ON THE COLLECTION, THE ANALYSIS, AND THE SYNTHESIS OF SPATIAL RAINFALL DATA.
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abstract
The collection and analysis of data, processed for the purpose of estimating areal averages of rainfall, is formulated as a mathematical programming problem whose objective function is the minimization of the cost and mean square error of the network, and whose decision variables are the total number of raingages, the coordinates of each one of them, and the estimator weights. A two-stage methodology is proposed, wherein the optimal configuration of the network is determined first, followed by the optimal estimator weights. The synthesis of processes of areal averages of rainfall is treated by proposing an extension to a previous model of point rainfall synthesis. The distribution of the annual areal rainfall maximum per event is derived.