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Statistical Modelling of Extreme Rainfall in Taiwan

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  • Lan-Fen Chu

    (National Science and Technology Center for Disaster Reduction Taiwan)

  • Michael McAleer

    (Econometric Institute Erasmus School of Economics Erasmus University Rotterdam and Tinbergen Institute The Netherlands and Institute of Economic Research Kyoto University Japan and Department of Quantitative Economics Complutense University of Madrid Spain)

  • Ching-Chung Chang

    (Institute of Economics Academia Sinica Taiwan)

Abstract

In this paper, the annual maximum daily rainfall data from 1961 to 2010 are modelled for 18 stations in Taiwan. We fit the rainfall data with stationary and non-stationary generalized extreme value distributions (GEV), and estimate their future behaviour based on the best fitting model. The non-stationary model means that the parameter of location of the GEV distribution is formulated as linear and quadratic functions of time to detect temporal trends in the maximum rainfall. Future behavior refers to the return level and the return period of the extreme rainfall. The 10, 20, 50 and 100-years return levels and their 95% confidence intervals of the return levels stationary models are provided. The return period is calculated based on the record-high (ranked 1st) extreme rainfall brought by the top 10 typhoons for each station in Taiwan. The estimates show that non-stationary model with increasing trend is suitable for the Kaohsiung, Hengchun, Taitung and Dawu stations. The Kaohsing and Hengchun stations have greater trends than the other two stations, showing that the positive trend extreme rainfall in the southern region is greater than in the eastern region of Taiwan. In addition, the Keelung, Anbu, Zhuzihu, Tamsui, Yilan, Taipei, Hsinchu, Taichung, Alishan, Yushan and Tainan stations are fitted well with the Gumbel distribution, while the Sun Moon Lake, Hualien and Chenggong stations are fitted well with the GEV distribution.

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Bibliographic Info

Paper provided by Kyoto University, Institute of Economic Research in its series KIER Working Papers with number 835.

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Length: 21pages
Date of creation: Dec 2012
Date of revision:
Handle: RePEc:kyo:wpaper:835

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Keywords: Extreme theory; Extreme rainfall; Return level; Typhoon.;

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  1. Demetris Koutsoyiannis & George Baloutsos, 2000. "Analysis of a Long Record of Annual Maximum Rainfall in Athens, Greece, and Design Rainfall Inferences," Natural Hazards, International Society for the Prevention and Mitigation of Natural Hazards, International Society for the Prevention and Mitigation of Natural Hazards, vol. 22(1), pages 29-48, July.
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