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Understanding the influence of an environment on the evolution of its resident population is a major challenge in evolutionary biology. Great progress has been made in homogeneous population structures while heterogeneous structures have…

Populations and Evolution · Quantitative Biology 2014-07-30 Wes Maciejewski , Gregory J. Puleo

The rise of trait-based ecology has led to an increased focus on the distribution and dynamics of traits in communities. However, a general theory of trait-based ecology, that can apply across different scales (e.g., species that differ in…

Populations and Evolution · Quantitative Biology 2015-02-25 Brian J. Enquist , Jon Norberg , Stephen P. Bonser , Cyrille Violle , Colleen T. Webb , Amanda Henderson , Lindsey L. Sloat , Van M. Savage

Genotype-phenotype (GP) maps specify how the random mutations that change genotypes generate variation by altering phenotypes, which, in turn, can trigger selection. Many GP maps share the following general properties: 1) The number of…

Populations and Evolution · Quantitative Biology 2014-02-07 Ard A Louis , Steffen Schaper

Population genetics lies at the heart of evolutionary theory. This topic forms part of many biological science curricula but is rarely taught to physics students. Since physicists are becoming increasingly interested in biological…

Populations and Evolution · Quantitative Biology 2024-12-11 Andrea Iglesias-Ramas , Samuele Pio Lipani , Rosalind J. Allen

Causal inference approaches in systems genetics exploit quantitative trait loci (QTL) genotypes to infer causal relationships among phenotypes. The genetic architecture of each phenotype may be complex, and poorly estimated genetic…

Applications · Statistics 2010-10-08 Elias Chaibub Neto , Mark P. Keller , Alan D. Attie , Brian S. Yandell

We consider a population with non-overlapping generations, whose size goes to infinity. It is described by a discrete genealogy which may be time non-homogeneous and we pay special attention to branching trees in varying environments. A…

Probability · Mathematics 2013-05-22 Vincent Bansaye , Chunmao Huang

Background: Speciation corresponds to the progressive establishment of reproductive barriers between groups of individuals derived from an ancestral stock. Since Darwin did not believe that reproductive barriers could be selected for, he…

Populations and Evolution · Quantitative Biology 2011-12-12 Etienne Joly

There have been many studies to examine whether one trait is correlated with another trait across a group of present-day species (for example, do species with larger brains tend to have longer gestation times. Since the introduction of the…

Populations and Evolution · Quantitative Biology 2023-09-07 Albert Ch. Soewongsono , Barbara R. Holland , Malgorzata M. O'Reilly

Simple analytic considerations are applied to recently discovered patterns in a generalized Fisher equation for population dynamics. The generalization consists of the inclusion of non-local competition interactions among individuals. We…

Pattern Formation and Solitons · Physics 2007-05-23 M. A. Fuentes , M. N. Kuperman , V. M. Kenkre

Most of the problems in genetic algorithms are very complex and demand a large amount of resources that current technology can not offer. Our purpose was to develop a Java-JINI distributed library that implements Genetic Algorithms with…

Neural and Evolutionary Computing · Computer Science 2016-05-24 Marco AR Erra , Pedro MM Mitra , Agostinho C Rosa

The contribution to an organism's phenotype from one genetic locus may depend upon the status of other loci. Such epistatic interactions among loci are now recognized as fundamental to shaping the process of adaptation in evolving…

Populations and Evolution · Quantitative Biology 2012-12-18 Jeremy A. Draghi , Joshua B. Plotkin

Understanding which phenotypic traits are consistently correlated throughout evolution is a highly pertinent problem in modern evolutionary biology. Here, we propose a multivariate phylogenetic latent liability model for assessing the…

Populations and Evolution · Quantitative Biology 2015-09-17 Gabriela B. Cybis , Janet S. Sinsheimer , Trevor Bedford , Alison E. Mather , Philippe Lemey , Marc A. Suchard

We consider the evolution of populations under the joint action of mutation and differential reproduction, or selection. The population is modelled as a finite-type Markov branching process in continuous time, and the associated…

Populations and Evolution · Quantitative Biology 2009-02-23 Ellen Baake , Hans-Otto Georgii

Topological features of gene regulatory networks can be successfully reproduced by a model population evolving under selection for short dynamical attractors. The evolved population of networks exhibit motif statistics, summarized by…

Molecular Networks · Quantitative Biology 2016-08-11 Burçin Danacı , Mehmet Ali Anıl , Ayşe Erzan

In this paper we investigate a neural network model in which weights between computational nodes are modified according to a local learning rule. To determine whether local learning rules are sufficient for learning, we encode the network…

Neural and Evolutionary Computing · Computer Science 2025-12-08 Jonathan Baxter

We propose a mathematical framework for natural selection in finite populations. Traditionally, many of the selection-based processes used to describe cultural and genetic evolution (such as imitation and birth-death models) have been…

Populations and Evolution · Quantitative Biology 2015-11-18 Alex McAvoy

A common view in evolutionary biology is that mutation rates are minimised. However, studies in combinatorial optimisation and search have shown a clear advantage of using variable mutation rates as a control parameter to optimise the…

Populations and Evolution · Quantitative Biology 2019-08-27 Roman V. Belavkin , Alastair Channon , Elizabeth Aston , John Aston , Rok Krasovec , Christopher G. Knight

In a mouse intercross with more than 500 animals and genome-wide gene expression data on six tissues, we identified a high proportion (18%) of sample mix-ups in the genotype data. Local expression quantitative trait loci (eQTL; genetic loci…

In ecology and population dynamics, gene-flow refers to the transfer of a trait from one population to another. This phenomenon appears in studying the evolution of social features, such as languages. From the mathematical point of view,…

Optimization and Control · Mathematics 2021-10-22 Idriss Mazari , Domenec Ruiz-Balet , Enrique Zuazua

We obtain general inequalities constraining the difference between the average of an arbitrary function of a phenotypic trait, which includes the fitness landscape of the trait itself, in the presence or in the absence of natural selection.…

Populations and Evolution · Quantitative Biology 2021-06-16 Arthur Genthon , David Lacoste