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Bivariate distribution modeling with tree diameter and height data

Bivariate distribution modeling with tree diameter and height data

Wang, Mingliang and Rennolls, Keith (2007) Bivariate distribution modeling with tree diameter and height data. Forest Science, 53 (1). pp. 16-24. ISSN 0015-749X

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Abstract

The Logit-Logistic (LL), Johnson's SB, and the Beta (GBD) are flexible four-parameter probability distribution models in terms of the (skewness-kurtosis) region covered, and each has been used for modeling tree diameter distributions in forest stands. This article compares bivariate forms of these models in terms of their adequacy in representing empirical diameter-height distributions from 102 sample plots. Four bivariate models are compared: SBB, the natural, well-known, and much-used bivariate generalization of SB; the bivariate distributions with LL, SB, and Beta as marginals, constructed using Plackett's method (LL-2P, etc.). All models are fitted using maximum likelihood, and their goodness-of-fits are compared using minus log-likelihood (equivalent to Akaike's Information Criterion, the AIC). The performance ranking in this case study was SBB, LL-2P, GBD-2P, and SB-2P

Item Type: Article
Uncontrolled Keywords: Johnson's SB, logit-logistic, beta, Johnson's SBB, Plackett's method
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
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 09:03
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
URI: http://gala.gre.ac.uk/id/eprint/1086

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