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Appendix S1. Details on the analysis to total yield (equation 1)

Appendix S2. Details on the calculation of transgressive overyielding and its significance range

Appendix S3. Details on the analysis to the species proportions over time

Fig. S1. Predicted vs. observed yield from the regression model.

Fig. S2. Predicted vs. observed proportions for the four species.

Table S1. Species proportion in monocultures and mixtures

Table S2. Model selection tests for the averaged yield over all 3 years

Table S3. Regression coefficients for the effects of species proportions and N fertilization on the total yield

Table S4. Regression coefficients for the effects of species identity, increased species biomass and nitrogen fertilization on the relative growth rate differences

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