Abstract.
The behavior of spatially inhomogeneous populations in networks of habitats provides examples of dynamical systems on random graphs with structure. A particular example is a butterfly species inhabiting the Åland archipelago. A metapopulation description of the patch occupancies is here mapped to a quenched graph, using the empirical ecology-based incidence function description as a starting point. Such graphs are shown to have interesting features that both reflect the probably “self-organized” nature of a metapopulation that can survive and the geographical details of the landscape. Simulations of the Susceptible-Infected-Susceptible model, to mimick the time-dependent population dynamics relate to the graph features: lack of a typical scale, large connectivity per vertex, and the existence of independent subgraphs. Finally, ideas related to the application and extension of scale-free graphs to metapopulations are discussed.
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References
R. Levins, Bull. Entomol. Soc. Am. 15, 237 (1969)
I. Hanski, Nature 396, 41 (1997)
Metapopulation Biology, edited by I. Hanski, M.E. Gilpin (Academic Press, San Diego, 1997)
W.S. Lahaye, R.J. Gutierrez, H. Resit Akcakaya, J. Animal Ecology 63, 775 (1994)
J.F. ter Braak, I. Hanski, J. Verboom, in Modelling Spatiotemporal Dynamics in Ecology, edited by J. Bascompte, R.V. Solé (Springer, New York, 1998), pp. 167-188
H. Resit Akcakaya, B. Baur, Oecologia 105, 475 (1996)
W. Stewart, J.F. Dallas, S.B. Piertney, F. Marshall, S. Telfer, A. Sharul, X. Lambin, Biol. J. Linn. Soc. 68, 159 (1999)
A. Moilanen, A.T. Smith, I. Hanski, Am. Nat. 152, 530 (1998)
S.D.W. Frost, M.-J. Dumaurier, S. Wain-Hobson, A.J. Leigh Brown, Proc. Nat. Acad. Sci. USA 98, 6875 (2001)
I. Hanski, J. Anim. Ecol. 63, 151 (1994)
D. ben-Avraham, A.F. Rozenfeld, R. Cohen, Sh. Havlin, Physica A 330, 107 (2003)
C.P. Warren, L.M. Sander, I.M. Sokolov, Phys. Rev. E 66, 056105 (2002)
M. Barthelemy, Europhys. Lett. 63, 915 (2003)
A.L. Barabási, R. Albert, H. Jeong, Physica A 272, 173 (1999)
R. Pastor-Satorras, A. Vespignani, Phys. Rev. Lett. 86, 3200 (2001); R. Pastor-Satorras, A. Vespignani, Phys. Rev. E 63, 066117 (2001)
I. Hanski, M. Kuussaari, M. Nieminen, Ecology 75, 747 (1994)
I. Hanski, J. Alho, A. Moilanen, Ecology 81, 239 (2000)
O. Ovaskainen, I. Hanski, Theoretical Population Biology 60, 281 (2001)
M. Kuussaari, M. Nieminen, I. Hanski, J. Animal Ecology 65, 791 (1996)
G. Szabo, M. Alava, J. Kertesz, Phys. Rev. E 67, 056102 (2002)
I. Hanski, O. Ovaskainen, Theoretical Population Biology 64, 119 (2003)
M.E.J. Newman, J. Park, Phys. Rev. E 68, 036122 (2003)
M.E.J. Newman, Phys. Rev. E 68, 026121 (2003)
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Received: 8 December 2003, Published online: 14 May 2004
PACS:
87.23.Cc Population-dynamics and ecological pattern formation - 89.75.Hc Networks and genealogical trees - 89.75.Fb Structures and organization in complex systems
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Vuorinen, V., Peltomäki, M., Rost, M. et al. Networks in metapopulation dynamics. Eur. Phys. J. B 38, 261–268 (2004). https://doi.org/10.1140/epjb/e2004-00118-9
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DOI: https://doi.org/10.1140/epjb/e2004-00118-9