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Multiobjective Linear Model Optimize Water Distribution in Mexican Valley

Author

Listed:
  • R. Salazar Moreno

    (Universidad Autónoma Chapingo)

  • F. Szidarovszky

    (The University of Arizona)

  • A. Rojano Aguilar

    (Universidad Autónoma Chapingo)

  • I. López Cruz

    (Universidad Autónoma Chapingo)

Abstract

A multiobjective optimization model is developed for the Mexican Valley to find optimal water distribution scenarios for three water users: agriculture, industry and domestic. Surface, ground, treated and imported water supplies are considered. The model with three objectives and 15 constraints was solved by the distance based method with distance l 1. Three scenarios and two priorities were analyzed for this problem. In Scenario 1, actual aquifer overexploitation and treated water usage were allowed. Scenario 2 considered the reduction of water extraction from the aquifer to one billion m3 (59%), and increased usage of treated water in agriculture by 50%. In Scenario 3, we assume aquifer sustainability and increasing surface water usage by 857 mill m3/year. The last scenario is the best because, in the worst case, the farmers can cover one season and also some crops in the second season, and the domestic users can get more water than their minimum demand. In addition, aquifer sustainability is implemented, which can reduce aquifer overexploitation. The waste water disposal problem, which is critical in this area, also can be reduced.

Suggested Citation

  • R. Salazar Moreno & F. Szidarovszky & A. Rojano Aguilar & I. López Cruz, 2010. "Multiobjective Linear Model Optimize Water Distribution in Mexican Valley," Journal of Optimization Theory and Applications, Springer, vol. 144(3), pages 557-573, March.
    • Handle: RePEc:spr:joptap:v:144:y:2010:i:3:d:10.1007_s10957-009-9608-2
    DOI: 10.1007/s10957-009-9608-2
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