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Appendix S1. Detailed description of the CATS models.

Table S1. List of the plant species found in the study plots in the 2007 survey.

Figure S1. Scatterplot matrix showing the pairwise relationships among eight continuous and one ordinal (AS) traits for all species.

Figure S2. Relative abundance of particular species and groups of species for the 27 years of the experiment (1981–2008).

Figure S3. Shifts in community-weighted traits among grazing intensity treatments for the first 27 years of the experiment (1981–2008).

Figure S4. Scatterplot matrix showing the pairwise relationships among eight continuous community-weighted traits for all plots, using the 2007 cover data.

Figure S5. Boxplots showing the differences in community-weighted traits among fertiliser and grazing intensity treatments for two traits (LSC and LPC).

Figure S6. Results of CATS model for the 2007 vegetation cover data, using all traits (Table 1) and an informative neutral prior.

Figure S7. Predictive capacity (Pearson r2) of the CATS model over all plots as the number of contraints.

Figure S8. Results of CATS model for the 2007 vegetation cover data, using all traits (Table 1)

Figure S9. Boxplots showing the differences in lamada-values among fertiliser and grazing intensity treatments for three traits.

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