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. 2007 Apr;175(4):1787–1802. doi: 10.1534/genetics.106.061317

TABLE 1.

Definitions of parameters used in this study

Parameter Description
K No. of populations
L No. of loci
Jl No. of unique alleles observed at locus l
n No. of individuals sampled
xilj No. of copies of allele j at locus l in individual i
xil No. of copies of alleles at locus l for individual iInline graphic
xil Allele information for individual i at locus l
Xi Allele information for individual i
X Allele information for all individuals
yklj No. of copies of allele j at locus l in individuals assigned to population k
Inline graphic No. of copies of allele j at locus l in individuals assigned to population k, excluding information for individual i
ykl No. of alleles observed for some locus l in individuals assigned to population kInline graphic
Inline graphic No. of alleles observed for some locus l in individuals assigned to population k, excluding information for individual i
pklj Frequency of allele j at locus l in population k
pkl Vector containing the allele frequencies for locus l in population k
λj Dirichlet parameter for frequency of allele j
λ0 Sum of the Dirichlet parameters for some locus and population Inline graphic
zi Assignment of individual i to a population [zi ∈ (1, …, K)]
z Allocation vector containing the assignments of the n individuals to populations [i.e., z = (z1, z2, …, zn)]
α Parameter of the Dirichlet process prior model that controls the “clumpiness” of the process
S(n, k) Stirling no. of the second kind (no. of ways to partition n individuals into k populations)
Bn Bell nos. (total no. of ways to assign n individuals to populations)
nak Stirling nos. of the first kind
Γ(·) Gamma function
I(·) Indicator function, equaling 0 or 1