On the mathematics of populations

MGM Gomes - bioRxiv, 2019 - biorxiv.org
Selection acting on unobserved heterogeneity is a fundamental issue in the mathematics of
populations. As recognised in disciplines as diverse as demography [,,], ecology [,] …

Quantifying fixed individual heterogeneity in demographic parameters: Performance of correlated random effects for Bernoulli variables

R Fay, M Authier, S Hamel, S Jenouvrier… - Methods in Ecology …, 2022 - Wiley Online Library
An increasing number of empirical studies aim to quantify individual variation in
demographic parameters because these patterns are key for evolutionary and ecological …

Demystifying individual heterogeneity

AB Forsythe, T Day, WA Nelson - Ecology Letters, 2021 - Wiley Online Library
Among‐individual variation in vital rates, such as mortality and birth rates, exists in nearly all
populations. Recent studies suggest that this individual heterogeneity produces substantial …

Populations in statistical genetic modelling and inference

DJ Lawson - Population in the human sciences: Concepts …, 2015 - books.google.com
Variation within biological species has long been described by grouping individuals into
'populations'. However, it is not clear to what degree populations are real biological entities …

On the proportional abundance of species: Integrating population genetics and community ecology

PA Marquet, G Espinoza, SR Abades, A Ganz… - Scientific reports, 2017 - nature.com
The frequency of genes in interconnected populations and of species in interconnected
communities are affected by similar processes, such as birth, death and immigration. The …

The infinitesimal model

NH Barton, AM Etheridge, A Véber - BioRxiv, 2016 - biorxiv.org
Our focus here is on the infinitesimal model. In this model, one or several quantitative traits
are described as the sum of a genetic and a non-genetic component, the first being …

[HTML][HTML] The infinitesimal model: Definition, derivation, and implications

NH Barton, AM Etheridge, A Véber - Theoretical population biology, 2017 - Elsevier
Our focus here is on the infinitesimal model. In this model, one or several quantitative traits
are described as the sum of a genetic and a non-genetic component, the first being …

Mathematical models for population dynamics: Randomness versus determinism

J Bertoin - 2016 - hal.science
Mathematical models are used more and more frequently in Life Sciences. Those models
may be deterministic, or stochastic. We present some classical models for population …

Commentary: Fisher's infinitesimal model: A story for the ages

M Turelli - Theoretical population biology, 2017 - Elsevier
Mendel (1866) suggested that if many heritable “factors” contribute to a trait, near-
continuous variation could result. Fisher (1918) clarified the connection between Mendelian …

Natural selection in spatially structured populations

A Etheridge - 2022 - content.ems.press
Mathematical models play a fundamental role in theoretical population genetics and, in turn,
population genetics provides a wealth of mathematical challenges. Here we illustrate this by …