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Full-Text Articles in Physical Sciences and Mathematics
Ecological And Biogeographic Null Hypotheses For Comparing Rarefaction Curves, Luis Cayuela, Nicholas J. Gotelli, Robert K. Colwell
Ecological And Biogeographic Null Hypotheses For Comparing Rarefaction Curves, Luis Cayuela, Nicholas J. Gotelli, Robert K. Colwell
College of Arts and Sciences Faculty Publications
The statistical framework of rarefaction curves and asymptotic estimators allows for an effective standardization of biodiversity measures. However, most statistical analyses still consist of point comparisons of diversity estimators for a particular sampling level. We introduce new randomization methods that incorporate sampling variability encompassing the entire length of the rarefaction curve and allow for statistical comparison of i ≥ 2 individual-based, sample-based, or coverage-based rarefaction curves. These methods distinguish between two distinct null hypotheses: the ecological null hypothesis (H0eco) and the biogeographical null hypothesis (H0biog). H0eco states that the i samples were drawn from a single assemblage, and any differences …
Unveiling The Species-Rank Abundance Distribution By Generalizing The Good-Turing Sample Coverage Theory, Anne Chao, T. C. Hsieh, Robin L. Chazdon, Robert K. Colwell, Nicholas J. Gotelli, B. D. Inouye
Unveiling The Species-Rank Abundance Distribution By Generalizing The Good-Turing Sample Coverage Theory, Anne Chao, T. C. Hsieh, Robin L. Chazdon, Robert K. Colwell, Nicholas J. Gotelli, B. D. Inouye
College of Arts and Sciences Faculty Publications
Based on a sample of individuals, we focus on inferring the vector of species relative abundance of an entire assemblage and propose a novel estimator of the complete species-rank abundance distribution (RAD). Nearly all previous estimators of the RAD use the conventional "plug-in" estimator pi(sample relative abundance) of the true relative abundance piof species i. Because most biodiversity samples are incomplete, the plug-in estimators are applied only to the subset of species that are detected in the sample. Using the concept of sample coverage and its generalization, we propose a new statistical framework to estimate the complete RAD by separately …