<b>Leaf area estimation of <i>Congea tomentosa</i> using a non-destructive method</b>

Dias, Marlon G.; Mela, Débora; Silva, Toshik I. da; Ribeiro, João E. da S.; Grossi, José A. S.; Zuin, Affonso H. L.; Martinez, Andressa C. P.; Barbosa, José G.

doi:10.1590/1807-1929/agriambi.v26n10p729-734

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Articles • Rev. bras. eng. agríc. ambient. 26 (10) • Oct 2022 • https://doi.org/10.1590/1807-1929/agriambi.v26n10p729-734 copy

**Leaf area estimation of Congea tomentosa using a non-destructive method** ¹ 1 Research developed at Universidade Federal de Viçosa, Viçosa, MG, Brazil

Estimativa de área foliar de Congea tomentosa através de método não destrutivo

Authorship SCIMAGO INSTITUTIONS RANKINGS

HIGHLIGHTS:

Estimates of leaf area of Congea tomentosa based on measurements of leaf dimensions are a useful non-destructive method.

Estimates of the leaf area of C. tomentosa by statistical models are a non-expensive tool easily accessible to producers.

The equation ŷ = 0.63 × LW (Leaf: L = length, W = width) can be used to estimate the leaf area of C. tomentosa.

ABSTRACT

Congea tomentosa is a climbing plant suitable for covering arbors, railings, and fences. Leaf area determination is useful in understanding the plant-environment relationship and facilitating agronomic studies on transpiration, water requirement, light interception, and photosynthetic activity. The objective of this study was to obtain an allometric equation to estimate the leaf area of C. tomentosa by measuring the leaf dimensions. Analyses were performed on 200 leaves of different shapes and sizes from 10 randomly chosen adult plants grown under field conditions. The leaf length, leaf width, product length and width, and leaf area were determined. Linear, linear without intercept, quadratic, cubic, power, and exponential regression models were used to estimate the leaf area. The coefficient of determination, Willmott’s concordance index, Akaike information criterion, root mean square error and BIAS index were used to determine the best model. The leaf area of C. tomentosa can be satisfactorily estimated using a non-destructive method that uses measurements of leaf dimensions. The equation ŷ = 0.63 × LW (Leaf: L = length, W = width) estimates the leaf area of C. tomentosa in a practical and fast way, with 99.15% of precision. Estimation of the leaf area of C. tomentosa using statistical models is less expensive and easily accessible to researchers and producers of this plant.

Key words:
leaf dimensions; vine; statistical models; modeling

Model	Model description
Linear	$\hat{y} = β_{0} + β_{1} * x + e_{i}$
Linear (0.0)	$\hat{y} = β_{1} * x + e_{i}$
Quadratic	$\hat{y} = β_{0} + β_{1} * x + β_{2} * x^{2} + e_{i}$
Cubic	$\hat{y} = β_{0} + β_{1} * x + β_{2} * x^{2} + β_{3} * x^{3} + e_{i}$
Power	$\hat{y} = β_{0} * x^{β_{1}} + e_{i}$
Exponential	$\hat{y} = β_{0} * β_{1}^{x} + e_{i}$

Descriptive statistic	L	W	LW	LA
Descriptive statistic	(cm)		(cm²)
Minimum	6.56	2.28	14.94	9.79
Maximum	17.77	8.38	143.09	93.91
Mean	12.28	5.48	69.80	43.97
Total amplitude	11.20	6.11	128.15	84.13
Median	12.16	5.39	65.93	41.55
Variance	5.49	1.40	721.56	275.80
Standard deviation	2.34	1.18	26.86	16.61
Standard error	0.17	0.08	1.90	1.17
CV (%)	19.08	21.61	38.48	37.77

Model	x	r	R²	AIC	RMSE	MAE	d	Equation	CV (%)
Linear	L	0.9485	0.8991	1236.86	5.2500	3.9781	0.9729	$\hat{y} = - 38.59 + 6.72 * * \times L$	36.76
Linear	W	0.9733	0.9471	1107.62	3.8004	2.8562	0.9863	$\hat{y} = - 30.84 + 13.65 * * \times W$	37.22
Linear	LW	0.9917	0.9832	880.02	2.1300	1.6525	0.9958	$\hat{y} = 1.18 + 0.61 * * \times L W$	37.56
Linear (0.0)	LW	0.9915	0.9978	885.59	2.1925	1.7095	0.9957	$\hat{y} = 0.63 * * \times L W$	37.25
Quadratic	L	0.9552	0.9115	1211.49	4.9027	3.6013	0.9766	$\hat{y} = - 1.78 + 0 . 43^{n s} \times L + 0.26 * * \times L^{2}$	36.88
Quadratic	W	0.9765	0.9530	1084.91	3.5728	2.6538	0.9880	$\hat{y} = - 9.93 + 5.75 * * \times W + 0.71 * * \times W^{2}$	37.28
Quadratic	LW	0.9915	0.9830	881.91	2.1508	1.6754	0.9957	$\hat{y} = 0.89 + 0.62 * * \times L W - 0 . 00005^{n s} \times L W^{2}$	37.56
Cubic	L	0.9562	0.9130	1209.07	4.8488	3.5910	0.9771	$\hat{y} = 48.44 - 13.06 * \times L + 1.42 * \times L^{2} - 0.03 * \times L^{3}$	36.90
Cubic	W	0.9767	0.9532	1085.09	3.5565	2.6443	0.9881	$\hat{y} = 5.60 - 3 . 61^{n s} \times W + 2.51 * \times W^{2} - 0 . 11^{n s} \times W^{3}$	37.28
Cubic	LW	0.9915	0.9830	880.01	2.1514	1.6815	0.9957	$\hat{y} = - 2.3 + 0.78 * * \times L W - 0.002 * \times L W^{2} + 0 . 00001^{n s} \times L W^{3}$	37.56
Power	L	0.9552	0.9124	1209.43	4.9020	3.6008	0.9766	$\hat{y} = 0.31 * * \times L^{1.96 * *}$	36.85
Power	W	0.9763	0.9531	1084.58	3.5877	2.6734	0.9878	$\hat{y} = 2.26 * * \times W^{1.73 * *}$	37.16
Power	LW	0.9915	0.9832	879.64	2.1494	1.6662	0.9957	$\hat{y} = 0.71 * * \times L W^{0.97 * *}$	37.56
Exponential	L	0.9482	0.8991	1239.13	5.2798	3.8593	0.9719	$\hat{y} = 6.74 * * \times 1 . 16^{* * L}$	36.25
Exponential	W	0.9668	0.9348	1153.10	4.2581	3.2546	0.9822	$\hat{y} = 8.59 * * \times 1 . 33^{* * W}$	36.53
Exponential	LW	0.9668	0.9348	1116.72	4.2581	3.2546	0.9822	$\hat{y} = 17.89 * * \times 1 . 01^{* * L W}$	36.56

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
E-mail: revistagriambi@gmail.com

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[1] * Corresponding author - E-mail: iarley.toshik@gmail.com

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Leaf area estimation of Congea tomentosa using a non-destructive method 1 1 Research developed at Universidade Federal de Viçosa, Viçosa, MG, Brazil

Estimativa de área foliar de Congea tomentosa através de método não destrutivo

HIGHLIGHTS:

ABSTRACT

**Leaf area estimation of Congea tomentosa using a non-destructive method** ¹ 1 Research developed at Universidade Federal de Viçosa, Viçosa, MG, Brazil