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Failing the four-gamete test enables exact phasing: the Corners' Algorithm.

Luis Gomez-Raya1, Wendy M Rauw2

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Summary

The Corners' Algorithm successfully phases three haplotypes when the four-gamete test fails, improving genetic analyses. This method enhances linkage disequilibrium estimation and haplotype-based genome-wide association studies (GWAS).

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Area of Science:

  • Population Genetics
  • Genomic Analysis
  • Statistical Genetics

Background:

  • The four-gamete test is crucial for identifying the number of segregating haplotypes in a population.
  • Failure of this test indicates two or three, rather than four, haplotypes are present, complicating genetic analyses.

Purpose of the Study:

  • To demonstrate that all three haplotypes can be fully and unambiguously phase-resolved when only three are segregating.
  • To introduce and apply the Corners' Algorithm for resolving haplotype phasing in such scenarios.

Main Methods:

  • The Corners' Algorithm analyzes two-locus genotypes in a 3x3 table to identify missing haplotypes.
  • If a corner is zero, the missing haplotype is identified, enabling unambiguous phase resolution for all individuals.
  • Applications include direct linkage disequilibrium (LD) estimation, haplotype-based genome-wide association studies (GWAS), and haplotyping of specific chromosomal regions.

Main Results:

  • Approximately 50% of flanking single nucleotide polymorphism (SNP) pairs failed the four-gamete test, with the Corners' Algorithm yielding comparable results to the expectation maximization (EM) algorithm.
  • Haplotype-based GWAS using the resolved third haplotype identified additional significant associations for total number of piglets born compared to single-marker GWAS.
  • The method enabled haplotyping of 961 Mb of chromosomal regions that previously failed the four-gamete test.

Conclusions:

  • The Corners' Algorithm effectively resolves haplotype phasing when the four-gamete test fails.
  • This approach allows for the use of longer haplotypes in problematic regions as multi-allelic markers with enhanced polymorphism information content.