1. A generic model to estimate food consumption: linking von Bertalanffy's growth model with Beverton and Holt's and Ivlev's concepts of net conversion efficiency
- Author
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Temming, Axel and Herrmann, Jens P.
- Subjects
Bioenergetics -- Research ,Energy metabolism -- Research ,Codfish -- Food and nutrition ,Animal feeding behavior -- Models ,Earth sciences - Abstract
In this paper, a mathematical derivation is presented that links von Bertalanffy's growth model with the concept of net conversion efficiency of Beverton and Holt, aiming at the development of an equation that can calculate food consumption rates of wild populations from parameters of the von Bertalanffy growth equation and an estimate of the net food conversion efficiency of Beverton and Holt. The derivation is based on Pauly's version of the generalized von Bertalanffy equation, which allows the allometric exponent of the anabolism term to differ from 2/3, as in the standard von Bertalanffy equation. As a side product, a general model is formulated that describes the gross growth conversion efficiency ([K.sub.1] of Ivlev) as a function of weight of the organism. The new equations for the estimation of food consumption are applied in two case studies, North Sea cod (Gadus morhua) and whiting (Merlangius merlangus), for which a variety of consumption estimates is available from conventional gastric evacuation-based methods. The new method produces results that show a similar degree of variability as was observed in various applications of the gastric evacuation method. Nous presentons dans ce travail une derivation mathematique qui rattache le modele de croissance de von Bertalanffy au concept d'efficacite nette de conversion de Beverton et Holt; notre but est de developper une equation qui permette de calculer les taux de consommation de nourriture de populations sauvages a partir des parametres de l'equation de croissance de von Bertalanffy et d'obtenir des estimations de l'efficacite nette de conversion de la nourriture de Beverton et Holt. La derivation se base sur la version de Pauly de l'equation generalisee de von Bertalannfy qui permet a l'exposant d'allometrie du terme d'anabolisme d'etre different de 2/3, comme dans l'equation ordinaire de von Bertalanffy. Comme produit secondaire, nous formulons un modele general qui decrit l'efficacite de la conversion de croissance brute ([K.sub.1] d'Ivlev) comme fonction de la masse de l'organisme. Nous appliquons les nouvelles equations d'estimation de la consommation de nourriture a deux etudes de cas, ceux de la morue (Gadus morhua) et du merlan (Merlangius merlangus) de la mer du Nord, pour lesquels il existe de nombreuses estimations de la consommation faites a partir des methodes usuelles basees sur l'evacuation gastrique. La nouvelle methode fournit des resultats qui possedent un degre de variabilite semblable a ceux observes dans les diverses applications de la methode d'evacuation gastrique. [Traduit par la Redaction], Introduction The estimation of rates of food intake in aquatic organisms such as fish is not straightforward because of the impossibility of direct observations in most habitats. Consumption is therefore [...]
- Published
- 2009