MULTIDIMENSIONAL CHARACTERIZATION OF THE RAINFALL PROCESS PART Ⅰ: Synthetic Generation of Hydrologic Spatial Processes PART Ⅱ: On the Transformation of Point Rainfall to Areal Rainfall

摘要

A procedure for the synthesis of processes exhibiting temporal and spatial variability is presented. The method in¬volves the addition of harmonics of random frequencies which are sampled from the spectral density function or the radial spectral density function. The process obtained is asymptoti¬cally Gaussian and ergodic. An estimate of the error in time or space averages due to the non-ergodicity of the process as function of the number of harmonics is also included.