Comparisons of three probability formulae for parentage exclusion

Area of Science:

• Animal genetics
• Population genetics
• Bioinformatics

Background:

• Accurate pedigree records are crucial for animal breeding and conservation.
• Marker systems are widely used for parentage testing.
• Existing methods may not cover all scenarios of pedigree errors.

Purpose of the Study:

• To develop and compare general formulae for calculating the average exclusion capability of marker systems.
• To assess the effectiveness of these formulae in disputing falsely reported pedigree records in uniparous species.
• To provide a framework for optimizing marker selection for parentage testing.

Main Methods:

• Derivation of three general formulae for parentage exclusion.
• Simplification of formulae to calculate maximal average exclusion values.
• Application of formulae using allele frequency data from eight marker systems in horses.

Main Results:

• The study calibrates the average capability of marker systems to dispute false pedigree records.
• Three distinct formulae are presented, addressing paternity, maternity, and cases with missing parent genotypes.
• Practical examples using horse marker data demonstrate the application and comparison of exclusion values.

Conclusions:

• The developed formulae provide a robust method for evaluating marker system efficacy in parentage verification.
• These tools can aid in identifying and correcting errors in pedigree data.
• The findings support informed selection of marker systems for genetic analysis in uniparous animals.