Reserve assemblage of critical areas: A zero-one programming approach

The problem of selecting land for inclusion within a protected reserve is formulated as a zero-one programming model. The model seeks to minimize the cost of delineating a reserve which protects critical habitat areas and significant biogeographic areas. As well, the provision of a buffer zone around an interior or core area is addressed, as are the spatial properties of contiguity and compactness. The model is applicable to both regular and irregular parcel systems. Two techniques that combines post-simplex branching and bounding with objective function bounding are presented for efficiently generating exact solutions. A hypothetical example demonstrates that medium-sized problems can be solved with modest computational effort.

[1]  Jared M. Diamond,et al.  THE ISLAND DILEMMA: LESSONS OF MODERN BIOGEOGRAPHIC STUDIES FOR THE DESIGN OF NATURAL RESERVES , 1975 .

[2]  S. Batie,et al.  Opportunity Costs of Preserving Coastal Wetlands: A Case Study of a Recreational Housing Development , 1997 .

[3]  Philip Dearden,et al.  PROTECTED AREAS AND THE BOUNDARY MODEL: MEARES ISLAND AND PACIFIC RIM NATIONAL PARK , 1988 .

[4]  Harry John Betteley Birks,et al.  How to maximize biological diversity in nature reserve selection: Vascular plants and breeding birds in deciduous woodlands, western Norway , 1993 .

[5]  Michel Batisse.  Development and Implementation of the Biosphere Reserve Concept and Its Applicability to Coastal Regions , 1990 .

[6]  H. Possingham,et al.  The mathematics of designing a network of protected areas for conservation , 1993 .

[7]  M. Batisse.  The Biosphere Reserve: A Tool for Environmental Conservation and Management , 1982, Environmental Conservation.

[8]  R L Pressey,et al.  Beyond opportunism: Key principles for systematic reserve selection. , 1993, Trends in ecology & evolution.

[9]  David A. Keith,et al.  A new approach for selecting fully representative reserve networks: addressing efficiency, reserve design and land suitability with an iterative analysis , 1992 .

[10]  A. O. Nicholls,et al.  Selecting networks of reserves to maximise biological diversity , 1988 .

[11]  Carlos A. Peres,et al.  Amazonian Nature Reserves: An Analysis of the Defensibility Status of Existing Conservation Units and Design Criteria for the Future , 1994 .

[12]  C. Schonewald-Cox,et al.  The boundary model: A geographical analysis of design and conservation of nature reserves , 1986 .

[13]  C. Margules,et al.  Criteria used in assessing wildlife conservation potential: A review , 1981 .

[14]  A. O. Nicholls,et al.  An upgraded reserve selection algorithm , 1993 .

[15]  M. Batisse,et al.  The Relevance of MAB , 1980, Environmental Conservation.

[16]  K. D. Cocks,et al.  Using mathematical programming to address the multiple reserve selection problem: An example from the Eyre Peninsula, South Australia , 1989 .

[17]  C. Margules,et al.  Introduction to some Australian developments in conservation evaluation , 1989 .

[18]  W. Laurance,et al.  Predicting the impacts of edge effects in fragmented habitats , 1991 .

[19]  C. Margules,et al.  Modern biogeographic theory: Are there any lessons for nature reserve design? , 1982 .

[20]  Les G. Underhill,et al.  Optimal and suboptimal reserve selection algorithms , 1994 .

[21]  Jamie B. Kirkpatrick,et al.  An iterative method for establishing priorities for the selection of nature reserves: An example from Tasmania , 1983 .

[22]  Harvey M. Salkin,et al.  Foundations of integer programming , 1989 .

[23]  John B. Theberge,et al.  A review of criteria for evaluating natural areas , 1986 .