The multi-scale marked area-interaction point process : a model for the spatial pattern of trees

Picard Nicolas, Bar-Hen Avner, Mortier Frédéric, Chadoeuf Joël. 2009. The multi-scale marked area-interaction point process : a model for the spatial pattern of trees. Scandinavian Journal of Statistics, 36 (1) : 23-41.

Quartile : Q2, Sujet : STATISTICS & PROBABILITY

Liste HCERES des revues (en SHS) : oui

Thème(s) HCERES des revues (en SHS) : Psychologie-éthologie-ergonomie

Résumé : The spatial pattern of trees in forests often combines different types of structure (regularity, clustering or randomness) at different scales. Taking species or size into account leads to marked patterns. The question addressed is to model such multi-scale marked patterns using a single process. Within the category of Markov processes, the area-interaction process has the advantage of being locally stable, whether it is attractive or repulsive. This process was originally defined as a one-scale non-marked process. We propose an extension as a multi-scale marked process. Three examples are presented to show the adequacy of this process to model tree patterns: 1. A pine pattern showing anisotropic regularity and clustering at different scales. 2. A bivariate (adult/juvenile) kimboto pattern in French Guiana, showing regularity for one type, clustering for the other and repulsion between the two. 3. A marked pattern in Gabon where the mark is tree diameter.

Mots-clés Agrovoc : forêt, arbre, distribution spatiale, modèle mathématique

Mots-clés géographiques Agrovoc : Gabon, Guyane française, France

Classification Agris : U10 - Informatique, mathématiques et statistiques
K10 - Production forestière

Champ stratégique Cirad : Axe 6 (2005-2013) - Agriculture, environnement, nature et sociétés

Auteurs et affiliations

• Picard Nicolas, CIRAD-ES-UPR Dynamique forestière (GAB)
• Bar-Hen Avner, Université René Descartes (FRA)
• Mortier Frédéric, CIRAD-BIOS-UPR Génétique forestière (FRA)
• Chadoeuf Joël, INRA (FRA)

Source : Cirad - Agritrop (https://agritrop.cirad.fr/547924/)

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