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Related papers: Monte carlo simulations of parapatric speciation

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A classical view of speciation is that reproductive isolation arises as a by-product of genetic divergence. Here, individual-based simulations are used to evaluate whether the mechanisms implied by this view may result in rapid speciation…

adap-org · Physics 2007-05-23 Sergey Gavrilets , Hai Li , Michael D. Vose

Using a lattice model based on Monte Carlo simulations, we study the role of the reproduction pattern on the fate of an evolving population. Each individual is under the selection pressure from the environment and random mutations. The…

Statistical Mechanics · Physics 2009-11-10 Mingfeng He , Hongbo Ruan , Changliang Yu , Lei Yao

Mechanisms leading to speciation are a major focus in evolutionary biology. In this paper, we present and study a stochastic model of population where individuals, with type a or A, are equivalent from ecological, demographical and spatial…

Populations and Evolution · Quantitative Biology 2017-04-20 Camille Coron , Manon Costa , Hélène Leman , Charline Smadi

When a population inhabits an inhomogeneous environment, the fitness value of traits can vary with the position in the environment. Gene flow caused by random mating can nevertheless prevent that a sexually reproducing population splits…

Populations and Evolution · Quantitative Biology 2011-05-05 Susanne Schindler , Olaf Breidbach , Juergen Jost

We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

Using Monte Carlo model of biological evolution we have discovered that populations can switch between two different strategies of their genomes' evolution; Darwinian purifying selection and complementing the haplotypes. The first one is…

Populations and Evolution · Quantitative Biology 2009-11-13 Marta Zawierta , Wojciech Waga , Dorota Mackiewicz , Przemyslaw Biecek , Stanislaw Cebrat

We have simulated the evolution of age structured populations whose individuals represented by their diploid genomes were distributed on a square lattice. The environmental conditions on the whole territory changed simultaneously in the…

Populations and Evolution · Quantitative Biology 2009-11-05 Wojciech Waga , Marta Zawierta , Stanislaw Cebrat

Although geographic isolation has been shown to play a key role in promoting reproductive isolation, it is now believed that speciation can also happen in sympatry and with considerable gene flow. Here we present a model of sympatric…

Populations and Evolution · Quantitative Biology 2020-05-20 Rodrigo A. Caetano , Sergio Sanchez , Carolina L. N. Costa , Marcus A. M. de Aguiar

Using a weak migration and weak mutation approximation, I study the average waiting time to and the average duration of parapatric speciation. The description of reproductive isolation used is based on the classical Dobzhansky model and its…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Sergey Gavrilets

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

A microscopic model is developed, within the frame of the theory of quantitative traits, to study both numerically and analytically the combined effect of competition and assortativity on the sympatric speciation process, i.e. speciation in…

Populations and Evolution · Quantitative Biology 2007-05-23 Franco Bagnoli , Carlo Guardiani

We consider two versions of stochastic population models with mutation and selection. The first approach relies on a multitype branching process; here, individuals reproduce and change type (i.e., mutate) independently of each other,…

Populations and Evolution · Quantitative Biology 2009-02-19 E. Baake , R. Bialowons

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

We study the population profile in a simple discrete time model of population dynamics. Our model, which is closely related to certain ``bit-string'' models of evolution, incorporates competition for resources via a population dependent…

Statistical Mechanics · Physics 2009-10-31 Martin Howard , R. K. P. Zia

Evolutionary branching is analysed in a stochastic, individual-based population model under mutation and selection. In such models, the common assumption is that individual reproduction and life career are characterised by values of a…

Populations and Evolution · Quantitative Biology 2025-10-01 S. Sagitov , B. Mehlig , P. Jagers , V. Vatutin

Neutral speciation mechanisms based on isolation by distance and sexual selection, termed topopatric, have recently been shown to describe the observed patterns of abundance distributions and species-area relationships. Previous works have…

Populations and Evolution · Quantitative Biology 2012-10-24 Elizabeth M. Baptestini , Marcus A. M. de Aguiar , Yaneer Bar-Yam

We study a family of selection-mutation models of a sexual population structured by a phenotypical trait. The main feature of these models is the asymmetric trait heredity or fecundity between the parents : we assume that each individual…

Analysis of PDEs · Mathematics 2022-04-11 Benoît Perthame , Martin Strugarek , Cécile Taing

We describe a simple model of evolution which incorporates the branching and extinction of species lines, and also includes abiotic influences. A first principles approach is taken in which the probability for speciation and extinction are…

adap-org · Physics 2008-02-03 D. A. Head , G. J. Rodgers

Both evolution and ecology have long been concerned with the impact of variable environmental conditions on observed levels of genetic diversity within and between species. We model the evolution of a quantitative trait under selection that…

Populations and Evolution · Quantitative Biology 2014-11-17 Hannes Svardal , Claus Rueffler , Joachim Hermisson

Patterns of biodiversity predicted by the neutral theory rely on a simple phenomenological model of speciation. To further investigate the effect of speciation on neutral biodiversity, we analyze a spatially-explicit neutral model based on…

Populations and Evolution · Quantitative Biology 2012-07-10 Philippe Desjardins-Proulx , Dominique Gravel
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