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

Petras Rupšys, Martynas Narmontas and Edmundas Petrauskas
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Petras Rupšys: Agriculture Academy, Vytautas Magnus University, 53361 Kaunas, Lithuania
Martynas Narmontas: Agriculture Academy, Vytautas Magnus University, 53361 Kaunas, Lithuania
Edmundas Petrauskas: Agriculture Academy, Vytautas Magnus University, 53361 Kaunas, Lithuania

Mathematics, 2020, vol. 8, issue 12, 1-22

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).

Keywords: stochastic differential equation; probability density function; stand basal area; stand volume; quantiles (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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