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When organisms adapt to spatially heterogeneous environments, selection may drive divergence at multiple genes. If populations under divergent selection also exchange migrants, we expect genetic differentiation to be high at selected loci,…

Populations and Evolution · Quantitative Biology 2014-07-21 Simon Aeschbacher , Reinhard Buerger

Repetitions within a given genealogical tree provides some information about the degree of consanguineity of a population. They can be analyzed with techniques usually employed in statistical physics when dealing with fixed point…

Statistical Mechanics · Physics 2009-10-31 Paolo De Los Rios , Oscar Pla

In this work, we characterize the solution of a system of elliptic integro-differential equations describing a phenotypically structured population subject to mutation, selection and migration between two habitats. Assuming that the effects…

Analysis of PDEs · Mathematics 2016-12-20 Sepideh Mirrahimi

Computer experiments that mirror the evolutionary dynamics of sexual and asexual organisms as they occur in nature, tested features proposed to explain the evolution of sexual recombination. Results show that this evolution is better…

Populations and Evolution · Quantitative Biology 2018-04-18 Klaus Jaffe

Many biological populations exhibit diversity in their strategy for survival and reproduction in a given environment, and microbes are an example. We explore the fate of different strategies under sustained environmental change by…

Populations and Evolution · Quantitative Biology 2025-09-24 Ruixi Huang , David Waxman

Inferring dependencies between complex biological traits while accounting for evolutionary relationships between specimens is of great scientific interest yet remains infeasible when trait and specimen counts grow large. The…

Diversity indices are useful single-number metrics for characterizing a complex distribution of a set of attributes across a population of interest. The utility of these different metrics or sets of metrics depend on the context and…

Populations and Evolution · Quantitative Biology 2020-03-06 Song Xu , Lucas Böttcher , Tom Chou

We present an efficient phylogenetic reconstruction algorithm allowing insertions and deletions which provably achieves a sequence-length requirement (or sample complexity) growing polynomially in the number of taxa. Our algorithm is…

Probability · Mathematics 2013-02-25 Constantinos Daskalakis , Sebastien Roch

We consider a population subdivided into two demes connected by migration in which selection acts in opposite direction. We explore the effects of recombination and migration on the maintenance of multilocus polymorphism, on local…

Populations and Evolution · Quantitative Biology 2014-07-21 Ada Akerman , Reinhard Bürger

Biological phenotypes are products of complex evolutionary processes in which selective forces influence multiple biological trait measurements in unknown ways. Phylogenetic factor analysis disentangles these relationships across the…

Mutualistic interactions, which are beneficial for both interacting species, are recurrently present in ecosystems. Observations of natural systems showed that, if we draw mutualistic relationships as binary links between species, the…

Physics and Society · Physics 2019-08-21 Clàudia Payrató Borrás , Laura Hernández , Yamir Moreno

The search for similarity and dissimilarity measures on phylogenetic trees has been motivated by the computation of consensus trees, the search by similarity in phylogenetic databases, and the assessment of clustering results in…

Populations and Evolution · Quantitative Biology 2011-11-09 Francesc Rossello , Gabriel Valiente

We derive exact formulae for the allele frequency spectrum under the coalescent with mutation, conditioned on allele counts at some fixed time in the past. We consider unlinked biallelic markers mutating according to a finite sites, or…

Populations and Evolution · Quantitative Biology 2011-09-19 David Bryant , Arindam RoyChoudhury , Remco Bouckaert , Joseph Felsenstein , Noah Rosenberg

A wide variety of stochastic models of cladogenesis (based on speciation and extinction) lead to an identical distribution on phylogenetic tree shapes once the edge lengths are ignored. By contrast, the distribution of the tree's edge…

Populations and Evolution · Quantitative Biology 2024-11-05 Mike Steel

In this work, we provide an asymptotic analysis of the solutions to an elliptic integro-differential equation. This equation describes the evolutionary equilibria of a phenotypically structured population, subject to selection, mutation,…

Analysis of PDEs · Mathematics 2022-01-19 Alexis Léculier , Sepideh Mirrahimi

We introduce a modified spatial $\Lambda$-Fleming-Viot process to model the ancestry of individuals in a population occupying a continuous spatial habitat divided into two areas by a sharp discontinuity of the dispersal rate and effective…

Probability · Mathematics 2023-06-14 Raphael Forien , Harald Ringbauer , Graham Coop

We review recent progress in the understanding of the role of multiple- and simultaneous multiple merger coalescents as models for the genealogy in idealised and real populations with exceptional reproductive behaviour. In particular, we…

Probability · Mathematics 2021-07-22 Matthias Birkner , Jochen Blath

We introduce a notion of finite sampling consistency for phylogenetic trees and show that the set of finitely sampling consistent and exchangeable distributions on n leaf phylogenetic trees is a polytope. We use this polytope to show that…

Combinatorics · Mathematics 2019-03-06 Ben Hollering , Seth Sullivant

A probabilistic reconstruction of genealogies in a polyploid population (from 2x to 4x) is investigated, by considering genetic data analyzed as the probability of allele presence in a given genotype. Based on the likelihood of all possible…

Populations and Evolution · Quantitative Biology 2018-11-29 Frédéric Proïa , Fabien Panloup , Chiraz Trabelsi , Jérémy Clotault

Phylogenetics is the study of the evolutionary relationships between organisms. One of the main challenges in the field is to take biological data for a group of organisms and to infer an evolutionary tree, a graph that represents these…

Populations and Evolution · Quantitative Biology 2019-06-05 Elizabeth Gross , Colby Long , Joseph Rusinko