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Clustering and Compactness in Reserve Site Selection: An Extension of the Biodiversity Management Area Selection Model

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Over the last 15 yr, a number of formal mathematical models and heuristics have been developed for the purpose of selecting sites for biodiversity conservation. One of these models, the Biodiversity Management Area Selection (BMAS) model (Church et al. 1996a), places a major emphasis on protecting at least a certain area for each biodiversity element. Viewed spatially, solutions from this model tend to be a combination of isolated planning units and, sometimes, small clusters. One method to identify solutions with potentially less fragmentation is to add an objective to minimize the outside perimeter of selected areas. Outside perimeter only counts those edges of a planning unit that are not shared in common with another selected planning unit in a cluster, and, therefore, compact clustering is encouraged. This article presents a new math programming model that incorporates this perimeter objective into the BMAS model. We present an application using data from the USDA Forest Service-funded Sierra Nevada Ecosystem Project (Davis et al. 1996) and show that the model can be solved optimally by off-the-shelf software. Our tests indicate that the model can produce dramatic reductions in perimeter of the reserve system (increasing clustering and compactness) at the expense of relatively small decreases in performance against area and suitability measures. FOR. SCI. 49(4): 555–565.

Keywords: Reserve design; environmental management; forest; forest management; forest resources; forestry; forestry research; forestry science; integer programming; natural resource management; natural resources; optimization; site selection

Document Type: Miscellaneous

Affiliations: 1: Dept. of Geography, University of California, Santa Barbara, CA, 93106-4060, Phone: 805-893-4519 2: Professor Dept. of Geography/National Center for Geographic Information and Analysis, University of California, Santa Barbara, CA, 93106-4060, Phone: 805-893-4217; Fax: 805-893-3146

Publication date: 2003-08-01

More about this publication?
  • Forest Science is a peer-reviewed journal publishing fundamental and applied research that explores all aspects of natural and social sciences as they apply to the function and management of the forested ecosystems of the world. Topics include silviculture, forest management, biometrics, economics, entomology & pathology, fire & fuels management, forest ecology, genetics & tree improvement, geospatial technologies, harvesting & utilization, landscape ecology, operations research, forest policy, physiology, recreation, social sciences, soils & hydrology, and wildlife management.
    Forest Science is published bimonthly in February, April, June, August, October, and December.

    2015 Impact Factor: 1.702
    Ranking: 16 of 66 in forestry

    Average time from submission to first decision: 62.5 days*
    June 1, 2016 to Feb. 28, 2017

    Also published by SAF:
    Journal of Forestry
    Other SAF Publications
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