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Appendix S1 Histograms and bootstrap error measures for the 214 Barro Colorado Island species.

Appendix S2 Relative modes for 214 Barro Colorado Island species.

Appendix S3 Relative modes for 649 Pasoh species.

Appendix S4 Histogram summary of relative mode patterns for 214 Barro Colorado Island species.

Appendix S5 Emerging humps in ecological theories.

Appendix S6 Emerging occupancy humps for 13 species of San Diego sparrows.

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