Multiaffine random field model of rainfall

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