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Grey system model with time lag and application to simulation of karst spring discharge

Yonghong Hao (Tianjin Key Laboratory of Water Environment and Water Resources, Tianjin Normal University, Tianjin, China)
Yajie Wang (College of Computer and Information Engineering, Tianjin Normal University, Tianjin, China)
Jiaojuan Zhao (College of Urban and Environmental Sciences, Tianjin Normal University, Tianjin, China)
Huamin Li (College of Urban and Environmental Sciences, Tianjin Normal University, Tianjin, China)

Grey Systems: Theory and Application

ISSN: 2043-9377

Article publication date: 28 January 2011

442

Abstract

Purpose

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The purpose of this paper is to introduce the concept of time lag to grey system models, and propose the grey system models with time lags.

Design/methodology/approach

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The models were applied to calculate the time lags between spring flow and precipitation (i.e. hydraulic response time) and simulate karst spring discharge in Liulin Springs Basin, China.

Findings

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The results show that the time lags of Lishi, Zhongyang, and Fangshan are three, five, and eight, respectively. By considering the time lags, we set up the grey system GM(1,4) response model of Liulin Springs discharge to precipitation of Lishi, Zhongyang, and Fangshan.

Originality/value

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The results are in agreement with regional geological structure and provide a better understanding of karst hydrological processes of Liulin Springs Basin.

Keywords

Citation

Hao, Y., Wang, Y., Zhao, J. and Li, H. (2011), "Grey system model with time lag and application to simulation of karst spring discharge", Grey Systems: Theory and Application, Vol. 1 No. 1, pp. 47-56. https://doi.org/10.1108/20439371111106722

Publisher

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Emerald Group Publishing Limited

Copyright © 2011, Emerald Group Publishing Limited

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