Journal of Food, Agriculture and Environment

Mathematical model to estimate leaf area of guava (Psidium guajava)

Author(s):

Raimundo Thiago Lima da Silva ^{1 *}, Leane Castro de Souza ¹, Toshio Nishijima ², Diniz Fronza ², Wendel Kaian Oliveira Moreira ¹, Cândido Ferreira de Oliveira Neto ¹, Heráclito Eugênio Oliveira da Conceição ¹, Lucila Elizabeth Fragoso Monfort ¹, Fabio de Oliveira Lucas ¹, Ricardo Shigueru Okumura ¹

Recieved Date: 2015-04-03, Accepted Date: 2015-09-08

Abstract:

In order to obtain an equation that permits the estimation of guava leaf area through the dimensional linear parameters of the leaves, a study was conducted in the Polytechnic School of the Universidade Federal de Santa Maria. The guava leaves were collected on four occasions, at 30, 45, 60 and 75 days after pruning. The leaf area was determined by the method of discs. Linear models, linear without intercept, quadratic, cubic and power between leaf area and length or width and its products (Length * Width) were adjusted, and those that had a coefficient of determination less than 0.90 were eliminated. The statistic used to evaluate the performance of models was the Pearson correlation coefficient (r), the determination coefficient (R²), the root mean square error (RMSE), the mean absolute error (MAE), the index d of Willmott and CS index. The models that best fit the data were: the linear, linear without intercept, power and quadratic, considering the relation (Length * Width), as independent variable, and when considering only one dimension, the model power that used the length of the limb leaf was more realistic.

Keywords:

Non-destructive method, statistical model, limb leaf dimensions

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Journal: Journal of Food, Agriculture and Environment
Year: 2015
Volume: 13
Issue: 3&4
Category: Agriculture
Pages: 101-106

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