Evaluation of mean square error involved in approximating the areal average of a rainfall event by a discrete summation Academic Article uri icon

abstract

  • Two‐dimensional areal processes are commonly evaluated in hydrology through a discretization in space over the region in which the process is being studied. Such a discretization involves an error in going from the continuous process to the discrete one. This error is studied theoretically, and graphs are presented for its evaluation as function of the size of the area, the functional form of the correlation equation in space, and the level of discretization or size of the sample. Correlation structures of the Bessel type and of the single and double exponential kind are considered, and their different implications are discussed. Copyright 1976 by the American Geophysical Union.

author list (cited authors)

  • Bras, R. L., & Rodríguez‐Iturbe, I.

citation count

  • 25

publication date

  • April 1976