A site model for Pyrenean oak (Quercus pyrenaica) stands using a dynamic algebraic difference equation
نویسندگان
چکیده
This paper presents a growth model for dominant-height and site-quality estimations for Pyrenean oak (Quercus pyrenaica Willd.) stands. The Bertalanffy–Richards function is used with the generalized algebraic difference approach to derive a dynamic site equation. This allows dominant-height and site-index estimations in a compatible way, using any desirable base age and allowing estimations to be time independent, which are important properties for site models. The database contains all possible height-growth intervals. The model is fitted considering residual autocorrelation, giving more efficient parameter estimates. Finally, the model behavior is analyzed by calculating error statistics from dominant-height and site-index estimations at different ages. Résumé : Cet article présente un modèle de croissance pour estimer la hauteur dominante et la qualité de station de peuplement de chêne tauzin (Quercus pyrenaica Willd.). On utilise la fonction de Bertalanffy–Richards avec la méthode des différences algébriques généralisée pour obtenir une équation dynamique du site. On obtient ainsi des estimations de la hauteur dominante et de l’indice de qualité de station de façon compatible, pour un âge de référence choisi et indépendamment de la période d’estimation qui sont d’importantes propriétés des modèles de croissance. La base de données est structurée, considérant tous les possibles intervalles de croissance. Le modèle est ajusté en tenant compte de l’autocorrélation des résidus, ce qui fournit des estimations plus efficientes des paramètres. Finalement, la précision du modèle est évaluée en calculant les erreurs statistiques provenant des estimations de la hauteur dominante et de l’indice de qualité de station à différents âges.
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