caa a22 4500 477091393 CHVBK 20180405111516.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF01241783 doi (NATIONALLICENCE)springer-10.1007/BF01241783 Fitness minimization and dynamic instability as a consequence of predator-prey coevolution [Elektronische Daten] [Peter Abrams, Hiroyuki Matsuda] Summary: We analyse dynamic models of the coevolution of continuous traits that determine the capture rate of a prey species by a predator. The goal of the analysis is to determine conditions when the coevolutionary dynamics will be unstable and will generate population cycles. We use a simplified model of the evolutionary dynamics of quantitative traits in which the rate of change of the mean trait value is proportional to the rate of increase of individual fitness with trait value. Traits that increase ability in the predatory interaction are assumed to have negative effects on another component of fitness. We concentrate on the role of equilibrial fitness minima in producing cycles. In this case, the mean trait of a rapidly evolving species minimizes its fitness and it is ‘chased' around this equilibrium by adaptive evolution in the other species. Such cases appear to be most likely if the capture rate of prey by predators is maximal when predator and prey phenotypes match each other. They are possible, but less likely when traits in each species determine a one-dimensional axis of ability related to the interaction. Population dynamics often increase the range of parameter values for which cycles occur, relative to purely evolutionary models, although strong prey self-regulation may stabilize an evolutionarily unstable subsystem. Chapman & Hall, 1996 coevolution nationallicence fitness minimization nationallicence mathematical model nationallicence predation nationallicence predator—prey interaction nationallicence population cycles nationallicence quantitative traits nationallicence stability nationallicence Abrams Peter Department of Ecology, Evolution and Behavior, University of Minnesota, 1987 Upper Buford Circle, 55108, St Paul, MN, USA aut Matsuda Hiroyuki Department of Biology, Faculty of Science, Kyushu University, Higashi-ku, 812-81, Fukuoka, Japan aut Evolutionary Ecology Kluwer Academic Publishers 10/2(1996-03-01), 167-186 0269-7653 10:2<167 1996 10 10682 https://doi.org/10.1007/BF01241783 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01241783 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Abrams Peter Department of Ecology, Evolution and Behavior, University of Minnesota, 1987 Upper Buford Circle, 55108, St Paul, MN, USA aut NATIONALLICENCE 700 1- Matsuda Hiroyuki Department of Biology, Faculty of Science, Kyushu University, Higashi-ku, 812-81, Fukuoka, Japan aut NATIONALLICENCE 773 0- Evolutionary Ecology Kluwer Academic Publishers 10/2(1996-03-01), 167-186 0269-7653 10:2<167 1996 10 10682 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 477091393 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer