A space‐time stochastic model of rainfall for satellite remote‐sensing studies

A model of the spatial and temporal distribution of rainfall is described that produces random spatial rainfall patterns with these characteristics: (1) The model is defined on a grid with each grid point representing the average rain rate over the surrounding grid box. (2) Rain occurs at any one grid point, on average, a specified percentage of the time and has a lognormal probability distribution. (3) Spatial correlation of the rainfall can be arbitrarily prescribed. (4) Time stepping is carried out so that large‐scale features persist longer than small‐scale features. Rain is generated in the model from the portion of a correlated Gaussian random field that exceeds a threshold. The portion of the field above the threshold is rescaled to have a lognormal probability distribution. Sample output of the model designed to mimic radar observations of rainfall during the Global Atmospheric Research Program Atlantic Tropical Experiment (GATE), is shown. The model is intended for use in evaluating sampling strategies for satellite remote‐sensing of rainfall and for development of algorithms for converting radiant intensity received by an instrument from its field of view into rainfall amount.