Jan 13, 2018

Generalization of the Ewens sampling formula to arbitrary fitness landscapes

PloS One
Pavel KhromovAlexandre V Morozov

Abstract

In considering evolution of transcribed regions, regulatory sequences, and other genomic loci, we are often faced with a situation in which the number of allelic states greatly exceeds the size of the population. In this limit, the population eventually adopts a steady state characterized by mutation-selection-drift balance. Although new alleles continue to be explored through mutation, the statistics of the population, and in particular the probabilities of seeing specific allelic configurations in samples taken from the population, do not change with time. In the absence of selection, the probabilities of allelic configurations are given by the Ewens sampling formula, widely used in population genetics to detect deviations from neutrality. Here we develop an extension of this formula to arbitrary fitness distributions. Although our approach is general, we focus on the class of fitness landscapes, inspired by recent high-throughput genotype-phenotype maps, in which alleles can be in several distinct phenotypic states. This class of landscapes yields sampling probabilities that are computationally more tractable and can form a basis for inference of selection signatures from genomic data. Using an efficient numerical implementa...Continue Reading

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Mentioned in this Paper

Simple Lobule of Cerebellum
Size
Genome
Transcription, Genetic
Genome Assembly Sequence
alph
Simplex styrene-methylmethacrylate
Moran a
Mathematical Formula
Genomics

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