Abstract

Non-selective effects, like genetic drift, are an important factor in modern conceptions of evolution, and have been extensively studied for constant population sizes (Kimura, 1955; Otto and Whitlock, 1997). Here, we consider non-selective evolution in the case of growing populations that are of small size and have varying trait compositions (e.g. after a population bottleneck). We find that, in these conditions, populations never fixate to a trait, but tend to a random limit composition, and that the distribution of compositions “freezes” to a steady state. This final state is crucially influenced by the initial conditions. We obtain these findings from a combined theoretical and experimental approach, using multiple mixed subpopulations of two Pseudomonas putida strains in non-selective growth conditions (Matthijs et al, 2009) as model system. The experimental results for the population dynamics match the theoretical predictions based on the Pólya urn model (Eggenberger and Pólya, 1923) for all analyzed parameter regimes. In summary, we show that exponential growth stops genetic drift. This result contrasts with previous theoretical analyses of non-selective evolution (e.g. genetic drift), which investigated how traits spread and eventually take over populations (fixate) (Kimura, 1955; Otto and Whitlock, 1997). Moreover, our work highlights how deeply growth influences non-selective evolution, and how it plays a key role in maintaining genetic variability. Consequently, it is of particular importance in life-cycles models (Melbinger et al, 2010; Cremer et al, 2011; Cremer et al, 2012) of periodically shrinking and expanding populations.

Highlights

  • Stochastic effects play an important role in population dynamics [8,9,10,11], when competition between individuals is non-selective

  • We showed that the dynamics of growing populations can be mapped to Pólya urn models [4], permitting the observed maintenance of genetic diversity to be understood as the random limit property of a fair game between individual strains

  • Evolutionary dynamics is driven by the complex interplay between selective and non-selective effects

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Summary

Introduction

Stochastic effects play an important role in population dynamics [8,9,10,11], when competition between individuals is non-selective. Most previous theoretical analyses have studied how a non-selectively evolving trait can spread and eventually replace all other variants (fixate) under conditions in which the population size remains constant [2, 12, 13]. Both natural and laboratory populations frequently experience exponential growth. We showed that the dynamics of growing populations can be mapped to Pólya urn models [4], permitting the observed maintenance of genetic diversity to be understood as the random limit property of a fair game between individual strains. Our results provide new insights into the role of demographic noise in growing populations

Results and Discussion
Materials and Methods
17. Center for Food Safety and Applied Nutrition Causes of Foodborne Illness
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