Table 3. Regional graph partition comparisons.
Region | Competing partition | Q found | Q competing | 𝓢n | ℛad |
---|---|---|---|---|---|
Canada | adm1 | 0.584 | 0.549 | 0.566 | 0.418 |
USA | adm1 | 0.463 | 0.439 | 0.615 | 0.377 |
combined USA | adm1 | 0.451 | 0.439 | 0.632 | 0.423 |
South America | adm0 | 0.684 | 0.629 | 0.725 | 0.522 |
EU | adm0 | 0.668 | 0.66 | 0.742 | 0.749 |
combined EU | adm0 | 0.663 | 0.660 | 0.775 | 0.804 |
Europe | adm0 | 0.734 | 0.718 | 0.708 | 0.656 |
combined Europe | adm0 | 0.720 | 0.718 | 0.742 | 0.707 |
Switzerland in Europe | adm1 | 0.389 | 0.313 | 0.279 | 0.063 |
Germany and Turkey | adm1 | 0.295 | 0.249 | 0.345 | 0.127 |
Former Yugoslavia | adm0 | 0.521 | 0.513 | 0.707 | 0.711 |
UKNs = 650 | adm1 | 0.366 | 0.160 | 0.454 | 0.227 |
UKNs = 650 | adm2 | 0.366 | 0.246 | 0.579 | 0.172 |
Spain | adm1 | 0.538 | 0.514 | 0.680 | 0.507 |
Spain | adm2 | 0.538 | 0.497 | 0.645 | 0.332 |
France | adm1 | 0.298 | 0.230 | 0.264 | 0.112 |
Germany | adm1 | 0.264 | 0.234 | 0.234 | 0.189 |
SE Asia, China and Japan | adm0 | 0.701 | 0.627 | 0.707 | 0.585 |
Japan | adm1 | 0.192 | 0.166 | 0.406 | 0.184 |
India | adm1 | 0.355 | 0.304 | 0.313 | 0.211 |
UKNs = 920 | UKNs = 650 | 0.367 | 0.364 | 0.735 | 0.750 |
UKNs = 920 | adm1 | 0.367 | 0.160 | 0.435 | 0.180 |
UKNs = 920 | adm2 | 0.367 | 0.243 | 0.56 | 0.174 |
rewired UKNs = 650 | adm1 | 0.009 | 0 | 0.001 | 0 |
rewired UKNs = 650 | adm2 | 0.009 | −0.001 | 0.057 | 0 |
Modularities of the found and of the competing partition of the same regional subgraph and their two measures of difference: normalized mutual information and adjusted Rand index. (combined refers to result mixed with partial second-level clustering. adm0 denotes the country-level, while adm1 and adm2 the corresponding first- and the second-level subnational administrative divisions, respectively.)