Um modelo alométrico para estimativa da área foliar total de bananeiras da 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

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

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

Autoria SCIMAGO INSTITUTIONS RANKINGS

RESUMO:

Processos fisiológicos das plantas como transpiração e eficiência fotossintética estão diretamente relacionados à área foliar, a qual é difícil quantificar de forma não destrutiva. Para gerar um modelo para estimar a área foliar total de plantas da cv. Vitória, foram testadas regressões lineares simples e múltiplas utilizando comprimento e largura da terceira folha, o produto comprimento e largura da terceira folha e número total de folhas. Os dados para desenvolver o modelo foram obtidos de cultivos com diferentes condições edafoclimáticas e de manejo. O melhor modelo foi obtido por meio de regressão múltipla stepwise com r² = 0,93 e r² = 0,94. A validação do modelo resultou em r² de 0,74.

Palavras-chave:
Musa; genótipo; regressão; método não destrutivo

Autoria

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

Figuras | Tabelas

Figuras (2)
Tabelas (3)

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

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