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 Wright's formula:

Where:

• \( n1 \) — Number of generations from sire to common ancestor
• \( n2 \) — Number of generations from dam to common ancestor
• \( F_a \) — Inbreeding coefficient of the common ancestor

Explanation: The equation calculates the probability that two alleles are identical by descent based on the pedigree structure.

3. Importance of COI Calculation

Details: COI is crucial for understanding genetic diversity in breeding programs. Higher COI values indicate greater inbreeding, which can increase the risk of genetic disorders and reduce overall fitness.

4. Using the Calculator

Tips: Enter the number of generations from each parent to the common ancestor and the ancestor's inbreeding coefficient. For multiple common ancestors, calculate each path separately and sum the results.

5. Frequently Asked Questions (FAQ)

Q1: What is a concerning COI value?
A: Values above 6.25% (equivalent to first cousins) are generally concerning. Above 10% is considered high risk.

Q2: How do I calculate COI for multiple ancestors?
A: Calculate the COI for each common ancestor path separately, then sum all values.

Q3: What does F_a represent?
A: F_a is the inbreeding coefficient of the common ancestor itself, which affects the calculation.

Q4: Are there limitations to this calculation?
A: This assumes all ancestors are unrelated except through the identified paths, and doesn't account for population-level inbreeding.

Q5: How can I reduce COI in my breeding program?
A: Introduce unrelated bloodlines, avoid repeated use of popular sires, and maintain detailed pedigree records.