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 [,] …
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
An increasing number of empirical studies aim to quantify individual variation in
demographic parameters because these patterns are key for evolutionary and ecological …
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. 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 …
'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 …
communities are affected by similar processes, such as birth, death and immigration. The …
The infinitesimal model
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 …
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 …
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 …
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 …
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 …
population genetics provides a wealth of mathematical challenges. Here we illustrate this by …