Power-variance models for modelling rainfall

Paper


Dunn, Peter K. and White, Neil. 2005. "Power-variance models for modelling rainfall." Francis, A. R., Matawie, K. M., Oshlack, A. and Smyth, Gordon K. (ed.) 20th International Workshop on Statistical Modelling. Sydney, Australia 10 - 15 Jul 2005
Paper/Presentation Title

Power-variance models for modelling rainfall

Presentation TypePaper
AuthorsDunn, Peter K. (Author) and White, Neil (Author)
EditorsFrancis, A. R., Matawie, K. M., Oshlack, A. and Smyth, Gordon K.
Year2005
ISBN1741081017
Web Address (URL) of Paperhttp://sites.uws.edu.au/uws/conferences/statmodel2005/
Conference/Event20th International Workshop on Statistical Modelling
Event Details
20th International Workshop on Statistical Modelling
Event Date
10 to end of 15 Jul 2005
Event Location
Sydney, Australia
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.

KeywordsTweedie model, rainfall, generalized linear model, power-variance models.
ANZSRC Field of Research 2020401199. Environmental engineering not elsewhere classified
490501. Applied statistics
370108. Meteorology
Byline AffiliationsDepartment of Mathematics and Computing
Department of Primary Industries, Queensland
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