Stochastic Response of Storage Function Model

The Impact of Mutually Dependent Rainfall Input

Abstract

Author derived the theoretical equations which provide the first four moments of discharge from storage function model under the assumption that rainfall input belongs to first order auto-regressive process. It is well known that auto-correlation function of first order autoregressive process decreases exponentially or shows damped oscillation according to positive or negative regression coefficient. Consequently, these derived theoretical equations are grouped into two cases according to positive or negative coefficient. Finally, these equations are examined by Monte Carlo simulation method. This paper makes it clear that the above regression coefficient plays an important role in stochastic response.