Wright's Coefficient Of Inbreeding Calculator

Wright's Inbreeding Coefficient Formula:

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

Generations to Common Ancestor (n1):

generations

Generations to Common Ancestor (n2):

generations

Inbreeding of Ancestor (F_A):

coefficient

Wright's Inbreeding Coefficient (F):

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1. What is Wright's Coefficient of Inbreeding?

Wright's coefficient of inbreeding (F) 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 Wright's formula:

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

Where:

\( n1 \) — Number of generations from individual to common ancestor through one parent
\( n2 \) — Number of generations from individual to common ancestor through the other parent
\( F_A \) — Inbreeding coefficient of the common ancestor

Explanation: The formula calculates the probability that two alleles are identical by descent based on the path through common ancestors in the pedigree.

3. Importance of Inbreeding Coefficient

Details: The inbreeding coefficient is crucial in population genetics, animal breeding, and conservation biology. It helps assess genetic diversity, predict inbreeding depression, and manage breeding programs to maintain healthy populations.

4. Using the Calculator

Tips: Enter the number of generations to the common ancestor through each parent (n1 and n2), and the inbreeding coefficient of the common ancestor (F_A). All values must be valid positive numbers with F_A between 0 and 1.

5. Frequently Asked Questions (FAQ)

Q1: What does an inbreeding coefficient of 0 mean?
A: An F value of 0 indicates no inbreeding - the individual has no common ancestors in their pedigree.

Q2: What is considered a high inbreeding coefficient?
A: Values above 0.125 (equivalent to half-sib mating) are generally considered high, with values above 0.25 (equivalent to full-sib mating) representing significant inbreeding.

Q3: How is this different from relatedness coefficients?
A: Inbreeding coefficient (F) measures probability of identical alleles within an individual, while relatedness measures proportion of shared alleles between individuals.

Q4: When should Wright's coefficient be used?
A: It's used in pedigree analysis for animals, plants, and human genetics to quantify inbreeding levels and assess genetic health of populations.

Q5: Are there limitations to this calculation?
A: The calculation assumes known pedigree information and may not account for all genetic factors. It becomes complex with multiple common ancestors.