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.

Description

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

Additive Relationship is a focused biology tool that compute the additive relationship contribution of one common ancestor path as the number of paths times 0.5 raised to the generation distance. It calculates locally from the values you enter and exposes the result without changing the source observations.1

When to use Additive Relationship

Use Additive Relationship when you need to compute the additive relationship contribution of one common ancestor path as the number of paths times 0.5 raised to the generation distance. Enter Common ancestor paths and Generations using the definitions and units below so the result can be reproduced.

Common ancestor paths
Number of independent paths through the common ancestor.
Generations
Generations separating the individuals via the ancestor.

How Additive Relationship calculates the result

The published tool contract uses this rule: Compute the additive relationship contribution of one common ancestor path as the number of paths times 0.5 raised to the generation distance.

Relationship coefficient r
The calculated relationship coefficient r.

Limitations of Additive Relationship

A ratio or percentage can conceal the scale of its numerator and denominator and becomes sensitive to measurement error when the denominator is small.

Alternative or Complementary measurements

Retain the original Common ancestor paths and Generations values and their units alongside the result. Kinship From Path is useful when you instead need to compute one common-ancestor path contribution to the kinship coefficient as (1/2)^(n₁+n₂+1) × (1+Fₐ), where the path length is the combined generations from both individuals to the ancestor. Additive Variance Component provides another view by helping you derive the additive genetic variance by subtracting dominance and epistatic components from the total genetic variance.

References

  1. Coefficient of relationship — Wikipedia contributors

Similar or alternative tools

  • Kinship From Path

    Compute one common-ancestor path contribution to the kinship coefficient as (1/2)^(n₁+n₂+1) × (1+Fₐ), where the path length is the combined generations from both individuals to the ancestor.

  • Additive Variance Component

    Derive the additive genetic variance by subtracting dominance and epistatic components from the total genetic variance.

  • Pedigree F Accumulated

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

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