Abstract
Bark volume and inside-bark volume are components of tree boles. Thus, equations for volume components must be additive so that their estimates are compatible to the total volume. This research aimed to present a method based on the additivity principle such that this condition is met. Volume modeling was performed using data from black-wattle ( Acacia mearnsii De Wild.) stands. We treat the inside-bark volume and bark volume as components of bole volume. The method known as Nonlinear Seemingly Unrelated Regressions (NSUR) ensured the condition for which the component values estimated by means of non-linear equations were additive and equivalent to the total value, demonstrating that the method is appropriate.
Highlights
In forest inventories, stem volume is one of the main variables of interest, mainly when it is obtained for commercial purposes
For the presented case of black-wattle, it is interesting that the estimates of the volume of components is compatible to the total volume, because in inventories is necessary to obtain the stocks of these components and these must be compatible to approach the biological reality
The compatibility of the equations can be called additivity, which corresponds to the volume estimates of stem components which do not differ from the total volume, i.e., the sum of the volume of the FLORESTA, Curitiba, PR, v. 50, n. 1, p. 905 - 914, jan/mar 2020
Summary
In forest inventories, stem volume is one of the main variables of interest, mainly when it is obtained for commercial purposes. For several forest species, but especially for black-wattle (Acacia mearnsii De Wild.), there are at least two components of the stem volume that should be measured: inside-bark volume and bark volume. For the presented case of black-wattle, it is interesting that the estimates of the volume of components (stem without bark and bark) is compatible to the total volume, because in inventories is necessary to obtain the stocks of these components and these must be compatible to approach the biological reality. The compatibility of the equations can be called additivity, which corresponds to the volume estimates of stem components which do not differ from the total volume, i.e., the sum of the volume of the FLORESTA, Curitiba, PR, v.
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