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 AS  Vol.11 No.7 , July 2020
Adjustment of Mathematical Equations to Determine the Area Leaf of Cordia myxa L.
Abstract: The objective of this study was to obtain mathematical equations through the leaf dimensions to estimate the area leaf of Cordia myxa L. 392 leaves of plants were collected, located in the municipality of São Mateus, North of the State of Espírito Santo, Brazil, 300 of which were used to adjust the equations and 92 for validation. Of all the leaves, the largest length (L) and maximum width (W) were measured, product of multiplying the length with the width (LW) and the real leaf area (RLA). Models equation first degree linear, quadratic and power were fitted, where RLA was the dependent variable as a function of L, W and LW as an independent variable. All equations were validated according to appropriate criterion. Thus, the power model ELA = 0.84(LW)0.9749, based on the product of multiplication of length with width (LW) is the most suitable for estimating the leaf area of Cordia myxa L.
Cite this paper: Araujo, M. , Faria, E. , Cunha, G. , de Moraes Nunes, P. , de Souza Oliveira, V. , dos Santos, K. , Schmildt, O. , Falqueto, A. , Tognella, M. and Schmildt, E. (2020) Adjustment of Mathematical Equations to Determine the Area Leaf of Cordia myxa L.. Agricultural Sciences, 11, 609-616. doi: 10.4236/as.2020.117038.
References

[1]   Barroso, I.C.E., Oliveira, F. and Ciarelli, D.M. (2009) Morfologia da unidade de dispersão e germinação de Cordia sellowiana Cham e Cordia myxa L. Bragantia, 68, 241-249.
https://doi.org/10.1590/S0006-87052009000100026

[2]   Favarin, J.L., Dourado Neto, D., García, A.G., Nova, N.A.V. and Favirin, M.G.G.V. (2002) Equações para estimativa do índice de área foliar do cafeeiro. Pesquisa agropecuária brasileira, 37, 769-773.
https://doi.org/10.1590/S0100-204X2002000600005

[3]   Lopes, M.C., Andrade, I., Pedroso, V. and Martins, S. (2004) Modelos empírico para a estimativa de área foliar da videira na casta Jaen. Ciência e Tecnologia Vitivinicultura, 19, 61-75.

[4]   Benincasa, M.M.P. (1988) Análise do crescimento de plantas: Noções básicas. FUNEP, Jaboticabal, 42 p.

[5]   Schmildt, E.R., Schmildt, O., Alexandre, R.S., Fernandes, A.A. and Czepak, M.P. (2016) Modelos alométricos na determinação da área foliar de Bauhinia monandra Kurz. Comunicata Scientiae, 7, 415-419.
https://doi.org/10.14295/cs.v7i3.1095

[6]   Oliveira, P.S., Silva, W., Costa, A.A.M., Schmildt, E.R. and Vitória, E.L. (2017) Leaf Area Estimation in Litchi by Means of Allometric Relationships. Revista Brasileira de Fruticultura, 39, 1-6.
https://doi.org/10.1590/0100-29452017403

[7]   Cargnelutti Filho, A., Toebe, M., Burin, C., Neu, I.M.M. and Alves, B.M. (2018) Número de folhas para modelar a área foliar de mucuna cinza por dimensões foliares. Revista de Ciências Agroveterinárias, 17, 571-578.
https://doi.org/10.5965/223811711732018571

[8]   Oliveira, V.S., Carvalho, C.F.M., França, J.M., Pinto, F.B., Santos, K.T.H., Santos, J.S.H., Santos, G.P., Pinheiro, A.P.B., Schmildt, O., Czepak, M.P., Arantes, S.D., Alexandre, R.S., Amaral, J.A.T., Vitória, E.L. and Schmildt, E.R. (2019a). Alometric Model for Estimation of Leaf Area of Garcinia brasiliensis Mart. through Non-Destructive Method. Journal of Agricultural Science, 11, 154-161.
https://doi.org/10.5539/jas.v11n10p154

[9]   Oliveira, V.S., Pinheiro, A.P.B., Silva, J.V.G., Jardim, A.S., Fernandes, A.A., Schmildt, O., Arantes, S.D., Posse, R.P. and Schmildt, E.R. (2019) Uso de imagens digitalizadas para elaboração de equações que estime a área foliar de mudas de Eugenia uniflora L. International Journal of Development Research, 9, 31062-31064.

[10]   Pinheiro, A.P.B., Oliveira, V.S., Santos, K.T.H., Santos, J.S.H., Santos, G.P., Silva, J.V.G., Jardim, A.S., Longue, L.L., Nunes, S.F., Azeredo, A.L.R., Pires, F.R., Fernandes, A.A., Schmildt, O., Czepak, M.P. and Schmildt, E.R. (2019) Estimation Leaf Area by Composite Leaves of Canavalia rosea Seedlings through Linear Dimensions from Last Leaflet. Journal of Agricultural Science, 11, 299-308.
https://doi.org/10.5539/jas.v11n9p299

[11]   Santos, J.S.H., Santos, K.T.H., Oliveira, V.S., Santos, G.P., Menezes, L.F.T., Czepak, M.P., Falqueto, A.R., Aoyama, E.M., Schmildt, O. and Schmildt, E.R. (2020) Regression Models for Prediction of Leaf Area in Purple Ipe [Tabebuia impetiginosa (Mart.)]. Australian Journal of Crop Science, 12, 654-659.
https://doi.org/10.21475/ajcs.20.14.04.p2291

[12]   Alvares, C.A., Stape, J.L., Sentelhas, P.C., Gonçalves, J.L.M. and Sparovek, G. (2014) Köppen’s Climate Classification Map for Brazil. Meteorologische Zeitschrift, 22, 711-728.
https://doi.org/10.1127/0941-2948/2013/0507

[13]   Willmott, C.J. (1981) On the Validation of Models. Physical Geography, 2, 184-194.
https://doi.org/10.1080/02723646.1981.10642213

[14]   R Core Team (2020) R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna.

[15]   Ferreira, E.B., Cavalcanti, P.P. and Nogueira, D.A. (2018) Package “ExpDes.pt”.

[16]   Pimentel-Gomes, F. (2009) Curso de estatística experimental. 15th Edition, Fealq, Piracicaba, 451 p.

[17]   Lavanhole, D.F., Oliveira, P.S., Vitória, E.L. and Aoyama, E.M. (2018) Estimativa de área foliar por meio de relações alométricas em Aechmea blanchetiana (Baker) L. B. SM sob distintas condições de luminosidade. Iheringia: Série Botanica, 73, 363-373.
https://doi.org/10.21826/2446-8231201873313

[18]   Antunes, W.C., Pompelli, M.F., Carretero, D.M. and Damatta, F.M. (2008) Allometric Models for Non-Destructive Leaf Area Estimation in Coffee (Coffea arabica and Coffea canephora). Annals of Applied Biology, 153, 33-40.
https://doi.org/10.1111/j.1744-7348.2008.00235.x

[19]   Montero, F.J., Juan, J.A., Cuesta, A. and Brasa, A. (2000) Non Destructive Methods to Estimate Leaf Area in Vitis vinifera L. HortScience, 35, 696-698.
https://doi.org/10.21273/HORTSCI.35.4.696

[20]   Fascella, G., Darwich, S. and Rouphael, Y. (2013) Validation of a Leaf Area Prediction Model Proposed for Rose. Chilean Journal of Agricultural Research, 73, 73-76.
https://doi.org/10.4067/S0718-58392013000100011

 
 
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