The effect of habitat fragmentation on cyclic populations with edge behaviour

Mathematical Modelling of Natural Phenomena

Volumn 8, Issue 6, 2013, Pages 45-63

  Morozov, A ^d   Tyutyunov, Yu V ^d   Gauduchon, T ^a   Strohm, S ^b   Tyson, R C ^c  

^a AGROCAMPUS OUEST   (France)

^b OKANAGAN UNIVERSITY COLLEGE   (Canada)

^c UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^d NONE

Author keywords

Cyclic populations; Habitat fragmentation; Mathematical model; May model; Predator prey; Rosenzweig MacArthur model

Indexed keywords

CYCLIC POPULATIONS; HABITAT FRAGMENTATION; HABITAT LOSS; PREDATOR POPULATIONS; PREDATOR-PREY; PREY SPECIES; SPECIES CONSERVATIONS; SUITABLE HABITAT;

BEHAVIORAL RESEARCH; CONSERVATION; MATHEMATICAL MODELS;

ECOSYSTEMS;

EID: 84889864102     PISSN: 09735348     EISSN: 17606101     Source Type: Journal    
DOI: 10.1051/mmnp/20138604     Document Type: Article

References (34)

1. H.R. Akcakaya, Population cycles of mammals: evidence for a ratio-dependent hypothesis, Ecological Monographs, 62 (1992), No. 1, 119-142.
2. A. BlSssle, Stochastic Modelling of Animal Movement using Intermittent Search Patterns, Master's thesis, University of British Columbia, Kelowna, BC, Canada, 2013.
3. D.S. Chapman, C. Dytham, G.S. Oxford, Landscape and fine-scale movements of a leaf beetle: The importance of boundary behaviour, Oecologia, 154 (2007), No. 1, 55-64. (Pubitemid 47583392)
4. A. Costa, A. Min, C.K. Boone, A.P. Kendrick, R.J. Murphy, W.C. Sharpee, K.F. Raffa, J.D. Reeve, Dispersal and edge behaviour of bark beetles and predators inhabiting red pine plantations, Agricultural and Forest Entomology, 15 (2013), No. 1, 1-11.
5. J.T. Cronin, Habitat edges, within-patch dispersion of hosts, and parasitoid oviposition behavior, Ecology, 90 (2009), No. 1, 196-207.
6. L. Edelstein-Keshet, Mathematical models in biology, Society for Industrial and Applied Mathematics, Philadelphia, 2005.
7. L. Fahrig, Effects of habitat fragmentation on biodiversity, Annual Review of Ecology Evolution and Systematics, 34 (2003), 487-515. (Pubitemid 38171428)
8. G.F. Fussmann, B. Blasius, Community response to enrichment is highly sensitive to model structure, Biology Letters, 1 (2005), 9-12. (Pubitemid 41529971)
9. E. Gurarie, J. Suutarinen, I. Kojola, O. Ovaskainen, Summer movements, predation and habitat use of wolves in human modified boreal forests, Oecologia, 165 (2011), 891-903.
10. D.L. Haughland, K.W. Larsen, Exploration correlates with settlement: Red squirrel dispersal in contrasting habitats, Journal of Animal Ecology, 73 (2004), 1024-1034. (Pubitemid 39471152)
11. R.M. Inman, M.L. Packyla, K.H. Inman, A.J. Mccue, G.C. White, J. Persson, B.C. Aber, M.L. Orme, K.L. Alt, S.L. Kain, J.A. Fredrick, B.J. Oakleaf, S.S. Sartorius, Spacial ecology of wolverines at the southern periphery of distribution, The Journal of Wildlife Management, 76 (2012), No. 4, 778-792.
12. H.B. Jackson, K.A. Baum, T. Robert, J.T. Cronin, Habitat-Specific Movement and Edge-Mediated Behavior of the Saproxylic Insect Odontotaenius disjunctus (Coleoptera: Passalidae), Environmental Entomology, 38 (2009), No. 5, 1411-1422.
13. J.L. Keim, P.D. DeWitt, S.R. Lele, Predators choose prey over prey habitats: evidence from a lynx-hare system, Ecological Applications, 21 (2011), No. 4, 1011-1016.
14. G.M. Koehler, B.T. Maletzke, J.A. Von Kienast, K.B. Aubry, R.B. Wielgus, R.H. Naney, Habitat fragmentation and the persistence of lynx populations in Washington State, Journal of Wildlife Management, 72 (2008), No. 7, 1518-1524.
15. M. Kot, Elements of mathematical ecology, Cambridge University Press, Cambridge, U.K., New York, 2001.
16. C.J. Krebs, S. Boutin, R. Boonstra (eds.), Ecosystem dynamics of the boreal forest: The kluane project, Oxford University Press, Oxford; New York, 2001.
17. G.A. Maciel, F. Lutscher, How individual movement response to habitat edges affects population persistence and spatial spread, American Naturalist, 182 (2013), No. 1, 42-52.
18. N.P. McCann, R.A. Moen, Mapping potential core areas for lynx (lynx canadensis) using pellet counts from snowshoe hares (lepus americanus) and satellite imagery, Canadian Journal of Zoology, 89 (2011), 509-516.
19. H.W. McKenzie, Linear features impact predator-prey encounters: Analysis with first passage time, Master's thesis, University of Alberta, Edmonton, AB, Canada, 2006.
20. W.W. Murdoch, B.E. Kendall, R.M. Nisbet, C.J. Briggs, E. McCauley, R. Bolser, Single-species models for many-species food webs, Nature, 417 (2002), 541-543. (Pubitemid 34595919)
21. D.L. Murray, T.D. Steury, J.D. Roth, Assessment of canada lynx research and conservation needsin the southern range: another kick at the cat, Journal of Wildlife Management, 72 (2008), No. 7, 1463-1472.
22. J.D. Murray, Mathematical biology, Springer-Verlag, Berlin, New York, 1989.
23. O. Ovaskainen, S.J. Cornell, Biased movement at a boundary and conditional occupancy times for diffusion processes, Journal of Applied Probability, 40 (2003), 557-580. (Pubitemid 37374278)
24. J.D. Reeve, J.T. Cronin, Edge behaviour in a minute parasitic wasp, Journal of Animal Ecology, 79 (2010), No. 2, 483-490.
25. L. Ries, D.M. Debinski, Butterfly responses to habitat edges in the highly fragmented prairies of central Iowa, Journal of Animal Ecology, 70 (2001), 840-852. (Pubitemid 32913874)
26. E.K. Rueness, N.C. Stenseth, M. O'Donoghue, S. Boutin, H. Ellegren, K.S. Jakobsen, Ecological and genetic spacial structuring in the Canadian lynx, Nature, 425 (2003), No. 6953, 69-72. (Pubitemid 37101717)
27. K.L. Ryall, L. Fahrig, Response of predators to loss and fragmentation of prey habitat: A review of theory, Ecology, 87 (2006), No. 5, 1086-1093.
28. S. Senger, R. Tyson, B.D. Roitberg, H.M.A. Thistlewood, A.S. Harestasd, M.T. Chandler, Influence of habitat structure and resource availability on the movements of rhagoletis indifferens (Diptera: Tephritidae, Environmental Entomology, 38 (2009), 823-835.
29. S. Strohm, R. Tyson, The effect of habitat fragmentation on cyclic population dynamics: A numerical study, Bulletin of Mathematical Biology, 71 (2009), 1323-1348.
30. S. Strohm, R.C. Tyson, The effect of habitat fragmentation on cyclic population dynamics: A reduction to ordinary differential equations, Theoretical Ecology, 5 (2011), No. 4, 495-516.
31. R. Tyson, S. Haines, K.E. Hodges, Modelling the canada lynx and snowshoe hare 1population cycle: The role of specialist predators, Theoretical Ecology, 3 (2010), 97-111.
32. R. Tyson, H. Thistlewood, G.J.R. Judd, Modelling dispersal of sterile male codling moths, cydia pomonella, across orchard boundaries, Ecological Modelling, 205 (2007), 1-12. (Pubitemid 46710221)
33. N.O. Villis, Shape of patch edges affects edge permeability for meadow voles, Ecological Applications, 22 (2012), No. 6, 1827-1837.
34. H. Ylonen, R. Pech, S. Davis, Heterogeneous landscapes and the role of refuge on the population dynamics of a specialist predator and its prey, Bulletin of Mathematical Biology, 59 (2003), 107-137.