Articles | Volume 25, issue 11
https://doi.org/10.5194/nhess-25-4545-2025
© 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/nhess-25-4545-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Automated tail-informed threshold selection for extreme coastal sea levels
Thomas P. Collings
CORRESPONDING AUTHOR
Fathom, Floor 2, Clifton Heights, Clifton, Bristol BS8 1EJ, UK
Callum J. R. Murphy-Barltrop
Institut Für Mathematische Stochastik, Technische Universität Dresden, Dresden, Germany
Center for Scalable Data Analytics and Artificial Intelligence (ScaDS.AI), Dresden/Leipzig, Germany
Conor Murphy
School of Mathematical Sciences, Lancaster University, Lancaster, LA1 4YF, UK
Ivan D. Haigh
Fathom, Floor 2, Clifton Heights, Clifton, Bristol BS8 1EJ, UK
School of Ocean and Earth Science, University of Southampton, National Oceanography Centre, European Way, Southampton SO14 3ZH, UK
Paul D. Bates
Fathom, Floor 2, Clifton Heights, Clifton, Bristol BS8 1EJ, UK
School of Geographical Sciences, University of Bristol, Bristol BS8 1SS, UK
Niall D. Quinn
Fathom, Floor 2, Clifton Heights, Clifton, Bristol BS8 1EJ, UK
Related authors
Thomas P. Collings, Niall D. Quinn, Ivan D. Haigh, Joshua Green, Izzy Probyn, Hamish Wilkinson, Sanne Muis, William V. Sweet, and Paul D. Bates
Nat. Hazards Earth Syst. Sci., 24, 2403–2423, https://doi.org/10.5194/nhess-24-2403-2024, https://doi.org/10.5194/nhess-24-2403-2024, 2024
Short summary
Short summary
Coastal areas are at risk of flooding from rising sea levels and extreme weather events. This study applies a new approach to estimating the likelihood of coastal flooding around the world. The method uses data from observations and computer models to create a detailed map of where these coastal floods might occur. The approach can predict flooding in areas for which there are few or no data available. The results can be used to help prepare for and prevent this type of flooding.
Hung Nghia Nguyen, Quan Quan Le, Viet Dung Nguyen, Hai Dac Do, Hung Duc Pham, Tan Hong Cao, Toan Quang To, Melissa Wood, and Ivan D. Haigh
Nat. Hazards Earth Syst. Sci., 25, 4227–4246, https://doi.org/10.5194/nhess-25-4227-2025, https://doi.org/10.5194/nhess-25-4227-2025, 2025
Short summary
Short summary
The paper examines the inundation process in one of the most climate-vulnerable regions of the Vietnamese Mekong Delta (The Ca Mau Peninsula), highlighting its key drivers and future impacts. This serves as a critical alert for decision-makers and stakeholders, emphasizing the need for strategic investments in infrastructure, adaptation measures, and impact mitigation to address flood risk.
Stephen E. Darby, Ivan D. Haigh, Melissa Wood, Bui Duong, Tien Le Thuy Du, Thao Phuong Bui, Justin Sheffield, Hal Voepel, and Joël J.-M. Hirschi
EGUsphere, https://doi.org/10.5194/egusphere-2025-3506, https://doi.org/10.5194/egusphere-2025-3506, 2025
This preprint is open for discussion and under review for Natural Hazards and Earth System Sciences (NHESS).
Short summary
Short summary
We use model simulations to see what changes have been occurring to Mekong and Red River flows, 1970–2019, due to changes in tropical cyclone (TC)-linked precipitation. Results suggest that the highest river flows in multiple sub-catchments have been increasing over time, with coastal zones most intensely affected due to the combination of TC track and wet soils from prior rainfall. Climate change may exacerbate this TC-linked risk in the future making it a topic of strategic importance.
Joshua Green, Ivan D. Haigh, Niall Quinn, Jeff Neal, Thomas Wahl, Melissa Wood, Dirk Eilander, Marleen de Ruiter, Philip Ward, and Paula Camus
Nat. Hazards Earth Syst. Sci., 25, 747–816, https://doi.org/10.5194/nhess-25-747-2025, https://doi.org/10.5194/nhess-25-747-2025, 2025
Short summary
Short summary
Compound flooding, involving the combination or successive occurrence of two or more flood drivers, can amplify flood impacts in coastal/estuarine regions. This paper reviews the practices, trends, methodologies, applications, and findings of coastal compound flooding literature at regional to global scales. We explore the types of compound flood events, their mechanistic processes, and the range of terminology. Lastly, this review highlights knowledge gaps and implications for future practices.
Angélique Melet, Roderik van de Wal, Angel Amores, Arne Arns, Alisée A. Chaigneau, Irina Dinu, Ivan D. Haigh, Tim H. J. Hermans, Piero Lionello, Marta Marcos, H. E. Markus Meier, Benoit Meyssignac, Matthew D. Palmer, Ronja Reese, Matthew J. R. Simpson, and Aimée B. A. Slangen
State Planet, 3-slre1, 4, https://doi.org/10.5194/sp-3-slre1-4-2024, https://doi.org/10.5194/sp-3-slre1-4-2024, 2024
Short summary
Short summary
The EU Knowledge Hub on Sea Level Rise’s Assessment Report strives to synthesize the current scientific knowledge on sea level rise and its impacts across local, national, and EU scales to support evidence-based policy and decision-making, primarily targeting coastal areas. This paper complements IPCC reports by documenting the state of knowledge of observed and 21st century projected changes in mean and extreme sea levels with more regional information for EU seas as scoped with stakeholders.
Roderik van de Wal, Angélique Melet, Debora Bellafiore, Paula Camus, Christian Ferrarin, Gualbert Oude Essink, Ivan D. Haigh, Piero Lionello, Arjen Luijendijk, Alexandra Toimil, Joanna Staneva, and Michalis Vousdoukas
State Planet, 3-slre1, 5, https://doi.org/10.5194/sp-3-slre1-5-2024, https://doi.org/10.5194/sp-3-slre1-5-2024, 2024
Short summary
Short summary
Sea level rise has major impacts in Europe, which vary from place to place and in time, depending on the source of the impacts. Flooding, erosion, and saltwater intrusion lead, via different pathways, to various consequences for coastal regions across Europe. This causes damage to assets, the environment, and people for all three categories of impacts discussed in this paper. The paper provides an overview of the various impacts in Europe.
Melissa Wood, Ivan D. Haigh, Quan Quan Le, Hung Nghia Nguyen, Hoang Ba Tran, Stephen E. Darby, Robert Marsh, Nikolaos Skliris, and Joël J.-M. Hirschi
Nat. Hazards Earth Syst. Sci., 24, 3627–3649, https://doi.org/10.5194/nhess-24-3627-2024, https://doi.org/10.5194/nhess-24-3627-2024, 2024
Short summary
Short summary
We look at how compound flooding from the combination of river flooding and storm tides (storm surge and astronomical tide) may be changing over time due to climate change, with a case study of the Mekong River delta. We found that future compound flooding has the potential to flood the region more extensively and be longer lasting than compound floods today. This is useful to know because it means managers of deltas such as the Mekong can assess options for improving existing flood defences.
Jun Yu Puah, Ivan D. Haigh, David Lallemant, Kyle Morgan, Dongju Peng, Masashi Watanabe, and Adam D. Switzer
Ocean Sci., 20, 1229–1246, https://doi.org/10.5194/os-20-1229-2024, https://doi.org/10.5194/os-20-1229-2024, 2024
Short summary
Short summary
Coastal currents have wide implications for port activities, transport of sediments, and coral reef ecosystems; thus a deeper understanding of their characteristics is needed. We collected data on current velocities for a year using current meters at shallow waters in Singapore. The strength of the currents is primarily affected by tides and winds and generally increases during the monsoon seasons across various frequencies.
Thomas P. Collings, Niall D. Quinn, Ivan D. Haigh, Joshua Green, Izzy Probyn, Hamish Wilkinson, Sanne Muis, William V. Sweet, and Paul D. Bates
Nat. Hazards Earth Syst. Sci., 24, 2403–2423, https://doi.org/10.5194/nhess-24-2403-2024, https://doi.org/10.5194/nhess-24-2403-2024, 2024
Short summary
Short summary
Coastal areas are at risk of flooding from rising sea levels and extreme weather events. This study applies a new approach to estimating the likelihood of coastal flooding around the world. The method uses data from observations and computer models to create a detailed map of where these coastal floods might occur. The approach can predict flooding in areas for which there are few or no data available. The results can be used to help prepare for and prevent this type of flooding.
Leanne Archer, Jeffrey Neal, Paul Bates, Emily Vosper, Dereka Carroll, Jeison Sosa, and Daniel Mitchell
Nat. Hazards Earth Syst. Sci., 24, 375–396, https://doi.org/10.5194/nhess-24-375-2024, https://doi.org/10.5194/nhess-24-375-2024, 2024
Short summary
Short summary
We model hurricane-rainfall-driven flooding to assess how the number of people exposed to flooding changes in Puerto Rico under the 1.5 and 2 °C Paris Agreement goals. Our analysis suggests 8 %–10 % of the population is currently exposed to flooding on average every 5 years, increasing by 2 %–15 % and 1 %–20 % at 1.5 and 2 °C. This has implications for adaptation to more extreme flooding in Puerto Rico and demonstrates that 1.5 °C climate change carries a significant increase in risk.
Melissa Wood, Ivan D. Haigh, Quan Quan Le, Hung Nghia Nguyen, Hoang Ba Tran, Stephen E. Darby, Robert Marsh, Nikolaos Skliris, Joël J.-M. Hirschi, Robert J. Nicholls, and Nadia Bloemendaal
Nat. Hazards Earth Syst. Sci., 23, 2475–2504, https://doi.org/10.5194/nhess-23-2475-2023, https://doi.org/10.5194/nhess-23-2475-2023, 2023
Short summary
Short summary
We used a novel database of simulated tropical cyclone tracks to explore whether typhoon-induced storm surges present a future flood risk to low-lying coastal communities around the South China Sea. We found that future climate change is likely to change tropical cyclone behaviour to an extent that this increases the severity and frequency of storm surges to Vietnam, southern China, and Thailand. Consequently, coastal flood defences need to be reviewed for resilience against this future hazard.
Youtong Rong, Paul Bates, and Jeffrey Neal
Geosci. Model Dev., 16, 3291–3311, https://doi.org/10.5194/gmd-16-3291-2023, https://doi.org/10.5194/gmd-16-3291-2023, 2023
Short summary
Short summary
A novel subgrid channel (SGC) model is developed for river–floodplain modelling, allowing utilization of subgrid-scale bathymetric information while performing computations on relatively coarse grids. By including adaptive artificial diffusion, potential numerical instability, which the original SGC solver had, in low-friction regions such as urban areas is addressed. Evaluation of the new SGC model through structured tests confirmed that the accuracy and stability have improved.
Mohammad Kazem Sharifian, Georges Kesserwani, Alovya Ahmed Chowdhury, Jeffrey Neal, and Paul Bates
Geosci. Model Dev., 16, 2391–2413, https://doi.org/10.5194/gmd-16-2391-2023, https://doi.org/10.5194/gmd-16-2391-2023, 2023
Short summary
Short summary
This paper describes a new release of the LISFLOOD-FP model for fast and efficient flood simulations. It features a new non-uniform grid generator that uses multiwavelet analyses to sensibly coarsens the resolutions where the local topographic variations are smooth. Moreover, the model is parallelised on the graphical processing units (GPUs) to further boost computational efficiency. The performance of the model is assessed for five real-world case studies, noting its potential applications.
Ed Hawkins, Philip Brohan, Samantha N. Burgess, Stephen Burt, Gilbert P. Compo, Suzanne L. Gray, Ivan D. Haigh, Hans Hersbach, Kiki Kuijjer, Oscar Martínez-Alvarado, Chesley McColl, Andrew P. Schurer, Laura Slivinski, and Joanne Williams
Nat. Hazards Earth Syst. Sci., 23, 1465–1482, https://doi.org/10.5194/nhess-23-1465-2023, https://doi.org/10.5194/nhess-23-1465-2023, 2023
Short summary
Short summary
We examine a severe windstorm that occurred in February 1903 and caused significant damage in the UK and Ireland. Using newly digitized weather observations from the time of the storm, combined with a modern weather forecast model, allows us to determine why this storm caused so much damage. We demonstrate that the event is one of the most severe windstorms to affect this region since detailed records began. The approach establishes a new tool to improve assessments of risk from extreme weather.
Paul D. Bates, James Savage, Oliver Wing, Niall Quinn, Christopher Sampson, Jeffrey Neal, and Andrew Smith
Nat. Hazards Earth Syst. Sci., 23, 891–908, https://doi.org/10.5194/nhess-23-891-2023, https://doi.org/10.5194/nhess-23-891-2023, 2023
Short summary
Short summary
We present and validate a model that simulates current and future flood risk for the UK at high resolution (~ 20–25 m). We show that UK flood losses were ~ 6 % greater in the climate of 2020 compared to recent historical values. The UK can keep any future increase to ~ 8 % if all countries implement their COP26 pledges and net-zero ambitions in full. However, if only the COP26 pledges are fulfilled, then UK flood losses increase by ~ 23 %; and potentially by ~ 37 % in a worst-case scenario.
Yinxue Liu, Paul D. Bates, and Jeffery C. Neal
Nat. Hazards Earth Syst. Sci., 23, 375–391, https://doi.org/10.5194/nhess-23-375-2023, https://doi.org/10.5194/nhess-23-375-2023, 2023
Short summary
Short summary
In this paper, we test two approaches for removing buildings and other above-ground objects from a state-of-the-art satellite photogrammetry topography product, ArcticDEM. Our best technique gives a 70 % reduction in vertical error, with an average difference of 1.02 m from a benchmark lidar for the city of Helsinki, Finland. When used in a simulation of rainfall-driven flooding, the bare-earth version of ArcticDEM yields a significant improvement in predicted inundation extent and water depth.
Maria Pregnolato, Andrew O. Winter, Dakota Mascarenas, Andrew D. Sen, Paul Bates, and Michael R. Motley
Nat. Hazards Earth Syst. Sci., 22, 1559–1576, https://doi.org/10.5194/nhess-22-1559-2022, https://doi.org/10.5194/nhess-22-1559-2022, 2022
Short summary
Short summary
The interaction of flow, structure and network is complex, and yet to be fully understood. This study aims to establish rigorous practices of computational fluid dynamics (CFD) for modelling hydrodynamic forces on inundated bridges, and understanding the consequences of such impacts on the surrounding network. The objectives of this study are to model hydrodynamic forces as the demand on the bridge structure, to advance a structural reliability and network-level analysis.
Ahmed A. Nasr, Thomas Wahl, Md Mamunur Rashid, Paula Camus, and Ivan D. Haigh
Hydrol. Earth Syst. Sci., 25, 6203–6222, https://doi.org/10.5194/hess-25-6203-2021, https://doi.org/10.5194/hess-25-6203-2021, 2021
Short summary
Short summary
We analyse dependences between different flooding drivers around the USA coastline, where the Gulf of Mexico and the southeastern and southwestern coasts are regions of high dependence between flooding drivers. Dependence is higher during the tropical season in the Gulf and at some locations on the East Coast but higher during the extratropical season on the West Coast. The analysis gives new insights on locations, driver combinations, and the time of the year when compound flooding is likely.
Gang Zhao, Paul Bates, Jeffrey Neal, and Bo Pang
Hydrol. Earth Syst. Sci., 25, 5981–5999, https://doi.org/10.5194/hess-25-5981-2021, https://doi.org/10.5194/hess-25-5981-2021, 2021
Short summary
Short summary
Design flood estimation is a fundamental task in hydrology. We propose a machine- learning-based approach to estimate design floods anywhere on the global river network. This approach shows considerable improvement over the index-flood-based method, and the average bias in estimation is less than 18 % for 10-, 20-, 50- and 100-year design floods. This approach is a valid method to estimate design floods globally, improving our prediction of flood hazard, especially in ungauged areas.
Julia Rulent, Lucy M. Bricheno, J. A. Mattias Green, Ivan D. Haigh, and Huw Lewis
Nat. Hazards Earth Syst. Sci., 21, 3339–3351, https://doi.org/10.5194/nhess-21-3339-2021, https://doi.org/10.5194/nhess-21-3339-2021, 2021
Short summary
Short summary
High coastal total water levels (TWLs) can lead to flooding and hazardous conditions for coastal communities and environment. In this research we are using numerical models to study the interactions between the three main components of the TWL (waves, tides, and surges) on UK and Irish coasts during winter 2013/14. The main finding of this research is that extreme waves and surges can indeed happen together, even at high tide, but they often occurred simultaneously 2–3 h before high tide.
Samuel Tiéfolo Diabaté, Didier Swingedouw, Joël Jean-Marie Hirschi, Aurélie Duchez, Philip J. Leadbitter, Ivan D. Haigh, and Gerard D. McCarthy
Ocean Sci., 17, 1449–1471, https://doi.org/10.5194/os-17-1449-2021, https://doi.org/10.5194/os-17-1449-2021, 2021
Short summary
Short summary
The Gulf Stream and the Kuroshio are major currents of the North Atlantic and North Pacific, respectively. They transport warm water northward and are key components of the Earth climate system. For this study, we looked at how they affect the sea level of the coasts of Japan, the USA and Canada. We found that the inshore sea level
co-varies with the north-to-south shifts of the Gulf Stream and Kuroshio. In the paper, we discuss the physical mechanisms that could explain the agreement.
Georg Umgiesser, Marco Bajo, Christian Ferrarin, Andrea Cucco, Piero Lionello, Davide Zanchettin, Alvise Papa, Alessandro Tosoni, Maurizio Ferla, Elisa Coraci, Sara Morucci, Franco Crosato, Andrea Bonometto, Andrea Valentini, Mirko Orlić, Ivan D. Haigh, Jacob Woge Nielsen, Xavier Bertin, André Bustorff Fortunato, Begoña Pérez Gómez, Enrique Alvarez Fanjul, Denis Paradis, Didier Jourdan, Audrey Pasquet, Baptiste Mourre, Joaquín Tintoré, and Robert J. Nicholls
Nat. Hazards Earth Syst. Sci., 21, 2679–2704, https://doi.org/10.5194/nhess-21-2679-2021, https://doi.org/10.5194/nhess-21-2679-2021, 2021
Short summary
Short summary
The city of Venice relies crucially on a good storm surge forecast to protect its population and cultural heritage. In this paper, we provide a state-of-the-art review of storm surge forecasting, starting from examples in Europe and focusing on the Adriatic Sea and the Lagoon of Venice. We discuss the physics of storm surge, as well as the particular aspects of Venice and new techniques in storm surge modeling. We also give recommendations on what a future forecasting system should look like.
Peter Uhe, Daniel Mitchell, Paul D. Bates, Nans Addor, Jeff Neal, and Hylke E. Beck
Geosci. Model Dev., 14, 4865–4890, https://doi.org/10.5194/gmd-14-4865-2021, https://doi.org/10.5194/gmd-14-4865-2021, 2021
Short summary
Short summary
We present a cascade of models to compute high-resolution river flooding. This takes meteorological inputs, e.g., rainfall and temperature from observations or climate models, and takes them through a series of modeling steps. This is relevant to evaluating current day and future flood risk and impacts. The model framework uses global data sets, allowing it to be applied anywhere in the world.
Paula Camus, Ivan D. Haigh, Ahmed A. Nasr, Thomas Wahl, Stephen E. Darby, and Robert J. Nicholls
Nat. Hazards Earth Syst. Sci., 21, 2021–2040, https://doi.org/10.5194/nhess-21-2021-2021, https://doi.org/10.5194/nhess-21-2021-2021, 2021
Short summary
Short summary
In coastal regions, floods can arise through concurrent drivers, such as precipitation, river discharge, storm surge, and waves, which exacerbate the impact. In this study, we identify hotspots of compound flooding along the southern coast of the North Atlantic Ocean and the northern coast of the Mediterranean Sea. This regional assessment can be considered a screening tool for coastal management that provides information about which areas are more predisposed to experience compound flooding.
James Shaw, Georges Kesserwani, Jeffrey Neal, Paul Bates, and Mohammad Kazem Sharifian
Geosci. Model Dev., 14, 3577–3602, https://doi.org/10.5194/gmd-14-3577-2021, https://doi.org/10.5194/gmd-14-3577-2021, 2021
Short summary
Short summary
LISFLOOD-FP has been extended with new shallow-water solvers – DG2 and FV1 – for modelling all types of slow- or fast-moving waves over any smooth or rough surface. Using GPU parallelisation, FV1 is faster than the simpler ACC solver on grids with millions of elements. The DG2 solver is notably effective on coarse grids where river channels are hard to capture, improving predicted river levels and flood water depths. This marks a new step towards real-world DG2 flood inundation modelling.
Yasser Hamdi, Ivan D. Haigh, Sylvie Parey, and Thomas Wahl
Nat. Hazards Earth Syst. Sci., 21, 1461–1465, https://doi.org/10.5194/nhess-21-1461-2021, https://doi.org/10.5194/nhess-21-1461-2021, 2021
Oliver E. J. Wing, Andrew M. Smith, Michael L. Marston, Jeremy R. Porter, Mike F. Amodeo, Christopher C. Sampson, and Paul D. Bates
Nat. Hazards Earth Syst. Sci., 21, 559–575, https://doi.org/10.5194/nhess-21-559-2021, https://doi.org/10.5194/nhess-21-559-2021, 2021
Short summary
Short summary
Global flood models are difficult to validate. They generally output theoretical flood events of a given probability rather than an observed event that they can be tested against. Here, we adapt a US-wide flood model to enable the rapid simulation of historical flood events in order to more robustly understand model biases. For 35 flood events, we highlight the challenges of model validation amidst observational data errors yet evidence the increasing skill of large-scale models.
Cited articles
Amin, M.: On analysis and forecasting of surges on the west coast of Great Britain, Geophysical Journal International, 68, 79–94, https://doi.org/10.1111/j.1365-246X.1982.tb06963.x, 1982. a
Bader, B., Yan, J., and Zhang, X.: Automated threshold selection for extreme value analysis via ordered goodness-of-fit tests with adjustment for false discovery rate, Annals of Applied Statistics, 12, 310–329, https://doi.org/10.1214/17-AOAS1092, 2018. a
Balkema, A. A. and de Haan, L.: Residual Life Time at Great Age, The Annals of Probability, 2, 792–804, https://doi.org/10.1214/aop/1176996548, 1974. a
Behrens, C. N., Lopes, H. F., and Gamerman, D.: Bayesian analysis of extreme events with threshold estimation, Statistical modelling, 4, 227–244, https://doi.org/10.1191/1471082X04st075oa, 2004. a
Belzile, L., Dutang, C., Northrop, P., and Opitz, T.: A modeler's guide to extreme value software, Extremes, 26, 1–44, https://doi.org/10.1007/s10687-023-00475-9, 2023. a
Bernardara, P., Mazas, F., Weiss, J., Andreewsky, M., Kergadallan, X., Benoît, M., and Hamm, L.: On the two step threshold selection for over-threshold modelling, Coastal Engineering Proceedings, 1, management.42, https://doi.org/10.9753/icce.v33.management.42, 2012. a
Caballero-Megido, C., Hillier, J., Wyncoll, D., Bosher, L., and Gouldby, B.: Technical note: comparison of methods for threshold selection for extreme sea levels, Journal of Flood Risk Management, 11, 127–140, https://doi.org/10.1111/jfr3.12296, 2018. a
Chavez-Demoulin, V. and Davison, A. C.: Generalized additive modelling of sample extremes, Journal of the Royal Statistical Society: Series C (Applied Statistics), 54, 207–222, https://doi.org/10.1111/J.1467-9876.2005.00479.X, 2005. a
Chen, Q., Wang, L., and Tawes, R.: Hydrodynamic response of northeastern Gulf of Mexico to hurricanes, Estuaries and Coasts, 31, 1098–1116, https://doi.org/10.1007/s12237-008-9089-9, 2008. a
Choulakian, V. and Stephens, M. A.: Goodness-of-fit tests for the generalized Pareto distribution, Technometrics, 43, 478–484, https://doi.org/10.1198/00401700152672573, 2001. a
Coles, S. G. and Tawn, J. A.: Statistical Methods for Multivariate Extremes: An Application to Structural Design, Applied Statistics, 43, 1–48, https://doi.org/10.2307/2986112, 1994. a
Collings, T. P., Quinn, N. D., Haigh, I. D., Green, J., Probyn, I., Wilkinson, H., Muis, S., Sweet, W. V., and Bates, P. D.: Global application of a regional frequency analysis to extreme sea levels, Nat. Hazards Earth Syst. Sci., 24, 2403–2423, https://doi.org/10.5194/nhess-24-2403-2024, 2024. a
Curceac, S., Atkinson, P. M., Milne, A., Wu, L., and Harris, P.: An evaluation of automated GPD threshold selection methods for hydrological extremes across different scales, Journal of Hydrology, 585, https://doi.org/10.1016/J.JHYDROL.2020.124845, 2020. a, b
Danielsson, J., Ergun, L., de Haan, L., and de Vries, C. G.: Tail index estimation: quantile-driven threshold selection, Staff Working Papers 19–28, Bank of Canada, https://doi.org/10.34989/swp-2019-28, 2019. a
D'Arcy, E., Tawn, J. A., Joly, A., and Sifnioti, D. E.: Accounting for seasonality in extreme sea-level estimation, The Annals of Applied Statistics, 17, 3500–3525, https://doi.org/10.1214/23-AOAS1773, 2023. a, b
Davison, A. C. and Smith, R. L.: Models for Exceedances Over High Thresholds, Journal of the Royal Statistical Society. Series B: Statistical Methodology, 52, 393–425, https://doi.org/10.1111/j.2517-6161.1990.tb01796.x, 1990. a, b, c
de Carvalho, M. and Davison, A. C.: Spectral density ratio models for multivariate extremes, Journal of the American Statistical Association, 109, 764–776, https://doi.org/10.1080/01621459.2013.872651, 2014. a
Dong, X., Zhang, S., Zhou, J., Cao, J., Jiao, L., Zhang, Z., and Liu, Y.: Magnitude and frequency of temperature and precipitation extremes and the associated atmospheric circulation patterns in the Yellow River basin (1960–2017), China, Water, 11, 2334, https://doi.org/10.3390/w11112334, 2019. a
Dupuis, D.: Exceedances over High Thresholds: A Guide to Threshold Selection, Extremes, 1, 251–261, https://doi.org/10.1023/A:1009914915709, 1999. a
Durocher, M., Mostofi Zadeh, S., Burn, D. H., and Ashkar, F.: Comparison of automatic procedures for selecting flood peaks over threshold based on goodness-of-fit tests, Hydrological Processes, 32, 2874–2887, https://doi.org/10.1002/hyp.13223, 2018. a, b
Eastoe, E. F. and Tawn, J. A.: Modelling non-stationary extremes with application to surface level ozone, Journal of the Royal Statistical Society. Series C: Applied Statistics, 58, 25–45, https://doi.org/10.1111/j.1467-9876.2008.00638.x, 2009. a
Gomes, M. I. and Guillou, A.: Extreme Value Theory and Statistics of Univariate Extremes: A Review, International Statistical Review, 83, 263–292, https://doi.org/10.1111/INSR.12058, 2015. a
Groll, N., Gaslikova, L., and Weisse, R.: Recent Baltic Sea storm surge events from a climate perspective, Nat. Hazards Earth Syst. Sci., 25, 2137–2154, https://doi.org/10.5194/nhess-25-2137-2025, 2025. a
Haigh, I. D., Wadey, M. P., Wahl, T., Ozsoy, O., Nicholls, R. J., Brown, J. M., Horsburgh, K., and Gouldby, B.: Spatial and temporal analysis of extreme sea level and storm surge events around the coastline of the UK, Scientific Data, 3, 1–14, https://doi.org/10.1038/sdata.2016.107, 2016. a
Haigh, I. D., Marcos, M., Talke, S. A., Woodworth, P. L., Hunter, J. R., Hague, B. S., Arns, A., Bradshaw, E., and Thompson, P.: GESLA Version 3: A major update to the global higher-frequency sea-level dataset, Geoscience Data Journal, 10, 293–314, https://doi.org/10.1002/gdj3.174, 2023. a, b
Heffernan, J. E. and Tawn, J. A.: A conditional approach for multivariate extreme values, Journal of the Royal Statistical Society. Series B: Statistical Methodology, 66, 497–546, https://doi.org/10.1111/j.1467-9868.2004.02050.x, 2004. a
Hiles, C. E., Robertson, B., and Buckham, B. J.: Extreme wave statistical methods and implications for coastal analyses, Estuarine, Coastal and Shelf Science, 223, 50–60, https://doi.org/10.1016/j.ecss.2019.04.010, 2019. a
Jonathan, P., Ewans, K., and Flynn, J.: On the estimation of ocean engineering design contours, Journal of Offshore Mechanics and Arctic Engineering, 136, 1–8, https://doi.org/10.1115/1.4027645, 2014. a
Keef, C., Tawn, J. A., and Lamb, R.: Estimating the probability of widespread flood events, Environmetrics, 24, 13–21, https://doi.org/10.1002/env.2190, 2013. a
Ledford, A. W. and Tawn, J. A.: Statistics for near independence in multivariate extreme values, Biometrika, 83, 169–187, https://doi.org/10.1093/biomet/83.1.169, 1996. a
Li, Y., Cai, W., and Campbell, E.: Statistical modeling of extreme rainfall in southwest Western Australia, Journal of Climate, 18, 852–863, https://doi.org/10.1175/JCLI-3296.1, 2005. a
Mackay, E. and Jonathan, P.: Assessment of return value estimates from stationary and non-stationary extreme value models, Ocean Engineering, 207, 107406, https://doi.org/10.1016/j.oceaneng.2020.107406, 2020. a
Moftakhari, H. R., AghaKouchak, A., Sanders, B. F., Allaire, M., and Matthew, R. A.: What Is Nuisance Flooding? Defining and Monitoring an Emerging Challenge, Water Resources Research, 54, 4218–4227, https://doi.org/10.1029/2018WR022828, 2018. a
Murphy-Barltrop, C.: ONR-RRR-079, Tech. rep., Office for Nuclear Regulation, https://www.onr.org.uk/publications/regulatory-reports/research/research-reports/onr-rrr-079 (last access: 20 January 2025), 2023. a
Murphy-Barltrop, C. and Collings, T.: callumbarltrop/TAILS: TAILS v1.0.0 (TAILS_v1.0.0), Zenodo [code], https://doi.org/10.5281/zenodo.17361883, 2025. a
Murphy-Barltrop, C. and Wadsworth, J.: Modelling non-stationarity in asymptotically independent extremes, Computational Statistics & Data Analysis, 199, 108025, https://doi.org/10.1016/j.csda.2024.108025, 2024. a
Northrop, P. J. and Coleman, C. L.: Improved threshold diagnostic plots for extreme value analyses, Extremes, 17, 289–303, https://doi.org/10.1007/s10687-014-0183-z, 2014. a
Northrop, P. J., Attalides, N., and Jonathan, P.: Cross-validatory extreme value threshold selection and uncertainty with application to ocean storm severity, Journal of the Royal Statistical Society. Series C: Applied Statistics, 66, 93–120, https://doi.org/10.1111/RSSC.12159, 2017. a, b
Olbert, A. I. and Hartnett, M.: Storms and surges in Irish coastal waters, Ocean Modelling, 34, 50–62, https://doi.org/10.1016/j.ocemod.2010.04.004, 2010. a
Padoan, S. A., Ribatet, M., and Sisson, S. A.: Likelihood-based inference for max-stable processes, Journal of the American Statistical Association, 105, 263–277, https://doi.org/10.1198/jasa.2009.tm08577, 2010. a
Pan, X. and Rahman, A.: Comparison of annual maximum and peaks-over-threshold methods with automated threshold selection in flood frequency analysis: a case study for Australia, Natural Hazards, 111, 1219–1244, https://doi.org/10.1007/s11069-021-05092-y, 2022. a
Pickands, J.: Statistical Inference Using Extreme Order Statistics, The Annals of Statistics, 3, 119–131, https://doi.org/10.1214/aos/1176343003, 1975. a
Powell, E.: Hurricane Helene Post-Storm Summary Report, https://climatecenter.fsu.edu/images/docs/Hurricane-Helene-Summary-Report.pdf (last access: 7 January 2025), 2024a. a
Powell, E.: Post-Storm Summary Report on Hurricane Milton, https://climatecenter.fsu.edu/images/docs/Hurricane-Milton-Report.pdf, (last access: 7 January 2025), 2024b. a
Quinn, N., Bates, P. D., Neal, J., Smith, A., Wing, O., Sampson, C., Smith, J., and Heffernan, J.: The Spatial Dependence of Flood Hazard and Risk in the United States, Water Resources Research, 55, 1890–1911, https://doi.org/10.1029/2018WR024205, 2019. a
Scarrott, C. and MacDonald, A.: A review of extreme value threshold estimation and uncertainty quantification, Revstat Statistical Journal, 10, 33–60, https://doi.org/10.57805/revstat.v10i1.110, 2012. a
Sigauke, C. and Bere, A.: Modelling non-stationary time series using a peaks over threshold distribution with time varying covariates and threshold: An application to peak electricity demand, Energy, 119, 152–166, https://doi.org/10.1016/J.ENERGY.2016.12.027, 2017. a
Sinclair, C., Spurr, B., and Ahmad, M.: Modified anderson darling test, Communications in Statistics – Theory and Methods, 19, 3677–3686, https://doi.org/10.1080/03610929008830405, 1990. a, b
Solari, S., Egüen, M., Polo, M. J., and Losada, M. A.: Peaks Over Threshold (POT): A methodology for automatic threshold estimation using goodness of fit p-value, Water Resources Research, 53, 2833–2849, https://doi.org/10.1002/2016WR019426, 2017. a, b, c, d
Sweet, W. V., Dusek, G., Obeysekera, J., and Marra, J. J.: Patterns and Projections of High Tide Flooding Along the U.S. Coastline Using a Common Impact Threshold, Tech. rep., National Oceanic and Atmospheric Administration, https://www.tidesandcurrents.noaa.gov/publications/techrpt86_PaP_of_HTFlooding.pdf (last access: 10 March 2025), 2018. a
Sweet, W. V., Genz, A. S., Obeysekera, J., and Marra, J. J.: A regional frequency analysis of tide gauges to assess Pacific coast flood risk, Frontiers in Marine Science, 7, 1–15, https://doi.org/10.3389/fmars.2020.581769, 2020. a
Tancredi, A., Anderson, C., and O'Hagan, A.: Accounting for threshold uncertainty in extreme value estimation, Extremes, 9, 87–106, https://doi.org/10.1007/s10687-006-0009-8, 2006. a
Tawn, J. A.: Modelling multivariate extreme value distributions, Biometrika, 77, 245–253, https://doi.org/10.1093/biomet/77.2.245, 1990. a
Varty, Z., Tawn, J. A., Atkinson, P. M., and Bierman, S.: Inference for extreme earthquake magnitudes accounting for a time-varying measurement process, arXiv [preprint], https://doi.org/10.48550/arXiv.2102.00884, 2021. a, b
Wadsworth, J. and Tawn, J.: Higher-dimensional spatial extremes via single-site conditioning, Spatial Statistics, 51, 100677, https://doi.org/10.1016/j.spasta.2022.100677, 2022. a
Wadsworth, J. L.: Exploiting structure of maximum likelihood estimators for extreme value threshold selection, Technometrics, 58, 116–126, https://doi.org/10.1080/00401706.2014.998345, 2016. a
Wadsworth, J. L. and Tawn, J. A.: Likelihood-based procedures for threshold diagnostics and uncertainty in extreme value modelling, Journal of the Royal Statistical Society: Series B, 74, 543–567, https://doi.org/10.1111/j.1467-9868.2011.01017.x, 2012. a
Wasserstein, R. L. and Lazar, N. A.: The ASA Statement on p-Values: Context, Process, and Purpose, The American Statistician, 70, 129–133, https://doi.org/10.1080/00031305.2016.1154108, 2016. a
Wing, O. E., Quinn, N., Bates, P. D., Neal, J. C., Smith, A. M., Sampson, C. C., Coxon, G., Yamazaki, D., Sutanudjaja, E. H., and Alfieri, L.: Toward Global Stochastic River Flood Modeling, Water Resources Research, 56, https://doi.org/10.1029/2020WR027692, 2020. a
Youngman, B. D.: Generalized Additive Models for Exceedances of High Thresholds With an Application to Return Level Estimation for U.S. Wind Gusts, Journal of the American Statistical Association, 114, 1865–1879, https://doi.org/10.1080/01621459.2018.1529596, 2019. a
Zachry, B. C., Booth, W. J., Rhome, J. R., and Sharon, T. M.: A National View of Storm Surge Risk and Inundation, Weather, Climate, and Society, 7, 109–117, https://doi.org/10.1175/WCAS-D-14-00049.1, 2015. a
Zhao, F., Lange, S., Goswami, B., and Frieler, K.: Frequency bias causes overestimation of climate change impacts on global flood occurrence, Geophysical Research Letters, 51, e2024GL108855, https://doi.org/10.1029/2024GL108855, 2024. a
Short summary
Determining the threshold above which events are considered extreme is an important consideration for many modelling procedures. We propose an extension of an existing data-driven method for automatic threshold selection. We test our approach on tide gauge records, and show that it outperforms existing techniques. This helps improve estimates of extreme sea levels, and we hope other researchers will use this method for other natural hazards.
Determining the threshold above which events are considered extreme is an important...
Altmetrics
Final-revised paper
Preprint