Hysteresis Can Grant Fitness in Stochastically Varying Environment

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Hysteresis Can Grant Fitness in Stochastically Varying Environment

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Title: Hysteresis Can Grant Fitness in Stochastically Varying Environment
Author(s):
Friedman, Gary;
McCarthy, Stephen;
Rachinskii, Dmitry I. (UT Dallas)
Item Type: Article
Keywords: Show Keywords
Abstract: Although the existence of multiple stable phenotypes of living organisms enables random switching between phenotypes as well as non-random history dependent switching called hysteresis, only random switching has been considered in prior experimental and theoretical models of adaptation to variable environments. This work considers the possibility that hysteresis may also evolve together with random phenotype switching to maximize population growth. In addition to allowing the possibility that switching rates between different phenotypes may depend not only on a continuous environmental input variable, but also on the phenotype itself, the present work considers an opportunity cost of the switching events. This opportunity cost arises as a result of a lag phase experimentally observed after phenotype switching and stochastic behavior of the environmental input. It is shown that stochastic environmental variation results in maximal asymptotic growth rate when organisms display hysteresis for sufficiently slowly varying environmental input. At the same time, sinusoidal input does not cause evolution of memory suggesting that the connection between the lag phase, stochastic environmental variation and evolution of hysteresis is a result of a stochastic resonance type phenomenon.
Publisher: Public Library of Science
ISSN: 1932-6203
Persistent Link: http://hdl.handle.net/10735.1/4143
http://dx.doi.org/10.1371/journal.pone.0103241
Terms of Use: CC-BY 4.0 (Attribution)
Sponsors: The Russian Foundation for basic Research (http://www.rfbr.ru/rffi/eng/about) through grant 10-01-93112 and the Alexander von Humboldt Foundation, Germany (http://www.humboldt-foundation.de/web/home.html).

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CC-BY 4.0 (Attribution) Except where otherwise noted, this item's license is described as CC-BY 4.0 (Attribution)