Table 2 Clustering results of regions according to all distance measures and clustering methods
Distance measure | Clustering method | CA M | CA A | CA MA | CA EA | CA SEA | CA BS | M A | M MA | M EA | M SEA | M BS | A MA | A EA | A SEA | A BS | MA EA | MA SEA | MA BS | EA SEA | EA BS | SEA BS |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Squared Euclidean distance | Between | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X |
Nearest | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | X | X | ✓ | X | X | ✓ | X | X | X | |
Within | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Furthest | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Centroid | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Median | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Ward’s | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Cosine | Between | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X |
Nearest | X | X | X | X | X | X | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | ✓ | ✓ | |
Within | ✓ | ✓ | ✓ | X | X | X | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Furthest | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Centroid | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Median | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Ward’s | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Pearson correlation | Between | X | X | X | ✓ | X | ✓ | X | X | X | ✓ | X | ✓ | X | X | X | X | X | X | X | X | X |
Nearest | X | X | X | ✓ | X | ✓ | X | X | X | ✓ | X | ✓ | X | X | X | X | X | X | X | ✓ | X | |
Within | X | X | X | ✓ | X | ✓ | X | X | X | ✓ | X | ✓ | X | X | X | X | X | X | X | ✓ | X | |
Furthest | X | X | X | ✓ | X | ✓ | X | X | X | ✓ | X | ✓ | X | X | X | X | X | X | X | ✓ | X | |
Centroid | X | X | X | ✓ | X | ✓ | X | X | X | ✓ | X | ✓ | X | X | X | X | X | X | X | ✓ | X | |
Median | X | X | X | ✓ | X | ✓ | X | X | X | ✓ | X | ✓ | X | X | X | X | X | X | X | ✓ | X | |
Ward’s | X | X | X | ✓ | X | ✓ | X | X | X | ✓ | X | ✓ | X | X | X | X | X | X | X | ✓ | X | |
Customized | Between | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X |
Nearest | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | X | X | ✓ | X | X | ✓ | X | X | X | |
Within | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Furthest | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Centroid | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | X | X | ✓ | X | X | ✓ | X | X | X | |
Median | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Ward’s | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Minkowski | Between | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X |
Nearest | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | X | X | ✓ | X | X | ✓ | X | X | X | |
Within | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Furthest | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Centroid | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | X | X | ✓ | X | X | ✓ | X | X | X | |
Median | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Ward’s | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Block | Between | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X |
Nearest | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | X | X | ✓ | X | X | ✓ | X | X | X | |
Within | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Furthest | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Centroid | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Median | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Ward’s | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Chebychev | Between | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X |
Nearest | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | X | X | ✓ | X | X | ✓ | X | X | X | |
Within | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | X | X | ✓ | X | X | ✓ | X | X | X | |
Furthest | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X | |
Centroid | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | X | X | ✓ | X | X | ✓ | X | X | X | |
Median | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | ✓ | X | X | ✓ | ✓ | X | X | ✓ | X | X | ✓ | X | X | X | |
Ward’s | X | X | X | X | X | ✓ | ✓ | ✓ | X | X | X | ✓ | X | X | X | X | X | X | ✓ | X | X |