Exact asymptotic analysis for metapopulation dynamics on correlated dynamic landscapes

Theoretical Population Biology

Volumn 74, Issue 3, 2008, Pages 209-225

  Cornell, Stephen J ^a   Ovaskainen, Otso ^b  

^a UNIVERSITY OF LEEDS   (United Kingdom)

^b UNIVERSITY OF HELSINKI   (Finland)

Author keywords

Asymptotic analysis; Correlated landscape; Dynamic landscape; Metapopulation; Perturbation theory

Indexed keywords

COLONIZATION; COMPARATIVE STUDY; CORRELATION; DISPERSAL; LANDSCAPE CHANGE; METAPOPULATION; POPULATION DYNAMICS; POPULATION MODELING; RANGE SIZE; SPATIAL ANALYSIS; STOCHASTICITY; VARIANCE ANALYSIS;

ARTICLE; POPULATION DYNAMICS; STATISTICS;

POPULATION DYNAMICS; STOCHASTIC PROCESSES;

EID: 52949097294     PISSN: 00405809     EISSN: 10960325     Source Type: Journal    
DOI: 10.1016/j.tpb.2008.07.003     Document Type: Article

References (43)

1. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables. Ninth dover printing, tenth gpo printing edition (1964), Dover, New York. http://www.math.sfu.ca/~cbm/aands/
2. Akcakaya H.R., Radeloff V., Mlandenoff D.J., and He H.S. Integrating landscape and metapopulation modeling approaches: Viability of the sharp-tailed grouse in a dynamic landscape. Conservation Biology 18 (2004) 526-537
3. Biedermann R. Modelling the spatial dynamics and persistence of the leaf beetle gonioctena olivacea in dynamic habitats. Oikos 107 (2004) 645-653
4. Bolker B.M. Combining endogenous and exogenous spatial variability in analytical population models. Theoretical Population Biology 64 (2003) 255-270
5. Bolker B.M., and Pacala S.W. Spatial moment equations for plant competition: Understanding spatial strategies and the advantage of short dispersal. American Naturalist 153 (1999) 575-602
6. Chave J., and Leigh E.G. A spatially explicit neutral model of β-diversity in tropical forests. Theoretical Population Biology 62 (2002) 153-168
7. DeWoody Y.D., Feng Z., and Swihart R.K. Merging spatial and temporal structure within a metapopulation model. American Naturalist 166 (2005) 42-55
8. Ellner S.P., and Fussmann G. Effects of successional dynamics on metapopulation persistence. Ecology 84 4 (2003) 882-889
9. Fahrig L. Relative importance of spatial and temporal scales in a patchy environment. Theoretical Population Biology 41 (1992) 300-314
10. Gardiner C.W. Handbook of Stochastic Methods. 3rd edition (2004), Springer
11. Gu W.D., Heikkilä R., and Hanski I. Estimating the consequences of habitat fragmentation on extinction risk in dynamic landscapes. Landscape Ecology 17 (2002) 699-710
12. Hanski I. Habitat connectivity, habitat continuity, and metapopulations in dynamic landscapes. Oikos 87 (1999) 209-219
13. Hanski I., and Ovaskainen O. The metapopulation capacity of a fragmented landscape. Nature 404 (2000) 755-758
14. Hanski I., and Thomas C.D. Metapopulation dynamics and conservation: A spatially explicit model applied to butterflies. Biological Conservation 68 (1994) 167-180
15. Hastings A. Metapopulation persistence with age-dependent disturbance or succession. Science 301 (2003) 1525-1526
16. Johst K., Brandl R., and Eber S. Metapopulation persistence in dynamic landscapes: The role of dispersal distance. Oikos 98 (2002) 263-270
17. Johst K., and Drechsler M. Are spatially correlated or uncorrelated disturbance regimes better for the survival of species?. Oikos 103 (2003) 449-456
18. Keymer J.E., Marquet P.A., Velasco-Hernández J.X., and Levin S.A. Extinction thresholds and metapopulation persistence in dynamic landscapes. The American Naturalist 156 (2000) 478-494
19. Lobel S., Snall T., and Rydin H. Species richness patterns and metapopulation processes - evidence from epiphyte communities in boreo-nemoral forests. Ecography 29 (2006) 169-182
20. McCarthy M.A., and Lindmayer D.B. Spatially-correlated extinction in a metapopulation model of leadbeater's possum. Biodiversity and Conservation 9 (2000) 57-63
21. Moilanen A., and Nieminen M. Simple connectivity measures in spatial ecology. Ecology 83 (2003) 1131-1145
22. Moloney K.A., and Levin S.A. The effects of disturbance architecture on landscape-level population dynamics. Ecology 77 (1996) 375-394
23. Nathan R. Long-distance dispersal of plants. Science 313 (2006) 786-788
24. North A., and Ovaskainen O. Interactions between dispersal, competition, and landscape heterogeneity. Oikos 116 (2007) 1106-1119
25. Ovaskainen O., and Cornell S.J. Biased movement at a boundary and conditional occupancy times for diffusion processes. Journal of Applied Probability 40 (2003) 557-580
26. Ovaskainen O., and Cornell S.J. Asymptotically exact analysis of stochastic metapopulation dynamics with explicit spatial structure. Theoretical Population Biology 69 (2006) 13-33
27. Ovaskainen O., and Cornell S.J. Space and stochasticity in population dynamics. Proceedings of the National Academy of Sciences of the United States of America 103 (2006) 12781-12786
28. Paradis E., Baillie S.R., and Sutherland W.J. Modeling large-scale dispersal distances. Ecological Modelling 151 (2002) 279-292
29. Pennanen J., Greene D.F., Fortin M.J., and Messier C. Spatially explicit simulation of long-term boreal forest landscape dynamics: Incorporating quantitative stand attributes. Ecological Modelling 180 (2004) 195-209
30. Ross J.V. A stochastic metapopulation model accounting for habitat dynamics. Journal of Mathematical Biology 52 (2006) 788-806
31. Ross J.V. Stochastic models for mainland-island metapopulations in static and dynamic landscapes. Bulletin of mathematical biology 68 (2006) 417-449
32. Schroeder L.M., Ranius T., Ekbom B., and Larsson S. Spatial occurrence of a habitat-tracking saproxylic beetle inhabiting a managed forest landscape. Ecological applications 17 (2007) 900-909
33. Snäll T., Riberiro P.J., and Rydin H. Spatial occurrence and colonisations in patch-tracking metapopulations: Local conditions versus dispersal. Oikos 103 (2003) 566-578
34. Stoyan D., and Penttinen A. Recent applications of point process methods in forestry statistics. Statistical Science 15 (2000) 61-78
35. Thomas C.S., and Harrison S. Spatial dynamics of a patchily distributed butterfly species. Journal of Animal Ecology 61 (1992) 437-446
36. Thomas J.A., Bourn N.A.D., Clarke R.T., Stewart K.E., Simcox D.J., Pearman G.S., Curtis R., and Goodger B. The quality and isolation of habitat patches both determine where butterflies persist in fragmented landscapes. Proceedings of the Royal Society B 268 (2001) 1791-1796
37. Verheyen K., Vellend M., Van Calster H., Peterken G., and Hermy M. Metapopulation dynamics in changing landscapes: A new spatially realistic model for forest plants. Ecology 85 (2004) 3302-3312
38. Vuilleumier S., Wilcox C., Cairns B.J., and Possingham H.P. How patch configuration affects the impact of disturbances on metapopulation persistence. Theoretical Population Biology 72 (2007) 77-85
39. Wahlberg N., Klemetti T., and Hanski I. Dynamic populations in a dynamic landscape: The metapopulation structure of the marsh fritillary butterfly. Ecography 25 (2002) 224-232
40. Wimberly M.C. Spatial simulation of historical landscape patterns in coastal forests of the pacific northwest. Canadian Journal of Forest Research-Revue Canadienne De Recherche Forestiere 32 (2002) 1316-1328
41. Wimberly M.C. Species dynamics in disturbed landscapes: When does a shifting habitat mosaic enhance connectivity?. Landscape Ecology 21 (2006) 35-46
42. Wintle B.A., Bekessy S.A., Venier L.A., Pearce J.L., and Chisholm R.A. Utility of dynamic-landscape metapopulation models for sustainable forest management. Conservation Biology 19 (2005) 1930-1943
43. Xu D., Feng Z., Allen L.J.S., and Swihart R.K. A spatially structured metapopulation model with patch dynamics. Journal of Theoretical Biology 239 (2006) 469-481