Optimizing reserve expansion for disjunct populations of San Joaquin kit fox

Expanding habitat protection is a common strategy for species conservation. We present a model to optimize the expansion of reserves for disjunct populations of an endangered species. The objective is to maximize the expected number of surviving populations subject to budget and habitat constraints. The model accounts for benefits of reserve expansion in terms of likelihood of persistence of each population and monetary cost. Solving the model with incrementally higher budgets helps prioritize sites for expansion and produces a cost curve showing funds required for incremental increases in the objective. We applied the model to the problem of allocating funds among eight reserves for the endangered San Joaquin kit fox (Vulpes macrotis mutica) in California, USA. The priorities for reserve expansion were related to land cost and amount of already-protected habitat at each site. Western Kern and Ciervo-Panoche sites received highest priority because land costs were low and moderate amounts of already-protected habitat resulted in large reductions in extinction risk for small increments of habitat protection. The sensitivity analysis focused on the impacts of kit fox reproductive success and home range in non-native grassland sites. If grassland habitat is lower quality than brushland habitat resulting in higher annual variation in reproductive success or larger home ranges, then protecting habitat at the best grassland site (Ciervo-Panoche) is not cost-efficient relative to shrubland sites (Western Kern, Antelope Plain, Carrizo Plain). Finally, results suggested that lowest priority should be given to three relatively high-cost grassland sites (Camp Roberts, Contra Costa, and Western Madera) because protecting habitat at those sites would be expensive and have little effect on the expected number of surviving kit fox populations.

[1]  Robert G. Haight,et al.  Wildlife Conservation Planning Using Stochastic Optimization and Importance Sampling , 1997 .

[2]  Daniel F. Williams,et al.  Optimizing Habitat Protection Using Demographic Models of Population Viability , 2002 .

[3]  Kristina D. Rothley Dynamically-Based Criteria for the Identification of Optimal Bioreserve Networks , 2002 .

[4]  J. Grinnell,et al.  Grinnell, Joseph, Joseph S. Dixon, and Jean M. Linsdale. Fur-bearing Mammals of California, their Natural History, Systematic Status, and Relations to Man , 1938 .

[5]  B. Cypher,et al.  Population dynamics of San Joaquin kit foxes at the naval petroleum reserves in California , 2000 .

[6]  D. Simberloff,et al.  What do genetics and ecology tell us about the design of nature reserves , 1986 .

[7]  M. Araújo,et al.  Apples, Oranges, and Probabilities: Integrating Multiple Factors into Biodiversity Conservation with Consistency , 2002 .

[8]  Robert G. Haight,et al.  Comparing Extinction Risk and Economic Cost in Wildlife Conservation Planning , 1995 .

[9]  Stuart L. Pimm,et al.  Planning for Biodiversity , 1998, Science.

[10]  S. Polasky,et al.  Dynamic reserve site selection , 2004 .

[11]  Reed F. Noss,et al.  Saving Nature's Legacy: Protecting And Restoring Biodiversity , 1994 .

[12]  L. Fahrig How much habitat is enough , 2001 .

[13]  Kevin J. Gaston,et al.  Optimisation in reserve selection procedures—why not? , 2002 .

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

[15]  Brian Kent,et al.  An integer programming approach for spatially and temporally optimizing wildlife populations , 1994 .

[16]  M. Gilpin,et al.  Habitat evaluation using GIS: A case study applied to the San Joaquin Kit Fox , 2001 .

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

[18]  Atte Moilanen,et al.  Single‐species dynamic site selection , 2002 .

[19]  Hedley Rees,et al.  Limited-Dependent and Qualitative Variables in Econometrics. , 1985 .

[20]  Michael A. Saunders,et al.  Large-scale linearly constrained optimization , 1978, Math. Program..

[21]  Amy W. Ando,et al.  On the Use of Demographic Models of Population Viability in Endangered Species Management , 1998 .

[22]  F. Allendorf,et al.  The One‐Migrant‐per‐Generation Rule in Conservation and Management , 1996 .

[23]  L. Donald,et al.  of the INTERIOR , 1962 .

[24]  Daniel Simberloff,et al.  Refuge Design and Island Biogeographic Theory: Effects of Fragmentation , 1982, The American Naturalist.

[25]  Population dynamics of kit foxes , 1999 .

[26]  Martin G. Raphael,et al.  OPTIMIZATION OF HABITAT PLACEMENT: A CASE STUDY OF THE NORTHERN SPOTTED OWL IN THE OLYMPIC PENINSULA , 1997 .

[27]  Sharon Kingsland,et al.  Creating a Science of Nature Reserve Design: Perspectives from History , 2002 .

[28]  Claire A. Montgomery,et al.  The Marginal Cost of Species Preservation: The Northern Spotted Owl , 1994 .

[29]  Martin G. Raphael,et al.  Some mathematical programming approaches for optimizing timber age-class distributions to meet multispecies wildlife population objectives , 1993 .

[30]  Daniel W. Uresk,et al.  Spatial Optimization of Prairie Dog Colonies for Black-Footed Ferret Recovery , 1997, Oper. Res..

[31]  K. Ralls,et al.  Predation on San Joaquin Kit Foxes by Larger Canids , 1995 .

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