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In this paper, we study the significance of ecological interactions and separation of birth and death dynamics in stochastic heterogeneous populations via general birth-death processes. Interactions can manifest through the birth dynamics,…

种群与进化 · 定量生物学 2025-07-03 Erin Beckman , Heyrim Cho , Linh Huynh

Many population genetic models have been developed for the purpose of inferring population size and growth rates from random samples of genetic data. We examine two popular approaches to this problem, the coalescent and the…

种群与进化 · 定量生物学 2014-08-29 Erik M. Volz , Simon DW Frost

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…

种群与进化 · 定量生物学 2014-12-04 Olivier Mazet , Willy Rodríguez , Lounès Chikhi

Many imaging techniques for biological systems -- like fixation of cells coupled with fluorescence microscopy -- provide sharp spatial resolution in reporting locations of individuals at a single moment in time but also destroy the dynamics…

亚细胞过程 · 定量生物学 2024-05-15 Christopher E. Miles , Scott A. McKinley , Fangyuan Ding , Richard B. Lehoucq

It has been shown that differences in fecundity variance can influence the probability of invasion of a genotype in a population, i.e. a genotype with lower variance in offspring number can be favored in finite populations even if it has a…

种群与进化 · 定量生物学 2007-05-23 Max Shpak

Stochastic kinetic models are often used to describe complex biological processes. Typically these models are analytically intractable and have unknown parameters which need to be estimated from observed data. Ideally we would have…

统计计算 · 统计学 2018-03-13 Richard J. Boys , Holly F. Ainsworth , Colin S. Gillespie

Genetic data obtained on population samples convey information about their evolutionary history. Inference methods can extract this information (at least partially) but they require sophisticated statistical techniques that have been made…

Demographic models built from genetic data play important roles in illuminating prehistorical events and serving as null models in genome scans for selection. We introduce an inference method based on the joint frequency spectrum of genetic…

种群与进化 · 定量生物学 2010-05-10 Ryan N. Gutenkunst , Ryan D. Hernandez , Scott H. Williamson , Carlos D. Bustamante

Clonal interference, competition between multiple co-occurring beneficial mutations, has a major role in adaptation of asexual populations. We provide a simple individual based stochastic model of clonal interference taking into account a…

概率论 · 数学 2015-05-19 Sylvain Billiard , Charline Smadi

Inference with population genetic data usually treats the population pedigree as a nuisance parameter, the unobserved product of a past history of random mating. However, the history of genetic relationships in a given population is a…

种群与进化 · 定量生物学 2019-04-02 Peter L. Ralph

Density dependence is important in the ecology and evolution of microbial and cancer cells. Typically, we can only measure net growth rates, but the underlying density-dependent mechanisms that give rise to the observed dynamics can…

种群与进化 · 定量生物学 2025-06-04 Linh Huynh , Jacob G. Scott , Peter J. Thomas

The internal behaviour of a population is an important feature to take account of when modelling their dynamics. In line with kin selection theory, many social species tend to cluster into distinct groups in order to enhance their overall…

统计方法学 · 统计学 2023-11-02 Blake McGrane-Corrigan , Oliver Mason , Rafael de Andrade Moral

We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

概率论 · 数学 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

Populations of isogenic embryonic stem cells or clonal bacteria often exhibit extensive phenotypic heterogeneity which arises from stochastic intrinsic dynamics of cells. The internal state of the cell can be transmitted epigenetically in…

种群与进化 · 定量生物学 2016-02-17 Sahand Hormoz , Nicolas Desprat , Boris I. Shraiman

This paper deals with the stochastic modeling of a class of heterogeneous population in a random environment, called birth-death-swap. In addition to demographic events, swap events, i.e. moves between subgroups, occur in the population.…

概率论 · 数学 2024-02-28 Sarah Kaakai , Nicole El Karoui

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…

种群与进化 · 定量生物学 2014-12-25 Alex Popinga , Tim Vaughan , Tanja Stadler , Alexei Drummond

Evolution occurs in populations of reproducing individuals. The structure of a biological population affects which traits evolve. Understanding evolutionary game dynamics in structured populations is difficult. Precise results have been…

种群与进化 · 定量生物学 2017-08-16 Benjamin Allen , Gabor Lippner , Yu-Ting Chen , Babak Fotouhi , Naghmeh Momeni , Martin A. Nowak , Shing-Tung Yau

Understanding how stochastic and non-linear deterministic processes interact is a major challenge in population dynamics theory. After a short review, we introduce a stochastic individual-centered particle model to describe the evolution in…

概率论 · 数学 2009-06-29 Regis Ferriere , Viet Chi Tran

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…

种群与进化 · 定量生物学 2014-03-25 Richard A. Neher

The genetic diversity of a species is shaped by its recent evolutionary history and can be used to infer demographic events or selective sweeps. Most inference methods are based on the null hypothesis that natural selection is a weak or…

种群与进化 · 定量生物学 2013-03-05 Richard A. Neher , Oskar Hallatschek
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