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Coupling Variable Fuzzy Sets and Gini Coefficient to Evaluate the Spatial Equilibrium of Water Resources

  • WATER RESOURCES AND THE REGIME OF WATER BODIES
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Abstract

It has been a consensus that water resources are unevenly distributed in space, often resulting in imbalance between water demand and supply. Quantitative characterization of this inequality of water resources in a region can help prioritize water management by identifying marginalized regions with comprehensive considerations. A framework for evaluating spatial equilibrium of water resources has been proposed by coupling variable fuzzy sets and Gini coefficient methods in this study. The framework was then demonstrated by its application to the Yangtze River Economic Belt (YEB) in China to analyze the dynamics of the spatial equilibrium of its water resources from 2009 to 2018 using three indicators, namely, water resources load index, water and soil matching coefficient and water use benefit. The results show that the spatial equilibrium state of water resources in the YEB is stable in a critical state throughout the period of study, with slight fluctuations. The inequality of water resources load is the main disturbance factor, providing the water management priority toward a better balance between water resources utilization and demand.

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REFERENCES

  1. Atkinson, A.B., On the measurement of inequality, J. Economic Theory, 1970, vol. 2, no. 3, pp. 244–263.

    Article  Google Scholar 

  2. Barr, N., The Economics of the Welfare State, Stanford, USA: Stanford Univ. Press, 1987.

    Google Scholar 

  3. Bosi, S. and Seegmuller, T., Optimal cycles and social inequality: What do we learn from the Gini index? Res. Economics, 2006, vol. 60, no. 1, pp. 35–46.

    Article  Google Scholar 

  4. Cao, W., Regional ecological equity and its influencing factors, Statistics Decision, 2019, vol. 35, no. 07, pp. 105–108.

    Google Scholar 

  5. Carlos, M.M. and Mark, G.S., Water resources assessment: A spatial equilibrium approach, Water Resour. Res., 1988, vol. 24, no. 6, pp. 793–801.

    Article  Google Scholar 

  6. Chen, S.Y., Theory and model of engineering variable fuzzy set—Mathematical basis for fuzzy hydrology and water resources, J. Dalian Univ. Technol., 2005, vol. 45, no. 02, pp. 308–312.

    Google Scholar 

  7. Chen, S.Y., Variable sets and the theorem and method of optimal decision making for water resource system, J. Hydraul. Eng., 2012, vol. 43, no. 09, pp. 1066–1074.

    Google Scholar 

  8. Gunasekara, N.K., Kazama, S., Yamazaki, D., and Oki, T., Water conflict risk due to water resource availability and unequal distribution, Water Resour. Manage., 2014, vol. 28, no. 1, pp. 169–184.

    Article  Google Scholar 

  9. He, G., Chai, J., Qin, Y., Xu, Z., and Li, S., Coupled model of variable fuzzy sets and the analytic hierarchy process and its application to the social and environmental impact evaluation of dam breaks, Water Resour. Manage., 2020, vol. 34, no. 9, pp. 2677–2697.

    Article  Google Scholar 

  10. Jin, J., Li, J., Wu, C., He, J., Guo, X., Zhang, H., Chen, M., and Chen, L., Research progress on spatial equilibrium of water resources, J. North China Univ. Water Resour. Electric Power (Natural Sci. Edition), 2019, vol. 40, no. 06, pp. 47–60.

  11. Kakwani, N.C., Applications of Lorenz curves in economic-analysis, Ecomometrica, 1977, vol. 45, no. 3, pp. 719–727.

    Article  Google Scholar 

  12. Murray, A.T., Gober, P., Anselin, L., Rey, S.J., Sampson, D., Padegimas, P.D., and Liu, Y., Spatial optimization models for water supply allocation, Water Resour. Manage., 2012, vol. 26, no. 8, pp. 2243–2257.

    Article  Google Scholar 

  13. Shu, H. and Xiong, P., The construction of a mixed environment Gini coefficient and its application in the evaluation of industrial economic and ecological spatial equilibrium, Math. Practice Theory, 2018, vol. 48, no. 13, pp. 9–17.

    Google Scholar 

  14. Wang, Y., Zuo, Q., Liu, H., and Shi, S., Equilibrium analysis of the matching characteristics of water and soil resources in Henan Province, Yellow River, 2018, vol. 40, no. 04, pp. 55–59.

    Google Scholar 

  15. Xia, F., Chen, Y., Dou, M., and Han, Y., Calculation method and application of spatial equilibrium coefficient of water resources, Water Resour. Prot., 2020, vol. 36, no. 01, pp. 52–57.

    Google Scholar 

  16. Yan, F., Liu, L., Zhang, Y., Chen, M., and Chen, N., The research of dynamic variable fuzzy set assessment model in water quality evaluation, Water Resour. Manage., 2016, vol. 30, no. 1, pp. 63–78.

    Article  Google Scholar 

  17. Yang, Y., Gong, S., Wang, H., Zhao, Z., and Yang, B., New model for water resources spatial equilibrium evaluation and its application, Advances Water Sci., 2021, vol. 32, no. 01, pp. 33–44.

    Google Scholar 

  18. Zhang, J., A convenient method to calculate Gini coefficient, J. Shanxi Agricultural Univ. (Social Sci. Ed.), 2007, vol. 6, no. 3, pp. 275–278.

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Funding

This research was supported by the National Natural Science Foundation of China (Grant no. 51879010), the National Key Research and Development Program of China (2018YFC0407900 and 2019YFC0408902), the Graduate Innovation Fund in Beijing Key Laboratory of Urban Hydrological Cycle and Sponge City Technology (HYD2020IFDC03) and the 111 Project (Grant no. B18006).

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Authors and Affiliations

Authors

Contributions

Yafeng Yang: Conceptualization, Methodology, Validation, Data curation, Data interpretation, Drafting manuscript. Hongrui Wang: Supervision, Resources, Funding acquisition. Cheng Wang: Conceptualization, Methodology, Drafting manuscript. Yuanyuan Zhang: Methodology, Software, Calculation and results analysis, Validation.

Corresponding author

Correspondence to Hongrui Wang.

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The manuscript has not been published elsewhere, and it has not been submitted simultaneously for publication elsewhere. We also have no conflicts of interest to disclose. All authors have seen and approved the manuscript and have contributed significantly to the paper. The authors declare no conflict of interest.

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Yang, Y., Wang, H., Wang, C. et al. Coupling Variable Fuzzy Sets and Gini Coefficient to Evaluate the Spatial Equilibrium of Water Resources. Water Resour 49, 292–300 (2022). https://doi.org/10.1134/S0097807822020154

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  • DOI: https://doi.org/10.1134/S0097807822020154

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