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Description of Tree Distribution Patterns and Their Development Through Marked Gibbs Processes
Author(s) -
Degenhardt A.
Publication year - 1999
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/(sici)1521-4036(199907)41:4<457::aid-bimj457>3.0.co;2-z
Subject(s) - tree (set theory) , mathematics , point process , statistical physics , distribution (mathematics) , point (geometry) , parametric model , parametric statistics , statistics , combinatorics , geometry , mathematical analysis , physics
Tree distribution patterns in forest stands can be considered as marked point processes in the plane. Gibbs processes are a natural tool for modelling such point processes because the interaction between trees can be taken into account and described by pair potential functions. Consequently, tree distribution patterns can be characterized with few parameters and be compared quantitatively. By means of forest stand examples it is shown how these parametric models can be used for the analysis of tree distribution patterns at different time points.