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Water Carrying Capacity Evaluation Method Based on Cloud Model Theory and an Evidential Reasoning Approach

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  • Wenzhi Cao

    (School of Frontier Crossover Studies, Hunan University of Technology and Business, Changsha 410205, China)

  • Jilin Deng

    (School of Frontier Crossover Studies, Hunan University of Technology and Business, Changsha 410205, China)

  • Yi Yang

    (School of Frontier Crossover Studies, Hunan University of Technology and Business, Changsha 410205, China)

  • Yangyan Zeng

    (School of Frontier Crossover Studies, Hunan University of Technology and Business, Changsha 410205, China)

  • Limei Liu

    (School of Frontier Crossover Studies, Hunan University of Technology and Business, Changsha 410205, China)

Abstract

The scientific and reasonable evaluation of the carrying capacity of water resources is of guiding significance for solving the issues of water resource shortages and pollution control. It is also an important method for realizing the sustainable development of water resources. Aiming at an evaluation of the carrying capacity of water resources, an evaluation model based on the cloud model theory and evidential reasoning approach is studied. First, based on the existing indicators, a water resources evaluation index system based on the pressure-state-response (PSR) model is constructed, and a classification method of carrying capacity grade is designed. The cloud model theory is used to realize the transformation between the measured value of indicators and the degree of correlation. Second, to obtain the weight of the evaluation index, the weight method of the index weights model based on the entropy weight method and evidential reasoning approach is proposed. Then, the reliability distribution function of the evaluation index and the graded probability distribution of the carrying capacity of water resources are obtained by an evidential reasoning approach. Finally, the evaluation method of the carrying capacity of water resources is constructed, and specific steps are provided. The proposed method is applied to the evaluation of water resources carrying capacity for Hunan Province, which verifies the feasibility and effectiveness of the method proposed in the present study. This paper applies this method of the evaluation of the water resources carrying capacity of Hunan Province from 2010 to 2019. It is concluded that the water resources carrying capacity of Hunan Province belongs to III~V, which is between the critical state and the strong carrying capacity state. The carrying capacity of the province’s water resources is basically on the rise. This shows that the carrying capacity of water resources in Hunan Province is in good condition, and corresponding protective measures should be taken to continue the current state.

Suggested Citation

  • Wenzhi Cao & Jilin Deng & Yi Yang & Yangyan Zeng & Limei Liu, 2022. "Water Carrying Capacity Evaluation Method Based on Cloud Model Theory and an Evidential Reasoning Approach," Mathematics, MDPI, vol. 10(2), pages 1-17, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:266-:d:725865
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    References listed on IDEAS

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    1. Safavi, Hamid R. & Enteshari, Sajad, 2016. "Conjunctive use of surface and ground water resources using the ant system optimization," Agricultural Water Management, Elsevier, vol. 173(C), pages 23-34.
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    Cited by:

    1. Penglong Wang & Yao Wei & Fanglei Zhong & Xiaoyu Song & Bao Wang & Qinhua Wang, 2022. "Evaluation of Agricultural Water Resources Carrying Capacity and Its Influencing Factors: A Case Study of Townships in the Arid Region of Northwest China," Agriculture, MDPI, vol. 12(5), pages 1-24, May.
    2. Ying Zhang & Xiaomeng Song & Xiaojun Wang & Zhifeng Jin & Feng Chen, 2023. "Multi-Level Fuzzy Comprehensive Evaluation for Water Resources Carrying Capacity in Xuzhou City, China," Sustainability, MDPI, vol. 15(14), pages 1-25, July.
    3. Ziwei Chen & Chengyu Xie & Guanpeng Xiong & Jinbo Shen & Baolin Yang, 2023. "Using the Morgenstern–Price Method and Cloud Theory to Invert the Shear Strength Index of Tailings Dams and Reveal the Coupling Deformation and Failure Law under Extreme Rainfall," Sustainability, MDPI, vol. 15(7), pages 1-24, March.
    4. Mengjiao Wang & Xiaofang Xu & Liyuan Zheng & Xiaolu Xu & Yukuo Zhang, 2023. "Analysis of the Relationship between Economic Development and Water Resources–Ecological Management Capacity in China Based on Nighttime Lighting Data," IJERPH, MDPI, vol. 20(3), pages 1-19, January.

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