A spatially structured metapopulation model with patch dynamics

Journal of Theoretical Biology

Volumn 239, Issue 4, 2006, Pages 469-481

  Xu, Dashun ^a   Feng, Zhilan ^a   Allen, Linda J S ^b   Swihart, Robert K ^c  

^a PURDUE UNIVERSITY   (United States)

^b TEXAS TECH UNIVERSITY   (United States)

^c PURDUE UNIVERSITY   (United States)

Author keywords

Fragmentation; Metapopulation models; Patch dynamics; Persistence; Spatially realistic models

Indexed keywords

COLONIZATION; DIFFERENTIATION; HETEROGENEITY; METAPOPULATION; PATCH DYNAMICS; POPULATION DYNAMICS;

ARTICLE; BIODIVERSITY; HABITAT FRAGMENTATION; LANDSCAPE ECOLOGY; METAPOPULATION; PATCH DYNAMICS; POPULATION MODEL; POPULATION SIZE; PRIORITY JOURNAL; QUANTITATIVE STUDY; REINFORCEMENT; SIMULATION; SPECIES EXTINCTION; STOCHASTIC MODEL;

ANIMALS; COMPUTER SIMULATION; ECOSYSTEM; MODELS, BIOLOGICAL; POPULATION DENSITY; POPULATION DYNAMICS; STOCHASTIC PROCESSES;

EID: 33645423158     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2005.08.012     Document Type: Article

References (61)

1. F.R. Adler, and B. Nüernberger Persistence in patchy irregular landscapes Theor. Popul. Biol. 45 1994 41 75
2. E.J. Allen Stochastic differential equations and persistence time for two interacting populations Dyn. Cont. Discrete Impulsive Syst. 5 1999 271 281
3. L.J.S. Allen An Introduction to Stochastic Processes with Applications to Biology 2003 Prentice-Hall Upper Saddle River, NJ
4. J. Bascompte, and R. Solé Habitat fragmentation and extinction thresholds in explicit models J. Animal Ecol. 55 1996 61 76
5. J. Bascompte, and R.V. Solé Modeling Spatiotemporal Dynamics in Ecology 1998 Springer New York
6. M. Bevers, and C. Flather Numerically exploring habitat fragmentation effects on populations using cell-based coupled map lattices Theor. Popul. Biol. 65 1999 465 473
7. S. Brachet, I. Olivieri, B. Godelle, E. Klein, N. Frascaria-Lacoste, and P. Gouyon Dispersal and metapopulation viability in a heterogeneous landscape J. Theor. Biol. 198 1999 479 495
8. DeWoody, Y.D., Feng, Z., Swihart, R.K., 2005. Merging spatial and temporal structure within a metapopulation model. Am. Nat. 66(1) 42-55.
9. O. Diekmann, J.A.P. Heesterbeek, and J.A.J. Metz On the definition and the computation of the basic reproduction ratis in models for infectious diseases in heterogeneous population J. Math. Biol. 28 1990 365 382
10. U. Dieckmann, R. Law, and J.A.J. Metz The Geometry of Ecological Interaction: Simplifying Spatial Complexity 2000 Cambridge University Press Cambridge
11. R. Durrett, and S.A. Levin The importance of being discrete (and spatial) Theor. Popul. Biol. 46 1994 363 394
12. L. Fahrig Relative importance of spatial and temporal scales in a patchy environment Theor. Popul. Biol. 41 1992 300 314
13. Z. Feng, and Y. DeWoody Conservation thresholds derived from metapopulation models R. Swihart J. Moore Conserving Biodiversity in Agricultural Landscapes: Model-Based Planning Tools 2003 Purdue University Press 49 68
14. K. Frank, and C. Wissel Spatial aspects of metapopulation survival: from model results to rules of thumb for landscape management Landscape Ecol. 13 1998 363 379
15. K. Frank, and C. Wissel A formula for the mean lifetime of metapopulations in heterogeneous landscapes Am. Nat. 159 2002 530 552
16. J.G. Gaines, and T.J. Lyons Variable step size control in the numerical solution of stochastic differential equations SIAM J. Appl. Math. 57 5 1997 1455 1484
17. W. Gu, R. Heikkila, and I. Hanski Estimating the consequences of habitat fragmentation on extinction risk in dynamic landscapes Landscape Ecol. 17 8 2002 699 710
18. I. Hanski Dynamics of regional distribution: the core and satellite species hypothesis Oikos 38 1982 210 221
19. I. Hanski Coexistence of competitors in patchy environment Ecology 64 1983 493 500
20. I. Hanski Single species spatial dynamics may contribute to long term rarity and commonness Ecology 66 1985 335 343
21. I. Hanski A practical model of metapopulation dynamics J. Animal. Ecol. 63 1994 151 162
22. I. Hanski Metapopulation dynamics Nature 196 1998 41 49
23. I. Hanski Metapopulation ecology. Oxford Series in Ecology and Evolution 1999 Oxford University Press Oxford
24. Hanski, I., Gilpin, M.E. (Eds.), 1997. Metapopulation Biology: Ecology, Genetics and Evolution. Academic Press, San Diego.
25. I. Hanski, and M. Gyllenberg Uniting two general patterns in the distribution of species Science 275 1997 397 400
26. I. Hanski, and O. Ovaskainen The metapopulation capacity of a fragmented landscape Nature 404 2000 755 758
27. I. Hanski, and O. Ovaskainen Metapopulation theory for fragmented landscapes Theor. Popul. Biol. 64 2003 119 127
28. A. Hastings Disturbance, coexistence, history and competition for space Theor. Popul. Biol. 18 1980 363 373
29. Holt, R.D., 1997. From metapopulation dynamics to community structure: some consequences of spatial heterogeneity. In: Hanski, I., Gilpin, M. (Eds.), Metapopulation Biology: Ecology, Genetics and Evolution. Academic Press, New York, pp. 149-165.
30. H.S. Horn, and R. MacArthur Competition among fugitive species in a harlequin environment Ecology 53 1972 749 752
31. R.A. Ims, J. Rolstad, and P. Wegge Predicting space use responses to habitat fragmentation: can voles (Microtus oeconomus) serve as an experimental model system (EMS) for capercaillie grous, Tetro unrogallus, in boreal forests? Biol. Conserv. 63 1993 261 268
32. J.E. Keymer, P. Marquet, and A. Johnson Pattern formation in a patch occupancy metapopulation model: a cellular automata approach J. Theor. Biol. 194 1998 79 90
33. J.E. Keymer, P.A. Marquet, J.X. Velasco-Hernández, and S.A. Levin Extinction thresholds and metapopulation persistence in dynamic landscapes Am. Nat. 156 2000 478 494
34. N. Kirupaharan, and L.J.S. Allen Coexistence of multiple pathogen strains in stochastic epidemic models with density-dependent mortality Bull. Math. Biol. 66 2004 841 864
35. P.E. Kloeden, and E. Platen Numerical Solution of Stochastic Differential Equations 1992 Springer New York
36. P.E. Kloeden, E. Platen, and H. Schurz Numerical Solution of Stochastic Differential Equations through Computer Experiments 1997 Springer Berlin
37. W.F. Laurance Extinction and survival of rainforest mammals in a fragmented tropical landscape W.Z. Lidicker Jr. Landscape Approaches in Mammalian Ecology and Conservation 1995 University of Minnesota Press Minneapolis, MI 46 63
38. R. Levins Some demographic and genetic consequences of environmental hetereogeneity for biological control Bull. Entomol. Soc. Am. 15 1969 237 240
39. Levins, R., 1970. Extinction. Lecture Notes in Mathematics, vol. 2, pp. 75-107.
40. S.A. Levin Dispersion and population interactions Am. Nat. 108 1974 207 225
41. P.A. Marquet, and J.X. Velasco-Hernandez A source-sink patch occupancy metapopulation model Rev. Chil. Hist. Nat. 70 1997 371 380
42. P.A. Marquet, J.X. Velasco-Hernandez, and J. Keymer Patch dynamics, habitat degradation and space in metapopulations G.A. Bradshaw P.A. Marquet How Landscapes Change. Human Disturbance and Ecosystem Fragmentation in the Americas 2003 Springer New York 239 254
43. G. Merriam, K. Henein, and K. Stuart-Smith Landscape dynamics models M.G. Turner R.H. Gardner Quantitative Methods in Landscape Ecology 1991 Springer New York, NY 399 416
44. A. Moilanen, and I. Hanski Habitat destruction and coexistence of competitors in a spatially realistic metapopulation J. Animal Ecol. 64 1995 141 144
45. D.J. Murrell, and R. Law Beetles in fragmented woodlands: a formal framework for dynamics of movement in ecological landscape J. Animal. Ecol. 69 2000 471 483
46. S. Nee, and R. May Dynamics of metapopulations: habitat destruction and competitive coexistence J. Animal. Ecol. 61 1992 37 40
47. Nee, S., May, R., Hassell, M., 1997. Two-species metapopulation models. In: Hanski, I., Gilpin, M. (Eds.), Metapopulation biology: Ecology, Genetics and Evolution. Academic Press, New York, pp. 123-147.
48. J.M. Ortega Matrix Theory 1987 Plenum Press New York, London
49. O. Ovaskainen, and I. Hanski Spatially structured metapopulation models: global and local assessment of metapopulation capacity Theor. Popul. Biol. 60 2001 281 302
50. B.F. Sheperd, and R.K. Swihart Spatial dynamics of fox squirrels (Sciurus niger) in fragmented landscapes Canad. J. Zool. 73 1995 298 2105
51. Smith, H.L., 1995. Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems, Mathematical Surveys and Monographs, vol. 41, American Mathematical Society, Providence, RI.
52. D. Tilman Competition and biodiversity in spatially structured habitats Ecology 75 1994 2 16
53. M.G. Turner, and V.H. Dale Comparing large, infrequent disturbances: what have we learned? Ecosystems 1 1998 493 496
54. Y. Wang, and X.-Q. Zhao Convergence in monotone and subhomogeneous discrete dynamical systems on product Banach spaces Bull. London Math. Soc. 35 2003 681 688
55. B.A. Wilcox, and D.D. Murphy Conservation strategy: the effects of fragmentation on extinction Am. Nat. 125 1985 879 887
56. K.A. With, and T.O. Crist Critical thresholds in species' responses to landscape structure Ecology 76 1995 2446 2459
57. J.O. Wolff Behavioral model systems G.M. Barrett J.D. Peles Landscape Ecology of Small Mammals 1999 Springer New York, NY, USA 11 40
58. D.H. Wright, B.D. Patterson, G.M. Mikkelson, A. Cutler, and W. Atmar A comparative analysis of nested subset patterns of species composition Oecologia 113 1998 1 20
59. Zhao, X.-Q., 2003. Dynamical Systems in Population Biology. CMS Books in Mathematics, Series 16, Springer, New York.
60. X.-Q. Zhao, and Z.-J. Jing Global asymptotic behavior in some cooperative systems of functional differential equations Canad. Appl. Math. Quart. 4 1996 421 444
61. P.A. Zollner Comparing the landscape level perceptual abilities of forest sciurids in fragmented agricultural landscapes Landscape Ecol. 15 2000 523 533