polygenic adaptation

Desai MM, Walczak AM & Fisher DS 2013 Genetic diversity and the structure of genealogies in rapidly adapting populations. Genetics 193:565-585.

  • hard selective sweeps are the primary mode of adaptation in small- to moderate-sized populations in which beneficial mutations are sufficiently rare
  • in larger populations where beneficial mutations occur more frequently, many different mutant lineages can segregate simultaneously in the population
  • if the loci involved are sufficiently distant that recombination occurs frequently enough between them, their fates are independent and adaptation will proceed via independent hard sweeps at each locus
  • in largely asexual organisms such as microbes and viruses, and on shorter distance scales within sexual genomes, selective sweeps at linked loci can overlap and interfere with one another
  • we consider instead a case more analogous to models in quantitative genetics, where selection acts on a large number of loci that all affect fitness
  • our analysis of clonal interference can be thought of as a description of polygenic adaptation, where selection favors the individuals who have beneficial alleles at multiple loci
  • recent work has argued for the potential importance of polygenic adaptation from standing genetic variation ..., loosely analogous to the case where soft sweeps act at many loci
  • our analysis in this article, by contrast, describes polygenic adaptation via multiple new mutations of similar effect at many loci, where each locus has a low enough mutation rate that it would undergo a hard sweep in the absence of the other loci
  • mutations at the many loci occur and segregate simultaneously, interfering with each others' fixation
  • since the mutations occur at different sites, multiple beneficial mutations can also occur in the same genetic background and hitchhike together
  • our work here focuses entirely on asexual populations or on diversity within a short genomic region that remains perfectly linked over the relevant time scales
  • in the opposite case of strong recombination, adaptation will progress via independent hard selective sweeps at each selected locus
  • further work is required to understand the effects of intermediate levels of recombination, where the approach recently introduced by Neher et al. (2010) may provide a useful starting point
  • there is no epistasis for fitness
  • the fitness of an individual with k beneficial mutations is wk = (1 + s)k ≈ 1 + sk
  • this model is the simplest framework that captures the effects of positive selection on a large number of independent loci of similar effect
  • there is first a transient phase while variation at these loci initially increases
  • there is then a steady-state phase during which the population continuously adapts toward higher fitness
  • adaptation will eventually slow down as the population approaches a well-adapted state
  • we focus on the second phase of rapid and continuous adaptation
  • we have assumed that epistatic interactions between mutations can be neglected and that the total potential supply of beneficial mutations is not significantly depleted over the course of adaptation