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

IF 0.8 4区 农林科学 Q3 FORESTRY
Abdurrahman Sahin, İlker Ercanli
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Abstract

Aim 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. Material 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.
预测土耳其纯种和混合种林分直径分布的各种概率密度函数的评估
研究目的:评估一些不常用的概率密度函数在林分直径分布建模中的能力,并将其性能与典型概率密度函数的性能进行比较。研究领域:该研究在土耳其北部特拉布宗森林地区局of规划股的纯林和混合林中进行。材料和方法:从位于均匀老化、纯林分和混合林分的608个样地中获得了一组17324个DBH测量值,以代表of规划单位森林中的各种林分条件,如场地质量、年龄和林分密度。为了确保每个样地至少有30-40棵树,根据林分密度,样地面积从0.04公顷到0.08公顷不等。PDF的参数包括具有3P和2P的威布尔、Rice、Rayleigh、Normal、Nagakami、具有2P和3P的Lognormal、具有1p和2P的Lévy、Laplace、Kumaraswamy、Johnson’s SB和Gamma。此外,拟合优度检验与Kolmogorov-Smirnov检验相结合(统计置信区间为95%)。主要结果:瑞利分布是最能解释of规划单元中纯林和混合林直径分布的模型(拟合指数(FI)=0.6743,基于一个样本的Kolmogorov-Smirnov检验结果,接受率为96.4%)。研究亮点:与林业中广泛使用的一些传统分布(包括Weibull-2P和-3P、Johnson’s SB、Normal、Gamma-3P和Lognormal-3P)相比,Rice、Nakagami和Kumaraswamy-4P等不太常用的PDF显示出优越的预测性能。
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来源期刊
Forest Systems
Forest Systems FORESTRY-
CiteScore
1.40
自引率
14.30%
发文量
30
审稿时长
6-12 weeks
期刊介绍: Forest Systems is an international peer-reviewed journal. The main aim of Forest Systems is to integrate multidisciplinary research with forest management in complex systems with different social and ecological background
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