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Repetitions within a given genealogical tree provides some information about the degree of consanguineity of a population. They can be analyzed with techniques usually employed in statistical physics when dealing with fixed point…

Statistical Mechanics · Physics 2009-10-31 Paolo De Los Rios , Oscar Pla

Opinion formation has been gaining increasing research interests recently, and various models have been proposed. These models, however, have their limitations, among which noticeably include (i) it is generally assumed that adjacent nodes…

Physics and Society · Physics 2017-03-08 Yi Yu , Gaoxi Xiao

We present a model for evolving population which maintains genetic polymorphism. By introducing random mutation in the model population at a constant rate, we observe that the population does not become extinct but survives, keeping…

Soft Condensed Matter · Physics 2009-10-31 H. Y. Lee , D. Kim , M. Y. Choi

We propose a class of evolutionary models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those models, a new genome is born according to the breeding process, and then a genome is…

Neural and Evolutionary Computing · Computer Science 2020-08-25 Jüri Lember , Chris Watkins

We consider a neutral haploid population whose generations are not overlapping and whose size is large and constantly of $N$ individuals. Any generation is replaced by a new one and any individual has a single parent. We do not choose the…

Populations and Evolution · Quantitative Biology 2009-11-11 Maurizio Serva

This paper is concerned with the evolution of haploid organisms that reproduce asexually. In a seminal piece of work, Eigen and coauthors proposed the quasispecies model in an attempt to understand such an evolutionary process. Their work…

Populations and Evolution · Quantitative Biology 2012-03-07 Narendra M. Dixit , Piyush Srivastava , Nisheeth K. Vishnoi

The benefit of sexual recombination is one of the most fundamental questions both in population genetics and evolutionary computation. It is widely believed that recombination helps solving difficult optimization problems. We present the…

Neural and Evolutionary Computing · Computer Science 2015-02-11 Tobias Friedrich , Timo Kötzing , Martin Krejca , Andrew M. Sutton

It has recently been suggested that the fundamental haploid-diploid cycle of eukaryotic sex exploits a rudimentary form of the Baldwin effect. Thereafter the other associated phenomena can be explained as evolution tuning the amount and…

Populations and Evolution · Quantitative Biology 2020-03-17 Larry Bull

An asexual set of primitive bacteria is simulated with a bit-string Penna model with a Fermi function for survival. A recent hypothesis by Jan, Stauffer and Moseley on the evolution of sex from asexual cells as a strategy for trying to…

Soft Condensed Matter · Physics 2009-10-31 Bora Orcal , Erkan Tuzel , Volkan Sevim , Naeem Jan , Ayse Erzan

The probability of the survival of the population of individuals of both sexes of given mature age, procreation rate and structure stability has been searched in the numerical experiment. The populations with long period of reproduction and…

Condensed Matter · Physics 2007-05-23 Kazimierz Pater

A host-parasite model is considered for a population of cells that can be of two types, A or B, and exhibits unilateral reproduction: while a B-cell always splits into two cells of the same type, the two daughter cells of an A-cell can be…

Probability · Mathematics 2013-02-06 Gerold Alsmeyer , Sören Gröttrup

When beneficial mutations are rare, they accumulate by a series of selective sweeps. But when they are common, many beneficial mutations will occur before any can fix, so there will be many different mutant lineages in the population…

Populations and Evolution · Quantitative Biology 2007-05-23 Michael M. Desai , Daniel S. Fisher

We present a model for biological aging that considers the number of individuals whose (inherited) genetic charge determines the maximum age for death: each individual may die before that age due to some external factor, but never after…

adap-org · Physics 2008-02-03 R. M. C. de Almeida , S. Moss de Oliveira , T. J. P. Penna

We succeeded in obtaining exact results of the bit-string model of biological aging for populations whose individuals breed only once. These results are in excellent agreement with those obtained through computer simulations. In addition,…

adap-org · Physics 2009-10-28 T. J. P. Penna , S. Moss de Oliveira

We consider populations structured by a phenotypic trait and a space variable, in a non-homogeneous environment. In the case of sex- ual populations, we are able to derive models close to existing mod- els in theoretical biology, from a…

Analysis of PDEs · Mathematics 2011-05-11 Sepideh Mirrahimi , Gael Raoul

Predicting the adaptation of populations to a changing environment is crucial to assess the impact of human activities on biodiversity. Many theoretical studies have tackled this issue by modeling the evolution of quantitative traits…

Analysis of PDEs · Mathematics 2022-06-28 Jimmy Garnier , O Cotto , T Bourgeron , E Bouin , T Lepoutre , O Ronce , V Calvez

In biology and ecology, individuals or communities of individuals living in unpredictable environments often alternate between different evolutionary strategies to spread and reduce risks. Such behavior is commonly referred to as…

Populations and Evolution · Quantitative Biology 2015-03-11 Jorge Hidalgo , Simone Pigolotti , Miguel A. Munoz

Many biological populations exhibit diversity in their strategy for survival and reproduction in a given environment, and microbes are an example. We explore the fate of different strategies under sustained environmental change by…

Populations and Evolution · Quantitative Biology 2025-09-24 Ruixi Huang , David Waxman

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 represent a process of learning by using bit strings, where 1-bits represent the knowledge acquired by individuals. Two ways of learning are considered: individual learning by trial-and-error; and social learning by copying knowledge…

Populations and Evolution · Quantitative Biology 2007-05-23 Armando Ticona Bustillos , Paulo Murilo C. de Oliveira