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This paper develops mathematical models describing the evolutionary dynamics of both asexually and sexually reproducing populations of diploid unicellular organisms. We consider two forms of genome organization. In one case, we assume that…

Populations and Evolution · Quantitative Biology 2009-07-17 Maya Kleiman , Emmanuel Tannenbaum

This paper develops simplified mathematical models describing the mutation-selection balance for the asexual and sexual replication pathways in {\it Saccharomyces cerevisiae}. We assume diploid genomes consisting of two chromosomes, and we…

Populations and Evolution · Quantitative Biology 2007-12-21 Emmanuel Tannenbaum

Many life-history traits, like the age at maturity or adult longevity, are important determinants of the generation time. For instance, semelparous species whose adults reproduce once and die have shorter generation times than iteroparous…

Populations and Evolution · Quantitative Biology 2016-04-22 Mélissa Verin , Salomé Bourg , Frédéric Menu , Etienne Rajon

This study explores the impact of gender differences in preferences and productivity in home production on the time allocation in married couples, particularly in relation to childcare responsibilities. Using aggregated data from Japan, we…

General Economics · Economics 2024-07-26 Hirokuni Iiboshi , Daikuke Ozaki , Yui Yoshii

We study the evolution of offspring sex ratios using a game-theoretical model in which the decision to have another child depends on the sex of the previous child. Motivated by higher male infant mortality and the tendency to try again…

Physics and Society · Physics 2025-07-16 Nahyeon Lee , Ulf Dieckmann , Hyeong-Chai Jeong

Suppose that females choose males based on attributes that do not signal any genetic quality that is not related to the choice itself. Can being choosy confer selective advantage in this situation? We introduce correlated strategies, which…

Populations and Evolution · Quantitative Biology 2023-09-28 Daniil Ryabko , Angustias Vaca , Prudencio Pazoca

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

Low total fertility rates throughout the world have lead to concerns about economic growth, military security, international political power, environment impacts, and quality of life. Overall total fertility rates of today's societies are…

Physics and Society · Physics 2025-11-04 John C. Stevenson

The provision of intergenerational care, via the Grandmother Hypothesis, has been implicated in the evolution of post-fertile longevity, particularly in humans. However, if grandmothering does provide fitness benefits, a key question is why…

Populations and Evolution · Quantitative Biology 2017-05-01 Jared M. Field , Michael B. Bonsall

We compare the speed with which a sexual, respectively an asexual, population is able to respond to a biased selective pressure. Our model focuses on the Weismann hypothesis that the extra variation caused by crossing-over and recombination…

Condensed Matter · Physics 2007-05-23 Kerstin Holmstrom , Henrik Jeldtoft Jensen

The concept of fitness is central to evolution, but it quantifies only the expected number of offspring an individual will produce. The actual number of offspring is also subject to noise, arising from environmental or demographic…

Populations and Evolution · Quantitative Biology 2022-09-07 Guocheng Wang , Qi Su , Long Wang , Joshua B. Plotkin

A new critical effect is predicted in population dispersal. It is based on the fact that a trade-off between the advantages of mobility and the cost of mobility breaks with a significant deterioration in living conditions. The recently…

Populations and Evolution · Quantitative Biology 2019-03-01 Alexander N. Gorban , Nurdan Çabukoǧlu

Sexual reproduction is not always synonymous with the existence of two morphologically different sexes; isogamous species produce sex cells of equal size, typically falling into multiple distinct self-incompatible classes, termed mating…

Populations and Evolution · Quantitative Biology 2020-05-06 Yvonne Krumbeck , George W. A. Constable , Tim Rogers

We use a two-sex partial differential equation (PDE) model based on the Grandmother Hypothesis. We build on an earlier model by Kim et al. [27] by allowing for evolution in both longevity and age at last birth, and also assuming that…

Populations and Evolution · Quantitative Biology 2019-07-01 Matthew H. Chan , Kristen Hawkes , Peter S. Kim

A fundamental issue discussed in evolutionary biology is the transition from unicellular to multicellular organisms. Here we develop non-robust models provided in [1] and attempt to get robust models investigated how differentiation of…

Populations and Evolution · Quantitative Biology 2015-12-15 Denis Tverskoy

Sexual selection theory models evolution of sexual signals and preferences using simple life histories. However, life-history models predict that males benefit from increasing sexual investment approaching old age, producing age-dependent…

Populations and Evolution · Quantitative Biology 2013-12-16 Joel James Adamson

In unicellular organisms such as bacteria and in most viruses, mutations mainly occur during reproduction. Thus, genotypes with a high birth rate should have a higher mutation rate. However, standard models of asexual adaptation such as the…

Analysis of PDEs · Mathematics 2021-11-10 Florian Patout , R Forien , M Alfaro , J Papaïx , L Roques

We study the association between physical appearance and family income using a novel data which has 3-dimensional body scans to mitigate the issue of reporting errors and measurement errors observed in most previous studies. We apply…

Econometrics · Economics 2023-06-22 Suyong Song , Stephen S. Baek

How to define and use the concept of inclusive fitness is a contentious topic in evolutionary theory. Inclusive fitness can be used to calculate selection on a focal gene, but it is also applied to whole organisms. Individuals are then…

Populations and Evolution · Quantitative Biology 2019-06-11 Lutz Fromhage , Michael D Jennions

We model a spatially detailed, two-sex population dynamics, to study the cost of ecological restoration. We assume that cost is proportional to the number of individuals introduced into a large habitat. We treat dispersal as homogeneous…

Populations and Evolution · Quantitative Biology 2014-03-20 F. Molnar , C. Caragine , T. Caraco , G. Korniss