Deconstructing age estimates for angiosperms.

Estimates of the age of angiosperms from molecular phylogenies vary considerably. As in all estimates of evolutionary timescales from phylogenies, generating these estimates requires assumptions about the rate that molecular sequences are evolving (using clock models) and the time duration of the branches in a phylogeny (using fossil calibrations and branching processes). Often, it is difficult to demonstrate that these assumptions reflect current knowledge of molecular evolution or the fossil record. In this study we re-estimate the age of angiosperms using a minimal set of assumptions, therefore avoiding many of the assumptions inherent to other methods. The age estimates we generate are similar for each of the four datasets analysed, ranging from 130 to 400 Ma, but are far less precise than in previous studies. We demonstrate that this reduction in precision results from making less stringent assumptions about both rate and time, and that the analysed molecular dataset has very little effect on age estimates.

Heuristics, species, and the analysis of systematic data.

Disagreements over how to define species potentially render them incomparable, yet biologists routinely count and compare species. This 'species problem' persists despite the wealth of data and methods available to contemporary systematists. A heuristic approach to species provides a consistent yet flexible means of selecting, assessing, and integrating different biological data.

exTREEmaTIME: a method for incorporating uncertainty into divergence time estimates.

We present a method of divergence time estimation (exTREEmaTIME) that aims to effectively account for uncertainty in divergence time estimates. The method requires a minimal set of assumptions, and, based on these assumptions, estimates the oldest possible divergence times and youngest possible divergence times that are consistent with the assumptions. We use a series of simulations and empirical analyses to illustrate that exTREEmaTIME is effective at representing uncertainty. We then describe how exTREEmaTIME can act as a basis to determine the implications of the more stringent assumptions that are incorporated into other methods of divergence time estimation that produce more precise estimates. This is critically important given that many of the assumptions that are incorporated into these methods are highly complex, difficult to justify biologically, and as such can lead to estimates that are highly inaccurate. This article has an associated First Person interview with the first author of the paper.

Discovery and characterization of sweetpotato's closest tetraploid relative.

The origin of sweetpotato, a hexaploid species, is poorly understood, partly because the identity of its tetraploid progenitor remains unknown. In this study, we identify, describe and characterize a new species of Ipomoea that is sweetpotato's closest tetraploid relative known to date and probably a direct descendant of its tetraploid progenitor. We integrate morphological, phylogenetic, and genomic analyses of herbarium and germplasm accessions of the hexaploid sweetpotato, its closest known diploid relative Ipomoea trifida, and various tetraploid plants closely related to them from across the American continent. We identify wild autotetraploid plants from Ecuador that are morphologically distinct from Ipomoea batatas and I. trifida, but monophyletic and sister to I. batatas in phylogenetic analysis of nuclear data. We describe this new species as Ipomoea aequatoriensis T. Wells & P. Muñoz sp. nov., distinguish it from hybrid tetraploid material collected in Mexico; and show that it likely played a direct role in the origin of sweetpotato's hexaploid genome. This discovery transforms our understanding of sweetpotato's origin.

Species as a Heuristic: Reconciling Theory and Practice.

Species are crucial to most branches of biological research, yet remain controversial in terms of definition, delimitation, and reality. The difficulty of resolving the "species problem" stems from the tension between their theoretical concept as groups of evolving and highly variable organisms and the practical need for a stable and comparable unit of biology. Here, we suggest that treating species as a heuristic can be consistent with a theoretical definition of what species are and with the practical means by which they are identified and delimited. Specifically, we suggest that theoretically species are heuristic since they comprise clusters of closely related individuals responding in a similar manner to comparable sets of evolutionary and ecological forces, whilst they are practically heuristic because they are identifiable by the congruence of contingent properties indicative of those forces. This reconciliation of the theoretical basis of species with their practical applications in biological research allows for a loose but relatively consistent definition of species based on the strategic analysis and integration of genotypic, phenotypic, and ecotypic data. [Cohesion; heuristic; homeostasis; lineage; species problem.].

The Implications of Interrelated Assumptions on Estimates of Divergence Times and Rates of Diversification.

Phylogenies are increasingly being used as a basis to provide insight into macroevolutionary history. Here, we use simulation experiments and empirical analyses to evaluate methods that use phylogenies as a basis to make estimates of divergence times and rates of diversification. This is the first study to present a comprehensive assessment of the key variables that underpin analyses in this field-including substitution rates, speciation rates, and extinction, plus character sampling and taxon sampling. We show that in unrealistically simplistic cases (where substitution rates and speciation rates are constant, and where there is no extinction), increased character and taxon sampling lead to more accurate and precise parameter estimates. By contrast, in more complex but realistic cases (where substitution rates, speciation rates, and extinction rates vary), gains in accuracy and precision from increased character and taxon sampling are far more limited. The lack of accuracy and precision even occurs when using methods that are designed to account for more complex cases, such as relaxed clocks, fossil calibrations, and models that allow speciation rates and extinction rates to vary. The problem also persists when analyzing genomic scale data sets. These results suggest two interrelated problems that occur when the processes that generated the data are more complex. First, methodological assumptions are more likely to be violated. Second, limitations in the information content of the data become more important.[Divergence time estimation; diversification rates; macroevolution; phylogeny.].

Uncertainty in Divergence Time Estimation.

Understanding and representing uncertainty is crucial in academic research because it enables studies to build on the conclusions of previous studies, leading to robust advances in a particular field. Here, we evaluate the nature of uncertainty and the manner by which it is represented in divergence time estimation, a field that is fundamental to many aspects of macroevolutionary research, and where there is evidence that uncertainty has been seriously underestimated. We address this issue in the context of methods used in divergence time estimation, and with respect to the manner by which time-calibrated phylogenies are interpreted. With respect to methods, we discuss how the assumptions underlying different methods may not adequately reflect uncertainty about molecular evolution, the fossil record, or diversification rates. Therefore, divergence time estimates may not adequately reflect uncertainty and may be directly contradicted by subsequent findings. For the interpretation of time-calibrated phylogenies, we discuss how the use of time-calibrated phylogenies for reconstructing general evolutionary timescales leads to inferences about macroevolution that are highly sensitive to methodological limitations in how uncertainty is accounted for. By contrast, we discuss how the use of time-calibrated phylogenies to test specific hypotheses leads to inferences about macroevolution that are less sensitive to methodological limitations. Given that many biologists wish to use time-calibrated phylogenies to reconstruct general evolutionary timescales, we conclude that the development of methods of divergence time estimation that adequately account for uncertainty is necessary. [Divergence time estimation; macroevolution; uncertainty.].

Evolutionary Biology: A New Phylogenetic Framework for an Iconic Plant Radiation.

Studies in island systems underpin much of our knowledge of macroevolution. A new study of the Galápagos giant daisies adds to this tradition. A time-calibrated phylogeny is presented that offers insights into the factors associated with diversification, providing a framework for further studies to investigate processes underlying these findings.

A foundation monograph of Ipomoea (Convolvulaceae) in the New World.

A monograph of the 425 New World species of Ipomoea is presented. All 425 species are described and information is provided on their ecology and distribution, with citations from all countries from which they are reported. Notes are provided on salient characteristics and taxonomic issues related to individual species. A full synonymy is provided and 272 names are lectotypified. An extensive introduction discusses the delimitation and history of Ipomoea arguing that a broad generic concept is the only rational solution in the light of recent phylogenetic advances. Although no formal infrageneric classification is proposed, attention is drawn to the major clades of the genus and several morphologically well-defined clades are discussed including those traditionally treated under the names Arborescens, Batatas, Pharbitis, Calonyction and Quamoclit, sometimes as distinct genera, subgenera, sections or series. Identification keys are provided on a regional basis including multi-entry keys for the main continental blocks. Six species are described as new, Ipomoea nivea J.R.I. Wood & Scotland from Peru, I. apodiensis J.R.I. Wood & Scotland from Brazil, I. calcicola J.R.I. Wood & Scotland, I. pochutlensis J.R.I. Wood & Scotland, I. zacatecana J.R.I. Wood & Scotland and I. ramulosa J.R.I. Wood & Scotland from Mexico, while var. australis of I. cordatotriloba is raised to specific status as I. australis (O'Donell) J.R.I. Wood & P. Muñoz. New subspecies for I. nitida (subsp. krapovickasii J.R.I. Wood & Scotland) and for I. chenopodiifolia (subsp. bellator J.R.I. Wood & Scotland) are described. The status of previously recognized species and varieties is changed so the following new subspecies are recognized: I. amnicola subsp. chiliantha (Hallier f.) J.R.I. Wood & Scotland, I. chenopodiifolia subsp. signata (House) J.R.I. Wood & Scotland, I. orizabensis subsp. collina (House) J.R.I. Wood & Scotland, I. orizabensis subsp. austromexicana (J.A. McDonald) J.R.I. Wood & Scotland, I. orizabensis subsp. novogaliciana (J.A. McDonald) J.R.I. Wood & Scotland, I. setosa subsp. pavonii (Hallier f.) J.R.I. Wood & Scotland, I. setosa subsp. melanotricha (Brandegee) J.R.I. Wood & Scotland, I. setosa subsp. sepacuitensis (Donn. Sm.) J.R.I. Wood & Scotland, I. ternifolia subsp. leptotoma (Torr.) J.R.I. Wood & Scotland. Ipomoea angustata and I. subincana are treated as var. angustata (Brandegee) J.R.I. Wood & Scotland and var. subincana (Choisy) J.R.I. Wood & Scotland of I. barbatisepala and I. brasiliana respectively. Attention is drawn to a number of hitherto poorly recognized phenomena in the genus including a very large radiation centred on the Parana region of South America and another on the Caribbean Islands, a strong trend towards an amphitropical distribution in the New World, the existence of a relatively large number of species with a pantropical distribution and of many species in different clades with storage roots, most of which have never been evaluated for economic purposes. The treatment is illustrated with over 200 figures composed of line drawings and photographs.

The temporal dynamics of evolutionary diversification in Ipomoea.

Molecular phylogenies are used as a basis for making inferences about macroevolutionary history. However, a robust phylogeny does not contain the information that is necessary to make many of these inferences. Complex methodologies that incorporate important assumptions about the nature of evolutionary history are therefore required. Here, we explore the implications of these assumptions for making inferences about the macroevolutionary history of Ipomoea - a large pantropical genus of flowering plants that contains the sweet potato (Ipomoea batatas), a crop of global economic importance. We focus on assumptions that underlie inferences of divergence times, and diversification parameters (speciation rates, extinction rates, and net diversification rates). These are among the most fundamental variables in macroevolutionary research. We use a series of novel approaches to explore the implications of these assumptions for inferring the age of Ipomoea, the ages of major clades within Ipomoea, whether there are significant differences in diversification parameters among clades within Ipomoea, and whether the storage root of I. batatas evolved in pre-human times. We show that inferring an age estimate for Ipomoea and major clades within Ipomoea is highly problematic. Inferred divergence times are sensitive to uncertain fossil calibrations and differing assumptions about among-branch-substitution-rate-variation. Despite this uncertainty, we are able to make robust inferences about patterns of variation in diversification parameters within Ipomoea, and that the storage root of I. batatas evolved in pre-human times. Taken together, this study presents novel and generalizable insights into the implications of methodological assumptions for making inferences about macroevolutionary history. Further, by presenting novel findings relating to the temporal dynamics of evolution in Ipomoea, as well as more specifically to I. batatas, this study makes a valuable contribution to our understanding of tropical plant evolution, and the evolutionary context in which economically important crops evolve.

Insights from Empirical Analyses and Simulations on Using Multiple Fossil Calibrations with Relaxed Clocks to Estimate Divergence Times.

Relaxed clock methods account for among-branch-rate-variation when estimating divergence times by inferring different rates for individual branches. In order to infer different rates for individual branches, important assumptions are required. This is because molecular sequence data do not provide direct information about rates but instead provide direct information about the total number of substitutions along any branch, which is a product of the rate and time for that branch. Often, the assumptions required for estimating rates for individual branches depend heavily on the implementation of multiple fossil calibrations in a single phylogeny. Here, we show that the basis of these assumptions is often critically undermined. First, we highlight that the temporal distribution of the fossil record often violates key assumptions of methods that use multiple fossil calibrations with relaxed clocks. With respect to "node calibration" methods, this conclusion is based on our inference that different fossil calibrations are unlikely to reflect the relative ages of different clades. With respect to the fossilized birth-death process, this conclusion is based on our inference that the fossil recovery rate is often highly heterogeneous. We then demonstrate that methods of divergence time estimation that use multiple fossil calibrations are highly sensitive to assumptions about the fossil record and among-branch-rate-variation. Given the problems associated with these assumptions, our results highlight that using multiple fossil calibrations with relaxed clocks often does little to improve the accuracy of divergence time estimates.

The Implications of Lineage-Specific Rates for Divergence Time Estimation.

Rate variation adds considerable complexity to divergence time estimation in molecular phylogenies. Here, we evaluate the impact of lineage-specific rates-which we define as among-branch-rate-variation that acts consistently across the entire genome. We compare its impact to residual rates-defined as among-branch-rate-variation that shows a different pattern of rate variation at each sampled locus, and gene-specific rates-defined as variation in the average rate across all branches at each sampled locus. We show that lineage-specific rates lead to erroneous divergence time estimates, regardless of how many loci are sampled. Further, we show that stronger lineage-specific rates lead to increasing error. This contrasts to residual rates and gene-specific rates, where sampling more loci significantly reduces error. If divergence times are inferred in a Bayesian framework, we highlight that error caused by lineage-specific rates significantly reduces the probability that the 95% highest posterior density includes the correct value, and leads to sensitivity to the prior. Use of a more complex rate prior-which has recently been proposed to model rate variation more accurately-does not affect these conclusions. Finally, we show that the scale of lineage-specific rates used in our simulation experiments is comparable to that of an empirical data set for the angiosperm genus Ipomoea. Taken together, our findings demonstrate that lineage-specific rates cause error in divergence time estimates, and that this error is not overcome by analyzing genomic scale multilocus data sets. [Divergence time estimation; error; rate variation.].

A taxonomic monograph of Ipomoea integrated across phylogenetic scales.

Taxonomic monographs have the potential to make a unique contribution to the understanding of global biodiversity. However, such studies, now rare, are often considered too daunting to undertake within a realistic time frame, especially as the world's collections have doubled in size in recent times. Here, we report a global-scale monographic study of morning glories (Ipomoea) that integrated DNA barcodes and high-throughput sequencing with the morphological study of herbarium specimens. Our approach overhauled the taxonomy of this megadiverse group, described 63 new species and uncovered significant increases in net diversification rates comparable to the most iconic evolutionary radiations in the plant kingdom. Finally, we show that more than 60 species of Ipomoea, including sweet potato, independently evolved storage roots in pre-human times, indicating that the storage root is not solely a product of human domestication but a trait that predisposed the species for cultivation. This study demonstrates how the world's natural history collections can contribute to global challenges in the Anthropocene.

Reconciling Conflicting Phylogenies in the Origin of Sweet Potato and Dispersal to Polynesia.

The sweet potato is one of the world's most widely consumed crops, yet its evolutionary history is poorly understood. In this paper, we present a comprehensive phylogenetic study of all species closely related to the sweet potato and address several questions pertaining to the sweet potato that remained unanswered. Our research combined genome skimming and target DNA capture to sequence whole chloroplasts and 605 single-copy nuclear regions from 199 specimens representing the sweet potato and all of its crop wild relatives (CWRs). We present strongly supported nuclear and chloroplast phylogenies demonstrating that the sweet potato had an autopolyploid origin and that Ipomoea trifida is its closest relative, confirming that no other extant species were involved in its origin. Phylogenetic analysis of nuclear and chloroplast genomes shows conflicting topologies regarding the monophyly of the sweet potato. The process of chloroplast capture explains these conflicting patterns, showing that I. trifida had a dual role in the origin of the sweet potato, first as its progenitor and second as the species with which the sweet potato introgressed so one of its lineages could capture an I. trifida chloroplast. In addition, we provide evidence that the sweet potato was present in Polynesia in pre-human times. This, together with several other examples of long-distance dispersal in Ipomoea, negates the need to invoke ancient human-mediated transport as an explanation for its presence in Polynesia. These results have important implications for understanding the origin and evolution of a major global food crop and question the existence of pre-Columbian contacts between Polynesia and the American continent.

New species of Ipomoea (Convolvulaceae) from South America.

The importance of discovering, describing and cataloguing poorly known species in herbarium collections is discussed. It is a spur to efforts at rediscovery and consequent conservation efforts. The problems faced in describing species from limited material are discussed and our methods and criteria in making a decision are described. Prospects for future novelties are briefly assessed. Fifteen new species are described and illustrated with line drawings and distribution maps: Ipomoea attenuata J.R.I. Wood & Scotland, I. cuscoensis J.R.I. Wood & P. Muñoz, I. dasycarpa J.R.I. Wood & Scotland, I. dolichopoda J.R.I. Wood & R. Degen, I. ensiformis J.R.I.Wood & Scotland, I. fasciculata J.R.I. Wood & Scotland, I. graminifolia J.R.I. Wood & Scotland, I. kraholandica J.R.I. Wood & Scotland, I. longirostra J.R.I. Wood & Scotland, I. revoluta J.R.I. Wood & Scotland, I. scopulina J.R.I. Wood &. Scotland, I. uninervis J.R.I. Wood & Scotland, I. veadeirosii J.R.I. Wood & Scotland, I. velutinifolia J.R.I. Wood & Scotland, I. walteri J.R.I. Wood & Scotland. All species are narrow endemics except I. velutinifolia which is found in Brazil and Peru; of the others, 12 are found in Brazil and one each in Paraguay and Peru.

How the temperate world was colonised by bindweeds: biogeography of the Convolvuleae (Convolvulaceae).

BACKGROUND: At a global scale, the temperate zone is highly fragmented both between and within hemispheres. This paper aims to investigate how the world's disjunct temperate zones have been colonised by the pan-temperate plant group Convolvuleae, sampling 148 of the c. 225 known species. We specifically determine the number and timing of amphitropical and transoceanic disjunctions, investigate the extent to which disjunctions in Convolvuleae are spatio-temporally congruent with those in other temperate plant groups and determine the impact of long-distance dispersal events on diversification rates. RESULTS: Eight major disjunctions are observed in Convolvuleae: two Northern Hemisphere, two Southern Hemisphere and four amphitropical. Diversity in the Southern Hemisphere is largely the result of a single colonisation of Africa 3.1-6.4 Ma, and subsequent dispersals from Africa to both Australasia and South America. Speciation rates within this monophyletic, largely Southern Hemisphere group (1.38 species Myr(-1)) are found to be over twice those of the tribe as a whole (0.64 species Myr(-1)). Increased speciation rates are also observed in Calystegia (1.65 species Myr(-1)). CONCLUSIONS: The Convolvuleae has colonised every continent of the world with a temperate biome in c. 18 Myr and eight major range disjunctions underlie this broad distribution. In keeping with other temperate lineages exhibiting disjunct distributions, long-distance dispersal is inferred as the main process explaining the patterns observed although for one American-Eurasian disjunction we cannot exclude vicariance. The colonisation of the temperate zones of the three southern continents within the last c. 4 Myr is likely to have stimulated high rates of diversification recovered in this group, with lineage accumulation rates comparable to those reported for adaptive radiations.

Widespread mistaken identity in tropical plant collections.

Specimens of plants and animals preserved in museums are the primary source of verifiable data on the geographical and temporal distribution of organisms. Museum datasets are increasingly being uploaded to aggregated regional and global databases (e.g. the Global Biodiversity Information Facility; GBIF) for use in a wide range of analyses. Thus, digitisation of natural history collections is providing unprecedented information to facilitate the study of the natural world on a global scale. The digitisation of this information utilises information provided on specimen labels, and assumes they are correctly identified. Here we evaluate the accuracy of names associated with 4,500 specimens of African gingers from 40 herbaria in 21 countries. Our data show that at least 58% of the specimens had the wrong name prior to a recent taxonomic study. A similar pattern of wrongly named specimens is also shown for Dipterocarps and Ipomoea (morning glory). We also examine the number of available plant specimens worldwide. Our data demonstrate that, while the world's collections have more than doubled since 1970, more than 50% of tropical specimens, on average, are likely to be incorrectly named. This finding has serious implications for the uncritical use of specimen data from natural history collections.

A foundation monograph of Convolvulus L. (Convolvulaceae).

A global revision of Convolvulus L. is presented, Calystegia R.Br. being excluded on pragmatic grounds. One hundred and ninety species are recognised with the greatest diversity in the Irano-Turanian region. All recognised species are described and the majority are illustrated. Distribution details, keys to species identification and taxonomic notes are provided. Four new species, Convolvulusaustroafricanus J.R.I.Wood & R.W.Scotland, sp. nov., Convolvulusiranicus J.R.I.Wood & R.W.Scotland, sp. nov., Convolvuluspeninsularis J.R.I.Wood & R.W.Scotland, sp. nov. and Convolvulusxanthopotamicus J.R.I.Wood & R.W.Scotland, sp. nov., one new subspecies Convolvuluschinensissubsp.triangularis J.R.I.Wood & R.W.Scotland, subsp. nov., and two new varieties Convolvulusequitansvar.lindheimeri J.R.I.Wood & R.W.Scotland, var. nov., Convolvulusglomeratusvar.sachalitarum J.R.I.Wood & R.W.Scotland, var. nov. are described. Convolvulusincisodentatus J.R.I.Wood & R.W.Scotland, nom. nov., is provided as a replacement name for the illegitimate Convolvulusincisus Choisy. Several species treated as synonyms of other species in recent publications are reinstated including Convolvuluschinensis Ker-Gawl., Convolvulusspinifer M.Popov., Convolvulusrandii Rendle and Convolvulusaschersonii Engl. Ten taxa are given new status and recognised at new ranks: Convolvulusnamaquensis (Schltr. ex. A.Meeuse) J.R.I.Wood & R.W.Scotland, stat. nov., Convolvulushermanniaesubsp.erosus (Desr.) J.R.I.Wood & R.W.Scotland, stat. nov., Convolvuluscrenatifoliussubsp.montevidensis (Spreng.) J.R.I.Wood & R.W.Scotland, stat. nov., Convolvulusfruticulosussubsp.glandulosus (Webb) J.R.I.Wood & R.W.Scotland, stat. nov., Convolvuluscapituliferussubsp.foliaceus (Verdc.) J.R.I.Wood & R.W.Scotland, stat. nov., Convolvulushystrixsubsp.ruspolii (Dammer ex Hallier f.) J.R.I.Wood & R.W.Scotland, stat. nov., Convolvulushystrixsubsp.inermis (Chiov.) J.R.I.Wood & R.W.Scotland, stat. nov., Convolvulusrottlerianussubsp.stocksii (Boiss.) J.R.I.Wood & R.W.Scotland, comb. et stat. nov., Convolvuluscalvertiisubsp.ruprechtii (Boiss.) J.R.I.Wood & R.W.Scotland, stat. nov., Convolvuluscephalopodussubsp.bushiricus (Bornm.) J.R.I.Wood & R.W.Scotland, stat. nov. The status of various infraspecific taxa is clarified and numerous taxa are lectotypified. This account represents a new initiative in terms of taxonomic monography, being an attempt to bring together the global approach of the traditional monograph with the more pragmatic and identification-focussed approach of most current floras while at the same time being informed by insights from molecular systematics.

Distributions, ex situ conservation priorities, and genetic resource potential of crop wild relatives of sweetpotato [Ipomoea batatas (L.) Lam., I. series Batatas].

Crop wild relatives of sweetpotato [Ipomoea batatas (L.) Lam., I. series Batatas] have the potential to contribute to breeding objectives for this important root crop. Uncertainty in regard to species boundaries and their phylogenetic relationships, the limited availability of germplasm with which to perform crosses, and the difficulty of introgression of genes from wild species has constrained their utilization. Here, we compile geographic occurrence data on relevant sweetpotato wild relatives and produce potential distribution models for the species. We then assess the comprehensiveness of ex situ germplasm collections, contextualize these results with research and breeding priorities, and use ecogeographic information to identify species with the potential to contribute desirable agronomic traits. The fourteen species that are considered the closest wild relatives of sweetpotato generally occur from the central United States to Argentina, with richness concentrated in Mesoamerica and in the extreme Southeastern United States. Currently designated species differ among themselves and in comparison to the crop in their adaptations to temperature, precipitation, and edaphic characteristics and most species also show considerable intraspecific variation. With 79% of species identified as high priority for further collecting, we find that these crop genetic resources are highly under-represented in ex situ conservation systems and thus their availability to breeders and researchers is inadequate. We prioritize taxa and specific geographic locations for further collecting in order to improve the completeness of germplasm collections. In concert with enhanced conservation of sweetpotato wild relatives, further taxonomic research, characterization and evaluation of germplasm, and improving the techniques to overcome barriers to introgression with wild species are needed in order to mobilize these genetic resources for crop breeding.

Circumstances in which parsimony but not compatibility will be provably misleading.

Phylogenetic methods typically rely on an appropriate model of how data evolved in order to infer an accurate phylogenetic tree. For molecular data, standard statistical methods have provided an effective strategy for extracting phylogenetic information from aligned sequence data when each site (character) is subject to a common process. However, for other types of data (e.g., morphological data), characters can be too ambiguous, homoplastic, or saturated to develop models that are effective at capturing the underlying process of change. To address this, we examine the properties of a classic but neglected method for inferring splits in an underlying tree, namely, maximum compatibility. By adopting a simple and extreme model in which each character either fits perfectly on some tree, or is entirely random (but it is not known which class any character belongs to) we are able to derive exact and explicit formulae regarding the performance of maximum compatibility. We show that this method is able to identify a set of non-trivial homoplasy-free characters, when the number [Formula: see text] of taxa is large, even when the number of random characters is large. In contrast, we show that a method that makes more uniform use of all the data-maximum parsimony-can provably estimate trees in which none of the original homoplasy-free characters support splits.