Abstract
IN the mid-1970s, theoretical ecologists were responsible for stimulating interest in nonlinear dynamics and chaos1–3. Ironically, the importance of chaos in ecology itself remains controversial4–17. Proponents of ecological chaos point to its ubiquity in mathematical models and to various empirical findings15,16,18. Sceptics12,19,20 maintain that the models are unrealistic and that the experimental evidence is equally consistent with stochastic models. More generally, it has been argued9,11,21,23 that interdemic selection and/or enhanced rates of species extinction will eliminate populations and species that evolve into chaotic regions of parameter space. Fundamental to this opinion is the belief24,25 that violent oscillations and low minimum population densities are inevitable correlates of the chaotic state. In fact, rarity is not a necessary consequence of complex dynamical behaviour26,27. But even when chaos is associated with frequent rarity, its consequences to survival are necessarily deleterious only in the case of species composed of a single population. Of course, the majority of real world species (for example, most insects) consist of multiple populations weakly coupled by migration, and in this circumstance chaos can actually reduce the probability of extinction. Here we show that although low densities lead to more frequent extinction at the local level28, the decorrelating effect of chaotic oscillations reduces the degree of synchrony among populations and thus the likelihood that all are simultaneously extinguished.
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References
May, R. M. Science 186, 645–647 (1974).
May, R. M. Nature 216, 459–467 (1976).
May, R. M. & Oster, G. F. Am. Nat. 110, 573–599 (1976).
Hassell, M. P., Lawton, J. H. & May, R. M. J. Anim. Ecol. 45, 473–486 (1976).
Schaffer, W. M. & Kot, M. Trends Ecol. Evol. 1, 58–63 (1986).
Nisbet, R. M., Blythe, S. & Gurney, W. S. C. Trends Ecol. Evol. 4, 238–239 (1989).
Mani, G. S. Trends Ecol. Evol. 4, 239–240 (1989).
Lomnicki, A. Trends Ecol. Evol. 4, 239 (1989).
Berryman, A. A. in Chaos in Ecology (eds Logan, J. A. & Hain, F. P.) 23–38 (VA Exp. Sta. Inf. Series 91–93, Blacksburg, VA, 1991).
Morris, W. F. Ecology 71, 1849–1862 (1990).
Berryman, A. A. & Millstein, J. A. Trends Ecol. Evol. 4, 26–28 (1989).
Ellner, S. in Chaos in Ecology (eds Logan, J. A. & Hain, F. P.) 63–90 (VA Exp. Sta. Inf. Series 91–93, Blacksburg, VA, 1991).
Sugihara, G. & May, R. M. Nature 344, 734–741 (1990).
Turchin, P. Nature 344, 660–663 (1990).
Turchin, P. in Chaos in Ecology (eds Logan, J. A. & Hain, F. P.) 39–62 (VA Exp. Sta. Inf. Series 91–93, Blacksburg, VA, 1991).
Turchin, P. & Taylor, A. Ecology 73, 289–305 (1992).
Logan, J. A. & Allen, J. C. A. Rev. Ent. 37, 455–477 (1992).
Tillman, D. & Wedin, D. Nature 353, 653–655 (1991).
Casdagli, M. Physica D. 35, 335–356 (1989).
Ruelle, D. Proc. R. Soc. Lond. A 427, 241–248 (1990).
Thomas, W. R., Pomerantz, M. J. & Gilpin, M. E. Ecology 61, 13–17 (1980).
Mueller, L. D. & Ayala, F. J. Ecology 62, 1148–1154 (1981).
Philippi, T. E., Carpenter, M. P., Case, T. J. & Gilpin, M. E. Ecology 68, 154–159 (1987).
Vandermeer, J. Ecology 63, 1167–1168 (1982).
Vandermeer, J. Theor. Pop. Biol. 22, 17–27 (1982).
Rogers, T. D. Math. Biosci. 72, 13–17 (1984).
Milton, J. G. & Belair, J. Theor. Pop. Biol. 37, 273–289 (1990).
Pimm, S. L., Jones, J. L. & Diamond, J. Am. Nat. 132, 757–785 (1988).
Iwasa, Y. & Roughgarden, J. Theor. Pop. Biol. 30, 194–214 (1986).
Roughgarden, J. & Iwasa, Y. Theor. Pop. Biol. 29, 235–261 (1986).
Gilpin, M. E. & Hanski, I. Metapopulation Dynamics: Empirical and Theoretical Investigations (Academic, London, 1991).
Ruelle, D. Ann. N. Y. Acad. Sci. 316, 408–416 (1979).
Ricker, W. E. J. Fish. Res. Bd. Canada 11, 559–623 (1954).
Collet, P. & Eckmann, J.-P. Iterated Maps on the Interval as Dynamical Systems (Birkhaüser Boston, 1980).
Crutchfield, J. P., Farmer, J. D. & Huberman, B. A. Phys. Rev. 92, 45–82 (1982).
Lichtenberg, A. J. & Lieberman, M. A. Regular and Stochastic Motion (Springer, New York, 1983).
Yorke, J. A., Nathanson, N. Pianigiani, G. & Martin, J. Am J. Epidem. 109, 103–122 (1979).
Hassell, M. P., Comins, H. N. & May, R. M. Nature 353, 255–258 (1991).
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Allen, J., Schaffer, W. & Rosko, D. Chaos reduces species extinction by amplifying local population noise. Nature 364, 229–232 (1993). https://doi.org/10.1038/364229a0
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DOI: https://doi.org/10.1038/364229a0
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