ESTIMATION OF THE WEIBULL DISTRIBUTION FORM PARAMETER AS A FUNCTION OF THE SCALE PARAMETER BY THE PERCENTILE METHOD

Q4 Environmental Science

Floresta Pub Date : 2022-10-07 DOI:10.5380/rf.v52i4.84893

T. Costa, André Luiz Miranda Guimarães

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引用次数: 0

Abstract

Among the probability density functions that estimate and project diametric distributions, the Weibull function is one of the most studied, and the percentile method is an alternative approach for estimating its parameters, with different deduction methods for calculating the location, scale, and shape parameters; in addition, of these parameters, some require iteration between formulas. In this study, the percentile method was used, and a function was established between the shape parameter, the asymptotic percentiles, and the scale parameter. This function was tested with continuous forest inventory (CFI) data of a Khaya grandifoliola stand and Eucalyptus spp. in integrated forest-livestock-forest (IFLF) systems, and the function was also validated based on distributions designed by the application of a recovery methodology for determining forest growth and production (FG&P) parameters. The results showed an exact correlation when compared with the parameters calculated by the percentile method. This function using the percentile method, due to its practicality, may be an alternative for obtaining the shape parameter in FG&P methodologies.

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用百分位数法估计威布尔分布形式参数作为尺度参数的函数

在估计和投影直径分布的概率密度函数中，威布尔函数是研究最多的函数之一，百分位法是估计其参数的一种替代方法，具有不同的推导方法来计算位置、尺度和形状参数；此外，在这些参数中，有些参数需要在公式之间进行迭代。在本研究中，使用了百分位数方法，并在形状参数、渐近百分位数和尺度参数之间建立了函数。在综合森林畜牧林（IFLF）系统中，利用Khaya grandifolila林分和桉树属的连续森林清查（CFI）数据对该函数进行了测试，并根据应用恢复方法确定森林生长和生产（FG-P）参数设计的分布对该函数进行了验证。与百分位数法计算的参数相比，结果显示出精确的相关性。由于其实用性，使用百分位数方法的该函数可能是FG&P方法中获得形状参数的替代方案。

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来源期刊

Floresta Environmental Science-Nature and Landscape Conservation

CiteScore

0.80

自引率

0.00%

发文量

期刊介绍： Revista Floresta admits articles of scientific contribution in Forest Science, in the areas of Nature Conservation, Economy and Forest Policy, Forest Management, Silviculture and Wood Technology. The main task is to promote and divulgate the development of Forest Science in Brazil and in the world. Articles published in Revista Floresta are under total responsibility of the authors, who are aware that they are original studies. It remains implicit that articles were not submitted for publication to any other divulgation media. It remains explicit the agreement of authors to norms of the journal and, along the development of their work, the observance of ethic aspects and respect of the current copyright legislation.