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Tree diameter distribution modelling: introducing the logitlogistic distribution

Tree diameter distribution modelling: introducing the logitlogistic distribution

Wang, Mingliang and Rennolls, Keith (2005) Tree diameter distribution modelling: introducing the logitlogistic distribution. Canadian Journal of Forest Research, 35 (6). pp. 1305-1313. ISSN 0045-5067 (Print), 1208-6037 (Online) (doi:10.1139/x05-057)

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Abstract

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 "logitlogistic" (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 skew 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.

Item Type: Article
Additional Information: [1] Accepted: 16 February 2005. [2] First published: June 2005.
Uncontrolled Keywords: tree diameter, logitlogistic, LL, distribution, computer modlling, distributional model
Subjects: Q Science > QA Mathematics > QA76 Computer software
S Agriculture > SD Forestry
Pre-2014 Departments: School of Computing & Mathematical Sciences
School of Computing & Mathematical Sciences > Department of Computer Science
School of Computing & Mathematical Sciences > Statistics & Operational Research Group
Related URLs:
Last Modified: 14 Oct 2016 09:02
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
URI: http://gala.gre.ac.uk/id/eprint/874

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