Estimate of the mutation rate per nucleotide in humans

Many previous estimates of the mutation rate in humans have relied on screens of visible mutants. We investigated the rate and pattern of mutations at the nucleotide level by comparing pseudogenes in humans and chimpanzees to (i) provide an estimate of the average mutation rate per nucleotide, (ii) assess heterogeneity of mutation rate at different sites and for different types of mutations, (iii) test the hypothesis that the X chromosome has a lower mutation rate than autosomes, and (iv) estimate the deleterious mutation rate. Eighteen processed pseudogenes were sequenced, including 12 on autosomes and 6 on the X chromosome. The average mutation rate was estimated to be approximately 2.5 x 10(-8) mutations per nucleotide site or 175 mutations per diploid genome per generation. Rates of mutation for both transitions and transversions at CpG dinucleotides are one order of magnitude higher than mutation rates at other sites. Single nucleotide substitutions are 10 times more frequent than length mutations. Comparison of rates of evolution for X-linked and autosomal pseudogenes suggests that the male mutation rate is 4 times the female mutation rate, but provides no evidence for a reduction in mutation rate that is specific to the X chromosome. Using conservative calculations of the proportion of the genome subject to purifying selection, we estimate that the genomic deleterious mutation rate (U) is at least 3. This high rate is difficult to reconcile with multiplicative fitness effects of individual mutations and suggests that synergistic epistasis among harmful mutations may be common.     

The role of background selection in shaping patterns of molecular evolution and variation: evidence from variability on the Drosophila X chromosome

In the putatively ancestral population of Drosophila melanogaster, the ratio of silent DNA sequence diversity for X-linked loci to that for autosomal loci is approximately one, instead of the expected "null" value of 3/4. One possible explanation is that background selection (the hitchhiking effect of deleterious mutations) is more effective on the autosomes than on the X chromosome, because of the lack of crossing over in male Drosophila. The expected effects of background selection on neutral variability at sites in the middle of an X chromosome or an autosomal arm were calculated for different models of chromosome organization and methods of approximation, using current estimates of the deleterious mutation rate and distributions of the fitness effects of deleterious mutations. The robustness of the results to different distributions of fitness effects, dominance coefficients, mutation rates, mapping functions, and chromosome size was investigated. The predicted ratio of X-linked to autosomal variability is relatively insensitive to these variables, except for the mutation rate and map length. Provided that the deleterious mutation rate per genome is sufficiently large, it seems likely that background selection can account for the observed X to autosome ratio of variability in the ancestral population of D. melanogaster. The fact that this ratio is much less than one in D. pseudoobscura is also consistent with the model's predictions, since this species has a high rate of crossing over. The results suggest that background selection may play a major role in shaping patterns of molecular evolution and variation.     

Sex-linked mammalian sperm proteins evolve faster than autosomal ones

X-linked genes can evolve slower or faster depending on whether most recessive, or at least partially recessive alleles are deleterious or beneficial due to their hemizygous expression in males. Molecular studies of X chromosome divergence have provided conflicting evidence for both a higher and lower rate of nucleotide substitution at both synonymous and nonsynonymous sites, depending on the nucleotide sites sampled. Using human and mouse orthologous genes, we tested the hypothesis that genes encoding male-specific sperm proteins are evolving faster on the X chromosome compared with autosomes. X-linked sperm proteins have an average nonsynonymous mutation rate almost twice as high as sperm genes found on autosomes, unlike other tissue-specific genes, where no significant difference in the nonsynonymous mutation rate between the X chromosome and autosomes was found. However, no difference was found in the average synonymous mutation rate of X-linked versus autosomal sperm proteins, which along with corresponding higher values of Ka/Ks in X-linked sperm proteins suggest that differences in selective forces and not mutation rates are the underlying cause of higher X-linked mammalian sperm protein divergence.     

Genic mutation rates in mammals: local similarity,chromosomal heterogeneity,and X-versus-autosome disparity

The reduction of mutation rates on the mammalian X chromosome relative to autosomes is most often explained in the literature as evidence of male-driven evolution. This hypothesis attributes lowered mutation rates on the X chromosome to the fact that this chromosome spends less time in the germline of males than in the germline of females. In contrast to this majority view, two articles argued that the patterns of mutation rates across chromosomes are inconsistent with male-driven evolution. One article reported a 40% reduction in synonymous substitution rates (Ks) for X-linked genes relative to autosomes in the mouse-rat lineage. The authors argued that this reduction is too dramatic to be explained by male-driven evolution and concluded that selection has systematically reduced mutation rate on the X chromosome to a level optimal for this male-hemizygous chromosome. More recently, a second article found that chromosomal mutation rates in both the human-mouse and mouse-rat lineages were so heterogeneous that the X chromosome was not an outlier. Here again, the authors argued that this is at odds with male-driven evolution and suggested that selection has modulated chromosomal mutation rates to locally optimal levels, thus extending the argument of the first mentioned article to include autosomes. Here, we reexamine these conclusions using mouse-rat and human-mouse coding-region data. We find a more modest reduction of Ks on the X chromosome, but our results contradict the finding that the X chromosome is not distinct from autosomes. Multiple statistical tests show that Ks rates on the X chromosome differ systematically from the autosomes in both lineages. We conclude that the moderate reduction of mutation rate on the X chromosome of both lineages is consistent with male-driven evolution; however, the large variance in mutation rates across chromosomes suggests that mutation rates are affected by additional factors besides male-driven evolution. Investigation of mutation rates by synteny reveals that synteny blocks, rather than entire chromosomes, might represent the unit of mutation rate variation.     

Masculinization of the X Chromosome in the Pea Aphid

Evolutionary theory predicts that sexually antagonistic mutations accumulate differentially on the X chromosome and autosomes in species with an XY sex-determination system, with effects (masculinization or feminization of the X) depending on the dominance of mutations. Organisms with alternative modes of inheritance of sex chromosomes offer interesting opportunities for studying sexual conflicts and their resolution, because expectations for the preferred genomic location of sexually antagonistic alleles may differ from standard systems. Aphids display an XX/X0 system and combine an unusual inheritance of the X chromosome with the alternation of sexual and asexual reproduction. In this study, we first investigated theoretically the accumulation of sexually antagonistic mutations on the aphid X chromosome. Our results show that i) the X is always more favourable to the spread of male-beneficial alleles than autosomes, and should thus be enriched in sexually antagonistic alleles beneficial for males, ii) sexually antagonistic mutations beneficial for asexual females accumulate preferentially on autosomes, iii) in contrast to predictions for standard systems, these qualitative results are not affected by the dominance of mutations. Under the assumption that sex-biased gene expression evolves to solve conflicts raised by the spread of sexually antagonistic alleles, one expects that male-biased genes should be enriched on the X while asexual female-biased genes should be enriched on autosomes. Using gene expression data (RNA-Seq) in males, sexual females and asexual females of the pea aphid, we confirm these theoretical predictions. Although other mechanisms than the resolution of sexual antagonism may lead to sex-biased gene expression, we argue that they could hardly explain the observed difference between X and autosomes. On top of reporting a strong masculinization of the aphid X chromosome, our study highlights the relevance of organisms displaying an alternative mode of sex chromosome inheritance to understanding the forces shaping chromosome evolution.     

An unusually low microsatellite mutation rate in Dictyostelium discoideum, an organism with unusually abundant microsatellites

The genome of the social amoeba Dictyostelium discoideum is known to have a very high density of microsatellite repeats, including thousands of triplet microsatellite repeats in coding regions that apparently code for long runs of single amino acids. We used a mutation accumulation study to see if unusually high microsatellite mutation rates contribute to this pattern. There was a modest bias toward mutations that increase repeat number, but because upward mutations were smaller than downward ones, this did not lead to a net average increase in size. Longer microsatellites had higher mutation rates than shorter ones, but did not show greater directional bias. The most striking finding is that the overall mutation rate is the lowest reported for microsatellites: approximately 1 x 10(-6) for 10 dinucleotide loci and 6 x 10(-6) for 52 trinucleotide loci (which were longer). High microsatellite mutation rates therefore do not explain the high incidence of microsatellites. The causal relation may in fact be reversed, with low mutation rates evolving to protect against deleterious fitness effects of mutation at the numerous microsatellites.     

Muller's ratchet and the degeneration of Y chromosomes: a simulation study

A typical pattern in sex chromosome evolution is that Y chromosomes are small and have lost many of their genes. One mechanism that might explain the degeneration of Y chromosomes is Muller's ratchet, the perpetual stochastic loss of linkage groups carrying the fewest number of deleterious mutations. This process has been investigated theoretically mainly for asexual, haploid populations. Here, I construct a model of a sexual population where deleterious mutations arise on both X and Y chromosomes. Simulation results of this model demonstrate that mutations on the X chromosome can considerably slow down the ratchet. On the other hand, a lower mutation rate in females than in males, background selection, and the emergence of dosage compensation are expected to accelerate the process.     

Reduced X-linked rare polymorphism in males in comparison to females of Drosophila melanogaster

Natural selection is assumed to act more strongly on X-linked loci than on autosomal loci because the fitness effect of a recessive mutation on the X chromosome is fully expressed in hemizygous males. Therefore, selection is expected to fix or remove recessive mutations on the X chromosome more efficiently than those on autosomes. However, the assumption that hemizygosity of the X chromosome selectively accelerates changes in allele frequency has not been confirmed directly. To examine this assumption, we investigated current natural selection on X-linked chemoreceptor genes in a natural population of Drosophila melanogaster by comparing nucleotide diversity, linkage disequilibrium (LD), and departure from the neutrality in 4 chemoreceptor genes on 100 X chromosomes each from female and male flies. The general pattern of nucleotide diversity and LD for the genes investigated was similar in females and males. In contrast, males harbored significantly fewer rare polymorphisms defined as singletons and doubletons. When all the gene sequences were concatenated, Tajima's D showed a significant departure from the neutrality in both females and males, whereas Fu and Li's F* value revealed departure only in males. These results suggest that some rare polymorphisms on the X chromosome from females are recessively deleterious and are removed by stronger purifying selection when transferred to hemizygous males.     

The rate of mutation and the homozygous and heterozygous mutational effects for competitive viability: a long-term experiment with Drosophila melanogaster

The effect of 250 generations of mutation accumulation (MA) on the second chromosome competitive viability of Drosophila melanogaster was analyzed both in homozygous and heterozygous conditions. We used full-sib MA lines, where selection hampers the accumulation of severely deleterious mutations but is ineffective against mildly deleterious ones. A large control population was simultaneously evaluated. Competitive viability scores, unaffected by the expression of mutations in heterozygosis, were obtained relative to a Cy/L(2) genotype. The rate of decline in mean DeltaM approximately 0.1% was small. However, that of increase in variance DeltaV approximately 0.08 x 10(-3) was similar to the values obtained in previous experiments when severely deleterious mutations were excluded. The corresponding estimates of the mutation rate lambda > or = 0.01 and the average effect of mutations E(s) < or = 0.08 are in good agreement with Bateman-Mukai and minimum distance estimates for noncompetitive viability obtained from the same MA lines after 105 generations. Thus, competitive and noncompetitive viability show similar mutational properties. The regression estimate of the degree of dominance for mild-to-moderate deleterious mutations was approximately 0.3, suggesting that the pertinent value for new unselected mutations should be somewhat smaller.     

Female-to-Male Breeding Ratio in Modern Humans—an Analysis Based on Historical Recombinations

Was the past genetic contribution of women and men to the current human population equal? Was polygyny (excess of breeding women) present among hominid lineages? We addressed these questions by measuring the ratio of population recombination rates between the X chromosome and the autosomes, ρ_X/ρ_A. The X chromosome recombines only in female meiosis, whereas autosomes undergo crossovers in both sexes; thus, ρ_X/ρ_A reflects the female-to-male breeding ratio, β. We estimated β from ρ_X/ρ_A inferred from genomic diversity data and calibrated with recombination rates derived from pedigree data. For the HapMap populations, we obtained β of 1.4 in the Yoruba from West Africa, 1.3 in Europeans, and 1.1 in East Asian samples. These values are consistent with a high prevalence of monogamy and limited polygyny in human populations. More mutations occur during male meiosis as compared to female meiosis at the rate ratio referred to as α. We show that at α ≠ 1, the divergence rates and genetic diversities of the X chromosome relative to the autosomes are complex functions of both α and β, making their independent estimation difficult. Because our estimator of β does not require any knowledge of the mutation rates, our approach should allow us to dissociate the effects of α and β on the genetic diversity and divergence rate ratios of the sex chromosomes to the autosomes.     

Evidence for widespread positive and purifying selection across the European rabbit (Oryctolagus cuniculus) genome

The nearly neutral theory of molecular evolution predicts that the efficacy of both positive and purifying selection is a function of the long-term effective population size (N(e)) of a species. Under this theory, the efficacy of natural selection should increase with N(e). Here, we tested this simple prediction by surveying ~1.5 to 1.8 Mb of protein coding sequence in the two subspecies of the European rabbit (Oryctolagus cuniculus algirus and O. c. cuniculus), a mammal species characterized by high levels of nucleotide diversity and N(e) estimates for each subspecies on the order of 1 × 10(6). When the segregation of slightly deleterious mutations and demographic effects were taken into account, we inferred that >60% of amino acid substitutions on the autosomes were driven to fixation by positive selection. Moreover, we inferred that a small fraction of new amino acid mutations (<4%) are effectively neutral (defined as 0 < N(e)s < 1) and that this fraction was negatively correlated with a gene's expression level. Consistent with models of recurrent adaptive evolution, we detected a negative correlation between levels of synonymous site polymorphism and the rate of protein evolution, although the correlation was weak and nonsignificant. No systematic X chromosome-autosome difference was found in the efficacy of selection. For example, the proportion of adaptive substitutions was significantly higher on the X chromosome compared with the autosomes in O. c. algirus but not in O. c. cuniculus. Our findings support widespread positive and purifying selection in rabbits and add to a growing list of examples suggesting that differences in N(e) among taxa play a substantial role in determining rates and patterns of protein evolution.     

Natural selection at linked sites in humans

Theoretical and empirical work indicates that patterns of neutral polymorphism can be affected by linked, selected mutations. Under background selection, deleterious mutations removed from a population by purifying selection cause a reduction in linked neutral diversity. Under genetic hitchhiking, the rise in frequency and fixation of beneficial mutations also reduces the level of linked neutral polymorphism. Here we review the evidence that levels of neutral polymorphism in humans are affected by selection at linked sites. We then discuss four approaches for distinguishing between background selection and genetic hitchhiking based on (i) the relationship between polymorphism level and recombination rate for neutral loci with high mutation rates, (ii) relative levels of variation on the X chromosome and the autosomes, (iii) the frequency distribution of neutral polymorphisms, and (iv) population-specific patterns of genetic variation. Although the evidence for selection at linked sites in humans is clear, current methods and data do not allow us to clearly assess the relative importance of background selection and genetic hitchhiking in humans. These results contrast with those obtained for Drosophila, where the signals of positive selection are stronger.     

Male-Biased Mutation Rates Revealed from Z and W Chromosome-Linked ATP Synthase α-Subunit (ATP5A1) Sequences in Birds

Whether the mutation rate differs between sexes has been a matter of discussion for years. Molecular analyses of mammals have indicated that males mutate more often than females, as manifested by the faster rate of neutral sequence evolution on the Y chromosome than on the X chromosome. However, these observations can as well be interpreted as specific reduction of the X chromosome mutation rate, which would be adaptive because of reducing the number of slightly deleterious recessive mutations exposed in hemizygote males. Recently, data from birds have suggested that vertebrate mutation rates may indeed be male-biased. In birds, females are the heterogametic sex (ZW), and analyses of the Z-linked CHD1Z gene have shown that it evolves faster than its W-linked and thus female-specific homologue, CHD1W. We have now studied the second avian gene known to exist in a copy on the nonrecombining regions of both the Z and the W chromosome, viz., the ATP synthase α-subunit (ATP5A1). In independent comparisons of three pairs of bird species from divergent lineages, intron sequences of the Z-linked copy (ATP5A1Z) were consistently found to evolve faster than the W-linked copy (ATP5A1W). From these data we calculated male-to-female mutation rate ratios (α) of 1.8, 2.3, and 5.0 in Galliform, Anseriform, and Ciconiiform lineages, respectively. Therefore, this study provides independent support for a male-biased mutation rate in birds. Received: 15 July 1999 / Accepted: 5 January 2000     

Contrasting the efficacy of selection on the X and autosomes in Drosophila

To investigate the relative efficacy of both positive and purifying natural selection on the X chromosome and the autosomes in Drosophila, we compared rates and patterns of molecular evolution between these chromosome sets using the newly available alignments of orthologous genes from 12 species. Parameters that may influence the relative X versus autosomal substitution rates include the relative effective population sizes, the male and female germline mutation rates, the distribution of allelic effects on fitness, and the degree of dominance of novel mutations. Our analysis reveals that codon usage bias is consistently greater for X-linked genes, suggesting that purifying selection consistently has greater efficacy on the X chromosome than on the autosomes across the Drosophila phylogeny. However, our results are less consistent with respect to the efficacy of positive selection, with only some lineages showing a higher substitution rate on the X chromosome. This suggests that either the distribution of selective effects of mutations or other relevant parameters are sufficiently variable across species to tip the balance in different ways in individual lineages. These data suggest that rates of substitution are not solely governed by adaptive evolution. This genome-wide analysis provides a clear picture that the efficacy of selection varies intragenomically and that this effect is markedly more consistent across the phylogeny in the case of purifying selection. Our results also suggest that simple models that predict systematic differences in rates of evolution between the X and the autosomes can only be made to be compatible with these Drosophila data if the relevant population genetic parameters that drive substitution rates differ among species and chromosomal contexts.     

A neutral theory predicts multigenic aging and increased concentrations of deleterious mutations on the mitochondrial and Y chromosomes

Population genetic forces have molded the constitution of the human genome over evolutionary time, and some of the most important parameters are the initial frequency of the allele, p, the effective population size, Ne, and the selection coefficient, s. There is considerable agreement among evolutionary gerontologists that the amplitude of -s is small for alleles that are Deleterious In Late Life (DILL), and thus DILL traits are effectively neutral and should be fixed in the human population in relationship to Ne and p. Even higher rates of fixation of deleterious mutations are predicted to occur in the two nonrecombinant genomes in humans, i.e., the Y chromosome and the mitochondrial genome, as a consequence of their lower Ne than autosomes, and the predicted higher rate of fixation of deleterious alleles on the Y may explain the reduced average life span of males vs. females. The high probability of fixation of neutral and mildly deleterious mutations in the mitochondrial genome explains in part its fast rate of evolution, the high observed frequency of mitochondrial disease in relationship to this genome's small size, and may be the underlying reason for the transfer of mitochondrial genes over evolutionary time to the nucleus. The predicted higher concentration of deleterious mutations on the mitochondrial genome could have some leverage to cause more dysfunction than that predicted by mitochondrial gene number alone, because of the essential role of mitochondrial gene function in multisubunit complexes, the coupling of mitochondrial functions, the observation that some mtDNA sequences facilitate somatic mutation, and the likelihood of deleterious mutations either increasing the production of or the sensitivity to mitochondrial ROS.     

On the increase of chromosome mutations under random mating.

After a short introduction on karyotypes and chromosome mutations, we review the ways by which a chromosome mutation can increase in a random mating population, despite the mutation's deleterious effect on the fertility of heterozygotes. Random drift, segregation distortion, viability advantage, and recombination modification are the mechanisms considered. When possible, the models are illustrated with examples of chromosome mutations involving autosomes in mammals, but the arguments apply, of course, to any genetic factor in any outbreeding species that causes a fertility decrease in heterozygotes.     

Recombination, dominance and selection on amino acid polymorphism in the Drosophila genome: contrasting patterns on the X and fourth chromosomes

Surveys of nucleotide polymorphism and divergence indicate that the average selection coefficient on Drosophila proteins is weakly positive. Similar surveys in mitochondrial genomes and in the selfing plant Arabidopsis show that weak negative selection has operated. These differences have been attributed to the low recombination environment of mtDNA and Arabidopsis that has hindered adaptive evolution through the interference effects of linkage. We test this hypothesis with new sequence surveys of proteins lying in low recombination regions of the Drosophila genome. We surveyed >3800 bp across four proteins at the tip of the X chromosome and >3600 bp across four proteins on the fourth chromosome in 24 strains of D. melanogaster and 5 strains of D. simulans. This design seeks to study the interaction of selection and linkage by comparing silent and replacement variation in semihaploid (X chromosome) and diploid (fourth chromosome) environments lying in regions of low recombination. While the data do indicate very low rates of exchange, all four gametic phases were observed both at the tip of the X and across the fourth chromosome. Silent variation is very low at the tip of the X (thetaS = 0.0015) and on the fourth chromosome (thetaS = 0.0002), but the tip of the X shows a greater proportional loss of variation than the fourth shows relative to normal-recombination regions. In contrast, replacement polymorphism at the tip of the X is not reduced (thetaR = 0.00065, very close to the X chromosome average). MK and HKA tests both indicate a significant excess of amino acid polymorphism at the tip of the X relative to the fourth. Selection is significantly negative at the tip of the X (Nes = -1.53) and nonsignificantly positive on the fourth (Nes approximately 2.9), analogous to the difference between mtDNA (or Arabidopsis) and the Drosophila genome average. Our distal X data are distinct from regions of normal recombination where the X shows a deficiency of amino acid polymorphism relative to the autosomes, suggesting more efficient selection against recessive deleterious replacement mutations. We suggest that the excess amino acid polymorphism on the distal X relative to the fourth chromosome is due to (1) differences in the mutation rate for selected mutations on the distal X or (2) a greater relaxation of selection from stronger linkage-related interference effects on the distal X. This relaxation of selection is presumed to be greater in magnitude than the difference in efficiency of selection between X-linked vs. autosomal selection.     

Selection on a modifier of recombination rate due to linked deleterious mutations

Several models have been suggested to explain the origin and maintenance of recombination. Here I present the results from computer simulations of multilocus haploid and diploid genotypes in small populations. Each chromosome consisted of 1001 loci where deleterious mutations occurred. At "equilibrium" for mutation-selection-genetic drift balance a single recombination variant was introduced to the population in the middle of a chromosome. On average 75,000 replicates for each combination of parameters were followed to fixation or loss of the modifier allele. The results show that, in a small population, increased recombination can be selected, even in the absence of epistasis or beneficial mutations. The effect of the mutation rate for deleterious mutations depends on the ploidy level and the recessiveness of deleterious mutations. A higher deleterious mutation rate is required for an increase in recombination rate to be favored in haploid populations. Increased recombination could not evolve in the case of strong associative overdominance.     

THE GENOMIC LOCATION OF SEXUALLY ANTAGONISTIC VARIATION: SOME CAUTIONARY COMMENTS

Sexually antagonistic polymorphisms are polymorphisms in which the allele that is advantageous in one sex is deleterious in the other sex. In an influential 1984 paper, W. Rice hypothesized that such polymorphisms should be relatively common on the X chromosome (or on the W in female‐heterogametic species) but relatively rare on the autosomes. Here, I show that there are plausible assumptions under which the reverse is expected to be true, and point out recent studies that give evidence for sexually antagonistic variation on the autosomes. Although more work is needed to resolve the issue, it is premature to conclude that the X chromosome is a “hot spot” for the accumulation of sexually antagonistic variation.