Matings
To determine how reliable AncestryByDNA™ 2.5 was for measuring
admixture levels we can also computationally perform matings between simulated
individuals.
By the laws of genetics, the ancestry percentages for offspring should be
predictable given knowledge of the percentages of the parents. To plot the
distribution of admixture levels in offspring from a family tree with 3 Europeans
and one homogeneous African, we used the allele frequencies to randomly generate
one 100% Western sub-Saharan African and 3 100% European grandparents. We then
mated the simulated African grandparent with one of the simulated European
grandparents and the other two simulated European grandparents to generate
a F1 generation (a simulated mom and a dad). These two people would be expected
to show approx 50:50 and 100. We then mated this simulated mom and dad pair
to generate a simulated F2 offspring (i.e., a person taking the AncestryByDNA™ test). We repeated this 100 times to generate 100 F2 individuals.
By the law of genetics (independent assortment) we expect each offspring has
their own unique percentage, because the inheritance of chromosomes is a random
process and some offspring get more or less African markers in common with
the African population. However, the average offspring would be expected to
show 25% African and 75% European BGA (note that these simulated individuals
are not “related” since the grandparents are randomly selected
from the simulated population). We can see from the distribution of BGA percentages
in the simulated F2 that the average offspring exhibits about 25-26% African
ancestry, as expected, in addition some offspring show more or less admixture,
which is also expected.

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Below, we performed the same experiment using a simulated
East Asian and 3 simulated European grandparents. Again, the average F2 offspring
exhibits the expected level of East Asian admixture.

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Below, we performed the same experiment using a simulated
Native American and 3 simulated European grandparents. Again, the average F2
offspring exhibits the expected level of Native American admixture. Experiments
using other types of combinations show the similar results.

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