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Assessing the Hydrodynamic Boundary Conditions for Risk Analyses in Coastal Areas: a Multivariate Statistical Approach Based on Copula Functions : Volume 12, Issue 2 (29/02/2012)

By Wahl, T.

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Book Id: WPLBN0004018060
Format Type: PDF Article :
File Size: Pages 16
Reproduction Date: 2015

Title: Assessing the Hydrodynamic Boundary Conditions for Risk Analyses in Coastal Areas: a Multivariate Statistical Approach Based on Copula Functions : Volume 12, Issue 2 (29/02/2012)  
Author: Wahl, T.
Volume: Vol. 12, Issue 2
Language: English
Subject: Science, Natural, Hazards
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
2012
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Mudersbach, C., Jensen, J., & Wahl, T. (2012). Assessing the Hydrodynamic Boundary Conditions for Risk Analyses in Coastal Areas: a Multivariate Statistical Approach Based on Copula Functions : Volume 12, Issue 2 (29/02/2012). Retrieved from http://community.ebooklibrary.org/


Description
Description: Research Institute for Water and Environment, University of Siegen, Germany. This paper presents an advanced approach to statistically analyse storm surge events. In former studies the highest water level during a storm surge event usually was the only parameter that was used for the statistical assessment. This is not always sufficient, especially when statistically analysing storm surge scenarios for event-based risk analyses. Here, Archimedean Copula functions are applied and allow for the consideration of further important parameters in addition to the highest storm surge water levels. First, a bivariate model is presented and used to estimate exceedance probabilities of storm surges (for two tide gauges in the German Bight) by jointly analysing the important storm surge parameters highest turning point and intensity. Second, another dimension is added and a trivariate fully nested Archimedean Copula model is applied to additionally incorporate the significant wave height as an important wave parameter. With the presented methodology, reliable and realistic exceedance probabilities are derived and can be considered (among others) for integrated flood risk analyses contributing to improve the overall results. It is highlighted that the concept of Copulas represents a promising alternative for facing multivariate problems in coastal engineering.

Summary
Assessing the hydrodynamic boundary conditions for risk analyses in coastal areas: a multivariate statistical approach based on Copula functions

Excerpt
Berg, D. and Aas, K.: Models for construction of multivariate dependence: A comparison study, Europ. J. Finance, 15, 639–659, 2007.; Berg, D. and Quessy, J.-F.: Local sensitivity analyses of goodness-of-fit tests for copulas, Scand. J. Statist., 36, 389–412, 2009.; Berg, G.: Copula goodness-of-fit testing: an overview and power comparison. Europ. J. Finance, 15, 675–701, 2009.; Coles, S. G. and Tawn, J. A.: Statistical methods for multivariate extremes: An application to structural design, J. Appl. Statist., 43 1–48, 1994.; Cai, Y., Gouldby, B. P., Hawkes, P. J., and Dunning, P.: Statistical simulation of flood variables: incorporating short-term sequencing, J. Flood Risk Manage., 1, 3–12, 2008.; De Michele, C. and Salvadori, G.: A Generalized Pareto intensity-duration model of storm rainfall exploiting 2-copulas, J. Geophys. Res., 108, 4067, doi:10.1029/2002JD002534, 2003.; De Michele, C., Salvadori, G., Passoni, G., and Vezzoli, R.: A multivariate model of sea storms using copulas, Coast. Eng., 54, 734–751, 2007.; de Vries, C. G. and Zhou, C.: Discussion of Copulas: Tales and facts, by Thomas Mikosch, Extremes, 9, 23–25, 2006.; De Waal, D. J. and van Gelder, P. H. A. J. M.: Modelling of extreme wave heights and periods through copulas, Extremes, 8, 345–356, 2005.; Dixon, M. J. and Tawn, J. A.: Extreme sea-levels at the UK A-class sites: site-by-site analysis, POL Internal Document Number 65, 1994.; Favre, A.-C., El Adlouni, S., Perreault, L., Thiémonge, N., and Bobée, B.: Multivariate hydrological frequency analysis using copulas, Water Resour. Res., 40, W01101, doi:10.1029/2003WR002456, 2004.; Galiatsatou, P. and Prinos, P.: Bivariate models for extremes of significant wave height and period – An application to the Dutch Coast., Proc. 2nd IMA Inter-national Conference on Flood Risk Assessment, University of Plymouth, UK, 2007.; Genest, C. and Favre, A-C.: Everything you always wanted to know about copula modeling but were afraid to ask, J. Hydrol. Eng., 12, 347–368, 2007.; Genest, M. and Remillard, B.: Discussion of Copulas: Tales and Facts, by Thomas Mikosch, Extremes, 9, 27–36, 2006.; Genest, C., Rémillard, B., and Beaudoin, D.: Goodness-of-fit tests for copulas: A review and a power study, Insurance Math. Econom, 44, 199–213, 2009.; Grimaldi, S. and Serinaldi, F.: Design hyetographs analysis with 3-copula function, Hydrol. Sci. J., 51, 223–238, 2006a.; Grimaldi, S. and Serinaldi, F.: Asymmetric copula in multivariate flood frequency analysis, Adv. Water Resour., 29, 1115–1167, 2006b.; Gringorten, I. I.: A plotting rule for extreme probability paper, J. Geophys. Res., 68, 813–814, 1963.; Haigh, I. D., Nicholls, R. J., and Wells, N. C.: A comparison of the main methods for estimating probabilities of extreme still water levels, Coast. Eng., 57, 838–849, 2010.; Hanson, H. and Larson, M.: Implications of extreme waves and water levels in the southern Baltic Sea, J. Hydraul. Res., 46, Extra Issue 2 (2008), 292–302, 2008.; Hawkes, P. J.: Joint probability analysis for estimation of extremes, J. Hydraul. Res., 46, Extra Issue 2 (2008), 246–256, 2008.; Hawkes, P. J., Gouldby, B. P., Tawn, J. A., and Owen, M. W.: The Joint Probability of Waves and Water Levels in Coastal Defence Design, J. Hydraul. Res., 40, 241–251, 2002.; HR Wallingford: Joint probability of waves and water levels on the North Wales coast, HR Wallingford Report EX 2331, 1990.; HR Wallingford and Lancaster University: The Joint Probability of Waves and Water Levels: JOIN-SEA: A Rigorous but Practical New Approach, HR Wallingford Report SR 537, Originally dated November 1998, re-issued with minor amendments in final form in May 2000, HR Wallingford, UK, 2000.; Jensen, J., Mudersbach, Ch., Bork, I., Müller-Navarra, S. H., Koziar, Ch., and Renner, V.: Modellgestützte Untersuchungen zu Sturmfluten mit sehr geringen Eintrittswahrscheinlichkei

 

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