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Type of publication: Tezės kituose recenzuojamuose leidiniuose / Theses in other peer-reviewed publications (T1e)
Field of Science: Miškotyra / Forestry (A004)
Author(s): Rupšys, Petras;Petrauskas, Edmundas
Title: A Mixed Effects Height-Diameter Model with the Vasicek Type Stochastic Differential Equation
Is part of: The Nordic-Baltic Co-operation group for Forest Inventory EFINORD - SNS network meeting and scientific conference : August 21-23, 2013 Institute of Forest Management and Wood Science, Faculty of Forest and Ecology, Aleksandras Stulginskis University, Kaunas reg.,Lithuania : abstracts and brief profiles of participants. Akademija ( Kauno r.) : ASU leidybos centras, 2013
Extent: p. 36
Date: 2013
Abstract: Our aim is twofold: to introduce the mathematics of stochastic differential equations and to explain how such model can be used to aid our understanding of height-diameter process of an individual tree. In this study, we examine tree height dynamics with the Vasicek type stochastic differential equation and mixed-effects parameters. We demonstrate how this simple model can be used to calculate stochastic predictions of tree heights. We estimate the parameters by considering discrete sampling of the diameter and height and by using maximum likelihood procedure. Performance statistics for the height-diameter equation include statistical indexes, Shapiro-Wilk test, normal probability plot and analysis of residuals. We use the data provided by the National Forest Inventory (2006-2010) of Scots pine trees to validate our modeling technique. Results indicate that our model is able to capture the behavior of tree height quite accurately. All results were implemented in a symbolic algebra system MAPLE
Affiliation(s): Vytauto Didžiojo universitetas
Žemės ūkio akademija
Appears in Collections:Universiteto mokslo publikacijos / University Research Publications

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