Braun, J.: Pecube: A New Finite-Element Code to Solve the 3D Heat Transport Equation Including the Effects of a Time-Varying, Finite Amplitude Surface Topography, Comput. Geosci-UK, 29, 787–794, 2003.
a,
b
Braun, J., van der Beek, P., Valla, P. G., Robert, X., Herman, F., Glotzbach, C., Pedersen, V., Perry, C., Simon-Labric, T., and Prigent, C.: Quantifying Rates of Landscape Evolution and Tectonic Processes by Thermochronology and Numerical Modeling of Crustal Heat Transport Using PECUBE, Tectonophysics, 524–525, 1–28, 2012.
a,
b,
c,
d
Cooper, F. J., Adams, B. A., Dahlström, S. I. R., Ehlers, T. A., van Soest, M. C., Hodges, K. V., Jicha, B. R., Singer, B. S., Yañez, J. C., and Perkins, R. J.: Reassessing Long-Term Exhumation Rates in Magmatic Terranes, Earth Planet. Sc. Lett., 691, 120217,
https://doi.org/10.1016/j.epsl.2026.120217, 2026.
a
Dodson, M. H.: Closure Temperature in Cooling Geochronological and Petrological Systems, Contrib. Mineral. Petr., 40, 259–274, 1973. a
Ehlers, T. A.: Crustal Thermal Processes and the Interpretation of Thermochronometer Data, in: Low-Temperature Thermochronology: Techniques, Interpretations and Applications, Mineralogical Society of America, 315–350,
https://doi.org/10.2138/rmg.2005.58.12, 2005.
a,
b
Falkowski, S., Ehlers, T. A., McQuarrie, N., Glover, C. O., Perez, N. D., and Buford Parks, V. M.: Exhumation and Incision of the Eastern Central Andes, Southern Peru: Low-temperature Thermochronology Observations, Earth Planet. Sc. Lett., 620, 118299,
https://doi.org/10.1016/j.epsl.2023.118299, 2023.
a,
b,
c,
d,
e
Flowers, R. M., Ketcham, R. A., Shuster, D. L., and Farley, K. A.: Apatite (U-Th)/He Thermochronometry Using a Radiation Damage Accumulation and Annealing Model, Geochim. Cosmochim. Ac., 73, 2347–2365, 2009.
a,
b
Foreman-Mackey, D., Hogg, D. W., Lang, D., and Goodman, J.: Emcee: The MCMC Hammer, Publ. Astron. Soc. Pac., 125, 306,
https://doi.org/10.1086/670067, 2013.
a,
b
Fox, M., Herman, F., Willett, S. D., and May, D. A.: A linear inversion method to infer exhumation rates in space and time from thermochronometric data, Earth Surf. Dynam., 2, 47–65,
https://doi.org/10.5194/esurf-2-47-2014, 2014.
a,
b
Gautheron, C., Hueck, M., Ternois, S., Heller, B., Schwartz, S., Sarda, P., and Tassan-Got, L.: Investigating the Shallow to Mid-Depth (
>100–300 °C) Continental Crust Evolution with (U-Th)
He Thermochronology: A Review, Minerals, 12, 563,
https://doi.org/10.3390/min12050563, 2022.
a
Gérard, B., Robert, X., Audin, L., Valla, P. G., Bernet, M., and Gautheron, C.: Differential Exhumation of the Eastern Cordillera in the Central Andes: Evidence for South-Verging Backthrusting (Abancay Deflection, Peru), Tectonics, 40, e2020TC006314,
https://doi.org/10.1029/2020TC006314, 2021.
a
Gerya, T. V.: Introduction to Numerical Geodynamic Modelling, 1 edn., Cambridge University Press, Cambridge, ISBN 9780511763984, 2010. a
Glotzbach, C., Spiegel, C., Reinecker, J., Rahn, M., and Frisch, W.: What Perturbs Isotherms? An Assessment Using Fission-Track Thermochronology and Thermal Modelling along the Gotthard Transect, Central Alps, Geol. Soc. Sp., 324, 111–124,
https://doi.org/10.1144/SP324.9, 2009.
a
Guenthner, W. R., Reiners, P. W., Ketcham, R. A., Nasdala, L., and Giester, G.: Helium Diffusion in Natural Zircon: Radiation Damage, Anisotropy, and the Interpretation of Zircon (U–Th)
He Thermochronology, Am. J. Sci., 313, 145–198,
https://doi.org/10.2475/03.2013.01, 2013.
a,
b
Keller, C. B., McDannell, K. T., Guenthner, W. R., and Shuster, D. L.: Thermochron.Jl: Open-source Time-Temperature Inversion of Thermochronometric Data,
https://doi.org/10.17605/osf.io/wq2U5, 2022.
a
Ketcham, R. A.: Forward and Inverse Modeling of Low-Temperature Thermochronometry Data, in: Low-Temperature Thermochronology: Techniques, Interpretations and Applications, Mineralogical Society of America, 275–314,
https://doi.org/10.2138/rmg.2005.58.11, 2005.
a,
b
Ketcham, R. A., Donelick, R. A., and Carlson, W. D.: Variability of Apatite Fission-Track Annealing Kinetics; III, Extrapolation to Geological Time Scales, Am. Mineral., 84, 1235–1255, 1999.
a,
b
Ketcham, R. A., Mora, A., and Parra, M.: Deciphering Exhumation and Burial History with Multi-Sample down-Well Thermochronometric Inverse Modelling, Basin Res., 30, 48–64,
https://doi.org/10.1111/bre.12207, 2018.
a
Laslett, G. M., Green, P. F., Duddy, I. R., and Gleadow, A. J. W.: Thermal Annealing of Fission Tracks in Apatite, Chemical Geology, Isotope Geoscience Section, 65, 1–13, 1987. a
Malusà, M. G. and Fitzgerald, P. G.: From Cooling to Exhumation: Setting the Reference Frame for the Interpretation of Thermochronologic Data, in: Fission-Track Thermochronology and Its Application to Geology, edited by: Malusà, M. G. and Fitzgerald, P. G., Springer International Publishing, Cham, 147–164,
https://doi.org/10.1007/978-3-319-89421-8_8, 2019.
a
Murray, K. E., Goddard, A. L. S., Abbey, A. L., and Wildman, M.: Thermal History Modeling Techniques and Interpretation Strategies: Applications Using HeFTy, Geosphere, 18, 1622–1642,
https://doi.org/10.1130/GES02500.1, 2022.
a
Nguyen, H. H., Carter, A., Hoang, L. V., Fox, M., Pham, S. N., and Vinh, H. B.: Evolution of the Continental Margin of South to Central Vietnam and Its Relationship to Opening of the South China Sea (East Vietnam Sea), Tectonics, 41, e2021TC006971,
https://doi.org/10.1029/2021TC006971, 2022.
a
Oxburgh, E. R. and Turcotte, D. L.: Thermal Gradients and Regional Metamorphism in Overthrust Terrains with Special Reference to the Eastern Alps, Schweiz. Miner. Petrogr., 54,
https://doi.org/10.5169/seals-42213, 1974.
a
Rahn, M. K., Brandon, M. T., Batt, G. E., and Garver, J. I.: A Zero-Damage Model for Fission-Track Annealing in Zircon, Am. Mineral., 89, 473–484,
https://doi.org/10.2138/am-2004-0401, 2004.
a
Reiners, P. W., Ehlers, T. A., and Zeitler, P. K.: Past, Present, and Future of Thermochronology, in: Low-Temperature Thermochronology: Techniques, Interpretations and Applications, Mineralogical Society of America, 1–18,
https://doi.org/10.2138/rmg.2005.58.1, 2005.
a
Sambridge, M.: Geophysical Inversion with a Neighbourhood Algorithm-II. Appraising the Ensemble, Geophys. J. Int., 138, 727–746, 1999a.
a,
b
Sambridge, M.: Geophysical Inversion with a Neighbourhood Algorithm-I. Searching a Parameter Space, Geophys. J. Int., 138, 479–494, 1999b.
a,
b
Stüwe, K., White, L., and Brown, R.: The Influence of Eroding Topography on Steady-State Isotherms; Application to Fission Track Analysis, Earth Planet. Sc. Lett., 124, 63–74, 1994. a
Tagami, T., Galbraith, R. F., Yamada, R., and Laslett, G. M.: Revised Annealing Kinetics of Fission Tracks in Zircon and Geological Implications, in: Advances in Fission-Track Geochronology: A Selection of Papers Presented at the International Workshop on Fission-Track Dating, Ghent, Belgium, 1996, edited by: van den Haute, P. and de Corte, F., Springer Netherlands, Dordrecht, 99–112,
https://doi.org/10.1007/978-94-015-9133-1_8, 1998.
a
van der Beek, P.: Tectonic Evolution of Continental Rifts. Inference from Numerical Modelling and Fission Track Thermochronology, PhD thesis, Vrije Universiteit, Amsterdam, ISBN 9789090080765, 1995.
a,
b,
c
van der Beek, P. and Schildgen, T. F.: Short communication:
age2exhume – a MATLAB/Python script to calculate steady-state vertical exhumation rates from thermochronometric ages and application to the Himalaya, Geochronology, 5, 35–49,
https://doi.org/10.5194/gchron-5-35-2023, 2023.
a
Whipp, D.: Documentation for
Tc1D,
https://tc1d.readthedocs.io/en/latest/ (last access: 30 April 2026), 2025. a
Whipp, D.: Supplementary files for manuscript “Technical note: Tc1D - a 1D thermal and thermochronometer age prediction model”, by Whipp et al., Version 1, University of Helsinki, Matemaattis-luonnontieteellinen tiedekunta [data set],
https://doi.org/10.23729/fd-3d8e5010-28f8-3609-9df7-397924d18710 (last access: 7 October 2026), 2026.
a
Whipp, D., Gerard, B., Laaksonen, S., and Taivalsaari, E.: HUGG/Tc1D: v0.4.0 (Version v0.4.0), Zenodo [software],
https://doi.org/10.5281/zenodo.19631316, 2026.
a
