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Appendix S1 Mean annual temperatures recorded at climate stations in Cusco and in Puerto Maldonado.

Appendix S2 Herbaria contributing data to this study and accessed through the Global Biodiversity Information Facility.

Appendix S3 Percentage of Andean tree genera showing upward migrations as indicated by a positive change in the centre of gravity weighted by number of individuals or basal area versus the minimum abundance criteria to be included in the analyses.

Appendix S4 The annualized migration rate for Andean tree genera as weighted by the distribution of individuals or basal area versus the minimum abundance criteria to be included in the analyses.

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