Joint identity among loci under mutation and regular inbreeding.

Area of Science:

• Population genetics
• Statistical genetics
• Genomics

Background:

• Understanding genetic variation patterns is crucial for population genetics.
• Classical indices of association often rely on allele frequencies.
• Previous methods may not fully capture complex evolutionary forces.

Purpose of the Study:

• To develop a compact method for determining joint probabilities of identity-by-state (IBS) within and between loci.
• To analyze population evolution under genetic drift, crossing-over, mutation, and inbreeding.
• To derive analogues of classical association indices from joint identities.

Main Methods:

• Coalescence-based analysis.
• Calculation of joint probabilities of identity-by-state (IBS).
• Modeling populations under genetic drift, crossing-over, mutation, and partial self-fertilization.

Main Results:

• Joint identities provide analogues of classical association indices.
• Multi-locus associations are linked to simultaneous coalescence events across loci.
• Measures of association depend on genetic diversity, not allele frequencies.

Conclusions:

• The developed method offers a compact way to analyze IBS.
• Association measures are influenced by genetic diversity, providing insights into population structure.
• Scaled indices can aid in interpreting genome-scale variation patterns related to evolutionary rates.