2019
DOI: 10.5539/jas.v11n10p154
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Alometric Model for Estimation of Leaf Area of Garcinia brasiliensis Mart. Through Non-destructive Method

Abstract: The objective of the present study was to test and establish mathematical models to estimate the leaf area of Garcinia brasiliensis Mart. through linear dimensions of the length, width and product of both measurements. In this way, 500 leaves of trees with age between 4 and 6 years were collected from all the cardinal points of the plant in the municipality of São Mateus, North of the State of Espírito Santo, Brazil. The length (L) along the main midrib, the maximum width (W), the product… Show more

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Cited by 2 publications
(5 citation statements)
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“…This high variation was also found by several authors when studying mathematical models to estimate the leaf area of other species [7] [10] [11]. These data point out that in the sample collected there are leaves of different stages of development and consequently of different sizes, which is a fundamental characteristic in the study of modeling, since the adjusted equations can later be used throughout the crop cycle [5] [8].…”
Section: Resultssupporting
confidence: 69%
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“…This high variation was also found by several authors when studying mathematical models to estimate the leaf area of other species [7] [10] [11]. These data point out that in the sample collected there are leaves of different stages of development and consequently of different sizes, which is a fundamental characteristic in the study of modeling, since the adjusted equations can later be used throughout the crop cycle [5] [8].…”
Section: Resultssupporting
confidence: 69%
“…Adjusted equation of power model and its coefficient of determination (R 2 ), using the real leaf area (RLA) as dependent variable, as a function of the product of length and width (LW) of leaves of Cordia myxa L.The equations adjusted with only one measurement of the leaf surface (L or W) are easier to use in practice[8]. However, this type of equation is less accurate and may require different adjustments throughout the vegetative cycle of the plants, thus requiring different equations for the different stages of development[19].…”
mentioning
confidence: 99%
“…Table 2 shows the descriptive statistics of the sampled data for modeling, and validation. The high coefficient of variation (CV) found can be explained by the high amplitude of the sample data with the presence of leaves used in the modeling with an area ranging from 11.94 to 70.23 cm 2 , this characteristic becomes fundamental in mathematical modeling studies, since in this interval there are small, medium, and large leaves, covering most of the possible number of phenological stages (13,4). An important fact to be mentioned is that the values used in the validation should not be smaller or larger than those used for the modeling, this should also be respected in future estimations, as extrapolated values can generate inaccurate information on the leaf area ( 14).…”
Section: Resultsmentioning
confidence: 99%
“…Table 4. Observed leaf area (OLA), and estimated leaf area (ELA) from equations of linear first degree, quadratic , and power for the independent variables length (L), width (W) , and product of length , and width (LW), in addition to the p-value, mean absolute error (MAE), the root mean square error (RMSE) , and It is worth mentioning that the combined use of more than one measure in the estimation of leaf area can be more laborious in practice because it is necessary to measure one more variable (17), however, as observed in the literature, several plant species have their leaf area best estimated from the union of two variables such as, for example, length, and width (18,19,20,4,21) demonstrating that these equations have greater acceptability in the prediction of leaf area.…”
Section: Resultsmentioning
confidence: 99%
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