Rao's quadratic entropy as a measure of functional diversity based on multiple traits

By Z. Botta‐Dukát. 2005

1,178 citations recorded by the source corpus.

Subfields: Ecology, Ecology, Evolution, Behavior and Systematics, Nature and Landscape Conservation

View Paper: https://www.semanticscholar.org/paper/ac04265d04bd515f014f90b4d427841e37ec6c4c

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In Ecology

In Ecology, Evolution, Behavior and Systematics

In Nature and Landscape Conservation

Citations in the corpus

Nitrification is linked to dominant leaf traits rather than functional diversity (2011, methodology): “I used ‘quadratic entropy’ (FDQ), which is the sum of the distances between pairs of species in trait space, weighted by the product of their relative abundances (Botta-Dukát 2005).”
Contrasting mass‐ratio vs. niche complementarity effects on litter C and N loss during decomposition along a regional climatic gradient (2017, methodology): “In contrast, Rao’s quadratic entropy (Rao’s Q) was used to assess the importance of niche complementarity (Botta-Dukat 2005), which states that the degree of trait dissimilarity”
Traits Without Borders: Integrating Functional Diversity Across Scales. (2016, methodology): “In addition, the decomposition of dissimilarity between PN and PU was not possible using dissimilarity-based methods for diversity partitioning [61,62,64].”
Functional diversity: back to basics and looking forward. (2006, background): “…of the amount of variation in the traits of species (Walker et al. 1999; Petchey & Gaston 2002b; Mason et al. 2003; Heemsbergen et al. 2004; Botta-Dukát 2005; Mouillot et al. 2005; Ricotta 2005), although the analogous problem of how to summarize the extent of genetic differences among…”
Measuring diversity: the importance of species similarity. (2012, background): “References: Faith (1992), Rao (1982a,b), Chao et al. (2010), Hill (1973), Simpson (1949), Berger and Parker (1970), Hurlbert (1971), Smith and Grassle (1977), Ricotta and Szeidl (2006), Allen et al.”
Measuring biodiversity to explain community assembly: a unified approach (2011, background): “The quadratic entropy has been adapted to measure species diversity, trait diversity and phylogenetic diversity in a wide range of applications (Pavoine et al., 2004; Botta-Dukát, 2005).”
Functional diversity measures: an overview of their redundancy and their ability to discriminate community assembly rules (2010, methodology): “Then, Botta-Dukát (2005) advised the use of Rao’s quadratic entropy (following Rao 1982) as a functional diversity measure measuring the mean functional distance between two randomly chosen individuals.”
A trait-based experimental approach to understand the mechanisms underlying biodiversity–ecosystem functioning relationships (2014, methodology): “correlated with the FDJena levels given by the experimental design we used the functional diversity index Rao’s Q (Botta-Dukat, 2005).”
Functional flower traits and their diversity drive pollinator visitation (2017, background): “…relative abundances of species (in our study: blossom cover) and a measure of the pairwise functional differences between species as suggested by Botta-Dukát (2005) FD d p p i S j i S ij i j= = − = + ∑ ∑ 1 1 1 (1) where dij is the difference between the ith and jth species and pi is the…”
Current use of and future needs for soil invertebrate functional traits in community ecology (2014, background): “They assumed that the responses of functional diversity indices 326 calculated from traits (e.g. Rao index of diversity, Botta-Dukat 2005) to habitat composition 327 and landscape heterogeneity were consistent across geographical regions.”
Variations in species and functional plant diversity along climatic and grazing gradients (2006, methodology): “When the species’ dissimilarity in trait space is weighted by the species’ abundance, as proposed here, the resulting FD index is then a generalization of the Simpson’s index of species diversity (Rao 1982, Botta-Dukat 2005).”
Assessing functional diversity in the field - methodology matters! (2007, background): “Functional diversity can be quantified using a variety of indices that capture different aspects of the distribution of trait values within a community (see recent reviews by Bótta-Dukàt 2005; Ricotta 2005; Petchey & Gaston 2006).”
Little evidence for limiting similarity in a long‐term study of a roadside plant community (2010, methodology): “In addition to FD (Petchey & Gaston 2002, 2006), we also calculated mean dissimilarity (Heemsbergen et al. 2004), Q (Botta-Dukát 2005), and a measure (PS) by Podani & Schmera (2006).”