Power-variance models for modelling rainfall

Dunn, Peter K. and White, Neil (2005) Power-variance models for modelling rainfall. In: 20th International Workshop on Statistical Modelling, 10 - 15 July 2005, Sydney, Australia.

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Abstract

Modelling rainfall presents difficulties: one is that rainfall is both continuous and discrete. The discrete component corresponds to exactly zero rainfall. Some researchers circumvent this by using two models - one for determining the presence and absence of rainfall, another for the rainfall amount. Here, we use power-variance (Tweedie) generalized linear models, which can explictly model continuous data with exact zeros. We demonstrate there is a basis for using these models; that the parameters, in some cases, lend themselves to a useful interpretation; and show the models fit the data well using monthly rainfall data from Charleville. We then model Australian annual rainfall, and develop a contour map for the power-variance model index parameter.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Depositing User: epEditor USQ
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 11 Oct 2007 00:28
Last Modified: 02 Jul 2013 22:33
Uncontrolled Keywords: Tweedie model, rainfall, generalized linear model, power-variance models.
Fields of Research (FOR2008): 09 Engineering > 0907 Environmental Engineering > 090702 Environmental Engineering Modelling
01 Mathematical Sciences > 0104 Statistics > 010401 Applied Statistics
04 Earth Sciences > 0401 Atmospheric Sciences > 040107 Meteorology
URI: http://eprints.usq.edu.au/id/eprint/734

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