IDEAS home Printed from https://ideas.repec.org/p/ags/umaesp/13590.html
   My bibliography  Save this paper

Uncertainty And Irreversibility In Groundwater Resource Management

Author

Listed:
  • Tsur, Yacov
  • Zemel, Amos

Abstract

Optimal exploitation of renewable groundwater resources when extraction affects the probability of occurrence of an irreversible event is studied. The term irreversible signifies that the event occurrence renders the resource obsolete. It is found that uncertainty concerning the event occurrence has a profound effect. Under certainty - when the stock level below which the event occurs is known in advance - the optimal state process converges to a unique equilibrium state. Under uncertainty, when the event occurrence level is unknown, we identify equilibrium intervals and show that optimal processes initiated elsewhere converge to a boundary of one of these intervals. Inside an equilibrium interval, the expected loss due to the event occurrence is so high that it does not pay to extract in excess of recharge, even though under certainty doing so would be beneficial. These properties are illuminated by means of an example for which analytic solutions are derived.

Suggested Citation

  • Tsur, Yacov & Zemel, Amos, 1994. "Uncertainty And Irreversibility In Groundwater Resource Management," Staff Papers 13590, University of Minnesota, Department of Applied Economics.
  • Handle: RePEc:ags:umaesp:13590
    as

    Download full text from publisher

    File URL: http://purl.umn.edu/13590
    Download Restriction: no

    References listed on IDEAS

    as
    1. Lewis, Tracy R & Schmalensee, Richard, 1977. "Nonconvexity and Optimal Exhaustion of Renewable Resources," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(3), pages 535-552, October.
    2. Cropper, M. L., 1988. "A note on the extinction of renewable resources," Journal of Environmental Economics and Management, Elsevier, vol. 15(1), pages 64-70, March.
    3. Morton I. Kamien & Nancy L. Schwartz, 1978. "Optimal Exhaustible Resource Depletion with Endogenous Technical Change," Review of Economic Studies, Oxford University Press, vol. 45(1), pages 179-196.
    4. Richard J. Gilbert, 1979. "Optimal Depletion of an Uncertain Stock," Review of Economic Studies, Oxford University Press, vol. 46(1), pages 47-57.
    5. Deshmukh, Sudhakar D & Pliska, Stanley R, 1980. "Optimal Consumption and Exploration of Nonrenewable Resources under Uncertainty," Econometrica, Econometric Society, vol. 48(1), pages 177-200, January.
    6. Oscar R. Burt, 1964. "Optimal Resource Use Over Time with an Application to Ground Water," Management Science, INFORMS, vol. 11(1), pages 80-93, September.
    7. Glenn C. Loury, 1978. "The Optimal Exploitation of an Unknown Reserve," Review of Economic Studies, Oxford University Press, vol. 45(3), pages 621-636.
    8. Tsur, Yacov & Graham-Tomasi, Theodore, 1991. "The buffer value of groundwater with stochastic surface water supplies," Journal of Environmental Economics and Management, Elsevier, vol. 21(3), pages 201-224, November.
    9. Long, Ngo Van, 1975. "Resource extraction under the uncertainty about possible nationalization," Journal of Economic Theory, Elsevier, vol. 10(1), pages 42-53, February.
    10. Feinerman, Eli, 1988. "Groundwater Management: Efficiency and Equity Considerations," Agricultural Economics of Agricultural Economists, International Association of Agricultural Economists, vol. 2(1), June.
    11. Clark, Colin W, 1973. "Profit Maximization and the Extinction of Animal Species," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 950-961, July-Aug..
    12. Cropper, M. L., 1976. "Regulating activities with catastrophic environmental effects," Journal of Environmental Economics and Management, Elsevier, vol. 3(1), pages 1-15, June.
    13. Deshmukh, Sudhakar D. & Pliska, Stanley R., 1985. "A martingale characterization of the price of a nonrenewable resource with decisions involving uncertainty," Journal of Economic Theory, Elsevier, vol. 35(2), pages 322-342, August.
    14. Feinerman, Eli, 1988. "Groundwater management: Efficiency and equity considerations," Agricultural Economics, Blackwell, vol. 2(1), pages 1-18, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tsur, Yacov & Zemel, Amos, 1995. "ON EVENT UNCERTAINTY AND RENEWABLE RESOURCE MANAGEMENT; Proceedings of the 4th Minnesota Padova Conference on Food, Agriculture, and the Environment, September 4-10, 1994, Wayzata, MN," Working Papers 14434, University of Minnesota, Center for International Food and Agricultural Policy.
    2. Tsur, Yacov & Zemel, Amos, 1994. "Endangered Species and Natural Resource Exploitation: Extinction vs. Coexistence," Bulletins 7498, University of Minnesota, Economic Development Center.

    More about this item

    Keywords

    Resource /Energy Economics and Policy;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ags:umaesp:13590. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (AgEcon Search). General contact details of provider: http://edirc.repec.org/data/daumnus.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.