Skip to main content
. 2011 Mar 18;6(3):e17244. doi: 10.1371/journal.pone.0017244

Table 3. ML estimates and Inline graphicAIC values of the present models for the 1-PAM amino acid substitution matrices of JTT, WAG, and LG, and the 1-PAM codon substitution matrix of KHG.

JTT WAG LG KHG
(codon)
id parameter ML–87a ML–91a ML–94 ML–87a ML–91a ML–94 ML–91a ML–94 ML–200
no.
0 Inline graphic N/A N/A N/A N/A N/A N/A N/A N/A N/A
1 Inline graphic N/A N/A N/A N/A N/A N/A N/A N/A N/A
2 Inline graphic (Inline graphic) 0.637 0.662 (Inline graphic) 1.28 1.29 1.08 1.19 0.939
3 Inline graphic 0.0919 1.57 1.59 0.746 1.70 1.69 1.85 1.81 0.843
4 Inline graphic 1.77 1.14 1.15 1.98 1.32 1.31 1.23 1.21 0.945
5 Inline graphic 0.0293 0.729 0.730 0.0477 0.791 0.784 0.676 0.682 1.52
6 Inline graphic 3.21 0.940 0.950 3.64 1.04 1.01 1.07 1.07 0.554
7 Inline graphic 0.719 1.19 1.18 0.110 1.23 1.23 1.28 1.25 0.573
8 Inline graphic 0.408 0.459 0.446 0.372 0.367 0.392 0.388 0.403 0.497
9 Inline graphic 0.113 0.501 0.522 0.234 0.587 0.513 0.450 0.439 0.513
10 Inline graphic 0.698 0.429 0.436 0.425 0.479 0.471 0.427 0.383 0.470
11 Inline graphic 0.0682 (0.5) 0.483 0.0669 (0.5) 0.221 (0.5) 0.447 NA
12 Inline graphic 0.461 (0.5) 0.491 0.330 (0.5) 0.429 (0.5) 0.555 NA
13 Inline graphic 0.386 (0.5) 0.558 0.310 (0.5) 0.306 (0.5) 0.249 NA
14 Inline graphic 27.3 0.738 0.740 43.3 0.905 0.840 0.415 0.395 Inline graphic
Inline graphic 0.334 0.0243 0.0246 0.317 0.0223 0.0207 0.0246 0.0240 0.0240
#parameters 107 111 114 107 111 114 111 114 261
Inline graphic b Inline graphic 638 Inline graphic Inline graphic 1903 Inline graphic 2771 2335 269946
Inline graphic c 2072.0 297.5 300.6 1370.8 284.3 275.1 782.5 700.4 unknown
Ratio of substitution rates
per codon
the total base/codon 1.28 1.35 1.35 1.38 1.53 1.52 1.38 1.39 1.29
(1.29)d
transition/transversion 0.464 1.08 1.08 0.482 0.932 0.806 1.18 1.20 0.764
(0.765)d
nonsynonymous/synonymouse 1.13 1.37 1.34 1.57 2.07 2.40 1.05 1.20 0.726
(0.723)d
Ratio of substitution rates
per codon for Inline graphic
total base/codon 1.0 1.22 1.22 1.0 1.38 1.40 1.31 1.33 1.29
transition/transversion 0.101 1.21 1.22 0.647 1.11 0.932 1.31 1.35 0.764
nonsynonymous/synonymouse 0.0644 1.04 1.02 0.138 1.50 1.79 0.853 0.889 0.726
Ratio of substitution rates per
codon for Inline graphic and Inline graphic
total base/codon 1.0 1.45 1.46 1.0 1.72 1.74 1.67 1.71 1.51
transition/transversion 0.0605 0.829 0.831 0.499 0.933 0.849 0.992 0.981 0.427
nonsynonymous/synonymouse 11.3 5.58 5.74 11.1 8.68 11.1 7.45 8.46 6.81

aIf the value of a parameter is parenthesized, the parameter is not variable but fixed to the value specified.

b Inline graphic for JTT, Inline graphic for WAG, Inline graphic for LG, and Inline graphic for KHG; see text for details.

c Inline graphic #parameters with Inline graphic for JTT, Inline graphic for WAG, Inline graphic for LG, and the value of Inline graphic is unknown for KHG; see text for details.

dThe value in the parenthesis corresponds to the one for the KHG codon substitution probability matrix.

eNote that these ratios are not the ratios of the rates per site but per codon; see text for details.