Comparing Johnson’s SBB, Weibull and Logit-Logistic bivariate distributions for modeling tree diameters and heights using copulas
| Autor: | Juan Gabriel Álvarez-González, Alberto Rojo-Alboreca, Klaus von Gadow, Juan Daniel García-Villabrille, Jose Javier Gorgoso-Varela |
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| Přispěvatelé: | Universidade de Santiago de Compostela. Departamento de Enxeñaría Agroforestal |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Multivariate statistics
010504 meteorology & atmospheric sciences Wilcoxon signed-rank test Logit Copula (linguistics) Soil Science Plackett copula Bivariate analysis 01 natural sciences Eucalyptus globulus Joint probability distribution Statistics normal copula lcsh:Forestry Ecology Evolution Behavior and Systematics 0105 earth and related environmental sciences Weibull distribution Mathematics 040101 forestry Forestry 04 agricultural and veterinary sciences Investigación::31 Ciencias agrarias [Materias] Normal copula 0401 agriculture forestry and fisheries lcsh:SD1-669.5 Marginal distribution |
| Zdroj: | Forest Systems, Vol 25, Iss 1 (2016) Forest Systems; Vol 25, No 1 (2016); eSC07 Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela instname Forest Systems Instituto Nacional de Tecnología Agraria y Alimentaria (INIA) |
| ISSN: | 2171-9845 |
| Popis: | Aim of study: In this study we compare the accuracy of three bivariate distributions: Johnson’s SBB, Weibull-2P and LL-2P functions for characterizing the joint distribution of tree diameters and heights. Area of study: North-West of Spain. Material and methods: Diameter and height measurements of 128 plots of pure and even-aged Tasmanian blue gum (Eucalyptus globulus Labill.) stands located in the North-west of Spain were considered in the present study. The SBB bivariate distribution was obtained from SB marginal distributions using a Normal Copula based on a four-parameter logistic transformation. The Plackett Copula was used to obtain the bivariate models from the Weibull and Logit-logistic univariate marginal distributions. The negative logarithm of the maximum likelihood function was used to compare the results and the Wilcoxon signed-rank test was used to compare the related samples of these logarithms calculated for each sample plot and each distribution. Main results: The best results were obtained by using the Plackett copula and the best marginal distribution was the Logit-logistic. Research highlights: The copulas used in this study have shown a good performance for modeling the joint distribution of tree diameters and heights. They could be easily extended for modelling multivariate distributions involving other tree variables, such as tree volume or biomass Ministerio de Ciencia e Innovación (proyecto AGL2010-22308-C02-01), Unión Europea programa FEDER (2011-2013), y Xunta de Galicia |
| Databáze: | OpenAIRE |
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