Analysis of among-site variation in substitution patterns.

Substitution patterns among nucleotides are often assumed to be constant in phylogenetic analyses. Although variation in the average rate of substitution among sites is commonly accounted for, variation in the relative rates of specific types of substitution is not. Here, we review details of methodologies used for detecting and analyzing differences in substitution processes among predefined groups of sites. We describe how such analyses can be performed using existing phylogenetic tools, and discuss how new phylogenetic analysis tools we have recently developed can be used to provide more detailed and sensitive analyses, including study of the evolution of mutation and substitution processes. As an example we consider the mitochondrial genome, for which two types of transition deaminations (C-->T and A-->G) are strongly affected by single-strandedness during replication, resulting in a strand asymmetric mutation process. Since time spent single-stranded varies along the mitochondrial genome, their differential mutational response results in very different substitution patterns in different regions of the genome.

Detecting gradients of asymmetry in site-specific substitutions in mitochondrial genomes.

During mitochondrial replication, spontaneous mutations occur and accumulate asymmetrically during the time spent single stranded by the heavy strand (DssH). The predominant mutations appear to be deaminations from adenine to hypoxanthine (A --> H, which leads to an A --> G substitution) and cytosine to thymine (C --> T). Previous findings indicated that C --> T substitutions accumulate rapidly and then saturate at high DssH, suggesting protection or repair, whereas A --> G accumulates linearly with DssH. We describe here the implementation of a simple hidden Markov model (HMM) of among-site rate correlations to provide an almost continuous profile of the asymmetry in substitution response for any particular substitution type. We implement this model using a phylogeny-based Bayesian Markov chain Monte Carlo (MCMC) approach. We compare and contrast the relative asymmetries in all 12 possible substitution types, and find that the observed transition substitution responses determined using our new method agree quite well with previous predictions of a saturating curve for C --> T transition substitutions and a linear accumulation of A --> G transitions. The patterns seen in transversion substitutions show much lower among-site variation, and are nonlinear and more complex than those seen in transitions. We also find that, after accounting for the principal linear effect, some of the residual variation in A --> G/G --> A response ratios is explained by the average predicted nucleic acid secondary structure propensity at a site, possibly due to protection from mutation when secondary structure forms.

Evolution of base-substitution gradients in primate mitochondrial genomes.

Inferences of phylogenies and dates of divergence rely on accurate modeling of evolutionary processes; they may be confounded by variation in substitution rates among sites and changes in evolutionary processes over time. In vertebrate mitochondrial genomes, substitution rates are affected by a gradient along the genome of the time spent being single-stranded during replication, and different types of substitutions respond differently to this gradient. The gradient is controlled by biological factors including the rate of replication and functionality of repair mechanisms; little is known, however, about the consistency of the gradient over evolutionary time, or about how evolution of this gradient might affect phylogenetic analysis. Here, we evaluate the evolution of response to this gradient in complete primate mitochondrial genomes, focusing particularly on A-->G substitutions, which increase linearly with the gradient. We developed a methodology to evaluate the posterior probability densities of the response parameter space, and used likelihood ratio tests and mixture models with different numbers of classes to determine whether groups of genomes have evolved in a similar fashion. Substitution gradients usually evolve slowly in primates, but there have been at least two large evolutionary jumps: on the lineage leading to the great apes, and a convergent change on the lineage leading to baboons (Papio). There have also been possible convergences at deeper taxonomic levels, and different types of substitutions appear to evolve independently. The placements of the tarsier and the tree shrew within and in relation to primates may be incorrect because of convergence in these factors.