Multidimensional modeling of cumulative rainfall: Parameter estimation and model adequacy through a continuum of scales Academic Article uri icon


  • 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. Copyright 1988 by the American Geophysical Union.

altmetric score

  • 3

author list (cited authors)

  • Islam, S., Bras, R. L., & Rodriguez‐Iturbe, I.

citation count

  • 19

publication date

  • July 1988