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Appendix S1 Correlation coefficients and their level of significance of Figures 2, 3, 4 and 6.

Appendix S2 Distribution of data of key parameters.

Appendix S3 LMA, LL/LMA and photosynthetic rates across MAT and f.

Appendix S4 Simulation of optimal leaf longevity with varying k.

Appendix S5 Simulation of optimal leaf longevity with varying tl.

Appendix S6 Simulation of optimal leaf longevity with varying s.

Appendix S7 Correlation coefficients of parameters that have positive C balance.

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