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The Neotropical praying mantis tribe Vatini Stal is revised using total evidence phylogenetic analysis based on molecular and coded morphological data. The subfamily Vatinae is redefined to only include Neotropical taxa with the removal of distantly related African and Asian lineages. A new tribe is erected under Vatinae (Heterovatini trib.n.) for two unique genera with historically unstable taxonomic placement (Heterovates Saussure and Chopardiella Giglio-Tos). Phylogenetic results and morphology support the synonymy of three genera (Lobovates Deeleman-Reinhold, Phyllovates Kirby, and Hagiotata Saussure & Zehntner) and the validity of Chopardiella Giglio-Tos, Heterovates Saussure, Callivates Roy, Pseudovates Saussure, Vates Burmeister, and Zoolea Audinet Serville. A new genus (Alangularis gen.n.) is created for a former species of Vates with unique morphology and separate phylogenetic placement. All genera are redescribed based on external morphology and the male genital complex. A key to genera for Vatinae is provided with dorsal habitus images of representatives for each genus. A distinct pattern of correlated evolution of morphological characters linked to crypsis was uncovered. Cuticular leg lobes within single leg segments are evolving as sets, and serially homologous lobes appear simultaneously or in close succession. The posteroventral lobes in the apical position on thoracic femora appear to be the precursors to multiple positive rate shifts in the evolutionary accumulation of cryptic features. One shift occurred early in the evolution of Vatinae while the second occurred much later, after the loss and re-evolution of the posteroventral lobes in the apical position on thoracic femora, a violation of Dollo's law. This published work has been registered in ZooBank, http://zoobank.org/urn:lsid:zoobank.org:pub:724C16AF-069A-46A1-B66C-007D8DE18C68.

We present a suprageneric revision of the plant-mimicking mantis families Empusidae and Hymenopodidae on the basis of a total-evidence phylogenetic analysis with complete generic representation. We coded 124 characters from external morphology and used these together with a DNA dataset comprising ten gene fragments for an aligned matrix with 7514 nucleic acid sites to estimate phylogenetic relationships. We recovered largely congruent topologies across molecular, morphological and total evidence analyses. Empusidae and its assigned subfamilies were recovered as monophyletic. Hymenopodidae was recovered as paraphyletic with respect to Sibyllidae and Phyllothelyinae (Mantidae) whereas a small assemblage of hymenopodid taxa (Galinthias Stal, Congoharpax La Greca, Pseudoharpax Saussure and Harpagomantis Kirby) were recovered outside the family. The Caribbean genus Epaphrodita Audinet-Serville was also recovered far from the rest of the hymenopodid subfamily Epaphroditinae, in which it is traditionally classified. The nonmonophyly of Acromantinae was recovered with some species nested within Oxypilinae and others found within Hymenopodinae. We present a new classification scheme that includes an elevated family and subfamily (Galinthiadidae and Phyllocraniinae), two reinstated tribes (Anaxarchini and Otomantini), a family demoted to subfamily rank (Sibyllinae), a newly assigned subfamily to Hymenopodidae transferred from Mantidae (Phyllothelyinae), and new generic assignments to existing higher-level groups. We used our morphological characters to produce extensive re-descriptions of all suprageneric groups as well as character diagnoses. We provide a dichotomous key to genera supported by example illustrations of important morphological features as well as dorsal habitus images of representative specimens.

Machaerotidae (Hemiptera: Auchenorrhyncha: Cercopoidea) is a taxonomically small but morphologically diverse family of spittlebugs with approximately 115 described species in 31 genera and an exclusively Palaeotropical distribution. Results are presented of the first molecular phylogenetic investigation of Machaerotidae, examining relationships among the currently recognized subfamilies and tribes, as well as determining the phylogenetic placement of the genera Enderleinia Schmidt, Neuromachaerota Schmidt, Labramachaerota Bell & Cryan, and Kyphomachaerota Bell & Cryan. DNA nucleotide sequence data from eight loci (12s rDNA, 16s rDNA, 18S rDNA, 28S rDNA, histone 2A, histone 3, wingless and NADH Dehydrogenase subunit 4) were analysed to reconstruct the phylogeny. The evidence generated in this study supports the following systematic conclusions: (i) Machaerotidae is a monophyletic family; (ii) Machaerotini, Hindoloidini (with the new inclusion of Kyphomachaerota), and Enderleiniini (excluding Kyphomachaerota and Apomachaerota Schmidt) are monophyletic tribes; (iii) the genus Apomachaerota was recovered as the most anciently diverged lineage of extant Machaerotidae, and a new subfamily (Apomachaerotinae subfam.n.), is proposed on the basis of its phylogenetic placement as sister lineage to all other extant Machaerotidae.

A phylogenetic analysis of the order Embioptera is presented with a revised classification based on results of the analysis. Eighty-two species of Embioptera are included from all families except Paedembiidae Ross and Embonychidae Navas. Monophyly of each of the eight remaining currently recognized families is tested except Andesembiidae Ross, for which only a single species was included. Nine outgroup taxa are included from Blattaria, Grylloblattaria, Mantodea, Mantophasmatodea, Orthoptera, Phasmida and Plecoptera. Ninety-six morphological characters were analysed along with DNA sequence data from the five genes 16S rRNA, 18S rRNA, 28S rRNA, cytochrome c oxidase I and histone III. Data were analysed in combined analyses of all data using parsimony and Bayesian optimality criteria, and combined molecular data were analysed using maximum likelihood. Several major conclusions about Embioptera relationships and classification are based on interpretation of these analyses. Of eight families for which monophyly was tested, four were found to be monophyletic under each optimality criterion: Clothodidae Davis, Anisembiidae Davis, Oligotomidae Enderlein and Teratembiidae Krauss. Australembiidae Ross was not recovered as monophyletic in the likelihood analysis in which one Australembia Ross species was recovered in a position distant from other australembiids. This analysis included only molecular data and the topology was not strongly supported. Given this, and because parsimony and the Bayesian analyses recovered a strongly supported clade including all Australembiidae, we regard this family also as monophyletic. Three other families – Notoligotomidae Davis, Archembiidae Ross and Embiidae Burmeister, as historically delimited – were not found to be monophyletic under any optimality criterion. Notoligotomidae is restricted here to include only the genus Notoligotoma Davis with a new family, Ptilocerembiidae Miller and Edgerly, new family, erected to include the genus Ptilocerembia Friederichs. Archembiidae is restricted here to include only the genera Archembia Ross and Calamoclostes Enderlein. The family group name Scelembiidae Ross is resurrected from synonymy with Archembiidae (new status) to include all other genera recently placed in Archembiidae. Embiidae is not demonstrably monophyletic with species currently placed in the family resolved in three separate clades under each optimality criterion. Because taxon sampling is not extensive within this family in this analysis, no changes are made to Embiidae classification. Relationships between families delimited herein are not strongly supported under any optimality criterion with a few exceptions. Either Clothodidae Davis (parsimony) or Australembiidae Ross (Bayesian) is the sister to the remaining Embioptera taxa. The Bayesian analysis includes Australembiidae as the sister to all other Embioptera except Clothididae, suggesting that each of these taxa is a relatively plesiomorphic representatative of the order. Oligotomidae and Teratembiidae are sister groups, and Archembiidae (sensu novum), Ptilocerembiidae, Andesembiidae and Anisembiidae form a monophyletic group under each optimality criterion. Each family is discussed in reference to this analysis, diagnostic combinations and taxon compositions are provided, and a key to families of Embioptera is included.

The spittlebug superfamily Cercopoidea (Hemiptera: Cicadomorpha) comprises approximately 3000 phytophagous species (including some economically important pests of grass crops) classified among the families Cercopidae, Aphrophoridae, Epipygidae, Clastopteridae and Machaerotidae. However, the monophyly of these taxa has never been tested and the evolutionary relationships among these major lineages are unknown. Presented here are the results of the first ever phylogenetic investigation of the higher-level relationships within Cercopoidea, based on DNA nucleotide sequence data from six loci (18S rDNA, 28S rDNA, histone 3, wingless, cytochrome oxidase I and cytochrome oxidase II) generated from exemplars of 109 spittlebug species representing all five described families, seven of eight subfamilies and 61 genera (eight additional exemplars, representing a selection of other Auchenorrhyncha taxa, were included as outgroups). The resulting topologies are used to evaluate the monophyly of each cercopoid family, and further to calculate divergence date estimates to examine the chronological origins and historical diversification of Cercopoidea. The results of this investigation suggest that: (i) four of the five described families are monophyletic; Epipygidae was recovered consistently as originating within Aphrophoridae; (ii) the exclusively Old World Machaerotidae is the most anciently diversified family of extant spittlebugs; (iii) New World Cercopidae (i.e. Ischnorhininae) constitute a derived monophyletic lineage; (iv) the genus Microsargane Fowler, classified currently within Aphrophoridae, actually belongs within Cercopidae; and (v) the origins of the major spittlebug lineages probably coincided with the breakup of Pangaea and, subsequently, Gondwana, as well as major floristic diversification such as the rise of angiosperms.

The previously unknown phylogenetic relationships among Mantodea (praying mantids) were inferred from DNA sequence data. Five genes (16S rDNA, 18S rDNA, 28S rDNA, cytochrome oxidase II and histone 3) were sequenced for sixty-three taxa representing major mantid lineages and outgroups. The monophyly of mantid families and subfamilies was tested under varying parameter settings using parsimony and Bayesian analyses. The analyses revealed the paraphyly of Hymenopodidae, Iridopterygidae, Mantidae, and Thespidae and the monophyly of the Amorphoscelidae subfamily Paraoxypilinae. All represented subfamilies of Iridopterygidae and Mantidae appear paraphyletic. Mantoididae is sister group to the rest of the sampled mantid taxa. Lineages congruent with current subfamilial taxonomy include Paraoxypilinae, Hoplocoryphinae, Hymenopodinae, Acromantinae and Oligonicinae. The mantid hunting strategy is defined as either generalist, cursorial or ambush predators. By mapping hunting strategy onto our phylogeny, we reconstructed the ancestral predatory condition as generalist hunting, with three independent shifts to cursorial hunting and one shift to ambush hunting, associated with the largest radiation of mantid species.