Abstract

Organisms often exhibit behavioral or phenotypic diversity to improve population fitness in the face of environmental variability. When each behavior or phenotype is individually maladaptive, alternating between these losing strategies can counter-intuitively result in population persistence-an outcome similar to the Parrondo's paradox. Instead of the capital or history dependence that characterize traditional Parrondo games, most ecological models which exhibit such paradoxical behavior depend on the presence of exogenous environmental variation. Here we present a population model that exhibits Parrondo's paradox through capital and history-dependent dynamics. Two sub-populations comprise our model: nomads, who live independently without competition or cooperation, and colonists, who engage in competition, cooperation, and long-term habitat destruction. Nomads and colonists may alternate behaviors in response to changes in the colonial habitat. Even when nomadism and colonialism individually lead to extinction, switching between these strategies at the appropriate moments can paradoxically enable both population persistence and long-term growth.

Highlights

  • Behavioral adaptation and phenotypic diversity are evolutionary meta-strategies that can improve a population’s fitness in the presence of environmental variability

  • Some examples include random phase variation (RPV) in bacteria across multiple losing phenotypes (Wolf et al, 2005; Kussell and Leibler, 2005; Acar et al, 2008), as well as the persistence of populations that migrate among sink habitats only (Jansen and Yoshimura, 1998; Roy et al, 2005; Benaım and Schreiber, 2009)

  • Any growth model that is devoid of competitive or collaborative effects is readily captured by Equation 2, while any logistic growth model which includes both the Allee effect and habitat destruction can be described using Equations 3 and 4

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Summary

Introduction

Behavioral adaptation and phenotypic diversity are evolutionary meta-strategies that can improve a population’s fitness in the presence of environmental variability. Some examples include random phase variation (RPV) in bacteria across multiple losing phenotypes (Wolf et al, 2005; Kussell and Leibler, 2005; Acar et al, 2008), as well as the persistence of populations that migrate among sink habitats only (Jansen and Yoshimura, 1998; Roy et al, 2005; Benaım and Schreiber, 2009) These counter-intuitive phenomena are reminiscent of Parrondo’s paradox, which states that there are losing games of chance which can be combined to produce a winning strategy (Harmer and Abbott, 1999).

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