Disaggregation processes in stochastic hydrology

Abstract

The need to preserve both long‐term and short‐term variance and covariance properties of hydrologic processes has led to the development of numerous stochastic models during the past few years; Among these are the models first proposed by Mandelbrot and Wallis for preserving the Hurst phenomenon. All these models use sequential generation schemes, and some require the process to be stationary without seasonal variations. The model presented herein preserves seasonal variations and does not necessarily generate data sequentially, although the autoregressive models of any order are special cases of this model. If an annual series has been generated by this or any other model, this model may be used to generate a parallel series of seasonal events from the given series of annual events. It may further be used to generate monthly, weekly, daily, and hourly events.