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Some effects of selection when there is partial full-sib mating

¹Department of Statistics, Iowa State University, Ames 50011.

|January 1, 1995

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This study models allele frequency changes, accounting for viability selection and sibling mating. It introduces a new model that includes correlated allele frequencies due to mating, offering a more accurate representation of evolution.

Area of Science:

Population genetics
Evolutionary biology
Quantitative genetics

Background:

Allele frequencies change due to selection and mating patterns.
Previous models often overlook the impact of correlated allele frequencies within generations.

Purpose of the Study:

To derive an expression for allele frequency change that incorporates both viability selection and correlated mating.
To provide a more accurate model for allele frequency dynamics in populations with partial inbreeding.

Main Methods:

Mathematical modeling of allele frequency changes.
Incorporation of selection acting between zygote formation and adulthood.
Inclusion of correlated allele frequencies arising from sibling mating.

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Main Results:

A novel expression for allele frequency change is derived, accounting for two distinct sources of change within a generation.
The derived model is consistent with previous findings on the survival of rare alleles.
The new model highlights discrepancies with traditional inbreeding models that do not account for correlated mating effects.

Conclusions:

Sibling mating introduces an additional, significant factor influencing allele frequency dynamics.
The developed model offers a more comprehensive understanding of allele frequency changes in finite populations.
This work refines evolutionary models by explicitly addressing the consequences of non-random mating patterns.