Geodesic
The Effect of Habitat Fragmentation on Cyclic Populations with Edge Behaviour
T. Gauduchon1 ; S. Strohm2 ; R. C. Tyson3
1 Agrocampus Ouest, 65 rue de Saint Brieuc, CS84215 - 35042 Rennes Cedex, France
2 Mathematics and Statistics, Okanagan College, 583 Duncan Ave W, Penticton, BC, V2A 8E1 Canada
3 Mathematics and Statistics, IKBSAS 5 SCI, University of British Columbia Okanagan, 3333 University Way, Kelowna, BC, V1V 1V7, Canada
Mathematical modelling of natural phenomena, Tome 8 (2013) no. 6, pp. 45-63.

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Habitat fragmentation is an important area of concern in species conservation. Habitat fragmentation can affect population distributions through reductions in suitable habitat, and through organism responses to different habitat types and the transitions between them. In earlier work, the effect of habitat fragmentation on cyclic populations was investigated in the context of populations that show no behavioural response to the interface between habitat types. In this paper, we extend the earlier work by adding edge-mediated behaviour to the models. That is, we investigate the dynamics that result when oscillatory predator and prey species also exhibit behavioural responses to habitat interfaces. Our results show generally that habitat loss decreases the amplitude and the average density of the prey and predator populations, but that most of the reponses observed in the two models exhibit marked differences. This work highlights the complexity of the interplay between population cycles, habitat fragmentation, and edge-mediated behaviour, and the need to study such systems in greater detail.
DOI : 10.1051/mmnp/20138604

T. Gauduchon 1 ; S. Strohm 2 ; R. C. Tyson 3

1 Agrocampus Ouest, 65 rue de Saint Brieuc, CS84215 - 35042 Rennes Cedex, France
2 Mathematics and Statistics, Okanagan College, 583 Duncan Ave W, Penticton, BC, V2A 8E1 Canada
3 Mathematics and Statistics, IKBSAS 5 SCI, University of British Columbia Okanagan, 3333 University Way, Kelowna, BC, V1V 1V7, Canada 
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T. Gauduchon; S. Strohm; R. C. Tyson. The Effect of Habitat Fragmentation on Cyclic Populations with Edge Behaviour. Mathematical modelling of natural phenomena, Tome 8 (2013) no. 6, pp. 45-63. doi : 10.1051/mmnp/20138604. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20138604/

[1] H.R. Akcakaya Ecological Monographs 1992 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 Oecologia 2007 55 64

[4] A. Costa, A. Min, C.K. Boone, A.P. Kendrick, R.J. Murphy, W.C. Sharpee, K.F. Raffa, J.D. Reeve Agricultural and Forest Entomology 2013 1 11

[5] J.T. Cronin Ecology 2009 196 207

[6] L. Edelstein-Keshet, Mathematical models in biology, Society for Industrial and Applied Mathematics, Philadelphia, 2005.

[7] L. Fahrig Annual Review of Ecology Evolution and Systematics 2003 487 515

[8] G.F. Fussmann, B. Blasius Biology Letters 2005 9 12

[9] E. Gurarie, J. Suutarinen, I. Kojola, O. Ovaskainen Oecologia 2011 891 903

[10] D.L. Haughland, K.W. Larsen Journal of Animal Ecology 2004 1024 1034

[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 The Journal of Wildlife Management 2012 778 792

[12] H.B. Jackson, K.A. Baum, T. Robert, J.T. Cronin Environmental Entomology 2009 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 2011 1011 1016

[14] G.M. Koehler, B.T. Maletzke, J.A. Von Kienast, K.B. Aubry, R.B. Wielgus, R.H. Naney Journal of Wildlife Management 2008 1518 1524

[15] M. Kot, Elements of mathematical ecology, Cambridge University Press, Cambridge, U.K., New York, 2001.

[16]

[17] G.A. Maciel, F. Lutscher American Naturalist 2013 42 52

[18] N.P. Mccann, R.A. Moen Canadian Journal of Zoology 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 Nature 2002 541 543

[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 2008 1463 1472

[22] J.D. Murray, Mathematical biology, Springer-Verlag, Berlin, New York, 1989.

[23] O. Ovaskainen, S.J. Cornell Journal of Applied Probability 2003 557 580

[24] J.D. Reeve, J.T. Cronin Edge behaviour in a minute parasitic wasp Journal of Animal Ecology 2010 483 490

[25] L. Ries, D.M. Debinski Journal of Animal Ecology 2001 840 852

[26] E.K. Rueness, N.C. Stenseth, M. O’Donoghue, S. Boutin, H. Ellegren, K.S. Jakobsen Nature 2003 69 72

[27] K.L. Ryall, L. Fahrig Response of predators to loss and fragmentation of prey habitat: A review of theory Ecology 2006 1086 1093

[28] S. Senger, R. Tyson, B.D. Roitberg, H.M.A. Thistlewood, A.S. Harestasd, M.T. Chandler Environmental Entomology 2009 823 835

[29] S. Strohm, R. Tyson Bulletin of Mathematical Biology 2009 1323 1348

[30] S. Strohm, R.C. Tyson Theoretical Ecology 2011 495 516

[31] R. Tyson, S. Haines, K.E. Hodges Theoretical Ecology 2010 97 111

[32] R. Tyson, H. Thistlewood, G.J.R. Judd Ecological Modelling 2007 1 12

[33] N.O. Villis Ecological Applications 2012 1827 1837

[34] H. Ylonen, R. Pech, S. Davis Bulletin of Mathematical Biology 2003 107 137

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