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By way of contrast, η ij can vary between individuals i and scenarios j.
Therefore, (x_{i,k}) and (x_{j,k }) refer to gene k of individuals i and j.
Without loss of generality, assume that individuals i ∈ G are all fathers in their proxy family.
First, the coancestry f i, j is needed for each pair of individuals i,j.
Assortativeness influences the likelihood of a mating between two individuals i and j as follows: (6) where HD ij is the Hamming distance between the phenotypes of individuals i and j, and HD max = 20 (the number of phenotype genes).
The covariance between individuals i and j can be calculated as: (2) where, and L is the number of loci.
The current model specifies the probability of a potential event between individuals i and j at time, t.
The coancestry of individuals i, j, computed from this extended pedigree, is equal to f i, j FM.
The probability of individuals i and j sharing paternal or maternal QTL alleles IBD is simply P11 or P22 respectively.
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