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Speciation is the "elephant in the room" of community ecology. As the ultimate source of biodiversity, its integration in ecology's theoretical corpus is necessary to understand community assembly. Yet, speciation is often completely…

Populations and Evolution · Quantitative Biology 2012-08-07 Philippe Desjardins-Proulx , Dominique Gravel

A two-type two-sex branching process is introduced with the aim of describing the interaction of predator and prey populations with sexual reproduction and promiscuous mating. In each generation and in each species the total number of…

Populations and Evolution · Quantitative Biology 2021-01-29 Cristina Gutierrez , Carmen Minuesa

We study fixation probabilities and times as a consequence of neutral genetic drift in subdivided populations, motivated by a model of the cultural evolutionary process of language change that is described by the same mathematics as the…

Populations and Evolution · Quantitative Biology 2015-05-26 R A Blythe

We review and extend results for mutation, selection, genetic drift, and migration in a one-dimensional continuous population. The population is described by a continuous limit of the stepping stone model, which leads to the stochastic…

Populations and Evolution · Quantitative Biology 2011-04-14 K. S. Korolev , Mikkel Avlund , Oskar Hallatschek , David R. Nelson

Despite the general acknowledgment of the role of niche and fitness differences in community dynamics, species abundance has been coined as a relevant feature not just regarding niche perspectives, but also according to neutral…

Populations and Evolution · Quantitative Biology 2013-11-08 Rafael D Guariento

We perform simulations based on the Penna model for biological ageing, now with the purpose of studying sympatric speciation, that is, the division of a single species into two or more populations, reproductively isolated, but without any…

Populations and Evolution · Quantitative Biology 2007-05-23 K. Luz-Burgoa

Community assembly is studied using individual-based multispecies models. The models have stochastic population dynamics with mutation, migration, and extinction of species. Mutants appear as a result of mutation of the resident species,…

Populations and Evolution · Quantitative Biology 2010-05-18 Yohsuke Murase , Takashi Shimada , Nobuyasu Ito , Per Arne Rikvold

Moran or Wright-Fisher processes are probably the most well known model to study the evolution of a population under various effects. Our object of study will be the Simpson index which measures the level of diversity of the population, one…

Probability · Mathematics 2018-09-25 Arnaud Personne , Arnaud Guillin , Franck Jabot , Arnaud Guillin

The growth of a population divided among spatial sites, with migration between the sites, is sometimes modelled by a product of random matrices, with each diagonal elements representing the growth rate in a given time period, and…

Populations and Evolution · Quantitative Biology 2018-09-12 David Steinsaltz , Shripad Tuljapurkar

The dynamics of two competing species in a finite size community is one of the most studied problems in population genetics and community ecology. Stochastic fluctuations lead, inevitably, to the extinction of one of the species, but the…

Populations and Evolution · Quantitative Biology 2016-11-30 Matan Danino , David A. Kessler , Nadav M. Shnerb

A strong demographic Allee effect in which the expected population growth rate is negative below a certain critical population size can cause high extinction probabilities in small introduced populations. However, many species are…

Populations and Evolution · Quantitative Biology 2013-11-22 Meike J. Wittmann , Wilfried Gabriel , Dirk Metzler

Numerous experimental studies have demonstrated that the microenvironment is a key regulator influencing the proliferative and migrative potentials of species. Spatial and temporal disturbances lead to adverse and hazardous…

Populations and Evolution · Quantitative Biology 2015-10-07 Venkata. S. K. Manem , Kamran Kaveh , Mohammad Kohandel , Siv Sivaloganathan

We investigate the exploration of rugged fitness landscapes by spatially structured populations with demes on the nodes of a graph, connected by migrations. In the rare migration regime, we find that finite structures can adapt more…

Populations and Evolution · Quantitative Biology 2025-02-07 Richard Servajean , Arthur Alexandre , Anne-Florence Bitbol

The simplest model of a smart spatial redistribution of individuals is proposed. A single-species population is considered, to be composed of two discrete subpopulations inhabiting two stations; migration is a transfer between them. The…

Populations and Evolution · Quantitative Biology 2016-09-08 Michael Sadovsky

We compare and contrast the long-time dynamical properties of two individual-based models of biological coevolution. Selection occurs via multispecies, stochastic population dynamics with reproduction probabilities that depend nonlinearly…

Populations and Evolution · Quantitative Biology 2011-11-10 Per Arne Rikvold

Neuroevolution commonly uses speciation strategies to better explore the search space of neural network architectures. One such speciation strategy is through the use of islands, which are also popular in improving performance and…

Neural and Evolutionary Computing · Computer Science 2020-05-18 Zimeng Lyu , Joshua Karns , AbdElRahman ElSaid , Travis Desell

In distributed evolutionary algorithms, migration interval is used to decide migration moments. Nevertheless, migration moments predetermined by intervals cannot match the dynamic situation of evolution. In this paper, a scheme of setting…

Neural and Evolutionary Computing · Computer Science 2017-01-06 Chengjun Li , Jia Wu

We study the effect of speciation, i.e. the introduction of new species through evolution into communities, in the setting of predator-prey systems. Predator-prey dynamics is classically well modeled by Lotka-Volterra equations, also when…

Populations and Evolution · Quantitative Biology 2025-03-20 Christian Hamster , Jorik Schaap , Peter van Heijster , Joshua Dijksman

We consider the Derrida-Higgs (DH) statistical model of species formation in the case where the population is geographically distributed in discrete locations, and mating only takes place within one location. Keeping the rate of migration…

Condensed Matter · Physics 2009-10-22 F Manzo , L Peliti

Different evolutionary models are known to make disparate predictions for the success of an invading mutant in some situations. For example, some evolutionary mechanics lead to amplification of selection in structured populations, while…

Populations and Evolution · Quantitative Biology 2020-07-01 Francisco Herrerías-Azcué , Vicente Pérez-Muñuzuri , Tobias Galla
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