Use this url to cite publication: https://hdl.handle.net/20.500.12259/86279
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Stochastic differential equation approach of height-diameter equations of individual trees
Type of publication
Straipsnis konferencijos medžiagoje kitoje duomenų bazėje / Article in conference proceedings in other databases (P1c)
Title
Stochastic differential equation approach of height-diameter equations of individual trees
Is part of
Applied information and communication technologies [elektroninis išteklius]: proceedings of the 6-th international scientific conference Jelgava Latvia, april 25-26, 2013. Jelgava, 2013
Date Issued
Date Issued |
---|
2013 |
Publisher
Jelgava, 2013
Is Referenced by
Extent
p. 163-170
Field of Science
Abstract
In this paper we use a stochastic differential equation to describe the dynamic evolution of the height of an individual tree. The first model is defined by Gompertz shape stochastic differential equation. The second model is defined by Gompertz stochastic differential equation with a threshold parameter. This model can be considered as an extension of the three parameter stochastic Gompertz model with the addition of a fourth parameter. The parameters are estimated by considering discrete sampling of the diameter and height and by using maximum likelihood procedure. Two developed models were employed to compare predicted values with observed values of a height. Performance statistics for developed height-diameter equations included statistical indexes, Shapiro-Wilk test and normal probability plot. We used the data of tropical Atlantic moist forest trees in southeastern Brazil (Scaranello et al., 2012) to validate our modelling technique. Results indicated that our model is able to capture the behaviour of tree height quite accurately. All results were implemented in a symbolic algebra system MAPLE.
Type of document
type::text::journal::journal article::research article
Language
Anglų / English (en)
Coverage Spatial
Latvija / Latvia (LV)