基于联系数和洛伦兹曲线的水资源空间均衡评价方法

Water resources spatial equilibrium evaluation method based on connection number and Lorenz curve

  • 摘要: 为充分体现评价过程中各子区域对整个区域水资源空间均衡状况的定量影响,提出了基于联系数和洛伦兹曲线的评价方法。分别构建水资源总量与耕地面积、人口数量、第二产业GDP 3对匹配关系的洛伦兹曲线,计算基于纵向距离的评价样本值;应用集对分析理论计算样本值联系数并确定均衡等级,同时与基尼系数法对比。安徽省的实证研究结果表明:安徽省2011—2018年水资源总量—耕地面积、水资源总量—人口数量、水资源总量—第二产业GDP均总体呈现空间不均衡状态;水资源总量—耕地面积、水资源总量—人口数量的均衡程度有所改善,而水资源总量—第二产业GDP均衡形势仍较为严峻,亟需改善。该研究为区域水资源空间均衡定量评价提供了新的有效途径。

     

    Abstract: In this study, an evaluation approach based on the connection number and Lorenz curve was proposed to investigate the quantitative impact of each sub-region on the spatial equilibrium of the water resources in the entire region during the evaluation process. The Lorentz curves connecting the total amount of water resources with cultivated land area, population and the secondary industry GDP were constructed, respectively, where the evaluation sample value based on the vertical distance was calculated. Meanwhile, the connection number of the sample was calculated via the set pair analysis, followed by the determination of equilibrium level and the comparison with the Gini coefficient method. Application of the proposed approach to Anhui Province of 2011—2018 revealed that the overall spatial imbalance status existed between the total amount of water resources and cultivated land area, population size along with the secondary industry GDP, respectively. In contrast, the level of equilibrium between the total amount of water resource and cultivated land area, population size has been ameliorated, while the equilibrium status of the total amount of water resource and the GDP of secondary industry remained serious that require further improvement. With the quantitative estimations, it offers a novel and effective way for estimating the spatial equilibrium of regional water resources.

     

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