A Nonlinear Inexact Two-Stage Management Model for Agricultural Water Allocation under Uncertainty Based on the Heihe River Water Diversion Plan

被引:7
|
作者
Zhang, Chenglong [1 ]
Yue, Qiong [1 ]
Guo, Ping [1 ]
机构
[1] China Agr Univ, Coll Water Resources & Civil Engn, Ctr Agr Water Res China, Beijing 100083, Peoples R China
基金
中国国家自然科学基金;
关键词
two-stage stochastic programming; nonlinear objective; agricultural water allocation; Heihe River ecological water diversion plan; interval regression analysis; STOCHASTIC-PROGRAMMING MODEL; HYDRO-ECONOMIC MODEL; RESOURCES MANAGEMENT; BASIN MANAGEMENT; OPTIMIZATION; SUSTAINABILITY; SIMULATION;
D O I
10.3390/ijerph16111884
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
In this study, a nonlinear inexact two-stage management (NITM) model is proposed for optimal agricultural irrigation water management problems under uncertainty conditions. The model is derived from incorporating interval parameter programming (IPP), two-stage stochastic programming (TSP) and quadratic programming (QP) within the agricultural water management model. This model simultaneously handles uncertainties not only in discrete intervals, but also in probability distributions, as well as nonlinearity in the objective function. A concept of the law of diminishing marginal utility is introduced to reflect the relationship between unit benefits and allocated water, which can overcome the limitation of general TSP framework with a linear objective function. Moreover, these inexact linear functions of allocated water can be obtained by an interval regression analysis method. The model is applied to a real-world case study for optimal irrigation water allocation in midstream area of the Heihe River Basin in northwest China. Two Heihe River ecological water diversion plans, i.e., the original plan and an improved plan, will be used to determine the surface water availabilities under different inflow levels. Four scenarios associated with different irrigation target settings are examined. The results show that the entire study system can arrive at a minimum marginal utility and obtain maximum system benefits when optimal irrigation water allocations are the deterministic values. Under the same inflow level, the improved plan leads to a lower water shortage level than that of the original plan, and thus leads to less system-failure risk level. Moreover, the growth rate of the upper bound of economic benefits between each of two scenarios based on the improved plan are greater than that from the original plan. Therefore, these obtained solutions can provide the basis of decision-making for agricultural water allocation under uncertainty.
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页数:18
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