Please use this identifier to cite or link to this item:https://hdl.handle.net/20.500.12259/84528
Type of publication: Straipsnis Clarivate Analytics Web of Science ar/ir Scopus / Article in Clarivate Analytics Web of Science or / and Scopus (S1)
Field of Science: Miškotyra / Forestry (A004)
Author(s): Rupšys, Petras;Petrauskas, Edmundas
Title: Analysis of height curves by stochastic differential equations
Is part of: International Journal of Biomathematics. Singapore: World Scientific Publishing., 2012, Vol. 5, No. 5
Extent: p. [1-15]
Date: 2012
Keywords: Stochastic differential equation;Transition density;Copula
Abstract: Height–diameter models are classically analyzed by fixed or mixed linear and non-linear regression models. In order to possess the among-plot variability, we propose the methodology of stochastic differential equations that is derived from the standard deterministic ordinary differential equation by adding the process variability to the growth dynamic. Age–diameter varying height model was deduced using a two-dimensional stochastic Gompertz shape process. Another focus of the article is the investigation of normal copula procedure, when the tree diameter and height are governed by univariate stochastic Gompertz shape processes. The advantage of the stochastic differential equation methodology is that it analyzes a residual variability, corresponding to measurements error, and an individual variability to represent heterogeneity between subjects more complex than commonly used fixed effect models. An analysis of 900 Scots pine (Pinus sylvestris) trees provided the data for this study
Internet: https://doi.org/10.1142/S1793524511001878
Affiliation(s): Vytauto Didžiojo universitetas
Žemės ūkio akademija
Appears in Collections:Universiteto mokslo publikacijos / University Research Publications

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