Modelling diameter class distribution with a second-order matrix model

Picard Nicolas, Bar-Hen Avner, Guédon Yann. 2003. Modelling diameter class distribution with a second-order matrix model. Forest Ecology and Management, 180 (1-3) : pp. 389-400.

Journal article ; Article de revue à facteur d'impact
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Abstract : Matrix models of forest dynamics rely on four hypotheses: independence hypothesis, Markov's hypothesis, Usher's hypothesis, and temporal homogeneity hypothesis. We investigate the consequences of relaxing Markov's hypothesis, allowing the state of the tree at time t to depend on its states at time t - 1 and t - 2. The methodology for building and testing the relevance of second-order matrix model is thus proposed. The derivation of second-order transition probabilities turns to be sensitive to the width of the diameter classes. A strategy for choosing diameter classes is proposed. A second-order matrix model is then built for a tropical rain-forest in French Guiana. A different behaviour is detected between small (dbh <=30 cm) and large trees, the smaller trees being more sensitive to their past history: small trees that have well grown have a tendency to grow well again, and small trees that have not grown tend to have a higher probability to die. The widths of the diameter classes that are selected are much less than the widths usually retained, that favour first-order selection. (Résumé d'auteur)

Mots-clés Agrovoc : Diamètre, Croissance, Modèle mathématique, Dynamique des populations, Forêt tropicale humide

Classification Agris : U10 - Computer science, mathematics and statistics
K10 - Forestry production

Auteurs et affiliations

  • Bar-Hen Avner, Université Paul Cézanne (FRA)
  • Guédon Yann, CIRAD-AMIS-AMAP (FRA)

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Source : Cirad - Agritrop (

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