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A 0–1 Programming Approach to Delineating Protected Reserves

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  • J C Williams
  • C S ReVelle

Abstract

The problem of selecting parcels of land for inclusion within a protected reserve is formulated as a 0–1 programming model. The formulation addresses the objectives of minimizing cost and maximizing reserve area, while providing buffer zones around interior or core areas and promoting contiguity and compactness. The model is developed for a regular grid spatial setting. An exact method is presented for generating all noninferior solutions, and a heuristic solution procedure is also provided. A hypothetical example demonstrates that medium-sized problems can be solved exactly in reasonable amounts of computer time. Exact and heuristic solutions are compared and applications of the model are discussed.

Suggested Citation

  • J C Williams & C S ReVelle, 1996. "A 0–1 Programming Approach to Delineating Protected Reserves," Environment and Planning B, , vol. 23(5), pages 607-624, October.
    • Handle: RePEc:sae:envirb:v:23:y:1996:i:5:p:607-624
    DOI: 10.1068/b230607
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    References listed on IDEAS

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    1. Wright, Jeffrey & Revelle, Charles & Cohon, Jared, 1983. "A multiobjective integer programming model for the land acquisition problem," Regional Science and Urban Economics, Elsevier, vol. 13(1), pages 31-53, February.
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    Cited by:

    1. Önal, Hayri & Wang, Yicheng & Dissanayake, Sahan T.M. & Westervelt, James D., 2016. "Optimal design of compact and functionally contiguous conservation management areas," European Journal of Operational Research, Elsevier, vol. 251(3), pages 957-968.
    2. Dissanayake, Sahan T.M. & Önal, Hayri, 2011. "Amenity driven price effects and conservation reserve site selection: A dynamic linear integer programming approach," Ecological Economics, Elsevier, vol. 70(12), pages 2225-2235.

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