Vytautas Magnus University Research Management System (VDU CRIS)
 
Use this url to cite publication: https://hdl.handle.net/20.500.12259/86446

A mixed effects Height-Diameter model with the vasicek type stochastic differential equation

Type of publication
Tezės kitame recenzuojamame leidinyje / Theses in other peer-reviewed publication (T1e)
Author(s)
AuthorAffiliation
Rupšys, Petras 
Žemės ūkio akademija / Agriculture Academy 
LT
Petrauskas, Edmundas 
Žemės ūkio akademija / Agriculture Academy 
LT
Title
A mixed effects Height-Diameter model with the vasicek type stochastic differential equation
[en]
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
Date Issued
DateStart PageEnd Page
2013
36
36
Publisher
Akademija ( Kauno r.) : ASU leidybos centras
URI
URI
https://hdl.handle.net/20.500.12259/86446
Field of Science
Abstract (en)

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.

Type of document
type::text::conference output::conference proceedings::conference paper
Language
Anglų / English (en)
Coverage Spatial
Lietuva / Lithuania (LT)
Other Identifier(s)
VDU02-000048025