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Type of publication: Straipsnis konferencijos medžiagoje Clarivate Analytics Web of Science ar/ir Scopus / Article in Clarivate Analytics Web of Science or Scopus DB conference proceedings (P1a)
Field of Science: Matematika / Mathematics (N001)
Author(s): Rupšys, Petras
Title: Height-diameter curve estimation and prediction with vasicek model
Is part of: Geoconference on water resources, forest, marine and ocean ecosystems : 13th international multidisciplinary scientific geoconference, SGEM 2013, Albena, Bulgaria , Jun 16-22, 2013. Sofia: STEF92 technology Ltd
Extent: p. 779-786
Date: 2013
Series/Report no.: (International Multidisciplinary Scientific GeoConference-SGEM. 1314-2704)
Keywords: Diameter;Heigh;Mean;Vasicek;Transition density function
ISBN: 9786197105025
Abstract: In this paper we use a stochastic differential equation to describe the evolution of the height of an individual tree. Height-diameter modelling is most often performed using non-linear regression models based on ordinary differential equations. In this study, new model of tree height dynamics are examined with the Vasicek type stochastic differential equation and fixed-effects parameters. The parameters are estimated by considering discrete sampling of the diameter and height and by using maximum likelihood procedure. New developed model was employed to compare predicted values with observed values of a height. Performance statistics for the height-diameter equations included statistical indexes, Shapiro-Wilk test and normal probability plot. We use the data of tropical Atlantic moist forest trees in south eastern Brazil to validate our modelling technique. Results indicate that our model is able to capture the behaviour 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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