TREE TRUNK SHAPE ANALYSIS - CLASSICAL GEOMETRY APPROACH
Journal Title: Natural Resources and Sustainable Development - Year 2016, Vol 6, Issue 1
Abstract
The form of the trees is a challenge for more than two centuries and yet it remained a current matter that must keep up with technological development. This issue needs answers in real time. To explain and model the taper (tree stem), researchers use various geometrical objects (neiloid, cone, paraboloid, cylinder) and form equations. Solving the problems concerning cone, paraboloid or composite formes is achieving satisfying results using the traditional approach of analytic geometry. In this paper, we have presented, on the basis of data sets, how using classical geometry or equations may create standards that can approximate the taper of trees. The species of trees chosed is spruce, (Picea abies L., H. Karst.) situated in the limit of the ecological species habitat. In the second part of the article we have carried out an experiment through which was tested informations obtained through mathematical modeling of taper form. The results indicate that there are differences between the three different models selected, which under certain conditions can be significant. The environmental factor is the main cause of taper form variability even in restricted areas, sometimes within the same production unit. That induces many iregular shapes which can be retrieved in the proposed models.
Authors and Affiliations
Ciprian Dumitru Musca, Constantin Nechita
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