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Related papers: Sex-ratio bias induced by mutation

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Theoretically, communities at or near their equilibrium species number resist entry of new species. Such 'biotic resistance' recently has been questioned because of successful entry of alien species into diverse natural communities. Data on…

Populations and Evolution · Quantitative Biology 2010-04-15 Colleen K. Kellya , Stephen J. Blundell , Michael G. Bowler , Gordon A. Fox , Paul H. Harvey , Mark R. Lomas , F. Ian Woodward

Sexually reproducing populations with small number of individuals may go extinct by stochastic fluctuations in sex determination, causing all their members to become male or female in a generation. In this work we calculate the time to…

Populations and Evolution · Quantitative Biology 2012-10-24 David M. Schneider , Eduardo do Carmo , Yaneer Bar-Yam , Marcus A. M. de Aguiar

We examine birth--death processes with state dependent transition probabilities and at least one absorbing boundary. In evolution, this describes selection acting on two different types in a finite population where reproductive events occur…

Populations and Evolution · Quantitative Biology 2010-10-12 Philipp M. Altrock , Chaytanya S. Gokhale , Arne Traulsen

Most of the mammal species hold polygynous mating systems. The majority of the marriage systems of mankind were also polygynous over civilized history, however, socially imposed monogamy gradually prevails throughout the world. This is…

Social and Information Networks · Computer Science 2020-08-28 Ning Cai , Chen Diao , Bo-Han Yan , Jin-Hu Liu

We propose a stochastic model for evolution. Births and deaths of species occur with constant probabilities. Each new species is associated with a fitness sampled from the uniform distribution on [0,1]. Every time there is a death event…

Probability · Mathematics 2010-11-09 Herve Guiol , Fabio P. Machado , Rinaldo B. Schinazi

We present a mathematical simplification for the evolutionary dynamics of a heritable trait within a two-sex population. This trait is assumed to control the timing of sex-specific life-history events, such as the age of sexual maturity and…

Populations and Evolution · Quantitative Biology 2019-07-04 M. H. Chan , K. Hawkes , P. S. Kim

Sexual reproduction in Nature requires two sexes, which raises the question why the reproductive scheme did not evolve to have three or more sexes. Here we construct a constrained optimization model based on the communication theory to…

Populations and Evolution · Quantitative Biology 2007-05-23 Bo Deng

Clonal interference, competition between multiple co-occurring beneficial mutations, has a major role in adaptation of asexual populations. We provide a simple individual based stochastic model of clonal interference taking into account a…

Probability · Mathematics 2015-05-19 Sylvain Billiard , Charline Smadi

The adult sex ratio (ASR) is defined as the number of fertile males divided by the number of fertile females in a population. We build an ODE model with minimal age structure, in which males compete for paternities using either a…

Dynamical Systems · Mathematics 2019-07-01 D. Rose , K. Hawkes , P. S. Kim

As artificial intelligence systems (AIs) become increasingly produced by recursive self-improvement, a form of evolution may emerge, with the traits of AI systems shaped by the success of earlier AIs in designing and propagating their…

Artificial Intelligence · Computer Science 2026-04-14 Kenneth D Harris

This theory seeks to define species and to explore evolutionary forces and genetic elements in speciation and species maintenance. The theory explains how speciation and species maintenance are caused by natural selection acting on…

Populations and Evolution · Quantitative Biology 2021-12-16 Xiaoqiu Huang

Our understanding of evolution is shaped strongly by how we conceive of its fundamental causes. In the original Modern Synthesis, evolution was defined as a process of shifting the frequencies of available alleles at many loci affecting a…

Populations and Evolution · Quantitative Biology 2018-05-17 Arlin Stoltzfus

Wang et al. (2025) use statistics to argue that sex at birth is not a biological coin toss, by noticing that repeated patterns such as Male Male Male and Female Female Female occur in the Nurses Health Study more often than patterns like…

Applications · Statistics 2025-08-15 Judith J. Lok , Mireille E. Schnitzer

This paper develops a simplified set of models describing asexual and sexual replication in unicel- lular diploid organisms. The models assume organisms whose genomes consist of two chromosomes, where each chromosome is assumed to be…

Populations and Evolution · Quantitative Biology 2007-09-11 Emmanuel Tannenbaum

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

Why sex evolved and it prevails in nature remains one of the great puzzles of evolution. Most biologists would explain that it promotes genetic variability, however this explanation suffers from several difficulties. What advantages might…

Statistical Mechanics · Physics 2007-05-23 A. O. Sousa

Fisher developed his geometric model to support the micro-mutationalism hypothesis which claims that small mutations are more likely to be beneficial and therefore to contribute to evolution and adaptation. While others have provided a…

Populations and Evolution · Quantitative Biology 2015-12-02 Yoav Ram , Lilach Hadany

Foraging is a central decision-making behavior performed by all animals, essential to garnishing enough energy for an organism to survive. Similarly, mating is crucial for evolutionary continuity and offspring production. Mate choice is one…

Populations and Evolution · Quantitative Biology 2026-04-02 Daniel T Bernstein , Ahmed El Hady

We consider a stochastic individual-based model of adaptive dynamics for an asexually reproducing population with mutation, with linear birth and death rates, as well as a density-dependent competition. To depict repeating changes of the…

Populations and Evolution · Quantitative Biology 2025-05-28 Manuel Esser , Anna Kraut

Biological evolution depends on the passing down to subsequent generations of genetic information encoding beneficial traits, and on the removal of unfit individuals by a selection mechanism. However, selection acts on phenotypes, and is…

Populations and Evolution · Quantitative Biology 2026-05-01 Bastien Mallein , Francesco Paparella , Emmanuel Schertzer , Zsófia Talyigás