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Models of base substitution were tested for the concatenated matrix using jModelTest v.2.1.1 [ 35, 36].
Statistical models of base errors in R7 and R7.3 Oxford Nanopore Technologies long reads.
For the whole genome comparison between Buchnera and E. coli, two null models of base composition were constructed.
Before the ML analysis, the program Modeltest 3.0 [ 40] was used to select appropriate models of base substitution and to estimate model parameters.
Wu et al. [ 13] proposed methods based on Kullback-Leibler discrepancy between frequencies of words, Mahalanobis distances and standardized Euclidean distances under Markov chain models of base composition.
In contrast, the BIC was always similar to DT with high probabilities except in simulation I-1, where DT recovered fewer models of base category.
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Physical properties of the DNA molecule of BAp were compared to those of E. coli using the global and local null models of base-composition as references (see Methods section).
The alignment was examined with maximum-likelihood (ML) using a general-time reversible (GTR) model of base substitutions that incorporated invariable sites and a discrete gamma distribution with eight rate categories (GTR + I + Gamma model).
The model of base substitution including transition/transversion rates among codons was adopted from Nielsen and Yang [ 20].
Several authors (e.g. [ 2- 4]) pointed out that these equalities could potentially be used to test the fitness of the model of base change.
For the Bayesian analysis, we used the program MrModeltest 2.2 [ 42] to select an appropriate model of base substitution for each gene partition.
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