Abstract
After the trend and periodicity components are removed from a hydrologic process, the remaining components are defined as the residual hydrologic processes. In this paper, hydrologic watershed system is considered to consist mainly of the stochastic processes of precipitation, runoff, evapotranspiration, and watershed storage that are related by the water balance equation. The residual hydrologic stochastic processes of the watershed system are treated as a multiple time series and analysed by the cross-spectrum and partial cross-spectrum theory to determine the correlation structure of the processes involved. The method of analysis is applied to monthly data from the upper Sangamon River basin above Monticello in east central Illinois, U.S.A. As a result, a set of models for the residual hydrologic stochastic processes of the watershed are obtained and then used to form a stochastic model which may be employed to generate stochastic streamflows.
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