Sapheosaur
Sapheosaurs are an extinct group of rhynchocephalian reptiles from the Late Jurassic period. "Sapheosaurs" is an informal name for a group of rhynchocephalians closely related to the genus Sapheosaurus. It was first recognized as a group containing multiple genera by Hoffstetter in 1955. The group has sometimes been given a formal taxonomic name as the family Sapheosauridae, although in some analyses this group belongs to the family Sphenodontidae and thus cannot be assigned its own family. They were fairly advanced rhynchocephalians which may have had semiaquatic habits.
Classification
The most well-known members of the group are Sapheosaurus and Kallimodon, and most phylogenetic analyses on rhynchocephalians only study these two genera as representatives of sapheosaurs. Although a few early phylogenies in the 1990s did not find that these two formed a natural clade, the relation between these two is now considered to be more stable, and has been found in practically every major analysis of rhynchocephalians since Apesteguía & Novas.However, the relation between sapheosaurs as a whole and other rhynchocephalians is less clear. Although they are clearly members of the group Sphenodontia like almost all other rhynchocephalians, the construction of their jaw joints means that they were unable to move their jaws in a front-to-back chewing movement. This excludes them from the clade of sphenodonts which are capable of such movement, the so-called "eupropalinal sphenodonts" such as the tuatara,, its close relatives, and the herbivorous opisthodonts. They are also generally considered to be more derived than clevosaurs and basal genera such as Godavarisaurus and Sphenocondor. The in-group relations of sphenodonts are inconsistent between analyses, so although sapheosaurs may be the sister group of eupropalinal sphenodonts under some methodologies, other potentially more derived taxon include Homoeosaurus, Pamizinsaurus, Ankylosphenodon, the Sphenovipera+''Theretairus clade, and pleurosaurs.
A 2017 study utilizing both parsimony and bayesian analyses found some support for a clade including sapheosaurs, Vadasaurus, and pleurosaurs. Although the bayesian analysis placed this clade in a large polytomy with various other rhynchocephalian groups and genera, the parsimony analysis actually placed it among the eupropalinal sphenodonts. If this phylogeny is accurate, this would mean that an ancestor of this clade lost front-to-back chewing which was present in an even earlier ancestor, rather than never having it in the first place. A 2022 study found a clade containing pleurosaurs, Vadasaurus, sapheosaurs, Homoeosaurus, Kallimodon and Leptosaurus,'' to the exclusion of other neosphenodontians like Sphenodontidae. This clade was called Leptorhynchia.