Larger testes are associated with a higher level of polyandry, but smaller ejaculate volume, across bushcricket species (Tettigoniidae). K. Vahed, D. J. Parker & J. D. J. Gilbert Electronic Supplementary Material 2: Data Analysis For each species, the values obtained for body mass, testis mass, ampulla mass, sperm number, spermatophylax mass and the degree of polyandry were ln-transformed to meet the assumptions of parametric linear regression. Data on testis mass were analysed by fitting phylogenetic generalized least squares models (PGLS; Grafen 1989, Martins & Hansen 1997) using the ape package (Paradis et al. 2009) in R 2.10.0 (R Core Development Team 2008). We used the function corPagel in ape, which assumes a Brownian motion model of trait evolution whilst simultaneously estimating Pagel's , a measure of how closely covariance in the model residuals matches the structure of the phylogeny (Pagel 1999, Freckleton et al. 2002). Phylogenetic relationships between the different genera in the sub-family Tettigoniinae were taken from Rentz & Coless (1990), while phylogenetic relationships between the four taxa of Anonconotus in this study were provided by R. Szabo, G. Carron & M. Ritchie (unpublished molecular phylogeny based on Mitochondrial DNA). The relationships between the sub-families Tettigoniinae, Phaneropterinae and Bradyporinae were taken from Naskrecki (2000). Branch lengths were not available and so were arbitrarily set to 1. As candidate predictor variables to explain testis mass, we included male body mass, ampulla mass, sperm number, spermatophylax mass and polyandry, plus all possible two-way interactions between these variables. We fitted multiple models incorporating all combinations of these predictors under an Information Theoretic framework, using AICc as a criterion for model selection. Models were ranked according to their AICc, and models within 2 points of the lowest-ranked model were treated as equally likely (Burnham & Anderson 2002). References Burnham, K. P. & Anderson D. R. 2002 Model selection and multimodel inference: a practical information-theoretic approach. 2nd Edition. New York, USA: Springer-Verlag. Freckleton, R. P., Harvey, P. H. & Pagel, M. 2002 Phylogenetic analysis and comparative data: a test and review of evidence. Am. Nat. 160, 712–726. Grafen, A. 1989 The phylogenetic regression. Phil. Trans. R. Soc. B 326, 119-157. Martins, E. P. & Hansen, T. F. 1997 Phylogenies and the comparative method: a general approach to incorporating phylogenetic information into the analysis of interspecific data. Am. Nat. 149, 646–667. Naskrecki P, 2000 The phylogeny of katydids (Orthoptera: Ensifera: Tettigoniidae) and the evolution of their acoustic behaviour. PhD thesis, University of Connecticut, U.S.A. Pagel, M. 1999 Inferring the historical patterns of biological evolution. Nature 401, 877-884. Paradis, E., Claude, J. & Strimmer, K. 2004 APE: Analyses of Phylogenetics and Evolution in R language. Bioinformatics, 20, 289-290. R Core Development Team, 2008 R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL: http://www.R-project.org. Rentz D C F & D. H. Colless.1990 A classification of the shield-back katydids (Tettigoniinae) of the world. In The Tettigoniidae: biology, systematics and evolution (eds W. J. Bailey & D. C. F. Rentz), pp 352-377. Bathurst: Crawford House Press.