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Mechanistic spatio-temporal point process models for marked point processes, with a view to forest stand data

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  • Jesper Møller
  • Mohammad Ghorbani
  • Ege Rubak

Abstract

type="main" xml:lang="en"> We show how a spatial point process, where to each point there is associated a random quantitative mark, can be identified with a spatio-temporal point process specified by a conditional intensity function. For instance, the points can be tree locations, the marks can express the size of trees, and the conditional intensity function can describe the distribution of a tree (i.e., its location and size) conditionally on the larger trees. This enable us to construct parametric statistical models which are easily interpretable and where maximum-likelihood-based inference is tractable.

Suggested Citation

  • Jesper Møller & Mohammad Ghorbani & Ege Rubak, 2016. "Mechanistic spatio-temporal point process models for marked point processes, with a view to forest stand data," Biometrics, The International Biometric Society, vol. 72(3), pages 687-696, September.
    • Handle: RePEc:bla:biomet:v:72:y:2016:i:3:p:687-696
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    Cited by:

    1. Walguen Oscar & Jean Vaillant, 2021. "Cox Processes Associated with Spatial Copula Observed through Stratified Sampling," Mathematics, MDPI, vol. 9(5), pages 1-13, March.
    2. Mohammad Ghorbani & Ottmar Cronie & Jorge Mateu & Jun Yu, 2021. "Functional marked point processes: a natural structure to unify spatio-temporal frameworks and to analyse dependent functional data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(3), pages 529-568, September.
    3. Adil Yazigi & Antti Penttinen & Anna-Kaisa Ylitalo & Matti Maltamo & Petteri Packalen & Lauri Mehtätalo, 2022. "Modeling Forest Tree Data Using Sequential Spatial Point Processes," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 27(1), pages 88-108, March.

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