Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

Overcompensation and population cycles in an ungulate

Abstract

ALTHOUGH theoretical studies show that overcompensatory density-dependent mechanisms can potentially generate regular or chaotic fluctuations in animal numbers, the majority of realistic single-species models of invertebrate populations are not overcompensatory enough to cause sustained population cycles1–3. The possibility that Overcompensation may generate cycles or chaos in vertebrate populations has seldom been considered. Here we show that highly overcompensating density-dependent mortality can generate recurrent population crashes consistent with those observed in a naturally limited population of Soay sheep. The observed interval of three or more years between crashes points to sharp 'focusing' of mortality over a narrow range of population density.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Similar content being viewed by others

References

  1. Hassell, M. P., Lawton, J. H. & May, R. M. J. Anim. Ecol. 45, 471–486 (1976).

    Article  Google Scholar 

  2. Schaffer, W. M. & Kot, M. TREE 1, 58–63 (1986).

    CAS  PubMed  Google Scholar 

  3. Bellows, T. S. J. Anim. Ecol. 50, 139–156 (1981).

    Article  MathSciNet  Google Scholar 

  4. Fowler, C. W. Ecology. 62, 602–610 (1981).

    Article  ADS  Google Scholar 

  5. Peterson, R. O., Page, R. E. & Dodge, K. M. Science. 224, 1350–1352 (1984).

    Article  ADS  CAS  Google Scholar 

  6. Fowler, C. W. in Current Mammalogy (ed. Genoways, H. H.) Vol. 1, 401–441 (Plenum, New York, 1987).

    Book  Google Scholar 

  7. Clutton-Brock, T. H., Major, M. & Guinness, F. E. J. Anim. Ecol. 54, 831–846 (1985).

    Article  Google Scholar 

  8. Clutton-Brock, T. H. & Albon, S. D. Red Deer in the Highlands (Blackwell Scientific, Oxford, 1989).

    Google Scholar 

  9. Boyd, J. M. & Jewell, P. A. in Island Survivors (eds Jewell, P. A., Milner, C. & Morton-Boyd, J.) 360–373 (Athlone, London, 1974).

    Google Scholar 

  10. Grubb, P. J. in Island Survivors (eds Jewell, P. A., Milner, C. & Morton-Boyd, J.) 242–272 (Athlone, London, 1974).

    Google Scholar 

  11. Clutton-Brock, T. H., Price, O. F., Albon, S. D. & Jewell, P. A. J. Anim. Ecol. 60, 593–608 (1991).

    Article  Google Scholar 

  12. Maynard Smith, J. & Slatkin, M. Ecology 54, 384–391 (1973).

    Article  Google Scholar 

  13. Leslie, P. H. Biometrika 33, 183–212 (1945).

    Article  MathSciNet  CAS  Google Scholar 

  14. Leslie, P. H. Biometrika 35, 213–245 (1948).

    Article  MathSciNet  Google Scholar 

  15. Clark, C. W. J. math. Biol. 3, 381–391 (1976).

    Article  MathSciNet  CAS  Google Scholar 

  16. Hassell, M. P. & Anderson, R. M. in Ecological Concepts: the Contribution of Ecology to an Understanding of the Natural World (ed. Cherrett, J. M.) 147–196 (Blackwell Scientific, Oxford, 1988).

    Google Scholar 

  17. Varley, G. C., Gradwell, G. R. & Hassell, M. P. Insect Population Ecology (Blackwell Scientific, Oxford, 1973).

    Google Scholar 

  18. Holden, A. V. Chaos (Princeton University Press, NJ, 1986).

    MATH  Google Scholar 

  19. Schaffer, W. M. Ecology 66, 93–106 (1985).

    Article  Google Scholar 

  20. Bulmer, M. G. J. Anim. Ecol. 43, 701–718 (1974).

    Article  Google Scholar 

  21. Watson, A., Moss, R., Rothery, P. & Parr, R. J. Anim. Ecol. 53, 639–662 (1984).

    Article  Google Scholar 

  22. Hudson, P. J. & Dobson, A. P. in Red Grouse Population Processes (eds Lantz, A. M. & Lawton, J. H.) 5–19 (RSPB and Brit Ecol Soc., London, 1990).

    Google Scholar 

  23. Aitkin, M., Anderson, D., Francis, B. & Hindle, K. Statistical Modelling GLIM (Oxford Science. Oxford, 1989).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grenfell, B., Price, O., Albon, S. et al. Overcompensation and population cycles in an ungulate. Nature 355, 823–826 (1992). https://doi.org/10.1038/355823a0

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1038/355823a0

This article is cited by

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing