Nondestructive method for estimating the leaf area of sapodilla from linear leaf dimensions

Ribeiro, João E. da S.; Coêlho, Ester dos S.; Pessoa, Ângela M. dos S.; Oliveira, Anna K. S. de; Oliveira, Agda M. F. de; Barros Júnior, Aurélio P.; Mendonça, Vander; Nunes, Glauber H. de S.

doi:10.1590/1807-1929/agriambi.v27n3p209-215

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Articles • Rev. bras. eng. agríc. ambient. 27 (3) • Mar 2023 • https://doi.org/10.1590/1807-1929/agriambi.v27n3p209-215 copy

Nondestructive method for estimating the leaf area of sapodilla from linear leaf dimensions¹ 1 Research developed at Universidade Federal Rural do Semi-Árido, Mossoró, RN, Brazil

Método não destrutivo para estimar área foliar do sapotizeiro a partir de dimensões lineares das folhas

Authorship SCIMAGO INSTITUTIONS RANKINGS

HIGHLIGHTS:

The sapodilla leaf area can be estimated using a nondestructive method based on allometric equations.

Models that use the product of the leaf length and width present the best criteria for estimating the leaf area.

The equations LA = 0.664 × LW^1.018 and LA = 0.713 × LW accurately and quickly estimate the sapodilla leaf area.

ABSTRACT

The leaf area is a parameter of fundamental importance in studies on plant growth and physiology. The objective of this study was to build allometric equations for the accurate and fast estimation of sapodilla leaf areas. In total, 250 leaves of different shapes and sizes were collected from sapodilla matrices trees growing at the Universidade Federal Rural do Semi-Árido, Mossoró-RN, Brazil. For each leaf, the length, width, product of length and width (LW), product of length and length, product of width and width, and leaf area were measured. Linear and nonlinear models were used to construct the allometric equations. The best equations were chosen on the basis of the following criteria: the highest coefficient of determination, Pearson’s linear correlation coefficient, and Willmott’s index of agreement; and the lowest Akaike information criterion and root mean square error. It was verified that the models that used the LW value presented the best criteria for estimating the leaf area. Specifically, the equations ŷ = 0.664 × LW^1.018 and ŷ = 0.713 × LW, which use LW values, are the most suitable for estimating the leaf area of sapodilla quickly and accurately.

Key words:
Manilkara zapota L.; biometrics; regression models; Sapotaceae

Model	Coefficients		R²	r	AIC	d	RMSE	Estimator of LA (ŷ)
Model	β₀	β₁	R²	r	AIC	d	RMSE	Estimator of LA (ŷ)
$ŷ = β_{0} + β_{1} \times L + ε_{i}$	-21.340**	4.799**	0.8905	0.9439	1295.63	0.9703	3.8979	$ŷ = - 21.340 + 4.799 \times L$
$ŷ = β_{0} + β_{1} \times W + ε_{i}$	-21.380**	13.400**	0.9316	0.9653	1186.40	0.9820	3.0803	$ŷ = - 21.380 + 13.400 \times W$
$ŷ = β_{0} + β_{1} \times L W + ε_{i}$	-0.358**	0.721**	0.9953	0.9976	573.27	0.9987	0.8252	$ŷ = - 0.358 + 0.721 \times L W$
$ŷ = β_{1} \times L W + ε_{i}$	---	0.713**	0.9954	0.9976	567.08	0.9988	0.8108	$ŷ = 0.713 \times L W$
$ŷ = β_{0} + β_{1} \times L L + ε_{i}$	0.843^ns	0.244**	0.9159	0.9572	1234.37	0.9777	3.4158	$ŷ = 0.843 + 0.244 \times L L$
$ŷ = β_{0} + β_{1} \times W W + ε_{i}$	1.510**	1.848**	0.9474	0.9734	1125.32	0.9864	2.7003	$ŷ = 1.510 + 1.848 \times W W$
$ŷ = β_{0} \times L^{β_{1}} + ε_{i}$	0.288**	1.944**	0.9160	0.9570	1235.17	0.9777	3.4217	$ŷ = 0.288 \times L^{1.944}$
$ŷ = β_{0} \times W^{β_{1}} + ε_{i}$	2.329**	1.873**	0.9485	0.9739	1121.35	0.9865	2.6773	$ŷ = 2.329 \times W^{1.873}$
$ŷ = β_{0} \times L W^{β_{1}} + ε_{i}$	0.664**	1.018**	0.9991	0.9977	560.75	0.9988	0.7998	$ŷ = 0.664 \times L W^{1.018}$
$ŷ = β_{0} \times L L^{β_{1}} + ε_{i}$	0.288**	0.972**	0.9160	0.9570	1235.17	0.9777	3.4217	$ŷ = 0.288 \times L L^{0.972}$
$ŷ = β_{0} \times W W^{β_{1}} + ε_{i}$	2.329**	0.936**	0.9485	0.9739	1121.34	0.9865	2.6773	$ŷ = 2.329 \times W W^{0.936}$
$ŷ = β_{0} \times {β_{1}}^{L} + ε_{i}$	4.208**	1.192**	0.9051	0.9513	1265.56	0.9735	3.6533	$ŷ = 4.208 \times 1 . 192^{L}$
$ŷ = β_{0} \times {β_{1}}^{W} + ε_{i}$	4.750**	1.581**	0.9255	0.9620	1212.51	0.9790	3.2586	$ŷ = 4.750 \times 1 . 581^{W}$
$ŷ = β_{0} \times {β_{1}}^{L W} + ε_{i}$	11.104**	1.022**	0.9255	0.9620	1205.61	0.9790	3.2586	$ŷ = 11.104 \times 1 . 022^{L W}$
$ŷ = β_{0} \times {β_{1}}^{L L} + ε_{i}$	11.254**	1.008**	0.9301	0.9644	1358.22	0.9792	3.2105	$ŷ = 11.254 \times 1 . 008^{L L}$
$ŷ = β_{0} \times {β_{1}}^{W W} + ε_{i}$	12.134**	1.054**	0.8605	0.9276	1350.24	0.9579	4.4608	$ŷ = 12.134 \times 1 . 054^{W W}$

Unidade Acadêmica de Engenharia Agrícola Unidade Acadêmica de Engenharia Agrícola, UFCG, Av. Aprígio Veloso 882, Bodocongó, Bloco CM, 1º andar, CEP 58429-140, Campina Grande, PB, Brasil, Tel. +55 83 2101 1056 - Campina Grande - PB - Brazil
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[1] * Corresponding author - E-mail: j.everthon@hotmail.com

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Nondestructive method for estimating the leaf area of sapodilla from linear leaf dimensions1 1 Research developed at Universidade Federal Rural do Semi-Árido, Mossoró, RN, Brazil

Método não destrutivo para estimar área foliar do sapotizeiro a partir de dimensões lineares das folhas

HIGHLIGHTS:

ABSTRACT

Nondestructive method for estimating the leaf area of sapodilla from linear leaf dimensions¹ 1 Research developed at Universidade Federal Rural do Semi-Árido, Mossoró, RN, Brazil