Appendix S1. Method and results of the phylogenetic analysis, including a secondary analysis in which all multistate characters are additive.

Appendix S2. List of the 190 osteological characters used in the phylogenetic analysis.

Appendix S3. Matrix used in the analysis.

Figure S1. Strict consensus of three most parsimonious cladograms (tree length = 414 steps; ensemble consistency index, CI = 0.635; ensemble retention index, RI = 0.864; rescaled consistency index, RC = 0.549).

Figure S2. Evolutionary relationships of metriorhynchid species with body size data. Phylogeny based on the new phylogenetic analysis presented herein, with the multistate characters considered transformational sequences (i.e. character states are additive). Labelled nodes represent clades: (1) Metriorhynchidae; (2) Metriorhynchinae; (3) Geosaurinae; and (4) Geosaurini.

Table S1. Bias-corrected Akaike information criterion (AICc) weights for the four maximum likelihood models of Metriorhynchidae and its two subfamilies, with the most likely model highlighted in bold. Topology based upon all multistate characters being ordered.

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