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尺度耦合-层级博弈下灌区水资源优化配置

Optimal water allocation in irrigation districts considering scale coupling and hierarchical games

  • 摘要: 灌区是一个高度复杂的农业系统,在管理规划中涉及农田灌溉、渠系输水到灌区供水的多尺度过程,同时在单一尺度内也存在灌区、农场等多层级管理决策主体。当前在灌区水资源配置研究中,对跨尺度、跨层级的水量协调与动态互馈关系考虑不足,一定程度上割裂了灌区水资源系统配置的整体性。该研究通过融合大系统分解-协调理论与双层规划构建“尺度耦合-层级博弈”灌区水资源协同优化模型,通过农田灌溉-渠系多层级输水-灌区供水的联动协同,实现灌区水资源日尺度的精细灌溉配置。基于NSGA-Ⅱ构建不同尺度间自动循环迭代的水资源协同优化算法,实现单一尺度调控与整体系统优化,提升灌区水资源利用效率,缓解多层级决策者间用水需求冲突。黑龙江省青龙山灌区研究结果表明,该模型可有效满足灌区水资源在“需水-输水-供水”上的协同调控与高效配置。优化后水分生产力提升18%,不同渠系决策主体间用水冲突减少9.1%。与单一尺度优化模型相比,该模型可减少灌区24%供水量,单位水资源所产生的经济净收益提高19%,渠系输水损失减少4.1%。研究通过“尺度耦合”与“层级博弈”强化了“农田-渠系-灌区”间资源配置的联动性,为实现灌区水资源高效管理提供了理论支撑与技术路径。

     

    Abstract: As a highly complex agricultural system, the irrigation district involves multi-scale processes ranging from farmland irrigation and canal system water conveyance to irrigation district water supply in its management and planning, with the coexistence of multi-level decision-makers such as farm managers and irrigation district administrators. Current research on irrigation district water resources allocation inadequately considers the cross-scale and cross-level water quantity coordination as well as dynamic interaction and feedback relationships, which to a certain extent separates the integrity of the optimal allocation of irrigation district water resources systems. To address this, we integrate large-scale system decomposition-coordination theory with bi-level programming to develop a novel scale-coupled and hierarchical game-based optimization model. This model establishes a cross-scale dynamic feedback mechanism linking field irrigation schedules, multi-level canal water allocation, and irrigation district water supply decisions, thus achieving daily-scale refined water management in the irrigation district. An intelligent cyclic algorithm automates the cross-scale ‘optimization-feedback’ process, ensuring consistency between single-scale control and system-wide optimization. This method not only improves irrigation water use efficiency but also enhances the coordination among different management entities. Using the Qinglongshan Irrigation District in Heilongjiang Province as a case study, we validated the model's effectiveness. Results show that the model achieves multi-scale coordination and efficient water allocation: compared with conventional irrigation practices, the optimized scheme increases water productivity by 18%. The performance of this model is significantly superior to that of isolated single-scale optimization models—using only the field-scale model increases irrigation water use by 9%; adopting only the canal-scale bi-level programming model results in a 4.1% rise in water conveyance losses, which highlights the advantage of the proposed model in balancing cross-scale benefit trade-offs. In comparison with the integrated model developed in this study, the standalone district-scale model increases water diversion by 24% and reduces economic water productivity by 19%, indicating that the established unified framework can effectively avoid resource waste and suboptimal solutions caused by local-scale optimization. The bi-level programming module in the model can effectively capture the hierarchical decision-making attributes among water users, improving the coordination index of water allocation schemes by 9.1%. By establishing a closed-loop regulatory mechanism of "demand-allocation-supply", this study bridges the gap between system integrity and scale adaptability, providing a theoretical basis and practical tool for achieving resilient, efficient, and coordinated agricultural water management in large-scale irrigation districts with multiple water sources and administrative levels.

     

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