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Oscillations and chaos in the dynamics of a perennial grass

Abstract

ECOLOGICAL models describe the conditions required for chaotic population dynamics1–7, but there are few studies with which to test these predictions4,8–10, and none for perennial plants. In a five-year experiment, a perennial grass exhibited numerous traits associated with chaotic dynamics. Biomass oscillations were greater on more productive soils, with plots on the richest soils exhibiting a 6,000-fold crash. Curves relating the biomass one year to that in the previous year had the peaks and steep slopes associated with chaos, and the dependence of plant biomass on productivity became fuzzy over time. These dynamics resulted from the time-delayed inhibitory effect of plant litter on subsequent growth. A model incorporating litter inhibition predicts oscillations and chaos as productivity increases.

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References

  1. May, R. Science 186, 645–647 (1974).

    Article  ADS  CAS  Google Scholar 

  2. Li, T.-Y. & Yorke, J. A. Am. Math. Monthly 82, 985–992 (1975).

    Article  Google Scholar 

  3. May, R. & Oster, G. F. Am. Nat. 110, 573–599 (1976).

    Article  Google Scholar 

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

    Article  Google Scholar 

  5. Schaffer, W. M. Am. Nat. 124, 798–820 (1984).

    Article  Google Scholar 

  6. Schaffer, W. M. & Kot, M. in Chaos: An Introduction (ed. Holden, A. V.) 158–178 (Princeton University Press, Princeton, 1986).

    Google Scholar 

  7. Hassell, M. P. & May, R. M. in Perspectives in Ecological Theory (eds Roughgarden, J., May, R. M. & Levin, S. A.) 319–347 (Princeton University Press, Princeton, 1989).

    Google Scholar 

  8. Schaffer, W. M. & Kot, M. J. theor. Biol. 112, 403–427 (1985).

    Article  CAS  Google Scholar 

  9. Sugihara, G. & May, R. M. Nature 344, 734–741 (1990).

    Article  ADS  CAS  Google Scholar 

  10. Sugihara, G., Grenfell, B. & May, R. M. Phil. Trans. R. Soc. B 330, 235–251 (1990).

    Article  CAS  Google Scholar 

  11. May, R. M. Proc. R. Soc. B 228, 241–266 (1986).

    ADS  Google Scholar 

  12. Sydes, C. & Grime, J. P. J. Ecol. 69, 249–262 (1981).

    Article  Google Scholar 

  13. Al Mufti, M. M., Sydes, C. L., Furness, S. B., Grime, J. P. & Band, S. R. J. Ecol. 65, 759–791 (1977).

    Article  Google Scholar 

  14. deJong, T. J. & Klinkhamer, P. G. I. Oecologia 65, 153–160 (1985).

    Article  ADS  Google Scholar 

  15. Bergelson, J. Ecology 71, 2157–2165 (1990).

    Article  Google Scholar 

  16. Carson, W. P. & Peterson, C. J. Oecologia 85, 8–13 (1990).

    Article  ADS  Google Scholar 

  17. Knapp, A. K. & Seastedt, T. R. Bioscience 36, 662–668 (1986).

    Article  Google Scholar 

  18. Bakker, J. P. Nature Management by Grazing and Cutting (Kluwer, London, 1989).

    Book  Google Scholar 

  19. Wedin, D. & Tilman, D. Oecologia 84, 433–441 (1990).

    Article  ADS  Google Scholar 

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Tilman, D., Wedin, D. Oscillations and chaos in the dynamics of a perennial grass. Nature 353, 653–655 (1991). https://doi.org/10.1038/353653a0

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