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Characterization of stage-classified biological processes using multinomial models: a case study of anchovy (Engraulis encrasicolus) eggs in the Bay of Biscay

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This paper describes how multinomial models can be used to study developmental rates of biological processes and how these are affected by different factors such as temperature or parental effects. First, the most common multinomial models for ordinal categorical data (namely, proportional odds, continuation-ratio, and extended continuation-ratio models) are described within the particular framework of developmental rates for discrete and ordered stage classified biological processes. Then, the extraction from the fitted models of a series of biologically meaningful parameters is proposed. In particular, maximum probable age and several alternative definitions for stage duration are presented and pros and cons of each of them are discussed. As an example, the methodology is applied to analyze the temperature dependent development of anchovy (Engraulis encrasicolus) eggs in the Bay of Biscay.

Nous décrivons comment les modèles multinomiaux peuvent servir à étudier les taux de développement des processus biologiques et comment ces derniers peuvent être affectés par divers facteurs, tels que la température et les effets parentaux. Nous décrivons d'abord les modèles multinomiaux le plus couramment utilisés pour les données catégorielles ordinales (c'est-à-dire, les modèles de cotes proportionnelles, de rapport de continuité et de rapport de continuité étendu) dans le cadre particulier des taux de développement des processus biologiques discrets et ordonnés par classes de stades. Nous proposons ensuite l'extraction d'une série de paramètres d'intérêt biologique de ces modèles ajustés. Nous présentons, en particulier, l'âge maximal probable et plusieurs définitions de rechange de la durée des stades et nous discutons des avantages et des désavantages de chacun des paramètres. Comme illustration, nous utilisons notre méthodologie pour analyser le développement des oeufs des anchois (Engraulis encrasicolus) du golfe de Gascogne qui est sous le contrôle de la température.[Traduit par la Rédaction]

Document Type: Research Article

Publication date: March 1, 2007

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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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