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基于Pareto解集的多目标农业水土资源优化配置模型 被引量:16

A Multi-Objective Programming Model for Irrigation Water and Planting Structure Optimization Based on Pareto Set
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摘要 考虑农业系统中水资源与土地资源相互联系、相互影响的特征,本研究建立非线性多目标水土资源联合配置模型.模型基于二次水分生产函数,以灌区总灌溉净效益最大和用水效率最大为目标,对不同作物不同月份的地表水灌溉水量和地下水灌溉水量、灌区种植结构进行联合优化配置.针对传统的求解方法造成结果信息丢失等问题,本研究使用遗传算法求解此复杂非线性多目标模型的 Pareto 解集.将模型应用于黑河流域中游盈科灌区,得到 194 组非劣的水土资源分配方案.结果表明:Pareto 解集不仅可以直观展示出目标之间相互博弈的状态,而且可以全面展现出水土资源分配的博弈状态,以及随着目标倾向性改变,作物的重要性也可能随之改变的过程.该模型统筹考虑了地表水与地下水资源、水资源与土地资源、灌溉净效益与水资源利用效率之间的关系,将其内在复杂的博弈关系清晰地展现出来,可以为实际应用提供更丰富的决策支持信息. A nonlinear multi-objective programming model was established for irrigation water and planting structure allocation considering the characteristics of the interaction and the mutual influence between water and land resources in agricultural systems. With the goal of maximum net irrigation benefit and maximum water efficiency in the irriga- tion area,the proposed model is established based on the secondary crop water production function in the entire growth period. This model optimizes the allocation of monthly surface water and ground water for each crop as well as the irrigation area planting structure. This study used genetic algorithm to solve the Pareto optimal set of this complex nonlinear multi-objective programming to solve the problem involving loss of result information caused by the tradi- tional solution method. The model was applied to the Yingke irrigation district in the Heihe River Basin;194 groups of non-inferior water and land resources allocation schemes were obtained. Results show that the Pareto optimal set can clearly reflect the game process among targets as well as between land and water resources;moreover,it can fully demonstrate that the process of importance to the crops will change as the target tends to change. The model con- siders not only the relationship between surface water and groundwater resources but also between water resources and land resources;it also examines the net benefits of irrigation and water use efficiency. These results can provide valuable information that can help in forming decisions pertaining to a wide range of practical applications.
作者 郭萍 单宝英 郭珊珊 Guo Ping;Shan Baoying;Guo Shanshan(School of Water Resources and Civil Engineering,China Agriculture University,Beijing 100083,China)
出处 《天津大学学报(自然科学与工程技术版)》 EI CSCD 北大核心 2019年第10期1008-1016,共9页 Journal of Tianjin University:Science and Technology
基金 国家自然科学基金重点资助项目(51439006)~~
关键词 PARETO 解集 水土资源优化 多目标 盈科灌区 Pareto optimal set irrigation water and planting structure optimization multi-objective Yingke irrigation area
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