The Multi-scale Marked Area-interaction Point Process: A Model for the Spatial Pattern of Trees

Abstract : 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.
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Article dans une revue
Scandinavian Journal of Statistics, Wiley, 2008, 36 (1), pp.23-41
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https://hal.archives-ouvertes.fr/hal-00267635
Contributeur : Avner Bar-Hen <>
Soumis le : jeudi 27 mars 2008 - 20:54:26
Dernière modification le : mardi 11 octobre 2016 - 11:57:38

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  • HAL Id : hal-00267635, version 1

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Nicolas Picard, Avner Bar-Hen, Frédéric Mortier, Joel Chadoeuf. The Multi-scale Marked Area-interaction Point Process: A Model for the Spatial Pattern of Trees. Scandinavian Journal of Statistics, Wiley, 2008, 36 (1), pp.23-41. <hal-00267635>

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