The infinitesimal model: definition, derivation, and implications
From MaRDI portal
Publication:1746110
DOI10.1016/j.tpb.2017.06.001zbMath1394.92082OpenAlexW2735155748WikidataQ39435977 ScholiaQ39435977MaRDI QIDQ1746110
Amandine Véber, Nick H. Barton, Alison M. Etheridge
Publication date: 24 April 2018
Published in: Theoretical Population Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.tpb.2017.06.001
Applications of statistics to biology and medical sciences; meta analysis (62P10) Problems related to evolution (92D15) Genetics and epigenetics (92D10)
Related Items (20)
Dynamics of Dirac concentrations in the evolution of quantitative alleles with sexual reproduction ⋮ Assortative mating on complex traits revisited: double first cousins and the X-chromosome ⋮ Ancestral lineages in mutation selection equilibria with moving optimum ⋮ Does assortative mating lead to a polymorphic population? a toy model justification ⋮ Multilocus population-genetic theory ⋮ Drivers of diversity in individual life courses: sensitivity of the population entropy of a Markov chain ⋮ Optimization of sampling designs for pedigrees and association studies ⋮ Ergodicity of the Fisher infinitesimal model with quadratic selection ⋮ Adaptation of a quantitative trait to a changing environment: new analytical insights on the asexual and infinitesimal sexual models ⋮ The best of both worlds: combining population genetic and quantitative genetic models ⋮ The Cauchy problem for the infinitesimal model in the regime of small variance ⋮ Commentary: ``Fisher's infinitesimal model: a story for the ages ⋮ A Gaussian particle distribution for branching Brownian motion with an inhomogeneous branching rate ⋮ A white noise approach to evolutionary ecology ⋮ Establishment in a new habitat by polygenic adaptation ⋮ A seasonal hybrid model for the evolution of flowering onset ⋮ Bayesian inference of natural selection from spatiotemporal phenotypic data ⋮ Asymptotic analysis of a quantitative genetics model with nonlinear integral operator ⋮ Front Propagation of a Sexual Population with Evolution of Dispersion: A Formal Analysis ⋮ Evolutionary dynamics of complex traits in sexual populations in a heterogeneous environment: how normal?
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantitative de Jong theorems in any dimension
- On normal approximations of distributions in terms of dependency graphs
- A central limit theorem for generalized multilinear forms
- A new method of normal approximation
- Central limit theorems for pedigrees
- Linkage disequilibrium and the infinitesimal limit
- On normal approximation rates for certain sums of dependent random variables
- Karl pearson's mathematization of inheritance: From ancestral heredity to Mendelian genetics (1895–1909)
- Accounting for Mutation Effects in the Additive Genetic Variance-Covariance Matrix and Its Inverse
- Rates of change in quantitative traits from fixation of new mutations.
- Evolution of continuous variation: direct approach through joint distribution of genotypes and phenotypes.
- An Algorithm for the Machine Calculation of Complex Fourier Series
- A stochastic model concerning the maintenance of genetic variability in quantitative characters.
- The stability of symmetric solutions to polygenic models
This page was built for publication: The infinitesimal model: definition, derivation, and implications