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We apply recently developed inference methods based on general coalescent processes to DNA sequence data obtained from various marine species. Several of these species are believed to exhibit so-called shallow gene genealogies, potentially…

Populations and Evolution · Quantitative Biology 2012-11-06 Matthias Steinrücken , Matthias Birkner , Jochen Blath

Population genetics theory has laid the foundations for genomics analyses including the recent burst in genome scans for selection and statistical inference of past demographic events in many prokaryote, animal and plant species.…

Populations and Evolution · Quantitative Biology 2014-01-22 Aurelien Tellier , Christophe Lemaire

The goal of phylodynamics, an area on the intersection of phylogenetics and population genetics, is to reconstruct population size dynamics from genetic data. Recently, a series of nonparametric Bayesian methods have been proposed for such…

Applications · Statistics 2012-10-19 Julia A. Palacios , Vladimir N. Minin

We review recent progress in the understanding of the role of multiple- and simultaneous multiple merger coalescents as models for the genealogy in idealised and real populations with exceptional reproductive behaviour. In particular, we…

Probability · Mathematics 2021-07-22 Matthias Birkner , Jochen Blath

Many biological studies involve inferring the evolutionary history of a sample of individuals from a large population and interpreting the reconstructed tree. Such an ascertained tree typically represents only a small part of a…

Populations and Evolution · Quantitative Biology 2024-08-13 Michael Celentano , William S. DeWitt , Sebastian Prillo , Yun S. Song

We study a model of a population with individuals sampled from different species. The Yule-$\Lambda$ nested coalescent describes the genealogy of the sample when each species merges with another randomly chosen species with a constant rate…

Probability · Mathematics 2024-01-05 Toni Gui

Longitudinal molecular data of rapidly evolving viruses and pathogens provide information about disease spread and complement traditional surveillance approaches based on case count data. The coalescent is used to model the genealogy that…

Applications · Statistics 2020-09-07 Lorenzo Cappello , Julia A. Palacios

We present a robust method which translates information on the speed of coming down from infinity of a genealogical tree into sampling formulae for the underlying population. We apply these results to population dynamics where the genealogy…

Probability · Mathematics 2012-02-01 Julien Berestycki , Nathanael Berestycki , Vlada Limic

The rapid development of sequencing technologies represents new opportunities for population genetics research. It is expected that genomic data will increase our ability to reconstruct the history of populations. While this increase in…

Populations and Evolution · Quantitative Biology 2014-12-04 Olivier Mazet , Willy Rodríguez , Lounès Chikhi

We study the effect of biological confounders on the model selection problem between Kingman coalescents with population growth, and Xi-coalescents involving simultaneous multiple mergers. We use a low dimensional, computationally tractable…

Populations and Evolution · Quantitative Biology 2019-08-13 Jere Koskela , Maite Wilke Berenguer

When an advantageous mutation occurs in a population, the favorable allele may spread to the entire population in a short time, an event known as a selective sweep. As a result, when we sample $n$ individuals from a population and trace…

Probability · Mathematics 2007-05-23 Rick Durrett , Jason Schweinsberg

In population genetics, extant samples are usually used for inference of past population genetic forces. With the Kingman coalescent and the backward diffusion equation, inference of the marginal likelihood proceeds from an extant sample…

Populations and Evolution · Quantitative Biology 2020-04-03 Claus Vogl , Sandra Peer

Study sample sizes in human genetics are growing rapidly, and in due course it will become routine to analyze samples with hundreds of thousands if not millions of individuals. In addition to posing computational challenges, such large…

Populations and Evolution · Quantitative Biology 2015-06-24 Anand Bhaskar , Andrew G. Clark , Yun S. Song

Reconstructing past population size from present day genetic data is a major goal of population genetics. Recent empirical studies infer population size history using coalescent-based models applied to a small number of individuals. Here we…

Populations and Evolution · Quantitative Biology 2014-09-30 Junhyong Kim , Elchanan Mossel , Miklós Z. Rácz , Nathan Ross

We present a sequential Monte Carlo sampler for coalescent based Bayesian hierarchical clustering. The model is appropriate for multivariate non-\iid data and our approach offers a substantial reduction in computational cost when compared…

Applications · Statistics 2016-08-11 Ricardo Henao , Joseph E. Lucas

Samples of multiple complete genome sequences contain vast amounts of information about the evolutionary history of populations, much of it in the associations among polymorphisms at different loci. Current methods that take advantage of…

Populations and Evolution · Quantitative Biology 2016-11-08 Daniel B. Weissman , Oskar Hallatschek

We consider a dynamic metapopulation involving one large population of size N surrounded by colonies of size \varepsilon_NN, usually called peripheral isolates in ecology, where N\to\infty and \varepsilon_N\to 0 in such a way that…

Probability · Mathematics 2013-03-15 Amaury Lambert , Chunhua Ma

We introduce a modified spatial $\Lambda$-Fleming-Viot process to model the ancestry of individuals in a population occupying a continuous spatial habitat divided into two areas by a sharp discontinuity of the dispersal rate and effective…

Probability · Mathematics 2023-06-14 Raphael Forien , Harald Ringbauer , Graham Coop

The classical model for the genealogies of a neutrally evolving population in a fixed environment is due to Kingman. Kingman's coalescent process, which produces a binary tree, universally emerges from many microscopic models in which the…

Populations and Evolution · Quantitative Biology 2023-12-05 Ethan Levien

We investigate Bayesian non-parametric inference of the $\Lambda$-measure of $\Lambda$-coalescent processes with recurrent mutation, parametrised by probability measures on the unit interval. We give verifiable criteria on the prior for…

Methodology · Statistics 2019-08-13 Jere Koskela , Paul A. Jenkins , Dario Spanò