Abstract

This study aims to model the hypsometric relation to Pinus elliottii Engelm in the city of Dois Vizinhos, Parana State, Brazil, and to investigate the difference of the relationship between the different sociological positions. For this study was conducted a census on a plot of 0.25 ha located on the Campus of the Federal Technological University of Parana, being measured diameter at breast height (dbh), total height (h) and sociological position of three strata: PS1 - dominant trees; PS2 - codominant trees; and PS3 - controlled or suppressed trees. Seven models of hypsometric relation determined by STEPWISE procedure were adjusted. The parameters used for selection of the models were the adjusted coefficient of determination (R 2 aj. ), coefficient of variation (CV), calculated F value and the examination of residue. The analysis of covariance (ANACOVA) was used to verify the difference in level and trend of the equations selected among the different sociological positions. The model selected to describe the hypsometric relation was: ln h = 2.7654 to 15.62751 * 1 / √dap 3 with R 2 aj. values equal to 0.53, CV 4.57% and F value equal to 331.47. Analysis of covariance indicated significant differences in level and slope model that describes the hypsometric relationship between the different sociological positions, fitting with this data again, generating equations for each sociological position, these being: PS1: ln h = 2.7905 to 15.6652 * 1 / √dap 3 ; PS2: ln h = 2.6206 to 7.3158 * 1 / √dap 3 ; and PS3: ln h = 2.7537 to 15.9753 * 1 / √dap 3 .

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