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A modified lookdown construction for the Xi-Fleming-Viot process with mutation and populations with recurrent bottlenecks
Letbe a finite measure on the unit interval. A �-Fleming-Viot process is a probability measure valued Markov process which is dual to a coalescent with multiple collisions (�-coalescent) in analogy…
Alpha-Stable Branching and Beta-Coalescents
We determine that the continuous-state branching processes for which the genealogy, suitably time-changed, can be described by an autonomous Markov process are precisely those arising from…
Can the Site-Frequency Spectrum Distinguish Exponential Population Growth from Multiple-Merger Coalescents?
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.
Statistical Properties of the Site-Frequency Spectrum Associated with Λ-Coalescents
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.
Measure-valued diffusions, general coalescents and population genetic inference
We review recent progress in the understanding of the interplay between population models, measure-valued diffusions, general coalescent processes and inference methods for evolutionary parameters in…
Computing likelihoods for coalescents with multiple collisions in the infinitely many sites model
It is argued that within the (vast) family of Λ-coalescents, the parametrisable sub-family of Beta(2 − α, α)-coalesCents, where α ∈ (1, 2], are of particular relevance and obtained a method to compute (approximate) likelihood surfaces for the observed type probabilities of a given sample.
Importance sampling for Lambda-coalescents in the infinitely many sites model.
An Ancestral Recombination Graph for Diploid Populations with Skewed Offspring Distribution
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.
A new coalescent for seed-bank models
The seed-bank coalescent "does not come down from infinity," and the time to the most recent common ancestor of a sample of size $n$ grows like $\log\log n$, in line with the empirical observation that seed-banks drastically increase genetic variability in a population and indicates how they may serve as a buffer against other evolutionary forces such as genetic drift and selection.
On the moments and the interface of the symbiotic branching model
In this paper we introduce a critical curve separating the asymptotic behavior of the moments of the symbiotic branching model, introduced by Etheridge and Fleischmann [ Stochastic Process. App. 114…