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Incorporating the mechanisms underlying inter-tree competition into a random point process model to improve spatial tree pattern analysis in forestry

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  • Genet, Astrid
  • Grabarnik, Pavel
  • Sekretenko, Olga
  • Pothier, David

Abstract

The spatial structure of complex forest stands results from competitive interactions among trees which is one of the most important ecological processes influencing forest development. The aim of the study is to incorporate in a new class of random point process models a coherent representation of the competition process driving forest stand dynamics to establish a direct link between pattern and ecological processes. The resulting area-saturation model was defined by a set statistic characterised by overlapping discs representing tree interactions. Unlike previous approaches, this new spatial model has the advantage of allowing a straightforward interpretation of its parameters in terms of inter-tree competition. A 60m×60m plot of even-aged Scots pines was used to illustrate the potential of this approach in modelling the spatial structure of a plant community. The social status of each tree was taken into account, leading to a multivariate point pattern exhibiting various spatial properties (regularity, clustering and randomness) at different scales. We considered a hierarchical structure of interactions to account for the fact that competition for light is size-asymmetric. According to the analysis, the generalised area-saturation model has the required flexibility to capture complex spatial tree patterns.

Suggested Citation

  • Genet, Astrid & Grabarnik, Pavel & Sekretenko, Olga & Pothier, David, 2014. "Incorporating the mechanisms underlying inter-tree competition into a random point process model to improve spatial tree pattern analysis in forestry," Ecological Modelling, Elsevier, vol. 288(C), pages 143-154.
    • Handle: RePEc:eee:ecomod:v:288:y:2014:i:c:p:143-154
    DOI: 10.1016/j.ecolmodel.2014.06.002
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    References listed on IDEAS

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    1. Nicolas Picard & Avner Bar‐Hen & Frédéric Mortier & Joël Chadœuf, 2009. "The Multi‐scale Marked Area‐interaction Point Process: A Model for the Spatial Pattern of Trees," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 36(1), pages 23-41, March.
    2. Grabarnik, Pavel & Särkkä, Aila, 2009. "Modelling the spatial structure of forest stands by multivariate point processes with hierarchical interactions," Ecological Modelling, Elsevier, vol. 220(9), pages 1232-1240.
    3. Grabarnik, Pavel & Myllymäki, Mari & Stoyan, Dietrich, 2011. "Correct testing of mark independence for marked point patterns," Ecological Modelling, Elsevier, vol. 222(23), pages 3888-3894.
    4. Sarkka, Aila & Renshaw, Eric, 2006. "The analysis of marked point patterns evolving through space and time," Computational Statistics & Data Analysis, Elsevier, vol. 51(3), pages 1698-1718, December.
    5. A. Baddeley & M. Lieshout, 1995. "Area-interaction point processes," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 47(4), pages 601-619, December.
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    1. Picard, Nicolas, 2021. "The role of spatial competitive interactions between trees in shaping forest patterns," Theoretical Population Biology, Elsevier, vol. 142(C), pages 36-45.
    2. Lister, Andrew J. & Leites, Laura P., 2018. "Modeling and simulation of tree spatial patterns in an oak-hickory forest with a modular, hierarchical spatial point process framework," Ecological Modelling, Elsevier, vol. 378(C), pages 37-45.

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