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A daily rainfall occurrence process
Authors:W Jakubowski
Institution:(1) Dept. of Mathematics, Agricultural Academy of Wroclstrokaw, ul. Grunwaldzka 53, PL-50-357 Wroclstrokaw, Poland
Abstract:A model for the periodic (annual cycle), discrete rainfall occurrence process is presented. Using this model the probabilistic properties of the process in ell-day intervals can be investigated. In such an interval the rainfall occurrence process is approximated by some stationary processa t ,texistIN. The processa t ,texistIN is described by the distributions of the lengths of wet and dry sequences. It is assumed that the lengths of successive wet and dry sequences are independent. For this process the distribution of the number of wet days in ell-day intervals is calculated. The model is fitted to 50-year rainfall data from Wroclaw, Poland. Rainfall amounts of 0.1, 1.0 and 2.0 mm are considered as thresholds defining a wet day. To estimate the distribution of the length of wet and dry sequences the family of Pascal distribution is chosen.
Keywords:Daily rainfall occurrences  wet and dry sequences length  distribution of the number of wet days in ell-day intervals" target="_blank">gif" alt="ell" align="BASELINE" BORDER="0">-day intervals  Pascal distribution
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