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 Pou, Francisco Javier de; Egozcue Rubí, Juan José; Martinez Abella, Omar; Lopez Florez, Rocio; Gascon, Stephanie; Brucet, Sandra; Boix, Daniel
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis |
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 (0,8), 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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Peer Reviewed |
Subject(s):
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-Àrees temàtiques de la UPC::Enginyeria civil::Enginyeria hidràulica, marítima i sanitària::Ports i costes -Àrees temàtiques de la UPC::Desenvolupament humà i sostenible::Medi ambient -Aquatic animals--Size -Animals aquàtics |
Rights:
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http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
Document type:
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Article - Published version Article |
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