Abstract
SIMPLE nonlinear models can generate fixed points, periodic cycles and aperiodic oscillations in population abundance without any external environmental variation. Another familiar theoretical result is that shifts in demographic parameters (such as survival or fecundity) can move a population from one of these behaviours to another1–4. Unfortunately, empirical evidence to support these theoretical possibilities is scarce5–15. We report here a joint theoretical and experimental study to test the hypothesis that changes in demographic parameters cause predictable changes in the nature of population fluctuations. Specifically, we developed a simple model describing population growth in the flour beetle Tribolium16. We then predicted, using standard mathematical techniques to analyse the model, that changes in adult mortality would produce substantial shifts in population dynamic behaviour. Finally, by experimentally manipulating the adult mortality rate we observed changes in the dynamics from stable fixed points to periodic cycles to aperiodic oscillations that corresponded to the transitions forecast by the mathematical model.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
References
May, R. M. Science 186, 645–647 (1974).
May, R. M. J. theor. Biol. 51, 511–524 (1975).
May, R. M. Nature 261, 459–467 (1976).
May, R. M. & Oster, G. F. Am. Nat. 110, 573–599 (1976).
Strong, D. R. in Ecological Theory and Integrated Pest Management (ed. Kogan, M.) 37–58 (Wiley, New York, 1986).
Kareiva, P. in Perspectives in Ecological Theory (ed. Roughgarden, J., May, R. M. & Levin, S. A.) 68–88 (Princeton University Press, Princeton, NJ, 1989).
Bartlett, M. S. J. R. statist. Soc. A52, 321–347 (1990).
Logan, J. A. & Hain, F. (eds) Chaos and Insect Ecology (Virginia Polytechnic Institute and State University, Blacksburg, VA, 1991).
Costantino, R. F. & Desharnais, R. A. Population Dynamics and the Tribolium Model: Genetics and Demography (Springer, New York, 1991).
Logan, J. A. & Allen, J. C. A. Rev. Ent. 37, 455–477 (1992).
Hastings, A., Hom, C. L., Ellner, S., Turchin, P. & Godfray, H. C. J. A. Rev. Ecol. Syst. 24, 1–33 (1993).
Murdock, W. W. & McCauley, E. Nature 316, 628–630 (1985).
Grenfell, B. J., Price, O. J., Albon, S. D. & Clutton-Brock, T. H. Nature 355, 823–826 (1992).
Hanski, I., Turchin, P., Korplmäkl, E. & Henttonen, H. Nature 364, 232–235 (1993).
Tilman, D. & Wedin, D. Nature 353, 653–655 (1991).
Dennis, B., Desharnais, R. A., Cushing, J. M. & Costantino, R. F. Ecol. Monogr. (in the press).
Tong, H. Non-linear Time Series: a Dynamical System Approach (Oxford Univ. Press, Oxford, 1990).
McCaffrey, D. J., Ellner, S., Gallant, A. R. & Nychka, D. W. J. Am. statist. Ass. 87, 682–695 (1992).
Turchin, P. & Taylor, A. Ecology 73, 289–305 (1992).
Turchin, P. Oikos 68, 167–172 (1993).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Costantino, R., Cushing, J., Dennis, B. et al. Experimentally induced transitions in the dynamic behaviour of insect populations. Nature 375, 227–230 (1995). https://doi.org/10.1038/375227a0
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1038/375227a0
This article is cited by
-
Bifurcation Patterns in a Discrete Predator–Prey Model Incorporating Ratio-Dependent Functional Response and Prey Harvesting
Qualitative Theory of Dynamical Systems (2024)
-
Strong Resonance Bifurcations and State Feedback Control in a Discrete Prey-Predator Model with Harvesting Effect
Qualitative Theory of Dynamical Systems (2023)
-
Collective behaviour can stabilize ecosystems
Nature Ecology & Evolution (2021)
-
Detecting alternative attractors in ecosystem dynamics
Communications Biology (2021)
-
Tribolium beetles as a model system in evolution and ecology
Heredity (2021)
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.