Fitting nonlinear models to the growth of New Zealand White rabbits
DOI:
https://doi.org/10.5433/1679-0359.2024v45n6p1765Keywords:
Diets, Model selection, Statistical modeling.Abstract
This study aimed to assess nonlinear models fit to the growth of New Zealand White rabbits. Rabbit weight was measured every five days between 35 (weaning) and 75 days old (slaughter), in 64 individuals allocated to eight groups and fed a reference diet (REF), simplified and semi-simplified diets consisting of different combinations of three fiber sources: alfalfa hay (AH), cassava leaf meal (CLM) and hay from the upper third of cassava roots (HUTCR). The Santos, Gompertz, Brody, Logistic, Richards and von Bertallanfy models were investigated to determine the best fit based on the model fitting criteria assessed, in addition to identity testing at 5% significance to assess diet feasibility and their effect on animal nutrition. In general, Santos’ model performed best according to the fitting criteria analyzed, obtaining the highest adjusted coefficient of determination ( ) and the lowest values for the Akaike (AIC) and Bayesian information criteria (BIC) and asymptotic index (AI). Analysis of the growth curves showed that REF exhibited the best growth performance in relation to the other diets, while largely CLM-based diets performed poorly, with low asymptotic weight estimates of 1815 to 1908 g. The semi-simplified diet based on HUTCR performed satisfactorily in terms of asymptotic weight estimates (2210 g), making it a feasible alternative for rabbit farming.
Downloads
References
Akaike, H. (1974). A new look at the statistical model identification. IEEE Transactions on Automatic Control, 19(6), 716-723. doi: 10.1109/TAC.1974.1100705 DOI: https://doi.org/10.1109/TAC.1974.1100705
Archontoulis, S. V., & Miguez, F. E. (2015). Nonlinear regression models and applications in agricultural research. Agronomy Journal, 107(2), 786-798. doi: 10.2134/agronj2012.0506 DOI: https://doi.org/10.2134/agronj2012.0506
Bates, D. M., Watt, D. G. (2007) Nonlinear Regression Analysis and Its Applications. (2nd Ed.), Wiley.
Bianco, A. M., & Spano, P. M. (2019). Robust inference for nonlinear regression models. Test, 28(2), 369-398. doi: 10.1007/s11749-017-0570-2 DOI: https://doi.org/10.1007/s11749-017-0570-2
Blasco, A., Nagy, I., & Hernández, P. (2018). Genetics of growth, carcass and meat quality in rabbits. Meat Science, 145(25), 178-185. doi: 10.1016/j.meatsci.2018.06.030 DOI: https://doi.org/10.1016/j.meatsci.2018.06.030
Breusch, T. S., & Pagan, A. R. (1979). A simple test for heteroscedasticity and random coefficient variation. Econometrica: Journal of the Econometric Society, 47(5), 1287-1294. doi: 10.2307/1911963 DOI: https://doi.org/10.2307/1911963
Brito, C. C. R., Silva, J. A. A. da, Ferreira, R. L. C., Souza Santos, E. de, & Ferraz, I. (2007). Growth resulting from the variation and combination of models of Chapman-Richards and Silva-Bailey applied to Leucaena leucocephala (Lam.) of Wit. Ciência Florestal, 17(2), 175-185. doi: 10.5902/198050981949 DOI: https://doi.org/10.5902/198050981949
Brody, S. (1945). Bioenergetics and growth, with special reference to the efficiency complex in domestic animals. Reinhold Publishing Corporation, New York.
Coelho, C. C. G. M., Ferreira, W. M., Mota, K. D. N., Rocha, L. F., Sousa, T. N., Costa, M. B., Jr., Silva, C. C., Neta, & Ferreira, F. N. A. (2016). Digestive and productive utilization of semi-simplified hay diets enriched with vinasse for growing rabbits. Boletim de Indústria Animal, 73(1), 1-8. doi: 10.17523/bia.v73n1p1 DOI: https://doi.org/10.17523/bia.v73n1p1
Corrêa, A. D., Santos, S. R. D., Abreu, C. M. P. D., Jokl, L., & Santos, C. D. D. (2004). Removal of polyphenols of the flour cassava leaves. Food Science and Technology, 24(2), 159-164. doi: 10.1590/S0101-20612004000200001 DOI: https://doi.org/10.1590/S0101-20612004000200001
De Blas, J. C., García, J., Carabaño, R. (2002). Avances en nutrición de conejos. In Asociación Española de Cunicultura, (ASESCU), Anais eletrônicos [Anais]. XXVII Simposio de Cunicultura, Barcelona, España.
De Blas, J. C. & Mateos, G. G. (1998) Feed Formulation. In C. de Blas, J. Wiseman (Eds.), The Nutrition of the Rabbit (Cap 12, pp. 222-232), Commonwealth Agricultural Bureau, Wallingfold. DOI: https://doi.org/10.1079/9781845936693.0222
Drumond, E. S. C., Gonçalves, F. M., Veloso, R. D. C., Amaral, J. M., Balotin, L. V., Pires, A. V., & Moreira, J. (2013). Curvas de crescimento para codornas de corte. Ciência Rural, 43(10), 1872-1877. doi: 10.1590/S0103-84782013001000023 DOI: https://doi.org/10.1590/S0103-84782013001000023
Durbin, J., & Watson, G. S. (1950). Testing for serial correlation in least squares regression: I. Biometrika, 37(3/4), 409-428. doi: 10.1093/biomet/37.3-4.409 DOI: https://doi.org/10.1093/biomet/37.3-4.409
Falcone, D. B., Klinger, A. C. K., Silva, S. S., Adorian, T. J., Toledo, G. S. P., & Silva, L. P. (2023). Can banana peel and sweet potato vines serve as efficient feed ingredients in diets for growing rabbits?. Tropical Animal Health and Production, 55(5), 290. doi: 10.1007/s11250-023-03697-y DOI: https://doi.org/10.1007/s11250-023-03697-y
Fernandes, T. J., Pereira, A. A., Muniz, J. A., & Savian, T. V. (2014). Seleção de modelos não lineares para a descrição das curvas de crescimento do fruto do cafeeiro. Coffee Science, 9(2), 207-215. https://coffeescience.ufla.br/index.php/Coffeescience/article/view/618
Ferreira, A. C. S., Watanabe, P. H., Mendonça, I. B., Ferreira, J. L., Nogueira, B. D., Vieira, A. V., & Freitas, E. R. (2021). Effects of passion fruit seed (Passiflora edulis) on performance, carcass traits, antioxidant activity, and meat quality of growing rabbits. Animal Feed Science and Technology, 275(5), 114888. doi: 10.1016/j.anifeedsci.2021.114888 DOI: https://doi.org/10.1016/j.anifeedsci.2021.114888
Ferreira, D. S. A., Santos, A. L. P. dos, Freitas, J. R. de, Almeida Pereira, M. M. de, Machado, L. C., Costa, M. L. L. da, & Moreira, G. R. (2019). Novo modelo não linear para descrever curvas de crescimento de coelhos da raça Nova Zelândia. Sigmae, 8(2), 522-531. https://publicacoes.unifal-mg.edu.br/revistas/index.php/sigmae/article/view/1011
Ferreira, W. M., & Pereira, R. A. N. (2003). Avanços na nutrição de coelhos - avaliação energética e protéica dos alimentos e necessidades nutricionais. Nutrição animal - Tópicos avançados. Departamento de Tecnologia Rural e Animal, UESB.
Ferreira, W. M., Herrera, A. D. P. N., Scapinello, C., Fontes, D. O., Machado, L. C., & Ferreira, S. R. A. (2007). Digestibilidade aparente dos nutrientes de dietas simplificadas baseadas em forragens para coelhos em crescimento. Arquivo Brasileiro de Medicina Veterinária e Zootecnia, 59(2), 451-458. doi: 10.1590/S0102-09352007000200027 DOI: https://doi.org/10.1590/S0102-09352007000200027
Freitas, A. R. D. (2005). Curvas de crescimento na produção animal. Revista Brasileira de Zootecnia, 34(3), 786-795. doi: 10.1590/S1516-35982005000300010 DOI: https://doi.org/10.1590/S1516-35982005000300010
Laird, A. K. (1965). Dynamics of relative growth. Growth, 29(3), 249-263. https://www.cabdirect.org/cabdirect/abstract/19661402865
Machado, L. C. (2010). Avaliação da parte aérea de cultivares de mandioca, desempenho e digestibilidade em dietas simplificadas e semi-simplificadas com ou sem suplementação enzimática para coelhos em crescimento. Tese de doutorado, Universidade Federal de Minas Gerais, Belo Horizonte, MG, Brasil.
Machado, L. C., Ferreira, W. M., & Scapinello, C. (2012). Apparent digestibility of simplified and semi-simplified diets, with and without addition of enzymes, and nutritional value of fibrous sources for rabbits. Revista Brasileira de Zootecnia, 41(7), 1662-1670. doi: 10.1590/S1516-35982012000700015 DOI: https://doi.org/10.1590/S1516-35982012000700015
Machado, L. C., Ferreira, W. M., Scapinello, C., Padilha, M. T. S., Euler, A. C. C., & Klinger, A. C. K. (2011). Manual de formulação de ração e suplementos para coelhos. Ed. do Autor.
Mello, F. D., Oliveira, C. A., Ribeiro, R. P., Resende, E. K., Povh, J. A., Fornari, D. C., & Streit, D., Jr. (2015). Growth curve by Gompertz nonlinear regression model in female and males in tambaqui (Colossoma macropomum). Anais da Academia Brasileira de Ciências, 87(4), 2309-2315. doi: 10.1590/0001-3765201520140315 DOI: https://doi.org/10.1590/0001-3765201520140315
Miranda, L. F., Frühauf, A. C., Lima, K. P. D., Silva, E. M., & Muniz, J. A. (2021). Nonlinear models to describe the growth of Jatropha plant (Jatropha curcas L.). Revista Ciência Agronômica, 52(4), e20207602. doi: 10.5935/1806-6690.20210061 DOI: https://doi.org/10.5935/1806-6690.20210061
Molina, E., González-Redondo, P., Moreno-Rojas, R., Montero-Quintero, K., Bracho, B., & Sánchez-Urdaneta, A. (2015). Effects of diets with Amaranthus dubius Mart. ex Thell. on performance and digestibility of growing rabbits. World Rabbit Science, 23(1), 9-18. doi: 10.4995/wrs.2015.2071 DOI: https://doi.org/10.4995/wrs.2015.2071
Mota, L. F. M., Coimbra, D. A., Abreu, L. R. A., Costa, L. S., Pires, A. V., Silva, M. A., Bonafé, C. M., Castro, M. R., Lima, H. J. D., & Pinheiro, S. R. F. (2015). Características de desempenho e de carcaça em diferentes genótipos de codornas de corte. Arquivo Brasileiro de Medicina Veterinária e Zootecnia, 67(2), 613-621. doi: 10.1590/1678-7587 DOI: https://doi.org/10.1590/1678-7587
Nelder, J. A. (1961). The fitting of a generalization of the logistic curve. Biometrics, 17(1), 89-110. doi: 10.2307/2527498 DOI: https://doi.org/10.2307/2527498
Oliveira, A. F. G., Scapinello, C., Martins, E. N., Jobim, C. C., Monteiro, A. C., & Figueira, J. L. (2011). Efeito de dietas semi-simplificadas formuladas com subprodutos de mandioca ensilados ou não sobre o desempenho e características de carcaça de coelhos. Acta Scientiarum. Animal Sciences, 33(1), 59-64. doi: 10.4025/actascianimsci.v33i1.9643 DOI: https://doi.org/10.4025/actascianimsci.v33i1.9643
Panik, M. J. (2014). Growth curve modeling: theory and applications. John Wiley & Sons. DOI: https://doi.org/10.1002/9781118763971
R Core Team (2019). R: A language and environment for statistical computing. R Foundation for Statistical Computing.
Ratkowsky, D. A. (1990). Handbook of nonlinear regression models. Marcel Dekker.
Regazzi, A. J. (2003). Teste para verificar a igualdade de parâmetros e a identidade de modelos de regressão não linear. Revista Ceres, 50(287), 9-26. https://locus.ufv.br/items/a82a0680-50bb-43ea-8c03-7315f67c67f2
Richards, F. J. (1959). A flexible growth function for empirical use. Journal of Experimental Botany, 10(2), 290-301. doi: 10.1093/jxb/10.2.290 DOI: https://doi.org/10.1093/jxb/10.2.290
Santana, T. J. S., Scalon, J. D., Bittencourt, T. C. C., & Santana, A. S. A. (2016). A von bertalanffy model with response plateau to describe growth curves of beef cattle. Brazilian Journal of Biometrics, 34(4), 646-655. doi: 200.131.250.9
Santos, A. L. P., Moreira, G. R., Brito, C. C. R., Gomes-Silva, F., Costa, M. L. L., Pimentel, P. G., Cunha, M., Fº., & Mizubuti, I. Y. (2018). Method to generate growth and degrowth models obtained from differential equations applied to agrarian sciences. Semina: Ciências Agrárias, 39(6), 2659-2672. doi: 10.5433/1679-0359.2018v39n6p2659 DOI: https://doi.org/10.5433/1679-0359.2018v39n6p2659
Sarmento, J. L. R., Regazzi, A. J., Sousa, W. H. D., Torres, R. D. A., Breda, F. C., & Menezes, G. R. D. O. (2006). Analysis of the growth curve of Santa Ines sheep. Revista Brasileira de Zootecnia, 35(2), 435-442. doi: 10.1590/S1516-35982006000200014 DOI: https://doi.org/10.1590/S1516-35982006000200014
Scapinello, C., Falco, J. E., Furlan, A. C., & Faria, H. G. (2000). Desempenho de coelhos em crescimento alimentados com diferentes níveis de feno da rama da mandioca (Manihot esculenta, crantz). Ciência Rural, 30(3), 493-497. doi: 10.1590/s1516-35981999000500023 DOI: https://doi.org/10.1590/S0103-84782000000300021
Schwarz, G. (1978). Estimating the dimension of a model. The Annals of Statistics, 6(2), 461-464. doi: 10.1214/aos/1176344136 DOI: https://doi.org/10.1214/aos/1176344136
Shapiro, S. S., & Wilk, M. B. (1965). An analysis of variance test for normality (complete samples). Biometrika, 52(3-4), 591-611. doi: 10.1093/biomet/52.3-4.591 DOI: https://doi.org/10.1093/biomet/52.3-4.591
Silva, L. S. A., Fraga, A. B., Silva, F. D. L. da, Beelen, P. M. G., Oliveira Silva, R. M. de, Tonhati, H., & Costa Barros, C. da. (2012). Growth curve in Santa Inês sheep. Small Ruminant Research, 105(1-3), 182-185. doi: 10.1016/j.smallrumres.2011.11.024 DOI: https://doi.org/10.1016/j.smallrumres.2011.11.024
Teixeira, M. R., Cruz, J. F. D., Faria, H. H. N., Souza, E. S., Carneiro, P. L. S., & Malhado, C. H. M. (2016). Descrição do crescimento de ovinos Santa Inês utilizando modelos não-lineares selecionados por análise multivariada. Revista Brasileira de Saúde e Produção Animal, 17(1), 26-36. doi: 10.1590/S1519-99402016000100003 DOI: https://doi.org/10.1590/S1519-99402016000100003
Teleken, J. T., Galvão, A. C., & Robazza, W. D. S. (2017). Comparing non-linear mathematical models to describe growth of different animals. Acta Scientiarum. Animal Sciences, 39(1), 73-81. doi: 10.4025/actascianimsci.v39i1.31366 DOI: https://doi.org/10.4025/actascianimsci.v39i1.31366
Toledo, G. S. P. D., Eggers, D. P., Silva, L. P. D., Pacheco, P. S., Klinger, A. C. K., Capitânio, J. R., Schmidt. T, & Ortiz, J. (2012). Casca de soja em substituição ao feno de alfafa em dietas fareladas para coelhos em crescimento. Ciência Rural, 42(10), 1896-1900. doi: 10.1590/S0103-84782012001000029 DOI: https://doi.org/10.1590/S0103-84782012001000029
Toral, F. L. B. (2008). Número e intervalo de pesagens para estimação de parâmetros de curvas de crescimento em bovinos. Revista Brasileira de Zootecnia, 37(12), 2120-2128. doi: 10.1590/S1516-35982008001200007 DOI: https://doi.org/10.1590/S1516-35982008001200007
Veloso, R. C., Winkelstroter, L. K., Silva, M. T. P., Pires, A. V., Torres, R. A., Fº., Pinheiro, S. R. F., Costa, L. S., & Amaral, J. M. (2016). Seleção e classificação multivariada de modelos não lineares para frangos de corte. Arquivo Brasileiro de Medicina Veterinária e Zootecnia, 68(1), 191-200. doi: 10.1590/1678-4162-7894 DOI: https://doi.org/10.1590/1678-4162-7894
Von Bertalanffy, L. (1957). Quantitative laws in metabolism and growth. The Quarterly Review of Biology, 32(3), 217-231. doi: 10.1086/401873 DOI: https://doi.org/10.1086/401873
Zardin, A. M. D. S. O., Oliveira, C. A. L. de, Oliveira, S. N. de, Yoshida, G. M., Albuquerque, D. T. de, Campos, C. M. de, & Ribeiro, R. P. (2019). Growth curves by Gompertz nonlinear regression model for male and female Nile tilapias from different genetic groups. Aquaculture, 511(72), 734243. doi: 10.1016/j.aquaculture.2019.734243 DOI: https://doi.org/10.1016/j.aquaculture.2019.734243
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Lucas Silva do Amaral, Guilherme Rocha Moreira, Frank Gomes- Silva, Andre Luiz Pinto dos Santos, Moacyr Cunha Filho, Luiz Carlos Machado, Maria Lindomárcia Leonardo da Costa , Mércia Regina Pereira de Figueiredo, Patrícia Guimarães Pimentel
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Semina: Ciências Agrárias adopts the CC-BY-NC license for its publications, the copyright being held by the author, in cases of republication we recommend that authors indicate first publication in this journal.
This license allows you to copy and redistribute the material in any medium or format, remix, transform and develop the material, as long as it is not for commercial purposes. And due credit must be given to the creator.
The opinions expressed by the authors of the articles are their sole responsibility.
The magazine reserves the right to make normative, orthographic and grammatical changes to the originals in order to maintain the cultured standard of the language and the credibility of the vehicle. However, it will respect the writing style of the authors. Changes, corrections or suggestions of a conceptual nature will be sent to the authors when necessary.