Appendix 1 The top subset of models for each of the alternative modelling approaches and response variables. A) Estimate linear non-phylogenetic regression, B) Weighted estimate non-phylogenetic regression, C) z-score PGLS, D) z-score linear model. Appendix 2 The model averaged coefficients for trait that was in the top subset of models. Each graph represents a different modelling approach/response variable combination. A) Estimate non-phylogenetic regression, B) weighted estimate non-phylogenetic regression, C) z-score PGLS, D) z-score non-phylogenetic regression. The reference distribution type was “southern”, which has a parameter estimate set to 0. Appendix 3 A comparison of the importance scores for each trait across each of the modelling and response variable combinations.