A model of assortative mating with partial dominance.

Area of Science:

• Population Genetics
• Quantitative Genetics

Background:

• Assortative mating, where individuals choose mates with similar genotypes or phenotypes, is a key factor influencing population genetic structure.
• Existing models often simplify genetic interactions, limiting their applicability to complex scenarios like partial dominance.

Purpose of the Study:

• To develop a generalized mathematical model for assortative mating that incorporates partial dominance at a single locus with two alleles.
• To establish a canonical form of the model that explicitly links the correlation between mates to genotypic values and the fixation index.

Main Methods:

• The model is derived from an arbitrary genotypic distribution by identifying symmetric, non-selective mating frequencies that replicate it.
• Numerical values are assigned to genotypes, with homozygotes having opposing values and heterozygotes' values determined by allele frequencies.

Main Results:

• The model successfully incorporates partial dominance and allows for both positive and negative fixation index values.
• The canonical form reveals the relationship between mating correlation, genotypic values, and the fixation index (F).

Conclusions:

• The proposed model offers a unified framework for studying assortative mating under partial dominance.
• It encompasses and generalizes several previously described equilibrium models in population genetics literature.