Equitability Indices: Dependence on the Species Count

By A. Sheldon. 1969

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

Does pollen-assemblage richness reflect floristic richness? A review of recent developments and future challenges (2016, unknown): “…of Hill 488 numbers 489 𝐸𝛼,𝛽 = 𝑁𝛼 𝑁𝛽⁄ where E is evenness, N is a Hill number, and α and β are the orders of N and α ≠ β. Hill (1973) also 490 argues that a meaningful evenness measure should be independent of taxon richness and proposes 491 N2 / N1 as an appropriate measure (Sheldon, 1969).”
An updated consumer’s guide to evenness and related indices (2012, background): “Species diversity is traditionally thought to consist of two components, richness and evenness (Lloyd and Ghelardi 1964, Pielou 1966a, Sheldon 1969, Hurlbert 1971, Peet 1974, DeJong 1975, Solomon 1979, Taillie 1979, Alatalo 1981, Smith and Wilson 1996, Rousseau et al. 1999, Ricotta and Avena 2000,…”
Diversity and equitability ordering profiles applied to study forest structure (2012, methodology): “2a and c show the intrinsic diversity ordering Ikðk;MkÞ of the FSTs considered, and make it possible to observe if their abundance distribution is consistent with the definition of diversity.”
Parameterization of biodiversity–productivity relationship and its scale dependency using georeferenced tree‐level data (2019, background): “The first evenness index (E1) was proposed by Sheldon (1969): (3) qD= ( s ∑ i=1 p q i )1∕(1−q) (4) 1D= lim q→1 qD=exp ( s ∑ i=1 pi ln pi ) =exp (Hsh) (5) 2D= ( s ∑ i=1 P2 i )−0.5 = 1 1−HGS (6)E1= 1D S = exp (Hsh) S Definition Unit Mean SD P Primary forest productivity measured in periodic annual…”
Inoculum Sources and Genotypic Diversity of Phytophthora infestans in Southern Flevoland, The Netherlands (2000, background): “This statistic, presenting the Shannon index as a fraction of the maximum diversity in the sample, has been found to be relatively stable and has provided a good measure when sample sizes varied (Sheldon, 1969).”
Predicting plant species diversity in a longleaf pine landscape1 (2004, background): “…statistics: 1) species richness (number of species), Shannon’s index of diversity (Ludwig & Reynolds, 1988), and Sheldon’s index of evenness (Sheldon, 1969 in Ludwig & Reynolds, 1988) in herbaceous ground cover (data from 0.5-m2 subplots); and 2) species richness, diversity, and evenness…”