Appendix D. Proof details for some formulas (Eqs. 5, 8, 9b, 11a, and 11b of the main text) and a replication principle. Anne Chao Nicholas J. Gotelli T. C. Hsieh Elizabeth L. Sander K. H. Ma Robert K. Colwell Aaron M. Ellison 10.6084/m9.figshare.3568416.v1 https://wiley.figshare.com/articles/dataset/Appendix_D_Proof_details_for_some_formulas_Eqs_5_8_9b_11a_and_11b_of_the_main_text_and_a_replication_principle_/3568416 Proof details for some formulas (Eqs. 5, 8, 9b, 11a, and 11b of the main text) and a replication principle. 2016-08-10 17:08:02 rarefaction diversity abundance data Hill numbers prediction species richness extrapolation incidence data sample coverage interpolation Environmental Science Ecology