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Spatially Induced Bifurcations in Single-Species Population Dynamics
Jordi Bascompte and Ricard V. Solé
Journal of Animal Ecology
Vol. 63, No. 2 (Apr., 1994), pp. 256-264
Published by: British Ecological Society
Stable URL: http://www.jstor.org/stable/5544
Page Count: 9
You can always find the topics here!Topics: Chaos theory, Population dynamics, Population ecology, Animal ecology, Ecological genetics, Isoclines, Ecological modeling, Mathematical lattices, Population density, Metapopulation ecology
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1. The paper by Hassell, Lawton & May (1976) on the characterization of natural population dynamics by fitting field and laboratory data to a discrete model is reviewed. In particular, we study the effects of spatial degrees of freedom on the qualitative behaviour of such single population maps. 2. Using the spatially extended counterpart of these discrete systems by means of the Coupled Map Lattice formalism, we show that space is able to induce dynamical bifurcations. 3. As the spatial domain is increased, the stability boundaries in the parameter space are modified, driving the population through different kinds of dynamics. The same result is reached by increasing the diffusion rate for a given lattice size. 4. Our results suggest that the dynamical behaviour shown by a population depends not only on intrinsic factors, but also on external or environmental ones. Some evidence from field studies is also discussed.
Journal of Animal Ecology © 1994 British Ecological Society