A eficiência das funções polinomiais, da função spline cúbica e razões de volume para representar o perfil da árvore e estimar os sortimentos de Pinus elliottii

Abstract

This work aimed to test cubic spline function to stand for the trunk profile and total and commercial volume of the tree, by identifying the best combination among diameters along the bole for the function of polynomes by diameter classes, report the development of the theory of cubic splines functions for volumetric quantification on trees, evaluate the volume for classes of 8 to 18 cm in diameter with a bark at the thinnest tip of the log, from 18 to 25 cm, from 25 to 35 cm and compare the efficiency of volume rations of polynomial models and cubic spline function to stand for the trunk profile at the different diameter classes to what 185 Pinus elliottii trees were cubed in the region of Jaguariaíva-PR. In the first chapter, the efficiency of cubic spline function was tested by comparing two alternatives to find the linking points among the polynomials of the function. The search of them, as proceeded by diameter class, provided more effective estimatives than the generic form. In the second chapter, tapering models for quantification of assortments on tree were tested. It was found that none of those stood out relative to the othere for the different situations considered. At last, in the third chapter, the efficiency of these two tapering equations was compared to stand for the profile of the tree. As a result, the polynomial models proved more efficient than the other models tested.