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Updated: Jun 22, 2026

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
Published on: July 3, 2020
Modelling tree roots in mixed forest stands by inhomogeneous marked Gibbs point processes
Stefanie Eckel1, Frank Fleischer, Pavel Grabarnik
1Ulm University, Institute of Stochastics, Helmholtzstr. 18, 89069 Ulm, Germany. stefanie.eckel@uni-ulm.de
Abstract:
The aim of the paper is to apply point processes to root data modelling. We propose a new approach to parametric inference when the data are inhomogeneous replicated marked point patterns. We generalize Geyer's saturation point process to a model, which combines inhomogeneity, marks and interaction between the marked points. Furthermore, the inhomogeneity influences the definition of the neighbourhood of points. Using the maximum pseudolikelihood method, this model is then fitted to root data from mixed stands of Norway spruce (Picea abies (L.) Karst.) and European beech (Fagus sylvatica L.) to quantify the degree of root aggregation in such mixed stands. According to the analysis there is no evidence that the two root systems are not independent.
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