Name: VINICIUS DE SOUZA OLIVEIRA

Publication date: 28/02/2020
Advisor:

Namesort descending Role
EDILSON ROMAIS SCHMILDT Advisor *

Examining board:

Namesort descending Role
ADRIEL LIMA NASCIMENTO External Examiner *
EDILSON ROMAIS SCHMILDT Advisor *
EDNEY LEANDRO DA VITÓRIA Internal Examiner *

Summary: OLIVEIRA, Vinicius de Souza; M.Sc; Federal University of Espirito Santo; July 2019;
Statistical modeling of biometric characteristics for low-strain apple cultivars
grown in the north state of Espírito Santo; Advisor: Edilson Romais Schmildt, Coadvisor:
Omar Schmiltd.
The exploitation of apple cultivars (Malus domestica Borkh) with little cold demand has
shown great potential for the diversification of agricultural crops in tropical regions.
Among the cultivars that stand out, we can mention Eva, Julieta and Princesa, who
have good productivity and fruit quality. However, these cultivars need more studies
that allow a better knowledge of their physiological patterns to understand their
behavior over the years, which are fundamental characteristics for the management of
culture. In this context, the use of mathematical models allows to relate characteristics
that are difficult to measure with characteristics that are easy to measure, obtaining
simple and precise equations that estimate these characteristics in a non-destructive
way. In view of the need to understand the growth patterns of apple culture in tropical
regions, two experiments were developed. In the first experiment, the objective was to
study the modeling of the leaf area of three apple cultivars, Eva, Julieta and Princesa,
looking for a single regression equation that could represent the three cultivars. For
this experiment, a total of 900 leaves were used, divided between the adjustment of
the modeling and the validation from which 36 equations were obtained to estimate
the cultivar area individually and two equations to estimate the area of the three
cultivars together in which they combined the averages of the actual leaf area of the
leaves with the measures of their length, width and their respective combinations.
Thus, it was possible to conclude that the model equation power the leaf area as a
function of the product of the multiplication of the length with the width (LW)
represented by ELA = 0.8119 LW -../01 it presented greater precision in relation to the
other models obtained, being the most adequate to estimate the leaf area of the
cultivars of apple tree Eva, Julieta and Princesa together, quickly, safely, easily and
non-destructively. In the second experiment, the objective was to generate
mathematical model equations in order to estimate non-destructively the mass of apple
fruits of the cultivars Eva, Julieta and Princesa from the dimensions of length and width.
For this, 390 fruits (130 of each cultivar) were measured, obtaining the measures of
ix
length (L), diameter (D) and observed mass (OM), these characteristics were related
giving rise to first degree and power linear model equations. After validation, it was
found that it was not possible to adjust a single model to meet the three cultivars. Thus,
the mass of the apple fruits can be predicted, in a non-destructive way, by the power
model through the greater width of the fruits by the equation EM = 0.0064 D 6.0/1- for
cultivating Eva, EM = 0.0054 D 6.8-9: for cultivating Julieta and EM =
0.0041 D 6.8/9; for cultivating Princesa. If necessary, the power model equation EM =
0.0051 D 6.89:- can be used to estimate together the mass of cultivars Julieta and
Princesa from the largest diameter.

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