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Multidimensional modeling of cumulative rainfall: Parameter estimation and model adequacy through a continuum of scales
Author(s) -
Islam Shafiqul,
Bras Rafael L.,
RodriguezIturbe Ignacio
Publication year - 1988
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr024i007p00985
Subject(s) - covariance , estimation theory , mathematics , sensitivity (control systems) , representation (politics) , consistency (knowledge bases) , parameter space , statistics , computer science , engineering , geometry , electronic engineering , politics , political science , law
This paper presents the multidimensional representation of the cumulative rainfall process and derives a closed‐form expression for the mean and space‐time 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 self‐consistency, 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.