11
American Scientific Research Journal for Engineering, Technology, and Sciences (ASRJETS)
ISSN (Print) 2313-4410, ISSN (Online) 2313-4402
© Global Society of Scientific Research and Researchers
http://asrjetsjournal.org/
Mathematical Model for Determining the Coffee Leaf
Area
Reginaldo José Cavallaro
a*
, Elizabeth Uber-Bucek
b
, José Roberto Delalibera
Finzer
c
a
Mechanical Department, Instituto Federal Sudeste de Minas, Santos Dumont/MG, Brazil
b
Pharmacology Department, Universidade de Uberaba, Uberaba/MG, Brazil
c
Chemical Engineering Department, Universidade de Uberaba, Uberaba/MG, Brazil
a
Email: reginaldo.cavallaro@gmail.com
b
Email: bethuber@gmail.com
c
Email: jrdfinzer@uol.com.br
Abstract
The present study aimed to establish a mathematical model to estimate, in a simple and precise way, the area of
the coffee leaves. What has been observed, in other works, already carried out, are many methods and
instruments with the purpose of facilitating the measurement of leaf area and most of them are destructive,
laborious and costly methods. For this study, 160 leaves of different dimensions were used to test linear and
non-linear mathematical models. The linear model, which uses a correction factor (ACF = 0.644 • LF • CF)
presented results with high precision (R² = 0.9898), with variations of -1.28% for larger leaves and 0.32% for
smaller leaves, validating the method. Therefore, this model can be safely used to estimate the area of Arabica
Catuaí 144 Red coffee leaves or similar.
Keywords: Coffee leaves; Leaf area; Area estimate; Mathematical models; Leaf sizing.
1. Introduction
Knowledge and obtaining the leaf area are crucial in studies, in agronomic, pharmaceutical and food segments,
which aim to evaluate plant growth.
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* Corresponding author.