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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

Symmetry arguments are frequently used -- often implicitly -- in mathematical modeling of natural selection. Symmetry simplifies the analysis of models and reduces the number of distinct population states to be considered. Here, I introduce…

Populations and Evolution · Quantitative Biology 2023-07-14 Benjamin Allen

Modes of speciation have been the subject of a century's debate. Traditionally, most speciations are believed to be caused by spatial separation of populations (allopatry). Recent observations (Meyer 1990, Schliewen 1994, Schliewen 2001,…

Condensed Matter · Physics 2007-05-23 Martin Rost , Michael Lässig

Using as a narrative theme the example of Darwin's finches, a microscopic agent-based model is introduces to study sympatric speciation as a result of competition for resources in the same ecological niche. Varying competition among…

Populations and Evolution · Quantitative Biology 2025-11-13 Franco Bagnoli , Tommaso Matteuzzi

In a geographically distributed population, assortative clustering plays an important role in evolution by modifying local environments. To examine its effects in a linear habitat, we consider a one-dimensional grid of cells, where each…

Populations and Evolution · Quantitative Biology 2021-03-16 Sunhee Chae , Nahyeon Lee , Seung Ki Baek , Hyeong-Chai Jeong

Speciation is fundamental to the huge diversity of life on Earth. Evidence suggests reproductive isolation arises most commonly in allopatry with a higher speciation rate in small populations. Current theory does not address this dependence…

Populations and Evolution · Quantitative Biology 2015-03-27 Bhavin S. Khatri , Richard A. Goldstein

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

This paper deals with a model of sympatric speciation, that is, speciation in the absence of geographical separation, originally proposed by U. Dieckmann and M. Doebeli in 1999. We modify their original model to obtain a Fleming--Viot type…

Probability · Mathematics 2011-11-10 Feng Yu

More and more evidence shows that mating preference is a mechanism that may lead to a reproductive isolation event. In this paper, a haploid population living on two patches linked by migration is considered. Individuals are ecologically…

Populations and Evolution · Quantitative Biology 2018-05-08 Helene Leman

The metaphor of holey adaptive landscapes provides a pictorial representation of the process of speciation as a consequence of genetic divergence. In this metaphor, biological populations diverge along connected clusters of well-fit…

adap-org · Physics 2007-05-23 Sergey Gavrilets

In genetics the Moran model describes the neutral evolution of a bi-allelic gene in a population of haploid individuals subjected to mutations. We show in this paper that this model can be mapped into an influence dynamical process on…

Populations and Evolution · Quantitative Biology 2015-03-17 Marcus A. M. de Aguiar , Yaneer Bar-Yam

The ways in which natural selection can allow the proliferation of cooperative behavior have long been seen as a central problem in evolutionary biology. Most of the literature has focused on interactions between pairs of individuals and on…

Populations and Evolution · Quantitative Biology 2013-10-01 Roberto H. Schonmann , Renato Vicente , Nestor Caticha

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

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

We model a social-encounter network where linked nodes match for reproduction in a manner depending probabilistically on each node`s attractiveness. The developed model reveals that increasing either the network`s mean degree or the…

Physics and Society · Physics 2017-06-22 S. Dipple , T. Jia , T. Caraco , G. Korniss , B. K. Szymanski

A square lattice is introduced into the Penna model for biological aging in order to study the evolution of diploid sexual populations under certain conditions when one single locus in the individual's genome is considered as identifier of…

Populations and Evolution · Quantitative Biology 2009-11-10 A. O. Sousa

Cooperation is ubiquitous across all levels of biological systems ranging from microbial communities to human societies. It, however, seemingly contradicts the evolutionary theory, since cooperators are exploited by free-riders and thus are…

Populations and Evolution · Quantitative Biology 2019-09-23 Yunming Xiao , Bin Wu

Cichlid fishes are one of the best model system for the study of evolution of the species. Inspired by them, in this paper we simulated the splitting of a single species into two separate ones via random mutations, with both populations…

Populations and Evolution · Quantitative Biology 2007-08-24 K. Luz-Burgoa , S. Moss de Oliveira , J. S. Sa Martins

Sweepstakes reproduction may be generated by chance matching of reproduction with favorable environmental conditions. Gene genealogies generated by sweepstakes reproduction are in the domain of attraction of multiple-merger coalescents…

Probability · Mathematics 2026-01-15 Bjarki Eldon

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