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A fundamental problem in community ecology is to understand how ecological processes such as selection, drift, and immigration give rise to observed patterns in species composition and diversity. Here, we present a simple, analytically…

Populations and Evolution · Quantitative Biology 2016-09-07 Benjamin Dickens , Charles K. Fisher , Pankaj Mehta

The statistical properties of an ecosystem composed of species interacting via pairwise, random interactions and deterministic, concentration limiting self-interaction are studied analytically with tools of equilibrium statistical mechanics…

Disordered Systems and Neural Networks · Physics 2009-11-07 Viviane M. de Oliveira , J. F. Fontanari

Clonal interference, competition between multiple co-occurring beneficial mutations, has a major role in adaptation of asexual populations. We provide a simple individual based stochastic model of clonal interference taking into account a…

Probability · Mathematics 2015-05-19 Sylvain Billiard , Charline Smadi

Character evolution that affects ecological community interactions often occurs contemporaneously with temporal changes in population size, potentially altering the very nature of those dynamics. Such eco-evolutionary processes may be most…

Populations and Evolution · Quantitative Biology 2012-06-12 Laura E. Jones , Lutz Becks , Stephen P. Ellner , Nelson G. Hairston , Takehito Yoshida , Gregor F. Fussmann

In this working paper, we present a simple theoretical framework based on network theory to study how speciation, the process by which new species appear, shapes spatial patterns of diversity. We show that this framework can be expanded to…

Populations and Evolution · Quantitative Biology 2012-09-13 Philippe Desjardins-Proulx , James L. Rosindell , Timothée Poisot , Dominique Gravel

The spatial dispersal of individuals is known to play an important role in the dynamics of populations, and is central to metapopulation theory. At the same time, local adaptation to environmental conditions creates a geographic mosaic of…

Populations and Evolution · Quantitative Biology 2017-09-25 Justin D. Yeakel , Jean P. Gibert , Peter A. H. Westley , Jonathan W. Moore

The identification of key populations shaping the structure and connectivity of metapopulation systems is a major challenge in population ecology. The use of molecular markers in the theoretical framework of population genetics has allowed…

Populations and Evolution · Quantitative Biology 2008-11-21 Alejandro F. Rozenfeld , Sophie Arnaud-Haond , Emilio Hernandez-Garcia , Victor M. Eguiluz , Ester A. Serrao , Carlos M. Duarte

Complex interactions are at the root of the population dynamics of many natural systems, particularly for being responsible for the allocation of species and individuals across apposite niches of the ecological landscapes. On the other…

Statistical Mechanics · Physics 2022-09-21 Jean-François de Kemmeter , Timoteo Carletti , Malbor Asllani

To learn about the past from a sample of genomic sequences, one needs to understand how evolutionary processes shape genetic diversity. Most population genetic inference is based on frameworks assuming adaptive evolution is rare. But if…

Populations and Evolution · Quantitative Biology 2014-03-25 Richard A. Neher

The concept of neutral evolutionary networks being a significant factor in evolutionary dynamics was first proposed by Huynen {\em et al.} about 7 years ago. In one sense, the principle is easy to state -- because most mutations to an…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Russell K. Standish

How natural selection acts to limit the proliferation of transposable elements (TEs) in genomes has been of interest to evolutionary biologists for many years. To describe TE dynamics in populations, many previous studies have used models…

Populations and Evolution · Quantitative Biology 2014-03-04 Justin P. Blumenstiel , Xi Chen , Miaomiao He , Casey M. Bergman

This article partakes of the PEGASE project the goal of which is a better understanding of the mechanisms explaining the behaviour of species living in a network of forest patches linked by ecological corridors (hedges for instance).…

Probability · Mathematics 2021-09-15 Gauthier Delvoye , Olivier Goubet , Frédéric Paccaut

Selective sweeps affect neutral genetic diversity through hitchhiking. While this effect is limited to the local genomic region of the sweep in panmictic populations, we find that in spatially-extended populations the combined effects of…

Populations and Evolution · Quantitative Biology 2016-11-08 Daniel B. Weissman

We construct an individual-based metapopulation model of population genetics featuring migration, mutation, selection and genetic drift. In the case of a single `island', the model reduces to the Moran model. Using the diffusion…

Populations and Evolution · Quantitative Biology 2015-04-16 George W. A. Constable , Alan J. McKane

We present a novel approach allowing the study of rare events like fixation under fluctuating environments, modeled as extrinsic noise, in evolutionary processes characterized by the dominance of one species. Our treatment consists of…

Populations and Evolution · Quantitative Biology 2013-12-16 Michael Assaf , Mauro Mobilia , Elijah Roberts

We investigate a neutral model for speciation and extinction, the constant rate birth-death process. The process is conditioned to have $n$ extant species today, we look at the tree distribution of the reconstructed trees-- i.e. the trees…

Probability · Mathematics 2008-03-04 Tanja Gernhard

Most population models assume that individuals within a given population are identical, that is, the fundamental role of variation is ignored. Here we develop a general approach to modeling heterogeneous populations with discrete…

Populations and Evolution · Quantitative Biology 2007-05-23 Georgy P. Karev , Artem S. Novozhilov , Faina S. Berezovskaya

We consider a stationary continuous model of random size population with non-neutral mutations using a continuous state branching process with non-homogeneous immigration. We assume the type (or mutation) of the immigrants is random given…

Probability · Mathematics 2013-07-26 Hongwei Bi , Jean-François Delmas

We investigate the problem of speciation and coexistence in simple ecosystems when the competition among individuals is included in the Eigen model for quasi-species. By suggesting an analogy between the competition among strains and the…

Statistical Mechanics · Physics 2008-02-03 Franco Bagnoli , Michele Bezzi

Our understanding of the evolutionary process has gone a long way since the publication, 150 years ago, of "On the origin of species" by Charles R. Darwin. The XXth Century witnessed great efforts to embrace replication, mutation, and…

Populations and Evolution · Quantitative Biology 2012-02-02 Susanna C. Manrubia , Jose A. Cuesta