Please use this identifier to cite or link to this item:https://hdl.handle.net/20.500.12259/103361
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: Matematika / Mathematics (N001);Miškotyra / Forestry (A004)
Author(s): Narmontas, Martynas;Rupšys, Petras;Petrauskas, Edmundas
Title: Models for tree taper form: the gompertz and vasicek diffusion processes framework
Is part of: Symmetry. Basel: MDPI, 2020, vol. 12, iss. 1
Extent: p. 1-17
Date: 2020
Note: Article no. 80
Keywords: Asymmetric Gompertz process;Symmetric Vasicek process;Tree stem taper;Mountain pine
Abstract: In this work, we employ stochastic differential equations (SDEs) to model tree stemtaper. SDE stem taper models have some theoretical advantages over the commonly employedregression-based stem taper modeling techniques, as SDE models have both simple analytic formsand a high level of accuracy. We perform fixed- and mixed-effect parameters estimation for the stemtaper models by developing an approximated maximum likelihood procedure and using a data set oflongitudinal measurements from 319 mountain pine trees. The symmetric Vasicek- and asymmetricGompertz-type diffusion processes used adequately describe stem taper evolution. The proposedSDE stem taper models are compared to four regression stem taper equations and four volumeequations. Overall, the best goodness-of-fit statistics are produced by the mixed-effect parametersSDEs stem taper models. All results are obtained in the Maple computer algebra system
Internet: http://dx.doi.org/10.3390/sym12010080
Affiliation(s): Miškų ir ekologijos fakultetas
Proj. "Intensyvios ūk.veiklos padarinių"
Vytauto Didžiojo universitetas
Žemės ūkio akademija
Appears in Collections:Universiteto mokslo publikacijos / University Research Publications

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