Modelling the spatial structure of forest stands by multivariate point processes with hierarchical interactions |
| |
| Authors: | Pavel Grabarnik Aila Särkkä |
| |
| Affiliation: | 1. Institute of Physico-Chemical and Biological Problems in Soil Science, RAS, Pushchino, Moscow Region 142290, Russia;2. Mathematical Sciences, Chalmers University of Technology, 412 96 Gothenburg, Sweden;3. Mathematical Sciences, University of Gothenburg, 412 96 Gothenburg, Sweden;1. Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, CY 1678 Nicosia, Cyprus;2. Department of Mathematics, Ruhr University Bochum, 44780 Bochum, Germany;1. Instituto de Recursos Naturales y Agrobiología de Sevilla (IRNAS-CSIC) Av. Reina Mercedes 10, E-41080 Sevilla, Spain;2. Estación Bio?ogica de Doñana (EBD-CSIC) Calle A?erico Vespucio 26, E-41092 Sevillea, Spain;3. Department of Biology – Ecology and Evolution, University of Fribourg Chemin du Mu?ee 10, CH-1700 Fribourg, Switzerland;4. Department of Civil and Environmental Engineering, MIT, 77 Massachusetts Av., 02139 Cambridge, MA, USA;1. Graduate School of Life and Environmental Sciences, University of Tsukuba, 1-1-1 Tennohdai, Tsukuba 305-8577, Ibaraki, Japan;2. Graduate School of Engineering, Shizuoka University, 3-5-1 Johoku Naka-ku, Hamamatsu 432-8561, Japan;3. Institute of Low Temperature Science, Hokkaido University, Sapporo 060-0819, Japan;1. Department of Biomedical Engineering and Computational Science, Aalto University School of Science, P.O. Box 12200, FI-00076 AALTO, Finland;2. Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, S-41296 Gothenburg, Sweden |
| |
| Abstract: | A stochastic model is applied to describe the spatial structure of a forest stand. We aim at quantifying the strength of the competition process between the trees in terms of interaction within and between different size classes of trees using multivariate Gibbs point processes with hierarchical interactions introduced in [Högmander, H., Särkkä, A., 1999. Multitype spatial point patterns with hierarchical interactions. Biometrics 55, 1051–1058]. The new model overcomes the main limitation of the traditional use of the Gibbs models allowing to describe systems with non-symmetric interactions between different objects. When analyzing interactions between neighbouring trees it is natural to assume that the size of a tree determines its hierarchical level: the largest trees are not influenced by any other trees than the trees in the same size class, while trees in the other size classes are influenced by the other trees in the same class as well as by all larger trees. In this paper, we describe a wide range of Gibbs models with both hierarchical and non-hierarchical interactions as well as a simulation algorithm and a parameter estimation procedure for the hierarchical models. We apply the hierarchical interaction model to the analysis of forest data consisting of locations and diameters of tree stems. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
