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Land-Use Criticality Measures Based on an Interior Point in a Convex Polytope

Author

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  • M S Flaherty

    (Department of Geography, University of Victoria, PO Box 1700, Victoria, British Columbia V8W 2Y2, Canada)

  • G R Chapman

    (Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario N1G 2W1, Canada)

  • B E Smit

    (Department of Geography, University of Guelph, Guelph, Ontario N1G 2W1, Canada)

Abstract

A recently proposed approach to the problem of identifying critical resource allocations requires that a unique central point be found within the feasible region defined by a set of linear inequalities. Although two procedures for identifying such a point have been proposed, each has significant shortcomings. The concept of critical allocations is reviewed, with illustrations of the limitations in the proposed procedures, and a method of overcoming the noted shortcomings is presented.

Suggested Citation

  • M S Flaherty & G R Chapman & B E Smit, 1988. "Land-Use Criticality Measures Based on an Interior Point in a Convex Polytope," Environment and Planning B, , vol. 15(1), pages 37-46, March.
    • Handle: RePEc:sae:envirb:v:15:y:1988:i:1:p:37-46
    DOI: 10.1068/b150037
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    References listed on IDEAS

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    1. Heady, Earl O. & Short, Cameron, 1981. "Interrelationship Among Export Markets, Resource Conservation and Agricultural Productivity," 1981 Annual Meeting, July 26-29, Clemson, South Carolina 279417, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    2. Smit, Barry & Rodd, Stephen & Bond, Deborah & Brklacich, Michael & Cocklin, Chris & Dyer, Allan, 1983. "Implications for food production potential of future urban expansion in Ontario," Socio-Economic Planning Sciences, Elsevier, vol. 17(3), pages 109-119.
    3. Earl O. Heady & Cameron Short, 1981. "Interrelationship Among Export Markets, Resource Conservation, and Agricultural Productivity," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 63(5), pages 840-847.
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