Articles | Volume 13, issue 3
https://doi.org/10.5194/esurf-13-473-2025
© Author(s) 2025. 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-13-473-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Modeling active layer thickness in permafrost rock walls based on an analytical solution of the heat transport equation, Kitzsteinhorn, Hohe Tauern Range, Austria
Department of Applied Ecology, Geisenheim University, Von-Lade-Straße 1, 65366 Geisenheim, Germany
Section of Ecological Plant Protection, University of Kassel, Nordbahnhofstraße 1a, 37213 Witzenhausen, Germany
Ingo Hartmeyer
GEORESEARCH Forschungsgesellschaft mbH, Wissenspark Salzburg-Urstein, Urstein Süd 15, 5412 Puch bei Hallein, Austria
Carolyn-Monika Görres
Department of Applied Ecology, Geisenheim University, Von-Lade-Straße 1, 65366 Geisenheim, Germany
Daniel Uteau
Section of Soil Science, University of Kassel, Nordbahnhofstraße 1a, 37213 Witzenhausen, Germany
Maike Offer
GEORESEARCH Forschungsgesellschaft mbH, Wissenspark Salzburg-Urstein, Urstein Süd 15, 5412 Puch bei Hallein, Austria
Chair of Landslide Research, Technical University of Munich, Arcisstr. 21, 80333 Munich, Germany
Stephan Peth
Institute of Soil Science, Leibniz University Hannover, Herrenhäuser Str. 2, 30419 Hanover, Germany
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Maike Offer, Samuel Weber, Michael Krautblatter, Ingo Hartmeyer, and Markus Keuschnig
The Cryosphere, 19, 485–506, https://doi.org/10.5194/tc-19-485-2025, https://doi.org/10.5194/tc-19-485-2025, 2025
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We present a unique long-term dataset of measurements of borehole temperature, repeated electrical resistivity tomography, and piezometric pressure to investigate the complex seasonal water flow in permafrost rockwalls. Our joint analysis shows that permafrost rocks are subjected to enhanced pressurised water flow during the thaw period, resulting in push-like warming events and long-lasting rock temperature regime changes.
Ingo Hartmeyer and Jan-Christoph Otto
DEUQUA Spec. Pub., 5, 3–12, https://doi.org/10.5194/deuquasp-5-3-2024, https://doi.org/10.5194/deuquasp-5-3-2024, 2024
Doris Hermle, Markus Keuschnig, Ingo Hartmeyer, Robert Delleske, and Michael Krautblatter
Nat. Hazards Earth Syst. Sci., 21, 2753–2772, https://doi.org/10.5194/nhess-21-2753-2021, https://doi.org/10.5194/nhess-21-2753-2021, 2021
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Multispectral remote sensing imagery enables landslide detection and monitoring, but its applicability to time-critical early warning is rarely studied. We present a concept to operationalise its use for landslide early warning, aiming to extend lead time. We tested PlanetScope and unmanned aerial system images on a complex mass movement and compared processing times to historic benchmarks. Acquired data are within the forecasting window, indicating the feasibility for landslide early warning.
Ingo Hartmeyer, Robert Delleske, Markus Keuschnig, Michael Krautblatter, Andreas Lang, Lothar Schrott, and Jan-Christoph Otto
Earth Surf. Dynam., 8, 729–751, https://doi.org/10.5194/esurf-8-729-2020, https://doi.org/10.5194/esurf-8-729-2020, 2020
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Climate warming is causing significant ice surface lowering even in the uppermost parts of alpine glaciers. Using terrestrial lidar, we quantify rockfall in freshly exposed cirque walls. During 6-year monitoring (2011–2017), an extensive dataset was established and over 600 rockfall events identified. Drastically increased rockfall activity following ice retreat can clearly be observed as 60 % of the rockfall volume detached from less than 10 m above the glacier surface.
Ingo Hartmeyer, Markus Keuschnig, Robert Delleske, Michael Krautblatter, Andreas Lang, Lothar Schrott, Günther Prasicek, and Jan-Christoph Otto
Earth Surf. Dynam., 8, 753–768, https://doi.org/10.5194/esurf-8-753-2020, https://doi.org/10.5194/esurf-8-753-2020, 2020
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Rockfall size and frequency in two deglaciating cirques in the Central Alps, Austria, is analysed based on 6-year rockwall monitoring with terrestrial lidar (2011–2017). The erosion rates derived from this dataset are very high due to a frequent occurrence of large rockfalls in freshly deglaciated areas. The results obtained are important for rockfall hazard assessments, as, in rockwalls affected by glacier retreat, historical rockfall patterns are not good predictors of future events.
Andreas Ewald, Ingo Hartmeyer, Markus Keuschnig, Andreas Lang, and Jan-Christoph Otto
The Cryosphere Discuss., https://doi.org/10.5194/tc-2019-42, https://doi.org/10.5194/tc-2019-42, 2019
Preprint withdrawn
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Processes destabilising recently deglaciated rocks, driving cirque headwall retreat, and putting alpine infrastructure at risk are poorly understood due to scarce in situ data. We monitored fracture deformation at a cirque headwall in the Austria Alps. We found thermo-mechanical expansion and freeze-thaw action as dominant processes for deformation. Our results highlight the importance of liquid water in combination with subzero-temperatures on the destabilisation of glacier headwalls.
Mehdi Rahmati, Lutz Weihermüller, Jan Vanderborght, Yakov A. Pachepsky, Lili Mao, Seyed Hamidreza Sadeghi, Niloofar Moosavi, Hossein Kheirfam, Carsten Montzka, Kris Van Looy, Brigitta Toth, Zeinab Hazbavi, Wafa Al Yamani, Ammar A. Albalasmeh, Ma'in Z. Alghzawi, Rafael Angulo-Jaramillo, Antônio Celso Dantas Antonino, George Arampatzis, Robson André Armindo, Hossein Asadi, Yazidhi Bamutaze, Jordi Batlle-Aguilar, Béatrice Béchet, Fabian Becker, Günter Blöschl, Klaus Bohne, Isabelle Braud, Clara Castellano, Artemi Cerdà, Maha Chalhoub, Rogerio Cichota, Milena Císlerová, Brent Clothier, Yves Coquet, Wim Cornelis, Corrado Corradini, Artur Paiva Coutinho, Muriel Bastista de Oliveira, José Ronaldo de Macedo, Matheus Fonseca Durães, Hojat Emami, Iraj Eskandari, Asghar Farajnia, Alessia Flammini, Nándor Fodor, Mamoun Gharaibeh, Mohamad Hossein Ghavimipanah, Teamrat A. Ghezzehei, Simone Giertz, Evangelos G. Hatzigiannakis, Rainer Horn, Juan José Jiménez, Diederik Jacques, Saskia Deborah Keesstra, Hamid Kelishadi, Mahboobeh Kiani-Harchegani, Mehdi Kouselou, Madan Kumar Jha, Laurent Lassabatere, Xiaoyan Li, Mark A. Liebig, Lubomír Lichner, María Victoria López, Deepesh Machiwal, Dirk Mallants, Micael Stolben Mallmann, Jean Dalmo de Oliveira Marques, Miles R. Marshall, Jan Mertens, Félicien Meunier, Mohammad Hossein Mohammadi, Binayak P. Mohanty, Mansonia Pulido-Moncada, Suzana Montenegro, Renato Morbidelli, David Moret-Fernández, Ali Akbar Moosavi, Mohammad Reza Mosaddeghi, Seyed Bahman Mousavi, Hasan Mozaffari, Kamal Nabiollahi, Mohammad Reza Neyshabouri, Marta Vasconcelos Ottoni, Theophilo Benedicto Ottoni Filho, Mohammad Reza Pahlavan-Rad, Andreas Panagopoulos, Stephan Peth, Pierre-Emmanuel Peyneau, Tommaso Picciafuoco, Jean Poesen, Manuel Pulido, Dalvan José Reinert, Sabine Reinsch, Meisam Rezaei, Francis Parry Roberts, David Robinson, Jesús Rodrigo-Comino, Otto Corrêa Rotunno Filho, Tadaomi Saito, Hideki Suganuma, Carla Saltalippi, Renáta Sándor, Brigitta Schütt, Manuel Seeger, Nasrollah Sepehrnia, Ehsan Sharifi Moghaddam, Manoj Shukla, Shiraki Shutaro, Ricardo Sorando, Ajayi Asishana Stanley, Peter Strauss, Zhongbo Su, Ruhollah Taghizadeh-Mehrjardi, Encarnación Taguas, Wenceslau Geraldes Teixeira, Ali Reza Vaezi, Mehdi Vafakhah, Tomas Vogel, Iris Vogeler, Jana Votrubova, Steffen Werner, Thierry Winarski, Deniz Yilmaz, Michael H. Young, Steffen Zacharias, Yijian Zeng, Ying Zhao, Hong Zhao, and Harry Vereecken
Earth Syst. Sci. Data, 10, 1237–1263, https://doi.org/10.5194/essd-10-1237-2018, https://doi.org/10.5194/essd-10-1237-2018, 2018
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This paper presents and analyzes a global database of soil infiltration data, the SWIG database, for the first time. In total, 5023 infiltration curves were collected across all continents in the SWIG database. These data were either provided and quality checked by the scientists or they were digitized from published articles. We are convinced that the SWIG database will allow for a better parameterization of the infiltration process in land surface models and for testing infiltration models.
Carolyn-Monika Görres, Claudia Kammann, and Reinhart Ceulemans
Biogeosciences, 13, 1949–1966, https://doi.org/10.5194/bg-13-1949-2016, https://doi.org/10.5194/bg-13-1949-2016, 2016
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Automated chambers are a promising tool to improve our understanding of short-term dynamics and diurnal cycles of soil greenhouse gas fluxes. Here we compared two commercially available automated chambers systems under a wide range of environmental conditions to test their strengths and weaknesses. Furthermore, the study offers new insights into the potential of automated chambers to provide unbiased nighttime soil respiration measurements.
Related subject area
Cross-cutting themes: Impacts of climate change on Earth surface dynamics
Storm frequency, magnitude, and cumulative storm beach impact along the US east coast
Spatially coherent variability in modern orographic precipitation produces asymmetric paleo-glacier extents in flowline models: Olympic Mountains, USA
Modeling deadwood for rockfall mitigation assessments in windthrow areas
A 4000-year debris flow record based on amphibious investigations of fan delta activity in Plansee (Austria, Eastern Alps)
Biophysical controls of marsh soil shear strength along an estuarine salinity gradient
Current glacier recession causes significant rockfall increase: the immediate paraglacial response of deglaciating cirque walls
Temperature effects on the spatial structure of heavy rainfall modify catchment hydro-morphological response
Detection and explanation of spatiotemporal patterns in Late Cenozoic palaeoclimate change relevant to Earth surface processes
Estimates of late Cenozoic climate change relevant to Earth surface processes in tectonically active orogens
Reconstruction of North American drainage basins and river discharge since the Last Glacial Maximum
Vertical movements of frost mounds in subarctic permafrost regions analyzed using geodetic survey and satellite interferometry
Erosional response of an actively uplifting mountain belt to cyclic rainfall variations
Coastal vulnerability of a pinned, soft-cliff coastline – Part I: Assessing the natural sensitivity to wave climate
Rachele Dominguez, Michael S. Fenster, and John W. McManus
Earth Surf. Dynam., 12, 1145–1163, https://doi.org/10.5194/esurf-12-1145-2024, https://doi.org/10.5194/esurf-12-1145-2024, 2024
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Climate change is a hot topic and changes in storminess can be indicative of climate change impacts. Also, coastal storms can impact ecosystems and the people who live, work, and recreate along our world's coasts. Our findings show that the number of the US east coast storms has not increased since the early 20th century, but storm strength has increased moderately. Finally, beaches can take up to 10 years to recover depending on the number, timing, and strength of previous storms.
Andrew A. Margason, Alison M. Anders, Robert J. C. Conrick, and Gerard H. Roe
Earth Surf. Dynam., 11, 849–863, https://doi.org/10.5194/esurf-11-849-2023, https://doi.org/10.5194/esurf-11-849-2023, 2023
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We examine differences in glacier extent in the Olympic Mountains, USA, where modern precipitation in east-facing valleys is only 50 % of that in west-facing valleys. During the Last Glacial Period, there were very small glaciers in the east and very large glaciers in the west. We use climate data and glacier models to show that the modern spatial pattern of precipitation is likely to have been similar during the past glaciation and may be sufficient to explain the asymmetry of glacier extent.
Adrian Ringenbach, Peter Bebi, Perry Bartelt, Andreas Rigling, Marc Christen, Yves Bühler, Andreas Stoffel, and Andrin Caviezel
Earth Surf. Dynam., 10, 1303–1319, https://doi.org/10.5194/esurf-10-1303-2022, https://doi.org/10.5194/esurf-10-1303-2022, 2022
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The presented automatic deadwood generator (ADG) allows us to consider deadwood in rockfall simulations in unprecedented detail. Besides three-dimensional fresh deadwood cones, we include old woody debris in rockfall simulations based on a higher compaction rate and lower energy absorption thresholds. Simulations including different deadwood states indicate that a 10-year-old deadwood pile has a higher protective capacity than a pre-storm forest stand.
Carolin Kiefer, Patrick Oswald, Jasper Moernaut, Stefano Claudio Fabbri, Christoph Mayr, Michael Strasser, and Michael Krautblatter
Earth Surf. Dynam., 9, 1481–1503, https://doi.org/10.5194/esurf-9-1481-2021, https://doi.org/10.5194/esurf-9-1481-2021, 2021
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This study provides amphibious investigations of debris flow fans (DFFs). We characterize active DFFs, combining laser scan and sonar surveys at Plansee. We discover a 4000-year debris flow record in sediment cores, providing evidence for a 7-fold debris flow frequency increase in the 20th and 21st centuries, coincident with 2-fold enhanced rainstorm activity in the northern European Alps. Our results indicate climate change as being the main factor controlling debris flow activity.
Megan N. Gillen, Tyler C. Messerschmidt, and Matthew L. Kirwan
Earth Surf. Dynam., 9, 413–421, https://doi.org/10.5194/esurf-9-413-2021, https://doi.org/10.5194/esurf-9-413-2021, 2021
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We measured the shear strength of marsh soils along an estuarine salinity gradient to determine salinity's influence on marsh erodibility. Our work is one of the first studies to directly examine the relationship between salinity and marsh erodibility. We find that an increase in salinity correlates with higher soil shear strength values, indicating that salt marshes may be more resistant to erosion. We also show that both belowground biomass and soil properties drive shear strength differences.
Ingo Hartmeyer, Robert Delleske, Markus Keuschnig, Michael Krautblatter, Andreas Lang, Lothar Schrott, and Jan-Christoph Otto
Earth Surf. Dynam., 8, 729–751, https://doi.org/10.5194/esurf-8-729-2020, https://doi.org/10.5194/esurf-8-729-2020, 2020
Short summary
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Climate warming is causing significant ice surface lowering even in the uppermost parts of alpine glaciers. Using terrestrial lidar, we quantify rockfall in freshly exposed cirque walls. During 6-year monitoring (2011–2017), an extensive dataset was established and over 600 rockfall events identified. Drastically increased rockfall activity following ice retreat can clearly be observed as 60 % of the rockfall volume detached from less than 10 m above the glacier surface.
Nadav Peleg, Chris Skinner, Simone Fatichi, and Peter Molnar
Earth Surf. Dynam., 8, 17–36, https://doi.org/10.5194/esurf-8-17-2020, https://doi.org/10.5194/esurf-8-17-2020, 2020
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Extreme rainfall is expected to intensify with increasing temperatures, which will likely affect rainfall spatial structure. The spatial variability of rainfall can affect streamflow and sediment transport volumes and peaks. The sensitivity of the hydro-morphological response to changes in the structure of heavy rainfall was investigated. It was found that the morphological components are more sensitive to changes in rainfall spatial structure in comparison to the hydrological components.
Sebastian G. Mutz and Todd A. Ehlers
Earth Surf. Dynam., 7, 663–679, https://doi.org/10.5194/esurf-7-663-2019, https://doi.org/10.5194/esurf-7-663-2019, 2019
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We apply machine learning techniques to quantify and explain differences between recent palaeoclimates with regards to factors that are important in shaping the Earth's surface. We find that changes in ice cover, near-surface air temperature and rainfall duration create the most distinct differences. We also identify regions particularly prone to changes in rainfall and temperature-controlled erosion, which will help with the interpretation of erosion rates and geological archives.
Sebastian G. Mutz, Todd A. Ehlers, Martin Werner, Gerrit Lohmann, Christian Stepanek, and Jingmin Li
Earth Surf. Dynam., 6, 271–301, https://doi.org/10.5194/esurf-6-271-2018, https://doi.org/10.5194/esurf-6-271-2018, 2018
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We use a climate model and statistics to provide an overview of regional climates from different times in the late Cenozoic. We focus on tectonically active mountain ranges in particular. Our results highlight significant changes in climates throughout the late Cenozoic, which should be taken into consideration when interpreting erosion rates. We also document the differences between model- and proxy-based estimates for late Cenozoic climate change in South America and Tibet.
Andrew D. Wickert
Earth Surf. Dynam., 4, 831–869, https://doi.org/10.5194/esurf-4-831-2016, https://doi.org/10.5194/esurf-4-831-2016, 2016
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The ice sheets that once spread across northern North America dramatically changed the drainage basin areas and discharges of rivers across the continent. As these ice sheets retreated, starting around 19 500 years ago, they sent meltwater to the oceans, influencing climate and building a geologic record of deglaciation. This record can be used to evaluate ice-sheet reconstructions and build an improved history and understanding of past ice-sheet collapse across North America.
I. Beck, R. Ludwig, M. Bernier, T. Strozzi, and J. Boike
Earth Surf. Dynam., 3, 409–421, https://doi.org/10.5194/esurf-3-409-2015, https://doi.org/10.5194/esurf-3-409-2015, 2015
J. Braun, C. Voisin, A. T. Gourlan, and C. Chauvel
Earth Surf. Dynam., 3, 1–14, https://doi.org/10.5194/esurf-3-1-2015, https://doi.org/10.5194/esurf-3-1-2015, 2015
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We have derived a simple solution to the stream power law equation governing the erosion of rapidly uplifting tectonic areas assuming that rainfall varies as a periodic function of time. We show that the erosional response of this forcing is characterized by an amplification of the resulting erosional flux variations as well as a time lag. We show how this time lag can be important in interpreting several geological observations.
A. Barkwith, C. W. Thomas, P. W. Limber, M. A. Ellis, and A. B. Murray
Earth Surf. Dynam., 2, 295–308, https://doi.org/10.5194/esurf-2-295-2014, https://doi.org/10.5194/esurf-2-295-2014, 2014
Cited articles
Allen, S. and Huggel, C.: Extremely warm temperatures as a potential cause of recent high mountain rockfall, Global Planet. Change, 107, 59–69, https://doi.org/10.1016/j.gloplacha.2013.04.007, 2013.
Aumer, W. and Hartmeyer, I.: Borehole temperatures and thaw depths in mountain permafrost, Kitzsteinhom, Hohe Tauern Range, Austria, Zenodo [data set], https://doi.org/10.5281/zenodo.10203390, 2024.
Balkan, E., Erkan, K., and Şalk, M.: Thermal conductivity of major rock types in western and central Anatolia regions, Turkey, J. Geophys. Eng., 14, 909–919, https://doi.org/10.1088/1742-2140/aa5831, 2017.
Biskaborn, B. K., Lanckman, J.-P., Lantuit, H., Elger, K., Streletskiy, D. A., Cable, W. L., and Romanovsky, V. E.: The new database of the Global Terrestrial Network for Permafrost (GTN-P), Earth Syst. Sci. Data, 7, 245–259, https://doi.org/10.5194/essd-7-245-2015, 2015.
Biskaborn, B. K., Smith, S. L., Noetzli, J., Matthes, H., Vieira, G., Streletskiy, D. A., Schoeneich, P., Romanovsky, V. E., Lewkowicz, A. G., Abramov, A., Allard, M., Boike, J., Cable, W. L., Christiansen, H. H., Delaloye, R., Diekmann, B., Drozdov, D., Etzelmüller, B., Grosse, G., Guglielmin, M., Ingeman-Nielsen, T., Isaksen, K., Ishikawa, M., Johansson, M., Johannsson, H., Joo, A., Kaverin, D., Kholodov, A., Konstantinov, P., Kröger, T., Lambiel, C., Lanckman, J.-P., Luo, D., Malkova, G., Meiklejohn, I., Moskalenko, N., Oliva, M., Phillips, M., Ramos, M., Sannel, A. B. K., Sergeev, D., Seybold, C., Skryabin, P., Vasiliev, A., Wu, Q., Yoshikawa, K., Zheleznyak, M., and Lantuit, H.: Permafrost is warming at a global scale, Nat. Commun., 10, 264, https://doi.org/10.1038/s41467-018-08240-4, 2019.
Burn, C. R. and Smith, C.: Observations of the “Thermal Offset” in Near-Surface Mean Annual Ground Temperatures at Several Sites near Mayo, Yukon Territory, Canada, ARCTIC, 41, 99–104, https://doi.org/10.14430/arctic1700, 1988.
Burn, C. R. and Zhang, Y.: Permafrost and climate change at Herschel Island (Qikiqtaruq), Yukon Territory, Canada, J. Geophys. Res., 114, F02001, https://doi.org/10.1029/2008JF001087, 2009.
DeVries, D. A.: Thermal properties of soils, in: Physics of plant environment, edited by: van Wijk, D. R., North-Holland Publ. Comp., Amsterdam, 210–235, 1963.
Dobinski, W.: Permafrost, Earth-Sci. Rev., 108, 158–169, https://doi.org/10.1016/j.earscirev.2011.06.007, 2011.
Engelhardt, M., Hauck, C., and Salzmann, N.: Influence of atmospheric forcing parameters on modelled mountain permafrost evolution, Meteorol. Z., 19, 491–500, https://doi.org/10.1127/0941-2948/2010/0476, 2010.
Etzelmüller, B., Guglielmin, M., Hauck, C., Hilbich, C., Hoelzle, M., Isaksen, K., Noetzli, J., Oliva, M., and Ramos, M.: Twenty years of European mountain permafrost dynamics – the PACE legacy, Environ. Res. Lett., 15, 104070, https://doi.org/10.1088/1748-9326/abae9d, 2020.
Fischer, L., Kääb, A., Huggel, C., and Noetzli, J.: Geology, glacier retreat and permafrost degradation as controlling factors of slope instabilities in a high-mountain rock wall: the Monte Rosa east face, Nat. Hazards Earth Syst. Sci., 6, 761–772, https://doi.org/10.5194/nhess-6-761-2006, 2006.
Fischer, L., Purves, R. S., Huggel, C., Noetzli, J., and Haeberli, W.: On the influence of topographic, geological and cryospheric factors on rock avalanches and rockfalls in high-mountain areas, Nat. Hazards Earth Syst. Sci., 12, 241–254, https://doi.org/10.5194/nhess-12-241-2012, 2012.
Garratt, J.: Review: the atmospheric boundary layer, Earth-Sci. Rev., 37, 89–134, https://doi.org/10.1016/0012-8252(94)90026-4, 1994.
GCOS: The Status of the Global Climate Observing System 2021: The GCOS Status Report (GCOS-240), World Meteorological Organization, Geneva, Italy, https://doi.org/10.5167/uzh-213734, 2021.
Gruber, S. and Haeberli, W.: Permafrost in steep bedrock slopes and its temperature-related destabilization following climate change, J. Geophys. Res., 112, https://doi.org/10.1029/2006JF000547, 2007.
Gruber, S., Hoelzle, M., and Haeberli, W.: Permafrost thaw and destabilization of Alpine rock walls in the hot summer of 2003, Geophys. Res. Lett., 31, https://doi.org/10.1029/2004GL020051, 2004.
Gubler, S., Fiddes, J., Keller, M., and Gruber, S.: Scale-dependent measurement and analysis of ground surface temperature variability in alpine terrain, The Cryosphere, 5, 431–443, https://doi.org/10.5194/tc-5-431-2011, 2011.
Gude, M. and Barsch, D.: Assessment of geomorphic hazards in connection with permafrost occurrence in the Zugspitze area (Bavarian Alps, Germany), Geomorphology, 66, 85–93, https://doi.org/10.1016/j.geomorph.2004.03.013, 2005.
Haeberli, W., Noetzli, J., Arenson, L., Delaloye, R., Gärtner-Roer, I., Gruber, S., Isaksen, K., Kneisel, C., Krautblatter, M., and Phillips, M.: Mountain permafrost: development and challenges of a young research field, J. Glaciol., 56, 1043–1058, https://doi.org/10.3189/002214311796406121, 2010.
Harris, C., Arenson, L. U., Christiansen, H. H., Etzelmüller, B., Frauenfelder, R., Gruber, S., Haeberli, W., Hauck, C., Hölzle, M., Humlum, O., Isaksen, K., Kääb, A., Kern-Lütschg, M. A., Lehning, M., Matsuoka, N., Murton, J. B., Nötzli, J., Phillips, M., Ross, N., Seppälä, M., Springman, S. M., and Vonder Mühll, D.: Permafrost and climate in Europe: Monitoring and modelling thermal, geomorphological and geotechnical responses, Earth-Sci. Rev., 92, 117–171, https://doi.org/10.1016/j.earscirev.2008.12.002, 2009.
Harris, S. A., French, H. M., Heginbottom, J. A., Johnston, G. H., Ladanyi, B., Sego, D. C., and van Everdingen, R. O.: Glossary of permafrost and related ground-ice terms, National Research Council of Canada. Associate Committee on Geotechnical Research. Permafrost Subcommittee, ISBN: 0-660-12540-4, https://doi.org/10.4224/20386561, 1988.
Hartmeyer, I., Keuschnig, M., and Schrott, L.: Long-term monitoring of permafrost-affected rock faces – A scale-oriented approach for the investigation of ground thermal conditions in alpine terrain, Kitzsteinhorn, Austria, Austrian J. Earth Sc., 105, 128–139, 2012.
Hartmeyer, I., Delleske, R., Keuschnig, M., Krautblatter, M., Lang, A., Schrott, L., and Otto, J.-C.: Current glacier recession causes significant rockfall increase: the immediate paraglacial response of deglaciating cirque walls, Earth Surf. Dynam., 8, 729–751, https://doi.org/10.5194/esurf-8-729-2020, 2020a.
Hartmeyer, I., Keuschnig, M., Delleske, R., Krautblatter, M., Lang, A., Schrott, L., Prasicek, G., and Otto, J.-C.: A 6 year lidar survey reveals enhanced rockwall retreat and modified rockfall magnitudes/frequencies in deglaciating cirques, Earth Surf. Dynam., 8, 753–768, https://doi.org/10.5194/esurf-8-753-2020, 2020b.
Hasler, A., Gruber, S., and Haeberli, W.: Temperature variability and offset in steep alpine rock and ice faces, The Cryosphere, 5, 977–988, https://doi.org/10.5194/tc-5-977-2011, 2011.
Hinzman, L. D., Kane, D. L., Gieck, R. E., and Everett, K. R.: Hydrologic and thermal properties of the active layer in the Alaskan Arctic, Cold Reg. Sci. Technol., 19, 95–110, https://doi.org/10.1016/0165-232X(91)90001-W, 1991.
Hipp, T., Etzelmüller, B., Farbrot, H., Schuler, T. V., and Westermann, S.: Modelling borehole temperatures in Southern Norway – insights into permafrost dynamics during the 20th and 21st century, The Cryosphere, 6, 553–571, https://doi.org/10.5194/tc-6-553-2012, 2012.
Hjort, J., Streletskiy, D., Doré, G., Wu, Q., Bjella, K., and Luoto, M.: Impacts of permafrost degradation on infrastructure, Nat. Rev. Earth Environ., 3, 24–38, https://doi.org/10.1038/s43017-021-00247-8, 2022.
Hubbart, J., Link, T., Campbell, C., and Cobos, D.: Evaluation of a low-cost temperature measurement system for environmental applications, Hydrol. Process., 19, 1517–1523, https://doi.org/10.1002/hyp.5861, 2005.
IPCC: Summary for Policymakers, in: Climate Change 2021: The Physical Science Basis, Contribution of Working Group I to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change, edited by: Masson-Delmotte, V., Zhai, P., Pirani, A., Connors, S. L., Péan, C., Berger, S., Caud, N., Chen, Y., Goldfarb, L., Gomis, M. I., Huang, M., Leitzell, K., Lonnoy, E., Matthews, J. B. R., Maycock, T. K., Waterfield, T., Yelekçi, O., Yu, R., and Zhou, B., Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA, 3–32, https://doi.org/10.1017/9781009157896.001, 2023.
James, D. W.: The thermal diffusivity of ice and water between −40 and +60 °C, J. Mater. Sci., 3, 540–543, https://doi.org/10.1007/BF00549738, 1968.
Kaverin, D., Malkova, G., Zamolodchikov, D., Shiklomanov, N., Pastukhov, A., Novakovskiy, A., Sadurtdinov, M., Skvortsov, A., Tsarev, A., Pochikalov, A., Malitsky, S., and Kraev, G.: Long-term active layer monitoring at CALM sites in the Russian European North, Polar Geography, 44, 203–216, https://doi.org/10.1080/1088937X.2021.1981476, 2021.
Kenner, R. and Phillips, M.: Fels- und Bergstürze in Permafrost Gebieten: Einflussfaktoren, Auslösemechanismen und Schlussfolgerungen für die Praxis: Schlussbericht Arge Alp Projekt “Einfluss von Permafrost auf Berg- und Felsstürze”, WSL-Institute for Snow and Avalanche Research SLF, Graubünden, 2017.
Kim, D. and Oh, S.: Relationship between the thermal properties and degree of saturation of cementitious grouts used in vertical borehole heat exchangers, Energ. Buildings, 201, 1–9, https://doi.org/10.1016/j.enbuild.2019.07.017, 2019.
Krainer, K.: Nationalpark Hohe Tauern: Geologie, 2. überarb. und erw. Aufl., Wissenschaftliche Schriften / Nationalpark Hohe Tauern, Universitätsverlag Carinthia, Klagenfurt, 199 pp., ISBN: 3853785859, 2005.
Krautblatter, M., Funk, D., and Günzel, F. K.: Why permafrost rocks become unstable: a rock-ice-mechanical model in time and space, Earth Surf. Proc. Land., 38, 876–887, https://doi.org/10.1002/esp.3374, 2013.
Legay, A., Magnin, F., and Ravanel, L.: Rock temperature prior to failure: Analysis of 209 rockfall events in the Mont Blanc massif (Western European Alps), Permafrost Periglac., 32, 520–536, https://doi.org/10.1002/ppp.2110, 2021.
Michaelides, R. J., Schaefer, K., Zebker, H. A., Parsekian, A., Liu, L., Chen, J., Natali, S., Ludwig, S., and Schaefer, S. R.: Inference of the impact of wildfire on permafrost and active layer thickness in a discontinuous permafrost region using the remotely sensed active layer thickness (ReSALT) algorithm, Environ. Res. Lett., 14, 35007, https://doi.org/10.1088/1748-9326/aaf932, 2019.
Miner, K. R., Turetsky, M. R., Malina, E., Bartsch, A., Tamminen, J., McGuire, A. D., Fix, A., Sweeney, C., Elder, C. D., and Miller, C. E.: Permafrost carbon emissions in a changing Arctic, Nat. Rev. Earth Environ., 3, 55–67, https://doi.org/10.1038/s43017-021-00230-3, 2022.
Mishra, U., Drewniak, B., Jastrow, J. D., Matamala, R. M., and Vitharana, U.: Spatial representation of organic carbon and active-layer thickness of high latitude soils in CMIP5 earth system models, Geoderma, 300, 55–63, https://doi.org/10.1016/j.geoderma.2016.04.017, 2017.
Nash, J. E. and Sutcliffe, J. V.: River flow forecasting through conceptual models part I – A discussion of principles, J. Hydrol., 10, 282–290, https://doi.org/10.1016/0022-1694(70)90255-6, 1970.
Offer, M., Weber, S., Krautblatter, M., Hartmeyer, I., and Keuschnig, M.: Pressurised water flow in fractured permafrost rocks revealed by borehole temperature, electrical resistivity tomography, and piezometric pressure, The Cryosphere, 19, 485–506, https://doi.org/10.5194/tc-19-485-2025, 2025.
Oke, T. R.: Boundary layer climates, 2nd edn., Routledge, London, New York, 435 pp., ISBN: 9780203407219, https://doi.org/10.4324/9780203407219, 1987.
Otto, J., Keuschnig, M., Götz, J., Marbach, M., and Schrott, L.: Detection of mountain permafrost by combining high resolution surface and subsurface information – an example from the Glatzbach catchment, Austrian Alps, Geogr. Ann. A, 94, 43–57, https://doi.org/10.1111/j.1468-0459.2012.00455.x, 2012.
Outcalt, S. I., Nelson, F. E., and Hinkel, K. M.: The zero-curtain effect: Heat and mass transfer across an isothermal region in freezing soil, Water Resour. Res., 26, 1509–1516, https://doi.org/10.1029/WR026i007p01509, 1990.
PERMOS: Swiss Permafrost Bulletin 2022, Swiss Permafrost Monitoring Network, edited by: Noetzli, J. and Pellet, C., no. 4, 22 pp., https://doi.org/10.13093/PERMOS-BULL-2023, 2023.
Rajeev, P. and Kodikara, J.: Estimating apparent thermal diffusivity of soil using field temperature time series, Geomech. Geoeng., 11, 28–46, https://doi.org/10.1080/17486025.2015.1006266, 2016.
Ravanel, L., Magnin, F., and Deline, P.: Impacts of the 2003 and 2015 summer heatwaves on permafrost-affected rock-walls in the Mont Blanc massif, Sci. Total Environ., 609, 132–143, https://doi.org/10.1016/j.scitotenv.2017.07.055, 2017.
Romanovsky, V. E. and Osterkamp, T. E.: Interannual variations of the thermal regime of the active layer and near-surface permafrost in northern Alaska, Permafrost Periglac., 6, 313–335, https://doi.org/10.1002/ppp.3430060404, 1995.
Sass, O.: Rock moisture measurements: techniques, results, and implications for weathering, Earth Surf. Proc. Land., 30, 359–374, https://doi.org/10.1002/esp.1214, 2005.
Schrott, L., Otto, J.-C., and Keller, F.: Modelling alpine permafrost distribution in the Hohe Tauern region, Austria, Austrian J. Earth Sc., 105, 169–183, 2012.
Smith, M. W. and Riseborough, D. W.: Climate and the limits of permafrost: a zonal analysis, Permafrost Periglac., 13, 1–15, https://doi.org/10.1002/ppp.410, 2002.
Stoffel, M., Mendlik, T., Schneuwly-Bollschweiler, M., and Gobiet, A.: Possible impacts of climate change on debris-flow activity in the Swiss Alps, Climatic Change, 122, 141–155, https://doi.org/10.1007/s10584-013-0993-z, 2014.
Streletskiy, D. A., Shiklomanov, N. I., Nelson, F. E., Klene, A. E., Nyland, K. E., and Moore, N. J.: Global Observation Data Show Variable but Increasing Active-Layer Thickness, American Geophysical Union, Fall Meeting, 1–17 December 2020, San Francisco, Bibcode: 2020AGUFMC016...07S, abstract #C016-07, 2020.
Talebi, H. R., Kayan, B. A., Asadi, I., and Hassan, Z. F. B. A.: Investigation of Thermal Properties of Normal Weight Concrete for Different Strength Classes, J. Environ. Treat. Tech., 8, 908–914, ISSN: 2309-1185, 2020.
Walter, F., Amann, F., Kos, A., Kenner, R., Phillips, M., de Preux, A., Huss, M., Tognacca, C., Clinton, J., Diehl, T., and Bonanomi, Y.: Direct observations of a three million cubic meter rock-slope collapse with almost immediate initiation of ensuing debris flows, Geomorphology, 351, 106933, https://doi.org/10.1016/j.geomorph.2019.106933, 2020.
Williams, P. J. and Smith, M. W.: The frozen earth. Fundamentals of geocryology, Permafrost Periglac., 4, 178–181, https://doi.org/10.1002/ppp.3430040221, 1993.
Short summary
The summertime thaw depth of permanently frozen ground (active layer thickness, ALT) is of critical importance for natural hazard management (e.g., rock avalanches) and construction (foundation stability) in mountain permafrost regions. We report the first analytical heat transport model for simulating ALT based on near-surface temperature in permafrost rock walls. Our results show that the ALT will likely increase by more than 50 % by 2050 at 3000 m a.s.l. in the European Alps.
The summertime thaw depth of permanently frozen ground (active layer thickness, ALT) is of...