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Multiobjective optimization for sustainable groundwater management in semiarid regions James McPhee, University of California, Los Angeles (on leave from Universidad de Chile) William W-G. Yeh, University of California, Los Angeles
ABSTRACT: Increasing demands for water by competing users in semiarid regions
pose new challenges for water resources managers. Decision makers must
understand the interactions between surface water, groundwater, and the
environmental system. Additionally, the decisions made with regard to water
transfer and allocation must take into consideration the diverse objectives
that include water supply, cost efficiency, and ecosystem protection. The work
presented herein demonstrates the use of groundwater simulation and
optimization to construct a decision support system (DSS) for solving a
groundwater management problem associated with the Upper San Pedro River Basin,
located in southeastern Arizona. The case is treated as a multiobjective
optimization problem in which environmental objectives are explicitly
considered by minimizing the magnitude and extent of drawdown within a
prespecified region. The approach adopted uses the constraint method to derive
the tradeoffs among three competing objectives. Once the proposed algorithm
identifies a set of efficient solutions (alternatives), concepts borrowed from
fuzzy set theory are applied to rank the alternatives and to assist decision
makers in selecting a suitable policy among them, each of which is optimum with
regard to its goal and the corresponding consequences.
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