An evaluation of various probability density functions for predicting diameter distributions in pure and mixed-species stands in Türkiye

dc.authorid0000-0002-9435-9844
dc.authorid0000-0003-4250-7371
dc.contributor.authorŞahin, Abdurrahman
dc.contributor.authorErcanlı, İlker
dc.date.accessioned2025-07-25T08:38:59Z
dc.date.available2025-07-25T08:38:59Z
dc.date.issued2023
dc.departmentAÇÜ, Orman Fakültesi, Orman Mühendisliği Bölümü
dc.description.abstractAim of study: To assess the capabilities of some infrequently used probability density functions (PDFs) in modeling stand diameter distributions and compare their performance to that of typical PDFs. Area of study: The research was conducted in pure and mixed stands located in the OF Planning Unit of the Trabzon Forest Regional Directorate in Northern Türkiye. Materials and methods: A set of 17,324 DBH measurements, originating from 608 sample plots located in stands of even-aged and pure and mixed stands, were obtained to represent various stand conditions such as site quality, age, and stand density in OF planning unit forests. In order to ensure a minimum of 30-40 trees in each sample plot, the plot sizes ranged from 0.04 to 0.08 hectares, depending on stand density. The parameters of PDFs include Weibull with 3P and 2P, Rice, Rayleigh, Normal, Nagakami, Lognormal with 2P and 3P, Lévy with 1p and 2P, Laplace, Kumaraswamy, Johnson’s SB, and Gamma were estimated using the maximum likelihood estimation (MLE) prediction procedure. Additionally, the goodness of fit test was combined with the Kolmogorov-Smirnov test (statistically at a 95% confidence interval). Main results: The Rayleigh distribution was the model that best explained the diameter distributions of pure and mixed forests in the OF Planning Unit (as Fit Index (FI) = 0.6743 and acceptance rate 96.4% based on the result of one sample Kolmogorov-Smirnov test). Research highlights: Less commonly used PDFs such as Rice, Nakagami, and Kumaraswamy-4P demonstrated superior predictive performance compared to some traditional distributions widely used in forestry, including Weibull-2P and-3P, Johnson’s SB, Normal, Gamma-3P, and Lognormal-3P.
dc.identifier.doi10.5424/fs/2023323-20130
dc.identifier.issn21715068
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85177213492
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://hdl.handle.net/11494/5871
dc.identifier.volume32
dc.indekslendigikaynakScopus
dc.institutionauthorŞahin, Abdurrahman
dc.institutionauthorid0000-0002-9435-9844
dc.language.isoen
dc.publisherInstituto Nacional de Investigación y Tecnología Agraria y Alimentaria (CSIC-INIA)
dc.relation.ispartofForest Systems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMaximum likelihood estimation
dc.subjectRayleigh distribution
dc.subjectStand structures
dc.titleAn evaluation of various probability density functions for predicting diameter distributions in pure and mixed-species stands in Türkiye
dc.typeArticle

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