Título:
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Update: A non-parametric method for the measurement of size diversity, with emphasis on data standardization. The measurement of the size evenness
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Autor/a:
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Quintana Pou, Xavier; Egozcue, Juan José; Martínez-Abella, Omar; López-Flores, Rocio; Gascón Garcia, Stéphanie; Brucet Balmaña, Sandra; Boix Masafret, Dani
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Otros autores:
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Ministerio de Ciencia e Innovación (Espanya) |
Abstract:
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A method for the measurement of the size diversity based on the classical Shannon–Wiener expression was proposed as a proxy of the shape of the size distribution. The summatory of probabilities of a discrete variable (such as species relative abundances) in the original Shannon–Wiener expression was substituted by an integral of the probability density function of a continuous variable (such as body size). Here, we propose an update of this method by including the measurement of the size e-evenness, just dividing the exponential of the size diversity by its possible maximum for a given size range. Assuming a domain of the size range of (0,∞), for a given logarithmic mean ( math formula) and a logarithmic standard deviation math formula, the distribution with the highest diversity is the Log-Normal. The size e-evenness ranges between 0 and 1 because of the division by the maximum exponential diversity. Size e-evenness is useful to discriminate whether variations in size diversity are due to changes in the shape of the size distribution or caused by differences in size dispersion |
Abstract:
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This work was supported by grants from the Generalitat de Catalunya (ref. 2014 SGR 484) and from the Ministerio de Ciencia e Innovaci on, Programa de Investigaci on Fundamental
(CGL2011-23907) |
Materia(s):
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-Mostreig (Estadística) -Sampling (Statistics) -Estimació de paràmetres -Parameter estimation -Funcions de variables complexes -Functions of complex variables |
Derechos:
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Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
Tipo de documento:
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Artículo Artículo - Versión publicada |
Editor:
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Association for the Sciences of Limnology and Oceanography (ASLO)
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