Multidimensional modeling of cumulative rainfall: Parameter estimation and model adequacy through a continuum of scales
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This paper presents the multidimensional representation of the cumulative rainfall process and derives a closedform expression for the mean and spacetime covariance functions. A parameter estimation procedure is developed. Sensitivity analysis provides useful information for devising the parameter estimation strategy. The cumulative rainfall model is applied to 8 years of digitized rain gage data from the Walnut Gulch Experimental Watershed. The most useful feature of the model is its selfconsistency, implying that even after using information from a given limited set of data it still leads to realistic parameters which reproduce historical statistics at several levels of time and space scales. Copyright 1988 by the American Geophysical Union.