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Coalescent Processes When the Distribution of Offspring Number Among Individuals Is Highly Skewed
TLDR
A complex set of scaling relationships between mutation and reproduction in a simple model of a population suggests the presence of rare reproduction events in which ∼8% of the population is replaced by the offspring of a single individual.
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Can the Site-Frequency Spectrum Distinguish Exponential Population Growth from Multiple-Merger Coalescents?
TLDR
Estimates of statistical power indicate that exponential and algebraic growth can indeed be distinguished from multiple-merger coalescents, even for moderate sample sizes, if the number of segregating sites is high enough.
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Statistical Properties of the Site-Frequency Spectrum Associated with Λ-Coalescents
TLDR
Recursions for the expected value, variance, and covariance of the spectrum are derived, extending earlier results of Fu (1995) for the classical Kingman coalescent, to apply a pseudolikelihood inference to estimate coalescence parameters associated with certain subclasses of Λ-coalescents.
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Current hypotheses to explain genetic chaos under the sea
TLDR
This work discusses how sweepstakes reproductive success accelerates genetic drift and can thus generate genetic structure, provided that gene flow is not too strong, and how collective dispersal is another mechanism whereby genetic structure can be maintained regardless of dispersal intensity.
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Coalescence Times and FST Under a Skewed Offspring Distribution Among Individuals in a Population
TLDR
This work derives the densities of pairwise coalescence times and expressions for FST and other statistics under both the finite island model and a many-demes limit model, which can explain the observed genetic heterogeneity among subpopulations of certain marine organisms despite substantial gene flow.
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BRCA2, but not BRCA1, mutations account for familial ovarian cancer in Iceland: a population-based study.
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An Ancestral Recombination Graph for Diploid Populations with Skewed Offspring Distribution
TLDR
Correlations in ratios of coalescence times between loci can be high, even when the recombination rate is high and sample size is large, in large offspring-number populations, as suggested by simulations, hinting at how to distinguish between different population models.
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Linkage Disequilibrium Under Skewed Offspring Distribution Among Individuals in a Population
TLDR
Correlations in coalescence times between two loci are derived under selectively neutral population models in which the offspring of an individual can number on the order of the population size and are shown to be functions of the parameters controlling the size and frequency of these large reproduction events.
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The site-frequency spectrum associated with Ξ-coalescents.
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Statistical properties of the site-frequency spectrum associated with Lambda-coalescents
Statistical properties of the site frequency spectrum associated with Lambda-coalescents are our objects of study. In particular, we derive recursions for the expected value, variance, and covariance…
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