Multiaffine random field model of rainfall

Abstract

A new method for the statistical description and simulation of two-dimensional rainfall radar images is proposed. It is based on the theory of multiaffine random fields and the bounded lognormal cascade model. The model has three free parameters, which are shown to provide a parsimonious and robust statistical description of rainfall images. The parameters retrieved from the analysis of the real rainfall data by fitting the one- and two-point statistics are used for simulation. The simulated rainfall fields are in good statistical and visual agreement with their real counterparts.