Abstract

This study investigates the water supply risk of Panjiakou reservoir in the Luanhe River basin of China during 1956–2016 under environmental change. Since the monthly runoff series during 1956–2016 is a time series with change points, it is necessary to find a new stochastic streamflow series generation approach to preserve the statistical characteristics of the original series and to refine the reliability of water supply risk analysis. This paper improves a known stochastic streamflow simulation method of previous research to better reflect the characteristics of series with change points. And this paper simulates the monthly runoff series with change point of Panjiakou reservoir during 1956–2016 by three different methods, including Thomas–Fiering model, copula function stochastic simulation method, and copula function stochastic simulation method with the mixed distribution model. Among the three methods, the copula function stochastic simulation method with the mixed distribution model which is improved on the basis of copula function stochastic simulation method in this study performs best in simulating the observed monthly runoff series during 1956–2016, and the water supply risk indices including reliability (time-based and volume-based), resilience, vulnerability, drought risk index (DRI), and sustainability index (SUI) are evaluated for Panjiakou reservoir and analyzed by using the stochastic simulation results. By comparing with the previous studies, all indicators are between the corresponding results of 1956–1979 and 1980–2016 with stationary inflows; it can be seen that change point seriously affects the water supply risk of Panjiakou reservoir. These results make it easy to formulate water supply strategies and schemes in changing environment for water resources managers.

Highlights

  • Dams and reservoirs play a pivotal role in the development of the country

  • By comparing the simulation results of the T-F model, C(1) model, and C(m) model, the C(m) model performs best in preserving and reflecting the original sequence of statistical parameters. is proves that the C(m) model which uses mixed distribution can optimize the C(1) model to some extent. It can better simulate the statistical characteristics of the monthly runoff series with change point of Panjiakou reservoir by the C(m) model, so the C(m) model is used in the stochastic simulation to calculate water supply risk of Panjiakou reservoir

  • Compared with the other two methods, root-mean-squared error (RMSE) of the C(m) model is the lowest in standard deviation, variation coefficient CV, and monthly flow skewness CS. e copula function stochastic simulation method with mixed distribution model is the best method to preserve the statistical characteristics of runoff series with change point of Panjiakou reservoir during 1956–2016

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Summary

Introduction

Dams and reservoirs play a pivotal role in the development of the country. It is the most expensive element in the multipurpose river basin. Ree classical indicators (reliability, resilience, and vulnerability) were proposed to calculate the water supply risk of reservoirs and were defined mathematically [4]. Some composite indicators have been planned in order to better assess supply risk of the water resource system. Is was in the first time that the three indicators of reliability, resilience, and vulnerability were weighted separately and collaboratively and drought risk index (DRI) is established to describe the probability and loss degree of water supply Based on the three single indicators proposed by Hashimoto et al [4], Xu et al [1] put forward two composite indicators, including drought risk index (DRI) and drought damage index (DDI), and conducted a risk analysis of the water supply system in Fukuoka. is was in the first time that the three indicators of reliability, resilience, and vulnerability were weighted separately and collaboratively and drought risk index (DRI) is established to describe the probability and loss degree of water supply

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