Limitations of relative apparent synapomorphy analysis (RASA) for measuring phylogenetic signal.

In this paper we use hypothetical and empirical data matrices to evaluate the ability of relative apparent synapomorphy analysis (RASA) to measure phylogenetic signal, select outgroups, and identify terminals subject to long-branch attraction. In all cases, except for equal character-state frequencies, RASA indicated extraordinarily high levels of phylogenetic information for hypothetical data matrices that are uninformative regarding relationships among the terminals. Yet, regardless of the number of characters or character-state frequencies, RASA failed to detect phylogenetic signal for hypothetical matrices with strong phylogenetic signal. In our empirical example, RASA indicated increasing phylogenetic signal for matrices for which the strict consensus of the most parsimonious trees is increasingly poorly resolved, clades are increasingly poorly supported, and for which many relationships are in conflict with more widely sampled analyses. RASA is an ineffective approach to identify outgroup terminal(s) with the most plesiomorphic character states for the ingroup. Our hypothetical example demonstrated that RASA preferred outgroup terminals with increasing numbers of convergent character states with ingroup terminals, and rejected the outgroup terminal with all plesiomorphic character states. Our empirical example demonstrated that RASA, in all three cases examined, selected an ingroup terminal, rather than an outgroup terminal, as the best outgroup. In no case was one of the two outgroup terminals even close to being considered the optimal outgroup by RASA. RASA is an ineffective means of identifying problematic long-branch terminals. In our hypothetical example, RASA indicated a terminal as being a problematic long-branch terminal in spite of the terminal being on a zero-length branch and having no possibility of undergoing long-branch attraction with another terminal. RASA also failed to identify actual problematic long-branch terminals that did undergo long-branch attraction, but only after following Lyons-Weiler and Hoelzer's (1997) three-step process to identify and remove terminals subject to long-branch attraction. We conclude that RASA should not be used for any of these purposes.     

On RASA

Relative Apparent Synapomorphy Analysis (RASA) was recently proposed as a way to measure phylogenetic signal, choose "optimal" outgroups, find long branches, and eliminate long-branch attraction. In this paper it is shown with simple examples that RASA has several problems. The null regression model used by RASA to measure phylogenetic signal does not have a straightforward relation to phylogenetic information. RASA detects long branches, but does not discriminate between long branches that mislead an analysis and those that do not. Rooted RASA, which is used for "optimal outgroup analysis," is shown to be an inappropriate measure of "+esiomorphy content".     

Can incomplete taxa rescue phylogenetic analyses from long-branch attraction?

Taxon sampling may be critically important for phylogenetic accuracy because adding taxa can help to subdivide misleading long branches. Although the idea that added taxa can break up long branches was exemplified by a study of "incomplete" fossil taxa, the issue of taxon completeness (i.e., proportion of missing data) has been largely ignored in most subsequent discussions of taxon sampling and long-branch attraction. In this article, I use simulations to test the ability of incomplete taxa to subdivide long branches and improve phylogenetic accuracy in situations of potential long-branch attraction. The results show that for most methods and conditions examined, adding taxa that are only 50% complete may provide similar benefits to adding the same number of complete taxa (suggesting that the advantages of increased taxon sampling may be obtained with less data than previously considered). For parsimony, taxa that are less complete (5% to 25% complete) may often have limited ability to rescue analyses from long-branch attraction. In contrast, highly incomplete taxa can be surprisingly beneficial when using model-based methods. The results also suggest the importance of model-based methods in phylogenetic analyses that combine molecular and fossil data.     

Is the Felsenstein zone a fly trap?

Although long-branch attraction, the incorrect grouping of long lineages in a phylogeny because of systematic error, has been identified as a potential source of error in phylogenetic analysis for almost two decades, no empirical examples of the phenomenon exist. Here, I outline several criteria for identifying long-branch attraction and apply these criteria to 18S ribosomal DNA (rDNA) sequence data for 13 insects. Parsimony and minimum evolution with p distances group the two longest branches together (those leading to Strepsiptera and Diptera). Simulation studies show that the long branches are long enough to attract. When a tree is assumed in which Strepsiptera and Diptera are separated and many data sets are simulated for that tree (using the parameter estimates for that tree for the original data), parsimony analysis of the simulated data consistently groups Strepsiptera and Diptera. Analyses of the 18S rDNA sequences using methods that are less sensitive to the problem of long-branch attraction estimate trees in which the long branches are separate.     

Untangling long branches: identifying conflicting phylogenetic signals using spectral analysis, neighbor-net, and consensus networks

Long-branch attraction is a well-known source of systematic error that can mislead phylogenetic methods; it is frequently invoked post hoc, upon recovering a different tree from the one expected based on prior evidence. We demonstrate that methods that do not force the data onto a single tree, such as spectral analysis, Neighbor-Net, and consensus networks, can be used to detect conflicting signals within the data, including those caused by long-branch attraction. We illustrate this approach using a set of taxa from three unambiguously monophyletic families within the Pelecaniformes: the darters, the cormorants and shags, and the gannets and boobies. These three families are universally acknowledged as forming a monophyletic group, but the relationship between the families remains contentious. Using sequence data from three mitochondrial genes (12S, ATPase 6, and ATPase 8) we demonstrate that the relationship between these three families is difficult to resolve because they are separated by a short internal branch and there are conflicting signals due to long-branch attraction, which are confounded with nonhomogeneous sequence evolution across the different genes. Spectral analysis, Neighbor-Net, and consensus networks reveal conflicting signals regarding the placement of one of the darters, with support found for darter monophyly, but also support for a conflicting grouping with the outgroup, pelicans. Furthermore, parsimony and maximum-likelihood analyses produced different trees, with one of the two most parsimonious trees not supporting the monophyly of the darters. Monte Carlo simulations, however, were not sensitive enough to reveal long-branch attraction unless the branches are longer than those actually observed. These results indicate that spectral analysis, Neighbor-Net, and consensus networks offer a powerful approach to detecting and understanding the source of conflicting signals within phylogenetic data.     

Long-Branch Abstractions

Recent attention has been focused on the sensitivities of various tree reconstructing algorithms to sequence rate heterogeneity (long-branch attraction). Phylogenetic conclusions from two recent empirical studies have been indicted as artifacts attributable to long-branch attraction. Siddall et al. (1995) concluded that Myxozoa are cnidarians and sister group to Polypodium based on 18S rDNA and morphology. Hanelt et al. (1996) argued that this result is due to long-branch attraction. Whiting et al. (1997) concluded that the Strepsiptera are sister group to Diptera based on parsimony analysis of 18S rDNA, 28S rDNA, and morphology. Huelsenbeck (1997) argued that this result also is attributable to long-branch attraction. We demonstrate that the analyses and arguments dismissing these results as the effects of long-branch attraction are fundamentally flawed. The criteria employed by these authors were applied arbitrarily by them to the groups that they did not want, and yet using those same criteria, there is more reason to exclude other taxa besides Polypodium and there is more reason to disbelieve monophyly of Diptera than monophyly of Strepsiptera with Diptera. Moreover, it is asserted, long-branch attraction cannot explain the presence of nematocysts in Myxozoa and halteres in Strepsiptera. For these reasons, and in light of the demonstration that long branches cannot attract each other in their mutual absence, we conclude that the monophyly of Myxozoa + Polypodium and Strepsiptera + Diptera is not due to long-branch attraction. We suggest that maximum likelihood methods are extremely sensitive to taxon and character sampling and that these data sets are demonstrative of the long-branch repulsion problem.     

Long-branch attraction and the rDNA model of early eukaryotic evolution

Phylogenetic analyses of ribosomal RNA genes have become widely accepted as a framework for understanding broad-scale eukaryotic evolution. Nevertheless, conflicts exist between the phylogenetic placement of certain taxa in rDNA trees and their expected position based on fossils, cytology, or protein-encoding gene sequences. For example, pelobiont amoebae appear to be an ancient group based on cytologic features, but they are not among the early eukaryotic brances in rDNA analyses. In this report, the derived position of pelobionts in rDNA trees is shown to be unreliable and likely due to long-branch attraction among more deeply branching sequences. All sequences that branch near the base of the tree suffer from relatively high apparent substitution rates and exhibit greater variation in ssu rDNA sequence length. Moreover, the order of the branches leading from the root of the eukaryotic tree to the base of the so-called "crown taxa" is consistent with a sequential attachment, due to "long-branch" effects, of sequences with increasing rates of evolution. These results suggest that the basal eurkaryotic topology drawn from rDNA analyses may be, in reality, an artifact of variation in the rate of molecular evolution among eukaryotic taxa.     

Long branch attraction effects and the status of "basal eukaryotes": phylogeny and structural analysis of the ribosomal RNA gene cluster of the free-living diplomonad Trepomonas agilis

The three taxa emerging at the base of the eukaryotic ribosomal RNA phylogenetic tree (Diplomonadida, Microspora, and Parabasalia) include a wide array of parasitic species. and some free-living organisms that appear to be derived from a parasitic ancestry. The basal position of these taxa, which lack mitochondria, has recently been questioned. I sequenced most of the ribosomal RNA gene cluster of the free-living diplomonad Trepomonas agilis and a secondary structure model was reconstructed for the SSU rRNA. I conducted a RASA matrix analysis to identify, independently from tree reconstruction, putative long branch attraction effects in the data matrix. The results show that each of the basal clades and the euglenozoan clade act, indeed, as long branches and may have been engaged in a process of accelerated rate of evolution. A nucleotide signature analysis was conducted in the conserved regions for positions defining the three great domains of life (Eubacteria, Archea, and Eukaryota). For the three basal taxa, this analysis showed the presence of a significant number of different non-eukaryotic nucleotides. A precise study of the nature and location of these nucleotides led to conclusions supporting the results of the RASA analysis. Altogether, these findings suggest that the basal placement of these taxa in the SSU ribosomal RNA phylogenetic tree is artifactual, and flawed by long branch attraction effects.     

Relationships within Cornales and circumscription of Cornaceae-matK and rbcL sequence data and effects of outgroups and long branches

Phylogenetic relationships in Cornales were assessed using sequences rbcL and matK. Various combinations of outgroups were assessed for their suitability and the effects of long branches and outgroups on tree topology were examined using RASA 2.4 prior to conducting phylogenetic analyses. RASA identified several potentially problematic taxa having long branches in individual data sets that may have obscured phylogenetic signal, but when data sets were combined RASA no longer detected long branch problems. t(RASA) provides a more conservative measurement for phylogenetic signal than the PTP and skewness tests. The separate matK and rbcL sequence data sets were measured as not containing phylogenetic signal by RASA, but PTP and skewness tests suggested the reverse [corrected]. Nonetheless, the matK and rbcL sequence data sets suggested relationships within Cornales largely congruent with those suggested by the combined matK-rbcL sequence data set that contains significant phylogenetic signal as measured by t(RASA), PTP, and skewness tests. Our analyses also showed that a taxon having a long branch on the tree may not be identified as a "long-branched" taxon by RASA. The long branches identified by RASA had little effect on the arrangement of other taxa in the tree, but the placements of the long-branched taxa themselves were often problematic. Removing the long-branched taxa from analyses generally increased bootstrap support, often substantially. Use of non-optimal outgroups (as identified by RASA) decreased phylogenetic resolution in parsimony analyses and suggested different relationships in maximum likelihood analyses, although usually weakly supported clades (less than 50% support) were impacted. Our results do not recommend using t(RASA) as a sole criterion to discard data or taxa in phylogenetic analyses, but t(RASA) and the taxon variance ratio obtained from RASA may be useful as a guide for improved phylogenetic analyses. Results of parsimony and ML analyses of the sequence data using optimal outgroups suggested by RASA revealed four major clades within Cornales: (1) Curtisia-Grubbia, (2) Cornus-Alangium, (3) Nyssa-Camptotheca-Davidia-Mastixia-Diplopanax, and (4) Hydrangeaceae-Loasaceae, with clades (2) and (3) forming a monophyletic group sister to clade (4) and clade (1) sister to the remainder of Cornales. However, there was not strong bootstrap support for relationships among the major clades. The placement of Hydrostachys could not be reliably determined, although most analyses place the genus within Hydrangeaceae; ML analyses, for example, placed the genus as the sister of Hydrangeeae. Our results supported a Cornales including the systematically problematic Hydrostachys, a Cornaceae consisting of Cornus and Alangium, a Nyssaceae consisting of Nyssa and Camptotheca, a monogeneric Davidiaceae, a Mastixiaceae consisting of Mastixia and Diplopanax, and an expanded Grubbiaceae consisting of Grubbia and Curtisia, and two larger families, Hydrangeaceae and Loasaceae.     

类群取样与系统发育分析精确度之探索

Appropriate and extensive taxon sampling is one of the most important determinants of accurate phylogenetic estimation. In addition, accuracy of inferences about evolutionary processes obtained from phylogenetic analyses is improved significantly by thorough taxon sampling efforts. Many recent efforts to improve phylogenetic estimates have focused instead on increasing sequence length or the number of overall characters in the analysis, and this often does have a beneficial effect on the accuracy of phylogenetic analyses. However, phylogenetic analyses of few taxa (but each represented by many characters) can be subject to strong systematic biases, which in turn produce high measures of repeatability (such as bootstrap proportions) in support of incorrect or misleading phylogenetic results. Thus, it is important for phylogeneticists to consider both the sampling of taxa, as well as the sampling of characters, in designing phylogenetic studies. Taxon sampling also improves estimates of evolutionary parameters derived from phylogenetic trees, and is thus important for improved applications of phylogenetic analyses. Analysis of sensitivity to taxon inclusion, the possible effects of long-branch attraction, and sensitivity of parameter estimation for model-based methods should be a part of any careful and thorough phylogenetic analysis. Furthermore, recent improvements in phylogenetic algorithms and in computational power have removed many constraints on analyzing large, thoroughly sampled data sets. Thorough taxon sampling is thus one of the most practical ways to improve the accuracy of phylogenetic estimates, as well as the accuracy of biological inferences that are based on these phylogenetic trees.     

Is it better to add taxa or characters to a difficult phylogenetic problem?

The effects on phylogenetic accuracy of adding characters and/or taxa were explored using data generated by computer simulation. The conditions of this study were constrained but allowed for systematic investigation of certain parameters. The starting point for the study was a four-taxon tree in the "Felsenstein zone," representing a difficult phylogenetic problem with an extreme situation of long branch attraction. Taxa were added sequentially to this tree in a manner specifically designed to break up the long branches, and for each tree data matrices of different sizes were simulated. Phylogenetic trees were reconstructed from these data using the criteria of parsimony and maximum likelihood. Phylogenetic accuracy was measured in three ways: (1) proportion of trees that are completely correct, (2) proportion of correctly reconstructed branches in all trees, and (3) proportion of trees in which the original four-taxon statement is correctly reconstructed. Accuracy improved dramatically with the addition of taxa and much more slowly with the addition of characters. If taxa can be added to break up long branches, it is much more preferable to add taxa than characters.     

Can sensitivity analysis help to detect long-branch attraction?

The behavior of nodal support and stability in the presence of long branches were examined under simulations and an analysis of real data. Relatively short branches were typically correctly resolved, received high bootstrap support, and were stable in sensitivity analyses. Longer branches received lower support and stability measures, and were often incorrectly resolved due to the long-branch attraction. Support and stability does not always correlate, and in the case of mammalian mitochondrial tree, well supported but unstable nodes were typically associated with long-branch attraction. Very long branches, on the other hand, may be incorrectly resolved with high support and stability indices. These patterns were observed both in simulations, and in the real data. The results indicate that sensitivity analysis may help to reveal phylogenetic uncertainty hidden behind artificially high support.     

Unusually high evolutionary rate of the elongation factor 1 alpha genes from the Ciliophora and its impact on the phylogeny of eukaryotes

The elongation factor 1 alpha (EF-1 alpha) has become widely employed as a phylogenetic marker for studying eukaryotic evolution. However, a disturbing problem, the artifactual polyphyly of ciliates, is always observed. It has been suggested that the addition of new sequences will help to circumvent this problem. Thus, we have determined 15 new ciliate EF-1 alpha sequences, providing for a more comprehensive taxonomic sampling of this phylum. These sequences have been analyzed together with a representation of eukaryotic sequences using distance-, parsimony-, and likelihood-based phylogenetic methods. Such analyses again failed to recover the monophyly of Ciliophora. A study of the substitution rate showed that ciliate EF-1 alpha genes exhibit a high evolutionary rate, produced in part by an increased number of variable positions. This acceleration could be related to alterations of the accessory functions acquired by this protein, likely to those involving interactions with the cytoskeleton, which is very modified in the Ciliophora. The high evolutionary rate of these sequences leads to an artificial basal emergence of some ciliates in the eukaryotic tree by effecting a long-branch attraction artifact that produces an asymmetric topology for the basal region of the tree. The use of a maximum-likelihood phylogenetic method (which is less sensitive to long-branch attraction) and the addition of sequences to break long branches allow retrieval of more symmetric topologies, which suggests that the asymmetric part of the tree is most likely artifactual. Therefore, the sole reliable part of the tree appears to correspond to the apical symmetric region. These kinds of observations suggest that the general eukaryotic evolution might have consisted of a massive radiation followed by an increase in the evolutionary rates of certain groups that emerge artificially as early branches in the asymmetric base of the tree. Ciliates in the case of the EF-1 alpha genes would offer clear evidence for this hypothesis.     

Evolutionary history of "early-diverging" eukaryotes: the excavate taxon Carpediemonas is a close relative of Giardia

Diplomonads, such as Giardia, and their close relatives retortamonads have been proposed as early-branching eukaryotes that diverged before the acquisition-retention of mitochondria, and they have become key organisms in attempts to understand the evolution of eukaryotic cells. In this phylogenetic study we focus on a series of eukaryotes suggested to be relatives of diplomonads on morphological grounds, the "excavate taxa". Phylogenies of small subunit ribosomal RNA (SSU rRNA) genes, alpha-tubulin, beta-tubulin, and combined alpha- + beta-tubulin all scatter the various excavate taxa across the diversity of eukaryotes. But all phylogenies place the excavate taxon Carpediemonas as the closest relative of diplomonads (and, where data are available, retortamonads). This novel relationship is recovered across phylogenetic methods and across various taxon-deletion experiments. Statistical support is strongest under maximum-likelihood (ML) (when among-site rate variation is modeled) and when the most divergent diplomonad sequences are excluded, suggesting a true relationship rather than an artifact of long-branch attraction. When all diplomonads are excluded, our ML SSU rRNA tree actually places retortamonads and Carpediemonas away from the base of the eukaryotes. The branches separating excavate taxa are mostly not well supported (especially in analyses of SSU rRNA data). Statistical tests of the SSU rRNA data, including an "expected likelihood weights" approach, do not reject trees where excavate taxa are constrained to be a clade (with or without parabasalids and Euglenozoa). Although diplomonads and retortamonads lack any mitochondria-like organelle, Carpediemonas contains double membrane-bounded structures physically resembling hydrogenosomes. The phylogenetic position of Carpediemonas suggests that it will be valuable in interpreting the evolutionary significance of many molecular and cellular peculiarities of diplomonads.     

Relative apparent synapomorphy analysis (RASA). I: The statistical measurement of phylogenetic signal

We have developed a new approach to the measurement of phylogenetic signal in character state matrices called relative apparent synapomorphy analysis (RASA). RASA provides a deterministic, statistical measure of natural cladistic hierarchy (phylogenetic signal) in character state matrices. The method works by determining whether a measure of the rate of increase of cladistic similarity among pairs of taxa as a function of phenetic similarity is greater than a null equiprobable rate of increase. Our investigation of the utility and limitations of RASA using simulated and bacteriophage T7 data sets indicates that the method has numerous advantages over existing measures of signal. A first advantage is computational efficiency. A second advantage is that RASA employs known methods of statistical inference, providing measurable sensitivity and power. The performance of RASA is examined under various conditions of branching evolution as the number of characters, character states per character, and mutations per branch length are varied. RASA appears to provide an unbiased and reliable measure of phylogenetic signal, and the general approach promises to be useful in the development of new techniques that should increase the rigor and reliability of phylogenetic estimates.      

Should we be worried about long-branch attraction in real data sets? Investigations using metazoan 18S rDNA

Although long-branch attraction (LBA) is frequently cited as the cause of anomalous phylogenetic groupings, few examples of LBA involving real sequence data are known. We have found several cases of probable LBA by analyzing subsamples from an alignment of 18S rDNA sequences for 133 metazoans. In one example, maximum parsimony analysis of sequences from two rotifers, a ctenophore, and a polychaete annelid resulted in strong support for a tree grouping two "long-branch taxa" (a rotifer and the ctenophore). Maximum-likelihood analysis of the same sequences yielded strong support for a more biologically reasonable "rotifer monophyly" tree. Attempts to break up long branches for problematic subsamples through increased taxon sampling reduced, but did not eliminate, LBA problems. Exhaustive analyses of all quartets for a subset of 50 sequences were performed in order to compare the performance of maximum likelihood, equal-weights parsimony, and two additional variants of parsimony; these methods do differ substantially in their rates of failure to recover trees consistent with well established, but highly unresolved phylogenies. Power analyses using simulations suggest that some incorrect inferences by maximum parsimony are due to statistical inconsistency and that when estimates of central branch lengths for certain quartets are very low, maximum-likelihood analyses have difficulty recovering accepted phylogenies even with large amounts of data. These examples demonstrate that LBA problems can occur in real data sets, and they provide an opportunity to investigate causes of incorrect inferences.     

Nuclear and Nucleomorph SSU rDNA Phylogeny in the Cryptophyta and the Evolution of Cryptophyte Diversity

The plastid-bearing members of the Cryptophyta contain two functional eukaryotic genomes of different phylogenetic origin, residing in the nucleus and in the nucleomorph, respectively. These widespread and diverse protists thus offer a unique opportunity to study the coevolution of two different eukaryotic genomes within one group of organisms. In this study, the SSU rRNA genes of both genomes were PCR-amplified with specific primers and phylogenetic analyses were performed on different data sets using different evolutionary models. The results show that the composition of the principal clades obtained from the phylogenetic analyses of both genes was largely congruent, but striking differences in evolutionary rates were observed. These affected the topologies of the nuclear and nucleomorph phylogenies differently, resulting in long-branch attraction artifacts when simple evolutionary models were applied. Deletion of long-branch taxa stabilized the internal branching order in both phylogenies and resulted in a completely resolved topology in the nucleomorph phylogeny. A comparison of the tree topologies derived from SSU rDNA sequences with characters previously used in cryptophyte systematics revealed that the biliprotein type was congruent, but the type of inner periplast component incongruent, with the molecular trees. The latter is indicative of a hidden cellular dimorphism (cells with two periplast types present in a single clonal strain) of presumably widespread occurrence throughout cryptophyte diversity, which, in consequence, has far-reaching implications for cryptophyte systematics as it is practiced today.     

18S gene trees are positively misleading for monocot/dicot phylogenetics

Monocots are consistently paraphyletic in 18S gene trees in all studies to date. This anomaly is generally expressed in the phylogenetic associations of two lineages, that of Acoraceae, which is excluded from the monocots, and Ceratophyllaceae, which sometimes clusters within the monocots. Six explanations for these unexpected results are proposed: (1) erroneous published sequences, (2) actual paraphyly of monocots with dicots, (3) insufficient taxon density among relevant taxa; (4) long-branch attraction between selected taxa, (5) an anomalous 18S paralogue in the basal species of monocots, and (6) differential lineage sorting or other molecular evolutionary events. Tests of each of these hypotheses were conducted. For the first five hypotheses, test results refuted the hypothesis. Support for the sixth hypothesis, differential lineage sorting, is the strongest. Since lineage sorting seems to be restricted to a few species, identification and removal of these species prior to performing separate or combined phylogenetic analysis of DNA data incorporating sequences from 18S may be advisable.     

The phylogenetic trunk: maximal inclusion of taxa with missing data in an analysis of the lepospondyli (Vertebrata,Tetrapoda)

The importance of fossils to phylogenetic reconstruction is well established. However, analyses of fossil data sets are confounded by problems related to the less complete nature of the specimens. Taxa that are incompletely known are problematic because of the uncertainty of their placement within a tree, leading to a proliferation of most-parsimonious solutions and "wild card" behavior. Problematic taxa are commonly deleted based on a priori criteria of completeness. Paradoxically, a taxon's problematic behavior is tree dependent, and levels of completeness are not directly associated with problematic behavior. Exclusion of taxa on the basis of completeness eliminates real character conflict and, by not allowing incomplete taxa to determine tree topology, diminishes the phylogenetic hypothesis. Here, the phylogenetic trunk approach is proposed to allow optimization of taxonomic inclusion and tree stability. The use of this method in an analysis of the Paleozoic Lepospondyli finds a single most-parsimonious tree, or trunk, after the removal of one taxon identified as being problematic. Moreover, the 38 trees found at one additional step from this primary trunk were reduced to 2 by removal of one additional taxon. These trunks are compared with the trees that were found by excluding taxa with various degrees of completeness, and the effects of incomplete taxa are explored with regard to use of the trunk. Correlated characters associated with limblessness are discussed regarding the assumption of character independence; however, inclusion of intermediate taxa is found to be the single best method for breaking down long branches.     

Finding Optimal Ingroup Topologies and Convexities When the Choice of Outgroups Is Not Obvious

Considerable confusion remains among theoreticians and practicioners of phylogenetic science on the use of outgroup taxa. Here, we show that, despite claims to the contrary, details of the optimal ingroup topology can be changed by switching outgroup taxa. This has serious implications for phylogenetic accuracy. We delineate between the process of outgroup selection and the various possible processes involved in using an outgroup taxon after one has been selected. Criteria are needed for the determination that particular outgroup taxa do not reduce the accuracy of evolutionary tree topologies and inferred character state transformations. We compare previous results from a sensitivity bootstrap analysis of the mitochondrial cytochromebphylogenetic relationships among whales to the results of a Bremer support sensitivity analysis and of a recently developed application of RASA theory to the question of putative outgroup taxon plesiomorphy content.