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Optimal Integrated Control of Univoltine Pest Populations with Age Structure

Author

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  • Christine A. Shoemaker

    (Cornell University, Ithaca, New York)

Abstract

A procedure is presented for calculating optima integration and timing of biological, chemical and cultural methods for control of a univoltine pest population in a random environment. The procedure describes a system of high dimension by two nested models: a stochastic dynamic programming problem with four state variables and a more detailed differential equation model describing the effect of management and weather on population demography and crop yield. A computational algorithm is presented which reduces computation requirements for the population model from about 10 13 operations to 10 6 operations for a typical example. Results are presented from the application of the method to control the alfalfa weevil by a combination of insecticide applications, early harvesting, and biological control provided by a parasite.

Suggested Citation

  • Christine A. Shoemaker, 1982. "Optimal Integrated Control of Univoltine Pest Populations with Age Structure," Operations Research, INFORMS, vol. 30(1), pages 40-61, February.
    • Handle: RePEc:inm:oropre:v:30:y:1982:i:1:p:40-61
    DOI: 10.1287/opre.30.1.40
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    Cited by:

    1. Ben White, 2000. "A Review of the Economics of Biological Natural Resources," Journal of Agricultural Economics, Wiley Blackwell, vol. 51(3), pages 419-462, September.
    2. B. Curtis Eaves & Arthur F. Veinott, 2014. "Maximum-Stopping-Value Policies in Finite Markov Population Decision Chains," Mathematics of Operations Research, INFORMS, vol. 39(3), pages 597-606, August.
    3. Chen, Victoria C. P., 1999. "Application of orthogonal arrays and MARS to inventory forecasting stochastic dynamic programs," Computational Statistics & Data Analysis, Elsevier, vol. 30(3), pages 317-341, May.
    4. Livingston, Michael J. & Carlson, Gerald A. & Fackler, Paul L., 2000. "Bt Cotton Refuge Policy," 2000 Annual meeting, July 30-August 2, Tampa, FL 21850, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    5. Zehua Yang & Victoria C. P. Chen & Michael E. Chang & Melanie L. Sattler & Aihong Wen, 2009. "A Decision-Making Framework for Ozone Pollution Control," Operations Research, INFORMS, vol. 57(2), pages 484-498, April.

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