Homage to the red queen. I. Coevolution of predators and their victims

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Abstract

In this paper we develop a model to describe the coevolution of a two-species predator-victim ecosystem. Evolution among the predators acts to displace the predators' zero growth isocline, J, to the left, whereas victim evolution has the opposite effect. More important, we show that for many such systems, there is a value of J, J*, at which the rate of predator evolution exactly equals the rate of victim evolution. This value of J turns out to be a coevolutionary steady state (CSS) which is stable to perturbations. It is suggested that this analysis permits qualitative understanding of why certain real world predator-prey systems oscillate, whereas others do not.

Original languageEnglish (US)
Pages (from-to)135-157
Number of pages23
JournalTheoretical Population Biology
Volume14
Issue number1
DOIs
StatePublished - 1978

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coevolution
Ecosystem
predator
predators
Growth
qualitative analysis
perturbation
ecosystems
ecosystem
rate

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

Homage to the red queen. I. Coevolution of predators and their victims. / Schaffer, William M; Rosenzweig, Michael L.

In: Theoretical Population Biology, Vol. 14, No. 1, 1978, p. 135-157.

Research output: Contribution to journalArticle

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