A metastatistical frequency analysis of extreme storm surge hazard along the US coastline

References

• Alaya, MA Ben, F. W. Zwiers, and X. Zhang. 2021. “On Estimating Long Period Wind Speed Return Levels from Annual Maxima.” Weather and Climate Extremes 34:100388. https://doi.org/10.1016/j.wace.2021.100388.
   Web of Science ®Google Scholar
• Basso, Stefano, Gianluca Botter, Ralf Merz, and Arianna Miniussi. 2021. “PHEV! The PHysically-Based Extreme Value Distribution of River Flows.” Environmental Research Letters 16 (12): 124065. https://doi.org/10.1088/1748-9326/ac3d59
   Web of Science ®Google Scholar
• Beck, Christian, and Ezechiel GD Cohen. 2003. “Superstatistics.” Physica A: Statistical Mechanics and Its Applications 322:267–275. https://doi.org/10.1016/S0378-4371(03)00019-0
   Web of Science ®Google Scholar
• Bernardara, P, F. Mazas, X. Kergadallan, and L. Hamm. 2014. “A Two-Step Framework for Over-Threshold Modelling of Environmental Extremes.” Natural Hazards and Earth System Sciences 14 (3): 635–647. https://doi.org/10.5194/nhess-14-635-2014
   Web of Science ®Google Scholar
• Bernier, N. B, and K. R. Thompson. 2006. “Predicting the Frequency of Storm Surges and Extreme Sea Levels in the Northwest Atlantic.” Journal of Geophysical Research Oceans 111 (C10): 111 (C10. https://doi.org/10.1029/2005JC003168
   Web of Science ®Google Scholar
• Boumis, Georgios, Hamed R Moftakhari, and Hamid Moradkhani. 2023a. “Coevolution of Extreme Sea Levels and Sea-Level Rise Under Global Warming.” Earth’s Future 11 (7): e2023EF003649. https://doi.org/10.1029/2023EF003649
   Web of Science ®Google Scholar
• Boumis, Georgios, Hamed R Moftakhari, and Hamid Moradkhani. 2023b. “Storm Surge Hazard Estimation Along the US Gulf Coast: A Bayesian Hierarchical Approach.” Coastal Engineering 185:104371. https://doi.org/10.1016/j.coastaleng.2023.104371
   Web of Science ®Google Scholar
• Caruso, Maria Francesca, and Marco Marani. 2022. “Extreme-Coastal-Water-Level Estimation and Projection: A Comparison of Statistical Methods.” Natural Hazards and Earth System Sciences 22 (3): 1109–1128. https://doi.org/10.5194/nhess-22-1109-2022
   Web of Science ®Google Scholar
• Cid, Alba, Melisa Menéndez, Sonia Castanedo, Ana J Abascal, Fernando J Méndez, and Raúl Medina. 2016. “Long-Term Changes in the Frequency, Intensity and Duration of Extreme Storm Surge Events in Southern Europe.” Climate Dynamics 46 (5): 1503–1516. https://doi.org/10.1007/s00382-015-2659-1
   Web of Science ®Google Scholar
• Cid, Alba, Thomas Wahl, Don P Chambers, and Sanne Muis. 2018. “Storm Surge Reconstruction and Return Water Level Estimation in Southeast Asia for the 20th Century.” Journal of Geophysical Research Oceans 123 (1): 437–451. https://doi.org/10.1002/2017JC013143
   Web of Science ®Google Scholar
• Coles, Stuart. 2001. An Introduction to Statistical Modeling of Extreme Values. Vol. 208. London: Springer.
   Google Scholar
• Coles, Stuart G, and Jonathan A Tawn. 1994. “Statistical Methods for Multivariate Extremes: An Application to Structural Design.” Journal of the Royal Statistical Society: Series C (Applied Statistics) 43 (1): 1–31. https://doi.org/10.2307/2986112
   Web of Science ®Google Scholar
• Collaud Coen, M, Elisabeth Andrews Martine, Alessandro Bigi, Giovanni Martucci, Gonzague Romanens, Frédéric Vogt, and Laurent Vuilleumier. 2020. “Effects of the Prewhitening Method, the Time Granularity, and the Time Segmentation on the Mann–Kendall Trend Detection and the Associated Sen’s Slope.” Atmospheric measurement techniques 13 (12): 6945–6964. https://doi.org/10.5194/amt-13-6945-2020
   Web of Science ®Google Scholar
• Davison, Anthony C, and Richard L Smith. 1990. “Models for Exceedances Over High Thresholds.” Journal of the Royal Statistical Society: Series B (Methodological) 52 (3): 393–425. https://doi.org/10.1111/j.2517-6161.1990.tb01796.x
   Google Scholar
• De Haan, Laurens, and Ana Ferreira. 2006. Extreme Value Theory: An Introduction. Vol. 21. New York: Springer.
   Google Scholar
• Delignette-Muller, Marie Laure, and Christophe Dutang. 2015. “Fitdistrplus: An R Package for Fitting Distributions.” Journal of Statistical Software 64 (4): 1–34. https://doi.org/10.18637/jss.v064.i04
   Web of Science ®Google Scholar
• D’Onofrio, Enrique E, Mónica ME Fiore, and Jorge L Pousa. 2008. “Changes in the Regime of Storm Surges at Buenos Aires, Argentina.” Journal of Coastal Research 24 (10024): 260–265. https://doi.org/10.2112/05-0588.1
   Google Scholar
• D’Onofrio, Enrique E, Monica ME Fiore, and Silvia I Romero. 1999. “Return Periods of Extreme Water Levels Estimated for Some Vulnerable Areas of Buenos Aires.” Continental Shelf Research 19 (13): 1681–1693. https://doi.org/10.1016/S0278-4343(98)00115-0
   Web of Science ®Google Scholar
• Emmanouil, Stergios, Andreas Langousis, Efthymios I Nikolopoulos, and Emmanouil N Anagnostou. 2020. “Quantitative Assessment of Annual Maxima, Peaks-Over-Threshold and Multifractal Parametric Approaches in Estimating Intensity-Duration-Frequency Curves from Short Rainfall Records.” Journal of Hydrology 589:125151. https://doi.org/10.1016/j.jhydrol.2020.125151
   Web of Science ®Google Scholar
• Fawad, Muhammad, Ting Yan, Lu Chen, Kangdi Huang, and Vijay P Singh. 2019. “Multiparameter Probability Distributions for At-Site Frequency Analysis of Annual Maximum Wind Speed with L-Moments for Parameter Estimation.” Energy 181:724–737. https://doi.org/10.1016/j.energy.2019.05.153
   Web of Science ®Google Scholar
• Fukutome, Sophie, M. A. Liniger, and M. Süveges. 2015. “Automatic Threshold and Run Parameter Selection: A Climatology for Extreme Hourly Precipitation in Switzerland.” Theoretical and Applied Climatology 120 (3): 403–416. https://doi.org/10.1007/s00704-014-1180-5
   Web of Science ®Google Scholar
• Greenwood, J Arthur, J. Maciunas Landwehr, Nicolas C Matalas, and James R Wallis. 1979. “Probability Weighted Moments: Definition and Relation to Parameters of Several Distributions Expressable in Inverse Form.” Water Resources Research 15 (5): 1049–1054. https://doi.org/10.1029/WR015i005p01049
   Web of Science ®Google Scholar
• Haigh, Ivan D, Marta Marcos, Stefan A Talke, Philip L Woodworth, John R Hunter, Ben S Haugh, Arne Arns, Elizabeth Bradshaw, and Phil Thompson. 2023. “GESLA Version 3: A Major Update to the Global Higher-Frequency Sea-Level Dataset.” Geoscience Data Journal 10 (3): 293–314.https://doi.org/10.1002/gdj3.174
   Web of Science ®Google Scholar
• Hamdi, Y, L. Bardet, C.-M. Duluc, and V. Rebour. 2014. “Extreme Storm Surges: A Comparative Study of Frequency Analysis Approaches.” Natural Hazards and Earth System Sciences 14 (8): 2053–2067. https://doi.org/10.5194/nhess-14-2053-2014
   Web of Science ®Google Scholar
• Hanel, Martin, and T. Adri Buishand. 2010. “On the Value of Hourly Precipitation Extremes in Regional Climate Model Simulations.” Journal of Hydrology 393 (3–4): 265–273. https://doi.org/10.1016/j.jhydrol.2010.08.024
   Web of Science ®Google Scholar
• Hawkes, Peter J, Daniel Gonzalez-Marco, Agustin Sánchez-Arcilla, and Panayotis Prinos. 2008. “Best Practice for the Estimation of Extremes: A Review.” Journal of Hydraulic Research 46 (S2): 324–332. https://doi.org/10.1080/00221686.2008.9521965
   Web of Science ®Google Scholar
• Hosking, Jonathan RM 1990. “L-Moments: Analysis and Estimation of Distributions Using Linear Combinations of Order Statistics.” Journal of the Royal Statistical Society: Series B (Methodological) 52 (1): 105–124. https://doi.org/10.1111/j.2517-6161.1990.tb01775.x
   Web of Science ®Google Scholar
• Hosking, Jonathan Richard Morley, James R Wallis, and Eric F Wood. 1985. “Estimation of the Generalized Extreme-Value Distribution by the Method of Probability-Weighted Moments.” Technometrics 27 (3): 251–261. https://doi.org/10.1080/00401706.1985.10488049
   Web of Science ®Google Scholar
• Hosseini, S. R, M. Scaioni, and M. Marani. 2020. “Extreme Atlantic Hurricane Probability of Occurrence Through the Metastatistical Extreme Value Distribution.” Geophysical Research Letters 47 (1): 2019GL086138. https://doi.org/10.1029/2019GL086138
   Web of Science ®Google Scholar
• Huang, Wenrui, Sudong Xu, and Soro Nnaji. 2008. “Evaluation of GEV Model for Frequency Analysis of Annual Maximum Water Levels in the Coast of United States.” Ocean Engineering 35 (11–12): 1132–1147. https://doi.org/10.1016/j.oceaneng.2008.04.010
   Web of Science ®Google Scholar
• Klotzbach, Philip J, Steven G Bowen, Roger Pielke, and Michael Bell. 2018. “Continental US Hurricane Landfall Frequency and Associated Damage: Observations and Future Risks.” Bulletin of the American Meteorological Society 99 (7): 1359–1376. https://doi.org/10.1175/BAMS-D-17-0184.1
   Web of Science ®Google Scholar
• Kulp, Scott A, and Benjamin H Strauss. 2019. “New Elevation Data Triple Estimates of Global Vulnerability to Sea-Level Rise and Coastal Flooding.” Nature communications 10 (1): 1–12. https://doi.org/10.1038/s41467-019-12808-z
   PubMedGoogle Scholar
• Langousis, Andreas, Antonios Mamalakis, Michelangelo Puliga, and Roberto Deidda. 2016. “Threshold Detection for the Generalized Pareto Distribution: Review of Representative Methods and Application to the NOAA NCDC Daily Rainfall Database.” Water Resources Research 52 (4): 2659–2681. https://doi.org/10.1002/2015WR018502
   Web of Science ®Google Scholar
• Lin, Ning, and Kerry Emanuel. 2016. “Grey Swan Tropical Cyclones.” Nature Climate Change 6 (1): 106–111. https://doi.org/10.1038/nclimate2777
   Web of Science ®Google Scholar
• Makkonen, Lasse 2008. “Problems in the Extreme Value Analysis.” Structural safety 30 (5): 405–419. https://doi.org/10.1016/j.strusafe.2006.12.001
   Web of Science ®Google Scholar
• Mann, Henry B 1945. “Nonparametric Tests Against Trend.” Econometrica: Journal of the Econometric Society 13 (3): 245–259. https://doi.org/10.2307/1907187
   Web of Science ®Google Scholar
• Marani, Marco, and Massimiliano Ignaccolo. 2015. “A Metastatistical Approach to Rainfall Extremes.” Advances in Water Resources 79:121–126. https://doi.org/10.1016/j.advwatres.2015.03.001
   Web of Science ®Google Scholar
• Marani, Marco, and Enrico Zorzetto. 2019. “Doubly Stochastic Distributions of Extreme Events.” arXiv preprint arXiv:1902.09862 1902 (09862): 1–8. https://doi.org/10.48550/arXiv.1902.09862
   Google Scholar
• Marra, Francesco, Efthymios I Nikolopoulos, Emmanouil N Anagnostou, and Efrat Morin. 2018. “Metastatistical Extreme Value Analysis of Hourly Rainfall from Short Records: Estimation of High Quantiles and Impact of Measurement Errors.” Advances in Water Resources 117:27–39. https://doi.org/10.1016/j.advwatres.2018.05.001
   Web of Science ®Google Scholar
• Martins, Eduardo S, and Jery R Stedinger. 2000. “Generalized Maximum-Likelihood Generalized Extreme-Value Quantile Estimators for Hydrologic Data.” Water Resources Research 36 (3): 737–744. https://doi.org/10.1029/1999WR900330
   Web of Science ®Google Scholar
• Menéndez, Melisa, and Philip L Woodworth. 2010. “Changes in Extreme High Water Levels Based on a Quasi-Global Tide-Gauge Data Set.” Journal of Geophysical Research Oceans 115 (C10): 115 (C10. https://doi.org/10.1029/2009JC005997
   Google Scholar
• Miniussi, Arianna, Marco Marani, and Gabriele Villarini. 2020. “Metastatistical Extreme Value Distribution Applied to Floods Across the Continental United States.” Advances in Water Resources 136:103498. https://doi.org/10.1016/j.advwatres.2019.103498
   Web of Science ®Google Scholar
• Mushtaq, Sumra, Arianna Miniussi, Ralf Merz, and Stefano Basso. 2022. “Reliable Estimation of High Floods: A Method to Select the Most Suitable Ordinary Distribution in the Metastatistical Extreme Value Framework.” Advances in Water Resources 161:104127. https://doi.org/10.1016/j.advwatres.2022.104127
   Web of Science ®Google Scholar
• Nasr, Ahmed A, Thomas Wahl, Md Mamunur Rashid, Paula Camus, and Ivan D Haigh. 2021. “Assessing the Dependence Structure Between Oceanographic, Fluvial, and Pluvial Flooding Drivers Along the United States Coastline.” Hydrology and Earth System Sciences 25 (12): 6203–6222. https://doi.org/10.5194/hess-25-6203-2021
   Web of Science ®Google Scholar
• Needham, Hal F, and Barry D Keim. 2012. “A Storm Surge Database for the US Gulf Coast.” International Journal of Climatology 32 (14): 2108–2123. https://doi.org/10.1002/joc.2425
   Web of Science ®Google Scholar
• Needham, Hal F, and Barry D Keim. 2014. “An Empirical Analysis on the Relationship Between Tropical Cyclone Size and Storm Surge Heights Along the US Gulf Coast.” Earth Interactions 18 (8): 1–15. https://doi.org/10.1175/2013EI000558.1
   Google Scholar
• Neumann, Barbara, Athanasios T Vafeidis, Juliane Zimmermann, Robert J Nicholls, and L. Kumar. 2015. “Future Coastal Population Growth and Exposure to Sea-Level Rise and Coastal Flooding-A Global Assessment.” PLoS ONE 10 (3): e0118571. https://doi.org/10.1371/journal.pone.0118571
   PubMed Web of Science ®Google Scholar
• Pugh, David, and Philip Woodworth. 2014. Sea-Level Science: Understanding Tides, Surges, Tsunamis and Mean Sea-Level Changes. Cambridge: Cambridge University Press.
   Google Scholar
• Rashid, Md Mamunur, Hamed Moftakhari, and Hamid Moradkhani. 2024. “Stochastic Simulation of Storm Surge Extremes Along the Contiguous United States Coastlines Using the Max-Stable Process.” Communications Earth & Environment 5 (1): 39. https://doi.org/10.1038/s43247-024-01206-z
   Google Scholar
• Reiss, Rolf-Dieter, and Michael Thomas. 1997. Statistical Analysis of Extreme Values. Vol. 2. Basel: Birkhäuser: Springer.
   Google Scholar
• Schellander, Harald, Alexander Lieb, and Tobias Hell. 2019. “Error Structure of Metastatistical and Generalized Extreme Value Distributions for Modeling Extreme Rainfall in Austria.” Earth and Space Science 6 (9): 1616–1632. https://doi.org/10.1029/2019EA000557
   Web of Science ®Google Scholar
• Serafin, Katherine A, Peter Ruggiero, and Hilary F Stockdon. 2017. “The Relative Contribution of Waves, Tides, and Nontidal Residuals to Extreme Total Water Levels on US West Coast Sandy Beaches.” Geophysical Research Letters 44 (4): 1839–1847. https://doi.org/10.1002/2016GL071020
   Web of Science ®Google Scholar
• Solari, Sebastián, Marta Egüen, María José Polo, and Miguel A Losada. 2017. “Peaks Over Threshold (POT): A Methodology for Automatic Threshold Estimation Using Goodness of Fit P-Value.” Water Resources Research 53 (4): 2833–2849. https://doi.org/10.1002/2016WR019426
   Web of Science ®Google Scholar
• Tadesse, Michael Getachew, Thomas Wahl, Md Mamunur Rashid, Sönke Dangendorf, Alejandra Rodríguez-Enríquez, and Stefan Andreas Talke. 2022. “Long-Term Trends in Storm Surge Climate Derived from an Ensemble of Global Surge Reconstructions.” Scientific reports 12 (1): 1–18. https://doi.org/10.1038/s41598-022-17099-x
   PubMed Web of Science ®Google Scholar
• Vidrio-Sahagún, Cuauhtémoc Tonatiuh, and Jianxun He. 2022. “Hydrological Frequency Analysis Under Nonstationarity Using the Metastatistical Approach and Its Simplified Version.” Advances in Water Resources 166:104244. https://doi.org/10.1016/j.advwatres.2022.104244
   Web of Science ®Google Scholar
• Villarini, Gabriele, and James A Smith. 2010. “Flood Peak Distributions for the Eastern United States.” Water Resources Research 46 (6). https://doi.org/10.1029/2009WR008395
   PubMedGoogle Scholar
• Villarini, Gabriele, James A Smith, Francesco Serinaldi, and Alexandros A Ntelekos. 2011. “Analyses of Seasonal and Annual Maximum Daily Discharge Records for Central Europe.” Journal of Hydrology 399 (3–4): 299–312. https://doi.org/10.1016/j.jhydrol.2011.01.007
   Web of Science ®Google Scholar
• Volpi, Elena, Aldo Fiori, Salvatore Grimaldi, Federico Lombardo, and Demetris Koutsoyiannis. 2019. “Save Hydrological Observations! Return Period Estimation without Data Decimation.” Journal of Hydrology 571:782–792. https://doi.org/10.1016/j.jhydrol.2019.02.017
   Web of Science ®Google Scholar
• Wahl, Thomas, Ivan D Haigh, Robert J Nicholls, Arne Arns, Sonke Dangendorf, Jochen Hinkel, and Aimee BA Slangen. 2017. “Understanding Extreme Sea Levels for Broad-Scale Coastal Impact and Adaptation Analysis.” Nature communications 8 (1): 1–12. https://doi.org/10.1038/ncomms16075
   PubMedGoogle Scholar
• Wahl, Thomas, Shaleen Jain, Jens Bender, Steven D Meyers, and Mark E Luther. 2015. “Increasing Risk of Compound Flooding from Storm Surge and Rainfall for Major US Cities.” Nature Climate Change 5 (12): 1093–1097. https://doi.org/10.1038/nclimate2736
   Web of Science ®Google Scholar
• Wallace, E. E, R. C. MacArthur, S. Chowdhury, and L. K. Sakumoto. 2005. “FEMA Coastal Flood Hazard Analysis and Mapping Guidelines for the Pacific Coast. Solutions to Coastal Disasters 2005, edited byLouise Wallendorf, 247–256. Charleston, South Carolina: FEMA.
   Google Scholar
• Wang, Fan, Wei Shao, Haijun Yu, Guangyuan Kan, Xiaoyan He, Dawei Zhang, Minglei Ren, and Gang Wang. 2020. “Re-Evaluation of the Power of the Mann-Kendall Test for Detecting Monotonic Trends in Hydrometeorological Time Series.” Frontiers in Earth Science 8:14. https://doi.org/10.3389/feart.2020.00014
   Web of Science ®Google Scholar
• Woodworth, Philip L, and David L Blackman. 2004. “Evidence for Systematic Changes in Extreme High Waters Since the Mid-1970s.” Journal of Climate 17 (6): 1190–1197. https://doi.org/10.1175/1520-0442(2004)017<1190:EFSCIE>2.0.CO;2
   Web of Science ®Google Scholar
• Zorzetto, E, G. Botter, and M. Marani. 2016. “On the Emergence of Rainfall Extremes from Ordinary Events.” Geophysical Research Letters 43 (15): 8076–8082. https://doi.org/10.1002/2016GL069445
   Web of Science ®Google Scholar
• Zorzetto, Enrico, and Marco Marani. 2020. “Extreme Value Metastatistical Analysis of Remotely Sensed Rainfall in Ungauged Areas: Spatial Downscaling and Error Modelling.” Advances in Water Resources 135:103483. https://doi.org/10.1016/j.advwatres.2019.103483
   Web of Science ®Google Scholar