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Table 1 Matrix notation

From: A fast least-squares algorithm for population inference

Genotype matrix Population allele frequencies matrix Individual admixture matrix
G = g 11 g 12 g 1 N g 21 g 22 g 2 N g M 1 g M 2 g MN P = p 11 p 12 p 1 K p 21 p 22 p 2 K p M 1 p M 2 p MK Q = q 11 q 12 q 1 N q 21 q 22 q 2 N q M 1 q M 2 q KN
g li  {0, 1, 2} : number of reference alleles at l th locus for i th individual. 0 P lk 1 : percentage of reference alleles at l th locus in k th population. q ki 0 , Σ k = 1 K q ki = 1 : fraction of i th individual’s genome originating from k th population.
M = number of loci (markers)   1 l M
N = number of individuals   1 i N
K = number of populations   1 k K