Stochastic series lumped rainfall-runoff model for a watershed in Taiwan

Chi Chun Lee; Yih Chi Tan; Chu Hui Chen; T. C. Jim Yeh

doi:10.1016/S0022-1694(01)00410-3

Stochastic series lumped rainfall-runoff model for a watershed in Taiwan

Chi Chun Lee, Yih Chi Tan, Chu Hui Chen, T. C. Jim Yeh

Hydrology and Atmospheric Science

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The purpose of this paper is to develop a stochastic differential equation (SDE) for a lumped rainfall-runoff model and apply it to a watershed that consists of a number of subwatersheds in a series structure in Taiwan. Each subwatershed unit is treated as a two-part tank model. One part is for converting rainfall excess within the subwatershed into outflow at the subwatershed outlet. The other part converts subwatershed outflow into inflow at the next connecting subwatershed inlet. The measured values of rainfall excess are treated as random variables, and are used as input to the rainfall-runoff model. The development of the moment equations of simulated outflow is based on a SDE. The outflow hydrography is obtained by applying the Laplace transform method to the equations that describe rainfall excess.

Original language	English (US)
Pages (from-to)	30-45
Number of pages	16
Journal	Journal of Hydrology
Volume	249
Issue number	1-4
DOIs	https://doi.org/10.1016/S0022-1694(01)00410-3
State	Published - Aug 1 2001

Keywords

Laplace transform
Rainfall-runoff model
Stochastic differential equation
Unit-step function

ASJC Scopus subject areas

Water Science and Technology

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10.1016/S0022-1694(01)00410-3

Cite this

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title = "Stochastic series lumped rainfall-runoff model for a watershed in Taiwan",

abstract = "The purpose of this paper is to develop a stochastic differential equation (SDE) for a lumped rainfall-runoff model and apply it to a watershed that consists of a number of subwatersheds in a series structure in Taiwan. Each subwatershed unit is treated as a two-part tank model. One part is for converting rainfall excess within the subwatershed into outflow at the subwatershed outlet. The other part converts subwatershed outflow into inflow at the next connecting subwatershed inlet. The measured values of rainfall excess are treated as random variables, and are used as input to the rainfall-runoff model. The development of the moment equations of simulated outflow is based on a SDE. The outflow hydrography is obtained by applying the Laplace transform method to the equations that describe rainfall excess.",

keywords = "Laplace transform, Rainfall-runoff model, Stochastic differential equation, Unit-step function",

author = "Lee, {Chi Chun} and Tan, {Yih Chi} and Chen, {Chu Hui} and {Jim Yeh}, {T. C.}",

note = "Funding Information: Support for this study was provided by the National Science Council of Taiwan under grant NSC 88-2313-B-002-099. The authors are also grateful for the contributions of Dr Chen-Wuing Liu, Dr Chun-Nan Lin, Dr Gwo-Hsing Yu, and Dr Miau-Bin Su. ",

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doi = "10.1016/S0022-1694(01)00410-3",

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T1 - Stochastic series lumped rainfall-runoff model for a watershed in Taiwan

AU - Lee, Chi Chun

AU - Tan, Yih Chi

AU - Chen, Chu Hui

AU - Jim Yeh, T. C.

N1 - Funding Information: Support for this study was provided by the National Science Council of Taiwan under grant NSC 88-2313-B-002-099. The authors are also grateful for the contributions of Dr Chen-Wuing Liu, Dr Chun-Nan Lin, Dr Gwo-Hsing Yu, and Dr Miau-Bin Su.

PY - 2001/8/1

Y1 - 2001/8/1

N2 - The purpose of this paper is to develop a stochastic differential equation (SDE) for a lumped rainfall-runoff model and apply it to a watershed that consists of a number of subwatersheds in a series structure in Taiwan. Each subwatershed unit is treated as a two-part tank model. One part is for converting rainfall excess within the subwatershed into outflow at the subwatershed outlet. The other part converts subwatershed outflow into inflow at the next connecting subwatershed inlet. The measured values of rainfall excess are treated as random variables, and are used as input to the rainfall-runoff model. The development of the moment equations of simulated outflow is based on a SDE. The outflow hydrography is obtained by applying the Laplace transform method to the equations that describe rainfall excess.

AB - The purpose of this paper is to develop a stochastic differential equation (SDE) for a lumped rainfall-runoff model and apply it to a watershed that consists of a number of subwatersheds in a series structure in Taiwan. Each subwatershed unit is treated as a two-part tank model. One part is for converting rainfall excess within the subwatershed into outflow at the subwatershed outlet. The other part converts subwatershed outflow into inflow at the next connecting subwatershed inlet. The measured values of rainfall excess are treated as random variables, and are used as input to the rainfall-runoff model. The development of the moment equations of simulated outflow is based on a SDE. The outflow hydrography is obtained by applying the Laplace transform method to the equations that describe rainfall excess.

KW - Laplace transform

KW - Rainfall-runoff model

KW - Stochastic differential equation

KW - Unit-step function

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U2 - 10.1016/S0022-1694(01)00410-3

DO - 10.1016/S0022-1694(01)00410-3

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AN - SCOPUS:0035426197

SN - 0022-1694

VL - 249

SP - 30

EP - 45

JO - Journal of Hydrology

JF - Journal of Hydrology

IS - 1-4

ER -

Stochastic series lumped rainfall-runoff model for a watershed in Taiwan

Abstract

Keywords

ASJC Scopus subject areas

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