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Population genetic studies have found evidence for dramatic population growth in recent human history. It is unclear how this recent population growth, combined with the effects of negative natural selection, has affected patterns of…

Populations and Evolution · Quantitative Biology 2014-02-11 Kirk E. Lohmueller

We consider a hierarchically structured population in which the amount of resources an individual has access to is affected by individuals that are larger, and that the intake of resources by an individual only affects directly the growth…

Analysis of PDEs · Mathematics 2024-07-15 Carles Barril , Àngel Calsina , József Z. Farkas

We study a density-dependent Markov jump process describing a population where each individual is characterized by a type, and reproduces at rates depending both on its type and on the population type distribution. We are interested in the…

Probability · Mathematics 2026-02-26 Madeleine Kubasch

We introduce a broad class of spatial models to describe how spatially heterogeneous populations live, die, and reproduce. Individuals are represented by points of a point measure, whose birth and death rates can depend both on spatial…

Probability · Mathematics 2024-01-02 Alison M. Etheridge , Thomas G. Kurtz , Ian Letter , Peter L. Ralph , Terence Tsui Ho Lung

1. Citizen and community-science (CS) datasets have great potential for estimating interannual patterns of population change given the large volumes of data collected globally every year. Yet, the flexible protocols that enable many CS…

One of the key difficulties in using estimation-of-distribution algorithms is choosing the population size(s) appropriately: Too small values lead to genetic drift, which can cause enormous difficulties. In the regime with no genetic drift,…

Neural and Evolutionary Computing · Computer Science 2023-09-11 Benjamin Doerr , Weijie Zheng

Understanding the population structure and patterns of gene flow within species is of fundamental importance to the study of evolution. In the fields of population and evolutionary genetics, measures of genetic differentiation are commonly…

Populations and Evolution · Quantitative Biology 2016-09-27 Lisa Sundqvist , Kevin Keenan , Martin Zackrisson , Paulo Prodöhl , David Kleinhans

We propose in this article a brief description of the work, over almost a decade, resulting from a collaboration between mathematicians and biologists from four different research laboratories, identifiable as the co-authors of the articles…

Populations and Evolution · Quantitative Biology 2023-05-30 Olivier Mazet , Camille Noûs

Effective population size characterizes the genetic variability in a population and is a parameter of paramount importance in population genetics. Kingman's coalescent process enables inference of past population dynamics directly from…

Methodology · Statistics 2016-01-20 Mandev S. Gill , Philippe Lemey , Shannon N. Bennett , Roman Biek , Marc A. Suchard

This survey focuses on the most important aspects of the mathematical theory of population genetic models of selection and migration between discrete niches. Such models are most appropriate if the dispersal distance is short compared to…

Populations and Evolution · Quantitative Biology 2019-12-13 Reinhard Bürger

We examine genetic statistics used in the study of structured populations. In a 1999 paper, Wakeley observed that the coalescent process associated with the finite island model can be decomposed into a scattering phase and a collecting…

Populations and Evolution · Quantitative Biology 2008-11-11 Sivan Leviyang

Knowledge of population distribution is critical for building infrastructure, distributing resources, and monitoring the progress of sustainable development goals. Although censuses can provide this information, they are typically conducted…

Machine Learning · Computer Science 2021-10-07 Isaac Neal , Sohan Seth , Gary Watmough , Mamadou S. Diallo

Infinite population models are important tools for studying population dynamics of evolutionary algorithms. They describe how the distributions of populations change between consecutive generations. In general, infinite population models…

Neural and Evolutionary Computing · Computer Science 2015-09-29 Bo Song , Victor O. K. Li

We consider two versions of stochastic population models with mutation and selection. The first approach relies on a multitype branching process; here, individuals reproduce and change type (i.e., mutate) independently of each other,…

Populations and Evolution · Quantitative Biology 2009-02-19 E. Baake , R. Bialowons

In population genetics, extant samples are usually used for inference of past population genetic forces. With the Kingman coalescent and the backward diffusion equation, inference of the marginal likelihood proceeds from an extant sample…

Populations and Evolution · Quantitative Biology 2020-04-03 Claus Vogl , Sandra Peer

In this paper we study a class of stochastic individual-based models that describe the evolution of haploid populations where each individual is characterised by a phenotype and a genotype. The phenotype of an individual determines its…

Probability · Mathematics 2017-08-07 Martina Baar , Anton Bovier

Ignoring the differences between countries, human reproductive and dispersal behaviors can be described by some standardized models, so whether there is a universal law of population growth hidden in the abundant and unstructured data from…

Physics and Society · Physics 2024-02-08 Jiajun Ma , Qinghua Chen , Xiaosong Chen , Jingfang Fan , Xiaomeng Li , Yi Shi

Accurate inference on population dynamics, such as migration and changes in population size, is essential for policymaking, resource allocation and demographic research. Traditional censuses are expensive, infrequent and not timely, leading…

Applications · Statistics 2026-03-27 Lucy Y Brown , Eleni Matechou , Bruno Santos , Eleonora Mussino

Recent methods have been developed to map single-cell lineage statistics to population growth. Because population growth selects for exponentially rare phenotypes, these methods inherently depend on sampling large deviations from finite…

Statistical Mechanics · Physics 2025-01-16 Trevor GrandPre , Ethan Levien , Ariel Amir

We describe the simulation method of modelling the population evolution using Monte Carlo based on the Penna model. Individuals in the populations are represented by their diploid genomes. Genes expressed after the minimum reproduction age…

Genomics · Quantitative Biology 2009-01-13 Agnieszka Laszkiewicz , Przemyslaw Biecek , Katarzyna Bonkowska , Stanislaw Cebrat