---
_id: '12949'
abstract:
- lang: eng
text: The classical infinitesimal model is a simple and robust model for the inheritance
of quantitative traits. In this model, a quantitative trait is expressed as the
sum of a genetic and a non-genetic (environmental) component and the genetic component
of offspring traits within a family follows a normal distribution around the average
of the parents’ trait values, and has a variance that is independent of the trait
values of the parents. Although the trait distribution across the whole population
can be far from normal, the trait distributions within families are normally distributed
with a variance-covariance matrix that is determined entirely by that in the
ancestral population and the probabilities of identity determined by the pedigree.
Moreover, conditioning on some of the trait values within the pedigree has predictable
effects on the mean and variance within and between families. In previous work,
Barton et al. (2017), we showed that when trait values are determined by the sum
of a large number of Mendelian factors, each of small effect, one can justify
the infinitesimal model as limit of Mendelian inheritance. It was also shown that
under some forms of epistasis, trait values within a family are still normally
distributed.
article_processing_charge: No
author:
- first_name: Nicholas H
full_name: Barton, Nicholas H
id: 4880FE40-F248-11E8-B48F-1D18A9856A87
last_name: Barton
orcid: 0000-0002-8548-5240
citation:
ama: Barton NH. The infinitesimal model with dominance. 2023. doi:10.15479/AT:ISTA:12949
apa: Barton, N. H. (2023). The infinitesimal model with dominance. Institute of
Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:12949
chicago: Barton, Nicholas H. “The Infinitesimal Model with Dominance.” Institute
of Science and Technology Austria, 2023. https://doi.org/10.15479/AT:ISTA:12949.
ieee: N. H. Barton, “The infinitesimal model with dominance.” Institute of Science
and Technology Austria, 2023.
ista: Barton NH. 2023. The infinitesimal model with dominance, Institute of Science
and Technology Austria, 10.15479/AT:ISTA:12949.
mla: Barton, Nicholas H. The Infinitesimal Model with Dominance. Institute
of Science and Technology Austria, 2023, doi:10.15479/AT:ISTA:12949.
short: N.H. Barton, (2023).
contributor:
- contributor_type: researcher
first_name: Amandine
last_name: Veber
- contributor_type: researcher
first_name: Alison
last_name: Etheridge
date_created: 2023-05-13T09:49:09Z
date_published: 2023-05-13T00:00:00Z
date_updated: 2025-05-28T11:57:00Z
day: '13'
ddc:
- '576'
department:
- _id: NiBa
doi: 10.15479/AT:ISTA:12949
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keyword:
- Quantitative genetics
- infinitesimal model
month: '05'
oa: 1
oa_version: Published Version
project:
- _id: bd6958e0-d553-11ed-ba76-86eba6a76c00
grant_number: '101055327'
name: Understanding the evolution of continuous genomes
publisher: Institute of Science and Technology Austria
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title: The infinitesimal model with dominance
tmp:
image: /images/cc_by.png
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name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
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type: research_data
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...