles/8/255/2026/gchron-8-255-2026-f04.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Key observations from the Mt Murphy paired <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages</title>
      <p id="d2e5143">Three of the four replicate in situ <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements yielded exposure ages that do not overlap within internal uncertainty (<inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>). TUR-117-R and CIN-112-R also do not overlap at <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> internal uncertainty with the corresponding initial <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages, and are also discordant with <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages from the same samples. The six systematically young initial in situ <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages measured in samples ranging from 150–900 m a.s.l. appear to contradict previous interpretations of ice surface lowering to <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">150</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> at Mt Murphy by 6 ka (Adams et al., 2022; Johnson et al., 2020). In addition, the young discordant in situ <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages from higher elevations (Notebook Cliffs and Turtle Rock upper terrace; TUR-123) and older reproducible in situ <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages from lower elevations (scoria cone; CIN-102, CIN-108) contradict the age-elevation pattern expected with ice thinning. The two samples measured for in situ <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> that did reproduce within their uncertainties at <inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> (TUR-132 and CIN-108) were also concordant with respect to <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages from the same sample (Fig. 3b). From the Mt Murphy replicate measurements (<inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>), the two young in situ <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages are not reproducible at <inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> internal uncertainty, but both older exposure ages are reproducible at <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> internal uncertainty. In summary, Mt Murphy paired <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages display both concordance and discordance across multiple sites. Concordant exposure ages are consistent with Type 1 <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratios and discordant exposure ages consistent with Type 2 <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M373" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratios. Concordant <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M375" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages exhibit in situ <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages which are reproducible at <inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> internal uncertainty whereas discordant <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M379" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages do not. This lack of reproducibility suggests the stated 6 % (<inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) measurement uncertainty (based on replicability measurements of CRONUS-A at the in situ <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction laboratory) that is assigned to in situ <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations prior to calculating an exposure age may be underestimated for our study.</p>
      <p id="d2e5524">A bootstrap linear regression analysis (see Sect. S3 in the Supplement) of in situ <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M384" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure age datasets from the scoria cone adjacent to Kay Peak indicate that the chronologies derived from each dataset are broadly similar with respect to the timing of deglaciation, implying they are equally accurate (see Fig. S14 in the Supplement). There is, however, excess scatter of <inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1849</mml:mn></mml:mrow></mml:math></inline-formula> years in the in situ <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages (Sect. S3, Table S6 in the Supplement) that cannot be accounted for by the nominal 6 % <inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> internal measurement uncertainty for in situ <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> that has been adopted in many studies (Balco et al., 2019; Nichols et al., 2019). Together, our new in situ <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages, the existing <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure data and the corresponding <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M392" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratios from Mt Murphy (Figs. 3 and 4) raise two questions: (1) Is there a way to explain why 3 of the 4 replicate in situ <inline-formula><mml:math id="M393" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> analyses from Mt Murphy do not reproduce at <inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> internal uncertainties?  and (2) Is there a geological explanation for the coexistence, often at the same elevation, of concordant and discordant paired in situ <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages? We discuss answers to these questions in the following sections.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Reanalysis of Mt Murphy in situ <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages using quality control data</title>
      <p id="d2e5712">First, we explore if discordant paired in situ <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M399" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages and in situ <inline-formula><mml:math id="M400" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations that do not reproduce within reported uncertainties can be explained by a comprehensive examination of blank and CRONUS-A data. For this, we describe results of a series of sensitivity analyses using quality control data from Tulane CNL (Balco et al., 2023).</p>
      <p id="d2e5751">For initial in situ <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations, we apply a new blank correction of <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.44</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.16</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">atoms</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>, cf.  Table S5 Balco et al., 2023) calculated from the mean and standard deviation of process blanks reported from 2 March–10 April 2021, which brackets the extraction dates of initial in situ <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements. For replicate in situ <inline-formula><mml:math id="M405" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (extracted week beginning 19 April 2022), we apply a revised blank correction of <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.14</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.50</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">atoms</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, which is the same as reported from Tulane CNL. We also propagate a larger blank uncertainty of 35 043 atoms based on the standard deviation of all process blanks measured at Tulane CNL from 2019–2021 (Table S5, Balco et al., 2023). The blank uncertainty we use for the in situ <inline-formula><mml:math id="M407" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> replicate analyses is an order of magnitude larger than the blank uncertainty of <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3000</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">atoms</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> originally reported by Tulane CNL. See Sect. S2 in the Supplement, for a further sensitivity analysis using an alternative blank correction of <inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.99</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.25</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">atoms</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e5910">Prior to calculating in situ <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages, we also assign a 10 % (<inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) uncertainty to in situ <inline-formula><mml:math id="M413" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations calculated from the standard deviation of in situ <inline-formula><mml:math id="M414" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measured in CRONUS-A extracted at Tulane CNL from 22 December 2015–12 March 2021 (<inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.88</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.59</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula>, cf.  Table S5 Balco et al., 2023). For three in situ <inline-formula><mml:math id="M417" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements, the 10 % value is exceeded by our combined AMS and recalculated blank uncertainty, which we use instead for the <inline-formula><mml:math id="M418" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure age calculations (see Table 2 and Table S4 in the Supplement). The 10 % uncertainty we assign to in situ <inline-formula><mml:math id="M419" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations from the Mt.  Murphy samples includes more recent measurements of CRONUS-A from Tulane CNL and is larger than the 6 % typically assigned to in situ <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements from that laboratory in other studies (e.g., Balco et al., 2019, Nichols at al., 2019, Rand et al., 2025).</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e6056">In situ <inline-formula><mml:math id="M421" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentration data measured in Mt Murphy samples. In situ <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations are calculated from the mean and standard deviation of process blank data from Table S5 Balco et al. (2023), see Table S4 in the Supplement. The final column displays a 10 % assigned uncertainty for in situ <inline-formula><mml:math id="M423" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations based on the standard deviation of CRONUS-A measurements reported at Tulane CNL from 2019–2021 (<inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula>, cf.  Table S5 Balco et al., 2023). The 10 % uncertainty is assigned to situ <inline-formula><mml:math id="M425" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations prior to exposure age calculations when it exceeds the combined uncertainty calculated from <inline-formula><mml:math id="M426" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> AMS measurements and process blanks.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Sample ID</oasis:entry>
         <oasis:entry colname="col2">Blank Correction</oasis:entry>
         <oasis:entry colname="col3">Blank Uncertainty</oasis:entry>
         <oasis:entry colname="col4">Total <inline-formula><mml:math id="M427" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M429" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentration</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> uncertainty</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(aliquot)</oasis:entry>
         <oasis:entry colname="col2">(atoms)</oasis:entry>
         <oasis:entry colname="col3">(atoms)</oasis:entry>
         <oasis:entry colname="col4">(atoms)</oasis:entry>
         <oasis:entry colname="col5">(atoms)</oasis:entry>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M432" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M433" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col8">(<inline-formula><mml:math id="M434" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">NOT-104-a</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.44</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.16</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.12</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">42 859</oasis:entry>
         <oasis:entry colname="col6">120 792</oasis:entry>
         <oasis:entry colname="col7">8465</oasis:entry>
         <oasis:entry colname="col8">12 079</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NOT-107-a</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.44</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.16</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.07</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">43 375</oasis:entry>
         <oasis:entry colname="col6">144 739</oasis:entry>
         <oasis:entry colname="col7">8876</oasis:entry>
         <oasis:entry colname="col8">14 474</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NOT-103-a</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.44</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.16</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.44</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">42 679</oasis:entry>
         <oasis:entry colname="col6">110 005</oasis:entry>
         <oasis:entry colname="col7">8624</oasis:entry>
         <oasis:entry colname="col8">11 001</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TUR-123-a</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.44</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.16</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.63</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">42 613</oasis:entry>
         <oasis:entry colname="col6">92 300</oasis:entry>
         <oasis:entry colname="col7">8497</oasis:entry>
         <oasis:entry colname="col8">9230</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TUR-117-a</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.44</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.16</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.27</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">42 148</oasis:entry>
         <oasis:entry colname="col6">64 290</oasis:entry>
         <oasis:entry colname="col7">8287</oasis:entry>
         <oasis:entry colname="col8">6429</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TUR-117-b</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.14</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.50</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.77</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">36 900</oasis:entry>
         <oasis:entry colname="col6">140 624</oasis:entry>
         <oasis:entry colname="col7">7669</oasis:entry>
         <oasis:entry colname="col8">14 062</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TUR-132-a</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.44</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.16</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.80</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">43 301</oasis:entry>
         <oasis:entry colname="col6">133 163</oasis:entry>
         <oasis:entry colname="col7">8477</oasis:entry>
         <oasis:entry colname="col8">13 316</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TUR-132-b</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.14</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.50</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.29</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">36 897</oasis:entry>
         <oasis:entry colname="col6">132 368</oasis:entry>
         <oasis:entry colname="col7">7767</oasis:entry>
         <oasis:entry colname="col8">13 237</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CIN-102-a</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.44</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.16</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.89</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">43 063</oasis:entry>
         <oasis:entry colname="col6">117 501</oasis:entry>
         <oasis:entry colname="col7">8594</oasis:entry>
         <oasis:entry colname="col8">11 750</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CIN-108-a</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.44</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M463" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.16</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.45</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">42 465</oasis:entry>
         <oasis:entry colname="col6">87 545</oasis:entry>
         <oasis:entry colname="col7">8360</oasis:entry>
         <oasis:entry colname="col8">8754</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CIN-108-b</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.14</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M466" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.50</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.77</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">35 901</oasis:entry>
         <oasis:entry colname="col6">107 288</oasis:entry>
         <oasis:entry colname="col7">10 217</oasis:entry>
         <oasis:entry colname="col8">10 729</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CIN-112-a</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.44</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.16</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.73</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">42 067</oasis:entry>
         <oasis:entry colname="col6">54 330</oasis:entry>
         <oasis:entry colname="col7">8385</oasis:entry>
         <oasis:entry colname="col8">5433</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CIN-112-b</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.14</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.50</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M473" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.10</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">35 708</oasis:entry>
         <oasis:entry colname="col6">102 114</oasis:entry>
         <oasis:entry colname="col7">11 777</oasis:entry>
         <oasis:entry colname="col8">10 211</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e7194">Using different blank corrections (Table 2) to calculate the in situ <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages results in some improvements in reproducibility. Older initial in situ <inline-formula><mml:math id="M475" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages and replicate in situ <inline-formula><mml:math id="M476" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages in the <inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> range now all reproduce at <inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> and are concordant with previously published <inline-formula><mml:math id="M479" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages. However, young initial in situ <inline-formula><mml:math id="M480" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages spanning from <inline-formula><mml:math id="M481" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>) do not reproduce at <inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> (or <inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) and remain discordant with published <inline-formula><mml:math id="M485" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages (Fig. 5). The mean value of all initial in situ <inline-formula><mml:math id="M486" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages lowers from <inline-formula><mml:math id="M487" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M488" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> when the larger blank correction is applied (<inline-formula><mml:math id="M489" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.44</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.16</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> atoms). This shift to younger in situ <inline-formula><mml:math id="M490" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages increases the mismatch between TUR-117 and TUR-117R by 6.8 %, and CIN-108 and CIN-108-R by 10 %.</p>

      <fig id="F5"><label>Figure 5</label><caption><p id="d2e7426">Mt Murphy paired <inline-formula><mml:math id="M491" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M492" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure age versus elevation plot showing <inline-formula><mml:math id="M493" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages and new in situ <inline-formula><mml:math id="M494" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages calculated from initial and replicate in situ <inline-formula><mml:math id="M495" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations. Initial in situ <inline-formula><mml:math id="M496" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations use a blank correction of <inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.44</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.16</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">atoms</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> which brackets <inline-formula><mml:math id="M498" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction dates from 2 March 2021–10 April 2021. Replicate in situ <inline-formula><mml:math id="M499" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (yellow triangles) are calculated from the blank correction supplied by Tulane CNL for the samples of <inline-formula><mml:math id="M500" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.14</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.50</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">atoms</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. We report exposure ages with <inline-formula><mml:math id="M501" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> external uncertainties when comparing exposure ages calculated from in situ <inline-formula><mml:math id="M502" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M503" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concentrations measured in the same sample (see Methods Sect. 2.2). Our <inline-formula><mml:math id="M504" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> external uncertainty includes propagation of a 10 % uncertainty for in situ <inline-formula><mml:math id="M505" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations based on the standard deviation of CRONUS-A measurements reported at Tulane CNL from 2015–2021 (<inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula>, cf.  Table S5, Balco et al., 2023). The propagated AMS and blank uncertainties exceed 10 % for three in situ <inline-formula><mml:math id="M507" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (see Table 2) and were used to calculate exposure age uncertainties for those samples.</p></caption>
          <graphic xlink:href="https://gchron.copernicus.org/articles/8/255/2026/gchron-8-255-2026-f05.png"/>

        </fig>

<sec id="Ch1.S4.SS2.SSS1">
  <label>4.2.1</label><title>CRONUS-A normalization – sensitivity test</title>
      <p id="d2e7666">We conduct a further sensitivity test by normalizing our recalculated in situ <inline-formula><mml:math id="M508" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (Table 3) using two different CRONUS-A datasets from Tulane (Table S5, Balco et al., 2023). First, we normalize the recalculated in situ <inline-formula><mml:math id="M509" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (Table 2) using a CRONUS-A value of <inline-formula><mml:math id="M510" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.88</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.59</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">18</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> – calculated from the mean of all CRONUS-A from Tulane CNL – which is 4 % lower than the <inline-formula><mml:math id="M512" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> value reported in Goehring et al. (2019a). Second, we normalize Mt Murphy in situ <inline-formula><mml:math id="M513" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations to a CRONUS-A value of <inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, which is 16 % higher. We select the higher value of <inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> firstly because it is the CRONUS-A value reported from Tulane CNL closest in time (12 March 2021) to the extraction of initial in situ <inline-formula><mml:math id="M516" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements (2 March–10 April 2021), and secondly because it is the last CRONUS-A data published from Tulane CNL. In addition, it aligns more closely to the CRONUS-A value reported from other in situ <inline-formula><mml:math id="M517" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction laboratories (see Table 5). The results of our sensitivity analyses are presented in Table 3, and Fig. S11 in the Supplement.</p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e7877">Comparison of recalculated in situ <inline-formula><mml:math id="M518" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages from sites at Mt Murphy: Notebook Cliffs (NOT), Turtle Rock (TUR) and scoria cone (CIN). <inline-formula><mml:math id="M519" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> age (4th column) are the same values as in Table 1. The initial in situ <inline-formula><mml:math id="M520" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations used to calculate “Recalc.  <inline-formula><mml:math id="M521" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> Age” use a new blank correction of <inline-formula><mml:math id="M522" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.44</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.16</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">atoms</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and replicate in situ <inline-formula><mml:math id="M523" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations are again calculated from the blank correction supplied by Tulane CNL (<inline-formula><mml:math id="M524" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.14</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">atoms</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>), but with an uncertainty calculated from the standard deviation of process blanks measured at Tulane CNL from 2019–2021 (<inline-formula><mml:math id="M525" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.14</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.50</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">atoms</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>). Additional sensitivity analyses that normalize our recalculated in situ <inline-formula><mml:math id="M526" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations by different CRONUS-A values are presented in column “S1 <inline-formula><mml:math id="M527" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> Age” (CRONUS-A; <inline-formula><mml:math id="M528" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.88</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.59</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M529" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula>)) and column “S2 <inline-formula><mml:math id="M530" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> Age” (CRONUS-A; <inline-formula><mml:math id="M531" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>), respectively. Sample IDs appended with R denote repeat measurements. See Table S1 for full in situ <inline-formula><mml:math id="M532" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> AMS results and Table S4 for calculations using Tulane CNL quality control data. The <inline-formula><mml:math id="M533" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> internal and external uncertainties for the S1 <inline-formula><mml:math id="M534" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> age and S2 <inline-formula><mml:math id="M535" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> age columns can also be found in Table S4, Sheet 4.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Sample ID</oasis:entry>
         <oasis:entry colname="col2">Elevation</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M536" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> age</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M537" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> Age</oasis:entry>
         <oasis:entry colname="col5">Recalc. <inline-formula><mml:math id="M538" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M539" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> Inter.</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> Exter.</oasis:entry>
         <oasis:entry colname="col8">S1 <inline-formula><mml:math id="M541" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">S2 <inline-formula><mml:math id="M542" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(m a.s.l.)</oasis:entry>
         <oasis:entry colname="col3">(ka)</oasis:entry>
         <oasis:entry colname="col4">(ka)</oasis:entry>
         <oasis:entry colname="col5">Age (ka)</oasis:entry>
         <oasis:entry colname="col6">Err. (ka)</oasis:entry>
         <oasis:entry colname="col7">Err. (ka)</oasis:entry>
         <oasis:entry colname="col8">Age (ka)</oasis:entry>
         <oasis:entry colname="col9">Age (ka)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">NOT-104</oasis:entry>
         <oasis:entry colname="col2">893</oasis:entry>
         <oasis:entry colname="col3">8.6</oasis:entry>
         <oasis:entry colname="col4">4.1</oasis:entry>
         <oasis:entry colname="col5">3.9</oasis:entry>
         <oasis:entry colname="col6">0.5</oasis:entry>
         <oasis:entry colname="col7">0.6</oasis:entry>
         <oasis:entry colname="col8">3.7</oasis:entry>
         <oasis:entry colname="col9">4.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NOT-107</oasis:entry>
         <oasis:entry colname="col2">885</oasis:entry>
         <oasis:entry colname="col3">8.9</oasis:entry>
         <oasis:entry colname="col4">5.2</oasis:entry>
         <oasis:entry colname="col5">4.9</oasis:entry>
         <oasis:entry colname="col6">0.7</oasis:entry>
         <oasis:entry colname="col7">0.8</oasis:entry>
         <oasis:entry colname="col8">4.7</oasis:entry>
         <oasis:entry colname="col9">6.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NOT-103</oasis:entry>
         <oasis:entry colname="col2">852</oasis:entry>
         <oasis:entry colname="col3">9.4</oasis:entry>
         <oasis:entry colname="col4">3.8</oasis:entry>
         <oasis:entry colname="col5">3.6</oasis:entry>
         <oasis:entry colname="col6">0.4</oasis:entry>
         <oasis:entry colname="col7">0.5</oasis:entry>
         <oasis:entry colname="col8">3.4</oasis:entry>
         <oasis:entry colname="col9">4.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TUR-123</oasis:entry>
         <oasis:entry colname="col2">639</oasis:entry>
         <oasis:entry colname="col3">10.3</oasis:entry>
         <oasis:entry colname="col4">3.8</oasis:entry>
         <oasis:entry colname="col5">3.5</oasis:entry>
         <oasis:entry colname="col6">0.4</oasis:entry>
         <oasis:entry colname="col7">0.5</oasis:entry>
         <oasis:entry colname="col8">3.4</oasis:entry>
         <oasis:entry colname="col9">4.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TUR-117</oasis:entry>
         <oasis:entry colname="col2">451</oasis:entry>
         <oasis:entry colname="col3">6.7</oasis:entry>
         <oasis:entry colname="col4">3.1</oasis:entry>
         <oasis:entry colname="col5">2.8</oasis:entry>
         <oasis:entry colname="col6">0.4</oasis:entry>
         <oasis:entry colname="col7">0.5</oasis:entry>
         <oasis:entry colname="col8">2.6</oasis:entry>
         <oasis:entry colname="col9">3.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TUR-117-R</oasis:entry>
         <oasis:entry colname="col2">451</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">8.2</oasis:entry>
         <oasis:entry colname="col5">8.2</oasis:entry>
         <oasis:entry colname="col6">1.4</oasis:entry>
         <oasis:entry colname="col7">1.6</oasis:entry>
         <oasis:entry colname="col8">7.7</oasis:entry>
         <oasis:entry colname="col9">11.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TUR-132</oasis:entry>
         <oasis:entry colname="col2">446</oasis:entry>
         <oasis:entry colname="col3">6.6</oasis:entry>
         <oasis:entry colname="col4">7.9</oasis:entry>
         <oasis:entry colname="col5">7.4</oasis:entry>
         <oasis:entry colname="col6">1.2</oasis:entry>
         <oasis:entry colname="col7">1.3</oasis:entry>
         <oasis:entry colname="col8">7.0</oasis:entry>
         <oasis:entry colname="col9">9.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TUR-132-R</oasis:entry>
         <oasis:entry colname="col2">446</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">7.4</oasis:entry>
         <oasis:entry colname="col5">7.4</oasis:entry>
         <oasis:entry colname="col6">1.2</oasis:entry>
         <oasis:entry colname="col7">1.3</oasis:entry>
         <oasis:entry colname="col8">6.9</oasis:entry>
         <oasis:entry colname="col9">9.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CIN-102</oasis:entry>
         <oasis:entry colname="col2">239</oasis:entry>
         <oasis:entry colname="col3">7.5</oasis:entry>
         <oasis:entry colname="col4">9.0</oasis:entry>
         <oasis:entry colname="col5">8.3</oasis:entry>
         <oasis:entry colname="col6">1.4</oasis:entry>
         <oasis:entry colname="col7">1.6</oasis:entry>
         <oasis:entry colname="col8">7.7</oasis:entry>
         <oasis:entry colname="col9">11.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CIN-108</oasis:entry>
         <oasis:entry colname="col2">181</oasis:entry>
         <oasis:entry colname="col3">6.2</oasis:entry>
         <oasis:entry colname="col4">6.3</oasis:entry>
         <oasis:entry colname="col5">5.7</oasis:entry>
         <oasis:entry colname="col6">0.8</oasis:entry>
         <oasis:entry colname="col7">0.9</oasis:entry>
         <oasis:entry colname="col8">5.4</oasis:entry>
         <oasis:entry colname="col9">7.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CIN-108-R</oasis:entry>
         <oasis:entry colname="col2">181</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">7.8</oasis:entry>
         <oasis:entry colname="col5">7.8</oasis:entry>
         <oasis:entry colname="col6">1.3</oasis:entry>
         <oasis:entry colname="col7">1.4</oasis:entry>
         <oasis:entry colname="col8">7.3</oasis:entry>
         <oasis:entry colname="col9">10.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CIN-112</oasis:entry>
         <oasis:entry colname="col2">179</oasis:entry>
         <oasis:entry colname="col3">6.6</oasis:entry>
         <oasis:entry colname="col4">3.4</oasis:entry>
         <oasis:entry colname="col5">3.0</oasis:entry>
         <oasis:entry colname="col6">0.6</oasis:entry>
         <oasis:entry colname="col7">0.6</oasis:entry>
         <oasis:entry colname="col8">2.9</oasis:entry>
         <oasis:entry colname="col9">3.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CIN-112-R</oasis:entry>
         <oasis:entry colname="col2">179</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">7.2</oasis:entry>
         <oasis:entry colname="col5">7.2</oasis:entry>
         <oasis:entry colname="col6">1.3</oasis:entry>
         <oasis:entry colname="col7">1.4</oasis:entry>
         <oasis:entry colname="col8">6.8</oasis:entry>
         <oasis:entry colname="col9">9.3</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e8736">Normalizing our in situ <inline-formula><mml:math id="M543" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations by a CRONUS-A value of <inline-formula><mml:math id="M544" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.88</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.59</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (Fig. S11a) results in the young discordant in situ <inline-formula><mml:math id="M545" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages becoming an average of 12 % younger (<inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>) than those calculated using the original blank and normalized to the CRONUS-A value of <inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (Table 1 and Sect. 3.1). Young <inline-formula><mml:math id="M548" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages are between 6.3 % (TUR-123) and 14.3 % (CIN-112) more discordant when compared with the corresponding <inline-formula><mml:math id="M549" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages; however, the concordance and in situ <inline-formula><mml:math id="M550" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> reproducibility of the three older in situ <inline-formula><mml:math id="M551" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages improves, with CIN-108 and CIN-108-R overlapping within <inline-formula><mml:math id="M552" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> internal uncertainty. Normalizing in situ <inline-formula><mml:math id="M553" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations by a CRONUS-A value of <inline-formula><mml:math id="M554" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> has the opposite effect, with young discordant in situ <inline-formula><mml:math id="M555" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages becoming between 6.6 % (TUR-117) and 24.3 % (NOT-107) closer to the published <inline-formula><mml:math id="M556" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages. Nevertheless, all the young in situ <inline-formula><mml:math id="M557" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages remain discordant with the <inline-formula><mml:math id="M558" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages at <inline-formula><mml:math id="M559" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M560" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> uncertainty. Furthermore, the older in situ <inline-formula><mml:math id="M561" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages and replicates are now also discordant with <inline-formula><mml:math id="M562" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages (Fig. S11b).</p>
      <p id="d2e9037">Normalizing initial in situ <inline-formula><mml:math id="M563" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations by the CRONUS-A value of <inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> and replicate in situ <inline-formula><mml:math id="M565" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations by the CRONUS-A value of <inline-formula><mml:math id="M566" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.88</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.59</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> does not improve reproducibility of the young discordant in situ <inline-formula><mml:math id="M567" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages. In addition, the older initial in situ <inline-formula><mml:math id="M568" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages (<inline-formula><mml:math id="M569" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>) also do not reproduce at <inline-formula><mml:math id="M570" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> when this value is used (Fig. S11c). In summary, using the quality control data from Tulane and different blank corrections, assigning a larger uncertainty of 10 % to our in situ <inline-formula><mml:math id="M571" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations and normalizing them to a CRONUS-A value of <inline-formula><mml:math id="M572" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.88</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.59</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> do slightly improve reproducibility of the older in situ <inline-formula><mml:math id="M573" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages. They also increase concordance with the <inline-formula><mml:math id="M574" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages. However, neither a reasonable range of blank corrections nor normalization to a range of plausible CRONUS-A values can explain the lack of reproducibility associated with the six anomalously young initial in situ <inline-formula><mml:math id="M575" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Potential sources of geological uncertainty</title>
      <p id="d2e9265">Instances of concordant and discordant <inline-formula><mml:math id="M576" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M577" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages (Balco et al., 2019) or seemingly impermissible <inline-formula><mml:math id="M578" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M579" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concentration ratios have been explained in previous studies by invoking geological processes (Balco et al., 2019; Rand and Goehring, 2019). First, we examine the Notebook Cliffs, Turtle Rock, and scoria cone sites (see Figs. S1–S5 in the Supplement) to determine if localised glacial-geological changes at Mt Murphy permit the existence of paired in situ <inline-formula><mml:math id="M580" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M581" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> discordant exposure ages at the same elevation as paired in situ <inline-formula><mml:math id="M582" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M583" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concordant exposure ages. A USGS trimetrogon aerial (TMA) photograph shows that in 1966, in contrast to today, the lower scoria cone outcrop was almost completely buried by ice (see Fig. S7 of Nichols et al., 2024). This finding indicates that samples CIN-112 and CIN-108 were shielded by ice for a non-zero time between 6.4 ka and present (Adams et al., 2022; Balco et al., 2023). A discordant initial in situ <inline-formula><mml:math id="M584" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> age for CIN-112 (<inline-formula><mml:math id="M585" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, 179 m a.s.l.)  that is younger than the <inline-formula><mml:math id="M586" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure age (<inline-formula><mml:math id="M587" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula>) from the same sample and other in situ <inline-formula><mml:math id="M588" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages from higher elevation scoria cone samples supports the interpretation that such burial occurred during the late Holocene. The in situ <inline-formula><mml:math id="M589" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> replicate measurement, CIN-112-R, however, yielded an exposure age of <inline-formula><mml:math id="M590" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, which is in agreement with the corresponding <inline-formula><mml:math id="M591" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> age. Both in situ <inline-formula><mml:math id="M592" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages determined from measurements of sample CIN-108 (collected from the same outcrop and elevation as CIN-112) are early-mid Holocene (CIN-108 – <inline-formula><mml:math id="M593" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>; CIN-108-R – <inline-formula><mml:math id="M594" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>). With the exception of the initial <inline-formula><mml:math id="M595" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure age from sample CIN-112, all exposure ages from the lower scoria cone outcrop (Adams et al., 2022) suggest that ice cover during the late Holocene was short-lived.</p>
      <p id="d2e9527">At both Turtle Rock and Notebook Cliffs, there is little evidence to suggest prolonged cover or burial of samples. At Turtle Rock, discordant in situ <inline-formula><mml:math id="M596" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M597" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages of TUR-117 and TUR-123 could be due to individual samples being partially shielded by till or ice debris cover during the Holocene, but the preferential sampling of topographic highs makes this less likely (Johnson et al., 2020).  Furthermore, the in situ <inline-formula><mml:math id="M598" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure age of TUR-117-R (<inline-formula><mml:math id="M599" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) agrees with the sample's existing <inline-formula><mml:math id="M600" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure age. There is no geological explanation for measurements of the same nuclide (in situ <inline-formula><mml:math id="M601" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) on the same two samples (TUR-117, CIN-112) yielding different exposure ages. At Notebook  Cliffs, all in situ <inline-formula><mml:math id="M602" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages (<inline-formula><mml:math id="M603" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>) are late Holocene and discordant with existing <inline-formula><mml:math id="M604" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages, implying inheritance in <inline-formula><mml:math id="M605" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> and prolonged burial of all three samples. The three Notebook Cliffs in situ <inline-formula><mml:math id="M606" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages contradict evidence from lower elevations of Mt Murphy that indicate early to mid-Holocene deglaciation from 9–6 ka (Adams et al., 2022; Balco et al., 2023; Johnson et al., 2020). In situ <inline-formula><mml:math id="M607" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages from Notebook Cliffs could be reconciled with the currently accepted Mt Murphy deglaciation history if a localised ice dome had persisted atop Notebook Cliffs, shielding samples until the late Holocene. The flat top of the Notebook Cliffs site would favour persistence of a post-glacial ice dome; however, there is no physical evidence for this having occurred (Johnson et al., 2020)</p>
      <p id="d2e9680">Except for late Holocene ice cover of samples CIN-108 and CIN-112 at the lower scoria cone outcrop, evidence for localised geological and topographical drivers of repeated burial and exposure of samples at Mt Murphy are lacking. Instead, differing exposure and transport histories of erratics prior to deposition might explain the concordant and discordant paired <inline-formula><mml:math id="M608" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M609" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages observed at the same elevation at Mt Murphy.  A similar mechanism, whereby some erratics are initially exposed at higher elevation (and thus subjected to a higher nuclide production rate) has been used to explain the presence of concordant older <inline-formula><mml:math id="M610" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M611" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages and discordant young <inline-formula><mml:math id="M612" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages at comparable elevations at another site, Shark Fin Nunatak, adjacent to Tucker Glacier in the Ross Sea Embayment (Balco et al., 2019). This hypothesis is supported by both extensive weathering of older samples at Shark Fin Nunatak, and the presence of cliffs of the same lithology upstream, from which erratics could have originated (Balco et al., 2019). However, exposed outcrops with lithologies matching the aplite, granite, and gneiss lithologies of erratics observed at Mt Murphy and surrounding nunataks (Adams et al., 2022; Johnson et al., 2020) are absent in the near vicinity. The nearest outcrop upstream, Mt Takahe (Figs. S6 and S7a in the Supplement) <inline-formula><mml:math id="M613" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> to the south, is composed of mafic extrusive rock (Ohio State Polar Rock Repository; <uri>https://prr.osu.edu/collection/</uri>, last access: 15 February 2024). Such prior exposure and transport of erratics from nunataks with the same lithologies as those found at Mt Murphy would necessitate dramatic past ice flow re-organization, for which there is no evidence (see Supplement S1 and Figs. S6–S8 in the Supplement).</p>
<sec id="Ch1.S4.SS3.SSS1">
  <label>4.3.1</label><title>Identifying sites with paired <inline-formula><mml:math id="M614" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M615" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide systematics resembling those of Mt Murphy samples</title>
      <p id="d2e9793">Paired <inline-formula><mml:math id="M616" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M617" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide ratios measured in samples from Shark Fin Nunatak all indicate a simple exposure history (Table 4 and Sect. S5 – Site 4 in the Supplement), which contrasts with paired <inline-formula><mml:math id="M618" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M619" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide ratios obtained from Mt Murphy. The sites at Mt Murphy instead exhibit a mixture of Type 1 (simple), Type 2 (complex), and a few borderline Type 3 (impermissible) exposure histories (see Figs. 2 and 4). To determine if any other sites in Antarctica, or elsewhere, display similar paired <inline-formula><mml:math id="M620" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M621" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide diagram systematics to Mt Murphy, we used an SQL search filter implemented in MATLAB (Balco, 2020b) to extract from the informal online database ICE-D (<uri>https://version2.ice-d.org/antarctica/</uri>, last access: 29 March 2024) sites with <inline-formula><mml:math id="M622" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M623" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure age pairs that meet the following criteria: (1) the ratio of the <inline-formula><mml:math id="M624" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure age to the <inline-formula><mml:math id="M625" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure age is <inline-formula><mml:math id="M626" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and (2) the <inline-formula><mml:math id="M627" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> apparent exposure age is <inline-formula><mml:math id="M628" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">11.7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (indicating the sample was exposed during the Holocene).  We applied these filters to remove <inline-formula><mml:math id="M629" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> apparent exposure ages older than the Holocene because <inline-formula><mml:math id="M630" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> inheritance and its impact on measurement accuracy is well-documented, especially in Antarctica, where limited erosion often results in <inline-formula><mml:math id="M631" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide inventories which encapsulate more than one glacial cycle. A summary of all sites with paired in situ <inline-formula><mml:math id="M632" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M633" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages compiled from ICE-D that satisfy our search criteria (<inline-formula><mml:math id="M634" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">29</mml:mn></mml:mrow></mml:math></inline-formula>) is provided in Table 4 and numbered in Fig. 1. Age-elevation plots and paired nuclide diagrams for samples from each site can be found in Supplement S5.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e10036">Paired in situ <inline-formula><mml:math id="M635" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M636" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide concentrations from <bold>(a)</bold> Mount Murphy (this study), and paired <inline-formula><mml:math id="M637" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M638" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concentration data from other sites extracted from ICE-D including: <bold>(b)</bold> Kangiata Nunata Sermia (KNS), Greenland (Type 1, dominated by concordant ages), <bold>(c)</bold> Rhône Glacier, Switzerland, (Type 2, complex exposure – burial history) and <bold>(d)</bold> Sjögren Glacier, Antarctic Peninsula (Type 3 – impermissible exposure history-dominated dataset). NB: Other paired <inline-formula><mml:math id="M639" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M640" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> datasets classified using the same system are displayed in Table 4. All paired <inline-formula><mml:math id="M641" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M642" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concentration ratios are normalised to the sample-specific production rate using the LSDn scaling scheme and plotted as ellipses at 68 % confidence (Lifton et al., 2014) using the CRONUS-Earth calibration dataset for <inline-formula><mml:math id="M643" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> (Borchers et al., 2016) and measurements of CRONUS-A at Tulane University for in situ <inline-formula><mml:math id="M644" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Goehring et al., 2019a).  Note different in situ <inline-formula><mml:math id="M645" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> production rate calibration datasets would be more suitable for generating paired nuclide diagrams presented in panel <bold>(b)</bold> (Young et al., 2014) and panel <bold>(c)</bold> (Goehring et al., 2011), but do not change the type classification for each dataset. For further information on paired nuclide diagrams and type classification scheme, see Sect. 1.2.</p></caption>
            <graphic xlink:href="https://gchron.copernicus.org/articles/8/255/2026/gchron-8-255-2026-f06.png"/>

          </fig>

<table-wrap id="T4" specific-use="star" orientation="landscape"><label>Table 4</label><caption><p id="d2e10201">Full list of paired in situ <inline-formula><mml:math id="M646" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M647" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> surface exposure ages extracted from ICE-D, as described in the text. Paired nuclide ratio type refers to the dominant position of paired <inline-formula><mml:math id="M648" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M649" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratio ellipses on a paired nuclide diagram (Fig. 2).  Paired nuclide diagrams from each site are listed as the dominant type(s), with instances of the less common types denoted in brackets. Abbreviations for AMS and in situ <inline-formula><mml:math id="M650" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction laboratories are as follows: CEREGE (Centre Européen de Recherche et d’Enseignement des Géosciences de l’Environnement), France; ETH Zurich (Swiss Federal Institute of Technology in Zurich), Switzerland; KIST (Korean Institute of Science and Technology), South Korea; LDEO (Lamont-Doherty Earth Observatory), USA; LLNL (Lawrence Livermore National Laboratory), USA; NOSAMS (National Ocean Sciences Accelerator Mass Spectrometry Laboratory at the Woods Hole Oceanographic Institution), USA; and SUERC (Scottish Universities Environmental Research Centre), UK. Shark Fin nunatak <inline-formula><mml:math id="M651" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages are <inline-formula><mml:math id="M652" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">11.7</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, so do not meet one of our search criteria, but those samples are included here due to their similarities in age versus elevation profile to Mt Murphy. Note in the “<inline-formula><mml:math id="M653" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M654" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> Ratio Type” column the most prevalent  <inline-formula><mml:math id="M655" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M656" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratio observed in samples from that site is indicated first and unbracketed, e.g. 1, and if the site also exhibits a minority of a different type the minority is indicated in brackets, e.g. 1(2).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Location ID</oasis:entry>
         <oasis:entry colname="col2">Short Name (ICE-D)</oasis:entry>
         <oasis:entry colname="col3">Site Name, Location</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M662" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M663" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">In situ <inline-formula><mml:math id="M664" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M665" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> AMS lab</oasis:entry>
         <oasis:entry colname="col7">Reference <inline-formula><mml:math id="M666" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> dataset</oasis:entry>
         <oasis:entry colname="col8">Reference in situ <inline-formula><mml:math id="M667" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> dataset</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">ratio type</oasis:entry>
         <oasis:entry colname="col5">extraction lab</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">REA</oasis:entry>
         <oasis:entry colname="col3">Mt.Rea, Sarnoff Mts.</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Stone et al. (2003)</oasis:entry>
         <oasis:entry colname="col8">ICE-D<sup>∗</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">TR</oasis:entry>
         <oasis:entry colname="col3">Turtle Rock, Mt Murphy</oasis:entry>
         <oasis:entry colname="col4">1 2 (3)</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Johnson et al. (2020)</oasis:entry>
         <oasis:entry colname="col8">This paper</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">NMAS</oasis:entry>
         <oasis:entry colname="col3">North Masson Range, Framnes Mts.</oasis:entry>
         <oasis:entry colname="col4">3 (1)</oasis:entry>
         <oasis:entry colname="col5">SUERC</oasis:entry>
         <oasis:entry colname="col6">SUERC</oasis:entry>
         <oasis:entry colname="col7">Mackintosh et al. (2007)</oasis:entry>
         <oasis:entry colname="col8">White et al. (2011)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">SKF</oasis:entry>
         <oasis:entry colname="col3">Sharkfin nunatak, Tucker Gl.</oasis:entry>
         <oasis:entry colname="col4">1 (2)</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">LLNL</oasis:entry>
         <oasis:entry colname="col7">Balco et al. (2019)</oasis:entry>
         <oasis:entry colname="col8">Balco et al. (2019)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">MZS</oasis:entry>
         <oasis:entry colname="col3">Mario Zuchelli Station, Terra Nova Bay</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">LLNL</oasis:entry>
         <oasis:entry colname="col7">Goehring et al. (2019b)</oasis:entry>
         <oasis:entry colname="col8">Goehring et al. (2019b)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6</oasis:entry>
         <oasis:entry colname="col2">WHITS</oasis:entry>
         <oasis:entry colname="col3">Mt. Whitmore, Whitmore Mts.</oasis:entry>
         <oasis:entry colname="col4">N/A</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Spector et al. (2019)</oasis:entry>
         <oasis:entry colname="col8">Spector et al. (2019)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7</oasis:entry>
         <oasis:entry colname="col2">KAYCONE</oasis:entry>
         <oasis:entry colname="col3">scoria cone, Mt Murphy</oasis:entry>
         <oasis:entry colname="col4">1 2</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Adams et al. (2022)</oasis:entry>
         <oasis:entry colname="col8">This paper</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8</oasis:entry>
         <oasis:entry colname="col2">NOTE</oasis:entry>
         <oasis:entry colname="col3">Notebook Cliffs, Mt Murphy</oasis:entry>
         <oasis:entry colname="col4">2</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Johnson et al. (2020)</oasis:entry>
         <oasis:entry colname="col8">This paper</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">9</oasis:entry>
         <oasis:entry colname="col2">HOPE</oasis:entry>
         <oasis:entry colname="col3">Mt. Hope, Beardmore Glacier</oasis:entry>
         <oasis:entry colname="col4">1 2</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Spector et al. (2017)</oasis:entry>
         <oasis:entry colname="col8">ICE-D<sup>∗</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10</oasis:entry>
         <oasis:entry colname="col2">CMARSH</oasis:entry>
         <oasis:entry colname="col3">Cape Marsh, Robertson Island</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">KIST</oasis:entry>
         <oasis:entry colname="col6">KIST</oasis:entry>
         <oasis:entry colname="col7">Jeong et al. (2018)</oasis:entry>
         <oasis:entry colname="col8">Jeong et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">11</oasis:entry>
         <oasis:entry colname="col2">FRAMNES</oasis:entry>
         <oasis:entry colname="col3">Cape Framnes, Jason Peninsula</oasis:entry>
         <oasis:entry colname="col4">1 (2)</oasis:entry>
         <oasis:entry colname="col5">KIST</oasis:entry>
         <oasis:entry colname="col6">KIST</oasis:entry>
         <oasis:entry colname="col7">Jeong et al. (2018)</oasis:entry>
         <oasis:entry colname="col8">Jeong et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">12</oasis:entry>
         <oasis:entry colname="col2">SJOC</oasis:entry>
         <oasis:entry colname="col3">Site C, Sjögren Glacier</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Balco and Schaefer (2013)</oasis:entry>
         <oasis:entry colname="col8">ICE-D<sup>∗</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">13</oasis:entry>
         <oasis:entry colname="col2">DRYE</oasis:entry>
         <oasis:entry colname="col3">Site E, Drygalski Glacier</oasis:entry>
         <oasis:entry colname="col4">1 3 (2)</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Balco and Schaefer (2013)</oasis:entry>
         <oasis:entry colname="col8">ICE-D<sup>∗</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">14</oasis:entry>
         <oasis:entry colname="col2">KRING</oasis:entry>
         <oasis:entry colname="col3">Mt. Kring, David Glacier</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Stutz et al. (2021)</oasis:entry>
         <oasis:entry colname="col8">ICE-D<sup>∗</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">15</oasis:entry>
         <oasis:entry colname="col2">DIAMOND</oasis:entry>
         <oasis:entry colname="col3">Diamond Hill, Darwin-Hatherton Glaciers</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Hillebrand et al. (2021)</oasis:entry>
         <oasis:entry colname="col8">Hillebrand et al. (2021)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">16</oasis:entry>
         <oasis:entry colname="col2">DANPB1</oasis:entry>
         <oasis:entry colname="col3">Danum Platform, Darwin-Hatherton Glaciers</oasis:entry>
         <oasis:entry colname="col4">1 (3)</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Hillebrand et al. (2021)</oasis:entry>
         <oasis:entry colname="col8">Hillebrand et al. (2021)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">17</oasis:entry>
         <oasis:entry colname="col2">Goeh2011-A</oasis:entry>
         <oasis:entry colname="col3">Rhône Glacier, Swiss Alps</oasis:entry>
         <oasis:entry colname="col4">2</oasis:entry>
         <oasis:entry colname="col5">LDEO</oasis:entry>
         <oasis:entry colname="col6">Uni of Arizona</oasis:entry>
         <oasis:entry colname="col7">Goehring et al. (2011)</oasis:entry>
         <oasis:entry colname="col8">Goehring et al. (2011)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">18</oasis:entry>
         <oasis:entry colname="col2">Hipp2014-A</oasis:entry>
         <oasis:entry colname="col3">Gotthard Pass, Swiss Alps</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">ETH Zurich</oasis:entry>
         <oasis:entry colname="col6">ETH Zurich</oasis:entry>
         <oasis:entry colname="col7">Hippe et al. (2014)</oasis:entry>
         <oasis:entry colname="col8">Hippe et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">19</oasis:entry>
         <oasis:entry colname="col2">KBR1</oasis:entry>
         <oasis:entry colname="col3">KNS bedrock 1, Kangiata Nunata Sermia</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">LDEO</oasis:entry>
         <oasis:entry colname="col6">CEREGE</oasis:entry>
         <oasis:entry colname="col7">Young et al. (2021)</oasis:entry>
         <oasis:entry colname="col8">Young et al. (2021)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">20</oasis:entry>
         <oasis:entry colname="col2">KBR2</oasis:entry>
         <oasis:entry colname="col3">KNS bedrock 2, Kangiata Nunata Sermia</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">LDEO</oasis:entry>
         <oasis:entry colname="col6">CEREGE</oasis:entry>
         <oasis:entry colname="col7">Young et al. (2021)</oasis:entry>
         <oasis:entry colname="col8">Young et al. (2021)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">21</oasis:entry>
         <oasis:entry colname="col2">INGLE1</oasis:entry>
         <oasis:entry colname="col3">Outboard ice margin, Inglefield Land</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">ETH Zurich</oasis:entry>
         <oasis:entry colname="col6">ETH Zurich</oasis:entry>
         <oasis:entry colname="col7">Søndergaard et al. (2020)</oasis:entry>
         <oasis:entry colname="col8">Søndergaard et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">22</oasis:entry>
         <oasis:entry colname="col2">MACAULAY</oasis:entry>
         <oasis:entry colname="col3">Macaulay Boulder Field, Southern Alps</oasis:entry>
         <oasis:entry colname="col4">1 (3)</oasis:entry>
         <oasis:entry colname="col5">LDEO</oasis:entry>
         <oasis:entry colname="col6">LLNL-CAMS</oasis:entry>
         <oasis:entry colname="col7">Putnam et al. (2010)</oasis:entry>
         <oasis:entry colname="col8">Schimmelpfennig et al. (2012)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">23</oasis:entry>
         <oasis:entry colname="col2">MARRAIT</oasis:entry>
         <oasis:entry colname="col3">Marrait Moraine, Jakobshavn Isfjord</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">LDEO</oasis:entry>
         <oasis:entry colname="col6">LLNL-CAMS</oasis:entry>
         <oasis:entry colname="col7">Young et al. (2013)</oasis:entry>
         <oasis:entry colname="col8">Young et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">24</oasis:entry>
         <oasis:entry colname="col2">GHm-Out5</oasis:entry>
         <oasis:entry colname="col3">Grey Hunter massif, MacArthur Mts., Yukon</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Goehring et al. (2022)</oasis:entry>
         <oasis:entry colname="col8">Goehring et al. (2022)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">25</oasis:entry>
         <oasis:entry colname="col2">SISPEN-W</oasis:entry>
         <oasis:entry colname="col3">Sisimiut Peninsula, Kangerlassuaq</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">LDEO</oasis:entry>
         <oasis:entry colname="col6">CEREGE</oasis:entry>
         <oasis:entry colname="col7">Sbarra et al. (2022)</oasis:entry>
         <oasis:entry colname="col8">Sbarra et al. (2022)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">26</oasis:entry>
         <oasis:entry colname="col2">Mammoth-Forefield</oasis:entry>
         <oasis:entry colname="col3">Mammoth Gl., Wind River Range, WY</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Jones et al. (2023)</oasis:entry>
         <oasis:entry colname="col8">Jones et al. (2023)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">27</oasis:entry>
         <oasis:entry colname="col2">Conness-Forefield</oasis:entry>
         <oasis:entry colname="col3">Conness Gl., Sierra Nevada, CA</oasis:entry>
         <oasis:entry colname="col4">N/A</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Jones et al. (2023)</oasis:entry>
         <oasis:entry colname="col8">Jones et al. (2023)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">28</oasis:entry>
         <oasis:entry colname="col2">JIF-Forefield</oasis:entry>
         <oasis:entry colname="col3">Juneau Ice Field, Coast Mts., AK</oasis:entry>
         <oasis:entry colname="col4">1 3</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Jones et al. (2023)</oasis:entry>
         <oasis:entry colname="col8">Jones et al. (2023)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">29</oasis:entry>
         <oasis:entry colname="col2">N/A</oasis:entry>
         <oasis:entry colname="col3">Engabreen Glacier, Norway<sup><italic>#</italic></sup></oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">Tulane CNL</oasis:entry>
         <oasis:entry colname="col6">NOSAMS</oasis:entry>
         <oasis:entry colname="col7">Rand and Goehring (2019)</oasis:entry>
         <oasis:entry colname="col8">Rand and Goehring (2019)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e10339"><sup><italic>#</italic></sup> Engabreen glacier paired in situ <inline-formula><mml:math id="M658" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M659" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> data are not archived in ICE-D but are included to demonstrate a geological solution to a “Type 3” dataset.
<sup>∗</sup> Unpublished in situ <inline-formula><mml:math id="M661" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> data; these data are freely available in ICE-D under the public release requirements of the National Science Foundation (NSF) U.S. Antarctic Program.</p></table-wrap-foot></table-wrap>

      <p id="d2e11407">An examination of the paired <inline-formula><mml:math id="M674" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M675" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide diagrams from the twenty-nine sites returned from our search of the ICE-D database which includes data from Mt Murphy (Table 4) indicate samples that exhibit paired <inline-formula><mml:math id="M676" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M677" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concentrations consistent with a Type 1 simple exposure history are the most prevalent at over half of sites (<inline-formula><mml:math id="M678" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula>), e.g., Kangiata Nunata Sermia, Greenland (Young et al., 2021; Fig. 6b). There are two sites where samples exhibiting a Type 2 complex exposure history are dominant, including Rhône Glacier forefield in the European Alps (Goehring et al., 2011, Fig. 6c). A total of six sites exhibit Type 3 <inline-formula><mml:math id="M679" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M680" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratios (indicative of impermissible exposure histories), but many of these datasets contain just one sample. An exception is Sjögren Glacier (Figs. 6d and 7) on the Antarctic Peninsula where numerous samples exhibit impermissible <inline-formula><mml:math id="M681" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M682" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide ratios (Balco and Schaefer, 2013). Notably only scoria cone, Turtle Rock and Mt Hope, Beardmore Glacier (Site 9) display an equal distribution of both simple (Type 1) and complex (Type 2) exposure histories. An interrogation of the geologic setting of these endmember sites, which consist of multiple samples of the same type, did not provide information that could help explain the concordant and discordant exposure ages or the mixture of Type 1, Type 2 and borderline Type 3 paired <inline-formula><mml:math id="M683" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M684" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide ratios at Mt Murphy (Fig. 6a). For a detailed account of our geological interrogation and comparison of endmember sites to the Mt Murphy dataset, see Sect. S1.2 in the Supplement.</p>

      <fig id="F7"><label>Figure 7</label><caption><p id="d2e11545">Plots showing modelled subsurface production scenarios that lead to a higher in situ <inline-formula><mml:math id="M685" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> relative to <inline-formula><mml:math id="M686" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratio than typical for the surface. Panel <bold>(a)</bold> shows in situ <inline-formula><mml:math id="M687" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M688" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide ratios as a function of glacial exhumation rate integrated over a time t, assuming both <inline-formula><mml:math id="M689" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> and in situ <inline-formula><mml:math id="M690" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> nuclide concentrations are zero at the LGM (<inline-formula><mml:math id="M691" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">20</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">000</mml:mn></mml:mrow></mml:math></inline-formula> years). The black line represents the constant exposure line and blue line the steady erosion line including muon production. Grey dots indicate modelled in situ <inline-formula><mml:math id="M692" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M693" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide concentration ratios for an erosion rate which is specified above each dot (<inline-formula><mml:math id="M694" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kyr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Panel <bold>(b)</bold> shows modelled in situ <inline-formula><mml:math id="M695" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M696" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide concentrations as a function of burial under different ice thicknesses over Holocene timescales (plotted as isolines). The black line represents the constant exposure line, but we omit the steady erosion line to improve legibility. On both plots red ellipses indicate in situ <inline-formula><mml:math id="M697" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M698" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concentration ratios measured in samples from Sjögren Glacier, Site C (68 % confidence). Plots are generated using the surface and subsurface production rate estimating code from (Balco et al., 2023).</p></caption>
            <graphic xlink:href="https://gchron.copernicus.org/articles/8/255/2026/gchron-8-255-2026-f07.png"/>

          </fig>

      <p id="d2e11738">The impermissible (Type 3) paired nuclide <inline-formula><mml:math id="M699" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M700" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratios from Sjögren Glacier (Site 12 in Table 4) present an opportunity to attempt to identify the cause of high in situ <inline-formula><mml:math id="M701" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M702" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratios such as those observed in samples CIN-108-R (Fig. 4). As well as several replicate in situ <inline-formula><mml:math id="M703" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements having been made on samples from there, Sjögren Glacier Site C bears a close geomorphic resemblance to the scoria cone site at Mt Murphy making it a useful comparison with our dataset. To investigate possible causes of borderline Type 3 ratios at Mt Murphy, we modelled scenarios where samples from Sjögren Glacier were subject to either rapid exhumation from ice (Fig. 7a) or prolonged burial under ice (Fig. 7b), both of which would lead to higher in situ <inline-formula><mml:math id="M704" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> production relative to <inline-formula><mml:math id="M705" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> production in the subsurface (see Sect. 1.1). In these scenarios, in situ <inline-formula><mml:math id="M706" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> nuclide concentration is therefore expected to increase relative to <inline-formula><mml:math id="M707" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> and may explain impermissible Type 3 <inline-formula><mml:math id="M708" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M709" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concentration ratios. However, we observed ratios of in situ <inline-formula><mml:math id="M710" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M711" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> relative to <inline-formula><mml:math id="M712" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concentrations at Sjögren Glacier that cannot be reconciled by either of these processes. In both scenarios, if the concentration of <inline-formula><mml:math id="M713" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> atoms is <inline-formula><mml:math id="M714" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2000</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, which is very low, we observe high modelled <inline-formula><mml:math id="M715" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M716" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratios comparable to the in situ <inline-formula><mml:math id="M717" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M718" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concentration ratios in Sjögren Glacier samples. However, as soon as <inline-formula><mml:math id="M719" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> nuclide concentrations exceed 1000–2000 at <inline-formula><mml:math id="M720" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, we no longer observe high <inline-formula><mml:math id="M721" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M722" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratios due to high erosion rates rapidly removing accumulated nuclides or faster decay of in situ <inline-formula><mml:math id="M723" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> relative to <inline-formula><mml:math id="M724" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> offsetting the higher <inline-formula><mml:math id="M725" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M726" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> subsurface production ratio. In addition, all measured in situ <inline-formula><mml:math id="M727" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> nuclide concentrations from Sjögren Glacier Site C appear to be systematically offset by approximately 5000 extra <inline-formula><mml:math id="M728" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> atoms, suggesting a potential source of contaminant in situ <inline-formula><mml:math id="M729" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. A high proportion of those samples consist of vein quartz (see Table S3), and it is possible that impermissible (Type 3) <inline-formula><mml:math id="M730" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M731" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratios observed at Sjögren Glacier are due to an additional carbon source present in the quartz or incorporated during in situ <inline-formula><mml:math id="M732" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction instead of being geologically caused (Nichols and Goehring, 2019).</p>
      <p id="d2e12167">Overall, neither our comparison of the geomorphic setting of the Mt Murphy site with other locations (Sect. 4.1 and Supplement 1), our interrogation of paired <inline-formula><mml:math id="M733" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M734" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratios from the ICE-D database (including those from sites with Holocene <inline-formula><mml:math id="M735" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M736" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages), nor our efforts to model seemingly impermissible high <inline-formula><mml:math id="M737" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M738" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concentration ratios (Sects. 4.3 and S1.3) could provide a plausible geological explanation for the in situ <inline-formula><mml:math id="M739" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M740" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> dataset from Mt Murphy. In contrast, the sensitivity analysis of the Mt Murphy data (Sect. 4.2) did improve reproducibility of the older in situ <inline-formula><mml:math id="M741" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages, suggesting that the explanation for the young discordant in situ <inline-formula><mml:math id="M742" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages is likely related to sample preparation.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>In situ <inline-formula><mml:math id="M743" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> reproducibility assessment</title>
      <p id="d2e12313">To investigate potential sources of sample preparation uncertainty, we focus on evaluating in situ <inline-formula><mml:math id="M744" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurement reproducibility using both our new data from Mt Murphy and existing datasets from the ICE-D database for samples where two or more measurements had been made, excluding measurements of laboratory intercomparison materials such as CRONUS-A. In addition to the Mt Murphy results, a further 25 samples with repeat in situ <inline-formula><mml:math id="M745" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements are available in ICE-D, and we present a further two samples with replicate in situ <inline-formula><mml:math id="M746" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements from the Leymon High Core (Lupker et al., 2015) bringing the total number of samples with replicate in situ <inline-formula><mml:math id="M747" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements to 31. The majority of replicate measurements are reported from samples sourced from the Antarctic Peninsula (Balco and Schaefer, 2013), Weddell Sea Embayment (Nichols et al., 2019), Promontory Point (Pleistocene Lake Bonneville), Utah (Lifton et al., 2015a), and the Northwest Highlands, Scotland (Borchers et al., 2016). To each in situ <inline-formula><mml:math id="M748" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentration, we assign a measurement uncertainty of 6 % of the total concentration reported from AMS measurements for each replicate. Using a 6 % uncertainty is appropriate here because the majority of replicate measurements presently in the ICE-D database were measured at Tulane and 6 % is the published, and conventionally used, measurement uncertainty from that laboratory based on reproducibility of in situ <inline-formula><mml:math id="M749" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measured in CRONUS-A from 2015–2018 (Goehring et al., 2019a) cited in numerous studies (e.g., Balco et al., 2019, Nichols et al., 2019, Rand et al., 2025). In cases where in situ <inline-formula><mml:math id="M750" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> replicates were reported from a different extraction laboratory, and that laboratory reports measurement uncertainty exceeding 6 %, we assign the larger value to each in situ <inline-formula><mml:math id="M751" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentration.</p>
      <p id="d2e12413">From our reproducibility assessment of 31 replicate samples, 18 display one or more in situ <inline-formula><mml:math id="M752" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements that do not replicate within 6 % (<inline-formula><mml:math id="M753" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) measurement uncertainty (Fig. 8). There is a slight increase in reproducibility at <inline-formula><mml:math id="M754" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>, but 15 samples still exhibit one or more in situ <inline-formula><mml:math id="M755" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements that are not reproducible (Fig. S13 in the Supplement). These results include the 3 out of 4 in situ <inline-formula><mml:math id="M756" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations reported from Mt Murphy which do not replicate within the 6 % (<inline-formula><mml:math id="M757" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) measurement uncertainty, and 2 of 4 in situ <inline-formula><mml:math id="M758" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations do not replicate at <inline-formula><mml:math id="M759" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> (see Sect. 3.1). Notably, replicate measurements included in our Holocene filter analysis from the Antarctic Peninsula (Sjögren and Drygalski Glaciers, <inline-formula><mml:math id="M760" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>; see Sect. 4.3.1 and Fig. 8) also yielded many impermissible paired <inline-formula><mml:math id="M761" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M762" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ratios, suggesting a possible link between in situ <inline-formula><mml:math id="M763" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> reproducibility and Type 3 <inline-formula><mml:math id="M764" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M765" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> concentration ratios. However, the lack of an apparent geologic explanation for irreproducibility of in situ <inline-formula><mml:math id="M766" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements from field samples (see Sect. 4.3) suggests that the assumed measurement uncertainty may be too low. Such an issue has been noted previously by Borchers et al. (2016) where scatter of in situ <inline-formula><mml:math id="M767" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations from calibration sites (including the Northwest Highlands) exceeded stated measurement uncertainties.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e12604">In situ <inline-formula><mml:math id="M768" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in ICE-D with one or more replicate measurements from the same sample (<inline-formula><mml:math id="M769" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">31</mml:mn></mml:mrow></mml:math></inline-formula>). To enable comparison with the Mt Murphy dataset, in situ <inline-formula><mml:math id="M770" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentration error bars represent a 6 % measurement uncertainty based on repeatability of CRONUS-A measured at Tulane CNL (Goehring et al., 2019a).  The graph displays all samples with repeat in situ <inline-formula><mml:math id="M771" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations uploaded to ICE-D as of 29 March 2024 as well as repeat in situ <inline-formula><mml:math id="M772" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements from Mt Murphy samples (this study) and Leymon High bedrock core samples (Lupker et al., 2015). We use the measurement uncertainty reported with a particular study when this value exceeds the nominal 6 % (<inline-formula><mml:math id="M773" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) uncertainty.  Replicate in situ <inline-formula><mml:math id="M774" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements discussed in the text, including Turtle Rock, scoria cone, and Sjögren Glacier, are indicated by shaded bars. See Table S3 for full list of sample details.</p></caption>
          <graphic xlink:href="https://gchron.copernicus.org/articles/8/255/2026/gchron-8-255-2026-f08.png"/>

        </fig>

<sec id="Ch1.S4.SS4.SSS1">
  <label>4.4.1</label><title>In situ <inline-formula><mml:math id="M775" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> reproducibility – CRONUS-A and blank data</title>
      <p id="d2e12717">The long-term average in situ <inline-formula><mml:math id="M776" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentration measured in CRONUS-A reported from different in situ <inline-formula><mml:math id="M777" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction facilities ranges from <inline-formula><mml:math id="M778" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> for Tulane CNL to <inline-formula><mml:math id="M779" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.28</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> at ETH Zurich (Lupker et al., 2019). The CRONUS-A value reported from Tulane CNL, <inline-formula><mml:math id="M780" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (Goehring et al., 2019a), is 5 %–10 % lower than other in situ <inline-formula><mml:math id="M781" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction laboratories and below the consensus interlaboratory value (<inline-formula><mml:math id="M782" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula>) of <inline-formula><mml:math id="M783" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.97</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> of (Jull et al., 2015). In addition, the long-term CRONUS-A value suggested by all CRONUS-A measurements reported from Tulane CNL is even lower; <inline-formula><mml:math id="M784" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.88</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.59</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M785" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula>) from 22 December 2016–12 March 2021 (Table S5, Balco et al., 2023). LDEO report a higher than average – and 15.8 % higher than Tulane CNL – value for CRONUS-A (<inline-formula><mml:math id="M786" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula>) of <inline-formula><mml:math id="M787" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.98</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> for graphitised samples (Lamp et al., 2019; Young et al., 2021). Interlaboratory comparison of CRONUS-A in situ <inline-formula><mml:math id="M788" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values, therefore, is consistent with findings from our within laboratory sensitivity tests in Sect. 4.2 that suggest a 6 % in situ <inline-formula><mml:math id="M789" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurement uncertainty is too low (Jull et al., 2015).</p>

<table-wrap id="T5" specific-use="star"><label>Table 5</label><caption><p id="d2e13009">Summary of CRONUS-A intercomparison material and long-term blank values reported from different in situ <inline-formula><mml:math id="M790" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction facilities.  Note:  Tulane CNL and LDEO are examined more closely over several measurement cycles because in situ <inline-formula><mml:math id="M791" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measured from Mt Murphy samples was extracted at both facilities. The latest AixMICADAS gas ion source AMS measurements reported by LDEO highlight how gas ion source AMS in situ <inline-formula><mml:math id="M792" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements have reduced <inline-formula><mml:math id="M793" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> background levels reported by LDEO by removing a potential source of <inline-formula><mml:math id="M794" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> contamination from graphitisation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Extraction Laboratory</oasis:entry>
         <oasis:entry colname="col2">CRONUS A (<inline-formula><mml:math id="M795" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">No. CRONUS-A</oasis:entry>
         <oasis:entry colname="col4">Representative blank (atoms)</oasis:entry>
         <oasis:entry colname="col5">Associated Publication</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Tulane – reported 2019</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M796" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">10</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M797" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.98</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Goehring et al. (2019a)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Tulane – Mt Murphy (initial)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M798" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.88</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.59</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">18</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M799" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">*Balco et al. (2023)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Tulane – Mt Murphy (replicates)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M800" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M801" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.14</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.30</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">This publication.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LDEO – Graphitised pre-2014</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M802" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.74</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">5</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M803" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.19</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.37</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Lamp et al. (2019)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LDEO – Graphitised post-2014</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M804" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.98</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">13</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M805" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.17</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.37</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Young et al. (2021)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LDEO – AixMICADAS</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M806" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.62</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">5</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M807" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.84</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.21</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Young et al. (2021)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ETH Zurich (2011–2013)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M808" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.09</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.39</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">13</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M809" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.48</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.04</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Lupker et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ETH Zurich 2018</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M810" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.28</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">7</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M811" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.63</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.05</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Lupker et al. (2019)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cologne</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M812" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.72</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.71</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">6</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M813" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.00</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Fülöp et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ANSTO</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M814" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.93</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.44</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">14</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M815" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.98</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Fülöp et al. (2019)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PRIME Lab (Purdue)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M816" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.89</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">6</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M817" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.84</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.38</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Lifton et al. (2015b)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PRIME Lab (Purdue)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M818" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.08</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">12</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M819" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.40</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.90</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Lifton et al. (2023)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Working interlaboratory – Mean</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M820" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.93</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.44</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">23</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">Jull et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Working interlaboratory – Median</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M821" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.97</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">23</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">Jull et al. (2015)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e13072">* In Balco et al. (2023), long-term blank values for Tulane CNL surface sample measurements presented in our present study are not reported, but blank variability at Tulane CNL spanning the same time period is discussed at length.</p></table-wrap-foot></table-wrap>

      <p id="d2e13824">Inconsistencies in the interlaboratory reproducibility of CRONUS-A and corresponding underestimation of in situ <inline-formula><mml:math id="M822" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurement uncertainty have been documented in previous studies. These highlight that laboratories uniformly underestimated the magnitude by which empirical coefficients of variation exceeded average reported analytical uncertainties for all nuclides (Jull et al., 2015; Phillips et al., 2016a). However, the underestimation in the reported analytical uncertainty exceeds 300 % for <inline-formula><mml:math id="M823" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> on the CRONUS-A material (Phillips et al., 2016b), although subsequent analyses of CRONUS-A reproducibility following the CRONUS-Earth Project (e.g., Fülöp et al., 2019b; Goehring et al., 2019a; Lamp et al., 2019; Lifton et al., 2023) may alter this value.</p>
      <p id="d2e13852">The CRONUS-A intercomparison material is derived from a high elevation site (1612 m) in Antarctica with millions of years of constant exposure, making it saturated with respect to <inline-formula><mml:math id="M824" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (mean <inline-formula><mml:math id="M825" display="inline"><mml:mrow><mml:mtext>value</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.93</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.44</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, Jull et al., 2015).  Reproducibility estimates from CRONUS-A are, therefore, only representative for high concentration samples, for which AMS counting errors and blank contributions are typically low (Hippe, 2017).  Achieving the same level of measurement precision in a sample with a lower concentration of in situ <inline-formula><mml:math id="M826" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> is more challenging, and a typical sample exposed during the Holocene will yield an in situ <inline-formula><mml:math id="M827" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentration lower than CRONUS-A. For instance, sample TUR-132 from Turtle Rock (<inline-formula><mml:math id="M828" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ka</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, 446 m a.s.l.) has a mean in situ <inline-formula><mml:math id="M829" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentration of <inline-formula><mml:math id="M830" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.32</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">at</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M831" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>). Samples exposed during the Holocene, and particularly those at low elevations such as the scoria cone and Kay Peak, are therefore more sensitive than CRONUS-A to blank correction.</p>
      <p id="d2e14000">For our samples, the blank correction reported from Tulane CNL for in situ <inline-formula><mml:math id="M832" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> repeat measurements was higher than that of the initial <inline-formula><mml:math id="M833" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements (Table 5). The differences in in situ <inline-formula><mml:math id="M834" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations may be explained, in part, by several changes made to the extraction line at Tulane CNL between the two sets of extractions, including the addition of a new coil trap (Lifton et al., 2023) and a new mullite tube which was previously observed to increase background <inline-formula><mml:math id="M835" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (see Methods, Sect. 2.2). However, our sensitivity analyses indicate that applying different blank corrections based on the long-term blank data from Tulane CNL (cf. Table S5, Balco et al., 2023) neither reconcile young initial in situ <inline-formula><mml:math id="M836" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages with discordant <inline-formula><mml:math id="M837" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages or older replicate in situ <inline-formula><mml:math id="M838" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages (see Sect. 4.2) nor  the in situ <inline-formula><mml:math id="M839" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations from our Mt Murphy dataset that do not reproduce.</p>
      <p id="d2e14100">In an additional effort to identify a potential cause for lack of in situ <inline-formula><mml:math id="M840" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> reproducibility, we investigated if heterogeneities in quartz mineral separates could yield notably different in situ <inline-formula><mml:math id="M841" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the same sample (see Sect. S4, Tables S7 and Table S8 in the Supplement).  Impurities in quartz mineral separates have previously been evidenced to negatively impact the reproducibility of <inline-formula><mml:math id="M842" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> (Corbett et al., 2022). However, we found no link between abundance of impurities in quartz mineral separates and in situ <inline-formula><mml:math id="M843" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> reproducibility in the Mt Murphy samples.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><title>Summary and suggestions for future work</title>
      <p id="d2e14161">The findings presented in this paper suggest that routine laboratory uncertainties reported with our samples from Mt Murphy likely underestimated the true measurement uncertainty of in situ <inline-formula><mml:math id="M844" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for our dataset. This result is consistent with previous findings from the CRONUS-Earth Project (Borchers et al., 2016; Phillips et al., 2016a) and other studies (Hippe, 2017; Jull et al., 2015) where issues regarding the interlaboratory variation in reported CRONUS-A in situ <inline-formula><mml:math id="M845" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (<inline-formula><mml:math id="M846" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>) and in situ <inline-formula><mml:math id="M847" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> blank variability were shown to impact the accuracy and precision of in situ <inline-formula><mml:math id="M848" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements. A seemingly isolated issue associated with the initial in situ <inline-formula><mml:math id="M849" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extractions likely resulted in systematically young ages inconsistent with both the replicate measurements and previously published <inline-formula><mml:math id="M850" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages from Mt Murphy, as well as with records of the deglacial history of the Amundsen Sea Embayment more widely. The nature of the apparent loss of in situ <inline-formula><mml:math id="M851" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> from most of our samples during the initial extractions is not understood and is atypical of the considerable number of in situ <inline-formula><mml:math id="M852" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements reported from Tulane CNL. Nevertheless, complexities in our dataset highlight the value of routinely conducting replicate analyses not just for in situ <inline-formula><mml:math id="M853" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, but for all cosmogenic nuclides, especially if a dataset displays systematic offsets that cannot be accounted for by reported uncertainties. Ongoing developments, including automation of in situ <inline-formula><mml:math id="M854" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction (Goehring et al., 2019a; Lifton et al., 2023; Lupker et al., 2019), will help facilitate analysis of the additional replicates and process blanks needed to improve the precision of in situ <inline-formula><mml:math id="M855" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements. With a focus on improving in situ <inline-formula><mml:math id="M856" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> analytical reproducibility and precision, we therefore make the following suggestions for future work, which will ultimately contribute to the provision of robust combined <inline-formula><mml:math id="M857" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M858" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> chronologies: <list list-type="bullet"><list-item>
      <p id="d2e14349">Routinely undertake and report more in situ <inline-formula><mml:math id="M859" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> replicate measurements.  This will provide a check on quality control.</p></list-item><list-item>
      <p id="d2e14365">Conduct an in situ <inline-formula><mml:math id="M860" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> interlaboratory comparison study using additional intercomparison materials (e.g., CoQtz-N, CRONUS-R) to determine if apparent interlaboratory offsets reported for in situ <inline-formula><mml:math id="M861" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements of CRONUS-A are specific to CRONUS-A or are replicated for other samples. If interlaboratory offsets for in situ <inline-formula><mml:math id="M862" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements of CRONUS-A are consistent across other intercomparison materials, a standardization consensus value can be established, facilitating comparison of exposure age data generated by different in situ <inline-formula><mml:math id="M863" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction facilities.</p></list-item></list></p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusion</title>
      <p id="d2e14426">In this study, we presented new in situ <inline-formula><mml:math id="M864" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages from Mt Murphy, West Antarctica and compared them with published <inline-formula><mml:math id="M865" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> ages, identifying numerous conflicting exposure histories. Young in situ <inline-formula><mml:math id="M866" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ages from high elevations that are discordant with <inline-formula><mml:math id="M867" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> measured in the same sample appear to have deglaciated after concordant paired <inline-formula><mml:math id="M868" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M869" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages from lower elevations with simple exposure histories. There is no plausible geological explanation for divergent concordant-discordant exposure histories or excess scatter observed within the in situ <inline-formula><mml:math id="M870" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> dataset. Instead, we find that most of the replicate in situ <inline-formula><mml:math id="M871" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements performed on samples from Mt Murphy do not reproduce within a 6 % <inline-formula><mml:math id="M872" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> internal measurement uncertainty. Furthermore, concordant <inline-formula><mml:math id="M873" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M874" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> pairs at Mt Murphy with simple exposure histories exhibit reproducible in situ <inline-formula><mml:math id="M875" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations, but discordant in situ <inline-formula><mml:math id="M876" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages suggestive of complex exposure are not reproducible.  A subsequent sensitivity analysis applying a larger non-standard 10 % uncertainty to in situ <inline-formula><mml:math id="M877" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations improved the reproducibility of one of the replicate in situ <inline-formula><mml:math id="M878" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements; however, despite the larger assigned measurement uncertainty, half the in situ <inline-formula><mml:math id="M879" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations still did not reproduce. These observations from Mt Murphy are reflected in archived in situ <inline-formula><mml:math id="M880" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations extracted from the informal cosmogenic-nuclide exposure-age database (ICE-D), where replicate concentrations measured in 18 of 31 samples fail to reproduce within the 6 % <inline-formula><mml:math id="M881" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> measurement uncertainty (15 of 31 at <inline-formula><mml:math id="M882" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e14654">In summary, the results of our analysis of in situ <inline-formula><mml:math id="M883" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M884" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages from ICE-D are consistent with the interpretation that discordant in situ <inline-formula><mml:math id="M885" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M886" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages from Mt Murphy are a result of isolated issues with in situ <inline-formula><mml:math id="M887" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> reproducibility at the Tulane Cosmogenic Nuclide Laboratory (Tulane CNL), while concordant <inline-formula><mml:math id="M888" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M889" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> pairs are consistent with deglaciation (between 9–6 ka) identified by previous studies. Tulane CNL has produced a comparatively large number of in situ <inline-formula><mml:math id="M890" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> replicate measurements; having access to this laboratory's quality control data enabled us to identify inconsistencies in our dataset that crucially prevented us from drawing incorrect conclusions regarding Mt Murphy's deglacial history. We attribute the new discordant in situ <inline-formula><mml:math id="M891" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages reported from Mt Murphy that do not reproduce at <inline-formula><mml:math id="M892" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M893" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> to an unexplained issue with some of the initial in situ <inline-formula><mml:math id="M894" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements, which appears to have been rectified for the replicates. Our results highlight the need to perform replicate analyses when measuring in situ <inline-formula><mml:math id="M895" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> concentrations, and to fully investigate and quantify scatter in in situ <inline-formula><mml:math id="M896" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> datasets.</p>
      <p id="d2e14824">Several factors may contribute to the low in situ <inline-formula><mml:math id="M897" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> reproducibility observed in this study and require further investigation. These include long term blank variability within in situ <inline-formula><mml:math id="M898" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction facilities and differences in CRONUS-A measurements between in situ <inline-formula><mml:math id="M899" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extraction laboratories. Quantifying the excess scatter in in situ <inline-formula><mml:math id="M900" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements observed in this study is important because, if used in isolation, in situ <inline-formula><mml:math id="M901" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> exposure ages appear to currently lack the precision needed to reconstruct Holocene deglacial histories at sub-millennial resolution.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e14891">Some of the in situ <inline-formula><mml:math id="M902" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> data examined in this study were obtained from the informal cosmogenic-nuclide exposure age database (ICE-D) and remain unpublished. These data are, however, freely available in ICE-D under the public release requirements of the National Science Foundation (NSF) U.S. Antarctic Program which requires data be made publicly available 2 years after collection. In situ <inline-formula><mml:math id="M903" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> AMS and exposure age data shown in Table 1 are publicly accessible in the UK Polar Data Centre <ext-link xlink:href="https://doi.org/10.5285/dbb30962-bbf3-434a-9f27-6de2f61a86e2" ext-link-type="DOI">10.5285/dbb30962-bbf3-434a-9f27-6de2f61a86e2</ext-link> (Adams et al., 2024).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e14921">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/gchron-8-255-2026-supplement" xlink:title="zip">https://doi.org/10.5194/gchron-8-255-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e14930">The author contributions, following the CRediT authorship guidelines, are as follows – conceptualization: JRA, DHR, JSJ; methodology: JRA, DHR; validation: JRA, DHR; analysis: JRA, DHR; investigation: JRA, DHR, JSJ; resources: DHR, SJR, JSJ: data curation: JRA, DHR; original draft: JRA, DHR; review and editing: JRA, DHR, KW, SJR, JSJ: visualization: JRA; supervision: DHR, SJR, JSJ; administration: JRA, DHR, JSJ; funding acquisition: DHR, JSJ.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e14937">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e14943">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e14949">This work is from the “Geological History Constraints” GHC project, a component of the International Thwaites Glacier Collaboration (ITGC). Support was from National Science Foundation (NSF: grant OPP-1738989) and Natural Environment Research Council (NERC: grant NE/S006710/1, NE/S006753/1, NE/K011278/1 and NE/K012088/1). Logistics were provided by NSF-U.S. Antarctic Program and NERC-British Antarctic Survey. We acknowledge Mark Evans for assistance with rock sample preparation, Ryan Venturelli and Brent Goehring for performing the in situ <inline-formula><mml:math id="M904" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> extractions at Tulane Cosmogenic Nuclide Laboratory and Greg Balco for assistance with subsurface in situ <inline-formula><mml:math id="M905" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M906" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> production rate modelling and helpful advice on the manuscript. We also thank Keir Nichols for helpful advice on the manuscript. We would also like to thank the anonymous reviewers for their thorough assessments and helpful suggestions that have strengthened the manuscript. JRA would also like to credit his PhD examiners Derek Fabel and Yves Plancherel for thoughtful and encouraging discussions regarding this research. This is ITGC contribution No. ITGC-163.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e14990">This research has been supported by the Natural Environment Research Council (grant nos. NE/S006710/1, NE/S006753/1, NE/K012088/1, and NE/K011278/1) and the Directorate for Geosciences (grant no. OPP-1738989).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e14996">This paper was edited by Philippa Ascough and reviewed by four anonymous referees.</p>
  </notes><ref-list>
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