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On the (dis) advantages of cannibalism
Authors:Ph. Getto  O. Diekmann  A.M. de Roos
Affiliation:(1) Department of Mathematics, University of Utrecht, P.O. Box 80010, 3580, TA, Utrecht, The Netherlands;(2) Present address: Institute of Applied Mathematics and Mechanics, Faculty of Mathematics, Informatics and Mechanics, Warsaw University, ul. Banacha 2, 02-097 Warszawa, Poland;(3) Institute for Biodiversity and Ecosystem Dynamics, University of Amsterdam, P.O. Box 94084, 1090, GB, Amsterdam, The Netherlands
Abstract:Cannibalism is an interaction between individuals that can produce counter- intuitive effects at the population level. A striking effect is that a population may persist under food conditions such that the non-cannibalistic variant is doomed to go extinct. This so-called life boat mechanism has received considerable attention. Implicitly, such studies sometimes suggest, that the life boat mechanism procures an evolutionary advantage to the cannibalistic trait. Here we compare, in the context of a size structured population model, the conditions under which the life boat mechanism works, with those that guarantee, that a cannibalistic mutant can invade successfully under the steady environmental conditions as set by a non-cannibalistic resident. We find qualitative agreement and quantitative difference. In particular, we find that a prerequisite for the life boat mechanism is, that cannibalistic mutants are successful invaders. Roughly speaking, our results show that cannibalism brings advantages to both the individuals and the population when adult food is limiting.
Keywords:Cannibalism  Chemostat dynamics  Size structure  Steady states  Interaction variables  Nonlinear dynamical system  Adaptive dynamics
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