Point process models for fine-resolution rainfall |
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| Authors: | Jo Kaczmarska Christian Onof |
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| Institution: | 1. Department of Statistical Science, University College London, London WC1E 6BT, UKv.isham@ucl.ac.uk;3. Department of Civil and Environmental Engineering, Imperial College London, London SW7 2AZ, UK |
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| Abstract: | AbstractIn a recent development in the literature, a new temporal rainfall model, based on the Bartlett-Lewis clustering mechanism and intended for sub-hourly application, was introduced. That model replaced the rectangular rain cells of the original model with finite Poisson processes of instantaneous pulses, allowing greater variability in rainfall intensity over short intervals. In the present paper, the basic instantaneous pulse model is first extended to allow for randomly varying storm types. A systematic comparison of a number of key model variants, fitted to 5-min rainfall data from Germany, then generates further new insights into the models, leading to the development of an additional model extension, which introduces dependence between rainfall intensity and duration in a simple way. The new model retains the original rectangular cells, previously assumed inappropriate for fine-scale data, obviating the need for the computationally more intensive instantaneous pulse model. Editor D. Koutsoyiannis |
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| Keywords: | rainfall stochastic models Bartlett-Lewis models Poisson cluster processes sub-hourly fine-scale |
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