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Characterization of diameter distribution data in near-natural forests using the Birnbaum–Saunders distribution

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The purpose of this study is to investigate the suitability of the Birnbaum–Saunders distribution to model diameter at breast height (DBH) distributions of near-natural complex structure silver fir (Abies alba Mill.)– European beech (Fagus sylvatica L.) forests. The investigations were carried out in Świętokrzyski National Park, situated in Central Poland. To estimate the parameters of the Birnbaum–Saunders distribution, three methods were used: the maximum likelihood method (MLE) and the mean–mean estimator, the modified moment method (MME), and the graphical method (GME). The empirical DBH distributions in near-natural fir–beech stands, which arose according to the model taking into account the overlapping of fir mortality and beech regeneration, were generally conformed to the Birnbaum–Saunders distribution. In such forests, the Birnbaum–Saunders distribution approximated the empirical DBH distributions more precisely than the Weibull and gamma distributions.

Le but de cette étude est d'analyser la pertinence de la distribution de Birnbaum–Saunders pour modéliser la distribution des diamètres à hauteur de poitrine (DHP) des forêts quasi naturelles, à structure complexe, composées de sapin (Abies alba Mill.) et de hêtre (Fagus sylvatica L.). Les analyses ont été menées dans le parc national de Świętokrzyski, situé dans le centre de la Pologne. Pour estimer les paramètres de la distribution de Birnbaum–Saunders, trois méthodes ont été utilisées: la méthode du maximum de vraisemblance avec l’estimateur de la moyenne des moyennes, la méthode du moment modifiée et la méthode graphique. Les distributions diamétrales empiriques des peuplements de sapin et de hêtre quasi naturels, qui provenaient du modèle qui tient compte de la superposition de la mortalité du sapin et de la régénération du hêtre, étaient en général conformes à la distribution de Birnbaum–Saunders. Dans ces forêts, la distribution de Birnbaum–Saunders était plus proche des distributions diamétrales empiriques que la distribution gamma et celle de Weibull.

Document Type: Research Article

Publication date: March 1, 2008

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  • Published since 1971, this monthly journal features articles, reviews, notes and commentaries on all aspects of forest science, including biometrics and mensuration, conservation, disturbance, ecology, economics, entomology, fire, genetics, management, operations, pathology, physiology, policy, remote sensing, social science, soil, silviculture, wildlife and wood science, contributed by internationally respected scientists. It also publishes special issues dedicated to a topic of current interest.
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