Please use this identifier to cite or link to this item:https://hdl.handle.net/20.500.12259/86316
Type of publication: Knygos dalis / Part of book (Y)
Field of Science: Matematika / Mathematics (N001)
Author(s): Rupšys, Petras
Title: The Further Development of Stem Taper and Volume Models Defined by Stochastic Differential Equations
Is part of: IAENG Transactions on Engineering Technologies : Special Volume of the World Congress on Engineering 2012. Dordrecht; New York : Springer, 2013
Extent: p. 121-133
Date: 2013
Series/Report no.: (Lecture Notes in Electrical Engineering 229)
Keywords: Diameter;Geometric Brownian motion;Gompertz process;Ornstein-Uhlenbeck process;Taper;Transition probability density;Stochastic differential equation
ISBN: 9789400761896
Abstract: Stem taper process measured repeatedly among a series of individual trees is standardly analyzed by fixed and mixed regression models. This stem taper process can be adequately modeled by parametric stochastic differential equations (SDEs). We focus on the segmented stem taper model defined by the Gompertz, geometric Brownian motion and Ornstein-Uhlenbeck stochastic processes. This class of models enables the representation of randomness in the taper dynamics. The parameter estimators are evaluated by maximum likelihood procedure. The SDEs stem taper models were fitted to a data set of Scots pine trees collected across the entire Lithuanian territory. Comparison of the predicted stem taper and stem volume with those obtained using regression based models showed a predictive power to the SDEs models
Internet: https://hdl.handle.net/20.500.12259/86316
Affiliation(s): Vytauto Didžiojo universitetas
Žemės ūkio akademija
Appears in Collections:Universiteto mokslo publikacijos / University Research Publications

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