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A simple spatial-temporal model of rainfall

David Roxbee Cox, Valerie Isham

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Source: Crossref

Published: Feb 9, 1988

DOI: 10.1098/rspa.1988.0016

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Source abstract

Abstract A spatial-temporal model of rainfall is studied in which storms arrive in a Poisson process in space and time, each storm consisting of a circular region of rain which moves with random velocity for a random time before disappearing. Rain is deposited by the cell at constant random intensity. Some of the main properties of this process are studied analytically.

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A simple spatial-temporal model of rainfall — Mathematical Frontier Network