Institut Mauritanien de Recherche Océanographique et des Pêches

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Claude Mante1 ; Saikou Oumar Kide2

1. Aix-Marseille Université, Université du Sud Toulon-Var, CNRS/INSU, IRD, MIO, UM 110, F13288 Marseille Cedex 09, France ; 2. Institut Mauritanien de Recherches Océanographiques et des Pêches, Laboratoire de Biologie et Ecologie des Organismes Aquatiques- BP 22 Nouadhibou Mauritania,

### Abstract

While the negative binomial distribution is widely used to model catches of animals, it is noteworthy that the parametric approach is ill-suited from an exploratory point of view. Indeed, the \visual » distance between parameters of several distributions is misleading, since on the one hand it depends on the chosen parametrization and on the other hand these parameters are not commensurable (i.e. they measure quite different characteristics). Consequently, we settle the topic of comparing abundance distributions in a well-suited framework: the Riemannian manifold NB(DR) of negative binomial distributions, equipped with the Fisher-Rao metrics. It is then possible to compute an intrinsic distance between species. We focus on computational issues encountered in computing this distance between marine species.

Lire ce document : https://hal.archives-ouvertes.fr/hal-01357264/