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Abstract
The objective of this study was to select mathematical equations that best fit the estimation of the leaf area of pink pepper (Schinus terebinthifolius Raddi) from the linear leaflet dimensions. 500 leaflets with different physiological ages of a commercial plantation were collected, located in the region of Gameleira, municipality of São Mateus, North of the State of Espírito Santo, Brazil. Was measured the length (L) along the main midrib, the largest width (W) and the observed leaf area (OLA) of each sheet. The product of the multiplication between L and W of the leaflets (LW) was determined. For the modeling the measurements of 400 leaflets were used, where OLA was used in function of L, W or LW. Based on the models found, we obtained the estimated leaf area (ELA). A simple linear regression was fitted for each proposed model of OLA in function of ELA. We tested the hypotheses H0: β0 = 0 versus Ha: β0 ≠ 0 and H0: β1 = 1 versus Ha: β1 ≠ 1, using Student’s t test at 5% probability. The mean values of ELA and OLA were compared by Student’s t test 5% probability. It was determined the mean error (E), mean absolute error (MAE), root mean square error (RMSE) and Willmott d index. The best adjusted equation was chosen by linear coefficient (β0) not different from zero, angular coefficient (β1) not unlike one, non-significant values of ELA and OLA, E, EAM and RQME closer to zero and Willmott’s index d closer to one. In this way, the leaf area of leaflets of Schinus terebinthifolius Raddi can be estimated by the quadratic model equation ELA = -2.6646 + 2.2124W + 1.3953(W)2 , using only the width of the leaves as a measure.
Highlights
The pink pepper (Schinus terebinthifolius Raddi) is a species belonging to the family Anacardiaceae, known as red aroeira, aroeira mansa, aroeira pimenteira, aroeira of the beach (Paiva & Aloufa, 2009)
This work aimed to select the equations that best fit the determination of the leaf area of pink pepper plants (Schinus terebinthifolius Raddi) from the linear dimensions of the leaflets
This high variability is desirable in studies to obtain mathematical equations for the estimation of leaf area since it reflects the use of leaves with different proportions, being a representative sample of the population contemplating all stages of development of the plant
Summary
The pink pepper (Schinus terebinthifolius Raddi) is a species belonging to the family Anacardiaceae, known as red aroeira, aroeira mansa, aroeira pimenteira, aroeira of the beach (Paiva & Aloufa, 2009). Native to South America (Degáspari, Waszczynskyj, & Prado, 2005), is widely distributed throughout the Brazilian territory, especially in regions of the Atlantic Forest (Santana, Sartorelli, Lago, & Matsuo, 2012). It is a medium sized plant with composite and aromatic leaves (Ceruks, Romoff, Fávero, & Lago, 2007) and small flowers, grouped in inflorescences (Silva, Nogueira, Oliveira, & Santos, 2008). The fruits are of the drupe type, when ripe, they present a red and lustrous coloration, whose smell resembles that of the pepper (Oliveira Junior et al, 2013). The seed is unique, presenting dark brown coloration with a diameter of 4 to 5 mm
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