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Spatial Optimization Models for Water Supply Allocation

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  • Alan Murray
  • Patricia Gober
  • Luc Anselin
  • Sergio Rey
  • David Sampson
  • Paul Padegimas
  • Yin Liu

Abstract

Climate change is likely to result in increased aridity, lower runoff, and declining water supplies for the cities of the Southwestern United States, including Phoenix. The situation in Phoenix is particularly complicated by the large number of water providers, each with its own supply portfolio, demand conditions, and conservation strategies. This paper details spatial optimization models to support water supply allocation between service provider districts, where some districts experience deficits and others experience surpluses in certain years. The approach seeks to reconcile and integrate projections derived from a complex simulation model taking into account current and future climate conditions. The formulated and applied models are designed to help better understand the expected increasingly complex interactions of providers under conditions of climate change. Preliminary results show cooperative agreements would reduce spot shortages that would occur even without climate change. In addition, they would substantially reduce deficits if climate change were to moderately reduce river flows in Phoenix’s major source regions, but have little effect under the most pessimistic scenarios because there are few surpluses available for re-allocation. Copyright Springer Science+Business Media B.V. 2012

Suggested Citation

  • Alan Murray & Patricia Gober & Luc Anselin & Sergio Rey & David Sampson & Paul Padegimas & Yin Liu, 2012. "Spatial Optimization Models for Water Supply Allocation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(8), pages 2243-2257, June.
    • Handle: RePEc:spr:waterr:v:26:y:2012:i:8:p:2243-2257
    DOI: 10.1007/s11269-012-0013-5
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    References listed on IDEAS

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    1. Elizabeth Wentz & Patricia Gober, 2007. "Determinants of Small-Area Water Consumption for the City of Phoenix, Arizona," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 21(11), pages 1849-1863, November.
    2. Nir Becker, 1995. "Value of moving from central planning to a market system: lessons from the Israeli water sector," Agricultural Economics, International Association of Agricultural Economists, vol. 12(1), pages 11-21, April.
    3. T. Takayama & G. G. Judge, 1964. "Spatial Equilibrium and Quadratic Programming," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 46(1), pages 67-93.
    4. Wei Yang & Zhifeng Yang, 2010. "An Interactive Fuzzy Satisfying Approach for Sustainable Water Management in the Yellow River Delta, China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(7), pages 1273-1284, May.
    5. Alberto Garrido, 2000. "A mathematical programming model applied to the study of water markets within the Spanish agricultural sector," Annals of Operations Research, Springer, vol. 94(1), pages 105-123, January.
    6. David Zilberman, 1997. "Allocation and Pricing at the Water District Level," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(3), pages 952-963.
    7. J. W. B. Guise & J. C. Flinn, 1970. "The Allocation and Pricing of Water in a River Basin," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 52(3), pages 411-421.
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    Cited by:

    1. Zhi-Hua Wang & Rachel von Gnechten & David A. Sampson & Dave D. White, 2019. "Wastewater Reclamation Holds a Key for Water Sustainability in Future Urban Development of Phoenix Metropolitan Area," Sustainability, MDPI, vol. 11(13), pages 1-13, June.
    2. Kai Cao & Wenwen Li & Richard Church, 2020. "Big data, spatial optimization, and planning," Environment and Planning B, , vol. 47(6), pages 941-947, July.

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