Diversity and dissimilarity coefficients: A unified approach☆

By Calyampudi R. Rao. 1982

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Citations in the corpus

Learning to select data for transfer learning with Bayesian Optimization (2017, positive): “• Entropy (Shannon, 1948): (Rényi, 1961): (Rao, 1982):”
How Generalizable Is Your Experiment? An Index for Comparing Experimental Samples and Populations (2014, methodology): “It is also used widely in genomics for comparing the alleles in different populations (e.g., Chattopadhyay, Chattopadhyay, & Rao, 2009; Shen et al., 2006; Zhang & Wang, 2009) as well as in ecology to measure diversity within a population (e.g., Rao, 1982).”
Assembly rules of ectoparasite communities across scales: combining patterns of abiotic factors, host composition, geographic space, phylogeny and traits (2015, methodology): “We used the Rao dissimilarity index (Rao 1982) for the former(s) and the Mahalanobis distance for the latter.”
Functional traits in cover crop mixtures: Biological nitrogen fixation and multifunctionality (2018, methodology): “To link ecosystem functions to functional diversity, I calculated Rao’s Quadratic Entropy (Rao) (Rao, 1982; Schleuter, Daufresne, Massol, & Argillier, 2010) for each treatment using FDiversity software (Casanoves, Pla, Di Rienzo, & Dıaz, 2011) (Appendix S3).”
A user's guide to functional diversity indices (2010, background): “…(2007) 3.4 FDs Functional divergence (onedimensional) ( ) ( ) ( ) ( ) 1 3 max min cc t t ts tss Ss S Q Y Q Y X X ∈∈ − − where Yt is a dummy variable that takes values Xts with frequency As. this study 3.5 FDQ Rao’s quadratic entropy ∑∑ ∈ ∈c cSs Ss ss ssdist A AA ' 2 ' )',( Rao (1982), Champely and…”
Niche breadth, rarity and ecological characteristics within a regional flora spanning large environmental gradients (2012, methodology): “We measured the Rao beta-diversity index using the ‘disc’ function in the ‘ade4’ R software package (Rao, 1982).”
A distance-based framework for measuring functional diversity from multiple traits. (2010, methodology): “…this framework, as well as three other FD indices: the community-level weighted means of trait values (CWM; Lavorel et al. 2008), Rao’s quadratic entropy (Rao 1982, Botta-Dukát 2005), and functional group richness (FGR) based on a posteriori functional classifications (Petchey and Gaston 2006).”
Phylogenetic and functional alpha and beta diversity in temperate and tropical tree communities (2012, background): “This metric is highly correlated with the 325 more broadly known metric Rao's D (Rao 1982), but weakly correlated with the nearest 326 neighbor metric (Swenson 2011b).”
The geography of climate change: implications for conservation biogeography (2010, background): “Rao’s quadratic entropy (Rao, 1982), modified for a continuous distribution, is a useful measure that incorporates the evenness and degree of spread of values along a climate axis:”
Variations in species and functional plant diversity along climatic and grazing gradients (2006, methodology): “The FD was based on the adaptation of an index of species dissimilarity (Rao 1982).”
Community assembly along a soil depth gradient: contrasting patterns of plant trait convergence and divergence in a Mediterranean rangeland (2012, unknown): “…Shipley & Navas 2010): CWV ¼ XS i¼1 pi ðti CWMÞ2 eqn 2 This formulation of trait variance is close to Mason et al.’s (2003) FDvar and to Rao’s quadratic entropy calculated with Euclidian dissimilarities (Rao 1982; De Bello et al. 2009), which both yielded similar results to CWV (results not shown).”
Phylogenetic alpha and beta diversity in tropical tree assemblages along regional-scale environmental gradients in northwest South America (2014, unknown): “This metric has been shown to be equivalent to Rao’s dissimilarity (Rao 1982; Swenson 2011) and has a long history of usage in community ecology.”
Global legume diversity assessment: Concepts, key indicators, and strategies (2013, background): “Other useful measures include functional richness (Cornwell & al., 2006) and Rao’s quadratic entropy (Rao, 1982; Ricotta, 2005).”
Combining richness and abundance into a single diversity index using matrix analogues of Shannon's and Simpson's indices (2006, unknown): “Looking towards the future, maybe it will be possible to combine Rao's (1982) quadratic Simpson's index with I(i, j) the modified Shannon's and Simpson's indices, 1 and (i, j) H(i) S(i)' and thereby also include weights regarding geographic and taxonomic isolation.”