基于雨洪管理模型与NSGA-Ⅱ的低影响开发设施空间布局多目标优化与效益分析

Multi-objective optimization and benefit analysis of spatial layout of LID facilities based on stormwater management model and NSGA-Ⅱ

  • 摘要: 以北京市某建成小区为例,利用该小区的地形、雨水管网等数据,构建了研究区雨洪管理模型.评估了低影响开发设施对雨洪削减本身的贡献,同时通过货币化方法对设施的初始投资成本、维护成本以及其在生命周期内提供的生态系统服务价值进行了计算,并对其进行贴现处理,最后将雨洪管理模型与效益评估进行结合,构成了耦合优化模型.考虑到低影响开发设施在生命周期内维护成本和生态系统服务价值的增长潜力,利用非支配排序遗传算法(NSGA-Ⅱ)对低影响开发设施的空间布局进行优化,以设施面积为决策变量,以径流削减率和净成本为目标函数,利用熵权-TOPSIS法对铺设方案进行综合评价与方案优选.在满足相关约束条件的前提下,实现了76.3%的径流削减率,综合净成本为1.4×106元.本研究通过对低影响开发设施的综合效益进行评估,旨在为海绵城市建设提供更全面的决策依据,促进水资源的再利用和城市环境的改善,为实现碳达峰、碳中和目标提供重要的城市生态支持和减排途径.本研究的算法和设施附加价值的货币化结果具有一定的普适性,根据工程实际对参数进行适当调整后可适用于其他研究区,为这些区域的低影响开发设施布局优化提供了参考.

     

    Abstract: LID facilities play an important role in regulating extreme rainfall, resisting flood disasters, and improving the construction of "sponge cities". However, their design often ignores the ecosystem environmental benefits of LID facilities, and there is a lack of evaluation methods for the comprehensive benefits of facilities. Realizing the layout and optimization of LID facilities at small and medium scales and incorporating various added values of LID facilities into the comprehensive evaluation system has become one of the research hotspots in this field. Taking a built-up community in Beijing as an example, this paper constructs a stormwater management model for the study area using data such as the terrain and rainwater pipe network of the community. At the same time, the benefits of LID facilities on stormwater reduction are evaluated, that is, the ecosystem service value brought by the facilities is evaluated through a monetization method, including the initial investment cost, maintenance cost and ecosystem service value provided by the facilities during their life cycle, and the discount is performed. The stormwater management model is combined with the benefit evaluation to form a coupled optimization model. Considering the growth potential of maintenance cost and ecosystem service value of LID facilities during their life cycle, the spatial layout of LID facilities was optimized by non-dominated sorting genetic algorithm (NSGA-Ⅱ). The facility area was used as the decision variable, and the runoff reduction rate and net cost were used as the objective function. The entropy weight-TOPSIS method was used to comprehensively evaluate and optimize the laying scheme. Under the premise of meeting the relevant constraints, a runoff reduction rate of 76.3% was achieved, and the comprehensive net cost was 1.4×106 yuan. This study aims to provide a more comprehensive decision-making basis for sponge city construction, promote the reuse of water resources and the improvement of urban environment, and provide important urban ecological support and emission reduction channels for achieving carbon peak and carbon neutrality goals by evaluating the comprehensive benefits of LID facilities. The algorithm and the monetization results of the added value of the facilities in this study have a certain degree of universality. After appropriate adjustment of the parameters according to the actual engineering, they can be applied to other study areas, providing a reference for the optimization of the layout of LID in these areas.

     

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