On the Construction of Growth Models via Symmetric Copulas and Stochastic Differential Equations by Petras Rupšys, Edmundas Petrauskas

Subjects: “…stochastic differential equation…”
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A Multivariate Hybrid Stochastic Differential Equation Model for Whole-Stand Dynamics by Petras Rupšys, Martynas Narmontas, Edmundas Petrauskas

Subjects: “…stochastic differential equation…”
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Construction of Reducible Stochastic Differential Equation Systems for Tree Height–Diameter Connections by Martynas Narmontas, Petras Rupšys, Edmundas Petrauskas

Subjects: “…stochastic differential equation…”
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Analysis of Longitudinal Forest Data on Individual-Tree and Whole-Stand Attributes Using a Stochastic Differential Equation Model by Petras Rupšys, Edmundas Petrauskas

Subjects: “…trivariate stochastic differential equation…”
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A Statistical Dependence Framework Based on a Multivariate Normal Copula Function and Stochastic Differential Equations for Multivariate Data in Forestry by Ričardas Krikštolaitis, Gintautas Mozgeris, Edmundas Petrauskas, Petras Rupšys

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A Framework for Analyzing Individual-Tree and Whole-Stand Growth by Fusing Multilevel Data: Stochastic Differential Equation and Copula Network by Petras Rupšys, Gintautas Mozgeris, Edmundas Petrauskas, Ričardas Krikštolaitis

“…In this study, to estimate five-dimensional dependencies between tree diameter at breast height, potentially available area, height, crown area and crown base height, we used a normal copula approach whereby the growths of individual variables are described using a stochastic differential equation with mixed-effect parameters. …”
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Stochastic Models to Qualify Stem Tapers by Edmundas Petrauskas, Petras Rupšys, Martynas Narmontas, Marius Aleinikovas, Lina Beniušienė, Benas Šilinskas

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Modeling Number of Trees per Hectare Dynamics for Uneven-Aged, Mixed-Species Stands Using the Copula Approach by Petras Rupšys, Edmundas Petrauskas

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Symmetric and Asymmetric Diffusions through Age-Varying Mixed-Species Stand Parameters by Petras Rupšys, Edmundas Petrauskas

“…We focus on the Voronoi diagram of potentially available areas to tree positions as the measure of the competition effect of individual trees and the tree diameter at breast height to relate their evolution through time. (2) Methods: We consider a bivariate hybrid mixed-effect parameters stochastic differential equation for the parameterization of the diameter and available polygon area at age to ensure a proper description of the link between them during the age (time) span of a forest stand. …”
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Models for Tree Taper Form: The Gompertz and Vasicek Diffusion Processes Framework by Martynas Narmontas, Petras Rupšys, Edmundas Petrauskas

“…In this work, we employ stochastic differential equations (SDEs) to model tree stem taper. …”
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