Nonlinear models to describe height and diameter of sugarcane RB92579 variety

Sérgio Alberto Jane, Felipe Augusto Fernandes, Joel Augusto Muniz, Tales Jesus Fernandes

Resumo


Brazil is the world’s largest sugarcane producer (Saccharum spp.), followed by India and China. In 2019, Brazil produced 642.7 million tons of sugarcane, having collected 1.44 billion and 983.52 million dollars from sugar and ethanol exports, respectively. For crop management, it is important to monitor plant growth, duration of growth phases and point of physiological maturation. The aim of this study was to evaluate the fit of nonlinear Logistic, Gompertz, Brody and von Bertalanffy models to the height and diameter growth of ratoon cane stalk RB92579 variety, considering age in days. The parameters of models were estimated using R software routines, applying the least squares method and the iterative Gauss-Newton process. The adjustment of models was compared using the following evaluators: determination coefficient (R2), residual standard deviation (RSD) and corrected Akaike information criterion (AICc). In all models, parameters were significant by the t test at 1% level, except for the Brody model. When using the Shapiro-Wilk, Durbin-Watson and Breusch-Pagan tests, it was found that residues were normal, homoscedastic and independent at 1% significance level. All models fitted well to data, except for the Brody model for stalk height. Based on results, the Gompertz and Logistic models presented higher R2 values and lower RSD and AICc values; thus, it could be concluded that these models are suitable to describe the height and diameter of sugarcane RB92579 cultivar, respectively.

Palavras-chave


Growth curves; Logistic; Gompertz

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Referências


ARCHONTOULIS, S. V.; MIGUEZ, F. E. Nonlinear regression models and applications in agricultural research. Agronomy Journal, v. 107, n. 2, p. 786-798, 2015.

BATISTA, E. L. da S. et al. Modelagem do crescimento de cultivares de cana-de-açúcar no período de formação da cultura. Revista Brasileira de Engenharia Agrícola e Ambiental, v. 17, n. 10, p. 1080-1087, 2013.

BEM, C. M. de et al. Univariate and multivariate nonlinear models in productive traits of the sunn hemp. Revista Ciência Agronômica, v. 51, n. 1, e20196673, 2020.

CAPONE, A. et al. Avaliação do comportamento de quinze cultivares de cana-de-açúcar na Região Sul do Tocantins. Journal of Biotechnology and Biodiversity, v. 2, n. 3, p. 72-80, 2011.

CARNEIRO, A. P. S. et al. Identidade de modelos não lineares para comparar curvas de crescimento de bovinos da raça Tabapuã. Pesquisa Agropecuária Brasileira, v. 49, n. 1, p. 57-62, 2014.

COMPANHIA NACIONAL DE ABASTECIMENTO (BRASIL). Acompanhamento da safra brasileira: cana-de-açúcar: quarto levantamento: safra 2019-2020. v. 6, n. 4, 2020.

COSTA, C. T. S. et al. Crescimento e produtividade de quatro variedades de cana-de-açúcar no quarto ciclo de cultivo. Revista Caatinga, v. 24, n. 3, p. 56-63, 2011.

FERNANDES, T. J. et al. Parametrization effects in nonlinear models to describe growth curves. Acta Scientiarum. Technology, v. 37, n. 4, p. 397-402, 2015.

FERNANDES, T. J. et al. Seleção de modelos não lineares para a descriação das curvas de crescimento do fruto do cafeeiro. Coffee Science, v. 9, n. 2, p. 207-215, 2014.

FERNÁNDEZ-CHUAIREY, L. et al. Statistical-mathematical modeling in agrarian processes: an application in agricultural engineering. Revista Ciencias Técnicas Agropecuarias, v. 28, n. 2, p. 1-7, 2019.

JANE, S. A. et. al. Adjusting the growth curve of sugarcane varieties using nonlinear models. Ciência Rural, v. 50, n. 3, e20190408, 2020.

MAMET, L. D.; GALWEY N. W. A relationship between stalk elongation and earliness of ripening in sugarcane. Experimental Agriculture, v. 35, p. 283-291, 1999.

MCMARTIN, A. The logistic curve of plant growth and its application to sugarcane. Proceedings of The South African Sugar Technologist` Association, v. 53, p. 189-93, 1979.

MIRAJKAR S. J. et al. Sugarcane (Saccharum spp.): breeding and genomics. In: AL-KHAYRI, J. M. et al. Advances in plant breeding strategies: industrial and food crops. 6. ed. Switzerland: Springer, 2019. cap. 11, p. 363-406.

MUIANGA, C. A. et al. Descrição da curva de crescimento de frutos do cajueiro por modelos não lineares. Revista Brasileira de Fruticultura, v. 38, n. 1, p. 22-32, 2016.

MUNIZ, J. A.; NASCIMENTO, M. da S.; FERNANDES, T. J. Nonlinear models for description of cacao fruit growth with assumption violations. Revista Caatinga, v. 30, n. 1, p. 250-257, 2017.

OLIVEIRA, A. R. de; BRAGA, M. B.; WALKER, A. M. Comportamento vegetativo e qualidade tecnológica de cultivares de cana-de-açúcar submetidas ao estresse hídrico em condições Semiáridas do Brasil. Revista Brasileira de Geografia Física, v. 8, p. 525-541, 2015. Número especial (IV SMUD).

OLIVEIRA, E. C. A. de et al. Crescimento e acúmulo de matéria seca em variedades de cana-de-açúcar cultivadas sob irrigação plena. Revista Brasileira de Engenharia Agrícola e Ambiental, v. 14, n. 9, p. 951-960, 2010.

PRADO, T. K. L. et al. Ajuste dos modelos Gompertz e Logístico aos dados de crescimento de frutos de coqueiro anão verde. Ciência Rural, v. 43, n. 5, p. 803-809, 2013.

PRADO, T. K. L. et al. Study of the growth curve of the internal cavity of fruit dwarf green coconut. Revista Ciência Agronômica, v. 51, n. 3, e20154591, 2020.

R CORE TEAM. R: a language and environment for statistical computing. Vienna, Austria, 2018. Disponível em: https://www.R-project.org/. Acesso em: 2 jul. 2018.

RIBEIRO, T. D. et al. Description of the growth of pequi fruits by nonlinear models. Revista Brasileira de Fruticultura, v. 40, n. 4, e-949, 2018a.

RIBEIRO, T. D. et al. The use of the nonlinear models in the growth of pears of ‘Shinseiki’ cultivar. Ciência Rural, v. 48, n. 1, e20161097, 2018b.

SANTOS, V. R. et al. Growth and yield of sugarcane under different phosphorus sources. Revista Brasileira de Engenharia Agrícola e Ambiental, v. 13, n. 4, p. 389-396, 2009.

SAVIAN, T. V.; MUNIZ, J. A. A study of in situ degradability: heterogeneity of variances and correlated errors. Scientia Agricola, v. 64, n. 5, p. 548-554, 2007.

SILVA, É. M. da et al. Description of blackberry fruit growth by nonlinear regression models. Revista Brasileira de Fruticultura, v. 42, n. 2, e-177, 2020.

SILVA, T. G. F. da et al. Biometria da parte aérea da cana soca irrigada no Submédio do Vale do São Francisco. Revista Ciência Agronômica, v. 43, n. 3, p. 500-509, 2012.

SOUSA, I. F. et al. Fitting nonlinear autoregressive models to describe coffee seed germination. Ciência Rural, v. 44, n. 11, p. 2016-2021, 2014.




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