Table 1 . Examples of relabeling and distances for assignment samples.

Sample no.	Sampled assignment by individual	Relabeling island modela	Partition distanceb		Relabeling tree model (1, 2), 3)c	Tree-constrained distanced
	1 2 3 4 5 6	1 2 3 4 5 6	Ae	Bf		Ae	Bf
1	2 2 1 1 3 3	1 1 2 2 3 3	0	1	1 1 2 2 3 3	0	1
2	2 2 3 3 1 1	1 1 2 2 3 3	0	1	1 1 3 3 2 2	4	3
3	1 1 2 2 3 3	1 1 2 2 3 3	0	1	1 1 2 2 3 3	0	1
4	3 2 1 2 1 1	1 2 3 2 3 3	2	3	3 1 2 1 2 2	4	3
5	2 2 1 2 3 3	1 1 2 1 3 3	1	2	1 1 2 1 3 3	1	2
Sumg			3	8		9	10
Squaredh			5	16		33	24

Five sampled assignments are shown for six individuals from three populations, with each individual having a population value of 1, 2, or 3. The third column represents one possible relabeling of the assignment. The fourth column shows the partition distance (see text) between two candidate assignments, A and B. The fifth column represents one of two possible relabeled assignments by considering a particular population tree. The sixth column shows the tree-constrained distances between assignments A and B with the assignment of the fifth column.

^aRelabeled assignments, of six possible relabelings, under island population structure.

^bThe minimum number of individuals that have to be removed from a relabeled assignment (among all six possible relabelings) to calculate the distance to assignment A or B (Almudevar and Field 1999).

^cRelabels of the sampled assignment that is constrained by the population tree such that only populations 1 and 2 form an equivalence class.

^dThe minimum number of individuals required to make the relabel with the tree constraint equivalent to the true assignment A or B.

^eAssignment A: 1 1 2 2 3 3.

^fAssignment B: 1 1 2 2 2 3.

^gSum of the five distances.

^hSum of the five squared distances.