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Effective population size (Ne(t)) is a fundamental parameter in population genetics and phylodynamics that quantifies genetic diversity and reveals demographic history. Coalescent-based methods enable the inference of Ne(t) trajectories…

Coalescent theory combined with statistical modeling allows us to estimate effective population size fluctuations from molecular sequences of individuals sampled from a population of interest. When sequences are sampled serially through…

Populations and Evolution · Quantitative Biology 2021-11-02 Michael D. Karcher , Marc A. Suchard , Gytis Dudas , Vladimir N. Minin

Variation in a sample of molecular sequence data informs about the past evolutionary history of the sample's population. Traditionally, Bayesian modeling coupled with the standard coalescent, is used to infer the sample's bifurcating…

Applications · Statistics 2024-10-22 Julie Zhang , Julia A. Palacios

Phylodynamics focuses on the problem of reconstructing past population size dynamics from current genetic samples taken from the population of interest. This technique has been extensively used in many areas of biology, but is particularly…

Computation · Statistics 2015-07-23 Shiwei Lan , Julia A. Palacios , Michael Karcher , Vladimir N. Minin , Babak Shahbaba

Changes in population size influence genetic diversity of the population and, as a result, leave a signature of these changes in individual genomes in the population. We are interested in the inverse problem of reconstructing past…

Methodology · Statistics 2015-03-19 Julia A. Palacios , Vladimir N. Minin

Kingman's coalescent is one of the most popular models in population genetics. It describes the genealogy of a population whose genetic composition evolves in time according to the Wright-Fisher model, or suitable approximations of it…

Methodology · Statistics 2018-04-20 Stefano Favaro , Shui Feng , Paul A. Jenkins

The COVID-19 pandemic demonstrated that fast and accurate analysis of continually collected infectious disease surveillance data is crucial for situational awareness and policy making. Coalescent-based phylodynamic analysis can use genetic…

Methodology · Statistics 2024-07-29 Catalina M. Medina , Julia A. Palacios , Volodymyr M. Minin

Studying how diverse human populations are related is of historical and anthropological interest, in addition to providing a realistic null model for testing for signatures of natural selection or disease associations. Furthermore,…

Populations and Evolution · Quantitative Biology 2018-07-10 Jeffrey P. Spence , Matthias Steinrücken , Jonathan Terhorst , Yun S. Song

We establish convergence to the Kingman coalescent for the genealogy of a geographically - or otherwise - structured version of the Wright-Fisher population model with fast migration. The new feature is that migration probabilities may…

Probability · Mathematics 2010-06-25 Serik Sagitov , Peter Jagers , Vladimir Vatutin

Estimation of epidemiological and population parameters from molecular sequence data has become central to the understanding of infectious disease dynamics. Various models have been proposed to infer details of the dynamics that describe…

Populations and Evolution · Quantitative Biology 2014-12-25 Alex Popinga , Tim Vaughan , Tanja Stadler , Alexei Drummond

To learn about the past from a sample of genomic sequences, one needs to understand how evolutionary processes shape genetic diversity. Most population genetic inference is based on frameworks assuming adaptive evolution is rare. But if…

Populations and Evolution · Quantitative Biology 2014-03-25 Richard A. Neher

Evolutionary models for populations of constant size are frequently studied using the Moran model, the Wright-Fisher model, or their diffusion limits. When evolution is neutral, a random genealogy given through Kingman's coalescent is used…

Populations and Evolution · Quantitative Biology 2012-07-31 Peter Pfaffelhuber , Benedikt Vogt

Recovery of population size history from molecular sequence data is an important problem in population genetics. Inference commonly relies on a coalescent model linking the population size history to genealogies. The high computational cost…

Statistics Theory · Mathematics 2018-01-17 James E. Johndrow , Julia A. Palacios

The observed sequence variation at a locus informs about the evolutionary history of the sample and past population size dynamics. The Kingman coalescent is used in a generative model of molecular sequence variation to infer evolutionary…

Methodology · Statistics 2021-06-22 Lorenzo Cappello , Amandine Veber , Julia A. Palacios

We establish convergence to the Kingman coalescent for a class of age-structured population models with time-constant population size. Time is discrete with unit called a year. Offspring numbers in a year may depend on mother's age.

Probability · Mathematics 2007-05-23 Serik Sagitov , Peter Jagers

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

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

Coalescent models are used to study the transmission dynamics of rapidly evolving pathogens from molecular sequence data obtained from infected individuals. However coalescent parameters, such as effective population size, offer limited…

Methodology · Statistics 2025-11-14 Isaac H. Goldstein , Julia A. Palacios

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

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
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