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Coefficient of Inbreeding Calculator

Coefficient of Inbreeding Formula:

\[ COI = \sum\left[\left(\frac{1}{2}\right)^{n1 + n2 + 1} \times (1 + F_a)\right] \]

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1. What is the Coefficient of Inbreeding?

The Coefficient of Inbreeding (COI) measures the probability that two alleles at any locus in an individual are identical by descent from a common ancestor. It quantifies the degree of inbreeding in a pedigree.

2. How Does the Calculator Work?

The calculator uses the standard COI formula:

\[ COI = \sum\left[\left(\frac{1}{2}\right)^{n1 + n2 + 1} \times (1 + F_a)\right] \]

Where:

Explanation: The equation calculates the probability that two alleles from a common ancestor will be identical in the offspring.

3. Importance of COI Calculation

Details: COI is crucial in animal breeding, conservation biology, and human genetics to assess inbreeding depression risks and genetic diversity.

4. Using the Calculator

Tips: Enter the number of generations for each parent's path to the common ancestor, the ancestor's inbreeding coefficient (0 if unknown), and the number of distinct common ancestral paths.

5. Frequently Asked Questions (FAQ)

Q1: What does a COI of 0 mean?
A: A COI of 0 indicates no inbreeding - the parents share no common ancestors.

Q2: What is considered a high COI?
A: Values above 0.0625 (first cousins) are generally concerning, with higher values indicating greater inbreeding.

Q3: How does COI relate to genetic disorders?
A: Higher COI increases the probability of homozygous recessive deleterious alleles being expressed.

Q4: Can COI be negative?
A: No, COI ranges from 0 (no inbreeding) to 1 (complete inbreeding).

Q5: How accurate is this calculator for complex pedigrees?
A: For complex pedigrees with multiple common ancestors, specialized software may be needed for complete accuracy.

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