rRNA二级结构序列用于真菌系统学研究的方法初探

本文首次利用核酸二级结构特征代替核酸碱基作为探讨类群之间亲缘关系的信号,构建了基于结构特征的子囊菌部分类群的系统进化树。该方法以S(规范的碱基对),Q(不规范的碱基对),I(单链),B(侧环),M(多分枝环)和H(发卡结构)为代码将二级结构特征区分为6种不同的亚结构类型,然后将二级结构特征转换为结构序列,并进行结构序列分析。该方法使rRNA不只局限于碱基比较,拓展了其应用范围,为揭示分子的功能与进化的关系提供了线索。结果表明,结构序列分析可用于子囊菌的系统学研究;相对于核酸序列分析,结构分析的结果似乎更加清晰地体现子囊果的演化过程。     

Structural rRNA characters support monophyly of raptorial limbs and paraphyly of limb specialization in water fleas

The evolutionary success of arthropods has been attributed partly to the diversity of their limb morphologies. Large morphological diversity and increased specialization are observed in water flea (Cladocera) limbs, but it is unclear whether the increased limb specialization in different cladoceran orders is the result of shared ancestry or parallel evolution. We inferred a robust among-order cladoceran phylogeny using small-subunit and large-subunit rRNA nuclear gene sequences, signature sequence regions, novel stem-loops and secondary structure morphometrics to assess the phylogenetic distribution of limb specialization. The sequence-based and structural rRNA morphometric phylogenies were congruent and suggested monophyly of orders with raptorial limbs, but paraphyly of orders with reduced numbers of specialized limbs. These results highlight the utility of complex molecular structural characters in resolving ancient rapid radiations.     

The mitochondrial phylogeny of an ancient lineage of ray-finned fishes (Polypteridae) with implications for the evolution of body elongation,pelvic fin loss,and craniofacial morphology in Osteichthyes

Background  

The family Polypteridae, commonly known as "bichirs", is a lineage that diverged early in the evolutionary history of Actinopterygii (ray-finned fish), but has been the subject of far less evolutionary study than other members of that clade. Uncovering patterns of morphological change within Polypteridae provides an important opportunity to evaluate if the mechanisms underlying morphological evolution are shared among actinoptyerygians, and in fact, perhaps the entire osteichthyan (bony fish and tetrapods) tree of life. However, the greatest impediment to elucidating these patterns is the lack of a well-resolved, highly-supported phylogenetic tree of Polypteridae. In fact, the interrelationships of polypterid species have never been subject to molecular phylogenetic analysis. Here, we infer the first molecular phylogeny of bichirs, including all 12 recognized species and multiple subspecies using Bayesian analyses of 16S and cyt-b mtDNA. We use this mitochondrial phylogeny, ancestral state reconstruction, and geometric morphometrics to test whether patterns of morphological evolution, including the evolution of body elongation, pelvic fin reduction, and craniofacial morphology, are shared throughout the osteichthyan tree of life.     

衣藻属的系统发育分析——基于形态形状和nrDNA ITS序列

通过实验分析莱茵衣藻 ( Chlamydomonas reinhardtii) 1个种和互连网获得衣藻属 1 5个种及丝藻属 1个种 ( Ulothrix zonata) ,共 1 7个种的 nr DNA ITS序列 ,并以 U.zonata为外类群 ,采用计算机分析软件包对其进行分析及构建分子系统发育树图。同时以 1 2个传统分类性状 ,对此 1 6种衣藻构建数据矩阵 ;以 U.zonata动孢子的相应性状为外类群原始性状 ,用Wagner法在计算机上对其进行分枝分析 ;然后比较并分析分子系统树和表征性状分支分析树的异同。初步尝试以 ITS分子序列系统发育分析作为传统性状分析的补充来研究衣藻种间的亲缘关系。     

Are pollen fossils useful for calibrating relaxed molecular clock dating of phylogenies? A comparative study using Myrtaceae

The identification and application of reliable fossil calibrations represents a key component of many molecular studies of evolutionary timescales. In studies of plants, most paleontological calibrations are associated with macrofossils. However, the pollen record can also inform age calibrations if fossils matching extant pollen groups are found. Recent work has shown that pollen of the myrtle family, Myrtaceae, can be classified into a number of morphological groups that are synapomorphic with molecular groups. By assembling a data matrix of pollen morphological characters from extant and fossil Myrtaceae, we were able to measure the fit of 26 pollen fossils to a molecular phylogenetic tree using parsimony optimisation of characters. We identified eight Myrtaceidites fossils as appropriate for calibration based on the most parsimonious placements of these fossils on the tree. These fossils were used to inform age constraints in a Bayesian phylogenetic analysis of a sequence alignment comprising two sequences from the chloroplast genome (matK and ndhF) and one nuclear locus (ITS), sampled from 106 taxa representing 80 genera. Three additional analyses were calibrated by placing pollen fossils using geographic and morphological information (eight calibrations), macrofossils (five calibrations), and macrofossils and pollen fossils in combination (12 calibrations). The addition of new fossil pollen calibrations led to older crown ages than have previously been found for tribes such as Eucalypteae and Myrteae. Estimates of rate variation among lineages were affected by the choice of calibrations, suggesting that the use of multiple calibrations can improve estimates of rate heterogeneity among lineages. This study illustrates the potential of including pollen-based calibrations in molecular studies of divergence times.     

A web based tool to merge geometric morphometric data from multiple characters

Geometric morphometrics (GM) is an important method of shape analysis and increasingly used in a wide range of scientific disciplines.Presently,a single character comparison system of geometric morphometric data is used in almost all empirical studies,and this approach is sufficient for many scientific problems.However,the estimation of overall similarity among taxa or objects based on multiple characters is crucial in a variety of contexts (e.g.(semi-)automated identification,phenetic relationships,tracing of character evolution,phylogenetic reconstruction).Here we propose a new web-based tool for merging several geometric morphometrics data files from multiple characters into a single data file.Using this approach information from multiple characters can be compared in combination and an overall similarity estimate can be obtained in a convenient and geometrically rigorous manner.To illustrate our method,we provide an example analysis of 25 dung beetle species with seven Procrustes superimposed landmark data files representing the morphological variation of body features:the epipharynx,right mandible,pronotum,elytra,hindwing,and the metendosternite in dorsal and lateral view.All seven files were merged into a single one containing information on 649 landmark locations.The possible applications of such merged data files in different fields of science are discussed.     

Morphological and molecular characterization of two populations of <Emphasis Type="Italic">Aphelenchus avenae</Emphasis> (Nematoda: Aphelenchidae) from Iran and their phylogenetic relationships

Soil samples were collected from the rhizosphere of faba bean (Vicia faba L.) in Khuzestan province, south-western Iran. Many of the localities were positive for the presence of Aphelenchus avenae. The morphological and morphometric characters of the two Iranian populations are discussed and illustrated based on morphological and morphometrics data. Additionally, sequences of the D2-D3 expansion segments of 28S rRNA gene for two populations were used for molecular phylogenetic analysis. One population was without male and formed a separate branch in the phylogenetic tree. Results indicate high genetic variation among A. avenae populations from different geographic regions.     

Molecular phylogeny of the Gasterosteidae: the importance of using multiple genes

The Gasterosteidae is an important model system in evolutionary biology. Phylogenetic relationships have previously been constructed based upon morphological and behavioral data, but to date no one has investigated those relationships using molecular characters. This paper reports the results of an analysis using sequences from five mitochondrial genes (12S rRNA, 16S rRNA, cytochrome b, ATPase 6, and control region). Phylogenetic analysis of 2879 bp produced a single most parsimonious tree with a consistency index of 72.6%. That tree agrees with the behavior+morphology topology, with one exception: Apeltes is placed as the sister group to Pungitius+Culaea, rather than as the sister-group of (Pungitius+Culaea)+Gasterosteus. This study highlights the importance of using multiple mitochondrial genes in a phylogenetic analysis. Separately, the five genes produced four significantly different topologies, and might have given different versions of gasterosteid relationships had only one or two genes been sequenced. It is thus imperative that comparative biologists choose only trees that contain multiple mitochondrial genes as the basis for studies of evolutionary patterns and processes.     

Ribosomal RNA secondary structure: compensatory mutations and implications for phylogenetic analysis

Using sequence data from the 28S ribosomal RNA (rRNA) genes of selected vertebrates, we investigated the effects that constraints imposed by secondary structure have on the phylogenetic analysis of rRNA sequence data. Our analysis indicates that characters from both base-pairing regions (stems) and non-base-pairing regions (loops) contain phylogenetic information, as judged by the level of support of the phylogenetic results compared with a well-established tree based on both morphological and molecular data. The best results (the greatest level of support of well-accepted nodes) were obtained when the complete data set was used. However, some previously supported nodes were resolved using either the stem or loop bases alone. Stem bases sustain a greater number of compensatory mutations than would be expected at random, but the number is < 40% of that expected under a hypothesis of perfect compensation to maintain secondary structure. Therefore, we suggest that in phylogenetic analyses, the weighting of stem characters be reduced by no more than 20%, relative to that of loop characters. In contrast to previous suggestions, we do not recommend weighting of stem positions by one-half, compared with that of loop positions, because this overcompensates for the constraints that selection imposes on the secondary structure of rRNA.      

Mosaics of convergences and noise in morphological phylogenies: what's in a viverrid-like carnivoran?

Adaptive convergence in morphological characters has not been thoroughly investigated, and the processes by which phylogenetic relationships may be misled by morphological convergence remains unclear. We undertook a case study on the morphological evolution of viverrid-like feliformians (Nandinia, Cryptoprocta, Fossa, Eupleres, Prionodon) and built the largest morphological matrix concerning the suborder Feliformia to date. A total of 349 characters grouped into four anatomical partitions were used for all species of Viverridae and viverrid-like taxa plus representatives of the Felidae, Hyaenidae, Herpestidae, and one Malagasy mongoose. Recent molecular phylogenetic analyses suggest that viverrid-like morphotypes appeared independently at least three times during feliformian evolution. We thus used a synthetic molecular tree to assess morphological evolutionary patterns characterizing the viverrid-like taxa. We examined phylogenetic signal, convergence and noise in morphological characters using (a) tree-length distribution (g1), (b) partitioned Bremer support, (c) RI values and their distribution, (d) respective contributions of diagnostic synapomorphies at the nodes for each partition, (e) patterns of shared convergences among viverrid-like taxa and other feliformian lineages, (f) tree-length differences among alternative hypotheses, and (g) the successive removal of convergent character states from the original matrix. In addition, the lability of complex morphological structures was assessed by mapping them onto the synthetic molecular tree. The unconstrained morphological analysis yielded phylogenetic groupings that closely reflected traditional classification. The use of a synthetic molecular tree (constraint) combined with our thorough morphological investigations revealed the mosaics of convergences likely to have contributed to part of the historical uncertainty over viverrid classification. It also showed that complex morphological structures could be subjected to reversible evolutionary trends. The morphological matrix proved useful in characterizing several feliformian clades with diagnostic synapomorphies. These results support the removal from the traditionally held Viverridae of several viverrid-like taxa into three distinct families: Nandiniidae (Nandinia), Prionodontidae (Prionodon), and the newly defined Eupleridae (including Cryptoprocta, Fossa, Eupleres plus all "mongoose-like" Malagasy taxa). No clearly "phylogenetically misleading" data subsets could be identified, and the great majority of morphological convergences appeared to be nonadaptive. The multiple approaches used in this study revealed that the most disruptive element with regards to morphological phylogenetic reconstruction was noise, which blured the expression of phylogenetic signal. This study demonstrates the crucial need to consider independent (molecular) phylogenies in order to produce reliable evolutionary hypotheses and should promote a new approach to the definition of morphological characters in mammals. [Constrained analysis; convergence; evolutionary scenario; Feliformia; morphology; noise; phylogenetic signal; phylogeny; Viverridae.].     

Evolutionary convergence of body shape and trophic morphology in cichlids from Lake Tanganyika

A recent phylogenetic analysis of mitochondrial DNA sequences from eretmodine cichlids from Lake Tanganyika indicated independent origins of strikingly similar trophic specializations, such as dentition characters. Because genetic lineages with similar trophic morphologies were not monophyletic, but instead were grouped with lineages with different trophic phenotypes, raises the question of whether trophic morphology covaries with additional morphological characters. Here, we quantified morphological variation in body shape and trophically associated traits among eretmodine cichlids using linear measurements, meristic counts and landmark‐based geometric morphometrics. A canonical variates analysis (CVA) delineated groups consistent with dentition characters. Multivariate regression and partial least squares analyses indicated that body shape was significantly associated with trophic morphology. When the phylogenetic relationships among taxa were taken into account using comparative methods, the covariation of body shape and trophic morphology persisted, indicating that phylogenetic relationships were not wholly responsible for the observed pattern. We hypothesize that trophic ecology may be a key factor promoting morphological differentiation, and postulate that similar body shape and feeding structures have evolved multiple times in independent lineages, enabling taxa to invade similar adaptive zones.     

Phylogenetic relationships of the family Axinellidae (Porifera: Demospongiae) using morphological and molecular data

Alvarez, B., Crisp, M.D., Driver, F., Hooper, J.N.A. & Van Soest, R.W.M. (2000). Phylogenetic relationships of the family Axinellidae (Porifera: Demospongiae) using morphological and molecular data. —Zoologica Scripta, 29, 169–198. Twenty‐seven species of marine sponges belonging to Axinellidae and related groups (Halichondriidae, Dictyonellidae, Agelasida) were selected to test the monophyly of Axinellidae and investigate their phylogenetic relationships using parsimony and maximum likelihood methods. Partial 28S rDNA sequences, including the D3 domain, and traditional morphological characters (mainly skeletal ones) were used independently to construct phylogenetic trees. Sequences were aligned using the appropriate model of secondary structure of the RNA and compared to that produced by the multiple sequence alignment program, ClustalW. The alignment using secondary structure constraints produced a better estimate of the phylogeny and was demonstrated to be an effective and objective method. Results of the cladistic analyses of the molecular and morphological data sets were not fully congruent; the morphological data suggest that Axinellidae is monophyletic, however, the molecular data suggest that it is nonmonophyletic. The single most‐parsimonious tree derived from the molecular data showed that species of Axinella (except A. polypoides) are united in a clade that is more closely related to members of Agelasida than to other species of Axinellidae; the remaining members of Axinellidae form a monophyletic group that is closely related to the families Dictyonellidae and Halichondriidae. The consensus tree of 20 most‐parsimonious trees from the morphological analysis, on the other hand, showed that all the sampled species of Axinellidae belong to a monophyletic group which is closely related to the species of Dictyonellidae and Halichondriidae. Only two branches were identical in both cladograms, the one uniting the species of Ptilocaulis and Reniochalina and the one with the species of Dictyonellidae. The robustness of the molecular and morphological trees (or parts of the trees), was tested using bootstrap, jack‐knife, PTP and T‐PTP tests. The results of the PTP test were significant indicating significant cladistic structure in both data sets. The bootstrap and jack‐knife values indicate that the molecular tree is in general better supported than the morphological one. The lack of morphological characters and the homoplastic nature of some may explain the weak support of the morphological tree. A T‐PTP test of nonmonophyly showed that the nonmonophyly of Axinellidae, as indicated by the results of the molecular analysis, is not significant; however, a T‐PTP test of monophyly of Axinellidae, as indicated by the morphological tree, produced significant results. This indicates that the monophyly of Axinellidae based on morphological data cannot be rejected; the family however, cannot be defined in terms of a unique diagnostic character common to all members of the ingroup. Tests of heterogeneity (reciprocal T‐PTP and partition homogeneity test) indicated that the data partitions are heterogeneous, which could be due to sampling errors (in either data set) or differences in the underlying phylogenies; therefore data were not combined in a single analysis. Further, both data sets are unequally sized (95 informative molecular characters vs. 16 informative morphological characters), which means that the molecular signal could swamp the morphological signal if the data is combined. Nonmonophyly of Axinellidae is supported by chemical and genetic evidence available in the literature and DNA sequences data of axinellid species from New Zealand. However, this needs to be confirmed using independent evidence from different genes (or gene regions), biochemistry, histology or cell ultrastructure. Therefore, no changes to the taxonomic position of the family in the higher classification are proposed at this stage.     

Cladistic analysis of self‐grooming indicates a single origin of eusociality in corbiculate bees (Hymenoptera: Apidae)

Behavioural traits have been used extensively in recent years as an important character source for making phylogenetic inferences. The phylogenetic positions of the members of the Apini subtribe are increasingly being debated, and new characters must be examined. We analysed the presence and absence of certain behavioural patterns, as well as the sequences of some of these patterns, to generate 79 characters. Eleven species comprised the ingroup, and Xylocopini comprised the outgroup. Parsimony analysis showed that the most parsimonious tree was (Euglossina(Bombina(Apina+Meliponina))). This topology is consistent with most studies that use morphological data and the few that use behavioural data, which suggests that advanced eusociality arose only once in a common ancestor of the clade Apina plus Meliponina; however, this hypothesis is inconsistent with our molecular data. Thus we considered behavioural, molecular, and morphological data and recovered the same topology, in which eusociality has a single origin in corbiculate bees.     

A phylogenetic analysis of Coelopidae (Diptera) based on morphological and DNA sequence data

The phylogenetic relationships of 22 species of Coelopidae are reconstructed based on a data matrix consisting of morphological and DNA sequence characters (16S rDNA, EF-1alpha). Optimal gap and transversion costs are determined via a sensitivity analysis and both equal weighting and a transversion cost of 2 are found to perform best based on taxonomic congruence, character incongruence, and tree support. The preferred phylogenetic hypothesis is fully resolved and well-supported by jackknife, bootstrap, and Bremer support values, but it is in conflict with the cladogram based on morphological characters alone. Most notably, the Coelopidae and the genus Coelopa are not monophyletic. However, partitioned Bremer Support and an analysis of node stability under different gap and transversion costs reveal that the critical clades rendering these taxa non-monophyletic are poorly supported. Furthermore, the monophyly of Coelopidae and Coelopa is not rejected in analyses using 16S rDNA that was manually aligned. The resolution of the tree based on this reduced data sets is, however, lower than for the tree based on the full data sets. Partitioned Bremer support values reveal that 16S rDNA characters provide the largest amount of tree support, but the support values are heavily dependent on analysis conditions. Problems with direct comparison of branch support values for trees derived using fixed alignments with those obtained under optimization alignment are discussed. Biogeographic history and available behavioral and genetic data are also discussed in light of this first cladogram for Coelopidae based on a quantitative phylogenetic analysis.     

A priori assumptions about characters as a cause of incongruence between molecular and morphological hypotheses of primate interrelationships

When molecules and morphology produce incongruent hypotheses of primate interrelationships, the data are typically viewed as incompatible, and molecular hypotheses are often considered to be better indicators of phylogenetic history. However, it has been demonstrated that the choice of which taxa to include in cladistic analysis as well as assumptions about character weighting, character state transformation order, and outgroup choice all influence hypotheses of relationships and may positively influence tree topology, so that relationships between extant taxa are consistent with those found using molecular data. Thus, the source of incongruence between morphological and molecular trees may lie not in the morphological data themselves but in assumptions surrounding the ways characters evolve and their impact on cladistic analysis. In this study, we investigate the role that assumptions about character polarity and transformation order play in creating incongruence between primate phylogenies based on morphological data and those supported by multiple lines of molecular data. By releasing constraints imposed on published morphological analyses of primates from disparate clades and subjecting those data to parsimony analysis, we test the hypothesis that incongruence between morphology and molecules results from inherent flaws in morphological data. To quantify the difference between incongruent trees, we introduce a new method called branch slide distance (BSD). BSD mitigates many of the limitations attributed to other tree comparison methods, thus allowing for a more accurate measure of topological similarity. We find that releasing a priori constraints on character behavior often produces trees that are consistent with molecular trees. Case studies are presented that illustrate how congruence between molecules and unconstrained morphological data may provide insight into issues of polarity, transformation order, homology, and homoplasy.     

Are monophyly and synapomorphy the same or different? Revisiting the role of morphology in phylogenetics

Species are groups of organisms, marked out by reproductive (replicative) properties. Monophyletic taxa are groups of species, marked out by synapomorphies. In Nelson’s analysis, monophyly and synapomorphy are identical relations. Monophyly and synapomorphy, however, are not equivalent relations. Monophyly is epistemically not accessible, whereas synapomorphy is epistemically accessible through character analysis. Monophyly originates with speciation, the two sister‐species that come into being through the splitting of the ancestral species lineage forming a monophyletic taxon at the lowest level of inclusiveness. Synapomorphy provides the empirical evidence for monophyly, inferred from character analysis in the context of a three‐taxon statement. If synapomorphy and monophyly were equivalent, phylogenetic systematists should find a single tree, instead of multiple equally parsimonious trees. Understanding synapomorphy as the relevant evidence for phylogenetic inference reveals a category mistake in contemporary phylogenetics: the treatment of morphological characters mapped onto molecular trees as synapomorphies and homoplasies. The mapping of morphological characters onto nodes of a molecular tree results in an empirically empty procedure for synapomorphy discovery. Morphological synapomorphies and homoplasies can only be discovered by morphological and combined analyses. The use of morphology in phylogenetic inference in general is defended by examples from Laurales and Squamata in particular. To make empirical evidence scientifically relevant in order to search for concordance, or dis‐concordance, of phylogenetic signal, is certainly more fruitful for phylogenetics than the uncritical mapping of morphological traits on a molecular scaffold. © The Willi Hennig Society 2010.     

Phylogenetic relationships of Steinernema Travassos, 1927 (Nematoda: Cephalobina: Steinernematidae) based on nuclear, mitochondrial and morphological data

Entomopathogenic nematodes of the genus Steinernema are lethal parasites of insects that are used as biological control agents of several lepidopteran, dipteran and coleopteran pests. Phylogenetic relationships among 25 Steinernema species were estimated using nucleotide sequences from three genes and 22 morphological characters. Parsimony analysis of 28S (LSU) sequences yielded a well-resolved phylogenetic hypothesis with reliable bootstrap support for 13 clades. Parsimony analysis of mitochondrial DNA sequences (12S rDNA and cox 1 genes) yielded phylogenetic trees with a lower consistency index than for LSU sequences, and with fewer reliably supported clades. Combined phylogenetic analysis of the 3-gene dataset by parsimony and Bayesian methods yielded well-resolved and highly similar trees. Bayesian posterior probabilities were high for most clades; bootstrap (parsimony) support was reliable for approximately half of the internal nodes. Parsimony analysis of the morphological dataset yielded a poorly resolved tree, whereas total evidence analysis (molecular plus morphological data) yielded a phylogenetic hypothesis consistent with, but less resolved than trees inferred from combined molecular data. Parsimony mapping of morphological characters on the 3-gene trees showed that most structural features of steinernematids are highly homoplastic. The distribution of nematode foraging strategies on these trees predicts that S. hermaphroditum, S. diaprepesi and S. longicaudum (US isolate) have cruise forager behaviours.     

Assessing phylogenetic resolution among mitochondrial, nuclear, and morphological datasets in Nothonotus darters (Teleostei: Percidae)

External morphological characters are the basis of our understanding of diversity and species relationships in many darter clades. The past decade has seen the publication of many studies utilizing mtDNA sequence data to investigate darter phylogenetics, but only recently have nuclear genes been used to investigate darter relationships. Despite a long tradition of use in darter systematics few studies have examined the phylogenetic utility of external morphological characters in estimating relationships among species in darter clades. We present DNA sequence data from the mitochondrial cytochrome b (cytb) gene, the nuclear encoded S7 intron 1, and discretely coded external morphological characters for all 20 species in the darter clade Nothonotus. Bayesian phylogenetic analyses result in phylogenies that are in broad agreement with previous studies. The cytb gene tree is well resolved, while the nuclear S7 gene tree lacks phylogenetic resolution, node support, and is characterized by a lack of reciprocal monophyly for many of the Nothonotus species. The phylogenies resulting from analysis of the morphological dataset lack resolution, but nodes present are found in the cytb and S7 gene trees. The highest resolution and node support is found in the Bayesian combined data phylogeny. Based on our results we propose continued exploration of the phylogenetic utility of external morphological characters in other darter clades. Given the extensive lack of reciprocal monophyly of species observed in the S7 gene tree we predict that nuclear gene sequences may have limited utility in intraspecific phylogeographic studies of Nothonotus darters.     

Multiple protein structure alignment.

A method was developed to compare protein structures and to combine them into a multiple structure consensus. Previous methods of multiple structure comparison have only concatenated pairwise alignments or produced a consensus structure by averaging coordinate sets. The current method is a fusion of the fast structure comparison program SSAP and the multiple sequence alignment program MULTAL. As in MULTAL, structures are progressively combined, producing intermediate consensus structures that are compared directly to each other and all remaining single structures. This leads to a hierarchic "condensation," continually evaluated in the light of the emerging conserved core regions. Following the SSAP approach, all interatomic vectors were retained with well-conserved regions distinguished by coherent vector bundles (the structural equivalent of a conserved sequence position). Each bundle of vectors is summarized by a resultant, whereas vector coherence is captured in an error term, which is the only distinction between conserved and variable positions. Resultant vectors are used directly in the comparison, which is weighted by their error values, giving greater importance to the matching of conserved positions. The resultant vectors and their errors can also be used directly in molecular modeling. Applications of the method were assessed by the quality of the resulting sequence alignments, phylogenetic tree construction, and databank scanning with the consensus. Visual assessment of the structural superpositions and consensus structure for various well-characterized families confirmed that the consensus had identified a reasonable core.