2022 - T1 - WS3 - Mathematical models in ecology and evolution

Collection 2022 - T1 - WS3 - Mathematical models in ecology and evolution

Organizer(s) Calvez, Vincent ; Débarre, Florence ; Garnier, Jimmy ; Véber, Amandine

Date(s) 21/03/2022 - 25/03/2022

linked URL https://matmodecoevo-22.sciencesconf.org/

00:00:00 / 00:00:00

13 25

Equilibrium allele frequencies in terms of invasion and fixation conditions

By Michael Scott

Joint work with Matthew Osmond.

Genetic variation can be maintained by balancing selection. This requires that an allele 'invades' (increases in frequency when rare) but does not fix (declines near 100% frequency). Balancing selection pushes these alleles towards an intermediate 'equilibrium' frequency. Here, we use a general formulation to show that the equilibrium frequency can often be written as a simple ratio of the conditions for invasion and fixation. This relationship requires that marginal fitness increases linearly with allele frequency, a common assumption in population genetic models. We therefore connect many models in the same framework and provide a concise and interpretable expression for equilibrium frequency.

Information about the video

Date of recording 24/03/2022
Date of publication 24/03/2022
Institution IHP
Language English
Audience Researchers
Director(s) Mandarine Audiovisuel
Format MP4

Citation data

DOI 10.57987/IHP.2022.T1.WS3.013
Cite this video Scott, Michael (24/03/2022). Equilibrium allele frequencies in terms of invasion and fixation conditions. IHP. Audiovisual resource. DOI: 10.57987/IHP.2022.T1.WS3.013
URL https://dx.doi.org/10.57987/IHP.2022.T1.WS3.013

Domain(s)

Quantitative Biology

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