Stochastic Mixed-Effects Parameters Bertalanffy Process, with Applications to Tree Crown Width Modeling
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-23
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A stochastic modeling approach based on the Bertalanffy law gained interest due to its ability to produce more accurate results than the deterministic approaches.
We examine tree crown width dynamic with the Bertalanffy type stochastic differential equation (SDE) and mixed-effects parameters.
In this study, we demonstrate how this simple model can be used to calculate predictions of crown width.
We propose a parameter estimation method and computational guidelines.
The primary goal of the study was to estimate the parameters by considering discrete sampling of the diameter at breast height and crown width and by using maximum likelihood procedure.
Performance statistics for the crown width equation include statistical indexes and analysis of residuals.
We use data provided by the Lithuanian National Forest Inventory from Scots pine trees to illustrate issues of our modeling technique.
Comparison of the predicted crown width values of mixed-effects parameters model with those obtained using fixed-effects parameters model demonstrates the predictive power of the stochastic differential equations model with mixed-effects parameters.
All results were implemented in a symbolic algebra system MAPLE.
American Psychological Association (APA)
Rupšys, Petras. 2015. Stochastic Mixed-Effects Parameters Bertalanffy Process, with Applications to Tree Crown Width Modeling. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073649
Modern Language Association (MLA)
Rupšys, Petras. Stochastic Mixed-Effects Parameters Bertalanffy Process, with Applications to Tree Crown Width Modeling. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1073649
American Medical Association (AMA)
Rupšys, Petras. Stochastic Mixed-Effects Parameters Bertalanffy Process, with Applications to Tree Crown Width Modeling. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073649
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073649