We provide the first description of the skull, osteoderms, and hyoid apparatus of the poorly known alligator lizard Elgaria panamintina, and compare the cranial osteology of that species to the widespread and well-studied taxon Elgaria multicarinata. Patterns of morphological variation resulting from ontogenetic transformations and pathology are discussed. We employed x-ray computed tomography (CT) scans to examine two adult specimens of Elgaria panamintina and two adult specimens of Elgaria multicarinata, in addition to examining multiple traditionally prepared skeletal specimens of the latter species. CT scans provide simultaneous study of both articulated and disarticulated elements, allowing us to describe and document the morphology of the skull with exceptional precision and detail. The description of the skull of Elgaria panamintina serves as a generalization for all Elgaria; here we provide the first complete description of the skull of this genus for future uses in morphological and phylogenetic studies of both extant species and fossils.

We consider two atoms trapped in a one-dimensional harmonic oscillator potential interacting through a contact interaction. We study the transition from the non-interacting to the strongly interacting Tonks-Girardeau state, as the interaction is varied from zero to infinitely large repulsive values. The dynamic structure function is computed by means of direct diagonalization calculations with a finite number of single particle modes. The response of the system against a monopolar perturbation is characterized by the moments of the dynamic structure function which are explicitly calculated from the dynamic structure function and by means of sum rules.

Ambystoma (Tschudi, 1838) represents a speciose clade of salamanders that are found across much of North America. Fossils referred to Ambystoma are reported from early Cenozoic deposits and are common in Quaternary fossil deposits. Most fossils identified as Ambystoma are isolated vertebrae. Both quantitative and qualitative characters were reported as being useful for identifying fossilized vertebrae of Ambystoma below the genus level. However, there is limited information on intraspecific variation in those characters and previous studies noted intracolumnar variation which affects the utility of those characters for fossil identification. A lack of understanding of variation in modern species of Ambystoma casts uncertainty on our ability to identify fossil vertebrae confidently. We aimed to document intraspecific and intracolumnar variation in vertebral morphology among species of Ambystoma and examine the implications for fossil identification. We assembled one of the largest skeletal data sets for Ambystoma and took linear measurements on 15 species. We used 2D geometric morphometric analyses to characterize atlantal shape variation in Ambystoma. We apply those morphometric data in a case study where we identify fossil vertebrae from Hall's Cave, a Quaternary fossil locality in central Texas. We found patterns of intraspecific and intracolumnar variation that have substantial implications for fossil identification. Classification accuracies for species and clades within Ambystoma varied considerably. Overall classification accuracies based on size-adjusted measurements and 2D geometric morphometric landmarks were lower compared with classifications from non-size adjusted linear measurements. We identified fossil vertebrae from our case study as likely belonging to the tiger salamander clade within Ambystoma, but found that some fossils with lower classification probabilities are of uncertain identity. We discuss biogeographic implications for our fossil identifications and comment on challenges and next steps for advancing our understanding of morphological variation in Ambystoma.

Background Alligator lizards (Gerrhonotinae) are a well-known group of extant North American lizard. Although many fossils were previously referred to Gerrhonotinae, most of those fossils are isolated and fragmentary cranial elements that could not be placed in a precise phylogenetic context, and only a handful of known fossils are articulated skulls. The fossil record has provided limited information on the biogeography and phylogeny of Gerrhonotinae. Results We redescribe a nearly complete articulated fossil skull from the Pliocene sediments of the Anza-Borrego Desert in southern California, and refer the specimen to the alligator lizard genus Elgaria. The fossil is a representative of a newly described species, Elgaria peludoverde. We created a morphological matrix to assess the phylogeny of alligator lizards and facilitate identifications of fossil gerrhonotines. The matrix contains a considerably expanded taxonomic sample relative to previous morphological studies of gerrhonotines, and we sampled two specimens for many species to partially account for intraspecific variation. Specimen-based phylogenetic analyses of our dataset using Bayesian inference and parsimony inferred that Elgaria peludoverde is part of crown Elgaria. The new species is potentially related to the extant species Elgaria kingii and Elgaria paucicarinata, but that relationship was not strongly supported, probably because of extensive variation among Elgaria. We explored several alternative biogeographic scenarios implied by the geographic and temporal occurrence of the new species and its potential phylogenetic placements. Conclusions Elgaria peludoverde is the first described extinct species of Elgaria and provides new information on the biogeographic history and diversification of Elgaria. Our research expands the understanding of phylogenetic relationships and biogeography of alligator lizards and strengthens the foundation of future investigations. The osteological data and phylogenetic matrix that we provided will be critical for future efforts to place fossil gerrhonotines. Despite limited intraspecific sampled sizes, we encountered substantial variation among gerrhonotines, demonstrating the value of exploring patterns of variation for morphological phylogenetics and for the phylogenetic placement of fossils. Future osteological investigations on the species we examined and on species we did not examine will continue to augment our knowledge of patterns of variation in alligator lizards and aid in phylogenetics and fossil placement.

Lizards are a diverse reptile group with an ancient and global evolutionary history. Fossil lizards first appeared in North America during the Mesozoic. Many lizard lineages have inhabited North America throughout geologic time, including several lineages that are extinct, others that no longer occur on the continent, and many groups that are still there today. Lizards are currently found in a diverse range of habitats and in regions across the continent, including islands and human‐modified habitats. The modern lizard biota of North America contains diverse biogeographic and phylogenetic components along with the evolution of many distinctive behaviours, morphologies, and ecologies, including the evolution of venom, repeated limb loss, and ecological specialisations. Some lizards have been introduced to North America from elsewhere in the world or the continent, posing a potential problem for native biodiversity. Key Concepts North America contains an astounding diversity of lizards both in the modern biota and through geologic time. Although many fossil lizards are documented, there is still a lot to learn from the fossil record. Historic extirpations and extinctions of lizards are known and conservation efforts are needed to preserve lizard biodiversity. Biogeographic scenarios of lizards in North America are often disputed but are informed by fossil and molecular evidence. North American lizards have a diverse set of behavioural, morphological and ecological characteristics.

Background There are limited data on intra- and interspecific osteological variation for many squamate clades. Those data are relevant for phylogenetic analyses that use osteological characters and for apomorphic identifications of fossils. We investigate whether morphological features in the skulls of extant gerrhonotine lizards can be used to distinguish taxa at the species- and genus-level and assess whether newly discovered intra- and interspecific osteological variation alters the utility of previously reported apomorphic features. We examined skulls of species belonging to the gerrhonotine genera Elgaria and Gerrhonotus. These genera contain 17 extant species, but the cranial osteology of only a few species was previously examined. As a result, intra- and interspecific osteological variation of these gerrhonotines is poorly understood. Methods We employed high-resolution x-ray computed tomography (CT) to scan 25 alcohol-preserved specimens. We provide data on the skulls of all eight species of Elgaria, four for the first time, and five species of Gerrhonotus, three for the first time. We examined 3-D reconstructed skulls of the scanned specimens as well as dry, traditionally prepared skeletons (when they were available). Results We found that the purported diagnostic utility of many previously described morphological features is impacted because of substantial morphological variation between and within species. We present an assessment of osteological differences that may be useful to differentiate species of Elgaria and Gerrhonotus, many of which are present on isolated cranial elements commonly recovered as fossils, including the premaxilla, maxilla, parietal, pterygoid, prootic, dentary, and surangular. We demonstrate the importance of documenting patterns of osteological variation using large sample sizes, and the utility of examining disarticulated cranial elements of the squamate skull to identify diagnostic morphology. This study adds to a growing body of literature suggesting that extensive documentation of morphological variation is needed to further our understanding of the phylogenetic and diagnostic utility of morphological features across vertebrate clades. Efforts in that direction likely will benefit from examination of disarticulated skeletal elements.

Fossil identification practices have a profound effect on our interpretation of the past because these identifications form the basis for downstream analyses. Therefore, well-supported fossil identifications are paramount for examining the impact of past environmental changes on populations and communities. Here we apply an apomorphic identification framework in a case study identifying fossil lizard remains from Hall's Cave, a late Quaternary fossil site located in Central Texas, USA. We present images and descriptions of a broad comparative sample of North American lizard cranial elements and compile new and previously reported apomorphic characters for identifying fossil lizards. Our fossil identifications from Hall's Cave resulted in a minimum of 11 lizard taxa, including five lizard taxa previously unknown from the site. Most of the identified fossil lizard taxa inhabit the area around Hall's Cave today, but we reinforce the presence of an extirpated species complex of horned lizard. A main goal of this work is to establish a procedure for making well-supported fossil lizard identifications across North America. The data from this study will assist researchers endeavoring to identify fossil lizards, increasing the potential for novel discoveries related to North American lizards and facilitating more holistic views of ancient faunal assemblages.

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