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A new multiple integral model for water shortage risk assessment and its application in Beijing, China

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  • Longxia Qian
  • Ren Zhang
  • Mei Hong
  • Hongrui Wang
  • Lizhi Yang

Abstract

In terms of drought years, the assessment of water shortage risk is a significant precondition for taking effective measures to reduce the potential losses. This paper proposes a new multiple integral model for evaluating the risk of water shortage. First, the probability density function for water shortage was simulated. Second, a nonlinear function between vulnerability and its indicators was developed based on projection pursuit. Third, a function of consequence was proposed from the perspective of water-use benefit, and data envelopment analysis was applied to compute the water-use benefit coefficients. Fourth, risk was defined as a double integral in monetary units. Risks in Beijing, used as a case study, are assessed under different inflow scenarios (1956–2012) by using the model. The findings of the study were as follows: In 2020, the vulnerability was shown to vary from 0.93 to 0.99, and the maximum value occurs with the inflow conditions of 1980 and 2009. The probable maximum loss occurs with the inflow condition of 2006, and risk is approximately equal to 0.7 billion CNY. After using the transferred water and reclaimed water, all of the values for consequence vulnerability and risk are reduced, but the situation regarding supply and demand remains at a disadvantage in 2020. Copyright Springer Science+Business Media Dordrecht 2016

Suggested Citation

  • Longxia Qian & Ren Zhang & Mei Hong & Hongrui Wang & Lizhi Yang, 2016. "A new multiple integral model for water shortage risk assessment and its application in Beijing, China," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 80(1), pages 43-67, January.
  • Handle: RePEc:spr:nathaz:v:80:y:2016:i:1:p:43-67
    DOI: 10.1007/s11069-015-1955-8
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    References listed on IDEAS

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    Cited by:

    1. Jenq-Tzong Shiau, 2021. "Analytical Water Shortage Probabilities and Distributions of Various Lead Times for a Water Supply Reservoir," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(11), pages 3809-3825, September.

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