Abstract
The temporal evolution of moments of outflow-rate is investigated in a stochastically perturbed nonlinear reservoir due to precipitation. The detailed stochastic behaviour of outflow is obtained from the numerical solution of a nonlinear stochastic differential equation with multiplicative noise. The time-development of first two moments is studied for various choices of parameters. Using Stratonovich interpretation, it turns out that the mean outflow-rate is above that given by the deterministic solution. Based on the set of 9000 simulation runs, 90 % confidence intervals for the mean evolution of outflow-rate are computed. The effect of stochastic perturbations with finite correlation time is investigated.
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Karmeshu, Schurz, H. (1996). Moment Evolution of the Outflow-Rate from Nonlinear Conceptual Reservoirs. In: Singh, V.P., Kumar, B. (eds) Proceedings of the International Conference on Hydrology and Water Resources, New Delhi, India, December 1993. Water Science and Technology Library, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0389-3_26
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DOI: https://doi.org/10.1007/978-94-011-0389-3_26
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