Summary
Much ecology considers only the typical size of a population, yet extreme values may be of particular importance. Unusually low numbers may doom a population to extinction and unusually high numbers may pose an economic threat. Extreme values may also determine the evolutionary traits that predominate. Obviously, even for a fixed variance in annual numbers, the observed maximum and minimum population size will increase the more years that we count the population. Interestingly, over the time scales of available data (<100 years), most animal populations have an observed variance in annual numbers that increases the more consecutive years we use in its calculation. Consequently, populations will meet extreme values more quickly than if the variance were constant. We quantify the increases in variance for diatoms, insects, and vertebrates, first correcting the data for overall differences in variance. Short- and long-lived species are not consistently different. Species that cycle in density have relatively small increases relative to those that do not cycle. Species in marine ecosystems have larger increases than those in terrestrial and freshwater systems. All these results suggest that the system in which a species is embedded — rather the species' own characteristics — plays the crucial role in determining the nature of population extremes.
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References
Aebischer, N.J., Coulson, J.C. and Colebrook, J.M. (1990) Parallel long-term trends across four marine trophic levels and weather.Nature 347, 753–5.
Boag, P.T. and Grant, P.R. (1981) Intense natural selection in a population of Darwin's finches (Geospizinae) in the Galapagos.Science 214, 82–5.
Clark, J.S. (1988) Effect of climate change on fire regimes in northwestern Minnesota.Nature 334, 233–5.
Davies, R.B. and Harte, D.S. (1987) Tests for Hurst effect.Biometrika 74, 95–101.
Gilpin, M.E. (1979) Spiral chaos in a predator-prey model.Am. Nat. 113, 306–8.
Grant, B.R. and Grant, P.R. (1989)Evolutionary Dynamics of a Natural Population. Princeton University Press, Princeton, USA.
Henttonen, H. (1985) Predation causing extended low densities in microtine cycles: further evidence from shrew dynamics.Oikos 45, 156–7.
Hurst, H.E. (1951) Long term storage capacity of reservoirs.Trans. Am. Soc. Civil Engrs. 116, 770–90.
Lack, D.L. (1966)Population Studies of Birds. Oxford University Press, Oxford, UK.
Lawton, J.H. (1988) More time means more variation.Nature 334, 563.
Ludwig, D., Hilborn, R. and Walters, C. (1993) Uncertainty, resource exploitation, and conservation: lessons from history.Science 260, 17–36.
Mandelbrot, B. and Wallis, J.R. (1969a) Some long-run properties of geophysical records.Water Resources Res. 5, 321–40.
Mandelbrot, B. and Wallis, J.R. (1969b) Robustness of the rescaled rangeR/S in the measurement of non-cyclic long run statistical dependence.Water Resources Res. 5, 967–88.
Mandlebrot, B. (1982)The Fractal Geometry of Nature. W.H. Freeman, New York, USA.
McArdle, B.H. (1989) Bird population densities.Nature 338, 628.
McArdle, B.H., Gaston, K.J. and Lawton, J.H. (1990) Variation in the size of animal populations: patterns, problems, and artefacts.J. Anim. Ecol. 59, 439–54.
McArdle, B.H. and Gaston, J.H. (1994) The temporal variability of animal abundances: measures, methods and patterns.Phil. Trans. Roy. Soc. B. 345, 335–58.
Murdoch, W.M. (1994) Population regulation in theory and practice.Ecology 75, 271–87.
Peters, R.H. (1983)The Ecological Implications of Body Size. Cambridge University Press, Cambridge, USA.
Pimm, S.L. (1982)Food Webs. Chapman & Hall, London, UK.
Pimm, S.L. (1991)The Balance of Nature? Ecological Issues in the Conservation of Species and Communities. The University of Chicago Press, Chicago, USA.
Pimm, S.L. and Lawton, J.H. (1977) On the number of trophic levels.Nature 268, 329–31.
Pimm, S.L. and Redfearn, A. (1988) The variability of animal populations.Nature 334, 613–14.
Pimm, S.L. and Redfearn, A. (1989) Bird population densities.Nature 338, 628.
Schoener, T.W. and Spiller, D.A. (1992) Is extinction rate related to temporal variability in population size?Am. Nat. 139, 1176–1207.
Schroeder, M. (1991)Fractals, Chaos, Power Laws: Minutes From an Infinite Paradise. W.H. Freeman, New York, USA.
Slobodkin, L.B. and Rapoport, A. (1974). An optimal strategy for evolution.Q. Rev. Biol. 49, 181–200.
Steele, J.H. (1986) A comparison of terrestrial and marine ecological systems.Nature 313, 355–8.
Williamson, M.H. (1972)The Analysis of Biological Populations. Edward Arnold, London, UK.
Witteman, G.J., Redfearn, A. and Pimm, S.L. (1990) The extent of complex population changes in nature.Evol. Ecol. 4, 173–83.
Yoshimura, J. and Clark, C.W. (1991) Evolutionary adaptations in stochastic environments.Evol. Ecol. 5, 173–92.
Yoshimura, J. and Clark, C.W. (1993) Adaptations in stochastic environments.Lecture Notes in Biomathematics 98. Springer-Verlag, Berlin, Germany.
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Ariño, A., Pimm, S.L. On the nature of population extremes. Evol Ecol 9, 429–443 (1995). https://doi.org/10.1007/BF01237765
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DOI: https://doi.org/10.1007/BF01237765