A fine-scale point process model of rainfall with dependent pulse depths within cells [Un modèle de processus ponctuel de pluies à échelle fine avec des hauteurs d'impulsions dépendantes au sein des cellules]

P Cowpertwait; Gang Xie; V Isham; C Onof; D C I Walsh

doi:10.1080/02626667.2011.604033

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A fine-scale point process model of rainfall with dependent pulse depths within cells [Un modèle de processus ponctuel de pluies à échelle fine avec des hauteurs d'impulsions dépendantes au sein des cellules]

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Peer reviewed

A fine-scale point process model of rainfall with dependent pulse depths within cells [Un modèle de processus ponctuel de pluies à échelle fine avec des hauteurs d'impulsions dépendantes au sein des cellules]

P Cowpertwait, Gang Xie, V Isham, C Onof and D C I Walsh

Hydrological Sciences Journal, Vol.56(7), pp.1110-1117

2011

DOI: https://doi.org/10.1080/02626667.2011.604033

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Abstract

infall time series

Bartlett-Lewis model

extreme values

Poisson cluster process

marked point process

séries de pluies

modèle de Bartlett-Lewis

valeurs extrêmes

processus de cluster de Poisson

processus ponctuel marqué

A cluster point process model is considered for the analysis of fine-scale rainfall time series. The model is based on three Poisson processes. The first is a Poisson process of storm origins, where each storm has a random (exponential) lifetime. The second is a Poisson process of cell origins that occur during the storm lifetime, terminating when the storm finishes. Each cell has a random lifetime that follows an exponential distribution (or terminates when the storm terminates, whichever occurs first). During cell lifetimes, a third Poisson process of instantaneous pulses occurs. The model is essentially an extension of the well-known Bartlett-Lewis rectangular pulses model, with the rectangular profiles replaced with a Poisson process of instantaneous pulse depths to ensure more realistic rainfall profiles for fine-scale series. Model equations, derived in Cowpertwait et al. (2007), are used to fit different sets of properties to a 60 year record of 5-min data taken from Kelburn, New Zealand. As in the previous work, two superposed processes are used to account for two main and distinct precipitation types (convective and stratiform). By treating the within-cell pulses as dependent random variables, it is found, by simulation, that improved fits to extreme values and the proportion of dry intervals are obtained.

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Title: A fine-scale point process model of rainfall with dependent pulse depths within cells [Un modèle de processus ponctuel de pluies à échelle fine avec des hauteurs d'impulsions dépendantes au sein des cellules]
Authors: P Cowpertwait (Author) - Auckland University of Technology, New Zealand
Gang Xie (Author) - Massey University, New Zealand
V Isham (Author) - University College, United Kingdom
C Onof (Author) - Imperial College, United Kingdom
D C I Walsh (Author) - Massey University, New Zealand
Publication details: Hydrological Sciences Journal, Vol.56(7), pp.1110-1117
Publisher: Taylor & Francis Ltd.
Date published: 2011
DOI: 10.1080/02626667.2011.604033
ISSN: 0262-6667
Organisation Unit: University of the Sunshine Coast, Queensland
Language: English
Record Identifier: 99449091802621
Output Type: Journal article

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