Maximization principles for frequency-dependent selection II: the one-locus multiallele case

Schneider, Kristan A.

doi:10.1007/s00285-009-0292-5

Cited by 8 publications

(5 citation statements)

References 47 publications

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“…Pairwise interaction models have been extensively analyzed in relation to one locus with multi-alleles (Schneider, 2006; Trotter and Spencer, 2007) and multi-loci with multiple alleles (Schneider, 2010), in addition to the model of one locus with two alleles (Cockerham et al ., 1972; Asmussen and Basnayake, 1990; Schneider, 2008). At the expense of wide applicability, our method was too simplified to reflect all the theoretical features of pairwise interaction models.…”

Section: Discussionmentioning

confidence: 99%

Detecting frequency-dependent selection through the effects of genotype similarity on fitness components

Sato

Takahashi

et al. 2022

Preprint

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Frequency-dependent selection (FDS) drives an evolutionary regime that maintains or disrupts polymorphisms. Despite the increasing feasibility of genetic association studies on fitness components, there are a few methods to uncover the loci underlying FDS. Based on a simplified model of pairwise genotype-genotype interactions, we propose a linear regression that can infer FDS from observed fitness. The key idea behind our method is the inclusion of genotype similarity as a pseudo-trait in selection gradient analysis. Single-locus analysis of Arabidopsis and damselfly data could detect known negative FDS on visible polymorphism that followed Mendelian inheritance with complete dominance. By extending the single-locus analysis to genome-wide association study (GWAS), our simulations showed that the regression coefficient of genotype similarity can distinguish negative or positive FDS without confounding other forms of balancing selection. Field GWAS of the branch number further revealed that negative FDS, rather than positive FDS, was enriched among the top-scoring single nucleotide polymorphisms (SNPs) in Arabidopsis thaliana. These results showed the wide applicability of our method for FDS on both visible polymorphism and genome-wide SNPs. Our study provides an effective method for selection gradient analysis to understand the maintenance or loss of polymorphism.

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Section: Discussionmentioning

confidence: 99%

Detecting frequency-dependent selection through the effects of genotype similarity on fitness components

Sato

Takahashi

et al. 2022

Preprint

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“…The likelihood of this mode of selection in maintaining polymorphism has long been recognized (Lewontin 1974), and numerous theoretical investigations have generally borne out this heuristic explanation ( e.g. , Lessard 1984; Asmussen et al 2004; Trotter and Spencer 2007, 2008, 2013; Schneider 2008, 2010). …”

Section: Discussionmentioning

confidence: 99%

The Selective Maintenance of Allelic Variation Under Generalized Dominance

Spencer

Mitchell

2016

G3 Genes|Genomes|Genetics

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Simple models of viability selection acting on variation at a single diploid locus only maintain multiple alleles for very restricted sets of fitnesses. Most of these models assume that fitnesses are independent, even if the genotypes share alleles. Here, we extend this result to a model with generalized dominance interactions, in which fitnesses are strongly affected by what we call the “primary effects” of the genotype’s component alleles, so that genotypes with shared alleles have correlated fitnesses. Nevertheless, in keeping with previously reported results, we also show that such fitness sets are easily constructed over time if recurrent mutation is occurring simultaneously. We find that such models maintain less variation over time than do (previous) models with independently sampled fitnesses, especially when the effects of genetic drift are taken into account. We also show that there is a weak tendency for greater weighting of primary effects to evolve over time.

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“…In contrary, the average reproductive fitness ϕ(x) := i∈S M x i ϕ i (x) is equal to the (arbitrary) normalization factor h(x) in (17), and hence in principle can carry more structure. If the mean-field dynamics is within the domain of applicability of Fisher's fundamental theorem of natural selection, we should have [18,52,54,124,130]:…”

Section: Fisher's Fundamental Theorem For the Reproductive Fitnessmentioning

confidence: 99%

Extinction scenarios in evolutionary processes: A Multinomial Wright-Fisher approach

Roitershtein¹,

Rastegar²,

Chapkin³

et al. 2019

Preprint

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We study a generalized discrete-time multi-type Wright-Fisher population process. The mean-field dynamics of the stochastic process is induced by a general replicator difference equation. We prove several results regarding the asymptotic behavior of the model, focusing on the impact of the mean-field dynamics on it. One of the results is a limit theorem that describes sufficient conditions for an almost certain path to extinction, first eliminating the type which is the least fit at the mean-field equilibrium. The effect is explained by the metastability of the stochastic system, which under the conditions of the theorem spends almost all time before the extinction event in a neighborhood of the equilibrium. In addition to limit theorems, we propose a variation of Fisher's maximization principle, fundamental theorem of natural selection, for a completely general deterministic replicator dynamics and study implications of the deterministic maximization principle for the stochastic model.

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Maximization principles for frequency-dependent selection II: the one-locus multiallele case

Cited by 8 publications

References 47 publications

Detecting frequency-dependent selection through the effects of genotype similarity on fitness components

Detecting frequency-dependent selection through the effects of genotype similarity on fitness components

The Selective Maintenance of Allelic Variation Under Generalized Dominance

Extinction scenarios in evolutionary processes: A Multinomial Wright-Fisher approach

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