The implications of model formulation when transitioning from spatial to landscape ecology

Mathematical Biosciences and Engineering

Volumn 9, Issue 1, 2012, Pages 27-60

  Cantrell, Robert Stephen ^a   Cosner, Chris ^a   Fagan, William F ^b  

^a Department of Biology   (United States)

^b Bldg 142   (United States)

Author keywords

Habitat fragmentation; Spatial and landscape ecology; Spatially distributed population dynamical patch models; Spatially explicit models

Indexed keywords

ANIMAL; COMPARATIVE STUDY; ECOSYSTEM; POPULATION DYNAMICS; REVIEW; SPECIES EXTINCTION; THEORETICAL MODEL;

ANIMALS; ECOSYSTEM; EXTINCTION, BIOLOGICAL; MODELS, THEORETICAL; POPULATION DYNAMICS;

EID: 84255182504     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2012.9.27     Document Type: Review

References (12)

1. A. Berman and J. Plemmons, "Nonnegative Matrices in the Mathematical Sciences," Computer Science and Applied Mathematics, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1979.
2. K. J. Brown, C. Cosner and J. Fleckinger, Principal eigenvalues for problems with indefinite weight function on Rn, Proceedings of the American Mathematical Society, 109 (1990), 147-155.
3. R. S. Cantrell and C. Cosner, "Spatial Ecology via Reaction-Diffusion Equations," Wiley Series in Mathematical and Computational Biology, John Wiley & Sons, Ltd., Chichester, 2003.
4. C. Cosner, Reaction-diffusion equations and ecological modeling, in "Tutorials in Mathematical Biosciences. IV" (ed. A. Friedman), Lecture Notes in Mathematics, 1922, Springer, Berlin,(2008), 77-115.
5. 2.0.CO;2] W. F. Fagan and F. Lutscher, Average dispersal success: Linking home range, dispersal, and metapopulation dynamics to refuge design, Ecological Applications, 16 (2006), 820-828.
6. I. Hanski, Predictive and practical metapopualtion models: The incidence function approach, in "Spatial Ecology" (eds. D. Tilman and P. Kareiva), Princton University Press, Princeton, NJ, (1997), 21-45.
7. I. Hanski, "Metapopulation Ecology," Oxford University Press, Oxford, UK, 1999.
8. I. Hanski and O. Ovaskainen, The metapopulation capacity of a fragmented landscape, Nature, 404 (2000), 755-758. (Pubitemid 30212401)
9. R. Levins, Some demographic and genetic consequences of environmental heterogeneity for biological control, Bulletin of the Entomological Society of America, 15 (1969), 237-240.
10. F. Lutscher and M. A. Lewis, Spatially-explicit matrix models, Journal of Mathematical Biology, 48 (2004), 293-324.
11. O. Ovaskainen and I. Hanski, Spatially structured metapopulation models: Global and local assessment of metapopulation capacity, Theoretical Population Biology, 60 (2001), 281-304.
12. R. Van Kirk and M. A. Lewis, Integro-difference models for persistence in fragmented habitats, Bulletin of Mathematical Biology, 59 (1997), 107-137. (Pubitemid 27065392)