Thematic Month Week 2: Mathematical Models in Evolutionary Biology / Mois thématique Semaine 2 : Modèles mathématiques en biologie de l'évolution

Collection Thematic Month Week 2: Mathematical Models in Evolutionary Biology / Mois thématique Semaine 2 : Modèles mathématiques en biologie de l'évolution

Organizer(s) Champagnat, Nicolas ; Coville, Jérôme ; Gomulkiewicz, Richard ; Hamel, Francois ; Roques, Lionel

Date(s) 10/02/2020 - 14/02/2020

linked URL https://conferences.cirm-math.fr/2302.html

00:00:00 / 00:00:00

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Applying the infinitesimal model

By Nicholas H. Barton, Alison Etheridge

The infinitesimal model is based on the assumption that, conditional on the pedigree, the joint distribution of trait values is multivariate normal, then, selecting parents does not alter the variance amongst offspring. We explain how the infinitesimal model extends to include dominance as well as epistasis. Then, the evolution of a population depends on just a few quantities, which define the components of genetic variance and the inbreeding depression. In practice, the main difficulty in applying the infinitesimal model in the presence of dominance is that one must calculate the probabilities of identity by descent amongst up to four genes, which means that very many identity coefficients must be traced. We show how these coefficients can be calculated and approximated, allowing the infinitesimal model to be applied to help understand the evolutionary consequences of inbreeding depression.

Information about the video

Date of recording 10/02/2020
Date of publication 02/03/2020
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19605003
Cite this video Barton, Nicholas H.; Etheridge, Alison (10/02/2020). Applying the infinitesimal model. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19605003
URL https://dx.doi.org/10.24350/CIRM.V.19605003

Domain(s)

Probability

Bibliography

BARTON, Nicholas H., ETHERIDGE, Alison M., et VÉBER, Amandine. The infinitesimal model: Definition, derivation, and implications. Theoretical population biology, 2017, vol. 118, p. 50-73. - https://doi.org/10.1016/j.tpb.2017.06.001

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2302/Slides/cirm2020_Etheridge.pdf

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