Coevolution of slow-fast populations: evolutionary sliding, evolutionary pseudo-equilibria and complex Red Queen dynamics.

Proceedings. Biological Sciences
Fabio DercoleSergio Rinaldi

Abstract

We study the interplay of ecological and evolutionary dynamics in communities composed of populations with contrasting time-scales. In such communities, genetic variation of individual traits can cause population transitions between stationary and cyclic ecological regimes, hence abrupt variations in fitness. Such abrupt variations raise ridges in the adaptive landscape, where the populations are poised between equilibrium and cyclic coexistence and along which evolutionary trajectories can remain sliding for long times or halt at special points called evolutionary pseudo-equilibria. These novel phenomena should be generic to all systems in which ecological interactions cause fitness to vary discontinuously. They are demonstrated by the analysis of a predator-prey community, with one adaptive trait for each population. The eco-evolutionary dynamics of the system show a number of other distinctive features, including evolutionary extinction and two forms of Red Queen dynamics. One of them is characterized by intermittent bouts of cyclic oscillations of the two populations.

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Citations

Mar 19, 2011·Journal of Mathematical Biology·Michael Sieber, Frank M Hilker
Sep 4, 2012·Bulletin of Mathematical Biology·Benjamin Allen, Daniel I Scholes Rosenbloom
Jan 10, 2008·Proceedings. Biological Sciences·Hanna KokkoDaniel J Rankin
Apr 2, 2010·Proceedings. Biological Sciences·Fabio DercoleSergio Rinaldi
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Nov 19, 2010·PloS One·Akihiko Mougi
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Jul 29, 2021·PLoS Computational Biology·Ilan N RubinMichael Doebeli

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