Transitions and transversions in evolutionary descent: An approach to understanding

Summary In this paper I lay a quantitative theoretical groundwork for understanding the proportions of the possible types of base substitutions observed between 12 genes sharing a common ancestor and isolated from extant species. The experimentally observed types of base substitution between two sequenced genes do not give a direct measure of the types of base substitutions that occur during evolutionary descent. However, by use of a statistical assemblage of these observations, we can recover, without the assumption of parsimony, the conditional base substitution probabilities that determine this descent. Three methods—direct count, regression, and informational entropy maximization—are described by which these probabilities can be estimated from experimental data. The methods are complementary in that each is most useful for somewhat different types of experimental data. These methods are used to study the ratio of transversions to transitions during gene divergence. Though this ratio is not constant during divergence, it does approach a stable limiting value that in principle can vary from zero, corresponding to 100% transition differences, to infinity, corresponding to 0% transition differences. In practice the limiting ratio tends to hover around a value of two, which is expected on a random basis. However, base substitution pathways that are very nonrandom also may lead to a limiting ratio of exactly two, so that such a value is not diagnostic for random pathways. The limiting ratio can be directly calculated from a knowledge of the twelve conditional probabilities for each type of base substitution, or from a knowledge of the equilibrium base composition of the DNAs compared. An expression is given for this calculation. Fifteen years ago Jean Derancourt, Andrew Lebor and Emile Zuckerkandl (1967), analyzing the amino acid sequence of globin chains coded by nuclear genes, made the original observation that the proportion of transition differences decreases with increasing evolutionary time. Recently Brown et al. (1982) and Brown and Simpson (1982) have reported a decrease in the observed proportion of transition differences in mitochondrial DNA with increasing evolutionary divergence. The conditions that must be satisfied for this type of behavior to occur at stable base composition and with stable base substitution probabilities are defined. Multiple substitutionsper se do not lead to a decrease in transition differences with increasing evolutionary divergence.     

On the molecular evolutionary clock

Summary The conceptual framework surrounding the origin of the molecular evolutionary clock and circumstances of this origin are described. In regard to the quest for the best available molecular clocks, a return to protein clocks is conditionally recommended. On the basis of recent data and certain considerations, it is pointed out that the realm of neutrality in evolution is probably less extensive than is now commonly thought, in the three distinct senses of the term neutrality—neutrality as nonfunctionality of mutations, neutrality as equifunctionality of mutations, and neutrality as a mode of fixation of mutations. The possibility is raised that complex sets of interacting components forming a system that is bounded with respect to its environment may quite generally display an intrinsic trend to a quasi-clockwise evolutionary behavior.     

A simple quantitative model of the molecular clock

Summary We present the ideas, and their motivation, at the basis of a simple model of nucleic acid evolution: thestationary Markov process, or Markov clock. After a brief review of its relevant mathematical properties, the Markov clock is applied to nucleotide sequences from mitochondrial and nuclear genes of different species. Particular emphasis is given to the necessity of carrying out a correct statistical analysis, which allows us to check quantitatively the applicability of our model. We find evidence that the Markov clock ticks in many different processes, and that its limitations can be understood in terms of a simple idea that we call the base-drift hypothesis. This hypothesis correlates the deviations from the stationarity of the Markov process to the evolutionary distanced _AB ^(P) of two species A and B, relative to the processP. We conclude by discussing the implications of our findings for future work.     

DNA turnover and the molecular clock

Summary Many detailed studies on the mechanisms by which different components of eukaryotic nuclear genomes have diverged reveal that the majority of sequences are seemingly not passively accumulating base substitutions in a clocklike manner solely determined by laws of diffusion at the population level. It appears that variation in the rates, units, biases, and gradients of several DNA turnover mechanisms are contributing to the course of DNA divergence. Turnover mechanisms have the potential to retard, maintain, or accelerate the rate of DNA differentiation between populations. Furthermore, examples are known of coding and noncoding DNA subject to the simultaneous operation of several turnover mechanisms leading to complex patterns of fine-scale restructuring and divergence, generally uninterpretable using selection and/or neutral drift arguments in isolation. Constancy in the rate of divergence, where observed over defined periods of time, could be a reflection of constancy in the rates and units of turnover. However, a consideration of the generally large disparity between rates of turnover and mutation reveals that DNA clocks, which would be independently driven by turnover in separate genomic components, would tend to be episodic. The utility of any given DNA sequence for measuring time and species relationships, like individual proteins, is proportional to the extent to which all contributing forces to the evolution of the sequence, internal and external, are understood.     

Biogeographic calibrations for the molecular clock

Molecular estimates of evolutionary timescales have an important role in a range of biological studies. Such estimates can be made using methods based on molecular clocks, including models that are able to account for rate variation across lineages. All clock models share a dependence on calibrations, which enable estimates to be given in absolute time units. There are many available methods for incorporating fossil calibrations, but geological and climatic data can also provide useful calibrations for molecular clocks. However, a number of strong assumptions need to be made when using these biogeographic calibrations, leading to wide variation in their reliability and precision. In this review, we describe the nature of biogeographic calibrations and the assumptions that they involve. We present an overview of the different geological and climatic events that can provide informative calibrations, and explain how such temporal information can be incorporated into dating analyses.     

Evolutionary processes and evolutionary noise at the molecular level

Summary On account, notably, of a competition between different component functions for individual sites in polypeptide chains, each protein molecule represents a functional compromise, with some functions optimized, but the overall state of the molecule –suboptimal–. The proposal is made that the selection coefficient relating to a protein molecule under given conditions can in principle be broken down into partial selection coefficients relevant to the different functions that the molecule carries out. At generalfunction sites, each fixation improves some function, while others deteriorate, at first nonsignificantly, and the overall adaptive state of the molecule fluctuates around its maximum. A selective mechanism is described whereby kaleidoscopic changes in primary structure at variable sites are indefinitely promoted, independently of any environmental changes and with the molecule remaining close to a state of maximal overall adaptation. The paradoxical aspect of this proposal is analyzed. The implication of specific functions in substitutions at general-function sites is noted. Further, it is shown that a certain category of changes in the internal environment of the organism can be integrated into the constantenvironment model for selection. Genetic sufficiency is considered a notion more adequate than genetic optimality for describing biological fitness and for providing a basis for the present model. On this basis selection occurs without genetic load. Multipolymorphism is one of the consequences. Several lines of evidence, in particular observations on polymorphism in deep sea organisms, seem to support the model. It is pointed out that it provides a theoretical foundation for a molecular evolutionary clock. The theoretical constancy of the clock depends on the constancy of functional density. The question of the evolution of functional density is examined. Comparisons of observed substitution frequencies with values expected on a random basis are rejected as a measure of the contribution to evolution of nondetermination. They are considered to reflect a hierarchy in the resistance of the molecules to different amino acid residues as substituents. A limited component of –true– randomness, again accompanied by selection, is on the other hand provided by the model. Most amino acid substitutions are considered evolutionary noise, even though noise compatible with selection. It is proposed that evolutionarily significant substitutions may be identified by monitoring changes in functional density and weighted functional density.Directeur de Recherche at Centre National de la Recherche Scientifique, Paris.     

Information-theoretic indices and an approximate significance test for testing the molecular clock hypothesis with genetic distances

Distance-based phylogenetic methods are widely used in biomedical research. However, distance-based dating of speciation events and the test of the molecular clock hypothesis are relatively underdeveloped. Here I develop an approximate test of the molecular clock hypothesis for distance-based trees, as well as information-theoretic indices that have been used frequently in model selection, for use with distance matrices. The results are in good agreement with the conventional sequence-based likelihood ratio test. Among the information-theoretic indices, AICu is the most consistent with the sequence-based likelihood ratio test. The confidence in model selection by the indices can be evaluated by bootstrapping. I illustrate the usage of the indices and the approximate significance test with both empirical and simulated sequences. The tests show that distance matrices from protein gel electrophoresis and from genome rearrangement events do not violate the molecular clock hypothesis, and that the evolution of the third codon position conforms to the molecular clock hypothesis better than the second codon position in vertebrate mitochondrial genes. I outlined evolutionary distances that are appropriate for phylogenetic reconstruction and dating.     

Two highly divergent mitochondrial DNA lineages within Pseudogobio esocinus populations in central Honshu, Japan

To elucidate the genetic population structure of Pseudogobio esocinus (Cyprinidae) in central Honshu, Japan, we performed phylogeographic analysis based on partial mitochondrial cytochrome b gene sequences. We found not only differentiation of mtDNA lineages between basins (uncorrected p ≈ 2%), presumably associated with uplifting of the Suzuka Mountains in the early Pleistocene, but also more diverged two mtDNA lineages within basins (p ≈ 8%). No evidence of mtDNA introgression from related sympatric species was found. The phylogeographic history of these two lineages should be elucidated by further analysis based on the specimens of P. esocinus from the entire distribution range.     

Dating the early evolution of plants: detection and molecular clock analyses of orthologs

Orthologs generally are under selective pressure against loss of function, while paralogs usually accumulate mutations and finally die or deviate in terms of function or regulation. Most ortholog detection methods contaminate the resulting datasets with a substantial amount of paralogs. Therefore we aimed to implement a straightforward method that allows the detection of ortholog clusters with a reduced amount of paralogs from completely sequenced genomes. The described cross-species expansion of the reciprocal best BLAST hit method is a time-effective method for ortholog detection, which results in 68% truly orthologous clusters and the procedure specifically enriches single-copy orthologs. The detection of true orthologs can provide a phylogenetic toolkit to better understand evolutionary processes. In a study across six photosynthetic eukaryotes, nuclear genes of putative mitochondrial origin were shown to be over-represented among single copy orthologs. These orthologs are involved in fundamental biological processes like amino acid metabolism or translation. Molecular clock analyses based on this dataset yielded divergence time estimates for the red/green algae (1,142 MYA), green algae/land plant (725 MYA), mosses/seed plant (496 MYA), gymno-/angiosperm (385 MYA) and monocotyledons/core eudicotyledons (301 MYA) divergence times. Electronic supplementary material The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

A mitogenomic timescale for birds detects variable phylogenetic rates of molecular evolution and refutes the standard molecular clock

Current understanding of the diversification of birds is hindered by their incomplete fossil record and uncertainty in phylogenetic relationships and phylogenetic rates of molecular evolution. Here we performed the first comprehensive analysis of mitogenomic data of 48 vertebrates, including 35 birds, to derive a Bayesian timescale for avian evolution and to estimate rates of DNA evolution. Our approach used multiple fossil time constraints scattered throughout the phylogenetic tree and accounts for uncertainties in time constraints, branch lengths, and heterogeneity of rates of DNA evolution. We estimated that the major vertebrate lineages originated in the Permian; the 95% credible intervals of our estimated ages of the origin of archosaurs (258 MYA), the amniote-amphibian split (356 MYA), and the archosaur-lizard divergence (278 MYA) bracket estimates from the fossil record. The origin of modern orders of birds was estimated to have occurred throughout the Cretaceous beginning about 139 MYA, arguing against a cataclysmic extinction of lineages at the Cretaceous/Tertiary boundary. We identified fossils that are useful as time constraints within vertebrates. Our timescale reveals that rates of molecular evolution vary across genes and among taxa through time, thereby refuting the widely used mitogenomic or cytochrome b molecular clock in birds. Moreover, the 5-Myr divergence time assumed between 2 genera of geese (Branta and Anser) to originally calibrate the standard mitochondrial clock rate of 0.01 substitutions per site per lineage per Myr (s/s/l/Myr) in birds was shown to be underestimated by about 9.5 Myr. Phylogenetic rates in birds vary between 0.0009 and 0.012 s/s/l/Myr, indicating that many phylogenetic splits among avian taxa also have been underestimated and need to be revised. We found no support for the hypothesis that the molecular clock in birds "ticks" according to a constant rate of substitution per unit of mass-specific metabolic energy rather than per unit of time, as recently suggested. Our analysis advances knowledge of rates of DNA evolution across birds and other vertebrates and will, therefore, aid comparative biology studies that seek to infer the origin and timing of major adaptive shifts in vertebrates.     

A comparison of evolutionary rates of the two major kinds of superoxide dismutase

Summary Phylogenetic trees were constructed for 25 Cu-Zn superoxide dismutases and 31 Mn/Fe superoxide dismutases. The latter set includes seven new sequences that we determined in an effort to make the two phylogenies equally representative. We analyzed all pairwise differences in each set in an attempt to estimate rates of change. As reported by others, the Cu-Zn enzyme has experienced significant changes in its evolutionary rate. In contrast, the clock for the Mn/Fe enzyme is ticking quite regularly. The comparison of these two independently evolved superoxide dismutases that catalyze the same reaction and occur together throughout much of the biological world suggests that adaptation to environmental stress is not the basis for the erratic rate of change observed in the Cu-Zn enzyme. Offprint requests to: R.F. Doolittle     

An AFLP clock for the absolute dating of shallow-time evolutionary history based on the intraspecific divergence of southwestern European alpine plant species

The dating of recent events in the history of organisms needs divergence rates based on molecular fingerprint markers. Here, we used amplified fragment length polymorphisms (AFLPs) of three distantly related alpine plant species co-occurring in the Spanish Sierra Nevada, the Pyrenees and the southwestern Alps/Massif Central to establish divergence rates. Within each of these species ( Gentiana alpina , Kernera saxatilis and Silene rupestris ), we found that the degree of AFLP divergence ( D _N72) between mountain phylogroups was significantly correlated with their time of divergence (as inferred from palaeoclimatic/palynological data), indicating constant AFLP divergence rates. As these rates did not differ significantly among species, a regression analysis based on the pooled data was utilized to generate a general AFLP rate. The application of this latter rate to AFLP data from other herbaceous plant species ( Minuartia biflora : Schönswetter et al . 2006 ; Nigella degenii : Comes et al . 2008 ) resulted in a plausible timing of the recolonization of the Svalbard Islands and the separation of populations from the Alps and Scandinavia ( Minuartia ), and of island population separation in the Aegean Archipelago ( Nigella ). Furthermore, the AFLP mutation rate obtained in our study is of the same magnitude as AFLP mutation rates published previously. The temporal limits of our AFLP rate, which is based on intraspecific vicariance events at shallow (i.e. late glacial/Early Holocene) time scales, remains to be tested.     

Bayesian estimation of species divergence times under a molecular clock using multiple fossil calibrations with soft bounds

We implement a Bayesian Markov chain Monte Carlo algorithm for estimating species divergence times that uses heterogeneous data from multiple gene loci and accommodates multiple fossil calibration nodes. A birth-death process with species sampling is used to specify a prior for divergence times, which allows easy assessment of the effects of that prior on posterior time estimates. We propose a new approach for specifying calibration points on the phylogeny, which allows the use of arbitrary and flexible statistical distributions to describe uncertainties in fossil dates. In particular, we use soft bounds, so that the probability that the true divergence time is outside the bounds is small but nonzero. A strict molecular clock is assumed in the current implementation, although this assumption may be relaxed. We apply our new algorithm to two data sets concerning divergences of several primate species, to examine the effects of the substitution model and of the prior for divergence times on Bayesian time estimation. We also conduct computer simulation to examine the differences between soft and hard bounds. We demonstrate that divergence time estimation is intrinsically hampered by uncertainties in fossil calibrations, and the error in Bayesian time estimates will not go to zero with increased amounts of sequence data. Our analyses of both real and simulated data demonstrate potentially large differences between divergence time estimates obtained using soft versus hard bounds and a general superiority of soft bounds. Our main findings are as follows. (1) When the fossils are consistent with each other and with the molecular data, and the posterior time estimates are well within the prior bounds, soft and hard bounds produce similar results. (2) When the fossils are in conflict with each other or with the molecules, soft and hard bounds behave very differently; soft bounds allow sequence data to correct poor calibrations, while poor hard bounds are impossible to overcome by any amount of data. (3) Soft bounds eliminate the need for "safe" but unrealistically high upper bounds, which may bias posterior time estimates. (4) Soft bounds allow more reliable assessment of estimation errors, while hard bounds generate misleadingly high precisions when fossils and molecules are in conflict.     

主流分子钟定年方法的原理、误差来源和使用建议

近年来, 分子钟定年方法(molecular dating methods)得以广泛运用, 为宏观进化研究尤其是生物多样性及其格局形成历史的相关研究提供了不可或缺且十分详尽的进化时间框架。贝叶斯方法(Bayesian methods)和马尔可夫链蒙特卡罗方法 (Markov chain Monte Carlo)可容纳多维度、多类型的数据和参数设置, 因此以BEAST、PAML-MCMCTree等软件为代表的贝叶斯节点标记法(Bayesian node-dating methods)逐渐成为分子钟定年方法中最为广泛使用的类型。贝叶斯框架的优势之一在于其可以利用复杂模型考虑各种不确定性因素, 但是该类方法中各类模型和参数的设置都可能引入误差, 从而影响进化分化时间估算的可靠性。本文介绍了贝叶斯分子钟定年方法的原理和主要类型, 并以贝叶斯节点标记法为例, 重点讨论了分子钟模型、化石标记的选择与放置、采样频率及化石标记点年龄先验分布等因素对节点定年的影响; 提供了贝叶斯时间树构建软件的使用建议、节点年龄的讨论原则和不同模型下时间树的比较方法, 针对常见的引起节点年龄潜在高估和低估风险的情况作了分析并给出了合理化建议。我们认为, 合理整合多种贝叶斯方法和模型得出的结果并从中择优, 能够提高定年结果的可靠性; 研究人员应对时间树构建结果与其参数设置的关系开展讨论, 从而为其他学者提供参考; 化石记录的更新与分子钟定年方法的改进应同步不断跟进。     

Use of Chou-Fasman amino acid conformational parameters to analyze the organization of the genetic code and to construct protein genealogies

Summary Chou-Fasman parameters, measuring preferences of each amino acid for different conformational regions in proteins, were used to obtain an amino acid difference index of conformational parameter distance (CPD) values. CPD values were found to be significantly lower for amino acid exchanges representing in the genetic code transitions of purines, GA than for exchanges representing either transitions of pyrimidines, CU, or transversions of purines and pyrimidines. Inasmuch as the distribution of CPD values in these non GA exchanges resembles that obtained for amino acid pairs with double or triple base differences in their underlying codons, we conclude that the genetic code was not particularly designed to minimize effects of mutation on protein conformation. That natural selection minimizes these changes, however, was shown by tabulating results obtained by the maximum parsimony method for eight protein genealogies with a total occurrence of 4574 base substitutions. At the beginning position of the codons GA transitions were in very great excess over other base substitutions, and, conversely, CU transitions were deficient. At the middle position of the codons only fast evolving proteins showed an excess of GA transitions, as though selection mainly preserved conformation in these proteins while weeding out mutations affecting chemical properties of functional sites in slow evolving proteins. In both fast and slow evolving proteins the net direction of transitions and transversions was found to be from G beginning codons to non-G beginning codons resulting in more commonly occurring amino acids, especially alanine with its generalized conformational properties, being replaced at suitable sites by amino acids with more specialized conformational and chemical properties. Historical circumstances pertaining to the origin of the genetic code and the nature of primordial proteins could account for such directional changes leading to increases in the functional density of proteins.In order to further explore the course of protein evolution, a modified parsimony algorithm was developed for constructing protein genealogies on the basis of minimum CPD length. The algorithm's ability to judge with finer discrimination that in protein evolution certain pathways of amino acid substitution should occur more readily than others was considered a potential advantage over strict maximum parsimony. In developing this CPD algorithm, the path of minimum CPD length through intermediate amino acids allowed by the genetic code for each pair of amino acids was determined. It was found that amino acid exchanges representing two base changes have a considerably lower average CPD value per base substitution than the amino acid exchanges representing single base changes. Amino acid exchanges representing three base changes have yet a further marked reduction in CPD per base change. This shows how extreme constraining effects of stabilizing selection can be circumvented, for by way of intermediate amino acids almost any amino acid can ultimately be substituted for another without damage to an evolving protein's conformation during the process.     

Evolution of the autosomal chorion cluster inDrosophila. IV. The HawaiianDrosophila: Rapid protein evolution and constancy in the rate of DNA divergence

Summary Autosomal chorion geness18, s15, ands19 are shown to diverge at extremely rapid rates in closely related taxa of HawaiianDrosophila. Their nucleotide divergence rates are at least as fast as those of intergenic regions that are known to evolve more extensively between distantly related species. Their amino acid divergence rates are the fastest known to date. There are two nucleotide replacement substitutions for every synonymous one. The molecular basis for observed length and substitution mutations is analyzed. Length mutations are strongly associated with direct repeats in general, and with tandem repeats in particular, whereas the rate for an average transition is twice that for an average transversion.The DNA sequence of the cluster was used to construct a phylogenetic tree for five taxa of the Hawaiian picture-winged species group ofDrosophila. Assignment of observed base substitutions occurring in various branches of the tree reveals an excess of would-be homoplasies in a centrally localized 1.8-kb segment containing thes15 gene. This observation may be a reflection of ancestral excess polymorphisms in the segment. The chorion cluster appears to evolve at a constant rate regardless of whether the central 1.8-kb segment is included or not in the analysis. Assuming that the time of divergence ofDrosophila grimshawi and theplanitibia subgroup coincides with the emergence of the island of Kauai, the overall rate of base substitution in the cluster is estimated to be 0.8% million years, whereas synonymous sites are substituted at a rate of 1.2%/million years.     

Molecular‐clock methods for estimating evolutionary rates and timescales

The molecular clock presents a means of estimating evolutionary rates and timescales using genetic data. These estimates can lead to important insights into evolutionary processes and mechanisms, as well as providing a framework for further biological analyses. To deal with rate variation among genes and among lineages, a diverse range of molecular‐clock methods have been developed. These methods have been implemented in various software packages and differ in their statistical properties, ability to handle different models of rate variation, capacity to incorporate various forms of calibrating information and tractability for analysing large data sets. Choosing a suitable molecular‐clock model can be a challenging exercise, but a number of model‐selection techniques are available. In this review, we describe the different forms of evolutionary rate heterogeneity and explain how they can be accommodated in molecular‐clock analyses. We provide an outline of the various clock methods and models that are available, including the strict clock, local clocks, discrete clocks and relaxed clocks. Techniques for calibration and clock‐model selection are also described, along with methods for handling multilocus data sets. We conclude our review with some comments about the future of molecular clocks.