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An Optimal Control Framework to Address the Relationship between Water Resource Management and Water-Borne Health Impacts: Focus on the Texas Lower Rio Grande Valley

Author

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  • Leidner, Andrew J.
  • Lacewell, Ronald D.
  • Rister, M. Edward
  • Sturdivant, Allen W.

Abstract

The objective of this study is develop a theoretical model that can evaluate two types of public health expenditures on water-borne health risks: water-related municipal services, an ex ante preventative measure against water-borne contamination, and medical treatment, an ex post treatment of the water-borne pollutant’s harmful effects on human health. The modeled community can allocate resources in either centralized-municipal water-services, point-of-use water-services, or medical intervention, with expenditures subject to a budget constraint. The movement of a water-borne illness through the community is modeled with a susceptible-infected-susceptible (SIS) disease framework. An optimization framework is developed, including a statement of the problem’s Hamiltonian and first-order-conditions. The first-order-conditions are discussed. Future work includes obtaining a numerical solution to the optimization problem.

Suggested Citation

  • Leidner, Andrew J. & Lacewell, Ronald D. & Rister, M. Edward & Sturdivant, Allen W., 2011. "An Optimal Control Framework to Address the Relationship between Water Resource Management and Water-Borne Health Impacts: Focus on the Texas Lower Rio Grande Valley," 2011 Annual Meeting, February 5-8, 2011, Corpus Christi, Texas 98806, Southern Agricultural Economics Association.
    • Handle: RePEc:ags:saea11:98806
    DOI: 10.22004/ag.econ.98806
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    Keywords

    Community/Rural/Urban Development; Resource /Energy Economics and Policy;

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