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When a biological population expands into new territory, genetic drift develops an enormous influence on evolution at the propagating front. In such range expansion processes, fluctuations in allele frequencies occur through stochastic…

Biological Physics · Physics 2018-12-24 Sherry Chu , Mehran Kardar , David R. Nelson , Daniel A. Beller

Within the framework of population genetics we consider the evolution of an asexual haploid population under the effect of a rapidly varying natural selection (microevolution). We focus on the case in which the environment exerting…

Populations and Evolution · Quantitative Biology 2015-06-22 Stefano Bo , Andrea Mazzolini , Antonio Celani

We discuss two different ways of chromosomes' and genomes' evolution. Purifying selection dominates in large panmictic populations, where Mendelian law of independent gene assortment is valid. If the populations are small, recombination…

Populations and Evolution · Quantitative Biology 2010-07-21 Stanislaw Cebrat , Dietrich Stauffer , Wojciech Waga

Adaptation in response to selection on polygenic phenotypes may occur via subtle allele frequencies shifts at many loci. Current population genomic techniques are not well posed to identify such signals. In the past decade, detailed…

Populations and Evolution · Quantitative Biology 2014-08-19 Jeremy J. Berg , Graham Coop

Divergence between populations for a given trait can be driven by natural or sexual selection, interacting with migration behaviour. Mating preference for different phenotypes can lead to the emergence and persistence of differentiated…

Populations and Evolution · Quantitative Biology 2018-01-25 Charline Smadi , Helene Leman , Violaine Llaurens

A precise estimate of allele and haplotype polymorphism is of great interest in theoretical population genetics, but also has practical applications, such as bone marrow registries management. Allele polymorphism is driven mainly by point…

Populations and Evolution · Quantitative Biology 2022-08-19 Akiva Bruno Melka , Yoram Louzoun

A haplotype block, or simply a block, is a chromosomal segment, DNA base sequence or string that occurs in only a few variants or types in the genomes of a population of interest, and that has an encapsulated or 'private' frequency…

Populations and Evolution · Quantitative Biology 2024-06-21 Oliver Keatinge Clay

We define a general class of models representing natural selection between two alleles. The population size and spatial structure are arbitrary, but fixed. Genetics can be haploid, diploid, or otherwise; reproduction can be asexual or…

Populations and Evolution · Quantitative Biology 2021-02-05 Benjamin Allen , Alex McAvoy

Standard neutral population genetics theory with a strictly fixed population size has important limitations. An alternative model that allows independently fluctuating population sizes and reproduces the standard neutral evolution is…

Populations and Evolution · Quantitative Biology 2017-03-08 Thiparat Chotibut , David R. Nelson

A large offspring number diploid biparental multilocus population model of Moran type is our object of study. At each timestep, a pair of diploid individuals drawn uniformly at random contribute offspring to the population. The number of…

Populations and Evolution · Quantitative Biology 2012-10-31 Matthias Birkner , Jochen Blath , Bjarki Eldon

Sweepstakes reproduction may be generated by chance matching of reproduction with favorable environmental conditions. Gene genealogies generated by sweepstakes reproduction are in the domain of attraction of multiple-merger coalescents…

Probability · Mathematics 2026-01-15 Bjarki Eldon

In this paper we analyse the genetic evolution of a diploid hermaphroditic population, which is modelled by a three-type nonlinear birth-and-death process with competition and Mendelian reproduction. In a recent paper, Collet et al., 2013…

Probability · Mathematics 2017-08-28 Anton Bovier , Rebecca Neukirch

The effects of error propagation in the reproduction of diploid organisms are studied within the populational genetics framework of the quasispecies model. The dependence of the error threshold on the dominance parameter is fully…

Disordered Systems and Neural Networks · Physics 2016-08-31 Domingos Alves , J. F. Fontanari

This work is devoted to the study of a stochastic logistic growth model with and without the Allee effect. Such a model describes the evolution of a population under environmental stochastic fluctuations and is in the form of a stochastic…

Populations and Evolution · Quantitative Biology 2020-08-05 Almaz Tesfay , Daniel Tesfay , James Brannan , Jinqiao Duan

Speciation is fundamental to the huge diversity of life on Earth. Evidence suggests reproductive isolation arises most commonly in allopatry with a higher speciation rate in small populations. Current theory does not address this dependence…

Populations and Evolution · Quantitative Biology 2015-03-27 Bhavin S. Khatri , Richard A. Goldstein

The distribution and heritability of many traits depends on numerous loci in the genome. In general, the astronomical number of possible genotypes makes the system with large numbers of loci difficult to describe. Multilocus evolution,…

Populations and Evolution · Quantitative Biology 2012-08-01 Richard A. Neher , Boris I. Shraiman

Comparing allele frequencies among populations that differ in environment has long been a tool for detecting loci involved in local adaptation. However, such analyses are complicated by an imperfect knowledge of population allele…

Populations and Evolution · Quantitative Biology 2012-09-17 Torsten Günther , Graham Coop

Recurrent mutations are a common phenomenon in population genetics. They may be at the origin of the fixation of a new genotype, if they give a phenotypic advantage to the carriers of the new mutation. In this paper, we are interested in…

Probability · Mathematics 2016-11-28 Charline Smadi

A steady influx of a single deleterious multilocus genotype will impose genetic load on the resident population and leave multiple descendants carrying various numbers of the foreign alleles. Provided that the foreign types are rare at…

Populations and Evolution · Quantitative Biology 2015-06-16 Alexey Yanchukov , Stephen R. Proulx

Sex in higher diploids carries a two-fold cost of males that should reduce its fitness relative to cloning and result in its extinction. Instead, sex is widespread and it is clonal species that face early obsolescence. One possible reason…

Populations and Evolution · Quantitative Biology 2013-04-24 David Green , Chris Mason