Neutral aggregation in finite-length genotype space
Authored by Bahram Houchmandzadeh
Date Published: 2017
DOI: 10.1103/physreve.95.012402
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Abstract
The advent of modern genome sequencing techniques allows for a more
stringent test of the neutrality hypothesis of Darwinian evolution, where all individuals have the same fitness. Using the individual-based
model of Wright and Fisher, we compute the amplitude of neutral
aggregation in the genome space, i.e., the probability of finding two
individuals at genetic (Hamming) distance k as a function of the genome
size L, population size N nu and mutation probability per base nu. In
well-mixed populations, we show that for N nu < 1/L, neutral aggregation
is the dominant force and most individuals are found at short genetic
distances from each other. For N nu >1, on the contrary, individuals are
randomly dispersed in genome space. The results are extended to a
geographically dispersed population, where the controlling parameter is
shown to be a combination of mutation and migration probability. The
theory we develop can be used to test the neutrality hypothesis in
various ecological and evolutionary systems.
Tags
models
population
Estimating evolutionary rates
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