What is the formula to calculate the inbreeding coefficient (F) where n represents the number of individuals in the inbreeding path?

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The formula to calculate the inbreeding coefficient (F) measures the probability that two alleles at a locus in an individual are identical by descent due to the ancestry of that individual. The specific formula, F = (1/2)^n, indicates that as the number of generations back to the most recent common ancestor increases (represented by "n"), the probability of inheriting identical alleles decreases exponentially.

In this context, "n" represents the number of individuals in the inbreeding path. Each step back in the pedigree reduces the likelihood of alleles being identical by descent, and since the relationship is exponential, the inbreeding coefficient decreases as n increases. Thus, the formula reflects the biological reality of allele sharing in pedigree configurations, where the shared genetic material becomes more diluted as the generations increase.

This formula is crucial in genetic counseling and population genetics to assess the potential for inbreeding and its associated risks, allowing for informed decisions regarding breeding and genetic health.

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