A geostatistical extreme-value framework for fast simulation of natural hazard events
Author(s) -
Benjamin D. Youngman,
David B. Stephenson
Publication year - 2016
Publication title -
proceedings of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
eISSN - 1471-2946
pISSN - 1364-5021
DOI - 10.1098/rspa.2015.0855
Subject(s) - generalized pareto distribution , extreme value theory , hazard , marginal distribution , pareto principle , natural hazard , generalized extreme value distribution , computer science , geostatistics , wind speed , event (particle physics) , natural (archaeology) , econometrics , mathematical optimization , statistics , mathematics , meteorology , random variable , spatial variability , geology , geography , ecology , biology , physics , quantum mechanics , paleontology
This is the final version of the article. Available from the publisher via the DOI in this record.We develop a statistical framework for simulating natural hazard events that combines extreme value theory and geostatistics. Robust generalized additive model forms represent generalized Pareto marginal distribution parameters while a Student's t-process captures spatial dependence and gives a continuous-space framework for natural hazard event simulations. Efficiency of the simulation method allows many years of data (typically over 10 000) to be obtained at relatively little computational cost. This makes the model viable for forming the hazard module of a catastrophe model. We illustrate the framework by simulating maximum wind gusts for European windstorms, which are found to have realistic marginal and spatial properties, and validate well against wind gust measurements.This work has been kindly funded by the Willis Research Network
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