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Germline mutation rates have been found to be higher in males than in females in many organisms, a likely consequence of cell division being more frequent in spermatogenesis than in oogenesis. If the majority of mutations are due to DNA replication error, the male-to-female mutation rate ratio (alpha(m)) is expected to be similar to the ratio of the number of germ line cell divisions in males and females (c), an assumption that can be tested with proper estimates of alpha(m) and c. Alpha(m) is usually estimated by comparing substitution rates in putatively neutral sequences on the sex chromosomes. However, substantial regional variation in substitution rates across chromosomes may bias estimates of alpha(m) based on the substitution rates of short sequences. To investigate regional substitution rate variation, we estimated sequence divergence in 16 gametologous introns located on the Z and W chromosomes of five bird species of the order Galliformes. Intron ends and potentially conserved blocks were excluded to reduce the effect of using sequences subject to negative selection. We found significant substitution rate variation within Z chromosome (G15 = 37.6, p = 0.0010) as well as within W chromosome introns (G15 = 44.0, p = 0.0001). This heterogeneity also affected the estimates of alpha(m), which varied significantly, from 1.53 to 3.51, among the introns (ANOVA: F(13,14) = 2.68, p = 0.04). Our results suggest the importance of using extensive data sets from several genomic regions to avoid the effects of regional mutation rate variation and to ensure accurate estimates of alpha(m).

Regional biases in substitution pattern are likely to be responsible for the large-scale variation in base composition observed in vertebrate genomes. However, the evolutionary forces responsible for these biases are still not clearly defined. In order to study the processes of mutation and fixation across the entire human genome, we analyzed patterns of substitution in Alu repeats since their insertion. We also studied patterns of human polymorphism within the repeats. There is a highly significant effect of recombination rate on the pattern of substitution, whereas no such effect is seen on the pattern of polymorphism. These results suggest that regional biases in substitution are caused by biased gene conversion, a process that increases the probability of fixation of mutations that increase GC content. Furthermore, the strongest correlate of substitution patterns is found to be male recombination rates rather than female or sex-averaged recombination rates. This indicates that in addition to sexual dimorphism in recombination rates, the sexes also differ in the relative rates of crossover and gene conversion.

The vast majority of the mammalian genome does not code for proteins, and a fundamental question in genomics is: What proportion of the noncoding mammalian genome is functional? Most attempts to address this issue use sequence comparisons between highly diverged mammals such as human and mouse to identify conservation due to negative selection. But such comparisons will underestimate the true proportion of functional noncoding DNA if there is turnover, if patterns of negative selection change over time. Here we test whether the inferred level of negative selection differs between different pairwise species comparisons. Using a multiple alignment of more than a megabase of contiguous sequence from eight mammalian species, we find a strong negative relationship between inferred levels of negative selection and pairwise divergence using 21 pairwise comparisons. This result suggests that there is a high rate of turnover of functional noncoding elements in the mammalian genome, so measures of functional constraint based on human-mouse comparisons may seriously underestimate the true value.

To investigate mutation-rate variation between autosomes and sex chromosomes in the avian genome, we have analyzed divergence between chicken (Gallus gallus) and turkey (Meleagris galopavo) sequences from 33 autosomal, 28 Z-linked, and 14 W-linked introns with a total ungapped alignment length of approximately 43,000 bp. There are pronounced differences in the mean divergence among autosomes and sex chromosomes (autosomes [A] = 10.08%, Z chromosome = 10.99%, and W chromosome = 5.74%), and we use these data to estimate the male-to-female mutation-rate ratio (alpha(m)) from Z/A, Z/W, and A/W comparisons at 1.71, 2.37, and 2.52, respectively. Because the alpha(m) estimates of the three comparisons do not differ significantly, we find no statistical support for a specific reduction in the Z chromosome mutation rate (Z reduction estimated at 4.89%, P = 0.286). The idea of mutation-rate reduction in the sex chromosome hemizygous in one sex (i.e., X in mammals, Z in birds) has been suggested on the basis of theory on adaptive mutation-rate evolution. If it exists in birds, the effect would, thus, seem to be weak; a preliminary power analysis suggests that it is significantly less than 18%. Because divergence may vary within chromosomal classes as a result of variation in mutation and/or selection, we developed a novel double-bootstrapping method, bootstrapping both by introns and sites from concatenated alignments, to estimate confidence intervals for chromosomal class rates and for alpha(m). The narrowest interval for the alpha(m) estimate is 1.88 to 2.97 from the Z/W comparison. We also estimated alpha(m) using maximum likelihood on data from all three chromosome classes; this method yielded alpha(m) = 2.47 and approximate 95% confidence intervals of 2.27 to 2.68. Our data are broadly consistent with the idea that mutation-rate differences between chromosomal classes can be explained by the male mutation bias alone.

Recent advances in the large-scale sequencing of mammalian genomes have provided a means to study divergence in not only genic sequences but also in the non-coding bulk of DNA. There is evidence of significant variation in the levels of divergence between presumably neutral regions, pointing at an underlying variation in the rate of mutation across the genome. Apparently, such variation occurs on different scales, including sequence context effects (the influence of neighboring nucleotides on the rate of mutation at individual sites), variation within chromosomes (on the scales of kilobases as well as megabases), and between chromosomes (among autosomes as well as between autosomes and sex chromosomes). An important aspect for further research in this area is to study whether there is an ultimate evolutionary explanation for mutation rate variation within mammalian genomes.

A DNA mutation in a protein coding gene which causes an amino acid change can be classified as "conservative" or "radical" depending on the magnitude of the physicochemical difference between the two amino acids: radical mutations involve larger changes than conservative mutations. Here, I examine two key issues in determining whether radical and conservative substitution rates are useful statistics in molecular evolution. The first issue is whether such rates can be estimated reliably, and for this purpose I demonstrate considerable improvements achieved by simple modifications to an existing method. The second issue is whether conservative and radical substitution rates can tell us something about selection on protein function. I address this problem by estimating positive and negative selection on conservative and radical mutations using polymorphism and divergence data from Drosophila. These analyses show that negative selection, but not positive selection, differs significantly between conservative and radical mutations. The power of conservative and radical substitution rates in testing the nearly neutral theory of molecular evolution is illustrated by the analysis of two mammalian datasets.

If DNA replication is a major cause of mutation, then those life-history characters, which are expected to affect the number of male germline cell divisions, should also affect the male to female mutation bias (alpha(m)). We tested this hypothesis by comparing several clades of bird species, which show variation both in suitable life-history characters (generation time as measured by age at first breeding and sexual selection as measured by frequency of extrapair paternity) and in alpha(m), which was estimated by comparing Z-linked and W-linked substitution rates in gametologous introns. Alpha(m) differences between clades were found to positively covary with both generation time and sexual selection, as expected if DNA replication causes mutation. The effects of extrapair paternity frequency on alpha(m) suggests that increased levels of sexual selection cause higher mutation rates, which offers an interesting solution to the paradox of the loss of genetic variance associated with strong directional sexual selection. We also used relative rate tests to examine whether the observed differences in alpha(m) between clades were due to differences in W-linked or Z-linked substitution rates. In one case, a significant difference in alpha(m) between two clades was shown to be due to W-linked rates and not Z-linked rates, a result that suggests that mutation rates are not determined by replication alone.

We have used analysis of variance to partition the variation in synonymous and amino acid substitution rates between three effects (gene, lineage, and a gene-by-lineage interaction) in mammalian nuclear and mitochondrial genes. We find that gene effects are stronger for amino acid substitution rates than for synonymous substitution rates and that lineage effects are stronger for synonymous substitution rates than for amino acid substitution rates. Gene-by-lineage interactions, equivalent to overdispersion corrected for lineage effects, are found in amino acid substitutions but not in synonymous substitutions. The variance in the ratio of amino acid and synonymous substitution rates is dominated by gene effects, but there is also a significant gene-by-lineage interaction.

The occurrence of double-nucleotide (doublet) mutations is contrary to the normal assumption that point mutations affect single nucleotides. Here we develop a new method for estimating the doublet mutation rate and apply it to more than a megabase of human-chimpanzee-baboon genomic DNA alignments and more than a million human single-nucleotide polymorphisms. The new method accounts for the effect of regional variation in evolutionary rates, which may be a confounding factor in previous estimates of the doublet mutation rate. Furthermore we determine sequence context effects by using sequence comparisons over a variety of lineage lengths. This approach yields a new estimate of the doublet mutation rate of 0.3% of the singleton rate, indicating that doublet mutations are far rarer than previously thought. Our results suggest that doublet mutations are unlikely to have caused the correlation between synonymous and nonsynonymous substitution rates in mammals, and also show that regional variation and sequence context effects play an important role in primate DNA sequence evolution.

The large-scale systematic variation in nucleotide composition along mammalian and avian genomes has been a focus of the debate between neutralist and selectionist views of molecular evolution. Here we test whether the compositional variation is due to mutation bias using two new tests, which do not assume compositional equilibrium. In the first test we assume a standard population genetics model, but in the second we make no assumptions about the underlying population genetics. We apply the tests to single-nucleotide polymorphism data from noncoding regions of the human genome. Both models of neutral mutation bias fit the frequency distributions of SNPs segregating in low- and medium-GC-content regions of the genome adequately, although both suggest compositional nonequilibrium. However, neither model fits the frequency distribution of SNPs from the high-GC-content regions. In contrast, a simple population genetics model that incorporates selection or biased gene conversion cannot be rejected. The results suggest that mutation biases are not solely responsible for the compositional biases found in noncoding regions.

We have attempted to quantify the frequency and effects of slightly deleterious mutations (SDMs), those that have selective effects close to the reciprocal of the effective population size of a species, by comparing the level of selective constraint in protein-coding genes of related species that have different present-day effective population sizes. In our two comparisons, the species with the smaller effective population size showed lower constraint, implying that SDMs had become fixed. The fixation of SDMs was supported by the observation of a higher fraction of radical to conservative amino acid substitutions in species with smaller effective population sizes. The fraction of strongly deleterious mutations (which rarely become fixed) is >70% in most species. Only approximately 10% or fewer of mutations seem to behave as SDMs, but SDMs could comprise a substantial fraction of mutations in protein-coding genes that have a chance of becoming fixed between species.

Murid rodents show much less variation in isochore base composition than do most other mammals, a difference which has been referred to as the murid shift. We have investigated the murid shift by asking (1) whether the murid shift is ongoing and (2) whether there is any evidence of selection or biased gene conversion affecting base composition in the present-day mouse genome. By estimating the ancestral base composition of protein-coding genes in murids we can confirm that the murid shift is ongoing. Tests using nongenic polymorphism data fail to reject the hypothesis that base composition is due to mutation bias alone. However, the patterns of compositional change suggested by the polymorphism and divergence data differ, suggesting the possibility of two murid shifts.

Most studies of microsatellite evolution utilize long, highly mutable loci, which are unrepresentative of the majority of simple repeats in the human genome. Here we use an unbiased sample of 2,467 microsatellite loci derived from alignments of 5.1 Mb of genomic sequence from human and chimpanzee to investigate the mutation process of tandemly repetitive DNA. The results indicate that the process of microsatellite evolution is highly heterogeneous, exhibiting differences between loci of different lengths and motif sizes and between species. We find a highly significant tendency for human dinucleotide repeats to be longer than their orthologues in chimpanzees, whereas the opposite trend is observed in mononucleotide repeat arrays. Furthermore, the rate of divergence between orthologues is significantly higher at longer loci, which also show significantly greater mutability per repeat number. These observations have important consequences for understanding the molecular mechanisms of microsatellite mutation and for the development of improved measures of genetic distance.

For over 30 years a central question in molecular evolution has been whether natural selection plays a substantial role in evolution at the DNA sequence level. Evidence has accumulated over the last decade that adaptive evolution does occur at the protein level, but it has remained unclear how prevalent adaptive evolution is. Here we present a simple method by which the number of adaptive substitutions can be estimated and apply it to data from Drosophila simulans and D. yakuba. We estimate that 45% of all amino-acid substitutions have been fixed by natural selection, and that on average one adaptive substitution occurs every 45 years in these species.

Natural selection favors certain synonymous codons which aid translation in Escherichia coli, yet codons not favored by translational selection persist. We use the frequency distributions of synonymous polymorphisms to test three hypotheses for the existence of translationally sub-optimal codons: (1) selection is a relatively weak force, so there is a balance between mutation, selection, and drift; (2) at some sites there is no selection on codon usage, so some synonymous sites are unaffected by translational selection; and (3) translationally sub-optimal codons are favored by alternative selection pressures at certain synonymous sites. We find that when all the data is considered, model 1 is supported and both models 2 and 3 are rejected as sole explanations for the existence of translationally sub-optimal codons. However, we find evidence in favor of both models 2 and 3 when the data is partitioned between groups of amino acids and between regions of the genes. Thus, all three mechanisms appear to contribute to the existence of translationally sub-optimal codons in E. coli.

In studies of molecular evolution, the assumption that protein evolution is reversible has often been made, but rarely tested. Here we use a large set of orthologous murid protein coding sequences to perform a simple test of reversibility, and find no evidence to reject the assumption of reversibility in protein evolution.

Approximately two thirds of all knockouts of individual mouse genes give rise to viable fertile mice. These genes have thus been termed 'non-essential' in contrast to 'essential' genes, the knockouts of which result in death or infertility. Although non-essential genes are likely to be under selection that favours sequence conservation [1], it is predicted that they are less subject to such stabilising selection than essential genes, and hence evolve faster [2]. We have addressed this issue by analysing the molecular evolution of 108 non-essential and 67 essential genes that have been sequenced in both mouse and rat. On preliminary analysis, the non-essential genes appeared to be faster evolving than the essential ones. We found, however, that the non-essential class contains a disproportionate number of immune-system genes that may be under directional selection (that is, selection favouring change) because of host-parasite coevolution. After correction for this bias, we found that the rate at which genes evolve does not correlate with the severity of the knockout phenotype. This was corroborated by the finding that, whereas neuron-specific genes have significantly lower rates of change than other genes, essential and non-essential neuronal genes have comparable rates of evolution. Our findings most probably reflect strong selection acting against even very subtle deleterious phenotypes, and indicate that the putative involvement of directional selection in host-parasite coevolution and gene expression within the nervous system explains much more of the variance in rates of gene evolution than does the knockout phenotype.

The repeatability of patterns of variation in Ka/Ks and Ks is expected if such patterns are the result of deterministic forces. We have contrasted the molecular evolution of the mammalian insulin-like growth factor type II receptor (Igf2r) in the mouse-rat comparison with that in the human-cow comparison. In so doing, we investigate explanations for both the evolution of genomic imprinting and for Ks variation (and hence putatively for mutation rate evolution). Previous analysis of Igf2r, in the mouse-rat comparison, found Ka/Ks patterns that were suggested to be contrary to those expected under the conflict theory of imprinting. We find that Ka/Ks variation is repeatable and hence confirm these patterns. However, we also find that the molecular evolution of Igf2r signal sequences suggests that positive selection, and hence conflict, may be affecting this region. The variation in Ks across Igf2r is also repeatable. To the best of our knowledge this is the first demonstration of such repeatability. We consider three explanations for the variation in Ks across the gene: (1) that it is the result of mutational biases, (2) that it is the result of selection on the mutation rate, and (3) that it is the product of selection on codon usage. Explanations 2 and 3 predict a Ka-Ks correlation, which is not found. Explanation 3 also predicts a negative correlation between codon bias and Ks, which is also not found. However, in support of explanation 1 we do find that in rodents the rate of silent C --> T mutations at CpG sites does covary with Ks, suggesting that methylation-induced mutational patterns can explain some of the variation in Ks. We find evidence to suggest that this CpG effect is due to both variation in CpG density, and to variation in the frequency with which CpGs mutate. Interestingly, however, a GC4 analysis shows no covariance with Ks, suggesting that to eliminate methyl-associated effects CpG rates themselves must be analyzed. These results suggest that, in contrast to previous studies of intragenic variation, Ks patterns are not simply caused by the same forces responsible for Ka/Ks correlations.