The transition probabilities between ancestry pairs.

If A_k represent a specific ancestry and θ_k represents the admixture proportion of that ancestry in the admixed population, then these equations are the transition probabilities for all possible types of transitions given a probability r_j of one or more recombinations occurring between the previous informative CSV and the j^th informative CSV. The rows represent the ancestry state at the previous CSV and the columns the ancestry state being transitioned into at the j^th CSV.