The probability of preservation of a newly arisen gene duplicate.

Newly emerging data from genome sequencing projects suggest that gene duplication, often accompanied by genetic map changes, is a common and ongoing feature of all genomes. This raises the possibility that differential expansion/contraction of various genomic sequences may be just as important a mechanism of phenotypic evolution as changes at the nucleotide level. However, the population-genetic mechanisms responsible for the success vs. failure of newly arisen gene duplicates are poorly understood. We examine the influence of various aspects of gene structure, mutation rates, degree of linkage, and population size (N) on the joint fate of a newly arisen duplicate gene and its ancestral locus. Unless there is active selection against duplicate genes, the probability of permanent establishment of such genes is usually no less than 1/(4N) (half of the neutral expectation), and it can be orders of magnitude greater if neofunctionalizing mutations are common. The probability of a map change (reassignment of a key function of an ancestral locus to a new chromosomal location) induced by a newly arisen duplicate is also generally >1/(4N) for unlinked duplicates, suggesting that recurrent gene duplication and alternative silencing may be a common mechanism for generating microchromosomal rearrangements responsible for postreproductive isolating barriers among species. Relative to subfunctionalization, neofunctionalization is expected to become a progressively more important mechanism of duplicate-gene preservation in populations with increasing size. However, even in large populations, the probability of neofunctionalization scales only with the square of the selective advantage. Tight linkage also influences the probability of duplicate-gene preservation, increasing the probability of subfunctionalization but decreasing the probability of neofunctionalization.     

The coalescent with selection on copy number variants

We develop a coalescent-based simulation tool to generate patterns of single nucleotide polymorphisms (SNPs) in a wide region encompassing both the original and duplicated genes. Selection on the new duplicated copy and interlocus gene conversion between the two copies are incorporated. This simulation enables us to explore how selection on duplicated copies affects the pattern of SNPs. The fixation of an advantageous duplicated copy causes a strong reduction in polymorphism not only in the duplicated copy but also in its flanking regions, which is a typical signature of a selective sweep by positive selection. After fixation, polymorphism gradually increases by accumulating neutral mutations and eventually reaches the equilibrium value if there is no gene conversion. When gene conversion is active, the number of SNPs in the duplicated copy quickly increases by transferring SNPs from the original copy; therefore, the time when we can recognize the signature of selection is decreased. Because this effect of gene conversion is restricted only to the duplicated region, more power to detect selection is expected if a flanking region to the duplicated copy is used.     

Duplication and Gene Conversion in the Drosophila melanogaster Genome

Using the genomic sequences of Drosophila melanogaster subgroup, the pattern of gene duplications was investigated with special attention to interlocus gene conversion. Our fine-scale analysis with careful visual inspections enabled accurate identification of a number of duplicated blocks (genomic regions). The orthologous parts of those duplicated blocks were also identified in the D. simulans and D. sechellia genomes, by which we were able to clearly classify the duplicated blocks into post- and pre-speciation blocks. We found 31 post-speciation duplicated genes, from which the rate of gene duplication (from one copy to two copies) is estimated to be 1.0×10⁻⁹ per single-copy gene per year. The role of interlocus gene conversion was observed in several respects in our data: (1) synonymous divergence between a duplicated pair is overall very low. Consequently, the gene duplication rate would be seriously overestimated by counting duplicated genes with low divergence; (2) the sizes of young duplicated blocks are generally large. We postulate that the degeneration of gene conversion around the edges could explain the shrinkage of “identifiable” duplicated regions; and (3) elevated paralogous divergence is observed around the edges in many duplicated blocks, supporting our gene conversion–degeneration model. Our analysis demonstrated that gene conversion between duplicated regions is a common and genome-wide phenomenon in the Drosophila genomes, and that its role should be especially significant in the early stages of duplicated genes. Based on a population genetic prediction, we applied a new genome-scan method to test for signatures of selection for neofunctionalization and found a strong signature in a pair of transporter genes.     

Large-scale genome duplications and paralog divergence in fish

Based on fish genomic studies, we review mechanisms of divergence in duplicated genes (paralogs), resulted in small (“subfunctionalization”) or large (“neofunctionalization”) changes in paralogs. Gene divergence occurs due to several processes, such as non-synonymous substitutions, exon-intron structure rearrangement, and alterations in regulatory regions, which cause differential temporal or spatial expression of paralogous gene copies during ontogenesis.     

The evolution of the adenylate-forming protein family in beetles: multiple luciferase gene paralogues in fireflies and glow-worms

Bioluminescence in beetles is dependent upon the enzyme luciferase. It has been hypothesised luciferase evolved from a fatty acyl-CoA synthetase gene deriving a novel bioluminescent function (neofunctionalization) after a gene duplication event. We evaluated this hypothesis within a phylogenetic framework using independent evidence obtained from the genome of Tribolium castaneum, published luciferase genes and novel luciferase and luciferase-like sequences. This phylogenetic study provides evidence for a large gene family of luciferase and luciferase-like paralogues in bioluminescent and non-bioluminescent beetles. All luciferase sequences formed a clade supporting a protoluciferase existing prior to the divergence of the Lampyridae, Elateridae and Phengodidae (Elateroidea). Multiple luciferase genes were identified from members of the Photurinae and the Luciolinae indicating complex gene duplication events within lampyrid genomes. The majority of luciferase residues were identified to be under purifying selection as opposed to positive selection. We conclude that beetle luciferase may have arisen from a process of subfunctionalization as opposed to neofunctionalization early on in the evolution of the Elateroidea.     

Preservation of a pseudogene by gene conversion and diversifying selection

Interlocus gene conversion is considered a crucial mechanism for generating novel combinations of polymorphisms in duplicated genes. The importance of gene conversion between duplicated genes has been recognized in the major histocompatibility complex and self-incompatibility genes, which are likely subject to diversifying selection. To theoretically understand the potential role of gene conversion in such situations, forward simulations are performed in various two-locus models. The results show that gene conversion could significantly increase the number of haplotypes when diversifying selection works on both loci. We find that the tract length of gene conversion is an important factor to determine the efficacy of gene conversion: shorter tract lengths can more effectively generate novel haplotypes given the gene conversion rate per site is the same. Similar results are also obtained when one of the duplicated genes is assumed to be a pseudogene. It is suggested that a duplicated gene, even after being silenced, will contribute to increasing the variability in the other locus through gene conversion. Consequently, the fixation probability and longevity of duplicated genes increase under the presence of gene conversion. On the basis of these findings, we propose a new scenario for the preservation of a duplicated gene: when the original donor gene is under diversifying selection, a duplicated copy can be preserved by gene conversion even after it is pseudogenized.     

High-frequency germ line gene conversion in transgenic mice.

Gene conversion is the nonreciprocal transfer of genetic information between two related genes or DNA sequences. It can influence the evolution of gene families, having the capacity to generate both diversity and homogeneity. The potential evolutionary significance of this process is directly related to its frequency in the germ line. While measurement of meiotic inter- and intrachromosomal gene conversion frequency is routine in fungal systems, it has hitherto been impractical in mammals. We have designed a system for identifying and quantitating germ line gene conversion in mice by analyzing transgenic male gametes for a contrived recombination event. Spermatids which undergo the designed intrachromosomal gene conversion produce functional beta-galactosidase (encoded by the lacZ gene), which is visualized by histochemical staining. We observed a high incidence of lacZ-positive spermatids (approximately 2%), which were produced by a combination of meiotic and mitotic conversion events. These results demonstrate that gene conversion in mice is an active recombinational process leading to nonparental gametic haplotypes. This high frequency of intrachromosomal gene conversion seems incompatible with the evolutionary divergence of newly duplicated genes. Hence, a process may exist to uncouple gene pairs from frequent conversion-mediated homogenization.     

Differential selection after duplication in mammalian developmental genes

Gene duplication provides the opportunity for subsequent refinement of distinct functions of the duplicated copies. Either through changes in coding sequence or changes in regulatory regions, duplicate copies appear to obtain new or tissue-specific functions. If this divergence were driven by natural selection, we would expect duplicated copies to have differentiated patterns of substitutions. We tested this hypothesis using genes that duplicated before the human/mouse split and whose orthologous relations were clear. The null hypothesis is that the number of amino acid changes between humans and mice was distributed similarly across different paralogs. We used a method modified from Tang and Lewontin to detect heterogeneity in the amino acid substitution pattern between those different paralogs. Our results show that many of the paralogous gene pairs appear to be under differential selection in the human/mouse comparison. The properties that led to diversification appear to have arisen before the split of the human and mouse lineages. Further study of the diverged genes revealed insights regarding the patterns of amino acid substitution that resulted in differences in function and/or expression of these genes. This approach has utility in the study of newly identified members of gene families in genomewide data mining and for contrasting the merits of alternative hypotheses for the evolutionary divergence of function of duplicated genes.     

Gene dosage and gene duplicability

The evolutionary process leading to the fixation of newly duplicated genes is not well understood. It was recently proposed that the fixation of duplicate genes is frequently driven by positive selection for increased gene dosage (i.e., the gene dosage hypothesis), because haploinsufficient genes were reported to have more paralogs than haplosufficient genes in the human genome. However, the previous analysis incorrectly assumed that the presence of dominant abnormal alleles of a human gene means that the gene is haploinsufficient, ignoring the fact that many dominant abnormal alleles arise from gain-of-function mutations. Here we show in both humans and yeast that haploinsufficient genes generally do not duplicate more frequently than haplosufficient genes. Yeast haploinsufficient genes do exhibit enhanced retention after whole-genome duplication compared to haplosufficient genes if they encode members of stable protein complexes, but the same phenomenon is absent if the genes do not encode protein complex members, suggesting that the dosage balance effect rather than the dosage effect is the underlying cause of the phenomenon. On the basis of these and other results, we conclude that selection for higher gene dosage does not play a major role in driving the fixation of duplication genes.     

The effect of gene conversion on the divergence between duplicated genes

Nonindependent evolution of duplicated genes is called concerted evolution. In this article, we study the evolutionary process of duplicated regions that involves concerted evolution. The model incorporates mutation and gene conversion: the former increases d, the divergence between two duplicated regions, while the latter decreases d. It is demonstrated that the process consists of three phases. Phase I is the time until d reaches its equilibrium value, d(0). In phase II d fluctuates around d(0), and d increases again in phase III. Our simulation results demonstrate that the length of concerted evolution (i.e., phase II) is highly variable, while the lengths of the other two phases are relatively constant. It is also demonstrated that the length of phase II approximately follows an exponential distribution with mean tau, which is a function of many parameters including gene conversion rate and the length of gene conversion tract. On the basis of these findings, we obtain the probability distribution of the level of divergence between a pair of duplicated regions as a function of time, mutation rate, and tau. Finally, we discuss potential problems in genomic data analysis of duplicated genes when it is based on the molecular clock but concerted evolution is common.     

Ohno's model revisited: measuring the frequency of potentially adaptive mutations under various mutational drifts

The divergence of new gene functions is described by various scenarios that involve gene duplication, albeit, at fundamentally different stages. We performed experimental measurements and developed a subsequent model, aimed at predicting the rate of divergence under different scenarios. We used gene libraries of TEM-1 beta-lactamase that were drifted under purifying selection toward the original penicillinase activity or under no selection at all. The frequency of genes conferring a new function (degradation of a cephalosporin antibiotic) was measured at various stages of the drift, and a model that accounts for the differences in the observed adaptation dynamics of the drifting TEM-1 populations was derived. The results indicate that rapid nonfunctionalization in the population relieved from selection (Ohno's model) afforded only a narrow window of adaptation to cefotaxime (neofunctionalization). The trade-off between TEM-1's original function and the new evolving function also disfavored the "gene sharing" model. The rate of adaptation was maximal when selection for the original function was partially relieved to enable the accumulation of potentially adaptive mutations, while still purging a large fraction of otherwise deleterious mutations. Altogether, scenarios of subfunctionalization seem more feasible, whereby sustaining the original function by two copies facilitates the accumulation potentially adaptive mutations while purging nonfunctionalization mutations.     

Population genetic models of duplicated genes

Various population genetic models of duplicated genes are introduced. The problems covered in this review include the fixation process of a duplicated copy, copy number polymorphism, the fates of duplicated genes and single nucleotide polymorphism in duplicated genes. Because of increasing evidence for concerted evolution by gene conversion, this review introduces recently developed gene conversion models. In the first half, models assuming independent evolution of duplicated genes are introduced, and then the effect of gene conversion is considered in the second half.     

FURTHER SIMULATION STUDIES ON EVOLUTION BY GENE DUPLICATION

In order to understand the origin of multigene families, Monte Carlo simulations were performed to see how a genetic system evolves under unequal crossing-over, mutation, random genetic drift and natural selection, starting from a single gene copy. Both haploid and diploid models were examined. Beneficial, neutral, and detrimental mutations were incorporated, and “positive” selection favors those chromosomes (haploid) or individuals (diploid) with more beneficial mutations than others. The same model for haploids was previously investigated with special reference to the evolution of gene organization, and the ratio of the numbers of beneficial genes to pseudogenes was found to be a rough indicator of the relative strengths of positive and negative (against deleterious alleles) natural selection (Ohta, 1987b). In the present paper, the evolution of gene organization and of sequence divergence among genes in the multigene family is examined. It is shown that positive selection accelerates the accumulation of arrays containing different beneficial mutations, but that total divergence including both neutral and beneficial mutations is not very sensitive to positive selection, under this model. The proportion of beneficial mutations in the total mutations accumulated is a better indicator of positive selection than is the total divergence. It is pointed out that various observed examples in which amino-acid substitutions are accelerated, as compared with synonymous substitutions in duplicated genes (Li, 1985), may reflect the effect of selection similar to the present scheme. The diploid model is shown to be more efficient for accumulating beneficial mutations in duplicated genes than the haploid one, and the relevance of this finding to the advantage of sexual reproduction is discussed.     

Expression pattern shifts following duplication indicative of subfunctionalization and neofunctionalization in regulatory genes of Arabidopsis

Gene duplication plays an important role in the evolution of diversity and novel function and is especially prevalent in the nuclear genomes of flowering plants. Duplicate genes may be maintained through subfunctionalization and neofunctionalization at the level of expression or coding sequence. In order to test the hypothesis that duplicated regulatory genes will be differentially expressed in a specific manner indicative of regulatory subfunctionalization and/or neofunctionalization, we examined expression pattern shifts in duplicated regulatory genes in Arabidopsis. A two-way analysis of variance was performed on expression data for 280 phylogenetically identified paralogous pairs. Expression data were extracted from global expression profiles for wild-type root, stem, leaf, developing inflorescence, nearly mature flower buds, and seedpod. Gene, organ, and gene by organ interaction (G x O) effects were examined. Results indicate that 85% of the paralogous pairs exhibited a significant G x O effect indicative of regulatory subfunctionalization and/or neofunctionalization. A significant G x O effect was associated with complementary expression patterns in 45% of pairwise comparisons. No association was detected between a G x O effect and a relaxed evolutionary constraint as detected by the ratio of nonsynonymous to synonymous substitutions. Ancestral gene expression patterns inferred across a Type II MADS-box gene phylogeny suggest several cases of regulatory neofunctionalization and organ-specific nonfunctionalization. Complete linkage clustering of gene expression levels across organs suggests that regulatory modules for each organ are independent or ancestral genes had limited expression. We propose a new classification, regulatory hypofunctionalization, for an overall decrease in expression level in one member of a paralogous pair while still having a significant G x O effect. We conclude that expression divergence specifically indicative of subfunctionalization and/or neofunctionalization contributes to the maintenance of most if not all duplicated regulatory genes in Arabidopsis and hypothesize that this results in increasing expression diversity or specificity of regulatory genes after each round of duplication.     

Reconstruction of Ancestral Metabolic Enzymes Reveals Molecular Mechanisms Underlying Evolutionary Innovation through Gene Duplication

Gene duplications are believed to facilitate evolutionary innovation. However, the mechanisms shaping the fate of duplicated genes remain heavily debated because the molecular processes and evolutionary forces involved are difficult to reconstruct. Here, we study a large family of fungal glucosidase genes that underwent several duplication events. We reconstruct all key ancestral enzymes and show that the very first preduplication enzyme was primarily active on maltose-like substrates, with trace activity for isomaltose-like sugars. Structural analysis and activity measurements on resurrected and present-day enzymes suggest that both activities cannot be fully optimized in a single enzyme. However, gene duplications repeatedly spawned daughter genes in which mutations optimized either isomaltase or maltase activity. Interestingly, similar shifts in enzyme activity were reached multiple times via different evolutionary routes. Together, our results provide a detailed picture of the molecular mechanisms that drove divergence of these duplicated enzymes and show that whereas the classic models of dosage, sub-, and neofunctionalization are helpful to conceptualize the implications of gene duplication, the three mechanisms co-occur and intertwine.     

Population-genetic models of the fates of duplicate genes

The ultimate fate of a duplicated gene is that it either silenced through inactivating mutations or both copies are maintained by selection. This later fate can occur via neofunctionalization wherein one copy acquires a new function or by subfunctionalization wherein the original function of the gene is partitioned across both copies. The relative probabilities of these three different fates involve often very subtle iterations between of population size, mutation rate, and selection. All three of these fates are critical to the expansion and diversification of gene families.     

Genomic background predicts the fate of duplicated genes: evidence from the yeast genome

Gene duplication with subsequent divergence plays a central role in the acquisition of genes with novel function and complexity during the course of evolution. With reduced functional constraints or through positive selection, these duplicated genes may experience accelerated evolution. Under the model of subfunctionalization, loss of subfunctions leads to complementary acceleration at sites with two copies, and the difference in average rate between the sequences may not be obvious. On the other hand, the classical model of neofunctionalization predicts that the evolutionary rate in one of the two duplicates is accelerated. However, the classical model does not tell which of the duplicates experiences the acceleration in evolutionary rate. Here, we present evidence from the Saccharomyces cerevisiae genome that a duplicate located in a genomic region with a low-recombination rate is likely to evolve faster than a duplicate in an area of high recombination. This observation is consistent with population genetics theory that predicts that purifying selection is less effective in genomic regions of low recombination (Hill-Robertson effect). Together with previous studies, our results suggest the genomic background (e.g., local recombination rate) as a potential force to drive the divergence between nontandemly duplicated genes. This implies the importance of structure and complexity of genomes in the diversification of organisms via gene duplications.     

Comparable Rates of Gene Loss and Functional Divergence after Genome Duplications Early in Vertebrate Evolution

Duplicated genes are an important source of new protein functions and novel developmental and physiological pathways. Whereas most models for fate of duplicated genes show that they tend to be rapidly lost, models for pathway evolution suggest that many duplicated genes rapidly acquire novel functions. Little empirical evidence is available, however, for the relative rates of gene loss vs. divergence to help resolve these contradictory expectations. Gene families resulting from genome duplications provide an opportunity to address this apparent contradiction. With genome duplication, the number of duplicated genes in a gene family is at most 2(n), where n is the number of duplications. The size of each gene family, e.g., 1, 2, 3, . . . , 2(n), reflects the patterns of gene loss vs. functional divergence after duplication. We focused on gene families in humans and mice that arose from genome duplications in early vertebrate evolution and we analyzed the frequency distribution of gene family size, i.e., the number of families with two, three or four members. All the models that we evaluated showed that duplicated genes are almost as likely to acquire a new and essential function as to be lost through acquisition of mutations that compromise protein function. An explanation for the unexpectedly high rate of functional divergence is that duplication allows genes to accumulate more neutral than disadvantageous mutations, thereby providing more opportunities to acquire diversified functions and pathways.     

How Often Do Duplicated Genes Evolve New Functions?

A recently duplicated gene can either fix a null allele (becoming a pseudogene) or fix an (advantageous) allele giving a slightly different function, starting it on the road to evolving a new function. Here we examine the relative probabilities of these two events under a simple model. Null alleles are assumed to be neutral; linkage effects are ignored, as are unequal crossing over and gene conversion. These assumptions likely make our results underestimates for the probability that an advantageous allele is fixed first. When new advantageous mutations are additive with selection coefficient s and the ratio of advantageous to null mutations is ρ, the probability an advantageous allele is fixed first is ([1 - e(-S)]/[ρS] + 1)(-1), where S = 4N(e)s with N(e) the effective population size. The probability that a duplicate locus becomes a pseudogene, as opposed to evolving a new gene function, is high unless ρS & 1. However, even if advantageous mutations are very rare relative to null mutations, for sufficiently large populations ρS & 1 and new gene function, rather than pseudogene formation, is the expected fate of most duplicated genes.