基于BIP模型的绿色流域指标体系优化方法

    Optimization methodology for constructing indicator system of green basins based on Binary Integer Programming model

    • 摘要: 随着中国流域生态保护取得初步进展, 绿色流域建设逐渐成为关注重点。构建合理的评价指标体系可为绿色流域建设的规划与实施提供支持。为此, 提出了一种基于BIP模型的绿色流域指标体系优化方法, 具体流程包括:①初步构建评价指标体系, 并通过数据分析删除缺失数据较多的指标, 提高数据质量; ②采用熵权-CRITIC方法综合确定各个指标的权重, 剔除权重过小的指标, 优化指标体系的代表性; ③通过构建二进制整数规划(BIP)模型, 并结合遗传算法对指标进行编码求解, 从而得到最优的指标体系, 并采用“单指标量化-多指标综合-多准则集成”的评价方法检验优化后的指标体系。以长江流域为例进行实证, 结果表明该方法能够有效筛选出与绿色流域密切相关的25个关键指标。研究成果可为绿色流域的科学管理提供一套有效的指标选择与优化路径。

       

      Abstract: With the initial achievements in basin ecological protection, the advancement of green basins has gained increasing attention. Establishing a rational evaluation indicator system is essential for supporting the planning and implementation of green basin initiatives. This study proposes a method for selecting green basin indicators based on a Binary Integer Programming (BIP) model, aiming to optimize the construction of a green basin indicator system. The methodology includes: ① constructing a preliminary evaluation indicator system and eliminating indicators with significant data gaps through data analysis to improve data quality; ② determining the weight of each indicator using a combined entropy weight and CRITIC method and excluding indicators with extremely low weights to enhance the representativeness of the indicator system; ③ formulating a BIP model and applying a genetic algorithm to solve for the optimal indicator set. A evaluation approach of "single indicator quantification - multi-indicator synthesis - multi-criteria integration" is adopted to validate the optimized indicator system. An empirical study is conducted in the Changjiang River Basin. The results show that the proposed method can effectively identify 25 key indicators closely associated with green basin performance. The research findings provide an effective indicator selection and optimization approach for the scientific management of green basins.

       

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