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Appendix S1 Overview of community assembly studies that explicitly address scaling.

Appendix S2 Details of the method.

Appendix S3 Boxplots of distributions of α-diversity-percentiles within grassland community plots across 30 repetitions of the same scale choice.

Appendix S4 Table with overview of species pool structures.

Appendix S5 Table with results from regression and partial regression analyses to explain the influence of scale choices.

Appendix S6 Boxplots of distributions of α-diversity percentiles within bare-rock community plots.

Appendix S7 Boxplots of distributions of α-diversity-percentiles within sparsely vegetated community plots.

Appendix S8 Violin plots of distributions of α-diversity-percentiles within scale choices across bare-rock community plots.

Appendix S9 Violin plots of distributions of α-diversity-percentiles within scale choices across sparsely vegetated community plots.

Appendix S10 Plot of interactive effect of α-diversity-residuals and phylogenetic constraints on percentile-residuals.

Appendix S11 Visual presentation of the regression and partial regression analyses for bare-rock community plots.

Appendix S12 Visual presentation of the regression and partial regression analyses for sparsely vegetated community plots.

Appendix S13 Spearman rank correlations of α-diversity-percentiles for bare-rock communities.

Appendix S14 Spearman rank correlations of α-diversity-percentiles for sparsely vegetated communities.

Appendix S15 Scatterplots of the greatest range of α-diversity-percentiles across all scale choices against number of species.

Appendix S16 Scatterplots of the greatest range in α-diversity-percentiles in space.

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