Entropy and the species accumulation curve: a novel entropy estimator via discovery rates of new species

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Estimating diversity and entropy profiles via discovery rates of new species (2015, methodology): “For this reason, Hill (1973), T othm er esz (1995), Gotelli & Chao (2013), Chao et al. (2014) and others suggested that biologists should instead use all the information contained in their data, by plotting the complexity measure as a continuous function of q.”
Unifying Species Diversity, Phylogenetic Diversity, Functional Diversity, and Related Similarity and Differentiation Measures Through Hill Numbers (2014, unknown): “The estimation of the exponential of Shannon entropy (q = 1) is also surprisingly nontrivial (see Chao et al. 2013), but for q = 2, there is a nearly unbiased estimator based on statistical estimation theory.”
Rarefaction and extrapolation with Hill numbers: a framework for sampling and estimation in species diversity studies (2014, unknown): “Chao et al. (2013) derived the following nearly unbiased estimator, ^ H ( ‘ ), of Shannon entropy H ¼ H ( ‘ ) ¼ (cid:5) P ¼ 1 p i log p i as follows: T ABLE 1.”