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A Multivariate Hybrid Stochastic Differential Equation Model for Whole-Stand Dynamics

Author

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  • Petras Rupšys

    (Agriculture Academy, Vytautas Magnus University, 53361 Kaunas, Lithuania
    Department of Mathematics and Statistics, Vytautas Magnus University, 44404 Kaunas, Lithuania)

  • Martynas Narmontas

    (Agriculture Academy, Vytautas Magnus University, 53361 Kaunas, Lithuania)

  • Edmundas Petrauskas

    (Agriculture Academy, Vytautas Magnus University, 53361 Kaunas, Lithuania)

Abstract

The growth and yield modeling of a forest stand has progressed rapidly, starting from the generalized nonlinear regression models of uneven/even-aged stands, and continuing to stochastic differential equation (SDE) models. We focus on the adaptation of the SDEs for the modeling of forest stand dynamics, and relate the tree and stand size variables to the age dimension (time). Two different types of diffusion processes are incorporated into a hybrid model in which the shortcomings of each variable types can be overcome to some extent. This paper presents the hybrid multivariate SDE regarding stand basal area and volume models in a forest stand. We estimate the fixed- and mixed-effect parameters for the multivariate hybrid stochastic differential equation using a maximum likelihood procedure. The results are illustrated using a dataset of measurements from Mountain pine tree ( Pinus mugo Turra).

Suggested Citation

  • Petras Rupšys & Martynas Narmontas & Edmundas Petrauskas, 2020. "A Multivariate Hybrid Stochastic Differential Equation Model for Whole-Stand Dynamics," Mathematics, MDPI, vol. 8(12), pages 1-22, December.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2230-:d:463045
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    References listed on IDEAS

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    1. Patricia Román-Román & Juan José Serrano-Pérez & Francisco Torres-Ruiz, 2019. "A Note on Estimation of Multi-Sigmoidal Gompertz Functions with Random Noise," Mathematics, MDPI, vol. 7(6), pages 1-18, June.
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    Cited by:

    1. Antonio Di Crescenzo & Paola Paraggio & Patricia Román-Román & Francisco Torres-Ruiz, 2023. "Statistical analysis and first-passage-time applications of a lognormal diffusion process with multi-sigmoidal logistic mean," Statistical Papers, Springer, vol. 64(5), pages 1391-1438, October.

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