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Title:
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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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Author:
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Quintana, Xavier D.; Egozcue, Juan J.; Martínez-Abella, Omar; López-Flores, Rocío; Gascón, Stéphanie; Brucet Balmaña, Sandra; Boix, Dani
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Other authors:
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Universitat de Vic - Universitat Central de Catalunya. Centre Tecnològic BETA |
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Notes:
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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
(0,1), for a given logarithmic mean (mln) and a logarithmic standard deviation ðrlnÞ, 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. |
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Subject(s):
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-Biodiversitat
-Mesurament |
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Rights:
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Tots els drets reservats
http://www.aslo.org/openaccess.html
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Document type:
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Article
info:eu-repo/publishedVersion |
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Published by:
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Association for the Sciences of Limnology and Oceanography
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