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Spatial‐temporal rainfall simulation using generalized linear models
Author(s) -
Yang C.,
Chandler R. E.,
Isham V. S.,
Wheater H. S.
Publication year - 2005
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/2004wr003739
Subject(s) - generalized linear model , autocorrelation , range (aeronautics) , rain gauge , spatial dependence , spatial analysis , temporal scales , limit (mathematics) , set (abstract data type) , statistics , spatial ecology , data set , scale (ratio) , mathematics , environmental science , econometrics , computer science , meteorology , geography , cartography , ecology , precipitation , mathematical analysis , materials science , composite material , biology , programming language
We consider the problem of simulating sequences of daily rainfall at a network of sites in such a way as to reproduce a variety of properties realistically over a range of spatial scales. The properties of interest will vary between applications but typically will include some measures of “extreme” rainfall in addition to means, variances, proportions of wet days, and autocorrelation structure. Our approach is to fit a generalized linear model (GLM) to rain gauge data and, with appropriate incorporation of intersite dependence structure, to use the GLM to generate simulated sequences. We illustrate the methodology using a data set from southern England and show that the GLM is able to reproduce many properties at spatial scales ranging from a single site to 2000 km 2 (the limit of the available data).