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r8s: inferring absolute rates of molecular evolution and divergence times in the absence of a molecular clock.

SUMMARY: Estimating divergence times and rates of substitution from sequence data is plagued by the problem of rate variation between lineages. R8s version 1.5 is a program which uses parametric, nonparametric and semiparametric methods to relax the assumption of constant rates of evolution to obtain better estimates of rates and times. Unlike most programs for rate inference or phylogenetics, r8s permits users to convert results to absolute rates and ages by constraining one or more node times to be fixed, minimum or maximum ages (using fossil or other evidence). Version 1.5 uses truncated Newton nonlinear optimization code with bound constraints, offering superior performance over previous versions. AVAILABILITY: The linux executable, C source code, sample data sets and user manual are available free at http://ginger.ucdavis.edu/r8s.

Algorithms↗

Determining divergence times with a protein clock: update and reevaluation.

A recent study of the divergence times of the major groups of organisms as gauged by amino acid sequence comparison has been expanded and the data have been reanalyzed with a distance measure that corrects for both constraints on amino acid interchange and variation in substitution rate at different sites. Beyond that, the availability of complete genome sequences for several eubacteria and an archaebacterium has had a great impact on the interpretation of certain aspects of the data. Thus, the majority of the archaebacterial sequences are not consistent with currently accepted views of the Tree of Life which cluster the archaebacteria with eukaryotes. Instead, they are either outliers or mixed in with eubacterial orthologs. The simplest resolution of the problem is to postulate that many of these sequences were carried into eukaryotes by early eubacterial endosymbionts about 2 billion years ago, only very shortly after or even coincident with the divergence of eukaryotes and archaebacteria. The strong resemblances of these same enzymes among the major eubacterial groups suggest that the cyanobacteria and Gram-positive and Gram-negative eubacteria also diverged at about this same time, whereas the much greater differences between archaebacterial and eubacterial sequences indicate these two groups may have diverged between 3 and 4 billion years ago.

Archaea↗

Molecular estimation of eulipotyphlan divergence times and the evolution of "Insectivora".

"Insectivores" are one of the key groups in understanding mammalian origins. For years, systematics of "Lipotyphla" taxa remained extremely unstable and challenged. Today, with the application of molecular techniques, "Lipotyphla" appears to be a paraphyletic assemblage that encompasses hedgehogs, shrews, and moles (i.e., Eulipotyphla-a member of Laurasiatheria), and golden moles and tenrecs (i.e., Afrosoricida-a member of Afrotheria). Based on nuclear genes and on this well-established phylogenetic framework, we estimated Bayesian relaxed molecular clock divergence times among major lineages of "Lipotyphla." Crown placental mammals are shown to diversify 102+/-6 million years ago (Mya; mean+/-one standard-deviation), followed by Boreoeutheria (94+/-6 Mya), Laurasiatheria (85+/-5 Mya), and Eulipotyphla (73+/-5), with moles separating from hedgehogs+shrews just at the K/T boundary (65+/-5 Mya). During the Early and Middle Eocene, all extant eulipotyphlan subfamilies originated: Uropsilinae (52+/-5 Mya), and Desmaninae, Talpinae, Erinaceinae, Hylomyinae, Soricinae, and Crocidurinae (38-42+/-5 Mya). Afrosoricida separated from Macroscelidae 69+/-5 Mya, golden moles from tenrecs 63+/-5 Mya, and the diversification within tenrecs occurred 43+/-5 Mya. Divergence times are shown to be in reasonably good agreement with the fossil record of eulipotyphlans, but not with the one of afrosoricid "insectivores." Eulipotyphlans diversification might have been sculpted by variations in paleoclimates of the cenozoic era.

Animals↗

Estimating ancestral population sizes and divergence times.

This article presents a new method for jointly estimating species divergence times and ancestral population sizes. The method improves on previous ones by explicitly incorporating intragenic recombination, by utilizing orthologous sequence data from closely related species, and by using a maximum-likelihood framework. The latter allows for efficient use of the available information and provides a way of assessing how much confidence we should place in the estimates. I apply the method to recently collected intergenic sequence data from humans and the great apes. The results suggest that the human-chimpanzee ancestral population size was four to seven times larger than the current human effective population size and that the current human effective population size is slightly >10,000. These estimates are similar to previous ones, and they appear relatively insensitive to assumptions about the recombination rates or mutation rates across loci.

Animals↗

Model-based multi-locus estimation of decapod phylogeny and divergence times.

Phylogenetic relationships among all of the major decapod infraorders have never been estimated using molecular data, while morphological studies produce conflicting results. In the present study, the phylogenetic relationships among the decapod basal suborder Dendrobranchiata and all of the currently recognized decapod infraorders within the suborder Pleocyemata (Caridea, Stenopodidea, Achelata, Astacidea, Thalassinidea, Anomala, and Brachyura) were inferred using 16S mtDNA, 18S and 28S rRNA, and the histone H3 gene. Phylogenies were reconstructed using the model-based methods of maximum likelihood and Bayesian methods coupled with Markov Chain Monte Carlo inference. The phylogenies revealed that the seven infraorders are monophyletic, with high clade support values (bp>70; pP>0.95) under both methods. The two suborders also were recovered as monophyletic, but with weaker support (bp=70; pP=0.74). Although the nodal support values for infraordinal relationships were low (bp<50; pP<0.77) the Anomala and Brachyura were basal to the rest of the 'Reptantia' in both reconstructions and using Bayesian tree topology tests alternate morphology-based hypotheses were rejected (P<0.01). Newly developed multi-locus Bayesian and likelihood heuristic rate-smoothing methods to estimate divergence times were compared using eight fossil and geological calibrations. Estimated times revealed that the Decapoda originated earlier than 437MYA and that the radiation within the group occurred rapidly, with all of the major lineages present by 325MYA. Node time estimation under both approaches is severely affected by the number and phylogenetic distribution of the fossil calibrations chosen. For analyses incorporating fossils as fixed ages, more consistent results were obtained by using both shallow and deep or clade-related calibration points. Divergence time estimation using fossils as lower and upper limits performed well with as few as one upper limit and a single deep fossil lower limit calibration.

Animals↗

Fossil calibrations and molecular divergence time estimates in centrarchid fishes (Teleostei: Centrarchidae).

Molecular clock methods allow biologists to estimate divergence times, which in turn play an important role in comparative studies of many evolutionary processes. It is well known that molecular age estimates can be biased by heterogeneity in rates of molecular evolution, but less attention has been paid to the issue of potentially erroneous fossil calibrations. In this study we estimate the timing of diversification in Centrarchidae, an endemic major lineage of the diverse North American freshwater fish fauna, through a new approach to fossil calibration and molecular evolutionary model selection. Given a completely resolved multi-gene molecular phylogeny and a set of multiple fossil-inferred age estimates, we tested for potentially erroneous fossil calibrations using a recently developed fossil cross-validation. We also used fossil information to guide the selection of the optimal molecular evolutionary model with a new fossil jackknife method in a fossil-based model cross-validation. The centrarchid phylogeny resulted from a mixed-model Bayesian strategy that included 14 separate data partitions sampled from three mtDNA and four nuclear genes. Ten of the 31 interspecific nodes in the centrarchid phylogeny were assigned a minimal age estimate from the centrarchid fossil record. Our analyses identified four fossil dates that were inconsistent with the other fossils, and we removed them from the molecular dating analysis. Using fossil-based model cross-validation to determine the optimal smoothing value in penalized likelihood analysis, and six mutually consistent fossil calibrations, the age of the most recent common ancestor of Centrarchidae was 33.59 million years ago (mya). Penalized likelihood analyses of individual data partitions all converged on a very similar age estimate for this node, indicating that rate heterogeneity among data partitions is not confounding our analyses. These results place the origin of the centrarchid radiation at a time of major faunal turnover as the fossil record indicates that the most diverse lineages of the North American freshwater fish fauna originated at the Eocene-Oligocene boundary, approximately 34 mya. This time coincided with major global climate change from warm to cool temperatures and a signature of elevated lineage extinction and origination in the fossil record across the tree of life. Our analyses demonstrate the utility of fossil cross-validation to critically assess individual fossil calibration points, providing the ability to discriminate between consistent and inconsistent fossil age estimates that are used for calibrating molecular phylogenies.

Animals↗

Divergence time estimates for the early history of animal phyla and the origin of plants, animals and fungi.

In the past, molecular clocks have been used to estimate divergence times among animal phyla, but those time estimates have varied widely (1200-670 million years ago, Ma). In order to obtain time estimates that are more robust, we have analysed a larger number of genes for divergences among three well-represented animal phyla, and among plants, animals and fungi. The time estimate for the chordate-arthropod divergence, using 50 genes, is 993 +/- 46 Ma. Nematodes were found to have diverged from the lineage leading to arthropods and chordates at 1177 +/- 79 Ma. Phylogenetic analyses also show that a basal position of nematodes has strong support (p > 99%) and is not the result of rate biases. The three-way split (relationships unresolved) of plants, animals and fungi was estimated at 1576 +/- 88 Ma. By inference, the basal animal phyla (Porifera, Cnidaria, Ctenophora) diverged between about 1200-1500 Ma. This suggests that at least six animal phyla originated deep in the Precambrian, more than 400 million years earlier than their first appearance in the fossil record.

Animals↗

Maximum likelihood estimation of population divergence times and population phylogenies under the infinite sites model.

In this paper, a maximum likelihood estimator of population divergence time based on the infinite sites model is developed. It is demonstrated how this estimator may be applied to obtain maximum likelihood estimates of the topology of population phylogenies. This approach addresses several classical problems occurring in the inference of the phylogenetic relationship of populations, most notably the problem of shared ancestral polymorphisms. The method is applied to previously published data sets of human African populations and of Caribbean hawksbill turtles.

Animals↗

Phylogenetic relationships and divergence time estimate of African anguilliform catfish (Siluriformes: Clariidae) inferred from ribosomal gene and spacer sequences.

The catfish family Clariidae comprises species in which the body shape ranges from fusiform to anguilliform. Recent studies have shown that this body elongation is the result of convergent evolution. This paper aims to study the evolution towards anguilliformity in a phylogenetic framework. Sequences of 29 taxa were analyzed using the neighbor-joining, maximum-likelihood, maximum-parsimony, and Bayesian inference algorithms and the parsimony algorithm in POY. The study yields phylogenetic hypotheses showing well-supported clades. Anguilliformity appears to have arisen at least four times, each time having a sister group relation with a fusiform Clarias-like ancestor. Divergence time estimation indicates that the African Clariidae started radiating between 123 and 56 My ago.

Africa↗

Morphology, fossils, divergence timing, and the phylogenetic relationships of Gavialis.

Although morphological data have historically favored a basal position for the Indian gharial (Gavialis gangeticus) within Crocodylia and a Mesozoic divergence between Gavialis and all other crocodylians, several recent molecular data sets have argued for a sister-group relationship between Gavialis and the Indonesian false gharial (Tomistoma schlegelii) and a divergence between them no earlier than the Late Tertiary. Fossils were added to a matrix of 164 discrete morphological characters and subjected to parsimony analysis. When morphology was analyzed alone, Gavialis was the sister taxon of all other extant crocodylians whether or not fossil ingroup taxa were included, and a sister-group relationship between Gavialis and Tomistoma was significantly less parsimonious. In combination with published sequence and restriction site fragment data, Gavialis was the sister taxon of all other living crocodylians, but the position of Tomistoma depended on the inclusion of fossil ingroup taxa; with or without fossils, preferred morphological and molecular topologies were not significantly different. Fossils closer to Gavialis than to Tomistoma can be recognized in the Late Cretaceous, and fossil relatives of Tomistoma are known from the basal Eocene, strongly indicating a divergence long before the Late Tertiary. Comparison of minimum divergence time from the fossil record with different measures of molecular distance indicates evolutionary rate heterogeneity within Crocodylia. Fossils strongly contradict a post-Oligocene divergence between Gavialis and any other living crocodylian, but the phylogenetic placement of Gavialis is best viewed as unresolved.

Alligators and Crocodiles↗

[A case of anti-basement membrane (BM) mediated disease presenting renal and pulmonary symptoms by divergent timing].

A case of 49-year-old man with anti-GBM antibody and who manifested pulmonary and renal symptoms at divergent times. Thirty-six years previously, renal disease with unneglectable degree of proteinuria was noticed. One month before admission, he was found by chance to have elevated serum creatine (Scr); 3.4 mg/dl. At admission, his Scr was 13.7 mg/dl and Hb 12.7 g/dl, TP 5.2 g/dl with 3+ proteinuria and no glucosuria. He was a heavy smoker and remained so while admitted. Renal biopsy presented fibrocellular crescents in 100% of glomeruli with striking tubulointerstitial involvement. Immunofluorescence showed linear IgG deposition along the glomerular capillary wall. Hemodialysis was instituted, and after 13 hospital days, anti-GBM antibody at admission was high at 128 U, with negative PANCA. Plasmapheresis was also performed, but on the next day pulmonary hemorrhage occurred with a concomitant rise of anti-GBM to 250 U. Thus, steroid pulse therapy was conducted in combination with plasmapheresis. Pulmonary hemorrhage subsided along with lowering of anti-GBM (48 U), but renal failure persisted. The patient died of septicemia. Based on the clinical course of the case, the term "anti-BM mediated disease" may more properly delineate the entity of the disease rather than the classical eponym "Goodpasture's disease" which requires coexistence of pulmo- and renal manifestations for definition.

Anti-Glomerular Basement Membrane Disease↗

Evolution of Lycopodiaceae (Lycopsida): estimating divergence times from rbcL gene sequences by use of nonparametric rate smoothing.

By use of nonparametric rate smoothing and nucleotide sequences of the rbcL gene, divergence times in Lycopodiaceae are estimated. The results show that much extant species diversity in Lycopodiaceae stems from relatively recent cladogenic events. These results corroborate previous ideas based on paleobotanical and biogeographical data. Previous molecular phylogenetic analyses recognized a split into neotropical and paleotropical clades in Huperzia, which contains 85-90% of all living species. Connecting this biogeographical pattern with continent movements, the diversification of this epiphytic group was suggested to coincide with that of angiosperms in the mid to Late Cretaceous. Results presented here are consistent with this idea, and the diversification of the two clades is resolved as Late Cretacous (78 and 95 Myr). In the related genera Lycopodium and Lycopodiella, the patterns are somewhat different. Here species diversity is scattered among different subgeneric groups. Most of the high-diversity subgeneric groups seem to have diversified very recently (Late Tertiary), whereas the cladogenic events leading to these groups are much older (Early to Late Cretaceous). Our analysis shows that, although much living species diversity stems from relatively recent cladogenesis, the origins of the family (Early Carboniferous) and generic crown groups (Early Permian to Early Jurassic) are much more ancient events.

Evolution, Molecular↗

Determining divergence times of the major kingdoms of living organisms with a protein clock.

Amino acid sequence data from 57 different enzymes were used to determine the divergence times of the major biological groupings. Deuterostomes and protostomes split about 670 million years ago and plants, animals, and fungi last shared a common ancestor about a billion years ago. With regard to these protein sequences, plants are slightly more similar to animals than are the fungi. In contrast, phylogenetic analysis of the same sequences indicates that fungi and animals shared a common ancestor more recently than either did with plants, the greater difference resulting from the fungal lineage changing faster than the animal and plant lines over the last 965 million years. The major protist lineages have been changing at a somewhat faster rate than other eukaryotes and split off about 1230 million years ago. If the rate of change has been approximately constant, then prokaryotes and eukaryotes last shared a common ancestor about 2 billion years ago, archaebacterial sequences being measurably more similar to eukaryotic ones than are eubacterial ones.

Amino Acid Sequence↗

[Molecular genotypes of hepatitis C virus and their divergence times].

We collected the nucleotide sequences of hepatitis C virus (HCV) from the international DNA data base DDBJ/EMBL/GenBank to carry out molecular evolutionary analysis of HCVs. Using these sequences, we constructed the phylogenetic trees for the 5' non-coding, Core, Env., E2/NS1, NS3, NS4 and NS5 regions of HCV. The number of nucleotide substitutions per site at all positions between all pairs of HCVs, for each region, were estimated by the 6-parameter method. Using these numbers, we constructed phylogenetic trees for each region of HCV by the neighbor-joining method. In these trees for the coding regions (Core, Env, E2/NS1, NS3, NS4 and NS5 regions), HCVs can be classified into two major and four minor genotypes, but into three major and six minor genotypes on the tree of the NS5 region. It appears that HCVs exist as at least two or three major and six minor types. The evolutionary rates of HCV was estimated to be about 10(-3) per site per year close to that of human immunodeficiency virus. The new genotypes of HCV may be therefore isolated elsewhere in the near future. Then, applying the distance between H77 and H90 strains to the phylogenetic trees, we estimated the divergence times of HCVs. The major genotypes diverged about 300-400 years ago from the ancestor virus and after then, each minor genotypes diversed about 200 years ago from their major genotypes. These data suggested that HCVs spread out all over the world during these hundred years.

Base Sequence↗

Birth-and-death evolution in primate MHC class I genes: divergence time estimates.

The major histocompatibility complex (MHC) is a multigene family that mediates the host immune response by helping T lymphocytes to recognize and respond to foreign antigens. The high degree of polymorphism and a quick turnover of the genetic loci make the evolution of MHC genes an intriguing subject of study. To understand the evolutionary pattern of this multigene family, we studied the phylogeny and divergence times of six functional MHC class I loci from primate species. On the phylogenetic trees, locus F occupies the most basal position among these loci. Our results suggest that the F locus diverged from the other MHC class I loci about 46-66 MYA. The major diversification of the other class I loci was estimated to have occurred at about 35-49 MYA, which is before the time of separation of Old World-New World monkeys. The gene duplication leading to the classical C locus in great apes appears to have occurred about 21-28 MYA. At approximately the same time the duplication of the B locus occurred in macaques. The oldest allelic lineages of A, B, and C loci in humans seem to have appeared at least 14-19, 10-15, and 13-17 MYA, respectively. Our phylogenetic analysis supports the hypothesis that the nonclassical locus F has diverged from the rest of class I loci very early in primate evolution. The overall phylogenetic pattern observed among class I genes is consistent with the model of birth-and-death evolution.

Animals↗

Divergence time and population size in the lineage leading to modern humans.

We have developed maximum likelihood (ML) methods for comparisons of nucleotide sequences from unlinked genomic regions. In the case of a single species, the ML method primarily estimates the effective population size (Ne) under both constant size and abrupt expansion conditions. In the case of two or three species, the ML method simultaneously estimates the species divergence time and the effective size of ancestral populations. This allows us to trace the evolutionary history of the human population over the past several million years (my). Available sequences at human autosomal loci indicate Ne = 10,000 in the Late Pleistocene, a figure concordant with the results obtained from mitochondrial DNA sequence and allele-frequency data analysis, and there is no indication of population expansion. The ML analysis of two species shows that humans diverged from chimpanzees 4.6 my ago and that the human and chimpanzee clade diverged from the gorilla 7.2 my ago. Furthermore, the effective population size of humans more than 4.6 my ago is nearly 10 times larger than Ne of modern humans. The effective population size in the human lineage does not seem to have remained constant over the past several million years. The ML model for three species predicts slightly different, but consistent results to those obtained by the two-species analysis.

Animals↗

Multiple substitutions create biased estimates of divergence times and small increases in the variance to mean ratio.

Analysis of mutational processes has demonstrated that mutations usually occur as non-random events with many factors that influence the fidelity of DNA replication. One such unusual pattern of mutation shows that some mutational events will create more than one sequence alteration. This possibility is not generally considered in estimates of sequence divergence and yet affects both the mean and variance of these estimates. Theoretical results and simulation results are presented to examine how extensive the effects of multiple alterations resulting from single mutational events may be on sequence divergence. It is shown that estimates of the divergence times are biased but that this bias is not large unless the number of sequence alterations per event are unrealistically large. The number of alterations per event required to achieve a given bias is determined. The variance is increased by multiple alterations above the variance expected for the same mean number of single alterations, but not up to the levels that are observed in nature. The resulting increase in the variance to mean ratio changes with the amount of divergence, from an initially high ratio followed by a slow decline to one.

Biological Evolution↗

Unraveling the evolutionary radiation of the thoracican barnacles using molecular and morphological evidence: a comparison of several divergence time estimation approaches.

The Thoracica includes the ordinary barnacles found along the sea shore and is the most diverse and well-studied superorder of Cirripedia. However, although the literature abounds with scenarios explaining the evolution of these barnacles, very few studies have attempted to test these hypotheses in a phylogenetic context. The few attempts at phylogenetic analyses have suffered from a lack of phylogenetic signal and small numbers of taxa. We collected DNA sequences from the nuclear 18S, 28S, and histone H3 genes and the mitochondrial 12S and 16S genes (4,871 bp total) and data for 37 adult and 53 larval morphological characters from 43 taxa representing all the extant thoracican suborders (except the monospecific Brachylepadomorpha). Four Rhizocephala (highly modified parasitic barnacles) taxa and a Rhizocephala + Acrothoracica (burrowing barnacles) hypothetical ancestor were used as the outgroup for the molecular and morphological analyses, respectively. We analyzed these data separately and combined using maximum likelihood (ML) under "hill-climbing" and genetic algorithm heuristic searches, maximum parsimony procedures, and Bayesian inference coupled with Markov chain Monte Carlo techniques under mixed and homogeneous models of nucleotide substitution. The resulting phylogenetic trees answered key questions in barnacle evolution. The four-plated Iblomorpha were shown as the most primitive thoracican, and the plateless Heteralepadomorpha were placed as the sister group of the Lepadomorpha. These relationships suggest for the first time in an invertebrate that exoskeleton biomineralization may have evolved from phosphatic to calcitic. Sessilia (nonpedunculate) barnacles were depicted as monophyletic and appear to have evolved from a stalked (pedunculate) multiplated (5+) scalpelloidlike ancestor rather than a five-plated lepadomorphan ancestor. The Balanomorpha (symmetric sessile barnacles) appear to have the following relationship: (Chthamaloidea(Coronuloidea(Tetraclitoidea, Balanoidea))). Thoracican divergence times were estimated under ML-based local clock, Bayesian, and penalized likelihood approaches using an 18S data set and three calibration points: Heteralepadomorpha = 530 million years ago (MYA), Scalpellomorpha = 340 MYA, and Verrucomorpha = 120 MYA. Estimated dates varied considerably within and between approaches depending on the calibration point. Highly parameterized local clock models that assume independent rates (r > or = 15) for confamilial or congeneric species generated the most congruent estimates among calibrations and agreed more closely with the barnacle fossil record. Reasonable estimates were also obtained under the Bayesian procedure of Kishino et al. (2001, Mol. Biol. Evol. 18:352-361) but using multiple calibrations. Most of the dates estimated under the Bayesian procedure of Aris-Brosou and Yang (2002, Syst. Biol. 51:703-714) and the penalized likelihood method using single and/or multiple calibrations were inconsistent among calibrations and did not fit the fossil record.

Animals↗