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Analyses of length and age distributions using continuation-ratio logits

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Abstract:

Sampling of length and age distributions of catches is important for the assessment of commercially fished stocks. This paper presents a new method for statistical analyses and comparisons of length and age distributions based on generalised linear models of continuation-ratio logits. The method allows statistical testing of the effects of both continuous and discrete variables. Further, by utilising the smoothness of length and age distributions as a function of length, the method provides more accurate estimates of these distributions than traditional methods. The observations are assumed to be multinomially distributed, but cases in which the variance exceeds that of this distribution may also be analysed. The implementation of the method in existing statistical analysis software is straightforward and is demonstrated using length and age distributions of the lesser sandeel, Ammodytes marinus Raitt.

L'échantillonnage des distributions de fréquence des longueurs et des âges dans les captures est une étape importante dans l'évaluation des stocks des pêches commerciales. On trouvera ici une nouvelle méthode pour l'analyse statistique et la comparaison des distributions de fréquence des longueurs et des âges basée sur des modèles linéaires généralisés des logits cumulatifs supérieurs (continuation-ratio logits). La méthode permet d'éprouver les effets de variables tant continues que discontinues. De plus, en utilisant le lissage des distributions de fréquence des longueurs et des âges en fonction de la longueur, elle génère des estimations plus précises de ces distributions que ne le font les méthodes traditionnelles. On assume au départ que les distributions sont de type multinomial, mais on peut aussi analyser des cas où la variance dépasse celle de cette distribution. L'insertion de cette méthode dans les logiciels courants d'analyse statistique se fait sans problème, ce qui est illustré par l'utilisation des distributions de fréquence des longueurs et des âges du Lançon nordique, Ammodytes marinus Raitt.[Traduit par la Rédaction]

Document Type: Research Article

Publication date: June 1, 2001

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  • Published continuously since 1901 (under various titles), this monthly journal is the primary publishing vehicle for the multidisciplinary field of aquatic sciences. It publishes perspectives (syntheses, critiques, and re-evaluations), discussions (comments and replies), articles, and rapid communications, relating to current research on cells, organisms, populations, ecosystems, or processes that affect aquatic systems. The journal seeks to amplify, modify, question, or redirect accumulated knowledge in the field of fisheries and aquatic science. Occasional supplements are dedicated to single topics or to proceedings of international symposia.
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