scholarly journals Evaluation of the double normal distribution for tree diameter distribution modeling

Silva Fennica ◽  
2013 ◽  
Vol 47 (2) ◽  
Author(s):  
Michał Zasada
Keyword(s):  
Normal Distribution ◽  
Diameter Distribution ◽  
Tree Diameter ◽  
Distribution Modeling ◽  
Tree Diameter Distribution

scholarly journals Terrestrial Laser Scanning for Forest Inventories—Tree Diameter Distribution and Scanner Location Impact on Occlusion

Forests ◽  
2017 ◽  
Vol 8 (6) ◽  
pp. 184 ◽  
Author(s):  
Meinrad Abegg ◽  
Daniel Kükenbrink ◽  
Jürgen Zell ◽  
Michael Schaepman ◽  
Felix Morsdorf
Keyword(s):  
Laser Scanning ◽  
Terrestrial Laser Scanning ◽  
Diameter Distribution ◽  
Tree Diameter ◽  
Forest Inventories ◽  
Tree Diameter Distribution

Tree diameter distribution modelling: introducing the logit–logistic distribution

2005 ◽  
Vol 35 (6) ◽  
pp. 1305-1313 ◽  
Author(s):  
Mingliang Wang ◽  
Keith Rennolls
Keyword(s):  
Normal Distribution ◽  
Weibull Model ◽  
Diameter Distribution ◽  
Logistic Distribution ◽  
Parameter Distribution ◽  
Forest Modelling ◽  
Logit Transformation ◽  
Distribution Shape ◽  
Tree Diameter Distribution

Johnson's SB distribution is a four-parameter distribution that is transformed into a normal distribution by a logit transformation. By replacing the normal distribution of Johnson's SB with the logistic distribution, we obtain a new distributional model that approximates SB. It is analytically tractable, and we name it the "logit–logistic" (LL) distribution. A generalized four-parameter Weibull model and the Burr XII model are also introduced for comparison purposes. Using the distribution "shape plane" (with axes skew2 and kurtosis) we compare the "coverage" properties of the LL, the generalized Weibull, and the Burr XII with Johnson's SB, the beta, and the three-parameter Weibull, the main distributions used in forest modelling. The LL is found to have the largest range of shapes. An empirical case study of the distributional models is conducted on 107 sample plots of Chinese fir. The LL performs best among the four-parameter models.

QUANTIFYING TREE DIAMETER DISTRIBUTIONS WITH ONE-DIMENSIONAL DIFFUSION PROCESSES

2010 ◽  
Vol 18 (01) ◽  
pp. 205-221 ◽  
Author(s):  
PETRAS RUPŠYS ◽  
EDMUNDAS PETRAUSKAS
Keyword(s):  
Probability Density ◽  
Goodness Of Fit ◽  
Diffusion Processes ◽  
Growth Models ◽  
Transition Probability ◽  
Diameter Distribution ◽  
Discrete Observations ◽  
Data Set ◽  
Tree Diameter ◽  
Tree Diameter Distribution

This study presents diffusion processes methodology on tree diameter distribution problem. We use stochastic differential equation methodology to derive a univariate age-dependent probability density function of a tree diameter distribution. The purpose of this paper is to investigate the relationship between the stochastic linear and logistic shape diameter growth models and diameter distribution laws. We establish the probabilistic characteristics of stochastic growth models, such as the univariate transition probability density of tree diameter, the mean and variance of tree diameter. We carry out comparison of proposed continuous time stochastic models on the basis of Hong-Li, Gini, Shapiro-Wilk goodness-of-fit statistics and normal probability plot. Parameter estimations are based on discrete observations over age of trees. To model the tree diameter distribution, as an illustrative experience, a real data set from repeated measurements on a permanent sample plot of pine (Pinus sylvestris) stand in the Kazlu Ruda district at Lithuania is used. The results are implemented in the symbolic computational language MAPLE.

scholarly journals Why size matters: the interactive influences of tree diameter distribution and sap flow parameters on upscaled transpiration

2017 ◽  
Vol 38 (2) ◽  
pp. 263-275 ◽  
Author(s):  
Z Carter Berry ◽  
Nathaniel Looker ◽  
Friso Holwerda ◽  
León Rodrigo Gómez Aguilar ◽  
Perla Ortiz Colin ◽  
...  
Keyword(s):  
Sap Flow ◽  
Diameter Distribution ◽  
Tree Diameter ◽  
Flow Parameters ◽  
Tree Diameter Distribution
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