2004
DOI: 10.1002/joc.1063
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Occurrence and quantity of precipitation can be modelled simultaneously

Abstract: Many statistical models exist for modelling precipitation. One difficulty is that two issues need to be addressed: the probability of precipitation occurring, and then the quantity of precipitation recorded. This paper considers a family of distributions for modelling the quantity of precipitation, including those observations in which exactly no precipitation is recorded. Two examples are then discussed showing the distributions model the precipitation patterns well.

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Cited by 94 publications
(85 citation statements)
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References 30 publications
(26 reference statements)
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“…The method is based on the fit to daily data of the Gamma distribution, which is believed to represent precipitation phenomena reliably (Bridges and Haan, 1972;Stern and Coe, 1984;Bradley et al, 1987;Wilks, 1995;Groisman et al, 1999;Nicholls and Murray, 1999;Dunn, 2004;Jones et al, 2004). To further support the use of the Gamma distribution, a Kolmogorov-Smirnov test has been applied to each station's daily data (a total of more than 13 000 daily Gamma distributions have been tested).…”
Section: Basics Of the Methodsmentioning
confidence: 99%
“…The method is based on the fit to daily data of the Gamma distribution, which is believed to represent precipitation phenomena reliably (Bridges and Haan, 1972;Stern and Coe, 1984;Bradley et al, 1987;Wilks, 1995;Groisman et al, 1999;Nicholls and Murray, 1999;Dunn, 2004;Jones et al, 2004). To further support the use of the Gamma distribution, a Kolmogorov-Smirnov test has been applied to each station's daily data (a total of more than 13 000 daily Gamma distributions have been tested).…”
Section: Basics Of the Methodsmentioning
confidence: 99%
“…The return period (RP) k associated with a given RV is defined as the inverse of the probability that the RV is reached or exceeded assuming Gamma distribution. Seasonal precipitation is generally believed to follow this distribution (Dunn, 2004). We also calculated RPs assuming normal distribution.…”
Section: Methodsmentioning
confidence: 99%
“…They computed the Anscombe residuals from sites with observed rainfall in order to simulate adequate daily records with no missing values. The GLM framework has also been used to model the discrete and continuous nature of daily rainfall variables simultaneously [8][9][10] by fitting Tweedie GLMs to generate monthly rainfall data in 220 Australian stations. They incorporated 4 climatological variables, and the fitted models adequately predicted the preceding month.…”
Section: Introductionmentioning
confidence: 99%