Independent Inbreeding Paths

Sum caller-validated independent common-ancestor path contributions to offspring inbreeding.

Description

Pedigree path methods add common-ancestor contributions to inbreeding.

Pedigree path methods add common-ancestor contributions to inbreeding. Independent, nonduplicated paths are essential for a meaningful sum.

Sum caller-validated independent common-ancestor path contributions to offspring inbreeding.

When to use Independent Inbreeding Paths

Use this for the following task: Sum caller-validated independent common-ancestor path contributions to offspring inbreeding.

Prepare the observed records or explicit model parameters requested below. Keep probabilities as fractions and paired records aligned.

How to use Independent Inbreeding Paths and understand its results

  1. Prepare the observed records or explicit model parameters requested below. Keep probabilities as fractions and paired records aligned.
  2. Enter firstParentPathGenerations, secondParentPathGenerations, ancestorInbreeding, independentPathsConfirmed using the field table, then run the tool.
  3. Read pathContributions, offspringInbreeding. Interpret flags, units, ordering and placeholder values using the rules below.
  4. Review any reported issue or failed check, correct the supplied values when appropriate, and verify the result in its intended context.
Input fieldMeaningValue type and boundsRequirement
firstParentPathGenerationsFirst parent path generationslist of number; each entry: numberRequired
secondParentPathGenerationsSecond parent path generationslist of number; each entry: numberRequired
ancestorInbreedingAncestor inbreedinglist of number; each entry: numberRequired
independentPathsConfirmedIndependent paths confirmedbooleanRequired

Align nonnegative integer path generations with ancestor coefficients in [0,1], and require independentPathsConfirmed true. Calculate each contribution and reject a total above one.1

path = (1/2)^(n1+n2+1)(1+ancestorF); offspringF = Σpath

This summarizes the declared operation. Units, indexing, inclusivity and exceptional cases are explained in the surrounding text.

Output fieldMeaningValue type
pathContributionsPath contributionslist of number
offspringInbreedingOffspring inbreedingnumber
json
{
  "input": {
    "firstParentPathGenerations": [
      2,
      2
    ],
    "secondParentPathGenerations": [
      2,
      2
    ],
    "ancestorInbreeding": [
      0,
      0
    ],
    "independentPathsConfirmed": true
  },
  "output": {
    "pathContributions": [
      0.03125,
      0.03125
    ],
    "offspringInbreeding": 0.0625
  }
}

Limitations and assumptions

The tool does not discover ancestors or verify path independence; confirmation is a caller-supplied prerequisite.

The tool evaluates supplied observations or a declared model. It does not establish the biological cause of an observed pattern. Malformed requests produce input errors. A successfully evaluated request can still contain false flags, empty result lists or a result outside the supplied threshold; those outcomes have the meanings stated above.

Alternative or Complementary methods

Choose Inbreeding Accumulation for this operation: Project accumulated inbreeding using an explicit initial coefficient and constant effective size. For a complementary task, use Bottleneck Heterozygosity Loss for this operation: Project heterozygosity loss over a constant-size diploid bottleneck.

The implementation reference documents the exact calculation, supported input shapes and returned fields.

References

  1. Independent Inbreeding Paths — tool.io

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