Table A1. Definitions of parameters used in this study.

Parameter	Description
α	Dirichlet parameter on admixture proportions
β	Power used in power posterior calculation
$c^{\left(-i\right)}$	Evaluation of a parameter while excluding information for individual i (c could be any of the parameters listed above)
$c^{\left(-ilp\right)}$	Evaluation of a parameter while excluding information for gene copy a at locus l in individual i (c could be any of the parameters listed here)
$J_l$	No. of unique alleles observed at locus l
K	No. of populations
L	No. of loci
${\lambda }_{lj}$	Dirichlet parameter for frequency of allele j at locus l [where $j\in \left(1,\dots ,J_l\right)$]
${\lambda }_{l0}$	Sum of the Dirichlet parameters for locus l [i.e., ${\lambda }_{l0}={\displaystyle {\sum }_{j=1}^{J_l}{\lambda }_{lj}}$]
n	No. of individuals sampled
$p$	Allele frequencies in all populations at all loci
$q_i$	Admixture proportions in individual i
$s_{il}$	Allelic partition of alleles in individual i at locus l. For example, the genotype $x_{il}=\left(3,3\right)$ can be written $s_{il}=\left\{0,0,2,0,0\right\}$ in allelic partition form, where in this example $J_l=5$
$s_{ilj}$	No. of copies of allele j at locus l in individual i [where $j\in \left(1,\dots ,J_l\right)$]
$s_{il0}$	No. of copies of any allele at locus l in individual i [i.e., $s_{il0}={\displaystyle {\sum }_{j=1}^{J_l}{s}_{ilj}}$]
$\Gamma (\cdot )$	Denotes the gamma function.
$v$	Partition of gene copies to populations in all individuals
$v_i$	Partition of gene copies to populations in individual i
$v_{ik}$	No. of gene copies in individual i assigned to population k
$v_{i0}$	No. of gene copies in individual i assigned to any population [i.e., $v_{i0}={\displaystyle {\sum }_{k=1}^K{v}_{ik}}$]
$x$	Genetic information for all individuals
$x_i$	Genetic information for individual i
$x_{il}$	Genetic information for individual i at locus l
$x_{ila}$	Allelic type of the $a\mathrm{th}$ gene copy in individual i at locus l [where $x_{ila}\in \left(1,\dots ,J_l\right)$]
$y_k$	Allelic partition at all loci of all gene copies assigned to population k
$y_{kl}$	Allelic partition at locus l of all gene copies assigned to population k
$y_{klj}$	No. of copies of allele j at locus l assigned to population k
$y_{kl0}$	No. of copies of any allele at locus l assigned to population k [i.e., $y_{kl0}={\displaystyle {\sum }_{j=1}^{J_l}{y}_{klj}}$]
$z$	Assignment of all gene copies in all individuals
$z_{ila}$	Assignment of gene copy a at locus l in individual i to a population [where $z_{ila}\in \left(1,\dots ,K\right)$]
$z_i$	Assignment of individual i to a population. When referring to $z_i$ it is implied that $z_{ila}$ is identical for all $\left(l,a\right),$ meaning all gene copies within this individual are assigned together