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Optimization Model for the Sustainable Water Resource Management of River Basins

Author

Listed:
  • Robert L. Oxley

    (Arizona State University)

  • Larry W. Mays

    (Arizona State University)

  • Alan Murray

    (University of California at Santa Barbara)

Abstract

This paper presents a new methodology for the sustainable and optimal allocation of water for a river basin management area. The model distinguishes between short and long-term planning horizons and goals using a short-term modeling component (STM) and a long term modeling component (LTM) respectively. An STM is a linear programming problem, and optimizes a monthly allocation schedule on an annual basis in terms of maximum net economic benefit. A cost of depletion is included in the STM net benefit calculation to address the non-use value of groundwater. An LTM consists of an STM for every year of the long-term planning horizon. Each LTM is quantified using a sustainability index, with sustainability defined in terms of risk to supply and ecological, environmental, and hydrological integrity. The LTMs are optimized to determine the most sustainable net economic benefit for the management area using a genetic algorithm. The model is applied to a test case representative of a management area in Arizona in order to highlight its potential utility.

Suggested Citation

  • Robert L. Oxley & Larry W. Mays & Alan Murray, 2016. "Optimization Model for the Sustainable Water Resource Management of River Basins," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(9), pages 3247-3264, July.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:9:d:10.1007_s11269-016-1345-3
    DOI: 10.1007/s11269-016-1345-3
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    References listed on IDEAS

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    1. World Commission on Environment and Development,, 1987. "Our Common Future," OUP Catalogue, Oxford University Press, number 9780192820808.
    2. Larry Mays, 2013. "Groundwater Resources Sustainability: Past, Present, and Future," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(13), pages 4409-4424, October.
    3. Nazli Aydin & Larry Mays & Theo Schmitt, 2014. "Technical and Environmental Sustainability Assessment of Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(13), pages 4699-4713, October.
    4. Rijsberman, Frank R., 2006. "Water scarcity: Fact or fiction?," Agricultural Water Management, Elsevier, vol. 80(1-3), pages 5-22, February.
    5. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39(2), pages 137-137.
    6. Tom Kuhlman & John Farrington, 2010. "What is Sustainability?," Sustainability, MDPI, vol. 2(11), pages 1-13, November.
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