The Further Development of Stem Taper and Volume Models Defined by Stochastic Differential Equations

  • Petras Rupšys
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 229)


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.


Diameter Geometric Brownian motion Gompertz process Ornstein-Uhlenbeck process Taper Transition probability density Stochastic differential equation Volume 


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of Forest ManagementAleksandras Stulginskis UniversityKaunasLithuania

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