Modeling Fruit Growth of ‘Triunfo’ Pear Grown in North Espírito Santo State

Abstract

The objective of this study was to obtain mathematical models to estimate non-destructively the fruit mass of pear cv. ‘Triunfo’. To this end, 128 fruits from all developmental stages collected at three different times were used. Fruits were measured for maximum length (L), maximum width (W) and observed mass (OM). For the adjustment, with a sample of 100 fruits, the models first degree linear, quadratic and power were tested, in which the OM was used as the dependent variable in function of L and W. From a sample of 28 fruits, separated for this purpose the equations were validated. Thus, it indicates an equation of the quadratic model represented by EM = 36.020218 – 3.067232(W) + 0.082568(W)2  using from the measurement of the largest fruit width (W), as the most accurate to estimate the fruit mass of pear cv. ‘Triunfo’.

Modeling the growth of 'Isabel' grape fruits

“…Thus, it can be seen that the diameter of the berries has a greater relationship with the estimated weight. This result was also observed by Santos et al (12) in their study with papaya; Jorquera-Fontena et al (7) in their study with blueberry, in which fruit weight was satisfactorily estimated based on diameter; and by Oliveira et al (8), where the width, in general, showed a greater relationship with the mass of pear fruits in all models studied.…”

Fruit Mass of <i>Carica papaya</i> L. from Cultivars Aliança and THB from the Width and Length of the Fruit

“…Given this fact, it can be seen that the width of the papaya fruit has a greater relationship with the mass. [15] in their study with pear state that the best adjustment in relation to the width may be associated with the piriform characteristic of the fruits, where there is a greater accumulation of mass in the medial-basal region, favoring the relationship between these characteristics. In other growth studies, the equations that best fit with the mass were also those that used the width of the fruit [13] [15].…”

“…[15] in their study with pear state that the best adjustment in relation to the width may be associated with the piriform characteristic of the fruits, where there is a greater accumulation of mass in the medial-basal region, favoring the relationship between these characteristics. In other growth studies, the equations that best fit with the mass were also those that used the width of the fruit [13] [15]. The analysis of covariance was significant for the linear and angular coefficients (p < 0.05), showing that the two cultivars show different growth and, therefore, there was a need to adjust equations for each cultivar separately.…”

“…The equation must be chosen not only by the high coefficient of determination (R 2 ), but by several criteria as well as performed by [25] and [15]. The criteria for the validation of the equations are presented in Table 3.…”

“…), using a power-type equation, [13] estimated its mass, [14] estimated an equation that, based on the diameters of the babassu fruit, can estimate its volume. [15] adjusted a quadratic equation that estimates the mass of pear (Pyrus communis L.) using the diameter of the fruit.…”