Web Tables 1-12. Example of the UPGMA method of tree construction.
Web Table 7.1. Distance matrix of 13
globins using the
|
taxon |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
0.18 |
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
0.15 |
0.11 |
|
|
|
|
|
|
|
|
|
|
|
|
4 |
1.36 |
1.36 |
1.36 |
|
|
|
|
|
|
|
|
|
|
|
5 |
1.40 |
1.47 |
1.36 |
0.24 |
|
|
|
|
|
|
|
|
|
|
6 |
1.51 |
1.51 |
1.43 |
0.22 |
0.27 |
|
|
|
|
|
|
|
|
|
7 |
1.23 |
1.20 |
1.17 |
0.88 |
0.94 |
0.90 |
|
|
|
|
|
|
|
|
8 |
1.23 |
1.26 |
1.17 |
0.84 |
0.90 |
0.86 |
0.15 |
|
|
|
|
|
|
|
9 |
1.33 |
1.29 |
1.23 |
0.92 |
0.94 |
0.88 |
0.25 |
0.28 |
|
|
|
|
|
|
10 |
1.51 |
1.68 |
1.51 |
1.14 |
1.14 |
1.12 |
1.33 |
1.33 |
1.26 |
|
|
|
|
|
11 |
1.55 |
1.64 |
1.55 |
1.12 |
1.14 |
1.12 |
1.33 |
1.40 |
1.26 |
0.07 |
|
|
|
|
12 |
2.02 |
1.95 |
1.95 |
1.73 |
1.73 |
1.73 |
1.47 |
1.59 |
1.59 |
1.73 |
1.78 |
|
|
|
13 |
1.47 |
1.51 |
1.43 |
1.68 |
1.73 |
1.95 |
1.68 |
1.59 |
1.78 |
1.51 |
1.55 |
1.64 |
|
Web Table 7.2. First clustered matrix: OTUs 10 and 11 are combined, and we prepare to join OTUs 2 and 3. The two closest OTUs (10 and 11) have been clustered to create 10·11. The values in the newly joined 10·11 taxon are obtained for dissimilarity Uab,c by averaging Ua,c and Ub,c. For example, for U10·11,1 we take the average of U10,1 and U11,1. This means we inspect web table 7.1 and take the average of the distance of OTU 10 to OTU 1 (that is 1.51, highlighted in yellow) and OTU 11 to OTU 1 (that is 1.55, also highlighted in yellow), obtain the average value (1.53) and enter that in web table 7.2 (see value 1.53 in blue). When this process is complete, we identify the next smallest value; it is 0.11 (indicated in red) between OTUs 2 and 3. (Column 13 is blank and hence is deleted.)
|
taxon |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10·11 |
12 |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
2 |
0.18 |
|
|
|
|
|
|
|
|
|
|
|
3 |
0.15 |
0.11 |
|
|
|
|
|
|
|
|
|
|
4 |
1.36 |
1.36 |
1.36 |
|
|
|
|
|
|
|
|
|
5 |
1.40 |
1.47 |
1.36 |
0.24 |
|
|
|
|
|
|
|
|
6 |
1.51 |
1.51 |
1.43 |
0.22 |
0.27 |
|
|
|
|
|
|
|
7 |
1.23 |
1.20 |
1.17 |
0.88 |
0.94 |
0.90 |
|
|
|
|
|
|
8 |
1.23 |
1.26 |
1.17 |
0.84 |
0.90 |
0.86 |
0.15 |
|
|
|
|
|
9 |
1.33 |
1.29 |
1.23 |
0.92 |
0.94 |
0.88 |
0.25 |
0.28 |
|
|
|
|
10·11 |
1.53 |
1.66 |
1.53 |
1.13 |
1.14 |
1.12 |
1.33 |
1.365 |
1.26 |
|
|
|
12 |
2.02 |
1.95 |
1.95 |
1.73 |
1.73 |
1.73 |
1.47 |
1.59 |
1.59 |
1.755 |
|
|
13 |
1.47 |
1.51 |
1.43 |
1.68 |
1.73 |
1.95 |
1.68 |
1.59 |
1.78 |
1.53 |
1.64 |
Web table 7.3. Second clustered matrix: combining OTUs 2 and 3, and preparing to next combine OTUs 7 and 8. After calculating the means of 2·3 to each of the other values, we next identify the smallest distance (0.15 for OTUs 7 and 8), highlight that cell in red to mark its position, and highlight the rows and columns corresponding to OTUs 7 and 8 for which we will calculate the average values to be placed in Web table 7.4.
|
taxon |
1 |
2·3 |
4 |
5 |
6 |
7 |
8 |
9 |
10·11 |
12 |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
2·3 |
0.165 |
|
|
|
|
|
|
|
|
|
|
4 |
1.36 |
1.36 |
|
|
|
|
|
|
|
|
|
5 |
1.40 |
1.415 |
0.24 |
|
|
|
|
|
|
|
|
6 |
1.51 |
1.47 |
0.22 |
0.27 |
|
|
|
|
|
|
|
7 |
1.23 |
1.185 |
0.88 |
0.94 |
0.90 |
|
|
|
|
|
|
8 |
1.23 |
1.215 |
0.84 |
0.90 |
0.86 |
0.15 |
|
|
|
|
|
9 |
1.33 |
1.26 |
0.92 |
0.94 |
0.88 |
0.25 |
0.28 |
|
|
|
|
10·11 |
1.53 |
1.595 |
1.13 |
1.14 |
1.12 |
1.33 |
1.365 |
1.26 |
|
|
|
12 |
2.02 |
1.95 |
1.73 |
1.73 |
1.73 |
1.47 |
1.59 |
1.59 |
1.755 |
|
|
13 |
1.47 |
1.47 |
1.68 |
1.73 |
1.95 |
1.68 |
1.59 |
1.78 |
1.53 |
1.64 |
Web table 7.4. Third clustered matrix: OTUs 7,8 are combined, and we prepare to combine OTU 1 with OTU 2·3. After calculating the means of 2·3 to each of the other values, we next identify the smallest distance (0.165 for OTUs 1 and 2·3), highlight that cell in red to mark its position, and highlight the rows and columns corresponding to OTUs 1 and 2·3 for which we will calculate the average values to be placed in Web table 7.5.
|
taxon |
1 |
2·3 |
4 |
5 |
6 |
7·8 |
9 |
10·11 |
12 |
|
1 |
|
|
|
|
|
|
|
|
|
|
2·3 |
0.165 |
|
|
|
|
|
|
|
|
|
4 |
1.36 |
1.36 |
|
|
|
|
|
|
|
|
5 |
1.40 |
1.415 |
0.24 |
|
|
|
|
|
|
|
6 |
1.51 |
1.47 |
0.22 |
0.27 |
|
|
|
|
|
|
7·8 |
1.23 |
1.20 |
0.86 |
0.92 |
0.88 |
|
|
|
|
|
9 |
1.33 |
1.26 |
0.92 |
0.94 |
0.88 |
0.265 |
|
|
|
|
10·11 |
1.53 |
1.595 |
1.13 |
1.14 |
1.12 |
1.348 |
1.26 |
|
|
|
12 |
2.02 |
1.95 |
1.73 |
1.73 |
1.73 |
1.53 |
1.59 |
1.755 |
|
|
13 |
1.47 |
1.47 |
1.68 |
1.73 |
1.95 |
1.635 |
1.78 |
1.53 |
1.64 |
Web table 7.5. Fourth clustered matrix: OTU 1 is combined with OTU 2·3, and we prepare to combine OTUs 4 and 6.
|
taxon |
(1, 2·3) |
4 |
5 |
6 |
7·8 |
9 |
10·11 |
12 |
|
(1,2·3) |
|
|
|
|
|
|
|
|
|
4 |
1.36 |
|
|
|
|
|
|
|
|
5 |
1.408 |
0.24 |
|
|
|
|
|
|
|
6 |
1.49 |
0.22 |
0.27 |
|
|
|
|
|
|
7·8 |
1.215 |
0.86 |
0.92 |
0.88 |
|
|
|
|
|
9 |
1.295 |
0.92 |
0.94 |
0.88 |
0.265 |
|
|
|
|
10·11 |
1.563 |
1.13 |
1.14 |
1.12 |
1.348 |
1.26 |
|
|
|
12 |
2.02 |
1.73 |
1.73 |
1.73 |
1.53 |
1.59 |
1.755 |
|
|
13 |
1.985 |
1.68 |
1.73 |
1.95 |
1.635 |
1.78 |
1.53 |
1.64 |
Web table 7.6. Fifth clustered matrix: OTUs 4 and 6 are combined, and we prepare to combine the next closest pair, that is OTU 4·6 with OTU 5.
|
taxon |
(1, 2·3) |
4·6 |
5 |
7·8 |
9 |
10·11 |
12 |
|
(1,2·3) |
|
|
|
|
|
|
|
|
4·6 |
1.425 |
|
|
|
|
|
|
|
5 |
1.408 |
0.255 |
|
|
|
|
|
|
7·8 |
1.215 |
0.87 |
0.92 |
|
|
|
|
|
9 |
1.295 |
0.90 |
0.94 |
0.265 |
|
|
|
|
10·11 |
1.563 |
1.125 |
1.14 |
1.348 |
1.26 |
|
|
|
12 |
2.02 |
1.73 |
1.73 |
1.53 |
1.59 |
1.755 |
|
|
13 |
1.985 |
1.815 |
1.73 |
1.635 |
1.78 |
1.53 |
1.64 |
Web table 7.7. Sixth clustered matrix: OTUs 4·6 and 5 are combined, and we prepare to combine OTU 7·8 with OTU 9.
|
taxon |
(1, 2·3) |
(4·6,5) |
7·8 |
9 |
10·11 |
12 |
|
(1,2·3) |
|
|
|
|
|
|
|
(4·6,5) |
1.4165 |
|
|
|
|
|
|
7·8 |
1.215 |
0.895 |
|
|
|
|
|
9 |
1.295 |
0.92 |
0.265 |
|
|
|
|
10·11 |
1.563 |
1.133 |
1.348 |
1.26 |
|
|
|
12 |
2.02 |
1.73 |
1.53 |
1.59 |
1.755 |
|
|
13 |
1.985 |
1.773 |
1.635 |
1.78 |
1.53 |
1.64 |
Web table 7.8. Seventh clustered matrix: OTUs 7·8 and 9 are combined, and we prepare to combine OTU (7·8,9) with OTU (4·6,5).
|
taxon |
(1, 2·3) |
(4·6,5) |
(7·8,9) |
10·11 |
12 |
|
(1,2·3) |
|
|
|
|
|
|
(4·6,5) |
1.4165 |
|
|
|
|
|
(7·8,9) |
1.255 |
0.908 |
|
|
|
|
10·11 |
1.563 |
1.133 |
1.304 |
|
|
|
12 |
2.02 |
1.73 |
1.56 |
1.755 |
|
|
13 |
1.985 |
1.773 |
1.708 |
1.53 |
1.64 |
Web table 7.9. Eighth clustered matrix: OTUs (7·8,9) and (4·6,5) are combined, and we prepare to combine OTU (4·6,5) (7·8,9) with OTU 10·11.
|
taxon |
(1, 2·3) |
(4·6,5) (7·8,9) |
10·11 |
12 |
|
(1,2·3) |
|
|
|
|
|
(4·6,5) (7·8,9) |
1.336 |
|
|
|
|
10·11 |
1.563 |
1.219 |
|
|
|
12 |
2.02 |
1.645 |
1.755 |
|
|
13 |
1.985 |
1.741 |
1.53 |
1.64 |
Web table 7.10. Ninth clustered matrix: OTUs (4·6,5) (7·8,9) and 10·11 are combined, and we prepare to combine OTU (1, 2·3) with OTU [(4·6,5) (7·8,9)](10·11).
|
taxon |
(1, 2·3) |
[(4·6,5) (7·8,9)](10·11) |
12 |
|
(1,2·3) |
|
|
|
|
[(4·6,5) (7·8,9)](10·11) |
1.449 |
|
|
|
12 |
2.02 |
1.700 |
|
|
13 |
1.985 |
1.636 |
1.64 |
Web table 7.11. Tenth clustered matrix: OTUs (1, 2·3) and [(4·6,5) (7·8,9)](10·11) are combined, and we prepare to combine OTU 12 with OTU 13.
|
taxon |
(1,2·3)[[(4·6,5) (7·8,9)](10·11)] |
12 |
|
(1,2·3)[[(4·6,5) (7·8,9)](10·11)] |
|
|
|
12 |
1.86 |
|
|
13 |
1.811 |
1.64 |
Web table 7.12. Eleventh clustered matrix: OTUs 12 and 13 are combined, and we prepare to combine OTU x with OTU x. To obtain the value 1.836 we take the average of 1.86 and 1.811 from web table 7.11.
|
taxon |
(1,2·3)[[(4·6,5) (7·8,9)](10·11)] |
12·13 |
|
(1,2·3)[[(4·6,5) (7·8,9)](10·11)] |
|
|
|
12·13 |
1.836 |
|