Articles | Volume 26, issue 2
https://doi.org/10.5194/nhess-26-881-2026
© Author(s) 2026. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/nhess-26-881-2026
© Author(s) 2026. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Spatial structures of emerging hot and dry compound events over Europe from 1950 to 2023
Joséphine Schmutz
CORRESPONDING AUTHOR
CNRS-CEA-LSCE-IPSL, Laboratoire de Science du Climat et de l'Environnement, Gif sur Yvette, France
Mathieu Vrac
CNRS-CEA-LSCE-IPSL, Laboratoire de Science du Climat et de l'Environnement, Gif sur Yvette, France
Bastien François
Royal Netherlands Meteorological Institute (KNMI), Research and Development Weather and Climate (RDWK), De Bilt, the Netherlands
Burak Bulut
Centre for Ecology and Hydrology, Lancaster, UK
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Greta Cazzaniga, Anastasia Akakpo-Numado, Patrick Brockmann, Adrien Burq, Mathieu Vrac, and Davide Faranda
EGUsphere, https://doi.org/10.5194/egusphere-2026-1175, https://doi.org/10.5194/egusphere-2026-1175, 2026
This preprint is open for discussion and under review for Natural Hazards and Earth System Sciences (NHESS).
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Extreme weather events are becoming more frequent and severe, creating a strong need for rapid and reliable information. We developed an open tool that automatically detects and tracks heatwaves, cold spells, heavy rain, and strong winds across Europe, both in real time and in past decades. By comparing current events with long historical records, the tool shows how unusual an event is and reveals clear increases in heatwaves, while other hazards show more mixed changes.
Guillaume Evin, Benoit Hingray, Guillaume Thirel, Agnès Ducharne, Laurent Strohmenger, Lola Corre, Yves Tramblay, Jean-Philippe Vidal, Jérémie Bonneau, François Colleoni, Joël Gailhard, Florence Habets, Frédéric Hendrickx, Louis Héraut, Peng Huang, Matthieu Le Lay, Claire Magand, Paola Marson, Céline Monteil, Simon Munier, Alix Reverdy, Jean-Michel Soubeyroux, Yoann Robin, Jean-Pierre Vergnes, Mathieu Vrac, and Eric Sauquet
Hydrol. Earth Syst. Sci., 30, 1023–1051, https://doi.org/10.5194/hess-30-1023-2026, https://doi.org/10.5194/hess-30-1023-2026, 2026
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Explore2 provides hydrological projections for 1,735 French catchments. Using QUALYPSO (Quasi-Ergodic Analysis of Climate Projections Using Data Augmentation), this study assesses uncertainties, including internal variability. By the end of the century, low flows are projected to decline in southern France under high emissions, while other indicators remain uncertain. Emission scenarios and regional climate models are key uncertainty sources. Internal variability is often as large as climate-driven changes.
Wilson Chan, Katie A. Facer-Childs, Maliko Tanguy, Eugene Magee, Burak Bulut, Nicky Stringer, Jeff Knight, and Jamie Hannaford
Hydrol. Earth Syst. Sci., 30, 905–927, https://doi.org/10.5194/hess-30-905-2026, https://doi.org/10.5194/hess-30-905-2026, 2026
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The UK Hydrological Outlook river flow forecasting system recently implemented the Historic Weather Analogues method. The method improves winter river flow forecast skill across the UK, especially in upland, fast-responding catchments with low catchment storage. Forecast skill is highest in winter due to accurate prediction of atmospheric circulation patterns like the North Atlantic Oscillation. The Ensemble Streamflow prediction method remains a robust benchmark, especially for other seasons.
Pradeebane Vaittinada Ayar, Stella Bourdin, Davide Faranda, and Mathieu Vrac
Nat. Hazards Earth Syst. Sci., 25, 4655–4672, https://doi.org/10.5194/nhess-25-4655-2025, https://doi.org/10.5194/nhess-25-4655-2025, 2025
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Tracking tropical cyclones (TCs) remains a matter of interest for investigating observed and simulated tropical cyclones. In this study, Random Forest (RF), a machine learning approach, is considered to track TCs. RF associates the TC occurrence or absence with different atmospheric configurations. Compared to trackers found in the literature, it shows similar performance for tracking TCs, better control over false alarms, more flexibility, and reveals key variables for TCs' detection.
Germain Bénard, Marion Gehlen, and Mathieu Vrac
EGUsphere, https://doi.org/10.5194/egusphere-2025-4680, https://doi.org/10.5194/egusphere-2025-4680, 2025
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Climate change is transforming ocean ecosystem dynamics. We used causality methods to study how the relationships between ocean physics and biogeochemistry will change in the North Atlantic over the next century. By analyzing five different climate models, we discovered that environmental drivers' influence on ocean productivity evolves in complex ways under global warming. One environmental driver can become of major importance while others can become irrelevant.
Paul C. Astagneau, Raul R. Wood, Mathieu Vrac, Sven Kotlarski, Pradeebane Vaittinada Ayar, Bastien François, and Manuela I. Brunner
Hydrol. Earth Syst. Sci., 29, 5695–5718, https://doi.org/10.5194/hess-29-5695-2025, https://doi.org/10.5194/hess-29-5695-2025, 2025
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To study floods and droughts that are likely to change in the future, we use climate projections from climate models. However, we first need to adjust the systematic biases of these projections at the catchment scale before using them in hydrological models. Our study compares statistical methods that can adjust these biases but specifically for climate projections that enable a quantification of internal climate variability. We provide recommendations on the most appropriate methods.
Denis Allard, Mathieu Vrac, Bastien François, and Iñaki García de Cortázar-Atauri
Hydrol. Earth Syst. Sci., 29, 4711–4738, https://doi.org/10.5194/hess-29-4711-2025, https://doi.org/10.5194/hess-29-4711-2025, 2025
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Atmospheric variables from climate models often present biases relative to the past. In order to use these models to assess the impact of climate change on processes of interest, it is necessary to correct these biases. We tested several Multivariate Bias Correction Methods (MBCMs) for 5 physical variables that are input variables for 4 process models. We provide recommendations regarding the use of MBCMs when multivariate and time dependent processes are involved.
Robin Noyelle, Davide Faranda, Yoann Robin, Mathieu Vrac, and Pascal Yiou
Weather Clim. Dynam., 6, 817–839, https://doi.org/10.5194/wcd-6-817-2025, https://doi.org/10.5194/wcd-6-817-2025, 2025
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Properties of extreme meteorological and climatological events are changing under human-caused climate change. Extreme event attribution methods seek to estimate the contribution of global warming in the probability and intensity changes of extreme events. Here we propose a procedure to estimate these quantities for the flow analogue method, which compares the observed event to similar events in the past.
Duncan Pappert, Alexandre Tuel, Dim Coumou, Mathieu Vrac, and Olivia Martius
Weather Clim. Dynam., 6, 769–788, https://doi.org/10.5194/wcd-6-769-2025, https://doi.org/10.5194/wcd-6-769-2025, 2025
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This study compares the dynamical structures that characterise long-lasting (persistent) and short hot spells in Western Europe. We find differences in large-scale atmospheric flow patterns during the events and particular soil moisture evolutions, which can account for the variation in event duration. There is variability in how drivers combine in individual events. Understanding persistent heat extremes can help improve their representation in models and ultimately their prediction.
Germain Bénard, Marion Gehlen, and Mathieu Vrac
Earth Syst. Dynam., 16, 1085–1102, https://doi.org/10.5194/esd-16-1085-2025, https://doi.org/10.5194/esd-16-1085-2025, 2025
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We introduce a novel approach to compare Earth system model output using a causality-based approach. The analysis of interactions between atmospheric, oceanic and biogeochemical variables in the North Atlantic subpolar gyre highlights the dynamics of each model. This method reveals potential underlying causes of model differences, offering a tool for enhanced model evaluation and improved understanding of complex Earth system dynamics under past and future climates.
Bastien François, Khalil Teber, Lou Brett, Richard Leeding, Luis Gimeno-Sotelo, Daniela I. V. Domeisen, Laura Suarez-Gutierrez, and Emanuele Bevacqua
Earth Syst. Dynam., 16, 1029–1051, https://doi.org/10.5194/esd-16-1029-2025, https://doi.org/10.5194/esd-16-1029-2025, 2025
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Spatially compounding wind and precipitation (CWP) extremes can lead to severe impacts on society. We find that concurrent climate variability modes favor the occurrence of such wintertime spatially compounding events in the Northern Hemisphere and can even amplify the number of regions and population exposed. Our analysis highlights the importance of considering the interplay between variability modes to improve risk management of such spatially compounding events.
Burak Bulut, Eugene Magee, Rachael Armitage, Opeyemi E. Adedipe, Maliko Tanguy, Lucy J. Barker, and Jamie Hannaford
EGUsphere, https://doi.org/10.5194/egusphere-2025-3176, https://doi.org/10.5194/egusphere-2025-3176, 2025
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This study developed a generic machine learning model to forecast drought impacts, with the UK as the main focus. The same model was successfully validated in Germany, showing potential for use in other regions. It captured local patterns of past drought impacts, matching observed events. Using weather and soil data, the model supports early warning and drought risk management. Results are promising, though testing in more climates and conditions would strengthen confidence.
Ségolène Crossouard, Soulivanh Thao, Thomas Dubos, Masa Kageyama, Mathieu Vrac, and Yann Meurdesoif
EGUsphere, https://doi.org/10.5194/egusphere-2025-1418, https://doi.org/10.5194/egusphere-2025-1418, 2025
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Current atmospheric models are limited by the computational time required for physical processes, known as physical parameterizations. To address this, we developed neural network-based emulators to replace these parameterizations in the IPSL climate model, using a simplified aquaplanet setup. We found that incorporating some physical knowledge, such as latent variables, into the learning process can improve predictions.
Yoann Robin, Mathieu Vrac, Aurélien Ribes, Occitane Barbaux, and Philippe Naveau
EGUsphere, https://doi.org/10.5194/egusphere-2025-1121, https://doi.org/10.5194/egusphere-2025-1121, 2025
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We describe an improved method and the associated free licensed package ANKIALE (ANalysis of Klimate with bayesian Inference: AppLication to extreme Events) for estimating the statistics of temperature extremes. This method uses climate model simulations (including multiple scenarios simultaneously) to provide a prior of the real-world changes, constrained by the observations. The method and the tool are illustrated via an application to temperature over Europe until 2100, for four scenarios.
Davide Faranda, Gabriele Messori, Erika Coppola, Tommaso Alberti, Mathieu Vrac, Flavio Pons, Pascal Yiou, Marion Saint Lu, Andreia N. S. Hisi, Patrick Brockmann, Stavros Dafis, Gianmarco Mengaldo, and Robert Vautard
Weather Clim. Dynam., 5, 959–983, https://doi.org/10.5194/wcd-5-959-2024, https://doi.org/10.5194/wcd-5-959-2024, 2024
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We introduce ClimaMeter, a tool offering real-time insights into extreme-weather events. Our tool unveils how climate change and natural variability affect these events, affecting communities worldwide. Our research equips policymakers and the public with essential knowledge, fostering informed decisions and enhancing climate resilience. We analysed two distinct events, showcasing ClimaMeter's global relevance.
Mathieu Vrac, Denis Allard, Grégoire Mariéthoz, Soulivanh Thao, and Lucas Schmutz
Earth Syst. Dynam., 15, 735–762, https://doi.org/10.5194/esd-15-735-2024, https://doi.org/10.5194/esd-15-735-2024, 2024
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We aim to combine multiple global climate models (GCMs) to enhance the robustness of future projections. We introduce a novel approach, called "α pooling", aggregating the cumulative distribution functions (CDFs) of the models into a CDF more aligned with historical data. The new CDFs allow us to perform bias adjustment of all the raw climate simulations at once. Experiments with European temperature and precipitation demonstrate the superiority of this approach over conventional techniques.
Moctar Dembélé, Mathieu Vrac, Natalie Ceperley, Sander J. Zwart, Josh Larsen, Simon J. Dadson, Grégoire Mariéthoz, and Bettina Schaefli
Proc. IAHS, 385, 121–127, https://doi.org/10.5194/piahs-385-121-2024, https://doi.org/10.5194/piahs-385-121-2024, 2024
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This study assesses the impact of climate change on the timing, seasonality and magnitude of mean annual minimum (MAM) flows and annual maximum flows (AMF) in the Volta River basin (VRB). Several climate change projection data are use to simulate river flow under multiple greenhouse gas emission scenarios. Future projections show that AMF could increase with various magnitude but negligible shift in time across the VRB, while MAM could decrease with up to 14 days of delay in occurrence.
Lina Teckentrup, Martin G. De Kauwe, Gab Abramowitz, Andrew J. Pitman, Anna M. Ukkola, Sanaa Hobeichi, Bastien François, and Benjamin Smith
Earth Syst. Dynam., 14, 549–576, https://doi.org/10.5194/esd-14-549-2023, https://doi.org/10.5194/esd-14-549-2023, 2023
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Studies analyzing the impact of the future climate on ecosystems employ climate projections simulated by global circulation models. These climate projections display biases that translate into significant uncertainty in projections of the future carbon cycle. Here, we test different methods to constrain the uncertainty in simulations of the carbon cycle over Australia. We find that all methods reduce the bias in the steady-state carbon variables but that temporal properties do not improve.
Cedric Gacial Ngoungue Langue, Christophe Lavaysse, Mathieu Vrac, and Cyrille Flamant
Nat. Hazards Earth Syst. Sci., 23, 1313–1333, https://doi.org/10.5194/nhess-23-1313-2023, https://doi.org/10.5194/nhess-23-1313-2023, 2023
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Heat waves (HWs) are climatic hazards that affect the planet. We assess here uncertainties encountered in the process of HW detection and analyse their recent trends in West Africa using reanalysis data. Three types of uncertainty have been investigated. We identified 6 years with higher frequency of HWs, possibly due to higher sea surface temperatures in the equatorial Atlantic. We noticed an increase in HW characteristics during the last decade, which could be a consequence of climate change.
Bastien François and Mathieu Vrac
Nat. Hazards Earth Syst. Sci., 23, 21–44, https://doi.org/10.5194/nhess-23-21-2023, https://doi.org/10.5194/nhess-23-21-2023, 2023
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Compound events (CEs) result from a combination of several climate phenomena. In this study, we propose a new methodology to assess the time of emergence of CE probabilities and to quantify the contribution of marginal and dependence properties of climate phenomena to the overall CE probability changes. By applying our methodology to two case studies, we show the importance of considering changes in both marginal and dependence properties for future risk assessments related to CEs.
Antoine Grisart, Mathieu Casado, Vasileios Gkinis, Bo Vinther, Philippe Naveau, Mathieu Vrac, Thomas Laepple, Bénédicte Minster, Frederic Prié, Barbara Stenni, Elise Fourré, Hans Christian Steen-Larsen, Jean Jouzel, Martin Werner, Katy Pol, Valérie Masson-Delmotte, Maria Hoerhold, Trevor Popp, and Amaelle Landais
Clim. Past, 18, 2289–2301, https://doi.org/10.5194/cp-18-2289-2022, https://doi.org/10.5194/cp-18-2289-2022, 2022
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This paper presents a compilation of high-resolution (11 cm) water isotopic records, including published and new measurements, for the last 800 000 years from the EPICA Dome C ice core, Antarctica. Using this new combined water isotopes (δ18O and δD) dataset, we study the variability and possible influence of diffusion at the multi-decadal to multi-centennial scale. We observe a stronger variability at the onset of the interglacial interval corresponding to a warm period.
Moctar Dembélé, Mathieu Vrac, Natalie Ceperley, Sander J. Zwart, Josh Larsen, Simon J. Dadson, Grégoire Mariéthoz, and Bettina Schaefli
Hydrol. Earth Syst. Sci., 26, 1481–1506, https://doi.org/10.5194/hess-26-1481-2022, https://doi.org/10.5194/hess-26-1481-2022, 2022
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Climate change impacts on water resources in the Volta River basin are investigated under various global warming scenarios. Results reveal contrasting changes in future hydrological processes and water availability, depending on greenhouse gas emission scenarios, with implications for floods and drought occurrence over the 21st century. These findings provide insights for the elaboration of regional adaptation and mitigation strategies for climate change.
Yoann Robin and Mathieu Vrac
Earth Syst. Dynam., 12, 1253–1273, https://doi.org/10.5194/esd-12-1253-2021, https://doi.org/10.5194/esd-12-1253-2021, 2021
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We propose a new multivariate downscaling and bias correction approach called
time-shifted multivariate bias correction, which aims to correct temporal dependencies in addition to inter-variable and spatial ones. Our method is evaluated in a
perfect model experimentcontext where simulations are used as pseudo-observations. The results show a large reduction of the biases in the temporal properties, while inter-variable and spatial dependence structures are still correctly adjusted.
Cedric G. Ngoungue Langue, Christophe Lavaysse, Mathieu Vrac, Philippe Peyrillé, and Cyrille Flamant
Weather Clim. Dynam., 2, 893–912, https://doi.org/10.5194/wcd-2-893-2021, https://doi.org/10.5194/wcd-2-893-2021, 2021
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This work assesses the forecast of the temperature over the Sahara, a key driver of the West African Monsoon, at a seasonal timescale. The seasonal models are able to reproduce the climatological state and some characteristics of the temperature during the rainy season in the Sahel. But, because of errors in the timing, the forecast skill scores are significant only for the first 4 weeks.
Anna Denvil-Sommer, Marion Gehlen, and Mathieu Vrac
Ocean Sci., 17, 1011–1030, https://doi.org/10.5194/os-17-1011-2021, https://doi.org/10.5194/os-17-1011-2021, 2021
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In this work we explored design options for a future Atlantic-scale observational network enabling the release of carbon system estimates by combining data streams from various platforms. We used outputs of a physical–biogeochemical global ocean model at sites of real-world observations to reconstruct surface ocean pCO2 by applying a non-linear feed-forward neural network. The results provide important information for future BGC-Argo deployment, i.e. important regions and the number of floats.
Cited articles
Abatzoglou, J. T., Williams, A. P., and Barbero, R.: Global Emergence of Anthropogenic Climate Change in Fire Weather Indices, Geophys. Res. Lett., 46, 326–336, https://doi.org/10.1029/2018GL080959, 2019. a
Abatzoglou, J. T., Dobrowski, S. Z., and Parks, S. A.: Multivariate climate departures have outpaced univariate changes across global lands, Scientific Reports, 10, 3891, https://doi.org/10.1038/s41598-020-60270-5, 2020. a
Ballester, J., Quijal-Zamorano, M., Méndez Turrubiates, R. F., Pegenaute, F., Herrmann, F. R., Robine, J. M., Basagaña, X., Tonne, C., Antó, J. M., and Achebak, H.: Heat-related mortality in Europe during the summer of 2022, Nat. Med., 29, 1857–1866, https://doi.org/10.1038/s41591-023-02419-z, 2023. a
Bevacqua, E., Maraun, D., Vousdoukas, M. I., Voukouvalas, E., Vrac, M., Mentaschi, L., and Widmann, M.: Higher probability of compound flooding from precipitation and storm surge in Europe under anthropogenic climate change, Science Advances, 5, eaaw5531, https://doi.org/10.1126/sciadv.aaw5531, 2019. a, b, c, d
Bevacqua, E., Zappa, G., Lehner, F., and Zscheischler, J.: Precipitation trends determine future occurrences of compound hot–dry events, Nat. Clim. Change, 12, 350–355, https://doi.org/10.1038/s41558-022-01309-5, 2022. a, b
Bevacqua, E., Rakovec, O., Schumacher, D., Kumar, R., Thober, S., Samaniego, L., Seneviratne, S., and Zscheischler, J.: Direct and lagged climate change effects strongly intensified the widespread 2022 European drought, Nat. Geosci., 17, 1100–1107, https://doi.org/10.1038/s41561-024-01559-2, 2024a. a
Bevacqua, E., Schleussner, C.-F., and Zscheischler, J.: A year above 1.5 °C signals the onset of a 20-year period exceeding the Paris Agreement limit, Version 1, Research Square [preprint], https://doi.org/10.21203/rs.3.rs-4869407/v1, 2024b. a
Biella, R., Shyrokaya, A., Ionita, M., Vignola, R., Sutanto, S. J., Todorovic, A., Teutschbein, C., Cid, D., Llasat, M. C., Alencar, P., Matanó, A., Ridolfi, E., Moccia, B., Pechlivanidis, I., van Loon, A., Wendt, D. E., Stenfors, E., Russo, F., Vidal, J.-P., Barker, L., de Brito, M. M., Lam, M., Bláhová, M., Trambauer, P., Hamed, R., McGrane, S. J., Ceola, S., Bakke, S. J., Krakovska, S., Nagavciuc, V., Tootoonchi, F., Di Baldassarre, G., Hauswirth, S., Maskey, S., Zubkovych, S., Wens, M., and Tallaksen, L. M.: The 2022 drought needs to be a turning point for European drought risk management, Nat. Hazards Earth Syst. Sci., 25, 4475–4501, https://doi.org/10.5194/nhess-25-4475-2025, 2025. a
Blauhut, V., Stahl, K., Stagge, J. H., Tallaksen, L. M., De Stefano, L., and Vogt, J.: Estimating drought risk across Europe from reported drought impacts, drought indices, and vulnerability factors, Hydrol. Earth Syst. Sci., 20, 2779–2800, https://doi.org/10.5194/hess-20-2779-2016, 2016. a
Davison, A. C., Padoan, S. A., and Ribatet, M.: Statistical modeling of spatial extremes, Stat. Sci., 27, 161–186, https://doi.org/10.1214/11-STS376, 2012. a
Deutsch, C. A., Tewksbury, J. J., Huey, R. B., Sheldon, K. S., Ghalambor, C. K., Haak, D. C., and Martin, P. R.: Impacts of climate warming on terrestrial ectotherms across latitude, P. Natl. Acad. Sci. USA, 105, 6668–6672, https://doi.org/10.1073/pnas.0709472105, 2008. a
Diffenbaugh, N. S. and Scherer, M.: Observational and model evidence of global emergence of permanent, unprecedented heat in the 20th and 21st centuries: A letter, Climatic Change, 107, 615–624, https://doi.org/10.1007/s10584-011-0112-y, 2011. a
Faranda, D., Pascale, S., and Bulut, B.: Persistent anticyclonic conditions and climate change exacerbated the exceptional 2022 European-Mediterranean drought, Environ. Res. Lett., 18, 034030, https://doi.org/10.1088/1748-9326/acbc37, 2023. a
Favre, A., El Adlouni, S., Perreault, L., Thiémonge, N., and Bobée, B.: Multivariate hydrological frequency analysis using copulas, Water Resour. Res., 40, W01101, https://doi.org/10.1029/2003WR002456, 2004. a
Feser, F., van Garderen, L., and Hansen, F.: The Summer Heatwave 2022 over Western Europe: An Attribution to Anthropogenic Climate Change, B. Am. Meteorol. Soc., 105, E2175–E2179, https://doi.org/10.1175/BAMS-D-24-0017.1, 2024. a
Fischer, E. M. and Knutti, R.: Detection of spatially aggregated changes in temperature and precipitation extremes, Geophys. Res. Lett., 41, 547–554, https://doi.org/10.1002/2013GL058499, 2014. a
Frame, D., Joshi, M., Hawkins, E., Harrington, L. J., and de Roiste, M.: Population-based emergence of unfamiliar climates, Nat. Clim. Change, 7, 407–411, https://doi.org/10.1038/nclimate3297, 2017. a
Gaetani, M., Janicot, S., Vrac, M., Famien, A. M., and Sultan, B.: Robust assessment of the time of emergence of precipitation change in West Africa, Scientific Reports, 10, 7670, https://doi.org/10.1038/s41598-020-63782-2, 2020. a
Gharun, M., Shekhar, A., Xiao, J., Li, X., and Buchmann, N.: Effect of the 2022 summer drought across forest types in Europe, Biogeosciences, 21, 5481–5494, https://doi.org/10.5194/bg-21-5481-2024, 2024. a
Giorgi, F. and Bi, X.: Time of emergence (TOE) of GHG-forced precipitation change hot-spots, Geophys. Res. Lett., 36, L06709, https://doi.org/10.1029/2009GL037593, 2009. a
Hao, Z. and Singh, V. P.: Review of dependence modeling in hydrology and water resources, Progress in Physical Geography: Earth and Environment, 40, 549–578, https://doi.org/10.1177/0309133316632460, 2016. a, b
Hawkins, E. and Sutton, R.: Time of emergence of climate signals, Geophys. Res. Lett., 39, L01702, https://doi.org/10.1029/2011GL050087, 2012. a, b, c
Herrera-Lormendez, P., Douville, H., and Matschullat, J.: European Summer Synoptic Circulations and Their Observed 2022 and Projected Influence on Hot Extremes and Dry Spells, Geophys. Res. Lett., 50, e2023GL104580, https://doi.org/10.1029/2023GL104580, 2023. a
Hersbach, H., Bell, B., Berrisford, P., Hirahara, S., Horányi, A., Muñoz‐Sabater, J., Nicolas, J., Peubey, C., Radu, R., Schepers, D., Simmons, A., Soci, C., Abdalla, S., Abellan, X., Balsamo, G., Bechtold, P., Biavati, G., Bidlot, J., Bonavita, M., De Chiara, G., Dahlgren, P., Dee, D., Diamantakis, M., Dragani, R., Flemming, J., Forbes, R., Fuentes, M., Geer, A., Haimberger, L., Healy, S., Hogan, R. J., Hólm, E., Janisková, M., Keeley, S., Laloyaux, P., Lopez, P., Lupu, C., Radnoti, G., De Rosnay, P., Rozum, I., Vamborg, F., Villaume, S., and Thépaut, J.-N.: The ERA5 global reanalysis, Q. J. Roy. Meteor. Soc., 146, 1999–2049, https://doi.org/10.1002/qj.3803, 2020. a
Ionita, M. and Nagavciuc, V.: Changes in drought features at the European level over the last 120 years, Nat. Hazards Earth Syst. Sci., 21, 1685–1701, https://doi.org/10.5194/nhess-21-1685-2021, 2021. a, b, c, d
Joe, H.: Multivariate models and multivariate dependence concepts, CRC press, https://books.google.com/books?hl=fr&lr=&id=iJbRZL2QzMAC&oi=fnd&pg=PR15&dq=H.+Joe.+Multivariate+Models+and+Dependence+Concepts.+Chapman+and+Hall,+London,+1997.&ots=OMuM3AJcsT&sig=Hx8IeZe9TO1ruCoz2EOX4r2ttU8 (last access: 11 December 2025), 1997. a, b
Keller, K. M., Joos, F., and Raible, C. C.: Time of emergence of trends in ocean biogeochemistry, Biogeosciences, 11, 3647–3659, https://doi.org/10.5194/bg-11-3647-2014, 2014. a
King, A. D., Donat, M. G., Fischer, E. M., Hawkins, E., Alexander, L. V., Karoly, D. J., Dittus, A. J., Lewis, S. C., and Perkins, S. E.: The timing of anthropogenic emergence in simulated climate extremes, Environ. Res. Lett., 10, 094015, https://doi.org/10.1088/1748-9326/10/9/094015, 2015. a
Legrand, J., Ailliot, P., Naveau, P., and Raillard, N.: Joint stochastic simulation of extreme coastal and offshore significant wave heights, Ann. Appl. Stat., 17, 3363–3383, https://doi.org/10.1214/23-AOAS1766, 2023. a
Lesk, C., Anderson, W., Rigden, A., Coast, O., Jägermeyr, J., McDermid, S., Davis, K. F., and Konar, M.: Compound heat and moisture extreme impacts on global crop yields under climate change, Nature Reviews Earth & Environment, 3, 872–889, https://doi.org/10.1038/s43017-022-00368-8, 2022. a
Li, D., Chen, Y., Messmer, M., Zhu, Y., Feng, J., Yin, B., and Bevacqua, E.: Compound Wind and Precipitation Extremes Across the Indo-Pacific: Climatology, Variability, and Drivers, Geophys. Res. Lett., 49, e2022GL098594, https://doi.org/10.1029/2022GL098594, 2022. a, b
Lyu, K., Zhang, X., Church, J. A., Slangen, A. B., and Hu, J.: Time of emergence for regional sea-level change, Nat. Clim. Change, 4, 1006–1010, https://doi.org/10.1038/nclimate2397, 2014. a
Mahlstein, I., Knutti, R., Solomon, S., and Portmann, R. W.: Early onset of significant local warming in low latitude countries, Environ. Res. Lett., 6, 034009, https://doi.org/10.1088/1748-9326/6/3/034009, 2011. a, b
Mahlstein, I., Hegerl, G., and Solomon, S.: Emerging local warming signals in observational data, Geophys. Res. Lett., 39, 2012GL053952, https://doi.org/10.1029/2012GL053952, 2012. a, b
Mahony, C. R. and Cannon, A. J.: Wetter summers can intensify departures from natural variability in a warming climate, Nat. Commun., 9, 783, https://doi.org/10.1038/s41467-018-03132-z, 2018. a
Mahony, C. R., Cannon, A. J., Wang, T., and Aitken, S. N.: A closer look at novel climates: new methods and insights at continental to landscape scales, Glob. Change Biol., 23, 3934–3955, https://doi.org/10.1111/gcb.13645, 2017. a
Manning, C., Widmann, M., Bevacqua, E., Van Loon, A. F., Maraun, D., and Vrac, M.: Soil moisture drought in Europe: a compound event of precipitation and potential evapotranspiration on multiple time scales, J. Hydrometeorol., 19, 1255–1271, https://doi.org/10.1175/JHM-D-18-0017.1, 2018. a, b
McKee, T. B., Doesken, N. J., and Kleist, J.: The relationship of drought frequency and duration to time scales, in: Proceedings of the 8th Conference on Applied Climatology, California, 17, 179–183, https://climate.colostate.edu/pdfs/relationshipofdroughtfrequency.pdf (last access: 11 December 2025), 1993. a
Miralles, D. G., Teuling, A. J., Van Heerwaarden, C. C., and Vilà-Guerau de Arellano, J.: Mega-heatwave temperatures due to combined soil desiccation and atmospheric heat accumulation, Nat. Geosci., 7, 345–349, https://doi.org/10.1038/ngeo2141, 2014. a
Mishra, A. K. and Singh, V. P.: A review of drought concepts, J. Hydrol., 391, 202–216, https://doi.org/10.1016/j.jhydrol.2010.07.012, 2010. a
Murphy, C., Coen, A., Clancy, I., Decristoforo, V., Cathal, S., Healion, K., Horvath, C., Jessop, C., Kennedy, S., and Lavery, R.: The emergence of a climate change signal in long-term Irish meteorological observations, Weather and Climate Extremes, 42, 100608, https://doi.org/10.1016/j.wace.2023.100608, 2023. a
Nelsen, R. B.: An introduction to copulas, Springer series in statistics, Springer, New York, 2nd edn., ISBN 978-0-387-28659-4, 2006. a
Ossó, A., Allan, R. P., Hawkins, E., Shaffrey, L., and Maraun, D.: Emerging new climate extremes over Europe, Clim. Dynam., 58, 487–501, https://doi.org/10.1007/s00382-021-05917-3, 2022. a
Palmer, W. C.: Meteorological drought, Vol. 30, US Department of Commerce, Weather Bureau, https://books.google.com/books?hl=fr&lr=&id=kyYZgnEk-L8C&oi=fnd&pg=PR2&dq=Palmer,+W.+C.:+Meteorological+drought,+US+Research+Paper+No.+45,+US+Weather+Bureau,+Washington,+DC,+available&ots=U59tee_Ekm&sig=7Bss75df8ZPdXmIVoaOujobqMmM (last access: 11 December 2025), 1965. a
Pascal, M., Lagarrigue, R., Tabai, A., Bonmarin, I., Camail, S., Laaidi, K., Le Tertre, A., and Denys, S.: Evolving heat waves characteristics challenge heat warning systems and prevention plans, Int. J. Biometeorol., 65, 1683–1694, https://doi.org/10.1007/s00484-021-02123-y, 2021. a
Pohl, E., Grenier, C., Vrac, M., and Kageyama, M.: Emerging climate signals in the Lena River catchment: a non-parametric statistical approach, Hydrol. Earth Syst. Sci., 24, 2817–2839, https://doi.org/10.5194/hess-24-2817-2020, 2020. a
Quesada, B., Vautard, R., Yiou, P., Hirschi, M., and Seneviratne, S. I.: Asymmetric Europea summer heat predictability from wet and dry southern winters and springs, Nat. Clim. Change, 2, 736–741, https://doi.org/10.1038/nclimate1536, 2012. a
Ribeiro, A. F. S., Russo, A., Gouveia, C. M., Páscoa, P., and Zscheischler, J.: Risk of crop failure due to compound dry and hot extremes estimated with nested copulas, Biogeosciences, 17, 4815–4830, https://doi.org/10.5194/bg-17-4815-2020, 2020. a, b
Ridder, N. N., Ukkola, A. M., Pitman, A. J., and Perkins-Kirkpatrick, S. E.: Increased occurrence of high impact compound events under climate change, npj Climate and Atmospheric Science, 5, 3, https://doi.org/10.1038/s41612-021-00224-4, 2022. a, b
Rousi, E., Fink, A. H., Andersen, L. S., Becker, F. N., Beobide-Arsuaga, G., Breil, M., Cozzi, G., Heinke, J., Jach, L., Niermann, D., Petrovic, D., Richling, A., Riebold, J., Steidl, S., Suarez-Gutierrez, L., Tradowsky, J. S., Coumou, D., Düsterhus, A., Ellsäßer, F., Fragkoulidis, G., Gliksman, D., Handorf, D., Haustein, K., Kornhuber, K., Kunstmann, H., Pinto, J. G., Warrach-Sagi, K., and Xoplaki, E.: The extremely hot and dry 2018 summer in central and northern Europe from a multi-faceted weather and climate perspective, Nat. Hazards Earth Syst. Sci., 23, 1699–1718, https://doi.org/10.5194/nhess-23-1699-2023, 2023. a
Russo, A., Gouveia, C. M., Dutra, E., Soares, P. M. M., and Trigo, R. M.: The synergy between drought and extremely hot summers in the Mediterranean, Environ. Res. Lett., 14, 014011, https://doi.org/10.1088/1748-9326/aaf09e, 2019. a
Sadegh, M., Ragno, E., and AghaKouchak, A.: Multivariate Copula Analysis Toolbox (MvCAT): Describing dependence and underlying uncertainty using a Bayesian framework, Water Resour. Res., 53, 5166–5183, https://doi.org/10.1002/2016WR020242, 2017. a
Salvadori, G. and De Michele, C.: Frequency analysis via copulas: Theoretical aspects and applications to hydrological events, Water Resour. Res., 40, W12511, https://doi.org/10.1029/2004WR003133, 2004. a, b
San-Miguel-Ayanz, J., Durrant, T., Boca, R., Libertà, G., Branco, A., DE, R., Ferrari, D., Maianti, P., Artes, V. T., Pfeiffer, H., Loffler, P., Nuijten, D., Leray, T., and Jacome Felix Oom, D.: Forest Fires in Europe, Middle East and North Africa 2018, Publications Office of the European Union, Luxembourg, https://doi.org/10.2760/1128, 2019. a
Shan, B., Verhoest, N. E. C., and De Baets, B.: Identification of compound drought and heatwave events on a daily scale and across four seasons, Hydrol. Earth Syst. Sci., 28, 2065–2080, https://doi.org/10.5194/hess-28-2065-2024, 2024. a, b
Singh, H., Najafi, M. R., and Cannon, A. J.: Characterizing non-stationary compound extreme events in a changing climate based on large-ensemble climate simulations, Clim. Dynam., 56, 1389–1405, https://doi.org/10.1007/s00382-020-05538-2, 2021. a
Sklar, M.: Fonctions de répartition à N dimensions et leurs marges, Annales de l'ISUP, VIII, 229–231, Publications de l'Institut de Statistique de l'Université de Paris, https://hal.science/hal-04094463 (last access: 11 December 2025), 1959. a
Stott, P. A., Christidis, N., Otto, F. E. L., Sun, Y., Vanderlinden, J., Van Oldenborgh, G. J., Vautard, R., Von Storch, H., Walton, P., Yiou, P., and Zwiers, F. W.: Attribution of extreme weather and climate‐related events, WIREs Climate Change, 7, 23–41, https://doi.org/10.1002/wcc.380, 2016. a, b
Tavakol, A., Rahmani, V., and Harrington Jr., J.: Probability of compound climate extremes in a changing climate: A copula-based study of hot, dry, and windy events in the central United States, Environ. Res. Lett., 15, 104058, https://doi.org/10.1088/1748-9326/abb1ef, 2020. a
Tootoonchi, F., Sadegh, M., Haerter, J. O., Räty, O., Grabs, T., and Teutschbein, C.: Copulas for hydroclimatic analysis: A practice‐oriented overview, WIREs Water, 9, e1579, https://doi.org/10.1002/wat2.1579, 2022. a, b
Toreti, A., Belward, A., Perez‐Dominguez, I., Naumann, G., Luterbacher, J., Cronie, O., Seguini, L., Manfron, G., Lopez‐Lozano, R., Baruth, B., Van Den Berg, M., Dentener, F., Ceglar, A., Chatzopoulos, T., and Zampieri, M.: The Exceptional 2018 European Water Seesaw Calls for Action on Adaptation, Earth's Future, 7, 652–663, https://doi.org/10.1029/2019EF001170, 2019. a
Tripathy, K. P. and Mishra, A. K.: How Unusual Is the 2022 European Compound Drought and Heatwave Event?, Geophys. Res. Lett., 50, e2023GL105453, https://doi.org/10.1029/2023GL105453, 2023. a, b
Vicente-Serrano, S. M., Beguería, S., and López-Moreno, J. I.: A Multiscalar Drought Index Sensitive to Global Warming: The Standardized Precipitation Evapotranspiration Index, J. Climate, 23, 1696–1718, https://doi.org/10.1175/2009JCLI2909.1, 2010. a
Wang, R., Lü, G., Ning, L., Yuan, L., and Li, L.: Likelihood of compound dry and hot extremes increased with stronger dependence during warm seasons, Atmos. Res., 260, 105692, https://doi.org/10.1016/j.atmosres.2021.105692, 2021. a, b, c
Wilhite, D. A. and Glantz, M. H.: Understanding: the Drought Phenomenon: The Role of Definitions, Water Int., 10, 111–120, https://doi.org/10.1080/02508068508686328, 1985. a
Williams, J. W., Jackson, S. T., and Kutzbach, J. E.: Projected distributions of novel and disappearing climates by 2100 AD, P. Natl. Acad. Sci. USA, 104, 5738–5742, https://doi.org/10.1073/pnas.0606292104, 2007. a, b
Yue, S. and Rasmussen, P.: Bivariate frequency analysis: discussion of some useful concepts in hydrological application, Hydrol. Process., 16, 2881–2898, https://doi.org/10.1002/hyp.1185, 2002. a
Zscheischler, J. and Lehner, F.: Attributing Compound Events to Anthropogenic Climate Change, B. Am. Meteorol. Soc., 103, E936–E953, https://doi.org/10.1175/BAMS-D-21-0116.1, 2022. a
Zscheischler, J. and Seneviratne, S. I.: Dependence of drivers affects risks associated with compound events, Science Advances, 3, e1700263, https://doi.org/10.1126/sciadv.1700263, 2017. a, b, c
Zscheischler, J., Martius, O., Westra, S., Bevacqua, E., Raymond, C., Horton, R. M., van den Hurk, B., AghaKouchak, A., Jézéquel, A., and Mahecha, M. D.: A typology of compound weather and climate events, Nature Reviews Earth & Environment, 1, 333–347, https://doi.org/10.1038/s43017-020-0060-z, 2020. a, b, c
Short summary
In recent years, Europe has faced severe hot and dry events affecting biodiversity, agriculture, and health. Understanding past significant variation in their occurrence is key for adaptation. This paper identifies emerging hotspots in Europe and North Africa. Since the 1970s, the Iberian Peninsula, Maghreb, and Central Europe have seen more frequent events, driven by rising temperature maxima, while Eastern Europe has experienced a decline due to changes in drought.
In recent years, Europe has faced severe hot and dry events affecting biodiversity, agriculture,...
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