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Water allocation optimization in the Orontes River Basin

Water allocation optimization in the Orontes River Basin. Georges Comair and Raquel Flinker. Outline. Description of the setting UN Convention and Factors Associated with Equitable Water Use Optimization function Optimal allocation results. The Orontes River Basin.

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Water allocation optimization in the Orontes River Basin

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  1. Water allocation optimization in the Orontes River Basin Georges Comair and Raquel Flinker

  2. Outline • Description of the setting • UN Convention and Factors Associated with Equitable Water Use • Optimization function • Optimal allocation results

  3. The Orontes River Basin

  4. Factors Associated with Equitable Water Use • Geography • Hydrology • Climate • Past utilization of the waters • Economic and social needs • Population dependent on the waters • Comparative costs of alternative means of satisfying the economic and social needs of each basin state • Availability of other water resources • Degree to which the needs of a basin state may be satisfied, without causing appreciable harm and substantial injury to a co-basin state.

  5. Factor 1: Geography

  6. Factor 2: Hydrology

  7. Factor 3: Climate

  8. Factor 4: Existing Utilization

  9. Factor 5: Economic and Social Needs • Water demand that meets Economic and social needs. • Syria does not use its water resources very efficiently

  10. Factor 6: Population Dependent on Waters

  11. Factor 7: Comparative Costs of Alternatives

  12. Factor 8: Availability of Other Resources • Water Stress Index

  13. Factor 9: Appreciable Harm • Can be measured by impacts on social, economic and environmental needs.

  14. Class Survey • Geography • Hydrology • Climate • Existing utilization • Economic and social needs (water demand) • Population dependent on waters of the basin • Comparative costs of alternative (GDP) • Availability of other resources (Water Stress Index) • Appreciable harm

  15. Optimization • Minimize E = 2 • Xij is the share of the ith factor for the jthcountry (%) • Aj is the proportion of the total water that each country should receive (%) • Wi (%) is the weight to be given to each factor taken from the class survey

  16. Existence of Solutions • Weierstrass Theorem • Describes conditions on the objective function and the constraint set so that we are guaranteed that solutions will always exist • Constraint set is compact (closed and bounded) • Objective function is continuous on the constraint set

  17. Optimization results

  18. Questions • What additional factors do you think should be included in this analysis? • Do you agree with the assumptions made for each factor?

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