Oecologia

, Volume 15, Issue 3, pp 259–275 | Cite as

The analysis of a population model demonstrating the importance of dispersal in a heterogeneous environment

  • D. A. Roff
Article

Summary

In a previous paper (Roff, 1974) a simulation model was presented demonstrating the importance of dispersal in a spatially heterogeneous environment. In the present paper this model is analysed in detail. It is shown that the qualitative properties of the model can be understood within the framework of a more general mathematical model. The effect of dispersal in a heterogeneous environment is to reduce the variance in the environmental fluctuations. How the subpopulations are connected with respect to dispersers may be the primary factor in determining the change in population size with changes in environmental fluctuations. Both the type of dispersal pattern and the number of subpopulations may influence the persistence of a population without affecting the mean subpopulation size. Finally, it is noted that the “value” of a dispersal pattern changes with changes in parameter values and a shift from one parameter value to another may lead to a qualitative change in the type of dispersal pattern “favoured”.

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References

  1. Andrewartha, H. G., Birch, L. C.: The distribution and abundance of animals. Chicago: Chicago University Press 1954Google Scholar
  2. Boer, P. J. den: Spreading of risk and stabilization of animal numbers. Acta biotheor. (Leiden) 18, 165–194 (1968)Google Scholar
  3. Gadgil, M.: Dispersal: population consequences and evolution. Ecology 52, 253–261 (1971)Google Scholar
  4. Gilbert, N., Gutierrez, A. P.: A plant-aphid-parasite relationship. J. Anim. Ecol. 42, 333–338 (1973)Google Scholar
  5. Gilbert, N., Hughes, R. D.: A model of an aphid population—three adventures. J. Anim. Ecol. 40, 525–534 (1971)Google Scholar
  6. Hughes, R. D., Gilbert, N.: A model of an aphid population—a general statement. J. Anim. Ecol. 37, 553–563 (1968)Google Scholar
  7. Levins, R.: Some demographic and genetic consequences of environmental heterogeneity for biological control. Bull. entomol. Soc. Am. 15, 237–240 (1969)Google Scholar
  8. Levins, R.: The effect of random variations of different types on population growth. Proc. nat. Acad. Sci. (Wash.) 62, 1061–1065 (1969)Google Scholar
  9. Lewontin, R. C., Cohen, D.: On population growth in a randomly varying environment. Proc. nat. Acad. Sci. (Wash.) 62, 1056–1060 (1969)Google Scholar
  10. May, R. M.: Stability in model ecosystems. Proc. Ecol. Soc. Aust. 6, 18–56 (1971)Google Scholar
  11. May, R. M.: Stability in randomly fluctuating versus deterministic environments. In pressGoogle Scholar
  12. Reddingius, J., Boer, P. J. den: Simulation experiments illustrating stabilization of animal numbers by spreading of risk. Oecologia (Berl.) 5, 240–284 (1970)Google Scholar
  13. Roff, D. A.: Spatial heterogeneity and the persistence of populations. Oecologia (Berl.) 15, 245–258 (1974)Google Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • D. A. Roff
    • 1
    • 2
  1. 1.School of Biological SciencesUniversity of SydneySydneyAustralia
  2. 2.Institute of Animal Resource EcologyUniversity of British ColumbiaVancouver 8Canada

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