Empiryczna ocena dokładności zwykłych wzorów dendrometrycznych dla strzał bez kory modrzewia europejskiego Larix decidua Mill. Empirical evaluation of the accuracy of dendrometric formulas for European larch Larix decidua Mill. stems without bark
To determine the volume of felled trees, dendrometric formulas are used that are the product of a specific cross-section
and the length of a dendrometric solid. In order to apply these formulas on a larger scale, it is essential to know their accuracy. Most
of the research on the accuracy of dendrometric formulas has been carried out using Scots pine with other tree species, including
European larch Larix decidua Mill., often being overlooked. The aim of this study was to assess the accuracy of eight common
dendrometric formulas for stems of European larch without bark. The research material consisted of 290 larch stems from two forest
districts (Pińczów and Prudnik), representing trees from age classes II to V and older.
The following formulas were observed to be highly accurate: Huber’s, French, Hossfeld’s, Gieruszynski’s and the two-halfs
formula. Huber’s formula provided the mean value of percentage errors closest to zero (0.8%) and was the most accurate for-
mula, whereas the two-halfs formula, showed the lowest variability of percentage errors (standard deviation 3.1%). However,
all formulas tended to generate systematic errors with the merchant’s and two-halfs formulas underestimating the volume, while
the others overestimated the volume.
Most of the formulas ́ accuracy was uniform across the different age classes with the exception of the Smalian’s and Rieckie-
-Newton’s formulas, that were significantly less accurate when applied to the V and older age classes, and the merchant’s formu-
la, characterized by greater accuracy in the V and older age classes. Pair-wise comparisons of the formulas ́ accuracy revealed
significant differences between most of the analyzed pairs of formulas though no differences were found between the French
and Gieruszynski, French and Hossfeld, Gieruszynski and Hossfeld, Gieruszynski and Huber formulas as well as between the
Hossfeld and Huber formulas.
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