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Appendix S1. Detailed methods for maximum oxygen consumption, citrate synthase and lactate dehydrogenase.

Appendix S2. Phylip file of the phylogeny depicted in Figure 1A.

Appendix S3. DSC file corresponding to the phylogenetic tree in Figure 1A.

Appendix S4. Alternative methods of multiple regression model selection.

Table S1. Species list, sample sizes, and sources for the species used in the study.

Table S2. Male means ± standard errors for critical swimming speed (Ucrit), sprint speed, maximum oxygen consumption (VO2max), citrate synthase activity (CS Vmax), and lactate dehydrogenase activity (LDH Vmax) for each sex among the 19 species/populations.

Table S3. Male means ± SE for five linear measurements, four mass measurements, and relative sword length (sword length/standard length [SW/SL]) among the 19 species used in the study.

Table S4. Results from ANCOVAs for traits used in phylogenetic analyses.

Table S5. Principal component loadings from a phylogenetic PCA (Revell 2009) based on the phylogeny from this study as depicted in Figure 1A.

Table S6. Principal component loadings from a phylogenetic PCA (Revell 2009) based on the total evidence nuclear phylogeny from Cui et al. (2013) as depicted in Figure 1B.

Table S7. Principal component loadings from a phylogenetic PCA (Revell 2009) based on the mitochondrial phylogeny from Cui et al. (2013) as depicted in Figure 1C.

Table S8. Full model multiple regressions on four models of evolution.

Figure S1. ML phylogram (–ln likelihood = 15,090.109907) obtained with RaxML for the combined dataset with 12 partitions.

Figure S2. Landmarks used in geometric morphometric analyses.

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