Measuring diversity: the importance of species similarity.

By Tom Leinster, C. Cobbold. 2012

542 citations recorded by the source corpus.

Subfields: Ecological Modeling, Ecology, Evolution, Behavior and Systematics, Nature and Landscape Conservation, Statistics and Probability, Computational Biology & Bioinformatics

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Citations in the corpus

The magnitude of metric spaces (2010, background): “For an explanation of diversity in tune with the theory here, see [21].”
entropart : An R Package to Measure and Partition Diversity (2015, methodology): “The same relation holds between Ricotta and Szeidl’s entropy of a community (Ricotta and Szeidl 2006) and similarity-based diversity (Leinster and Cobbold 2012).”
Maximizing diversity in biology and beyond (2015, unknown): “Acknowledgments: We thank Mark Broom, Christina Cobbold, Ciaran McCreesh, Richard Reeve and the anonymous referees for helpful discussions.”
Measurement of diversity indices of avian communities at Taunsa Barrage Wildlife Sanctuary, Pakistan. (2013, background): “This evenness is an important component of diversity indices (Hill, 1973; Turchi et al., 1995; Leinster and Cobbold, 2012) and expresses evenly distribution of the individuals among different species.”
Dos and don'ts when inferring assembly rules from diversity patterns (2020, background): “Indices can differ in whether they account for: (a) species abundances or not (Chao, Chiu, & Jost, 2010; Hill, 1973; Leinster & Cobbold, 2012); (b) intraspecific variability or not (Pavoine & Izsak, 2014; Violle et al., 2012); (c) different phylogenetic (e.g., species, family versus order level) or…”
Estimating diversity and entropy profiles via discovery rates of new species (2015, background): “Hill numbers were recently extended to incorporate species phylogeny and/or function (Leinster & Cobbold 2012; Scheiner 2012; Chao, Chiu & Jost 2010, 2014).”
Magnitude, Diversity, Capacities, and Dimensions of Metric Spaces (2013, background): “See [10] for a thorough discussion of these diversity measures in the context of theoretical ecology, and [7] for a proof of a subtler relationship between maximum diversity and magnitude.”
Phylogenetic beta diversity, similarity, and differentiation measures based on Hill numbers (2014, background): “This has been done recently by Chao et al. (2010), Leinster and Cobbold (2012), and Scheiner (2012).”
A guide to phylogenetic metrics for conservation, community ecology and macroecology (2016, methodology): “By contrast the Leinster framework [Leinster & Cobbold, 2012; qDZ(p)] varied little in how it classified communities in our framework despite changes in q. Note that the Scheiner framework (Scheiner, 2012), although reliant on q, differs from the parametric indices in that it sums species-level ED…”
The magnitude of a graph (2014, background): “ly Propositions 2.11 and 2.12 and Section 4.) Specialized to metric spaces, dierent connections appear. First, the magnitude of a nite metric space arises in the study of biological diversity (as in [8]). More exactly, it is closely related to maximum diversity [5], which is a kind of maximum entrop”
An attribute‐diversity approach to functional diversity, functional beta diversity, and related (dis)similarity measures (2019, methodology): “Leinster and Cobbold (2012) converted the distance-based Tsallis-type entropy to its species-equivalent formulas for any diversity order q ≥ 0; their measures are expressed in terms of similarity, rather than distance, requiring a transformation from species pairwise distance to pairwise similarity.”
The Vendi Score: A Diversity Evaluation Metric for Machine Learning (2022, methodology): “Related to the metric we propose here is a similarity-sensitive diversity metric proposed in ecology by Leinster and Cobbold (2012), and which was introduced in the context of ml by Posada et al. (2020).”