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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

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

Speciation is of fundamental importance to understanding the huge diversity of life on Earth. In contrast to current phenomenological models, we develop a biophysically motivated approach to study speciation involving the co-evolution of…

Populations and Evolution · Quantitative Biology 2015-05-18 Bhavin S. Khatri , Richard A. Goldstein

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

The evolutionary and ecological processes behind the origin of species are among the most fundamental problems in biology. In fact, many theoretical hypothesis on different type of speciation have been proposed. In particular, models of…

Populations and Evolution · Quantitative Biology 2018-11-20 Niccolo Anceschi , Jorge Hidalgo , Tommaso Bellini , Amos Maritan , Samir Suweis

A mechanism of sympatric speciation is presented based on the interaction-induced developmental plasticity of phenotypes. First, phenotypes of individuals with identical genotypes split into a few groups, according to instability in the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kunihiko Kaneko

Most of the DNA that composes a complex organism is non-coding and defined as junk. Even the coding part is composed of genes that affect the phenotype differently. Therefore, a random mutation has an effect on the specimen fitness that…

Populations and Evolution · Quantitative Biology 2021-07-19 Mattia Miotto , Lorenzo Monacelli

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 introduce an analytical model for population dynamics with intra-specific competition, mutation and assortative mating as basic ingredients. The set of equations that describes the time evolution of population size in a mean-field…

Populations and Evolution · Quantitative Biology 2015-06-26 V. Schwämmle , K. Luz-Burgoa , J. S. Sá Martins , S. Moss de Oliveira

The process of speciation, where an ancestral species divides in two or more new species, involves several geographic, environmental and genetic components that interact in a complex way. Understanding all these elements at once is…

Populations and Evolution · Quantitative Biology 2024-12-10 Vitor M. Marquioni , Marcus A. M. de Aguiar

Exploiting the mathematical curiosity of intransitive dice, we present a simple theoretical model for co-evolution that captures scales ranging from the genome of the individual to the system-wide emergence of species diversity. We study a…

Populations and Evolution · Quantitative Biology 2022-12-02 Julius B. Kirkegaard , Kim Sneppen

A microscopic agent dynamical model for diploid age-structured populations is used to study evolution of polymorphism and sympatric speciation. The underlying ecology is represented by a unimodal distribution of resources of some width.…

Populations and Evolution · Quantitative Biology 2015-06-26 E. Brigatti , J. S. Sa' Martins , I. Roditi

A novel mechanism for sympatric speciation that takes into account complex bio-processes within each individual organism is proposed. According to dynamical systems theory, organisms with identical genotypes can possess differentiated…

Condensed Matter · Physics 2007-05-23 Kunihiko Kaneko , Tetsuya Yomo

We investigate the role of assortative mating in speciation using the sympatric model of Derrida and Higgs. The model explores the idea that genetic differences create incompatibilities between individuals, preventing mating if the number…

Populations and Evolution · Quantitative Biology 2025-01-08 Joao U. F. Lizarraga , Flavia M. D. Marquitti , Marcus A. M. de Aguiar

If two species exhibit different nonlinear responses to a single shared resource, and if each species modifies the resource dynamics such that this favors its competitor, they may stably coexist. This coexistence mechanism, known as…

Populations and Evolution · Quantitative Biology 2015-06-16 Florian Hartig , Tamara Münkemüller , Karin Johst , Ulf Dieckmann

Large sets of genotypes give rise to the same phenotype because phenotypic expression is highly redundant. Accordingly, a population can accept mutations without altering its phenotype, as long as thegenotype mutates into another one on the…

Populations and Evolution · Quantitative Biology 2015-02-18 Susanna Manrubia , José A. Cuesta

We investigate the evolutionary dynamics of a population structured in phenotype, subjected to trait dependent selection with a linearly moving optimum and an asexual mode of reproduction. Our model consists of a non-local and non-linear…

Analysis of PDEs · Mathematics 2021-12-09 Raphaël Forien , Jimmy Garnier , Florian Patout

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

We study a general setting of neutral evolution in which the population is of finite, constant size and can have spatial structure. Mutation leads to different genetic types ("traits"), which can be discrete or continuous. Under minimal…

Populations and Evolution · Quantitative Biology 2018-11-02 Alex McAvoy , Ben Adlam , Benjamin Allen , Martin A. Nowak

Living species, ranging from bacteria to animals, exist in environmental conditions that exhibit spatial and temporal heterogeneity which requires them to adapt. Risk-spreading through spontaneous phenotypic variations is a known concept in…

Populations and Evolution · Quantitative Biology 2020-04-03 Aleksandra Ardaševa , Robert A. Gatenby , Alexander R. A. Anderson , Helen M. Byrne , Philip K. Maini , Tommaso Lorenzi
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