VanRaden Genomic Relationship

Calculate one off-diagonal genomic relationship using VanRaden's first-method scaling: the cross-product of centered marker genotypes divided by twice the sum of p(1−p) across markers. Negative estimates are possible after centering.

Description

Calculate one off-diagonal genomic relationship using VanRaden's first-method scaling: the cross-product of centered marker genotypes divided by twice the sum of p(1−p) across markers. Negative estimates are possible after centering.

VanRaden Genomic Relationship is a focused biology tool that calculate one off-diagonal genomic relationship using VanRaden's first-method scaling: the cross-product of centered marker genotypes divided by twice the sum of p(1−p) across markers. Negative estimates are possible after centering. It calculates locally from the values you enter and exposes the result without changing the source observations.1

When to use VanRaden Genomic Relationship

Use VanRaden Genomic Relationship when you need to calculate one off-diagonal genomic relationship using VanRaden's first-method scaling: the cross-product of centered marker genotypes divided by twice the sum of p(1−p) across markers. Negative estimates are possible after centering. Enter Centered genotype cross-product and Allele-frequency variance sum using the definitions and units below so the result can be reproduced.

Centered genotype cross-product
Cross-product of both individuals' centered marker dosages.
Allele-frequency variance sum
Sum of p(1−p) over the markers used in the cross-product.

How VanRaden Genomic Relationship calculates the result

The published tool contract uses this rule: Calculate one off-diagonal genomic relationship using VanRaden's first-method scaling: the cross-product of centered marker genotypes divided by twice the sum of p(1−p) across markers. Negative estimates are possible after centering.

Genomic relationship
The calculated genomic relationship.

Limitations of VanRaden Genomic Relationship

The output is an estimate tied to the stated model and coefficients; it is not a direct measurement and should retain that label when reported.

Alternative or Complementary measurements

Retain the original Centered genotype cross-product and Allele-frequency variance sum values and their units alongside the result. GEBV Blend is useful when you instead need to blend a genomic estimated breeding value and a pedigree estimated breeding value using a weighted average. Additive Relationship provides another view by helping you compute the additive relationship contribution of one common ancestor path as the number of paths times 0.5 raised to the generation distance.

References

  1. Coefficient of relationship — Wikipedia contributors

Similar or alternative tools

  • GEBV Blend

    Blend a genomic estimated breeding value and a pedigree estimated breeding value using a weighted average.

  • Additive Relationship

    Compute the additive relationship contribution of one common ancestor path as the number of paths times 0.5 raised to the generation distance.

  • Pedigree F Accumulated

    Accumulate an inbreeding coefficient as the base coefficient plus the remaining relationship budget times one path contribution.

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