Promoting Large, Compact Mature Forest Patches in Harvest Scheduling Models

Spatially explicit harvest scheduling models that can promote the development of dynamic mature forest patches have been proposed in the past. This paper introduces a formulation that extends these models by allowing the total perimeter of the patches to be constrained or minimized. Test run results suggest that the proposed model can produce solutions with fewer, larger, and more compact patches. In addition, patches are more likely to be temporally connected with this formulation. Methods for identifying the tradeoffs between the net present value of the forest and the size and perimeter of the evolving patches are demonstrated for a hypothetical forest.

[1]  H. L. Scheurman,et al.  Techniques for Prescribing Optimal Timber Harvest and Investment Under Different Objectives—Discussion and Synthesis , 1977 .

[2]  T. Crow,et al.  Simulating Spatial and Temporal Context of Forest Management Using Hypothetical Landscapes , 1998, Environmental management.

[3]  Peter W. C. Paton,et al.  The Effect of Edge on Avian Nest Success: How Strong Is the Evidence? , 1994 .

[4]  F. S. Gilbert,et al.  The Fragmented Forest: Island Biogeography and the Preservation of Biotic Diversity. , 1985 .

[5]  Hayri Önal,et al.  Optimal Selection of a Connected Reserve Network , 2006, Oper. Res..

[6]  Marc E. McDill,et al.  Finding the Efficient Frontier of a Bi-Criteria, Spatially Explicit, Harvest Scheduling Problem , 2006 .

[7]  Hayri Önal,et al.  Incorporating spatial criteria in optimum reserve network selection , 2002, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[8]  Hayri Önal,et al.  Selection of a minimum–boundary reserve network using integer programming , 2003, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[9]  Alan T. Murray,et al.  Constructing And Selecting Adjacency Constraints , 1996 .

[10]  Alan T. Murray.  Spatial restrictions in harvest scheduling , 1999 .

[11]  O. Tahvonen.  Timber production versus old-growth preservation with endogenous prices and forest age-classes , 2004 .

[12]  Charles ReVelle,et al.  A multiobjective integer programming model for the land acquisition problem , 1983 .

[13]  Charles B. Moss,et al.  Reply: Ecosystem management or infeasible guidelines? Implications of adjacency restrictions for wildlife habitat and timber production , 1997 .

[14]  Alan T. Murray,et al.  Analysing cliques for imposing adjacency restrictions in forest models , 1996 .

[15]  Bernard G. Halterman,et al.  Integrating timber and wildlife management planning , 1973 .

[16]  J. G. Jones,et al.  Formulating adjacency constraints in linear optimization models for scheduling projects in tactical planning , 1991 .

[17]  John A. Litvaitis,et al.  Response of Early Successional Vertebrates to Historic Changes in Land Use , 1993 .

[18]  Vladimir Marianov,et al.  Selecting compact habitat reserves for species with differential habitat size needs , 2008, Comput. Oper. Res..

[19]  L. W. Gysel,et al.  Avian Nest Dispersion and Fledging Success in Field‐Forest Ecotones , 1978 .

[20]  P. J. de Moel,et al.  Planning and design , 2006 .

[21]  Marc E. McDill,et al.  Harvest scheduling with area-based adjacency constraints , 2002 .

[22]  C. Revelle,et al.  Dynamic Selection of Harvests with Adjacency Restrictions: The SHARe Model , 1997 .

[23]  Luca Pieroni,et al.  How Strong is the Relationship between Defence Expenditure and Private Consumption? Evidence from the United States , 2007 .

[24]  Alan T. Murray.  Ecosystem management or infeasible guidelines? Implications of adjacency restrictions for wildlife habitat and timber production , 1998 .

[25]  Richard L. Church,et al.  Clustering and Compactness in Reserve Site Selection: An Extension of the Biodiversity Management Area Selection Model , 2003 .

[26]  Charles ReVelle,et al.  Temporal and spatial harvesting of irregular systems of parcels , 1996 .

[27]  Charles ReVelle,et al.  Multiobjective grid packing model: An application in forest management , 1997 .

[28]  Marc E. McDill,et al.  Can mature patch constraints mitigate the fragmenting effects of harvest opening size restrictions , 2003 .

[29]  Marc E. McDill,et al.  A mixed-integer formulation of the minimum patch size problem , 2003 .

[30]  Mark D. McDonnell,et al.  Mathematical Methods for Spatially Cohesive Reserve Design , 2002 .

[31]  Richard H. Yahner,et al.  Changes in Wildlife Communities Near Edges , 1988 .

[32]  Monica G. Turner,et al.  Maintaining Biodiversity in Forest Ecosystems: Dynamic forest mosaics , 1999 .

[33]  C. Revelle,et al.  A 0–1 Programming Approach to Delineating Protected Reserves , 1996 .

[34]  Charles S. ReVelle,et al.  Spatial attributes and reserve design models: A review , 2005 .

[35]  Malcolm L. Hunter,et al.  Maintaining Biodiversity in Forest Ecosystems , 1999 .

[36]  Charles ReVelle,et al.  The grid packing problem : selecting a harvesting pattern in an area with forbidden regions , 1996 .

[37]  Justin C. Williams,et al.  Reserve assemblage of critical areas: A zero-one programming approach , 1998 .

[38]  Jerry F. Franklin,et al.  Creating landscape patterns by forest cutting: Ecological consequences and principles , 1987, Landscape Ecology.