Skip to main content

Competition on an Environmental Gradient

  • Conference paper
Mathematical Problems in Biology

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 2))

Summary

A simple model is proposed to describe competition between two species on an environmental gradiant. There are two verious of the model. One, which explains the gradual blending of adjacent zones sometimes found in zoned vegetation, postulates the existence of transition zones in which species can coexist in stable equilibrium. The other, which explains abrupt zonatlon, postulates the existence of transition zones in which the equilibrium is unstable.

A method of simulating the operation of the model is given. It allows for different intensities of within- and between-species competition in the different age classes of the competitors.

Some numerical results obtained by simulation are described. They suggest some predictions concerning the age distributions to be expected during the successional stages occurring while an area with a strong environmental gradient is being colonized. Temporary species-populations (destined to be the victims of competitive exclusion) tended to have disproportionately large numbers of young members for a longer time than winning populations, whose age distributions approached stability comparatively fast.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  • Burrows, E.M. and Lodge, S. (1951). Autecology and the species problem in Fucus. J. Marine Biol. Assoc. U.K. 30: 161–175.

    Article  Google Scholar 

  • Doty, M. (1946). Critical tide factors that are correlated with the vertical distribution of marine algae and other organisms along the Pacific coast. Ecology 27: 315–327.

    Article  Google Scholar 

  • Keyfitz, N. (1968). Introduction to the mathematics of population. Addison-Wesley, Reading, Mass.

    Google Scholar 

  • Leslie, P.H. (1945). The use of matrices in certain population mathematics. Biometrika 33: 183–212.

    Article  MathSciNet  MATH  Google Scholar 

  • Levin, S.A. (1970). Community equilibria and stability, and an extension of the competitive exclusion principle. Amer. Natur., 104:413–423.

    Article  Google Scholar 

  • Levins, R. (1968). Evolution in changing environments. Princeton University Press, Princeton, N.J.

    Google Scholar 

  • Lewis, J.R. (1964). The ecology of rocky shores. English Universities Press, London.

    Google Scholar 

  • MacArthur, R.H. (1970). Species packing and competitive equilibrium for many species. Theoret. Pop. Biol. 1: 1–11.

    Article  Google Scholar 

  • May, R.M. (1973). On relationships among various types of population models. Amer. Natur. 107: 46–57.

    Article  Google Scholar 

  • Strobeck, C. (1973). N species competition. Ecology 54: 650–654.

    Article  Google Scholar 

  • Vandermeer, J.H. (1970). The community matrix and the number of species in a community. Amer. Natur. 104: 73–83.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Pielou, E.C. (1974). Competition on an Environmental Gradient. In: van den Driessche, P. (eds) Mathematical Problems in Biology. Lecture Notes in Biomathematics, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45455-4_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-45455-4_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06847-1

  • Online ISBN: 978-3-642-45455-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics