A MULTIVARIATE STATISTICAL MODEL FOR ADVANCED STORM SURGE ANALYSES IN THE NORTH SEA
Proceedings of the 32nd International Conference
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Keywords

integrated risk analyses
stochastic storm surge simulation
multivariate statistics
Copula model

How to Cite

Wahl, T., Jensen, J., & Mudersbach, C. (2011). A MULTIVARIATE STATISTICAL MODEL FOR ADVANCED STORM SURGE ANALYSES IN THE NORTH SEA. Coastal Engineering Proceedings, 1(32), currents.19. https://doi.org/10.9753/icce.v32.currents.19

Abstract

The knowledge of the characteristics of possible storm surges is essential to perform integrated risk analyses, e.g. based on the source-pathway-receptor concept, including the storm surge analyses (source), modeling failure mechanisms of the flood protection measures (pathway) and the quantification of potential losses (receptor). Focusing on the source part, a stochastic storm surge generator for the south-eastern North Sea is presented. The input data for the model are high resolution sea level observations from tide gauges during extreme events. Followed by the parameterization and fitting parametric distribution functions to the data sets, Monte-Carlo-Simulations allow the reconstruction of a large number of synthetic storm surge events. The latter serve as input data for the risk analyses and contribute to improving the overall results. The occurrence probabilities of the simulated extreme events are estimated based on multivariate statistics considering Copula functions, accounting for the structure of dependence overlooking the margins.
https://doi.org/10.9753/icce.v32.currents.19
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References

Bowman, A. W. and A. Azzalini. 1997. Applied Smoothing Techniques for Data Analysis, Oxford University Press.

De Michele, C., G. Salvadori, G. Passoni and R. Vezzoli. 2007. A multivariate model of sea storms using Copulas. Coastal Engineering, 54, 734-751. http://dx.doi.org/10.1016/j.coastaleng.2007.05.007

De Waal, D. J. and P.H.A.J.M. van Gelder. 2005. Modelling of extreme wave heights and periods through Copulas. Extremes, 8, 345-356.http://dx.doi.org/10.1007/s10687-006-0006-y

Dixon, M.J. and J.A Tawn,. 1995. Extreme sea-levels at the UK A-class sites: optimal site-bysite analysis and spatial analyses for the East Coast. POL Internal Document Number 72.

Dixon, M.J. and J.A. Tawn. 1997. Estimates of extreme sea conditions - final report, spatial analysis for the UK coast. POL Internal Document Number 112.

Gönnert, G., Th. Buß and S. Thumm. 2010. Coastal Protection in Hamburg due to climate change. An example to design an extreme storm surge event. In: Proceedings of the First International Conference "Coastal Zone Management of River Deltas and Low Land Coastlines", Alexandria, Egypt.

Gumbel, E.J. 1962. Multivariate extremal distributions. Bull. Inst. Internat. Statist. 39, pp. 469-475 Paris.

Jensen, J., C. Mudersbach, S. Muller-Navarra, I. Bork, C. Koziar and V. Renner. 2006. Modellgestutzte Untersuchungen zu Sturmfluten mit sehr geringen Eintrittswahrscheinlichkeiten an der Deutschen Nordseekuste. Die Kuste, 71.

Kahaner, D., C. Moler and S. Nash. 1989. Numerical Methods and Software, Prentice-Hall, Series In Computational Mathematics, ISBN:0-13-627258-4.

Karmakar, S. and S.P. Simonovic. 2008. Bivariate flood frequency analysis: Part 1 - Determination of marginals by parametric and nonparametric techniques. Journal of Flood Risk Management, 1, 190-200. http://dx.doi.org/10.1111/j.1753-318X.2008.00022.x

Karmakar, S. and S.P. Simonovic. 2009. Bivariate flood frequency analysis: Part 2 - A Copula-based approach with mixed marginal distributions. Journal of Flood Risk Management, 2-1, 32-44 (13).

Klein, B., M. Pahlow, Y. Hundecha, C. Gattke and A. Schumann. 2008. Probabilistic Analysis of Hydrological Loads to Optimize the Design of Flood Control Systems. 4th International Symposium on Flood Defence: Managing Flood Risk, Reliability and Vulnerability, Toronto, Canada.

Nelsen, R. B. 1999. An introduction to Copulas. Lecture Notes in Statistics, 139, Springer, New York. PMCid:103831

Oumeraci, H. 2004. Sustainable coastal flood defences: scientific and modelling challenges towards an integrated risk-based design concept. Proc. First IMA International Conference on Flood Risk Assessment, IMA - Institute of Mathematics and its Applications, Session 1, Bath, UK, pp. 9-24.

Oumeraci, H., J. Jensen, G. Gönnert, E. Pasche, A. Kortenhaus, M. Naulin, T. Wahl, S. Thumm, G. Ujeyl, I. Gershovich, and A. Burzel. 2009. Flood Risk Analysis for a Megacity: The German XtremRisK-Project, European and Global Communities combine forces on Flood Resilient Cities, Paris, France.

Tawn, J.A. 1988. Bivariate extreme value theory: models and estimation. Biometrika 75, 397-415.http://dx.doi.org/10.1093/biomet/75.3.397

Tawn, J.A. 1992. Estimating probabilities of extreme sea-levels. Applied Statistics 41, 77-93. http://dx.doi.org/10.2307/2347619

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