Stochastic response of a storage function model for flood runoff estimation of higher-order moments

Fujita, Mutsuhiro; Kudo, Mutsunobu

doi:10.1016/0160-4120(95)00052-m

Cited by 5 publications

(2 citation statements)

References 8 publications

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“…혹은 운동파모형에서 유도된 저류함수모형 (Nam, 1985;Sugiyama et al, 1997;Sugiyama et al, 1999), 추계 동역학적 상태·공간형태의 하도 저류함수모형 (Bae and Jung, 2000), Dynamic Effect를 고려한 저류함수 )로 저류함수모형의 예측성능향상을 위해 많은 연구들이 수행되었다. 또한 최근 들어, 강우의 불확실성을 고려하기 위해 4차 모멘트를 이용하거나 (Fujita and Kudo, 1995), 앙상블 칼만필터를 적용하였다 (Bae et al, 2009a, b;Shamir et al, 2010 …”

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Modification of the Fixed Coefficient Method for the Parameter Estimation of Storage Function Method

Chung¹,

Park²

2013

Journal of Korea Water Resources Association

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The researches on the parameter estimation for storage function method have been conducted for a long time using different methods. However, the determination of the optimal parameters takes a long time and there is a controversy that the proposed optimal parameters do not likely represent the physical characteristics of watershed. In this study, the characteristics of the continuity and storage function equation was analyzed and sensitivities were evaluated. As the result, the only optimal solution is suggested among several local optimums. It is also shown that the lag time is able to be determined using the direct runoff starting time of the watershed. From the sensitivity analysis, it is also proved that the determination of the lag time is very important and the only optimal solution could be found easily after selecting the lag time. Therefore, unlike the traditional optimization method, the proposed method does not take a long time to find the optimal solution which is depending on the characteristics of the rainfall events. The fixed coefficient method which is a method to estimate the optimal parameters of storage function method has been modified using the proposed method. Therefore, the practical efficiency to apply storage function method could be enhanced by applying the proposed method. While the traditional method takes care only the error of the runoff hydrograph, it is very important that the proposed method considers the characteristics of the watershed.

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Modification of the Fixed Coefficient Method for the Parameter Estimation of Storage Function Method

Chung¹,

Park²

2013

Journal of Korea Water Resources Association

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“…Recently, different works on this subject have been published. Some of these use an intensive analytical approach to describe the dynamics of changing statistical characteristics of hydrological systems (Fujita & Kudo 1995;Lee et al 2001;Naidenov & Shveikina 2002Dolgonosov & Korchagin 2007, whereas others look for pseudo-stationary solutions to describe the long-term variations and stability of annual runoff probabilistic patterns (ASCE 1993;Khaustov 1999;Frolov 2006). Previous work on numerical solutions to the FPK equation has been done in the field of probabilistic affluence forecasting, all of which uses numerical schemes with one-directional drift (Kovalenko 1993;Shevnina 2001).…”

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A Fokker–Planck–Kolmogorov equation approach for the monthly affluence forecast of Betania hydropower reservoir

Domínguez

Rivera²

2010

Journal of Hydroinformatics

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This paper presents a finite difference, time-layer-weighted, bidirectional algorithm that solves the Fokker-Planck-Kolmogorov (FPK) equation in order to forecast the probability density curve (PDC) of the monthly affluences to the Betania hydropower reservoir in the upper part of the Magdalena River in Colombia. First, we introduce a deterministic kernel to describe the basic dynamics of the rainfall-runoff process and show its optimisation using the S/s D performance criterion as a goal function. Second, we introduce noisy parameters into this model, configuring a stochastic differential equation that leads to the corresponding FPK equation. We discuss the set-up of suitable initial and boundary conditions for the FPK equation and the introduction of an appropriate Courant-Friederich-Levi condition for the proposed numerical scheme that uses time-dependent drift and diffusion coefficients. A method is proposed to identify noise intensities.The suitability of the proposed numerical scheme is tested against an analytical solution and the general performance of the stochastic model is analysed using a combination of the Kolmogorov, Pearson and Smirnov statistical criteria.

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Study on the interaction between surface water and groundwater in Qin River basin using a distributed hydrologic model

Ni¹,

Hu²

2004

Environmental Hydraulics and Sustainable Water Management, Two Volume Set

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Stochastic response of a storage function model for flood runoff estimation of higher-order moments

Cited by 5 publications

References 8 publications

Modification of the Fixed Coefficient Method for the Parameter Estimation of Storage Function Method

Modification of the Fixed Coefficient Method for the Parameter Estimation of Storage Function Method

A Fokker–Planck–Kolmogorov equation approach for the monthly affluence forecast of Betania hydropower reservoir

Study on the interaction between surface water and groundwater in Qin River basin using a distributed hydrologic model

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