Taper segmented equation generated from the equation which describes geometric solids

Abstract

In this work, from the equation y=bx^r, a methodology that links the different geometric solids in four segments of standing trees trunks was developed. Data from 1297 scaled trees of the hybrid Eucalyptus grandis and Eucalyptus urophylla were used for the preliminary analysis and independent data from another 65 scaled trees for the validation of the developed methodology related to the taper and volume predictions. The evaluation criteria of the quality and fitness of the methodology were based on the graphic analyses of the residuals and on the followings statistics: mean percentual deviation, residual standard error, accuracy obtained from the Chi-square test and the variance analyses by the Entirely Randomized Design in Subdivided Blocs with the use of the Dunnett test, both at 0.05 significance level. It was concluded that from a greometric solid, or optimized dendrometric prototype, it is possible to simulated the scaling of standing trees, measuring the trunk diameters located only at: 0.3 m, 1.3 m, h-2/2 and on h-1,25/1,25, besides the total height h, whose processes were included in a methodology named Relative Height Method with Two Diameters (hr2D).