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Table 1 Parameter estimates, likelihood scores and identified selected sites under various models. Branch numbers refer to Figure 4A. Parameters indicating positive selection are in bold. A likelihood ratio test (LRT) is used to compare a pair of nested models: one which accounts for sites with ω > 1 and one which does not (the null model). To accept or reject the ω > 1 hypothesis, twice the log-likelihood difference in the scores is compared with a χ2 distribution with the degrees of freedom equal to the difference in the numbers of parameters between the two models. When ML detects lineages with ω > 1, an empirical Bayes analysis identifies sites under positive selection and calculate posterior probabilities that provide a measure of confidence for that prediction.

From: Evolution of a microbial nitrilase gene family: a comparative and environmental genomics study

Model

p

l

Parameter estimates

Positively selected sites

Likelihood Ratio Test

M0:one ratio

1

-11903.5

ω = 0.0418

none

 

Site-specific models

     

   M1:neutral (K = 2)

1

-13195.5

p0 = 0.298, p1 = 0.702

not allowed

 

   M3:discrete (K = 2)

3

-11627.6

p0 = 0.6, p1 = 0.4, ω0 = 0.012, ω1 = 0.098

none

 

Branch-site models

     

   Branch 1

     

Model A

3

-13160.0

p0 = 0.3, p1 = 0.70, p2+p3 = 0, ω2 = 0

none

 

Model B

5

-11627.6

p0 = 0.4, p1 = 0.6, p2+p3 = 0

ω0 = 0.098, ω1 = 0.012, ω2 = 0

none

 

   Branch 2

     

Model A

3

-13188.7

p0 = 0.296, p1 = 0.688, p 2 +p 3 = 0.016, ω 2 = 129.6

Q157 (P = 0.77), Q203 (P = 0.999), T41, Q157, Y184, N200, Q203, R284 (P > 0.9)

LRT vs. M1 2Δl = 6.8, P = 0.03, df = 2

Model B

5

-11621.4

p0 = 0.356, p1 = 0.59, p 2 +p 3 = 0.05

ω0 = 0.1, ω1 = 0.0125, ω 2 = 9.7

 

LRT vs. M3 (K = 2) 2Δl = 6.2, P = 0.04, df = 2