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The classical approaches to the modeling of sex ratio evolution can be divided into two classes. The first class contains the static strategic models related to the Dusing Fisher Shaw Mohler fitness measure, based on the reproductive value…

Populations and Evolution · Quantitative Biology 2014-03-14 Krzysztof Argasinski

Annotations of gene structures and regulatory elements can inform genome-wide association studies (GWAS). However, choosing the relevant annotations for interpreting an association study of a given trait remains challenging. We describe a…

Genomics · Quantitative Biology 2014-04-24 Joseph K. Pickrell

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…

Understanding the genetic underpinnings of complex traits and diseases has been greatly advanced by genome-wide association studies (GWAS). However, a significant portion of trait heritability remains unexplained, known as ``missing…

Genomics · Quantitative Biology 2024-09-05 Samhita Pal , Xinge Jessie Jeng

We consider a single genetic locus which carries two alleles, labelled P and Q. This locus experiences selection and mutation. It is linked to a second neutral locus with recombination rate r. If r=0, this reduces to the study of a single…

Probability · Mathematics 2007-05-23 N. H. Barton , A. M. Etheridge , A. K. Sturm

Several populational networks present complex topologies when implemented in evolutionary algorithms. A common feature of these topologies is the emergence of a power law. Power law behavior with different scaling factors can also be…

Computation · Statistics 2022-03-08 Francisco Leonardo Bezerra Martins , José Cláudio do Nascimento

The exploration of vast genotype spaces poses fundamental challenges for evolving populations. As the number of genotypes encoding viable phenotypes grows exponentially with genome length, populations can only explore a tiny fraction of…

Populations and Evolution · Quantitative Biology 2026-01-21 Susanna Manrubia , Luis F. Seoane , José A. Cuesta

We suggest a natural approach that leads to a modification of classical quasispecies models and incorporates the possibility of population extinction in addition to growth. The resulting modified models are called open. Their essential…

Populations and Evolution · Quantitative Biology 2019-03-25 Ivan Yegorov , Artem S. Novozhilov , Alexander S. Bratus

We consider neutral evolution of a large population subject to changes in its population size. For a population with a time-variable carrying capacity we have computed the distributions of the total branch lengths of its sample genealogies.…

Populations and Evolution · Quantitative Biology 2012-06-13 A. Eriksson , B. Mehlig , M. Rafajlovic , S. Sagitov

We study the evolution of the network properties of a populated network embedded in a genotype space characterised by either a low or a high number of potential links, with particular emphasis on the connectivity and clustering. Evolution…

Statistical Mechanics · Physics 2007-05-23 Paul Anderson , Henrik Jeldtoft Jensen

Mapping expression Quantitative Trait Loci (eQTLs) represents a powerful and widely-adopted approach to identifying putative regulatory variants and linking them to specific genes. Up to now eQTL studies have been conducted in a relatively…

Quantitative Methods · Quantitative Biology 2013-08-12 Timothée Flutre , Xiaoquan Wen , Jonathan Pritchard , Matthew Stephens

Natural populations often show enhanced genetic drift consistent with a strong skew in their offspring number distribution. The skew arises because the variability of family sizes is either inherently strong or amplified by population…

Populations and Evolution · Quantitative Biology 2022-01-13 Takashi Okada , Oskar Hallatschek

We analyse interactions of Quantitative Trait Loci (QTL) in heat selected yeast by comparing them to an unselected pool of random individuals. Here we re-examine data on individual F12 progeny selected for heat tolerance, which have been…

Genomics · Quantitative Biology 2015-03-20 Evgeny M. Mirkes , Thomas Walsh , Edward J. Louis , Alexander N. Gorban

Most statistical methods for QTL mapping focus on a single phenotype. However, multiple phenotypes are commonly measured, and recent technological advances have greatly simplified the automated acquisition of numerous phenotypes, including…

Applications · Statistics 2014-08-11 Il-Youp Kwak , Candace R. Moore , Edgar P. Spalding , Karl W. Broman

A simplified form of the time dependent evolutionary dynamics of a quasispecies model with a rugged fitness landscape is solved via a mapping onto a random flux model whose asymptotic behavior can be described in terms of a random walk. The…

Statistical Mechanics · Physics 2009-11-11 Clement Sire , Satya N. Majumdar , David S. Dean

Subcritical population processes are attracted to extinction and do not have non-trivial stationary distributions, which prompts the study of quasi-stationary distributions (QSDs) instead. In contrast to what generally happens for…

Probability · Mathematics 2026-02-12 Pablo Groisman , Leonardo T. Rolla , Célio Terra

We consider an asexual population under strong selection-weak mutation conditions evolving on rugged fitness landscapes with many local fitness peaks. Unlike the previous studies in which the initial fitness of the population is assumed to…

Populations and Evolution · Quantitative Biology 2011-11-18 Kavita Jain , Sarada Seetharaman

In many models of genotypic evolution, the vector of genotype populations satisfies a system of linear ordinary differential equations. This system of equations models a competition between differential replication rates (fitness) and…

Populations and Evolution · Quantitative Biology 2009-11-13 Charles L. Epstein

Many cultural traits characterizing intelligent behaviors are now thought to be transmitted through statistical learning, motivating us to study its effects on cultural evolution. We conduct a large-scale music data analysis and observe…

Physics and Society · Physics 2021-09-29 Eita Nakamura

Given a set of species whose evolution is represented by a species tree, a gene family is a group of genes having evolved from a single ancestral gene. A gene family evolves along the branches of a species tree through various mechanisms,…

Combinatorics · Mathematics 2019-05-14 Cedric Chauve , Yann Ponty , Michael Wallner
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