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Quintana Pou, Xavier
Egozcue, Juan JosÃ© MartÃnezAbella, Omar LÃ³pezFlores, Rocio GascÃ³n Garcia, StÃ©phanie Brucet BalmaÃ±a, Sandra Boix Masafret, Dani 

A method for the measurement of the size diversity based on the classical Shannonâ€“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 Shannonâ€“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 eevenness, 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,âˆž), for a given logarithmic mean ( math formula) and a logarithmic standard deviation math formula, the distribution with the highest diversity is the LogNormal. The size eevenness ranges between 0 and 1 because of the division by the maximum exponential diversity. Size eevenness 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 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(CGL201123907) 

http://hdl.handle.net/2072/281122  
eng  
Association for the Sciences of Limnology and Oceanography (ASLO)  
AttributionNonCommercialNoDerivs 3.0 Spain  
http://creativecommons.org/licenses/byncnd/3.0/es/  
Mostreig (EstadÃstica)
Sampling (Statistics) EstimaciÃ³ de parÃ metres Parameter estimation Funcions de variables complexes Functions of complex variables 

Update: A nonparametric method for the measurement of size diversity, with emphasis on data standardization. The measurement of the size evenness  
info:eurepo/semantics/article  
Recercat 