An allometric model to estimate total leaf area of banana plants of the cultivar Vitória (AAAB)

Padovan, Maria da Penha; Taques, Renato Corrêa; Marques, Nathielly Bertollo; Grangeiro, Letícia Paula Perdigão; Lazzarini, Alciro Lamão; Culik, Mark Paul; Ventura, José Aires

doi:10.1590/0103-8478cr20210403

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BIOLOGY • Cienc. Rural 52 (10) • 2022 • https://doi.org/10.1590/0103-8478cr20210403 copy

An allometric model to estimate total leaf area of banana plants of the cultivar Vitória (AAAB)

Um modelo alométrico para estimativa da área foliar total de bananeiras da cultivar Vitória (AAAB)

Authorship SCIMAGO INSTITUTIONS RANKINGS

ABSTRACT:

The plants physiological processes such as transpiration and photosynthetic efficiency are directly related to leaf area, which is difficult to quantify in a nondestructive manner. To generate a model to estimate the total leaf area of plants of banana cv. Vitória, simple and multiple linear regressions utilizing the length and width of the third leaf, the product of length and width of the third leaf, and the total number of leaves of ‘Vitória’ plants, were tested. The data to develop the model were obtained from ‘Vitória’ banana plants from different edafoclimatic conditions and management. The best performance of the model was obtained using stepwise multiple regression with r²=0.93 and r²= 0.94. Validation of the model resulted in an r² of 0.74.

Key words:
Musa; genotype; regression; nondestructive method

Authorship

Maria da Penha Padovan ^*E-mail: mppadovan@hotmail.com.br. * Corresponding author

Instituto Capixaba de Pesquisa, Assistência Técnica e Extensão Rural (INCAPER) , 29052-010, Vitória, ES, Brasil..Instituto Capixaba de Pesquisa, Assistência Técnica e Extensão Rural (INCAPER)BrasilVitória, ES, BrasilInstituto Capixaba de Pesquisa, Assistência Técnica e Extensão Rural (INCAPER) , 29052-010, Vitória, ES, Brasil..

https://orcid.org/0000-0003-2866-7029

Renato Corrêa Taques

https://orcid.org/0000-0003-0704-9248

Nathielly Bertollo Marques

https://orcid.org/0000-0002-1472-0119

Letícia Paula Perdigão Grangeiro

https://orcid.org/0000-0001-9439-5274

Alciro Lamão Lazzarini

https://orcid.org/0000-0002-8259-4476

Mark Paul Culik

https://orcid.org/0000-0002-5988-220X

José Aires Ventura

https://orcid.org/0000-0003-1422-1739

E-mail: mppadovan@hotmail.com.br. ^* Corresponding author

Editors: Leandro Souza da Silva (0000-0002-1636-6643)

Alessandro Dal’Col Lúcio (0000-0003-0761-4200)

DECLARATION OF CONFLICT OF INTEREST

The authors declare no conflict of interest. The founding sponsors had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, and in the decision to publish the results.

AUTHORS’ CONTRIBUTIONS

The authors equally contributed to the manuscript.

SCIMAGO INSTITUTIONS RANKINGS

Figures | Tables

Figures (2)
Tables (3)

Thumbnail

Figure 1
Correlation between values of the total leaf area (TLA) observed and predicted from the models of linear regression as a function of the parameters: number of leaves NL (a); length of the 3rd leaf (L3) (b); width of the 3rd leaf (W3) (c); product of length and width of the 3rd leaf (L3W3) (d); the combination of all of the parameters (NL, L3, W3, L3W3) (e); and, combination of the number of leaves and product of length and width of the 3rd leaf (f); obtained in the process of modeling the total leaf area of ‘Vitória’ banana plants.

Thumbnail

Figure 2
Correlation between values of the total leaf area (TLA) observed and predicted by the models of regression linear, as a function of the parameters number of leaves - NL (a), length of the 3rd leaf - L3 (b), width of the 3rd leaf - W3 (c), product of length and width of the 3rd leaf - L3W3 (d), combination of all of the variables (e) and combination of number of leaves and product of length and width of the 3rd leaf (f) obtained in the process of validation of the models of regression linear of the total leaf area of ‘Vitória’ banana plants.

Thumbnail

Table 1
Mean values (in meters), standard error (SE) and coefficient of variation (CV) of the parameters total leaf area (TLA), total number of leaves of the plant (NL), length of the 3rd leaf (L3), width of the 3rd leaf (W3) and product of length and width of the 3rd leaf (L3W3) obtained in the crops located at the Sooretama Experimental Farm (SEF), Bananal do Norte Experimental Farm (BNEF), Alfredo Chaves Experimental Farm (ACEF) and ArgeoDenadai Farm (ADF).

Thumbnail

Table 2
Models obtained, coefficients of determination (r²), root-mean square error (RMSE) and standard error (SE) from linear regressions to estimate the total leaf area of ‘Vitória’ banana plants considering the total leaf area (TLA), the number of leaves (NL), the length of the 3rd leaf (L3) and the width of the 3rd leaf (W3) and the product of the length of the 3rd leaf and the width of the 3rd leaf (L3W3).

Thumbnail

Table 3
Models utilized, coefficients of determination (r²), root mean square error (RMSE) and standard error (SE) in the validation of the equations obtained for estimation of the total leaf area of the ‘Vitória’ banana plants.

Figure 1 Correlation between values of the total leaf area (TLA) observed and predicted from the models of linear regression as a function of the parameters: number of leaves NL (a); length of the 3rd leaf (L3) (b); width of the 3rd leaf (W3) (c); product of length and width of the 3rd leaf (L3W3) (d); the combination of all of the parameters (NL, L3, W3, L3W3) (e); and, combination of the number of leaves and product of length and width of the 3rd leaf (f); obtained in the process of modeling the total leaf area of ‘Vitória’ banana plants.

Figure 2 Correlation between values of the total leaf area (TLA) observed and predicted by the models of regression linear, as a function of the parameters number of leaves - NL (a), length of the 3rd leaf - L3 (b), width of the 3rd leaf - W3 (c), product of length and width of the 3rd leaf - L3W3 (d), combination of all of the variables (e) and combination of number of leaves and product of length and width of the 3rd leaf (f) obtained in the process of validation of the models of regression linear of the total leaf area of ‘Vitória’ banana plants.

Table 1 Mean values (in meters), standard error (SE) and coefficient of variation (CV) of the parameters total leaf area (TLA), total number of leaves of the plant (NL), length of the 3rd leaf (L3), width of the 3rd leaf (W3) and product of length and width of the 3rd leaf (L3W3) obtained in the crops located at the Sooretama Experimental Farm (SEF), Bananal do Norte Experimental Farm (BNEF), Alfredo Chaves Experimental Farm (ACEF) and ArgeoDenadai Farm (ADF).

Site	-----------TLA-----------			----------NL-----------			-------------L3-------------			------------W3------------			---------L3W3--------
	Mean	SE	CV	Mean	SE	CV	Mean	SE	CV	Mean	SE	CV	Mean	SE	CV
SEF	6.3¹a	0.6	22.5	9.80a	0.6	13.3	1.7a	0.06	8.3	0.54a	0.02	8.8	0.94a	0.04	10.4
BNEF	17.7b	1.8	22.7	11.8a	0.9	16.3	2.8b	0.2	15.8	0.67b	0.03	8.8	1.95b	0.2	22.9
ACEF	16.0b	0.7	9.76	9.80b	0.5	11.2	2.9b	0.06	4.2	0.73b	0.03	8.1	2.16b	0.1	10.9
ADF	19.9b	1.9	21.4	12.6b	0.5	9.0	3.1b	0.1	7.3	0.74b	0.02	4.7	2.31b	0.1	10.4

¹Means followed by the same lower case letter in the column do not differ significantly (P <0.05).

Table 2 Models obtained, coefficients of determination (r²), root-mean square error (RMSE) and standard error (SE) from linear regressions to estimate the total leaf area of ‘Vitória’ banana plants considering the total leaf area (TLA), the number of leaves (NL), the length of the 3rd leaf (L3) and the width of the 3rd leaf (W3) and the product of the length of the 3rd leaf and the width of the 3rd leaf (L3W3).

Model	r²	RMSE	SE
TLA = -18.37 + 3.02 NL	0.57	4.75	1.09
TLA = -10.92 + 10.13 L3	0.74	3.68	0.84
TLA = -26.52 + 63.46 W3	0.80	3.28	0.75
TLA = -2.48 + 10.07 L3W3	0.81	3.18	0.73
TLA = -13.46 + 1.64 NL - 2.96 L3 -1.58 W3 + 10.75 L3W3	0.94	1.82	0.42
TLA = -16.88+1.63 NL+7.77 L3W3	0.93	1.86	0.43

Table 3 Models utilized, coefficients of determination (r²), root mean square error (RMSE) and standard error (SE) in the validation of the equations obtained for estimation of the total leaf area of the ‘Vitória’ banana plants.

Model	r²	RMSE	SE
TLA = -18.37 + 3.02 NL	0.58	2.94	0.79
TLA = -10.92 + 10.13 L3	0.16	3.45	0.92
TLA = -26.52 + 63.46 W3	0.28	4.01	1.07
TLA = -2.48 + 10.07 L3W3	0.24	3.96	1.06
TLA = -13.46 + 1.64 NL - 2.96 L3 -1.58 W3 + 10.75 L3W3	0.75	2.16	0.58
TLA = -16.88+1.63 NL+7.77 L3W3	0.74	2.09	0.56

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Universidade Federal de Santa Maria Universidade Federal de Santa Maria, Centro de Ciências Rurais , 97105-900 Santa Maria RS Brazil , Tel.: +55 55 3220-8698 , Fax: +55 55 3220-8695 - Santa Maria - RS - Brazil
E-mail: cienciarural@mail.ufsm.br

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An allometric model to estimate total leaf area of banana plants of the cultivar Vitória (AAAB)

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[1] E-mail: mppadovan@hotmail.com.br. ^* Corresponding author