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 i
|
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
|
|
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 k
|
|
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
|
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 |