Dynamic Water Management: An Optimal Control Approach

摘要

A dynamic water management model is used to determine the socially efficient allocation of the region's ground and surface water resources. The allocation problem is divided into three major areas: (1) spatial allocations, (2) intertemporal allocations and (3) conjunctive use allocations. The management model uses the present value of current use and present value of storage to simultaneously determine all three allocation problems. A linear programming model is formulated to provide shortrun impact analysis of the agricultural sector and to provide derived demands for agricultural water, and a linear quadratic control model is used for determining the socially optimum spatial and intertemporal allocations of water over a thirty-year planning horizon. The two models interact with each other in an iterative procedure permitting overall optimization of the economic and hydrologic system.