Grey system model with time lag and application to simulation of karst spring discharge
Abstract
Purpose
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
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
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
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
:Emerald Group Publishing Limited
Copyright © 2011, Emerald Group Publishing Limited