2025 Volume 81 Issue 16 Article ID: 24-16074
Using the storage function runoff model, as a rainfall-runoff system, we proposed a differential equation that can theoretically estimate the stochastic characteristics of discharge with rainfall intensity, two storage coefficients, and initial discharge as known random variables, and its validity was verified through simulation methods. The results show that the variance of parameters related to the topography and geology of the watershed affects the variance of discharge around the flood arrival time, and the variance of rainfall intensity affects the variance of discharge in proportion to its value. The stochastic properties of the runoff model obtained in this study, through comparison with the results of stochastic response analysis of the physical model, lead to the solution of problems related to the lumping process of the runoff model.