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Spatiotemporal imbalance of regional water shortage risk based on copulas and concentration index
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  • Published: 21 February 2026

Spatiotemporal imbalance of regional water shortage risk based on copulas and concentration index

  • Tanghui Qian1,2,
  • Dingjie Zhou2,
  • Zhihua Yuan3,
  • Xin Li4,
  • Wenfei Xi1,
  • Shixiang Gu5,
  • Jinming Chen5,
  • Xiankai Li6,
  • Zhike Zhang7 &
  • …
  • Zhen Guo1 

Scientific Reports , Article number:  (2026) Cite this article

We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Hydrology
  • Natural hazards

Abstract

Water resources are essential for human survival and development. Ensuring sufficient water supply to meet living, production, and ecological demands has emerged as a critical challenge for regions facing water scarcity. In response to the increasingly severe water shortage in Central Yunnan, the Chinese government has invested over 100 billion yuan in implementing the Central Yunnan Water Diversion Project (CYWDP). Accurately assessing and predicting the project’s impact on water shortage risk and its spatiotemporal imbalance in the receiving regions is crucial for fostering sustainable and high-quality regional development. In this study, we propose an integrated methodological framework that combines Copula functions with a concentration index to evaluate the effects of the CYWDP on water shortage risk and its spatiotemporal imbalance in the Yuxi water-receiving area. First, based on risk theory, we develop a water shortage risk assessment model by integrating Kernel Density Estimation (KDE) with Copula functions to evaluate water shortage risk under various scenarios. This model accounts for the heterogeneous importance of domestic, industrial, agricultural, and ecological water uses. Second, a simplified concentration index is introduced to quantify the spatiotemporal imbalance of water shortage risk. The results reveal that: (1) Water shortage risk in the Yuxi water-receiving area exhibits strong seasonality, with spring being the highest-risk period, in approximately 80% of years falling into moderate-risk zones. Interannual variability in risk is high and strongly negatively correlated with precipitation, and only in wet years can water supply security be effectively ensured. (2) Due to differences in precipitation, groundwater availability, and the number of water storage projects, sub-regions display heterogeneous distributions of water shortage risk, with significant spatial imbalance. Intra annual variations are also evident, and more pronounced in dry years compared with wet years. (3) Without considering the supplemental supply from the CYWDP, the receiving area is projected to enter a high-risk zone by 2030 and 2040. However, with the CYWDP, the overall risk is expected to decrease to a moderate level by 2030, and by 2040, increased water transfers could alleviate risks and mitigate spatial imbalances. This study provides critical insights for evaluating the socio-economic benefits of the CYWDP and offers guidance for water resource allocation strategies. Moreover, the proposed framework serves as a methodological reference for analogous studies.

Data availability

The raw data supporting the conclusions of this article will be made available by the corresponding author on request.

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Acknowledgements

Acknowledgments: The authors would like to thank the National Meteorological Science Data Center for providing the precipitation data free of charge and the editors and reviewers for their comments and suggestions, which have helped to improve this manuscript.

Funding

The authors gratefully acknowledge the financial support from the Demonstration project of comprehensive government management and large-scale industrial application of the major special project of CHEOS (No. 89-Y50G31-9001-22/23 − 05) and the Open Funds of the Key Laboratory of Mountain Hazards and Engineering Resilience, Chinese Academy of Sciences (No. KLMHER-K25).

Author information

Authors and Affiliations

  1. Faculty of Geography, Yunnan Normal University, Kunming, China

    Tanghui Qian, Wenfei Xi & Zhen Guo

  2. Surveying and Mapping Engineering Institute of Yunnan Province, Kunming, China

    Tanghui Qian & Dingjie Zhou

  3. Citic Zhengye Investment Co., Ltd, Beijing, China

    Zhihua Yuan

  4. Map Institute of Yunnan Province, Kunming, China

    Xin Li

  5. Yunnan Institute of Water & Hydropower Engineering Investigation, Design and Research, Kunming, China

    Shixiang Gu & Jinming Chen

  6. Kunming Engineering Corporation Limited, Kunming, China

    Xiankai Li

  7. Dali Branch of Yunnan Hydrology and Water Resources Bureau, Kunming, China

    Zhike Zhang

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Contributions

T.Q. and W.X. wrote the main manuscript text; methodology, T.Q. and X.L.; software, T.Q. and Z.Z.; validation, J.C. and Z.G.; formal analysis, T.Q. and W.X.; resources, S.G., and X.L.; data curation, Xiankai Li; original draft preparation, T.Q. and S.G.; project administration, D.Z.; funding acquisition, S.G., and Z.Y.; All authors reviewed the manuscript.

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Correspondence to Wenfei Xi or Shixiang Gu.

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Qian, T., Zhou, D., Yuan, Z. et al. Spatiotemporal imbalance of regional water shortage risk based on copulas and concentration index. Sci Rep (2026). https://doi.org/10.1038/s41598-026-41016-1

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  • Received: 24 April 2025

  • Accepted: 17 February 2026

  • Published: 21 February 2026

  • DOI: https://doi.org/10.1038/s41598-026-41016-1

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Keywords

  • Central Yunnan Water Diversion Project
  • Yuxi Water-Receiving area
  • Water shortage risk
  • Spatiotemporal Imbalance
  • Assessment framework
  • Copula
  • Concentration index
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