TY - JOUR
T1 - Homage to the red queen. I. Coevolution of predators and their victims
AU - Schaffer, William M.
AU - Rosenzweig, Michael L.
N1 - Funding Information:
Discussion and comments on earlier versions of this manuscript were gratefully received from Robert Armstrong, James Crow, Michael Gilpin, Russell Lande, Robert May, John Maynard Smith, Roger Milkman, Leigh Van Valen and, in particular, Egbert Leigh and Steven Ellner. Carole Rosenzweig produced a final typescript with patience and skill under trying circumstances. Figures were drawn by W. A. Cornell. The National Science Foundation supports the researches of both authors.
PY - 1978/8
Y1 - 1978/8
N2 - 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.
AB - 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.
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U2 - 10.1016/0040-5809(78)90008-4
DO - 10.1016/0040-5809(78)90008-4
M3 - Article
C2 - 741394
AN - SCOPUS:0018003341
VL - 14
SP - 135
EP - 157
JO - Theoretical Population Biology
JF - Theoretical Population Biology
SN - 0040-5809
IS - 1
ER -