Stochastic Response of Storage Function Model (2)

The Impact of Mutually Dependent Rainfall Input

Abstract

The observed rainfall is described as a random step function whose step height belongs to some stochastic process. On the other hand, the theoretical equations to calculate the first four moments of discharge require stochastic properties of rainfall defined as continuous function. In this paper, it is assumed that the observed rainfall is approximated by the first order autoregressive process. In this paper, authors strictly derive the auto-covariance function for rainfall defined as continuous function and theoretical equations which give the first four moments of discharge based on storage function model.