Inbreeding Coefficient Calculator

Formula

The formula to calculate the Inbreeding Coefficient (F) is:

\[ F = 0.5 \cdot \sum \left( \frac{1}{2} \right)^n \]

Where:

F – The inbreeding coefficient.
n – The number of individuals in the path from one parent to the common ancestor and back to the other parent.
\(\sum\) – Represents the sum of all paths.

Definition

Inbreeding Coefficient (F): A measure of the probability that two alleles at a locus are identical by descent.
Number of Individuals in the Path (n): The number of individuals in the path from one parent to the common ancestor and back to the other parent.

Example

Let's say there are two paths with 3 and 4 individuals respectively. Using the formula:

\[ F = 0.5 \cdot \left( \left( \frac{1}{2} \right)^3 + \left( \frac{1}{2} \right)^4 \right) = 0.5 \cdot \left( \frac{1}{8} + \frac{1}{16} \right) = 0.5 \cdot \left( 0.125 + 0.0625 \right) = 0.5 \cdot 0.1875 = 0.09375 \]

So, the inbreeding coefficient is 0.09375.