ArticleTheoretical population biology2012
The allele-frequency spectrum in a decoupled Moran model with mutation, drift, and directional selection, assuming small mutation rates.
Article in Theoretical population biology, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Genome-wide impact of codon usage bias on translation optimization in Drosophila melanogaster.Nature communications · 2024Article
- Recurrent mutation in the ancestry of a rare variant.Genetics · 2023Article
- Article
- Polymorphism-Aware Species Trees with Advanced Mutation Models, Bootstrap, and Rate Heterogeneity.Molecular biology and evolution · 2019Article
- The stationary distribution of a sample from the Wright-Fisher diffusion model with general small mutation rates.Journal of mathematical biology · 2019Article
- Statistical Inference in the Wright-Fisher Model Using Allele Frequency Data.Systematic biology · 2017Review
- Variation in the Intensity of Selection on Codon Bias over Time Causes Contrasting Patterns of Base Composition Evolution in Drosophila.Genome biology and evolution · 2017Article
- Applications in the search for genomic selection signatures in fish.Frontiers in genetics · 2014Review
- Linking great apes genome evolution across time scales using polymorphism-aware phylogenetic models.Molecular biology and evolution · 2013Article
- Strong purifying selection at synonymous sites in D. melanogaster.PLoS genetics · 2013Article
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2 authors.
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Abstract
We analyze a decoupled Moran model with haploid population size N, a biallelic locus under mutation and drift with scaled forward and backward mutation rates θ(1)=μ(1)N and θ(0)=μ(0)N, and directional selection with scaled strength γ=sN. With small scaled mutation rates θ(0) and θ(1), which is appropriate for single nucleotide polymorphism data in highly recombining regions, we derive a simple approximate equilibrium distribution for polymorphic alleles with a constant of proportionality. We also put forth an even simpler model, where all mutations originate from monomorphic states. Using this model we derive the sojourn times, conditional on the ancestral and fixed allele, and under equilibrium the distributions of fixed and polymorphic alleles and fixation rates. Furthermore, we also derive the distribution of small samples in the diffusion limit and provide convenient recurrence relations for calculating this distribution. This enables us to give formulas analogous to the Ewens-Watterson estimator of θ for biased mutation rates and selection. We apply this theory to a polymorphism dataset of fourfold degenerate sites in Drosophila melanogaster.
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