Articles | Volume 12, issue 2
https://doi.org/10.5194/esurf-12-477-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/esurf-12-477-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
An efficient approach for inverting rock exhumation from thermochronologic age–elevation relationship
Yuntao Tian
CORRESPONDING AUTHOR
Guangdong Provincial Key Laboratory of Geodynamics and Geohazards, School of Earth Sciences and Engineering, Sun Yat-sen University, Guangzhou 510275, China
Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Zhuhai 519082, China
Lili Pan
Guangdong Provincial Key Laboratory of Geodynamics and Geohazards, School of Earth Sciences and Engineering, Sun Yat-sen University, Guangzhou 510275, China
Guihong Zhang
Guangdong Provincial Key Laboratory of Geodynamics and Geohazards, School of Earth Sciences and Engineering, Sun Yat-sen University, Guangzhou 510275, China
Xinbo Yao
Guangdong Provincial Key Laboratory of Geodynamics and Geohazards, School of Earth Sciences and Engineering, Sun Yat-sen University, Guangzhou 510275, China
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Pieter Vermeesch, Yuntao Tian, Jae Schwanethal, and Yannick Buret
Geochronology, 5, 323–332, https://doi.org/10.5194/gchron-5-323-2023, https://doi.org/10.5194/gchron-5-323-2023, 2023
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The U–Th–He method is a technique to determine the cooling history of minerals. Traditional approaches to U–Th–He dating are time-consuming and require handling strong acids and radioactive solutions. This paper presents an alternative approach in which samples are irradiated with protons and subsequently analysed by laser ablation mass spectrometry. Unlike previous in situ U–Th–He dating attempts, the new method does not require any absolute concentration measurements of U, Th, or He.
Pieter Vermeesch, Yuntao Tian, Jae Schwanethal, and Yannick Buret
Geochronology, 5, 323–332, https://doi.org/10.5194/gchron-5-323-2023, https://doi.org/10.5194/gchron-5-323-2023, 2023
Short summary
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The U–Th–He method is a technique to determine the cooling history of minerals. Traditional approaches to U–Th–He dating are time-consuming and require handling strong acids and radioactive solutions. This paper presents an alternative approach in which samples are irradiated with protons and subsequently analysed by laser ablation mass spectrometry. Unlike previous in situ U–Th–He dating attempts, the new method does not require any absolute concentration measurements of U, Th, or He.
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Cross-cutting themes: establish timing and rates of Earth surface processes by applying geochronology
Cosmogenic nuclide-derived downcutting rates of canyons within large limestone plateaus of southern Massif Central (France) reveal a different regional speleogenesis of karst networks
Bias and error in modelling thermochronometric data: resolving a potential increase in Plio-Pleistocene erosion rate
Evaluating optically stimulated luminescence rock surface exposure dating as a novel approach for reconstructing coastal boulder movement on decadal to centennial timescales
Modelling the effects of ice transport and sediment sources on the form of detrital thermochronological age probability distributions from glacial settings
Holocene sea-level change on the central coast of Bohai Bay, China
The role of frost cracking in local denudation of steep Alpine rockwalls over millennia (Eiger, Switzerland)
Early-to-mid Miocene erosion rates inferred from pre-Dead Sea rift Hazeva River fluvial chert pebbles using cosmogenic 21Ne
Denudation systematics inferred from in situ cosmogenic 10Be concentrations in fine (50–100 µm) and medium (100–250 µm) sediments of the Var River basin, southern French Alps
Millennial-scale denudation rates in the Himalaya of Far Western Nepal
Inferring the timing of abandonment of aggraded alluvial surfaces dated with cosmogenic nuclides
Seeking enlightenment of fluvial sediment pathways by optically stimulated luminescence signal bleaching of river sediments and deltaic deposits
Cosmogenic 10Be in river sediment: where grain size matters and why
Dating and morpho-stratigraphy of uplifted marine terraces in the Makran subduction zone (Iran)
How steady are steady-state mountain belts? A reexamination of the Olympic Mountains (Washington state, USA)
Short communication: Increasing vertical attenuation length of cosmogenic nuclide production on steep slopes negates topographic shielding corrections for catchment erosion rates
Glacial dynamics in pre-Alpine narrow valleys during the Last Glacial Maximum inferred by lowland fluvial records (northeast Italy)
Reconstructing lateral migration rates in meandering systems – a novel Bayesian approach combining optically stimulated luminescence (OSL) dating and historical maps
Tectonic controls of Holocene erosion in a glaciated orogen
Extracting information on the spatial variability in erosion rate stored in detrital cooling age distributions in river sands
U–Th and 10Be constraints on sediment recycling in proglacial settings, Lago Buenos Aires, Patagonia
Influence of topography and human activity on apparent in situ 10Be-derived erosion rates in Yunnan, SW China
The CAIRN method: automated, reproducible calculation of catchment-averaged denudation rates from cosmogenic nuclide concentrations
Denudation rates across the Pamir based on 10Be concentrations in fluvial sediments: dominance of topographic over climatic factors
Tectonic and climatic controls on the Chuquibamba landslide (western Andes, southern Peru)
Re-evaluating luminescence burial doses and bleaching of fluvial deposits using Bayesian computational statistics
A linear inversion method to infer exhumation rates in space and time from thermochronometric data
Oswald Malcles, Philippe Vernant, David Fink, Gaël Cazes, Jean-François Ritz, Toshiyuki Fujioka, and Jean Chéry
Earth Surf. Dynam., 12, 679–690, https://doi.org/10.5194/esurf-12-679-2024, https://doi.org/10.5194/esurf-12-679-2024, 2024
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In the Grands Causses area (Southern France), we study the relationship between the evolution of the river, its incision through time, and the location of the nearby caves. It is commonly accepted that horizontal caves are formed during a period of river stability (no incision) at the elevation of the river. Our original results show that it is wrong in our case study. Therefore, another model of cave formation is proposed that does not rely on direct river control over cave locations.
Sean D. Willett, Frédéric Herman, Matthew Fox, Nadja Stalder, Todd A. Ehlers, Ruohong Jiao, and Rong Yang
Earth Surf. Dynam., 9, 1153–1221, https://doi.org/10.5194/esurf-9-1153-2021, https://doi.org/10.5194/esurf-9-1153-2021, 2021
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The cooling climate of the last few million years leading into the ice ages has been linked to increasing erosion rates by glaciers. One of the ways to measure this is through mineral cooling ages. In this paper, we investigate potential bias in these data and the methods used to analyse them. We find that the data are not themselves biased but that appropriate methods must be used. Past studies have used appropriate methods and are sound in methodology.
Dominik Brill, Simon Matthias May, Nadia Mhammdi, Georgina King, Benjamin Lehmann, Christoph Burow, Dennis Wolf, Anja Zander, and Helmut Brückner
Earth Surf. Dynam., 9, 205–234, https://doi.org/10.5194/esurf-9-205-2021, https://doi.org/10.5194/esurf-9-205-2021, 2021
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Wave-transported boulders are important records for storm and tsunami impact over geological timescales. Their use for hazard assessment requires chronological information. We investigated the potential of a new dating technique, luminescence rock surface exposure dating, for estimating transport ages of wave-emplaced boulders. Our results indicate that the new approach may provide chronological information on decadal to millennial timescales for boulders not datable by any other method so far.
Maxime Bernard, Philippe Steer, Kerry Gallagher, and David Lundbek Egholm
Earth Surf. Dynam., 8, 931–953, https://doi.org/10.5194/esurf-8-931-2020, https://doi.org/10.5194/esurf-8-931-2020, 2020
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Detrital thermochronometric age distributions of frontal moraines have the potential to retrieve ice erosion patterns. However, modelling erosion and sediment transport by the Tiedemann Glacier ice shows that ice velocity, the source of sediment, and ice flow patterns affect age distribution shape by delaying sediment transfer. Local sampling of frontal moraine can represent only a limited part of the catchment area and thus lead to a biased estimation of the spatial distribution of erosion.
Fu Wang, Yongqiang Zong, Barbara Mauz, Jianfen Li, Jing Fang, Lizhu Tian, Yongsheng Chen, Zhiwen Shang, Xingyu Jiang, Giorgio Spada, and Daniele Melini
Earth Surf. Dynam., 8, 679–693, https://doi.org/10.5194/esurf-8-679-2020, https://doi.org/10.5194/esurf-8-679-2020, 2020
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Our new Holocene sea level curve is not only different to previously published data but also different to global glacio-isostatic adjustment (GIA) models. We see that as soon as ice melting has ceased, local processes control shoreline migration and coast evolution. This indicates that more emphasis should be placed on regional coast and sea-level change modelling under a global future of rising sea level as local government needs more specific and effective advice to deal with coastal flooding.
David Mair, Alessandro Lechmann, Romain Delunel, Serdar Yeşilyurt, Dmitry Tikhomirov, Christof Vockenhuber, Marcus Christl, Naki Akçar, and Fritz Schlunegger
Earth Surf. Dynam., 8, 637–659, https://doi.org/10.5194/esurf-8-637-2020, https://doi.org/10.5194/esurf-8-637-2020, 2020
Michal Ben-Israel, Ari Matmon, Alan J. Hidy, Yoav Avni, and Greg Balco
Earth Surf. Dynam., 8, 289–301, https://doi.org/10.5194/esurf-8-289-2020, https://doi.org/10.5194/esurf-8-289-2020, 2020
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Early-to-mid Miocene erosion rates were inferred using cosmogenic 21Ne measured in chert pebbles transported by the Miocene Hazeva River (~ 18 Ma). Miocene erosion rates are faster compared to Quaternary rates in the region. Faster Miocene erosion rates could be due to a response to topographic changes brought on by tectonic uplift, wetter climate in the region during the Miocene, or a combination of both.
Apolline Mariotti, Pierre-Henri Blard, Julien Charreau, Carole Petit, Stéphane Molliex, and the ASTER Team
Earth Surf. Dynam., 7, 1059–1074, https://doi.org/10.5194/esurf-7-1059-2019, https://doi.org/10.5194/esurf-7-1059-2019, 2019
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This work is the first assessment of the suitability of the in situ 10Be method to determine denudation rates from fine (50–100 μm) detrital quartz at the watershed scale. This method is used worldwide to determine denudation rates from sandy sediments (250 μm-1 mm). We show that in the Var catchment fine-grained sediments (50–100 μm) are suited to the 10Be method, which is vital for future applications of 10Be in sedimentary archives such as offshore sediments.
Lujendra Ojha, Ken L. Ferrier, and Tank Ojha
Earth Surf. Dynam., 7, 969–987, https://doi.org/10.5194/esurf-7-969-2019, https://doi.org/10.5194/esurf-7-969-2019, 2019
Mitch K. D'Arcy, Taylor F. Schildgen, Jens M. Turowski, and Pedro DiNezio
Earth Surf. Dynam., 7, 755–771, https://doi.org/10.5194/esurf-7-755-2019, https://doi.org/10.5194/esurf-7-755-2019, 2019
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The age of formation of sedimentary deposits is often interpreted to record information about past environmental changes. Here, we show that the timing of abandonment of surfaces also provides valuable information. We derive a new set of equations that can be used to estimate when a sedimentary surface was abandoned based on what is known about its activity from surface dating. Estimates of abandonment age can benefit a variety of geomorphic analyses, which we illustrate with a case study.
Elizabeth L. Chamberlain and Jakob Wallinga
Earth Surf. Dynam., 7, 723–736, https://doi.org/10.5194/esurf-7-723-2019, https://doi.org/10.5194/esurf-7-723-2019, 2019
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Sand and mud may take many different pathways within a river as they travel from inland to the coast. During the trip, grains may be exposed to daylight, resetting a signal trapped within certain minerals. The signal can be measured in a laboratory to estimate the time since last light exposure. Here, we measure the trapped signal of sand and mud grains from the Mississippi River and its banks. We use this information to infer sediment pathways. Such knowledge is useful for delta management.
Renee van Dongen, Dirk Scherler, Hella Wittmann, and Friedhelm von Blanckenburg
Earth Surf. Dynam., 7, 393–410, https://doi.org/10.5194/esurf-7-393-2019, https://doi.org/10.5194/esurf-7-393-2019, 2019
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The concentration of cosmogenic 10Be is typically measured in the sand fraction of river sediment to estimate catchment-average erosion rates. Using the sand fraction in catchments where the 10Be concentrations differ per grain size could potentially result in biased erosion rates. In this study we investigated the occurrence and causes of grain size-dependent 10Be concentrations and identified the types of catchments which are sensitive to biased catchment-average erosion rates.
Raphaël Normand, Guy Simpson, Frédéric Herman, Rabiul Haque Biswas, Abbas Bahroudi, and Bastian Schneider
Earth Surf. Dynam., 7, 321–344, https://doi.org/10.5194/esurf-7-321-2019, https://doi.org/10.5194/esurf-7-321-2019, 2019
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We studied and mapped uplifted marine terraces in southern Iran that are part of the Makran subduction zone. Our results show that most exposed terraces were formed in the last 35 000–250 000 years. Based on their altitude and the paleo sea-level, we derive surface uplift rates of 0.05–5 mm yr−1. The marine terraces, tilted with a short wavelength of 20–30 km, indicate a heterogeneous accumulation of deformation in the overriding plate.
Lorenz Michel, Christoph Glotzbach, Sarah Falkowski, Byron A. Adams, and Todd A. Ehlers
Earth Surf. Dynam., 7, 275–299, https://doi.org/10.5194/esurf-7-275-2019, https://doi.org/10.5194/esurf-7-275-2019, 2019
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Mountain-building processes are often investigated by assuming a steady state, meaning the balance between opposing forces, like mass influx and mass outflux. This work shows that the Olympic Mountains are in flux steady state on long timescales (i.e., 14 Myr), but the flux steady state could be disturbed on shorter timescales, especially by the Plio–Pleistocene glaciation. The contribution highlights the temporally nonsteady evolution of mountain ranges.
Roman A. DiBiase
Earth Surf. Dynam., 6, 923–931, https://doi.org/10.5194/esurf-6-923-2018, https://doi.org/10.5194/esurf-6-923-2018, 2018
Sandro Rossato, Anna Carraro, Giovanni Monegato, Paolo Mozzi, and Fabio Tateo
Earth Surf. Dynam., 6, 809–828, https://doi.org/10.5194/esurf-6-809-2018, https://doi.org/10.5194/esurf-6-809-2018, 2018
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Glaciations may induce significant changes in the catchments of major sedimentary systems over time, even during a single phase. The rugged morphology of Alpine valleys may slow, block or divert glacial tongues. This conclusion arises from reconstructions made regarding the dynamics of the Brenta glacial system (northeast Italy). These reconstructions included sediment analysis techniques on the related alluvial stratigraphic record and mapping of in-valley glacial/glaciofluvial remnants.
Cindy Quik and Jakob Wallinga
Earth Surf. Dynam., 6, 705–721, https://doi.org/10.5194/esurf-6-705-2018, https://doi.org/10.5194/esurf-6-705-2018, 2018
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Identifying contemporary river migration rates is often based on aerial photos or recent topographical maps. Here, we propose to use river sediments as an archive to look further back in time using optically stimulated luminescence (OSL) dating and develop a modelling procedure for the joint analysis of dating results and historical maps. The procedure is applied to the Overijsselse Vecht river in The Netherlands, and we show that the river migrated with 0.9–2.6 m yr−1 between 1400 and 1900 CE.
Byron A. Adams and Todd A. Ehlers
Earth Surf. Dynam., 6, 595–610, https://doi.org/10.5194/esurf-6-595-2018, https://doi.org/10.5194/esurf-6-595-2018, 2018
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Where alpine glaciers were active in the past, they have created scenic landscapes that are likely in the process of morphing back into a form that it more stable with today's climate regime and tectonic forces. By looking at older erosion rates from before the time of large alpine glaciers and erosion rates since deglaciation in the Olympic Mountains (USA), we find that the topography and erosion rates have not drastically changed despite the impressive glacial valleys that have been carved.
Jean Braun, Lorenzo Gemignani, and Peter van der Beek
Earth Surf. Dynam., 6, 257–270, https://doi.org/10.5194/esurf-6-257-2018, https://doi.org/10.5194/esurf-6-257-2018, 2018
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We present a new method to interpret a type of data that geologists obtained by dating minerals in river sand samples. We show that such data contain information about the spatial distribution of the erosion rate (wear of surface rocks by natural processes such as river incision, land sliding or weathering) in the regions neighboring the river. This is important to understand the nature and efficiency of the processes responsible for surface erosion in mountain belts.
Antoine Cogez, Frédéric Herman, Éric Pelt, Thierry Reuschlé, Gilles Morvan, Christopher M. Darvill, Kevin P. Norton, Marcus Christl, Lena Märki, and François Chabaux
Earth Surf. Dynam., 6, 121–140, https://doi.org/10.5194/esurf-6-121-2018, https://doi.org/10.5194/esurf-6-121-2018, 2018
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Sediments produced by glaciers are transported by rivers and wind toward the ocean. During their journey, these sediments are weathered, and we know that this has an impact on climate. One key factor is time, but the duration of this journey is largely unknown. We were able to measure the average time that sediment spends only in the glacial area. This time is 100–200 kyr, which is long and allows a lot of processes to act on sediments during their journey.
Amanda H. Schmidt, Thomas B. Neilson, Paul R. Bierman, Dylan H. Rood, William B. Ouimet, and Veronica Sosa Gonzalez
Earth Surf. Dynam., 4, 819–830, https://doi.org/10.5194/esurf-4-819-2016, https://doi.org/10.5194/esurf-4-819-2016, 2016
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In order to test the assumption that erosion rates derived from Be-10 are not affected by increases in erosion due to contemporary agricultural land use, we measured erosion rates in three tributaries of the Mekong River. We find that in the most heavily agricultural landscapes, the apparent long-term erosion rate correlates best with measures of modern land use, suggesting that agriculture has eroded below the mixed layer and is affecting apparent erosion rates derived from Be-10.
Simon Marius Mudd, Marie-Alice Harel, Martin D. Hurst, Stuart W. D. Grieve, and Shasta M. Marrero
Earth Surf. Dynam., 4, 655–674, https://doi.org/10.5194/esurf-4-655-2016, https://doi.org/10.5194/esurf-4-655-2016, 2016
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Cosmogenic nuclide concentrations are widely used to calculate catchment-averaged denudation rates. Despite their widespread use, there is currently no open source method for calculating such rates, and the methods used to calculate catchment-averaged denudation rates vary widely between studies. Here we present an automated, open-source method for calculating basin averaged denudation rates, which may be used as a stand-alone calculator or as a front end to popular online calculators.
M. C. Fuchs, R. Gloaguen, S. Merchel, E. Pohl, V. A. Sulaymonova, C. Andermann, and G. Rugel
Earth Surf. Dynam., 3, 423–439, https://doi.org/10.5194/esurf-3-423-2015, https://doi.org/10.5194/esurf-3-423-2015, 2015
A. Margirier, L. Audin, J. Carcaillet, S. Schwartz, and C. Benavente
Earth Surf. Dynam., 3, 281–289, https://doi.org/10.5194/esurf-3-281-2015, https://doi.org/10.5194/esurf-3-281-2015, 2015
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This study deals with the control of crustal tectonic activity and Altiplano climatic fluctuations in the evolution of the arid western Andes. Based on geomorphic analysis coupled with terrestrial cosmogenic nuclide investigation, we point out the role of active faulting and wet events in the development of the Chuquibamba landslide (southern Peru). Our main outcome is that the last major debris flow coincides in time with the Ouki wet climatic event identified on the Altiplano.
A. C. Cunningham, J. Wallinga, N. Hobo, A. J. Versendaal, B. Makaske, and H. Middelkoop
Earth Surf. Dynam., 3, 55–65, https://doi.org/10.5194/esurf-3-55-2015, https://doi.org/10.5194/esurf-3-55-2015, 2015
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Rivers transport sediment from mountains to coast, but on the way sediment is trapped and re-eroded multiple times. We looked at Rhine river sediments to see if they preserve evidence of how geomorphic variables have changed over time. We found that measured signals potentially relate to water level and river management practices. These relationships can be treated as hypotheses to guide further research, and our statistical approach will increase the utility of research in this field.
M. Fox, F. Herman, S. D. Willett, and D. A. May
Earth Surf. Dynam., 2, 47–65, https://doi.org/10.5194/esurf-2-47-2014, https://doi.org/10.5194/esurf-2-47-2014, 2014
Cited articles
Anderson, J. L., Barth, A. P., Wooden, J. L., and Mazdab, F.: Thermometers and Thermobarometers in Granitic Systems, Rev. Mineral. Geochem., 69, 121–142, https://doi.org/10.2138/rmg.2008.69.4, 2008.
Armstrong, P. A.: Thermochronometers in Sedimentary Basins, Rev. Mineral. Geochem., 58, 499–525, https://doi.org/10.2138/rmg.2005.58.19, 2005.
Ault, A. K., Gautheron, C., and King, G. E.: Innovations in , Fission Track, and Trapped Charge Thermochronometry with Applications to Earthquakes, Weathering, Surface-Mantle Connections, and the Growth and Decay of Mountains, Tectonics, 38, 3705–3739, https://doi.org/10.1029/2018TC005312, 2019.
Batt, G. E. and Brandon, M. T.: Lateral thinking: 2-D interpretation of thermochronology in convergent orogenic settings, Tectonophysics, 349, 185–201, 2002.
Brandon, M. T., Roden-Tice, M. K., and Garver, J. I.: Late Cenozoic exhumation of the Cascadia accretionary wedge in the Olympic Mountains, Northwest Washington State, Bull. Geol. Soc. Am., 110, 985–1009, 1998.
Braun, J.: Quantifying the effect of recent relief changes on age-elevation relationships, Earth Planet. Sc. Lett., 200, 331–343, 2002.
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., 29, 787–794, 2003.
Braun, J., van der Beek, P., Valla, P., 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, https://doi.org/10.1016/j.tecto.2011.12.035, 2012.
Burbank, D. W., Blythe, A. E., Putkonen, J., Pratt-Sitaula, B., Gabet, E., Oskin, M., Barros, A., and Ojha, T. P.: Decoupling of erosion and precipitation in the Himalayas, Nature, 426, 652–655, 2003.
Clauser, C., Giese, P., Huenges, E., Kohl, T., Lehmann, H., Rybach, L., Šafanda, J., Wilhelm, H., Windloff, K., and Zoth, G.: The thermal regime of the crystalline continental crust: Implications from the KTB, J. Geophys. Res.-Sol. Ea., 102, 18417–18441, https://doi.org/10.1029/96JB03443, 1997.
Deeken, A., Thiede, R. C., Sobel, E. R., Hourigan, J. K., and Strecker, M. R.: Exhumational variability within the Himalaya of northwest India, Earth Planet. Sc. Lett., 305, 103–114, https://doi.org/10.1016/j.epsl.2011.02.045, 2011.
Dodson, M. H.: Closure temperature in cooling geochronological and petrological systems, Contrib. Mineral. Petr., 40, 259–274, 1973.
Ehlers, T. A.: Crustal Thermal Processes and the Interpretation of Thermochronometer Data, Rev. Mineral. Geochem., 58, 315–350, https://doi.org/10.2138/rmg.2005.58.12, 2005.
Ehlers, T. A. and Farley, K. A.: Apatite thermochronometry: methods and applications to problems in tectonic and surface processes, Earth Planet. Sc. Lett., 206, 1–14, 2003.
Fitzgerald, P. G., Sandiford, M., Barrett, P. J., and Gleadow, A. J. W.: Asymmetric extension associated with uplift and subsidence in the Transantarctic Mountains and Ross Embayment, Earth Planet. Sc. Lett., 81, 67–78, https://doi.org/10.1016/0012-821X(86)90101-9, 1986.
Fitzgerald, P. G., Sorkhabi, R. B., Redfield, T. F., and Stump, E.: Uplift and denudation of the central Alaska Range: A case study in the use of apatite fission track thermochronology to determine absolute uplift parameters, J. Geophys. Res.-Sol. Ea., 100, 20175–20191, https://doi.org/10.1029/95JB02150, 1995.
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.
Fox, M., Herman, F., Kissling, E., and Willett, S. D.: Rapid exhumation in the Western Alps driven by slab detachment and glacial erosion, Geology, 43, 379–382, 2015.
Gallagher, K.: Transdimensional inverse thermal history modelling for quantitative thermochronology, J. Geophys. Res., 117, B02408, https://doi.org/10.1029/2011JB008825, 2012.
Glotzbach, C., Braun, J., and van der Beek, P.: A Fourier approach for estimating and correcting the topographic perturbation of low-temperature thermochronological data, Tectonophysics, 649, 115–129, https://doi.org/10.1016/j.tecto.2015.03.005, 2015.
Herman, F., Seward, D., Valla, P. G., Carter, A., Kohn, B., Willett, S. D., and Ehlers, T. A.: Worldwide acceleration of mountain erosion under a cooling climate, Nature, 504, 423–426, 2013.
House, M. A., Wernicke, B. P., and Farley, K. A.: Paleo-geomorphology of the Sierra Nevada, California, from ages in apatite, Am. J. Sci., 301, 77–102, 2001.
Hu, S. B., Raza, A., Min, K., Kohn, B. P., Reiners, P. W., Ketcham, R. A., Wang, J. Y., and Gleadow, A. J. W.: Late Mesozoic and Cenozoic thermotectonic evolution along a transect from the north China craton through the Qinling orogen into the Yangtze craton, central China, Tectonics, 25, TC6009, https://doi.org/10.1029/2006TC001985, 2006.
Jiao, R., Herman, F., and Seward, D.: Late Cenozoic exhumation model of New Zealand: Impacts from tectonics and climate, Earth-Sci. Rev., 166, 286–298, https://doi.org/10.1016/j.earscirev.2017.01.003, 2017.
Ketcham, R. A.: Forward and Inverse Modeling of Low-Temperature Thermochronometry Data, Rev. Mineral. Geochem., 58, 275–314, https://doi.org/10.2138/rmg.2005.58.11, 2005.
Laslett, G., Green, P. F., Duddy, I., and Gleadow, A.: Thermal annealing of fission tracks in apatite 2. A quantitative analysis, Chem. Geol., 65, 1–13, 1987.
Mancktelow, N. S. and Grasemann, B.: Time-dependent effects of heat advection and topography on cooling histories during erosion, Tectonophysics, 270, 167–195, https://doi.org/10.1016/S0040-1951(96)00279-X, 1997.
McInnes, B. I. A., Evans, N. J., Fu, F. Q., and Garwin, S.: Application of Thermochronology to Hydrothermal Ore Deposits, Rev. Mineral. Geochem., 58, 467–498, https://doi.org/10.2138/rmg.2005.58.18, 2005.
Reiners, P. W. and Brandon, M. T.: Using thermochronology to understand orogenic erosion, Annu. Rev. Earth Pl. Sc., 34, 419–466, 2006.
Schildgen, T. F., van der Beek, P. A., Sinclair, H. D., and Thiede, R. C.: Spatial correlation bias in late-Cenozoic erosion histories derived from thermochronology, Nature, 559, 89–93, https://doi.org/10.1038/s41586-018-0260-6, 2018.
Stalder, N. F., Herman, F., Fellin, M. G., Coutand, I., Aguilar, G., Reiners, P. W., and Fox, M.: The relationships between tectonics, climate and exhumation in the Central Andes (18–36° S): Evidence from low-temperature thermochronology, Earth-Sci. Rev., 210, 103276, https://doi.org/10.1016/j.earscirev.2020.103276, 2020.
Stockli, D. F. and Farley, K. A.: Empirical constraints on the titanite partial retention zone from the KTB drill hole, Chem. Geol., 207, 223–236, https://doi.org/10.1016/j.chemgeo.2004.03.002, 2004.
Sutherland, R., Gurnis, M., Kamp, P. J. J., and House, M. A.: Regional exhumation history of brittle crust during subduction initiation, Fiordland, southwest New Zealand, and implications for thermochronologic sampling and analysis strategies, Geosphere, 5, 409–425, https://doi.org/10.1130/GES00225.1, 2009.
Tarantola, A.: Inverse Problem Theory and Methods for Model Parameter Estimation, SIAM, Philadelphia, https://doi.org/10.1137/1.9780898717921, 2005.
Thiede, R., Robert, X., Stübner, K., Dey, S., and Faruhn, J.: Sustained out-of-sequence shortening along a tectonically active segment of the Main Boundary thrust: The Dhauladhar Range in the northwestern Himalaya, Lithosphere, 9, 715–725, https://doi.org/10.1130/L630.1, 2017.
Tian, Y., Kohn, B. P., Hu, S., and Gleadow, A. J. W.: Synchronous fluvial response to surface uplift in the eastern Tibetan Plateau: Implications for crustal dynamics, Geophys. Res. Lett., 42, 29–35, https://doi.org/10.1002/2014GL062383, 2015.
Turcotte, D. and Schubert, G.: Geodynamics, Cambridge Univiversity Press, https://doi.org/10.1017/S0016756802217239, 2002.
Valla, P. G., van der Beek, P. A., and Braun, J.: Rethinking low-temperature thermochronology data sampling strategies for quantification of denudation and relief histories: A case study in the French western Alps, Earth Planet. Sc. Lett., 307, 309–322, https://doi.org/10.1016/j.epsl.2011.05.003, 2011.
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.
van der Beek, P. A., Valla, P. G., Herman, F., Braun, J., Persano, C., Dobson, K. J., and Labrin, E.: Inversion of thermochronological age-elevation profiles to extract independent estimates of denudation and relief history – II: Application to the French Western Alps, Earth Planet. Sc. Lett., 296, 9–22, https://doi.org/10.1016/j.epsl.2010.04.032, 2010.
Vermeesch, P.: IsoplotR: A free and open toolbox for geochronology, Geosci. Front., 9, 1479–1493, https://doi.org/10.1016/j.gsf.2018.04.001, 2018.
Wagner, G. A., Coyle, D. A., Duyster, J., Henjes-Kunst, F., Peterek, A., Schröder, B., Stöckhert, B., Wemmer, K., Zulauf, G., Ahrendt, H., Bischoff, R., Hejl, E., Jacobs, J., Menzel, D., Lal, N., Van den Haute, P., Vercoutere, C., and Welzel, B.: Post-Variscan thermal and tectonic evolution of the KTB site and its surroundings, J. Geophys. Res.-Sol. Ea., 102, 18221–18232, https://doi.org/10.1029/96JB02565, 1997.
Warnock, A. C. and Zeitler, P. K.: thermochronometry of K-feldspar from the KTB borehole, Germany, Earth Planet. Sc. Lett., 158, 67–79, https://doi.org/10.1016/S0012-821X(98)00044-2, 1998.
Whipp Jr., D. M., Ehlers, T. A., Blythe, A. E., Huntington, K. W., Hodges, K. V., and Burbank, D. W.: Plio-Quaternary exhumation history of the central Nepalese Himalaya: 2. Thermokinematic and thermochronometer age prediction model, Tectonics, 26, TC3003, https://doi.org/10.1029/2006tc001991, 2007.
Willett, S. D. and Brandon, M. T.: Some analytical methods for converting thermochronometric age to erosion rate, Geochem. Geophy. Geosy., 14, 209–222, https://doi.org/10.1029/2012gc004279, 2013.
Willett, S. D., Herman, F., Fox, M., Stalder, N., Ehlers, T. A., Jiao, R., and Yang, R.: Bias and error in modelling thermochronometric data: resolving a potential increase in Plio-Pleistocene erosion rate, Earth Surf. Dynam., 9, 1153–1221, https://doi.org/10.5194/esurf-9-1153-2021, 2021.
Tian, Y.: An Matlab application for inverting rock exhumation from thermochronologic age data, Zenodo [data set] and [code], https://doi.org/10.5281/zenodo.10839275, 2024.
Zeitler, P., Meltzer, A., Koons, P., Craw, D., Hallet, B., Chamberlain, C., Kidd, W., Park, S., Seeber, L., Bishop, M., and Shroder, J. F.: Erosion, Himalayan Geodynamics, and the Geomorphology of Metamorphism, GSA Today, 11, 4–9, https://doi.org/10.1130/1052-5173(2001)011<0004:EHGATG>2.0.CO;2, 2001.
Short summary
Rock exhumation from the Earth's interior to the surface is important information for better understanding many geological problems, ranging from mountain building and its decay to resource and hydrocarbon evaluation and exploration. We propose a new stepwise inverse modeling strategy for optimizing the model parameters to mitigate the model dependencies on the initial parameters that are required to simulate the rock exhumation processes.
Rock exhumation from the Earth's interior to the surface is important information for better...