Journal of Japan Society of Civil Engineers, Ser. B1 (Hydraulic Engineering)
Online ISSN : 2185-467X
ISSN-L : 2185-467X
Annual Journal of Hydraulic Engineering, JSCE, Vol.61
STOCHASTIC RESPONSE CHARACTERISTICS OF RAINFALL-RUNOFF SYSTEM EXPRESSED BY STOCHASTIC DIFFERENTIAL EQUATIONS
Gaku TANAKA
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2017 Volume 73 Issue 4 Pages I_145-I_150

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Abstract
 Rainfall-runoff phenomenon is more or less stochastic. From its stochastic viewpoint, runoff models are described by stochastic differential equations. In this paper, we propose differential equations whose solutions estimate the first- to fourth-order central moments of discharge under the condition that the rainfall input, the storage coefficient and the initial condition of a storage function runoff model are treated as random variables respectively. The validity of these proposed differential equations was cross-checked by a simulation. Estimation of the probability density function of discharge is possible by using the first- to fourth-order central moments of discharge presented in this paper. The results in this study can be applicable to problems on the river engineering, such as the estimation of the design flood.
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© 2017 Japan Society of Civil Engineers
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