A CLUSTERED SPATIAL-TEMPORAL MODEL OF RAINFALL

A spatial-temporal model of rainfall is studied in which storms arrive in a Poisson process in time, each storm giving rise to a random numb er of elliptical rain cells. Each ra,in cell moves with a random veloc ity for a random time before terminating. Rain is deposited by the cel l at a random intensity which is constant over the area of the cell an d over its lifetime. The main properties of this model are studied ana lytically where possible. Further properties and the aggregation of mo del properties over space for direct comparison with rainfall radar da ta require the numerical evaluation of integrals.