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This study was carried out in a stand of Eucalyptus sp on a property in the municipality of Campo Verde, in the central-southern region of the state of Mato Grosso. The aim was to test and select the tapering function that best estimates diameters and volumes along the stem for trees of the Eucalyptus genus, and to evaluate the performance of non-segmented tapering functions for estimating diameters and volumes at all measurement heights. The database consisted of 40 trees rigorously cubed using the Smalian method. The models used for the estimates were the Kozak model, the Fifth Degree model and the Hradetzky model. The model adjustments were evaluated according to the corrected coefficient of determination (R²), the standard error of the estimate in percentage (Sxy%), and the distribution of the residuals in percentage (%). The accuracy of the models was assessed by the parameters deviation (D), standard deviation of differences (SDD), and percentage residual (PR), which were the basis for drawing up a classification and detecting the model that showed the best estimates of diameters and volumes along the stem.