Details

Extremes in Nature


Extremes in Nature

An Approach Using Copulas
Water Science and Technology Library, Band 56

von: Gianfausto Salvadori, Carlo De Michele, Nathabandu T. Kottegoda, Renzo Rosso

149,79 €

Verlag: Springer
Format: PDF
Veröffentl.: 01.06.2007
ISBN/EAN: 9781402044151
Sprache: englisch
Anzahl Seiten: 292

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Beschreibungen

The most powerful earthquake in 40 years occurred on 26th December 2004 off the west coast of Sumatra, Indonesia. The tsunami it generated turned into one of the worst known natural disasters when walls of water crashed across the Indian Ocean, causing waves to reach Somalia in Africa. The death toll, mainly in Indonesia and Sri Lanka, exceeded 200,000. Nine months later, hurricane Katrina devastated the southern coast of USA along the Gulf coast. Winds reached 281 kilometers per hour and the storm surge of over nine meters was the highest recorded in the United States. It brought destruction to New Orleans when portions of the 563 kilometers of levees surrounding the city were suddenly breached. Nearly 1700 people died and damages are currently estimated at $100 billion, the costliest natural disaster in the United States. Within days hurricane Rita, another maximum category hurricane, struck the same coastal region damaging Texas and other states, followed soon aft- wards by hurricane Wilma. Then on October 8th 2005 an earthquake in Kashmir, part of northern Pakistan and India, killed 75,000 inhabitants when innumerable buildings collapsed. Simultaneously, hurricane Stan led to costly landslides and more than 2000 deaths in Central America. To highlight the major catastrophes of nature during the previous decade, Cyclone Gorky and its storm surge caused 139,000 deaths in coastal Bangladesh during 1991.
Univariate Extreme Value theory.- Multivariate Extreme Value theory.- Bivariate Analysis Via Copulas.- Multivariate Analysis Via Copulas.- Extreme Value Analysis Via Copulas.
<P>The study of the statistics of extreme events is an essential first step in the mitigation of natural catastrophies, that often cause severe economic losses worldwide. This book is about the theoretical and practical aspects of the statistics of Extreme Events in Nature.</P>
<P>Most importantly, this is the first text in which Copulas are introduced and used in Geophysics.</P>
<P>Several topics are fully original, and show how standard models and calculations can be improved by exploiting the opportunities offered by Copulas. In addition, new quantities useful for design and risk assessment are introduced. Practicioners in all research areas of Geosciences and extreme events (including Finance and Insurance, closely related to natural disasters) will definitely benefit from the new Copula-approach outlined in the book.</P>
<P>&nbsp;</P>
<P><EM>Audience</EM></P>
<P>This volume will be of interest to researchers and practitioners in the fields of civil and environmental engineering, geophysics, geosciences, geography and environmental science. Also scientists and undergraduate up to post graduate level students in water resources and hydrology will find valuable information in this book. </P>
Topics treated are diverse and of wide practical significance Clear exposition of theoretical background Application of copulas Nonstationary, bivariate and multivariate methods Treatment of natural disasters
<P>The study of the statistics of extreme events is an essential first step in the mitigation of natural catastrophies. This book reviews the theoretical and practical aspects of the statistics of extreme events in nature. Topics range from high and low flows, to earthquakes and volcanic eruptions, land slides, avalanches, windstorms, extreme sea levels and high waves, forest fires and other disasters that threaten lives and properties and often cause severe economic losses worldwide. In many applications it is important to consider extreme events in a bivariate or multivariate context. Copulas exactly describe and model the dependence structure between random variables independently of the marginal laws involved. This approach simplifies the analysis of phenomena involved and makes it possible to introduce new parameters for the characterization of the extreme behaviour of a system.</P>

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