The Speed of Evolution in Large Asexual Populations

By Su-Chan Park, Damien Simon, Joachim Krug. 2009

102 citations recorded by the source corpus.

We consider an asexual biological population of constant size N evolving in discrete time under the influence of selection and mutation. Beneficial mutations appear at rate U and their selective effects s are drawn from a distribution g(s). After introducing the required models and concepts of mathematical population genetics, we review different approaches to computing the speed of logarithmic fitness increase as a function of N, U and g(s). We present an exact solution of the infinite population size limit and provide an estimate of the population size beyond which it is valid. We then discuss approximate approaches to the finite population problem, distinguishing between the case of a single selection coefficient, g(s)=δ(s−sb), and a continuous distribution of selection coefficients. Analytic estimates for the speed are compared to numerical simulations up to population sizes of order 10300.

Subfields: Genetics, Public Health, Environmental and Occupational Health, Sociology and Political Science

View Paper: https://www.semanticscholar.org/paper/c945ccb993414deee29d26c808a70b6375dbeb1f

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Citations in the corpus

Life is Physics: Evolution as a Collective Phenomenon Far From Equilibrium (2010, background): “Traits are simply associated with genes, and gene interactions are often ignored, or at best handled through the fitness landscape[59, 60].”
Cancer Evolution: Mathematical Models and Computational Inference (2014, methodology): “To understand this process, mathematical models have been devised that address questions about the speed of evolution, the waiting time distribution, and the clone size distribution (Park et al. 2010).”
Rigorous results for a population model with selection II: genealogy of the population (2014, background): “s that the selective advantage sN is assumed to be the same for every beneﬁcial mutation. Some authors have considered models in which the selective advantage resulting from a mutation is random (see [7, 11, 17, 18, 23]), but we do not consider this complication here. Here we will be interested in d”
Genetic Draft, Selective Interference, and Population Genetics of Rapid Adaptation (2013, background): “If U(s) falls off faster than exponential, adaptation occurs via many small steps (Desai and Fisher, 2007; Good et al., 2012); if the distribution is broader, the clonal interference picture is a reasonable approximation (Park and Krug, 2007; Park et al., 2010).”