C20. Comparing diversities: gini's index

Lyons, N. I.; Hutcheson, K.

doi:10.1080/00949657808810250

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Introduction2

Gini's Diversity1

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1979

2013

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Cited by 7 publications

(3 citation statements)

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“…The estimates derived from multinomial models (e.g. sampling with replacement) are thus inappropriate and underestimate the actual variance (Kempton, 1977;Lyons and Hutcheson. 1978).…”

Section: Introductionmentioning

confidence: 99%

Nonparametric Estimation of Species Richness

Smith¹,

Belle²

1984

Biometrics

538

364

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Two procedures, the jackknife and the bootstrap, are discussed as methods for estimating the number of species by the sampling of quadrats. Explicit formulas for both procedures are presented and evaluated under a model with a random distribution of individuals. The jackknife and bootstrap are shown to reduce the bias although they underestimate the actual number of species if there is a large number of rare species and the number of quadrats sampled is small. When a small number of quadrats is sampled, the jackknife is shown to give better estimates. When the number of quadrats is large, the jackknife tends to overestimate the number of species and the bootstrap performs better.

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“…The estimates derived from multinomial models (e.g. sampling with replacement) are thus inappropriate and underestimate the actual variance (Kempton, 1977;Lyons and Hutcheson. 1978).…”

Section: Introductionmentioning

confidence: 99%

Nonparametric Estimation of Species Richness

Smith¹,

Belle²

1984

Biometrics

538

364

View full text Add to dashboard Cite

show abstract

“…An unbiased estimator of Gini's diversity measure described by Lyons and Hutcheson (1978) is given by where f f2, giving maximum value of d from equation (2.3) equal to one and minimum value equal to zero respectively.…”

Section: Gini's Diversitymentioning

confidence: 99%

“…The discriminatory power of Gini's diversity measure with respect to common species is discussed by Lyons and Hutcheson (1978). They have demonstrated with an example that Gini's diversity is most sensitive in comparison to Shannon's diversity when considering common and rare species.…”

Section: Introductionmentioning

confidence: 97%