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Modelling the evolution of a continuous trait in a biological population is one of the oldest problems in evolutionary biology, which led to the birth of quantitative genetics. With the recent development of GWAS methods, it has become…

Probability · Mathematics 2026-04-20 Philibert Courau , Amaury Lambert , Emmanuel Schertzer

A central question in evolutionary biology is how to quantitatively understand the dynamics of genetically diverse populations. Modeling the genotype distribution is challenging, as it ultimately requires tracking all correlations (or…

Populations and Evolution · Quantitative Biology 2025-09-19 Kai S. Shimagaki , Jorge Fernandez-de-Cossio-Diaz , Mauro Pastore , Rémi Monasson , Simona Cocco , John P. Barton

In the classic view introduced by R. A. Fisher, a quantitative trait is encoded by many loci with small, additive effects. Recent advances in QTL mapping have begun to elucidate the genetic architectures underlying vast numbers of…

Populations and Evolution · Quantitative Biology 2013-10-04 Etienne Rajon , Joshua B. Plotkin

This review is about statistical genetics, an interdisciplinary topic between statistical physics and population biology. The focus is on the phase of quasi-linkage equilibrium (QLE). Our goals here are to clarify under which conditions the…

Populations and Evolution · Quantitative Biology 2023-04-07 Vito Dichio , Hong-Li Zeng , Erik Aurell

Genetic systems with multiple loci can have complex dynamics. For example, mean fitness need not always increase and stable cycling is possible. Here, we study the dynamics of a genetic system inspired by the molecular biology of…

Populations and Evolution · Quantitative Biology 2019-05-10 Timothy W. Russell , Matthew J. Russell , Francisco Úbeda , Vincent A. A. Jansen

Selection, mutation and random drift affect the dynamics of allele frequencies and consequently of quantitative traits. While the macroscopic dynamics of quantitative traits can be measured, the underlying allele frequencies are typically…

Populations and Evolution · Quantitative Biology 2016-03-15 Katarína Boďová , Gašper Tkačik , Nicholas H. Barton

Describing the evolution of a population of genomes evolving in a complex fitness landscape is generally very hard. We here introduce an approximate Gaussian closure scheme to characterize analytically the statistics of a genomic population…

Statistical Mechanics · Physics 2021-02-03 Eugenio Mauri , Simona Cocco , Rémi Monasson

Molecular phenotypes are important links between genomic information and organismic functions, fitness, and evolution. Complex phenotypes, which are also called quantitative traits, often depend on multiple genomic loci. Their evolution…

Populations and Evolution · Quantitative Biology 2015-06-12 Armita Nourmohammad , Stephan Schiffels , Michael Laessig

The phase of Quasi-Linkage Equilibrium (QLE) in evolutionary populations is analogous to the thermal equilibrium state in statistical mechanics, a concept pioneered by Kimura in 1965 for two-locus two-allele models. QLE describes a…

Populations and Evolution · Quantitative Biology 2026-05-22 Yu-Han Huang , Bastien Dumont , Hong-Li Zeng , John Barton , Erik Aurell

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

Many experimental and field studies have shown that adaptation can occur very rapidly. Two qualitatively different modes of fast adaptation have been proposed: selective sweeps wherein large shifts in the allele frequencies occur at a few…

Populations and Evolution · Quantitative Biology 2018-10-19 Kavita Jain , Wolfgang Stephan

Background and Aims: Prediction of phenotypic traits from new genotypes under untested environmental conditions is crucial to build simulations of breeding strategies to improve target traits. Although the plant response to environmental…

Statistics Theory · Mathematics 2010-10-27 Veronique Letort , Paul Mahe , Paul-Henry Cournède , Philippe De Reffye , Brigitte Courtois

1) Micro-evolutionary predictions are complicated by ecological feedbacks like density dependence, while ecological predictions can be complicated by evolutionary change. A widely used approach in micro-evolution, quantitative genetics,…

Populations and Evolution · Quantitative Biology 2015-09-07 Tim Coulson , Floriane Plard , Susanne Schindler , Arpat Ozgul , Jean-Michel Gaillard

Genetic diversity is central to the process of evolution. Both natural selection and random genetic drift are influenced by the level of genetic diversity of a population; selection acts on diversity while drift samples from it. At a given…

Populations and Evolution · Quantitative Biology 2024-11-12 Nikolas Vellnow , Toni I. Gossmann , David Waxman

A quasispecies is a set of interrelated genotypes that have reached a situation of equilibrium while evolving according to the usual Darwinian principles of selection and mutation. Quasispecies studies invariably assume that it is possible…

Populations and Evolution · Quantitative Biology 2012-08-21 Valmir C. Barbosa , Raul Donangelo , Sergio R. Souza

Numerous traits under migration-selection balance are shown to exhibit complex patterns of genetic architecture with large variance in effect sizes. However, the conditions under which such genetic architectures are stable have yet to be…

Populations and Evolution · Quantitative Biology 2022-11-01 Léonard Dekens , Sarah P. Otto , Vincent Calvez

We consider a population evolving due to mutation, selection and recombination, where selection includes single-locus terms (additive fitness) and two-loci terms (pairwise epistatic fitness). We further consider the problem of inferring…

Populations and Evolution · Quantitative Biology 2021-09-01 Hong-Li Zeng , Eugenio Mauri , Vito Dichio , Simona Cocco , Remi Monasson , Erik Aurell

Genetic association study is an essential step to discover genetic factors that are associated with a complex trait of interest. In this paper we present a novel generalized quasi-likelihood score (GQLS) test that is suitable for a study…

Applications · Statistics 2011-11-24 Zeny Feng , William W. L. Wong , Xin Gao , Flavio Schenkel

Large populations may contain numerous simultaneously segregating polymorphisms subject to natural selection. Since selection acts on individuals whose fitness depends on many loci, different loci affect each other's dynamics. This leads to…

Populations and Evolution · Quantitative Biology 2011-08-09 Richard A. Neher , Boris I. Shraiman

Although many phenotypic traits are determined by a large number of genetic variants, the behavior of allele frequencies in a polygenic trait is not completely understood. The problem is especially challenging when the quantitative trait of…

Populations and Evolution · Quantitative Biology 2026-03-31 Archana Devi , Kavita Jain
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