<b>Extreme value theory applied to the standardized precipitation index</b> - doi: 10.4025/actascitechnol.v36i1.17475

The Standardized Precipitation Index (SPI) is a mathematical algorithm developed for detecting and characterizing precipitation departures with regard to an expected regional climate condition. Thus, this study aimed to verify the possibility of using the time-independent general extreme value distr...

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Bibliographic Details
Main Author: Gabriel Constantino Blain
Format: Article
Language:English
Published: Universidade Estadual de Maringá 2014-01-01
Series:Acta Scientiarum: Technology
Subjects:
Online Access:http://186.233.154.254/ojs/index.php/ActaSciTechnol/article/view/17475
Description
Summary:The Standardized Precipitation Index (SPI) is a mathematical algorithm developed for detecting and characterizing precipitation departures with regard to an expected regional climate condition. Thus, this study aimed to verify the possibility of using the time-independent general extreme value distribution (GEV) for modeling the probability of occurrence of both SPI annual maxima (the maximum monthly SPI value; SPImax) and SPI annual minima (the minimum monthly SPI value; SPImim) obtained from the weather station of Campinas, State of São Paulo, Brazil (1891-2011) and to evaluate the presence of trends, temporal persistence and periodical components in these two datasets. The goodness-of-fit tests used in this study quantify the agreement between the empirical cumulative distribution and the GEV cumulative function. Our results have indicated that such parametric function can be used to assess the probability of occurrence of SPImin and SPImax values. No significant serial correlation and no trend were detected in both series. For the SPImim, the wavelet analysis has detected a dominant mode in the 4-8 year band. Future studies should focus on the development of a GEV model capable of accounting for such feature. No dominant mode was found for the annual monthly SPI maximums.
ISSN:1806-2563
1807-8664