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Appendix S1. Values of Akaike Information Criterion for different correlation structures.

In the main text, we reported the results of model fits to the data on body mass and extinction risk for Australian mammals first assuming that traits are phylogenetically uncorrelated and second assuming that traits evolve according to a Brownian motion model of evolution. In this Appendix, we present the results of similar model fits assuming different correlation structures (Grafen 1989; Martins & Hansen 1997; Freckleton et al. 2002) (Tables A1–A3). The results for the Blomberg et al. (2003) correlation structure are not presented here because they were identical to the results for the Brownian correlation structure (Table 3 in the main text).

Appendix S2. Coefficient estimates for best-fit models.

In the main text and Appendix S1, we reported the results of model fits to the data on body mass and extinction risk for Australian mammals assuming different phylogenetic correlation structures for trait evolution (Tables 2,3; Tables A1–A3). In this Appendix, we present the coefficient estimates for the best-fit models (Tables A4–A8).

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