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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <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-2-81-2020</article-id><title-group><article-title>A new 30 000-year chronology for rapidly deposited sediments on the
Lomonosov Ridge using bulk radiocarbon dating and probabilistic
stratigraphic alignment</article-title><alt-title>A new 30 000-year marine chronology from the central Arctic Ocean</alt-title>
      </title-group><?xmltex \runningtitle{A new 30\,000-year marine chronology from the central Arctic Ocean}?><?xmltex \runningauthor{F. Muschitiello et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Muschitiello</surname><given-names>Francesco</given-names></name>
          <email>francesco.muschitiello@geog.cam.ac.uk</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>O'Regan</surname><given-names>Matt</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6046-1488</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Martens</surname><given-names>Jannik</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4252-5107</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>West</surname><given-names>Gabriel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6458-6245</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Gustafsson</surname><given-names>Örjan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1922-0527</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Jakobsson</surname><given-names>Martin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9033-3559</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Geography, University of Cambridge, Cambridge CB2
3EN, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>NORCE Norwegian Research Centre, Jahnebakken 5, 5007 Bergen, Norway</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Geological Sciences, Stockholm University, Svante
Arrhenius väg 8, 106 91 Stockholm, Sweden</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Environmental Science, Stockholm University, Svante
Arrhenius väg 8, 106 91 Stockholm, Sweden</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Francesco Muschitiello (francesco.muschitiello@geog.cam.ac.uk)</corresp></author-notes><pub-date><day>22</day><month>April</month><year>2020</year></pub-date>
      
      <volume>2</volume>
      <issue>1</issue>
      <fpage>81</fpage><lpage>91</lpage>
      <history>
        <date date-type="received"><day>26</day><month>October</month><year>2019</year></date>
           <date date-type="rev-request"><day>7</day><month>November</month><year>2019</year></date>
           <date date-type="accepted"><day>25</day><month>March</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 </copyright-statement>
        <copyright-year>2020</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/.html">This article is available from https://gchron.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://gchron.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://gchron.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e143">We present a new marine chronostratigraphy from a
high-accumulation rate Arctic Ocean core at the intersection of the
Lomonosov Ridge and the Siberian margin, spanning the last <inline-formula><mml:math id="M1" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 kyr. The chronology was derived using a combination of bulk <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> dating and stratigraphic correlation to Greenland ice-core records. This was
achieved by applying an appositely developed Markov chain Monte Carlo
algorithm for Bayesian probabilistic alignment of proxy records. The
algorithm simulates depositionally realistic alignments that are consistent
with the available radiocarbon age estimates and allows deriving uncertainty bands associated with the inferred alignment. Current composite chronologies from this region are reasonably consistent with our age model during the Holocene and the later part of deglaciation. However, prior to
<inline-formula><mml:math id="M3" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14 kyr BP they yield too old age estimates with offsets that
linearly increase up to <inline-formula><mml:math id="M4" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 40 kyr near the onset of Marine
Isotope Stage (MIS) 2. Our results challenge the robustness of previous
regional chronostratigraphies and provide a new stratotype for correlation
of sediment cores from this sector of the Lomonosov Ridge and East Siberian
slope. In particular, they call for a re-interpretation of events in recent
sea-ice proxy reconstructions (Xiao et al., 2015) inaccurately
attributed to MIS 3 and the Last Glacial Maximum.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e188">Sedimentation rates along many of the Arctic margins are an order of
magnitude higher (<inline-formula><mml:math id="M5" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 5–10 cm kyr<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) than in the central basins
(<inline-formula><mml:math id="M7" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 1–2 cm kyr<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) (Wegner et al., 2015).
These higher accumulation rates can provide detailed insights into glacial
and Holocene Arctic paleoceanographic variability (i.e., Jakobsson et al., 2010). High-resolution marine sediment cores
from Arctic margins are used to constrain deglacial transgression of the
shelves (Bauch et al., 2001; Cronin et al.,
2017; Jakobsson et al., 2017; O'Regan et al., 2018), reconstruct variability
in sea ice (Stein
and Fahl, 2000; De Vernal et al., 2005; Xiao et al., 2015), and fluxes of
organic matter from rivers and coastal erosion (Hilton
et al., 2015; Martens et al., 2019; Stein et al., 2001; Tesi et al., 2016).</p>
      <p id="d1e229">Like all paleoclimate time series, Arctic Ocean reconstructions must be
anchored in a robust chronology (Backman et al., 2004).
Although tephrochronology (Pearce et al., 2017) and
paleosecular variation (Barletta et al., 2010;
Lisé-Pronovost et al., 2009; Lund et al., 2016) were successfully
applied in the Chukchi and Beaufort seas, radiocarbon dating of calcareous
microfossils continues to underpin most glacial and Holocene chronologies
from the Arctic Ocean. However, the rare and often discontinuous occurrence
of calcareous microfossils in Arctic Ocean sediments commonly hinders the
development of detailed age models. Altogether, these issues make the
reconstruction of depositional histories of Arctic<?pagebreak page82?> Ocean sedimentary records
inherently challenging. One approach to overcome this is through
stratigraphic correlation to independently dated sediment cores, or marker
horizons (Alexanderson et al., 2014; O'Regan et al.,
2019; Sellén et al., 2010). These regional composite stratigraphies
provide a valuable tool for dating sediments, but they can also result in
perpetuating errors in the developed chronologies. As such there is a
continued need to revisit, test, and improve upon them, as well as to
quantify age uncertainties to enable researchers to gauge interpretations
and conclusions with respect to their results.</p>
      <p id="d1e232">In this study we present a new detailed chronology of the last
<inline-formula><mml:math id="M9" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 kyr for a core retrieved from an area with high sediment
accumulation on the Asian end of the Lomonosov Ridge, bordering the east
Siberian and Laptev seas. The need for revising the chronology of sediments
from this region of the Arctic emerged from discrepancies between a
previously proposed age model and results from <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> radiocarbon dating of bulk sediments.</p>
      <p id="d1e254">The new chronology was derived by leveraging the temporal information from
bulk radiocarbon dating and stratigraphic correlation to Greenland ice cores
using a new probabilistic alignment algorithm appositely developed for this
study. The benefits of the algorithm are threefold: it simulates
depositionally realistic marine sediment–ice core proxy data alignments that
are consistent with the existing independent radiocarbon age estimates; it
ensures reproducibility of age-model solutions; it allows deriving age
confidence bands inherent to the alignment process via Bayesian uncertainty
inference. Our new age model results are considered in the context of
published composite chronostratigraphies from this sector of the Arctic
Ocean. Age discrepancies are quantified and implications of these findings
are discussed.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Coring and study site</title>
      <p id="d1e272">Core SWERUS-C3-31-PC (hereafter referred to as 31-PC) was acquired on Leg 2
of the SWERUS-C3 2014 expedition on IB <italic>Oden</italic>, which departed 21 August from Utqiaġvik (formerly Barrow),
Alaska, and ended 3 October in Tromsø, Norway. The core was retrieved
from the intersection of the southern Lomonosov Ridge and the Siberian
continental margin, bordering the East Siberian and Laptev seas
(79.91<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 143.23<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; 1120 m water depth) (Fig. 1). It
was collected with a piston corer (PC) with an outside/inside diameter of
110/100 mm, rigged with a 1360 kg core head. The unsplit sediment cores were allowed to equilibrate to room temperature (20 <inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and subsequently logged shipboard on a Multi-Sensor Core Logger (MSCL). The cores were split
and described shipboard and imaged using a digital line-scanning camera.<?xmltex \hack{\newpage}?></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e308">Map of study area with location of core SWR-31PC and regional
sites used in the construction of the pre-Holocene and
postglacial sediments of PS2767 by Stein et al. (2001).
Bathymetry from the International Bathymetric Chart of the Arctic Ocean
(IBCAO) (Jakobsson et al., 2012).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gchron.copernicus.org/articles/2/81/2020/gchron-2-81-2020-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Physical properties</title>
      <p id="d1e325">Bulk density (<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>B</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and magnetic susceptibility (Bartington loop
sensor) were measured at a downcore resolution of 1 cm on the MSCL (Fig. 2).
Porosity (<inline-formula><mml:math id="M15" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula>) was calculated from the MSCL measured bulk density using
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M16" display="block"><mml:mrow><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>G</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>B</mml:mtext></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>G</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>F</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where a constant fluid density (<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>F</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) of 1.024 g cm<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and grain density (<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>G</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) of <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.67</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> g cm<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> were applied. The
grain density was determined by 11 shore-based measurements made on
freeze-dried sediments from 31-PC using a Micromeritics AccuPyc 1340
helium displacement pycnometer.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e453">Lithostratigraphy of cores SWR-31-PC and PS2767-4 based on
physical property measurements. The overall similarity in the sedimentary
sequences is clear and illustrated using three prominent horizons. (i) A
pronounced peak in magnetic susceptibility that accompanies a notable
reduction in the silt and subsequent increase in the sand fraction. This
interval precedes a clear increase in the organic carbon content of both
records. (ii) A 40–60 cm silt and sand enriched layer that is also captured in
the higher resolution bulk density records from each core. (iii) An interval
of increased magnetic susceptibility and organic carbon content that extends
from the base of each core and ends before a prominent correlative peak in
the sand content. The Marine Isotope Stage boundaries (after Lisiecki and Raymo, 2005) proposed by Fahl and Stein (2012) for PS2767-4 are shown. Circles are direct radiocarbon dates on
mollusk shells in PS2767-4 (Müller and Stein,
2000), while the star marks the correlated placement of a radiocarbon date
obtained from a mollusk shell in PS2741 (Stein et al., 2001).</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://gchron.copernicus.org/articles/2/81/2020/gchron-2-81-2020-f02.png"/>

        </fig>

      <p id="d1e462">Sediment grain size (<inline-formula><mml:math id="M22" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 2 mm) was measured at a 2 cm downcore
resolution using a Malvern Mastersizer 3000 laser diffraction particle size
analyzer. Wet samples were immersed in a dispersing agent (<inline-formula><mml:math id="M23" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 10 %
sodium hexametaphosphate solution) and placed in an ultrasonic bath to ensure
full particle disaggregation before analyses.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><?xmltex \opttitle{TOC analysis and {$\protect\chem{{}^{{14}}C}$} dating}?><title>TOC analysis and <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> dating</title>
      <p id="d1e500">Bulk total organic carbon (TOC) analyses were performed after freeze-drying
and homogenizing 80 samples taken from 31-PC at 10 cm intervals (Fig. 2). A
split of <inline-formula><mml:math id="M25" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 mg of sediment was weighed in silver capsules
and acidified with 3 M HCl to remove carbonates. The TOC of the samples<?pagebreak page83?> was
measured using a Carlo Erba NC2500 elemental analyzer in the Department of
Geological Sciences, Stockholm University.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e513">Chronological information for core SWR-31PC used to construct the
chronology presented in this study and shown in Fig. 3. To account for an
unknown local reservoir age during the Early Holocene, the mollusk shell age
was calibrated using a correction of <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:msubsup><mml:mn mathvariant="normal">0</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>. Prior
uncertainty range of bulk ages was calculated using their maximum calibrated
age (without marine reservoir adjustment) and their median calibrated age
minus 20 000 years to conservatively account for an unknown amount of
<inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-dead carbon in our bulk sediment samples. It should be noted that a
subtraction of 20 000 years was chosen arbitrarily (i.e., non-informative
prior) in order to define an overly large depth–age space that
conservatively bound the sedimentation history of core 31-PC. To comply with
the principle of superposition and ensure that depositional ages always
increase monotonically with depth, we impose that, if a given calibrated
bulk age minus 20 000 years is younger than the minimum calibrated age of
the marine mollusk, the latter is assigned as a lower age boundary.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <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="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><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> age</oasis:entry>
         <oasis:entry colname="col4">Error</oasis:entry>
         <oasis:entry colname="col5">Calibrated median</oasis:entry>
         <oasis:entry colname="col6">Assigned prior uncertainty</oasis:entry>
         <oasis:entry colname="col7">Note/</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Depth (m)</oasis:entry>
         <oasis:entry colname="col2">Lab ID</oasis:entry>
         <oasis:entry colname="col3">(years BP)</oasis:entry>
         <oasis:entry colname="col4">(years)</oasis:entry>
         <oasis:entry colname="col5">age (years BP)</oasis:entry>
         <oasis:entry colname="col6">range (years)</oasis:entry>
         <oasis:entry colname="col7">material</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">0</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">0–400</oasis:entry>
         <oasis:entry colname="col7">Surface tie point</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1.4</oasis:entry>
         <oasis:entry colname="col2">OS-134758</oasis:entry>
         <oasis:entry colname="col3">8910</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M29" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>40</oasis:entry>
         <oasis:entry colname="col5">9262</oasis:entry>
         <oasis:entry colname="col6">8289–10 236</oasis:entry>
         <oasis:entry colname="col7">Mollusk shell</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2.505</oasis:entry>
         <oasis:entry colname="col2">OS-137059</oasis:entry>
         <oasis:entry colname="col3">16 100</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M30" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>120</oasis:entry>
         <oasis:entry colname="col5">19 421</oasis:entry>
         <oasis:entry colname="col6">8289–19 574</oasis:entry>
         <oasis:entry colname="col7">Bulk</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3.905</oasis:entry>
         <oasis:entry colname="col2">OS-134522</oasis:entry>
         <oasis:entry colname="col3">17 450</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M31" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>130</oasis:entry>
         <oasis:entry colname="col5">21 077</oasis:entry>
         <oasis:entry colname="col6">8289–21 275</oasis:entry>
         <oasis:entry colname="col7">Bulk</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4.305</oasis:entry>
         <oasis:entry colname="col2">OS-136332</oasis:entry>
         <oasis:entry colname="col3">20 600</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M32" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>150</oasis:entry>
         <oasis:entry colname="col5">24 808</oasis:entry>
         <oasis:entry colname="col6">8289–25 040</oasis:entry>
         <oasis:entry colname="col7">Bulk</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4.705</oasis:entry>
         <oasis:entry colname="col2">OS-134523</oasis:entry>
         <oasis:entry colname="col3">16 900</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M33" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>130</oasis:entry>
         <oasis:entry colname="col5">20 381</oasis:entry>
         <oasis:entry colname="col6">8289–20 549</oasis:entry>
         <oasis:entry colname="col7">Bulk</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5.805</oasis:entry>
         <oasis:entry colname="col2">OS-134524</oasis:entry>
         <oasis:entry colname="col3">22 900</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M34" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>270</oasis:entry>
         <oasis:entry colname="col5">27 195</oasis:entry>
         <oasis:entry colname="col6">8289–27 505</oasis:entry>
         <oasis:entry colname="col7">Bulk</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6.405</oasis:entry>
         <oasis:entry colname="col2">OS-136336</oasis:entry>
         <oasis:entry colname="col3">36 400</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M35" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1100</oasis:entry>
         <oasis:entry colname="col5">40 821</oasis:entry>
         <oasis:entry colname="col6">20 821–41 905</oasis:entry>
         <oasis:entry colname="col7">Bulk</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7.275</oasis:entry>
         <oasis:entry colname="col2">OS-144758</oasis:entry>
         <oasis:entry colname="col3">27 900</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M36" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>450</oasis:entry>
         <oasis:entry colname="col5">31 850</oasis:entry>
         <oasis:entry colname="col6">11 850–32 298</oasis:entry>
         <oasis:entry colname="col7">Bulk</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7.675</oasis:entry>
         <oasis:entry colname="col2">OS-134525</oasis:entry>
         <oasis:entry colname="col3">29 500</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M37" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>640</oasis:entry>
         <oasis:entry colname="col5">33 541</oasis:entry>
         <oasis:entry colname="col6">13 541–34 238</oasis:entry>
         <oasis:entry colname="col7">Bulk</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e943">Eight bulk sediment samples and one marine mollusk shell were sent to NOSAMS
for <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> dating (Table 1). Despite shipboard and shore-based efforts, no
further carbonate microfossils were found in 31-PC that could be used for
radiocarbon dating, including foraminifera, mollusks, and ostracods. In
order to remove carbonates from the bulk sediment samples, the samples
received HCl vapor treatment. Results were reported as conventional <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>
years (Stuiver et al., 1977) and then converted
into <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> calendar years (cal ka BP) using Calib 7.1 (Stuiver et al., 2018). Bulk <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> estimates were
calibrated using the IntCal13 radiocarbon calibration curve (Reimer et al., 2013). To conservatively account for the unknown amount of <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>-dead carbon in the bulk sediment
samples, we assigned a lower bound on the uncertainty of the bulk dates by
arbitrarily subtracting 20 000 years from their median calibrated age
(Table 1). We adopted this strategy to achieve highly non-informative priors
for the proposed Bayesian age modeling procedure detailed in Sect. 2.4.</p>
      <p id="d1e1007">By contrast, the mollusk shell <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> estimate (Early Holocene in age) was calibrated against Marine 13 using a regional reservoir
correction (<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula>) of <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msubsup><mml:mn mathvariant="normal">0</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> years to account for unknown
changes in the local marine reservoir correction. We deem this choice of
<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula> uncertainty to be a conservative estimate. A lower <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula>
bound of <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula> years implies a marine <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msup><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 that nearly approximates
the age of the contemporaneous atmosphere at the time of deposition (i.e.,
virtually no marine reservoir effect). On the other hand, an upper <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula> bound of <inline-formula><mml:math id="M51" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1000 years largely overestimates the established local
<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula> value of <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">49</mml:mn></mml:mrow></mml:math></inline-formula> years generally found in the literature
(e.g., Bauch et al., 2001). This if further confirmed by
precisely dated benthic foraminifera from the Norwegian Sea, which monitor
intermediate waters leaving the Nordic Seas and feeding the Arctic Ocean
and indicate <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula> values of about 0 years (i.e., close to modern)
during the late Younger Dryas stadial and Early Holocene
(Muschitiello et al., 2019).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Chronology</title>
<sec id="Ch1.S2.SS4.SSS1">
  <label>2.4.1</label><title>Probabilistic algorithm for stratigraphic alignment</title>
      <p id="d1e1161">In the absence of independent means for constraining the chronology of core
31-PC and due to the scarce fossiliferous content, we here rely on a novel
combination of (i) bulk radiocarbon dating and (ii) proxy-to-proxy stratigraphic
alignment. Both dating strategies come with limitations and benefits. For
instance, bulk sediment dates do not always reflect<?pagebreak page84?> the true depositional
age of the associated stratum and can yield considerably older ages due to
varying contamination with <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>-dead carbon. However, despite its
inherent poor accuracy, bulk dating still offers valuable chronological
information as it generally provides a maximum estimate of the age of
deposition for a particular stratum. On the other hand, correlation of
proxy-climate records leans on the assumption that changes in a particular
stratigraphic parameter in an undated record correspond to approximately
contemporaneous events in a master reference record that contains direct
dating information. This method, though theoretically accurate, always has
potential for subjectivity. As such, manual identification of tie points
across the input and target records introduces subjective constraints on
sedimentation rate changes, which are often difficult to validate and do not
incorporate uncertainties associated with the proposed alignment.</p>
      <p id="d1e1176">To surmount these issues and ultimately derive a chronology for 31-PC that
leverages the strengths of both dating strategies, we applied a customized
hidden Markov model alignment algorithm. The algorithm evaluates alignments
probabilistically based on direct observations of sedimentation rate changes
from radiocarbon data measured on the sediment core of interest. This
strategy not only improves alignment accuracy but also produces realistic
alignments, ensures reproducibility, and allows deriving Bayesian credible
bands associated with the alignment procedure.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e1181"><bold>(a)</bold> Weighted mean placement of SWR-31PC porosity record on the GICC05 timescale (Rasmussen
et al., 2006) via correlation to GISP2 <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> data. The records
are presented in normalized units. <bold>(b)</bold> Probabilistic age model of SWR-31PC
based on <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msup><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 constraints and stratigraphic alignment to GISP2
<inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. Solid bars reflect age range of calibrated ages. Dashed
lines show the maximum age uncertainty range assigned to each date to inform
the MCMC alignment model. Posterior 99 % credible intervals of the
alignment relative to the weighted mean age estimate are shown in the
right-hand panel.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gchron.copernicus.org/articles/2/81/2020/gchron-2-81-2020-f03.png"/>

          </fig>

      <p id="d1e1234">In our algorithm, radiocarbon dates are used as gateways to bound a
relatively large empirical and depositionally realistic depth–age space that
conservatively encapsulates the sedimentation history of the record of
interest (i.e., note the wide age uncertainty ranges for the bulk dates and
the one marine mollusk shell presented in Fig. 3 and Table 1). This domain
is subsequently explored by sampling alignments between an input proxy
record and an independently dated target record in proportion to their
probability. More explicitly,<?pagebreak page85?> in this study we use observed sedimentation
rate changes, inferred from the available bulk (and one fossiliferous) <inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C estimates (Table 1), to probabilistically evaluate the alignments
between sediment porosity (<inline-formula><mml:math id="M60" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula>) from 31-PC – a robust sedimentological
parameter mainly reflecting grain size variations – and GISP2 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
data (Seierstad et al., 2014) – an indicator of large-scale climate variability. The alignment
hinges on the assumption that shifts in sedimentological properties at our
coring site and high-latitude hydroclimate, as recorded in Greenland ice
cores, are virtually synchronous. We speculate that downcore variations in
porosity reflect, to some degree, changes in fluvial runoff and sediment
flux into the Arctic Ocean resulting from larger-scale hydroclimate
changes, which are well expressed in ice-core records over the summit region
of Greenland. This assumption is consistent with existing Arctic
paleoceanographic reconstructions of the last glacial cycle, which show a
good agreement with Greenland ice-core <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> profiles
(Cronin et al., 2012). While considering the probabilities for
sedimentation rate changes at our coring site, the algorithm estimates a
sample of optimal alignments that relate the depth scale of 31-PC to the
timescale underlying the GISP2 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> data, i.e., the Greenland Ice Core Chronology 2005 (GICC05) (Rasmussen
et al., 2006).</p>
      <p id="d1e1292">Our numerical approach builds upon previous work using Bayesian Markov chain
Monte Carlo inversion for probabilistic alignment of paleoclimate records (Malinverno, 2013;
Muschitiello et al., 2015; West et al., 2019), which has been successfully
applied on a variety of terrestrial and marine archives (Muschitiello
et al., 2019; Sessford et al., 2019; Wohlfarth et al., 2017). It should be
noted that our algorithm, though analogous in spirit to that devised by Lin et al. (2014), is fundamentally
different. The method by Lin et al. (2014)
weighs the probability of an alignment between a given input and a target
record according to a distribution of sedimentation rate change obtained
from a spatial network of radiocarbon-based estimates from low latitudes.
Our method instead, rather than relying on compilation-based observations,
employs direct in situ radiocarbon estimates of depositional variability.</p>
</sec>
<sec id="Ch1.S2.SS4.SSS2">
  <label>2.4.2</label><title>Statistical method</title>
      <p id="d1e1303">Prior to alignment, the input <inline-formula><mml:math id="M64" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> and target GISP2 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> time series
were scaled between <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and 1. The alignment is described by random variables
<inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which relate the depth of the <inline-formula><mml:math id="M68" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>th data point in the input record
(<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mi>i</mml:mi><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:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula>) for all depths to unknown ages on the target
GICC05 timescale. We then express an alignment vector <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">A</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) as a series of assignments of GICC05 ages for
every depth in the input record <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>d</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>d</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>d</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) at which <inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> was measured. Note that this strategy circumvents
the shortcomings of using interpolation to process unevenly spaced data and
enables alignment of each individual <inline-formula><mml:math id="M73" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> data point to the GISP2
<inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> record. The alignment vector is defined at any point <inline-formula><mml:math id="M75" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> on the depth scale of 31-PC by a linear interpolation between 11 age-uncertain
depth–age nodes (Fig. 3 and Table 1): one surface node; one node based on a
mollusk shell <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> estimate; eight nodes based on bulk <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>
estimates; and one perturbed node at a random location <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mi>n</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>) to ensure sampling sedimentation rate changes between
any two consecutive empirical age constraints. The nodes strictly follow
depth–age paths that do not violate the principle of superposition in order
to ensure that the depositional age of the input record increases
monotonically with depth. Considering a perturbed node at depth <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
sedimentation rates between two adjacent levels <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are
allowed to change over a wide range of values spanning <inline-formula><mml:math id="M82" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.01–100 cm yr<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>
      <p id="d1e1602">Since the alignment process is fundamentally uncertain, we apply probability
theory in the age assignments of the alignment vector <inline-formula><mml:math id="M84" display="inline"><mml:mi mathvariant="bold-italic">A</mml:mi></mml:math></inline-formula>. Specifically, the
requirement of a good match between the <inline-formula><mml:math id="M85" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> and the GISP <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
records that at the same time accounts for unobserved changes in
sedimentation rates is here derived using Bayes' rule of probabilistic
inference. The rule combines the probability that the given <inline-formula><mml:math id="M87" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> data
would be observed for a particular alignment (i.e., the likelihood model),
with the probability that a given alignment would be observed independent of
any <inline-formula><mml:math id="M88" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> data (i.e., the prior model).</p>
      <p id="d1e1646">The likelihood is specified by the probability for a given residual misfit
between the aligned <inline-formula><mml:math id="M89" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> record and the target GISP2 <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. In the
alignment problem posed here, it determines the set of nodes that give a
good alignment between the input and the target by weighing the competing
needs of a small root-mean-square deviation (RMSD) and a high coefficient of
correlation (<inline-formula><mml:math id="M91" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>). The RMSD formula is
              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M92" display="block"><mml:mrow><mml:mtext>RMSD</mml:mtext><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mo>(</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>O</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M93" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the number of aligned data points in the input record, <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi>O</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the rescaled <inline-formula><mml:math id="M95" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> value for <inline-formula><mml:math id="M96" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>th point in the input record, and
<inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the corresponding rescaled GISP2 <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> value of a proposed alignment.</p>
      <?pagebreak page86?><p id="d1e1784">The prior, on the other hand, is specified by the probability of any given
depth–age function, which in turn depends on the prior age uncertainty
distribution assigned to the radiocarbon constraints (Table 1) and the
distribution of sedimentation rate changes assigned to the perturbed node
(here both defined as uniform distributions). The posterior probability for
any given alignment is proportional to the product of likelihood and prior
and can be written as follows:
              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M99" display="block"><mml:mtable class="split" rowspacing="0.2ex" columnspacing="1em" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>|</mml:mo><mml:mtext>data</mml:mtext><mml:mo>,</mml:mo><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mtext>data</mml:mtext><mml:mo>|</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>)</mml:mo><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>|</mml:mo><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>k</mml:mi></mml:msubsup><mml:mi>P</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mtext>data</mml:mtext><mml:mo>|</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow></mml:mfenced><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>|</mml:mo><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi>j</mml:mi><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:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mi>k</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
            where <inline-formula><mml:math id="M100" display="inline"><mml:mi mathvariant="italic">φ</mml:mi></mml:math></inline-formula> are the parameters associated with the alignment and
<inline-formula><mml:math id="M101" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> the parameters used in the likelihood model. The
denominator in Eq. (3) reflects the full likelihood calculated by
summing over all possible <inline-formula><mml:math id="M102" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> mutually exclusive and exhaustive alignments.</p>
      <p id="d1e1952">The notation <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mtext>data</mml:mtext><mml:mo>|</mml:mo><mml:mi mathvariant="bold-italic">A</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> gives the probability that the input <inline-formula><mml:math id="M104" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> record would be
observed for a particular alignment <inline-formula><mml:math id="M105" display="inline"><mml:mi mathvariant="bold-italic">A</mml:mi></mml:math></inline-formula>. The notation <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="bold-italic">A</mml:mi><mml:mo>|</mml:mo><mml:mi mathvariant="italic">φ</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> specifies the probability for
the alignment vector <inline-formula><mml:math id="M107" display="inline"><mml:mi mathvariant="bold-italic">A</mml:mi></mml:math></inline-formula> given the parameters used to constrain the depth–age
model relationship (i.e., the depth–age nodes). <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="bold-italic">A</mml:mi><mml:mo>|</mml:mo><mml:mtext>data</mml:mtext><mml:mo>,</mml:mo><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>
gives the posterior probability of a given alignment. Calculation of the
posterior probability proceeds by sampling an initial value for each unknown
parameter from the associated prior distributions using a reversible jump
Markov chain Monte Carlo (MCMC) sampling  (Vihola,
2012). The algorithm continues by
<list list-type="order"><list-item>
      <p id="d1e2039">proposing a “candidate” depth–age model and the resulting alignment
between the input <inline-formula><mml:math id="M109" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> data and the target GISP2 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> record.</p></list-item><list-item>
      <p id="d1e2063">accepting or rejecting the candidate depth–age model (and associated
alignment) according to its posterior probability using the
Metropolis–Hastings algorithm (Hastings,
1970; Metropolis et al., 1953), whereby the posterior probability is higher
for alignment functions that yield a closer match between <inline-formula><mml:math id="M111" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> and GISP2
<inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (i.e., as defined by a relatively smaller RMSD and higher <inline-formula><mml:math id="M113" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>).</p></list-item><list-item>
      <p id="d1e2094">repeating from step 1 for <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</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> iterations.</p></list-item></list></p>
      <p id="d1e2112">By convention the sample was divided in two parts. We discarded the initial
10<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:math></inline-formula> samples (“burn-in” period), which in our case corresponds to
the MCMC sample length necessary to reach model convergence. The median of
the remainder alignment sample was used to infer the posterior optimal
correlation, while its variability was used to obtain posterior alignment
credible bands. Similarly, the sample of accepted depth–age models was used
to find posterior median and credible bands for the chronology of 31-PC.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Evaluating the existing regional chronology</title>
      <p id="d1e2141">Sediment physical property measurements (bulk density, magnetic
susceptibility, grain size, and TOC) performed on 31-PC allow us to firmly
establish a lithostratigraphic correlation to a neighboring sediment core
(PS2767-4) collected by RV <italic>Polarstern</italic> during expedition ARK-XI/1 in 1995 (Rachor, 1997). PS2767-4 is underpinned by a published composite
chronology that was constructed using cross-correlation and the amalgamation
of dating information across a number of regional marine sediment sequences
(Figs. 1 and 2) (Stein et al., 2001, 2012).</p>
      <p id="d1e2147">Core PS2767-4 is located only 24 km south of 31-PC (Fig. 1). This 8.22 m
long core is thought to be younger than 60 kyr BP, implying that it contains
a complete record of MIS 3 through 1 (Stein et al., 2001,
2012). It has been used to investigate organic matter delivery from the
Laptev shelf (Stein
et al., 2001; Stein and Fahl, 2000) and more recently for biomarker-based
reconstructions of sea ice variability during the last glacial cycle (Stein et al., 2012; Xiao et al., 2015).</p>
      <p id="d1e2150">The Holocene and postglacial age model for PS2767-4 was dated primarily
using <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> radiocarbon dates on three mollusk shells, while the
pre-Holocene stratigraphy is based on correlation to other records where
oxygen isotopes, magnetostratigraphy, and dinoflagellate biostratigraphy have
been used to infer approximate ages (Stein et al., 2001). These older
regional age constraints were mapped onto PS2767-4 using a regional
correlation between magnetic susceptibility records and sediment lithology (Stein et al., 2001).
Stein and Fahl (2012) recognized that in the absence of direct dating, the
pre-Holocene stratigraphy of this record remained tentative (Figs. 1 and 2). Examination of the stratigraphic profiles for 31-PC and PS-2767-4 on
their independent depth scale reveals an unequivocal coherence across
multiple parameters, which argues in favor of a consistent depositional
history at the two sites (Fig. 2).</p>
      <p id="d1e2165">Although the postglacial and Holocene age model for PS-2767-4 is fairly
robust, being variably dated by <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msup><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 each of the
correlated records, the inferred ages for glacial sediments (MIS 2–4) are
considerably less well-constrained (Fig. 2) (Stein et al.,
2012). Boundaries between MIS 2, 3, and 4 are demarcated mainly by
correlative changes in sediment lithology and organic matter content, and they are dated
using a dinocyst-based stratigraphy developed for PS2471-1
(Matthiessen et al., 2001) (Fig. 1). Results from our bulk
<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> radiocarbon dates illustrate a clear deviation in the proposed age model for PS-2767-4 beyond <inline-formula><mml:math id="M119" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14 kyr BP. The two near-bottom
bulk <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> dates yield an uppermost bound of <inline-formula><mml:math id="M121" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 31.8 and
<inline-formula><mml:math id="M122" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 33.5 kyr BP (Table 1, Fig. 2) for the base of 31-PC. Given
that the near-basal depositional age of 31-PC cannot be older than the late
MIS 3/early MIS 2, it seems unlikely that sediment from PS2767-4 can date
back to 60 kyr BP (i.e., MIS 4), as previously suggested (Stein
et al., 2012).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e2229"><bold>(a)</bold> Profiles of sedimentological/geochemical properties of core SWR-31PC (this study) and core PS2767-4 (Müller and Stein, 2000) on their independent depth scales. A semi-quantitative reconstruction of sea-ice conditions from
core PS2767-4 based on the brassicasterol- IP<inline-formula><mml:math id="M123" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">25</mml:mn></mml:msub></mml:math></inline-formula> index
(P<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mtext>B</mml:mtext></mml:msub></mml:math></inline-formula>IP<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">25</mml:mn></mml:msub></mml:math></inline-formula>) is also presented (Xiao et al., 2015). <bold>(b)</bold> Age–depth model comparison between core SWR-31PC and PS2767-4. Blue shading
reflects the 99 % confidence limit of the age model of core SWR-31PC. White
dots reflect tie points/age constraints used to construct the chronology of
core PS2767-4 (Müller and Stein, 2000). Note
stratigraphic similarities between the sedimentological signals as opposed
to the large age offset prior to <inline-formula><mml:math id="M126" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14 kyr BP.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://gchron.copernicus.org/articles/2/81/2020/gchron-2-81-2020-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Proposed age model</title>
      <?pagebreak page87?><p id="d1e2285">The outcomes of the probabilistic alignment and the resulting age model for
31-PC are presented in Fig. 3. The correlation between <inline-formula><mml:math id="M127" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> and GISP2
<inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> requires some considerations. Large-scale climate shifts may not
be manifested in a similar way in different proxies. In fact, our <inline-formula><mml:math id="M129" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula>
record integrates a number of processes, such as sediment grain size,
composition, transport, and deposition at the coring site. By contrast, GISP
<inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is responsive to changes in Greenland air temperature. Therefore,
the two parameters likely do not scale in a linear fashion, and a perfect
match should not be expected. Nonetheless, the degree of correlation between
the marine and ice-core data – especially during deglaciation and MIS 2 – is
surprisingly well defined and overall compelling.<?xmltex \hack{\newpage}?></p>
      <p id="d1e2329">The results show that 31-PC features relatively linear sedimentation rates
with a mean of <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">41</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) cm kyr<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, with the
exception of the last <inline-formula><mml:math id="M134" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 9 kyr where sedimentation rates are
slightly lower (<inline-formula><mml:math id="M135" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 15 cm kyr<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) (Fig. 3). This is in line with
the expected decrease in depositional rate resulting from post-glacial
transgression of the Siberian shelves (Bauch et al., 2001; Tesi et
al., 2016).</p>
      <p id="d1e2395">The mean 99 % posterior credible interval for our age model is
<inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>±</mml:mo></mml:mrow></mml:math></inline-formula>1.46 kyr (Fig. 3). Mean uncertainties are larger
during the Holocene (<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>±</mml:mo></mml:mrow></mml:math></inline-formula>1.85 kyr). The larger age
error reflects on one hand the absence of radiocarbon-based age constraints
in the upper 1.4 m and on the other hand the lack of structure in the
<inline-formula><mml:math id="M139" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> and GISP2 <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> data during the Holocene, which makes the match
statistically less robust (Fig. 3).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Implications of the new age model</title>
      <p id="d1e2446">The implications of these findings are critical for reconstructing and
understanding the oceanographic and sea-ice history along the Siberian
Arctic shelf. Our new age model also indicates that the entire sedimentary
sequence recovered in PS2767-4 was deposited during MIS 2 and the Holocene.
Previous studies had speculated that high-frequency variability in
biomarkers seen below 450 cm core depth may reflect millennial-scale climate
fluctuations during MIS 3 (Fahl and Stein, 2012). The later part
of MIS 3 has always been regarded as a time of anomalous warmth in the
Arctic, with central Arctic sediments younger than 40–50 kyr usually
containing little ice-rafted debris and high numbers of calcareous
microfossils (Hanslik et
al., 2010; Nørgaard-Pedersen et al., 1998; Poore et al., 1999). However,
given the updated chronology, no insights into environmental conditions
during MIS 3 can be made from these sedimentary records. What they do
provide instead are relatively high-resolution records of environmental
conditions during MIS 2 and the deglaciation.</p>
      <p id="d1e2449">The revised age model reveals substantially faster sedimentation rates
during the Last Glacial Maximum (LGM)/MIS 2 and deglaciation compared to the previous chronology
(Fig. 4), with a mean sedimentation rates of <inline-formula><mml:math id="M141" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 24 cm kyr<inline-formula><mml:math id="M142" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.
These are in stark contrast to the LGM hiatus observed in many sediment
cores from the western Arctic Ocean, notably on the Mendeleev Ridge, and
even a few in the central Arctic on the Lomonosov Ridge (Jakobsson
et al., 2014; Poirier et al., 2013; Polyak et al., 2009). This break in
sedimentation captured in multiple cores and extending between 13 and 20 <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> kyr has been associated with<?pagebreak page88?> the development of a thick, coherent perennial sea ice cover, possibly even the growth of paleocrystic sea ice or
an ice shelf (Polyak et al., 2009). The
rapid sedimentation rates found on the southern Lomonosov Ridge off Siberia
indicate a profoundly different depositional environment with strong
sediment supply, and they are more similar to MIS 2 sedimentation rates reported
along the Eurasian continental margin and northern Greenland margins (Jakobsson et al.,
2014; Nørgaard-Pedersen et al., 2003).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e2485">Cross-plot showing the TOC-normalized concentration of IP<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">25</mml:mn></mml:msub></mml:math></inline-formula>
and phytoplankton biomarkers (i.e., brassicasterol) in core PS2767-4 (Xiao et al., 2015) according to
the revised chronology presented in this study. The different spring–summer
sea-ice conditions are also shown.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gchron.copernicus.org/articles/2/81/2020/gchron-2-81-2020-f05.png"/>

        </fig>

      <p id="d1e2504">Direct insights into sea-ice conditions are made by re-evaluating published
semi-quantitative biomarker-based sea-ice proxy from PS2767-4
(P<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mtext>B</mml:mtext></mml:msub></mml:math></inline-formula>IP<inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">25</mml:mn></mml:msub></mml:math></inline-formula>) (Fahl and Stein, 2012). These data were
incorporated into spatial biomarker-based reconstructions of Arctic sea ice
conditions during the LGM (Xiao
et al., 2015) and require a re-assessment given our new chronology. In
general, the new chronology indicates for more variable, but more extensive
than present day, sea-ice cover during the early LGM/MIS 2 (rather than
during the later part of MIS 3). The later part of deglaciation (rather
than LGM/MIS 2) featured increasing sea-ice growth with permanent sea ice
throughout the year. Decreased sea-ice cover occurred around the transition
between deglaciation and the Holocene (rather than during deglaciation)
(Fig. 4).</p>
      <p id="d1e2525">These trends can be further illustrated by cross-plotting the IP<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">25</mml:mn></mml:msub></mml:math></inline-formula> and
brassicasterol data, using the same limits for ice extent defined by Xiao et
al. (2015) (Fig. 5). In this scenario, the absence of both IP<inline-formula><mml:math id="M148" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">25</mml:mn></mml:msub></mml:math></inline-formula>
(sea-ice diatom biomarker) and brassicasterol (open-water phytoplankton
biomarker) indicates extensive permanent sea-ice or shelf ice conditions,
and higher levels of IP<inline-formula><mml:math id="M149" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">25</mml:mn></mml:msub></mml:math></inline-formula> and brassicasterol indicate more productive
ice marginal settings (Müller
et al., 2011; Stein et al., 2012). According to our new chronology, there is
a clear change from permanent and extended ice cover through most of
LGM/MIS 2 and deglaciation towards a more marginal ice-edge setting during
the Holocene. Notably, permanent and less scattered sea-ice conditions
existed across the deglaciation, which is consistent with the development of
thick sea ice postulated for the Younger Dryas stadial (Bradley and England, 2008).</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e2564">We present a new chronostratigraphy from the Asian end of the Lomonosov
Ridge spanning the last <inline-formula><mml:math id="M150" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 kyr using a combination of bulk
radiocarbon dating and stratigraphic correlation to Greenland ice-core
records. The alignment was obtained using a novel probabilistic
stratigraphic alignment algorithm. The algorithm simulates correlations of
marine and ice-core proxy records that are consistent with the observed
changes in sedimentation rates obtained from independent radiocarbon dates,
and it ultimately yields uncertainty bands associated with the alignment
process.</p>
      <p id="d1e2574">Stratigraphic comparison with a nearby record constrained by a composite
regional age model highlights substantial chronological shortcomings in this
region prior to <inline-formula><mml:math id="M151" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14 kyr BP. We identified a linearly
increasing age offset that builds up to <inline-formula><mml:math id="M152" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 40 kyr at the
beginning of LGM/MIS 2 and that questions previous attributions of
paleoceanographic events from MIS 3 to the early deglaciation. Specifically,
our results allowed us to partly re-interpret the sequence of events
observed in a recent sea-ice proxy reconstruction from the central Arctic
Ocean (Xiao et al., 2015).</p>
      <p id="d1e2591">Our new chronostratigraphy constitutes an important regional benchmark that
helps revise the paleoceanographic time line of the central Arctic from MIS 2
to 1, and it can serve as a template for future correlations of regional
sediment sequences with poor independent age control.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e2599">The source data underlying Fig. 2 (porosity, bulk
density, grain size, magnetic susceptibility, and total organic carbon
content) and Fig. 3 (age model and inferred uncertainties) are provided as
Supplement files with the online version of this article on the
publisher's website and via the Bolin Centre Database (<uri>https://bolin.su.se/data/muschitiello-2020</uri>, last access: 20 April 2020, Muschitiello et al., 2020).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e2605">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/gchron-2-81-2020-supplement" xlink:title="pdf">https://doi.org/10.5194/gchron-2-81-2020-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e2614">FM and MO initiated the study and wrote the manuscript.
FM designed the Bayesian probabilistic alignment method and constructed the
chronology of core SWERUS-C3-31-PC. JM performed the TOC analysis and did
the sampling for <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C<?pagebreak page89?></mml:mi></mml:mrow></mml:math></inline-formula> dating. GW performed the physical properties
analyses with assistance from MO. ÖG and MJ participated in the
interpretation of the results. All authors were involved in editing the
manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e2632">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2638">We thank the supporting crew and captain of IB <italic>Oden</italic> and the support of the Swedish Polar Research Secretariat during the SWERUS-C3 expedition.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e2646">This research and the expedition were supported by the Knut and Alice Wallenberg Foundation (KAW) and by Swedish Research Council (VR) awards to Matt O'Regan, Martin Jakobsson, and Örjan Gustafsson (grant no. DNR-2017-01601 and grant no. DNR-2016-05092).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e2652">This paper was edited by Richard Staff and reviewed by two anonymous referees.</p>
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Lomonosov Ridge and the Siberian margin, spanning the last  ∼ &thinsp;30&thinsp;kyr. The chronology was derived using a combination of bulk <sup>14</sup>C dating and stratigraphic correlation to Greenland ice-core records. This was
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linearly increase up to  ∼ &thinsp;40&thinsp;kyr near the onset of Marine
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