1989
DOI: 10.1007/bf00379115
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Comparison of skewness coefficient, coefficient of variation, and Gini coefficient as inequality measures within populations

Abstract: The moment skewness coefficient, coefficient of variation and Gini coefficient are contrasted as statistical measures of inequality among members of plant populations. Constructed examples, real data examples, and distributional considerations are used to illustrate pertinent properties of these statistics to assess inequality. All three statistics possess some undesirable properties but these properties are shown to be often unimportant with real data. If the underlying distribution of the variable follows th… Show more

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Cited by 182 publications
(108 citation statements)
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“…The ecological and evolutionary significance of these population characteristics is great. The evaluation of size hierarchies has led to some confusion (Weiner 1985), and different measures of size inequality are used (Bendel et al 1989). Skewness has been used to determine the onset of self-thinning due to differential growth rates between larger and smaller 'suppressed' plants (Weiner & Thomas 1986), confirming the asymmetric competition hypothesis of dominance and suppression of smaller individuals by larger ones (Begon 1984).…”
Section: Discussionmentioning
confidence: 96%
See 1 more Smart Citation
“…The ecological and evolutionary significance of these population characteristics is great. The evaluation of size hierarchies has led to some confusion (Weiner 1985), and different measures of size inequality are used (Bendel et al 1989). Skewness has been used to determine the onset of self-thinning due to differential growth rates between larger and smaller 'suppressed' plants (Weiner & Thomas 1986), confirming the asymmetric competition hypothesis of dominance and suppression of smaller individuals by larger ones (Begon 1984).…”
Section: Discussionmentioning
confidence: 96%
“…Skewness of size distributions has rarely been used to assess coral populations (but see Bak & Meesters 1998, whereas in plant ecology it is widely used as a measure of inequality among members of populations (e.g. Hara 1988, Bendel et al 1989, Santos 1995. Most plant populations consist of many small individuals and relatively few large ones that comprise most of the population's biomass and thus contribute inordinately to the gene pool of the next generation.…”
Section: Discussionmentioning
confidence: 99%
“…It started in 1984 and is conducted on the annual basis ever since. 4 The GSOEP is the largest and most comprehensive household panel in Germany, which compared to the administrative data provided by the Federal Employment Agency includes not only the job search information of unemployed workers registered with the PEA but also of other non-employed workers, who want to find a job.…”
Section: German Socio Economic Panelmentioning
confidence: 99%
“…The three measures differ in their sensitivity towards changes in the mean or changes in the tails (see e.g. Bendel et al, 1989;Cowell and Flachaire, 2007). The coefficient of variation and the Gini coefficient are more sensitive to shifts in the mean compared to the variance of logs.…”
Section: Comparing the Distributions Of (Suitable) Applicantsmentioning
confidence: 99%
“…For the large different average value DO concentration at different time, we chose dispersion coefficient Vx as the index to measure the uniformity of DO concentration [9][10], the compute formula as follows: …”
Section: A Index Of Uniform Distributionmentioning
confidence: 99%