New model of evaluation of sunflower and corn silages by the in vitro gas production technique
DOI:
https://doi.org/10.5433/1679-0359.2020v41n4p1373Keywords:
Alternative feed, Forage, Proposed model, Rumen.Abstract
This study aimed to propose a model called Two-compartment Logistic-von Bertalanffy (LVB) and to identify among the proposed and Two-compartment Logistic (TL) models the one that has the best goodness of fit to the kinetic curve of cumulative gas production (CGP) of sunflower and corn silages alone and combined using the in vitro semi-automated gas production technique. A random block split-plot experimental design was employed in which the inoculums were the blocks, the incubation times were the split-plots, and the experimental diets were: CS - corn silage, SS - sunflower silage (as single roughage), and their mixtures, i.e., 340SS (660 g kg-1 corn silage and 340 g kg-1 sunflower silage) and 660SS (340 g kg-1 corn silage and 660 g kg-1 sunflower silage). The parameters were estimated by the least squares method using the iterative Gauss-Newton process in the software R version 3.4.1. The criteria adopted were: adjusted coefficient of determination (R2adj.), residual mean squares (RMS), mean absolute deviation (MAD), Akaike information criterion (AIC), Bayesian information criterion (BIC), and relative efficiency (RE). The TL model had higher R2adj. values compared to LVB, however, such difference may be considered negligible. The LVB model had RE above one, which indicates it is superior to the TL model, in addition to the lowest RMS, MAD, AIC, and BIC values, The Two-compartment Logistic-von Bertalanffy model had the best fit to describe the CGP over time according to the methodology and conditions of the present study.Downloads
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References
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Fernandes, T. J., Pereira, A. A., Muniz, J. A., & Savian, T. V. (2014). Selection of nonlinear models for the description of the growth curves of coffee fruit. Coffee Science, 9(2), 207-215.
France, J., Dijkstra, J., Dhanoa, M. S., Lopez, S., & Bannink, A. (2000). Estimating the extent of degradation of ruminant feeds from adescription of their gas production profiles observed in vitro: derivation of modelsand other mathematical considerations. British Journal of Nutrition, 83(2), 143-150. doi: 10.1017/S0007114500000180
Koops, W. J. (1986). Multiphasic growth curve analysis. Growth, 50(2), 169-177.
Leite, L. A., Reis, R. B., Pimentel, P. G., Saturnino, H. M., Coelho., S. G., & Moreira, G. R. (2017). Performance of lactating dairy cows fed sunflower or corn silages and concentrate based on citrus pulp or ground corn. Revista Brasileira de Zootecnia, 46(1), 56-64. doi: 10.1590/s1806-92902017000100009
Leite, L. A., Silva, B. O., Reis, R. B., Faria, B. N., Gonçalves, L. C., Coelho, S. G., & Saturnino, H. M. (2006). Sunflower and corn silages in lactating cow diets: intake and digestibility. Arquivo Brasileiro de Medicina Veterinária e Zootecnia, 58(6), 1192-1198. doi: 10.1590/S0102-09352006000600031
Malafaia, P. A. M., Valadares, S. D. C., F., Vieira, R. A. M., Silva, J. D., & Pereira, J. C. (1998). Ruminal kinetics of some feeds investigated by gravimetric and metabolic techniques. Revista Brasileira de Zootecnia, 27(2), 370-380.
Martins, A. D. S., Oliveira, J. R. D., Lederer, M. L., Moletta, J. L., Galetto, S. L., & Pedrosa, V. B. (2014). Glycerol inclusion levels in corn and sunflower silages. Ciência e Agrotecnologia, 38(5), 497-505. doi: 10.1590/S1413-70542014000500009
Martins, S. C. D. S. G., Rocha, V. R., Jr., Caldeira, L. A., Pires, D. A. D. A., Barros, I. C., Sales, E. C. J. D., & Oliveira, C. R. D. (2011). Intake, digestibility, milk production and economic analysis of diets with different forages. Revista Brasileira de Saúde e Produção Animal, 12(3), 691-708.
Maurício, R. M., Mould, F. L., & Dhanoa, M. S. (1999). A semi-automated in vitro gas production technique for ruminants fedstuff evaluation. Animal Feed Science and Technology, 79(4), 321-330. doi: 10.1016/S0377-8401(99)00033-4
Maurício, R. M., Pereira, L. G. R., Gonçalves, L. C., Rodriguez, N. M., Martins, R. G. R., & Rodrigues, J. A. S. (2003). Potencial da técnica in vitro semi-automática de produção de gases para avaliação de silagens de sorgo (Sorghum bicolor (L.) Moench). Revista Brasileira de Zootecnia, 32(4), 1013-1020. doi: http://dx.doi.org/10.1590/S1516-35982003000400029
Mello, R., Magalhães, A. L. R., Breda, F. C., & Regazzi, A. J. (2008). Models for fit of gas production in sunflower and corn silages. Pesquisa Agropecuária Brasileira, 43(2), 261-269. doi: 10.1590/S0100-204X2008000200016
National Research Council (2001). Nutrient requirements of dairy cattle (7nd ed. rev.). Washington, DC: National Academy of Science.
Pasternak, H., & Shalev, B. A. (1994). The effect of a feature of regression disturbance on the efficiency of fitting growth curves. Growth, Development and Aging, 58(1), 33-39.
Pereira, D. R. M., Godoy, M. M., Sampaio, C. C., Silva, T. V., Felix, M. J. D., & Oliveira, R. L. R. (2016). Uso do girassol (Helianthus annuus) na alimentação animal: aspectos produtivos e nutricionais. Veterinária e Zootecnia, 23(2), 174-183.
Pires, L. C., Machado, T. M. M., Carneiro, P. L. S., Silva, J. B. L. da, Holanda Barbosa, A. D. de, & Almeida Torres, R. de. (2017). Growth curve of repartida goats reared in the caatinga region, brazil. Semina: Ciências Agrárias, 38(2), 1041-1050. doi: 10.5433/1679-0359.2017v38n2p1041
R Development Core Team (2017). R: A language and environment for statistical computing. Vienna: R Foundation for Statistical Computing. Retrieved from http://www.r-project.org
Ricacheski, S. T., Henrique, D. S., Mayer, L. R. R., Oliveira, J. G., Rosler, J. A., & Fluck, A. C. (2017). Chemical composition and ruminal degradation kinetics of White oat (Avena sativa L.) IPR 126. Revista Brasileira de Saúde e Produção Animal, 18(1), 50-61. doi: 10.1590/S1519-99402017000100006
Santos, A. L. P., Moreira, G. R., Brito, C. C. R., Silva, F. S. G., Costa, M. L. L., Pimentel, P. G., & 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
Schofield, P., Pitt, R. E., & Pell, A. N. (1994). Kinetics of fiber digestion from in vitro gas production. Journal of Animal Science, 72(11), 2980-2991. doi: 10.2527/1994.72112980x
Sniffen, C. J., O’Connor, J. D., Van Soest, P. J., Fox, D. G., & Russel, J. B. (1992). A net carbohydrate and protein system for evaluating cattle diets: II. Carbohydrate and protein availability. Journal of Animal Science, 70(11), 3562-3577. doi: 10.2527/1992.70113562x
Souza, G. S. (1998). Introdução aos modelos de regressão linear e não linear. Brasília: EMBRAPA SPI/EMBRAPA-SEA.
Theodorou, M. K., Williams, B. A., Dhanoa, M. S., Mcallan, A. B., & France, J. (1994). A simple gas production method using a pressure transducer to determine the fermentation kinetics of ruminant feed. Animal Feed Science and Technology, 48(1), 185-197. doi: 10.1016/0377-8401(94)90171-6
Viana, P. T., Pires, A. J. V., Oliveira, L. B., Carvalho, G. G. P., Ribeiro, L. S. O., Chagas, D. M. T., & Carvalho, A. O. (2012). Fractioning of carbohydrates and protein of silages of different forages. Revista Brasileira de Zootecnia, 41(2), 292-297. doi: 10.1590/S1516-35982012000200009
Wanderley, W. L., Ferreira, M. D. A., Batista, A. M. V., Veras, A. S. C., Bispo, S. V., Silva, F. M. D., & Santos, V. L. F. (2012). Intake, digestibility and ruminal measures in sheep feed silage and hay in association with cactus pear. Revista Brasileira de Saúde e Produção Animal, 13(2), 444-456.
Wang, M., Tang, S., & Tan, Z. (2011). Modeling in vitro gas production kinetics: Derivation oflogistic-exponential (le) equations and comparison of models. Animal Feed Scienceand Technology, 165(3-4), 137-150. doi: 10.1016/j.anifeedsci.2010.09.016
Bertalanffy, L. V. (1957). Quantitative laws in metabolism and growth. The Quarterly Review of Biology, 32(3), 217-230. doi: 10.1086/401873
Costa, R. V., Silva, J. A., Galati, R. L., Silva, C. G. M., & Duarte, M. F. Jr. (2015). Girassol (Helianthus annuus L.) e seus coprodutos na alimentação animal. Publicações em Medicina Veterinária e Zootecnia, 9(7), 303-320.
Fernandes, T. J., Pereira, A. A., Muniz, J. A., & Savian, T. V. (2014). Selection of nonlinear models for the description of the growth curves of coffee fruit. Coffee Science, 9(2), 207-215.
France, J., Dijkstra, J., Dhanoa, M. S., Lopez, S., & Bannink, A. (2000). Estimating the extent of degradation of ruminant feeds from adescription of their gas production profiles observed in vitro: derivation of modelsand other mathematical considerations. British Journal of Nutrition, 83(2), 143-150. doi: 10.1017/S0007114500000180
Koops, W. J. (1986). Multiphasic growth curve analysis. Growth, 50(2), 169-177.
Leite, L. A., Reis, R. B., Pimentel, P. G., Saturnino, H. M., Coelho., S. G., & Moreira, G. R. (2017). Performance of lactating dairy cows fed sunflower or corn silages and concentrate based on citrus pulp or ground corn. Revista Brasileira de Zootecnia, 46(1), 56-64. doi: 10.1590/s1806-92902017000100009
Leite, L. A., Silva, B. O., Reis, R. B., Faria, B. N., Gonçalves, L. C., Coelho, S. G., & Saturnino, H. M. (2006). Sunflower and corn silages in lactating cow diets: intake and digestibility. Arquivo Brasileiro de Medicina Veterinária e Zootecnia, 58(6), 1192-1198. doi: 10.1590/S0102-09352006000600031
Malafaia, P. A. M., Valadares, S. D. C., F., Vieira, R. A. M., Silva, J. D., & Pereira, J. C. (1998). Ruminal kinetics of some feeds investigated by gravimetric and metabolic techniques. Revista Brasileira de Zootecnia, 27(2), 370-380.
Martins, A. D. S., Oliveira, J. R. D., Lederer, M. L., Moletta, J. L., Galetto, S. L., & Pedrosa, V. B. (2014). Glycerol inclusion levels in corn and sunflower silages. Ciência e Agrotecnologia, 38(5), 497-505. doi: 10.1590/S1413-70542014000500009
Martins, S. C. D. S. G., Rocha, V. R., Jr., Caldeira, L. A., Pires, D. A. D. A., Barros, I. C., Sales, E. C. J. D., & Oliveira, C. R. D. (2011). Intake, digestibility, milk production and economic analysis of diets with different forages. Revista Brasileira de Saúde e Produção Animal, 12(3), 691-708.
Maurício, R. M., Mould, F. L., & Dhanoa, M. S. (1999). A semi-automated in vitro gas production technique for ruminants fedstuff evaluation. Animal Feed Science and Technology, 79(4), 321-330. doi: 10.1016/S0377-8401(99)00033-4
Maurício, R. M., Pereira, L. G. R., Gonçalves, L. C., Rodriguez, N. M., Martins, R. G. R., & Rodrigues, J. A. S. (2003). Potencial da técnica in vitro semi-automática de produção de gases para avaliação de silagens de sorgo (Sorghum bicolor (L.) Moench). Revista Brasileira de Zootecnia, 32(4), 1013-1020. doi: http://dx.doi.org/10.1590/S1516-35982003000400029
Mello, R., Magalhães, A. L. R., Breda, F. C., & Regazzi, A. J. (2008). Models for fit of gas production in sunflower and corn silages. Pesquisa Agropecuária Brasileira, 43(2), 261-269. doi: 10.1590/S0100-204X2008000200016
National Research Council (2001). Nutrient requirements of dairy cattle (7nd ed. rev.). Washington, DC: National Academy of Science.
Pasternak, H., & Shalev, B. A. (1994). The effect of a feature of regression disturbance on the efficiency of fitting growth curves. Growth, Development and Aging, 58(1), 33-39.
Pereira, D. R. M., Godoy, M. M., Sampaio, C. C., Silva, T. V., Felix, M. J. D., & Oliveira, R. L. R. (2016). Uso do girassol (Helianthus annuus) na alimentação animal: aspectos produtivos e nutricionais. Veterinária e Zootecnia, 23(2), 174-183.
Pires, L. C., Machado, T. M. M., Carneiro, P. L. S., Silva, J. B. L. da, Holanda Barbosa, A. D. de, & Almeida Torres, R. de. (2017). Growth curve of repartida goats reared in the caatinga region, brazil. Semina: Ciências Agrárias, 38(2), 1041-1050. doi: 10.5433/1679-0359.2017v38n2p1041
R Development Core Team (2017). R: A language and environment for statistical computing. Vienna: R Foundation for Statistical Computing. Retrieved from http://www.r-project.org
Ricacheski, S. T., Henrique, D. S., Mayer, L. R. R., Oliveira, J. G., Rosler, J. A., & Fluck, A. C. (2017). Chemical composition and ruminal degradation kinetics of White oat (Avena sativa L.) IPR 126. Revista Brasileira de Saúde e Produção Animal, 18(1), 50-61. doi: 10.1590/S1519-99402017000100006
Santos, A. L. P., Moreira, G. R., Brito, C. C. R., Silva, F. S. G., Costa, M. L. L., Pimentel, P. G., & 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
Schofield, P., Pitt, R. E., & Pell, A. N. (1994). Kinetics of fiber digestion from in vitro gas production. Journal of Animal Science, 72(11), 2980-2991. doi: 10.2527/1994.72112980x
Sniffen, C. J., O’Connor, J. D., Van Soest, P. J., Fox, D. G., & Russel, J. B. (1992). A net carbohydrate and protein system for evaluating cattle diets: II. Carbohydrate and protein availability. Journal of Animal Science, 70(11), 3562-3577. doi: 10.2527/1992.70113562x
Souza, G. S. (1998). Introdução aos modelos de regressão linear e não linear. Brasília: EMBRAPA SPI/EMBRAPA-SEA.
Theodorou, M. K., Williams, B. A., Dhanoa, M. S., Mcallan, A. B., & France, J. (1994). A simple gas production method using a pressure transducer to determine the fermentation kinetics of ruminant feed. Animal Feed Science and Technology, 48(1), 185-197. doi: 10.1016/0377-8401(94)90171-6
Viana, P. T., Pires, A. J. V., Oliveira, L. B., Carvalho, G. G. P., Ribeiro, L. S. O., Chagas, D. M. T., & Carvalho, A. O. (2012). Fractioning of carbohydrates and protein of silages of different forages. Revista Brasileira de Zootecnia, 41(2), 292-297. doi: 10.1590/S1516-35982012000200009
Wanderley, W. L., Ferreira, M. D. A., Batista, A. M. V., Veras, A. S. C., Bispo, S. V., Silva, F. M. D., & Santos, V. L. F. (2012). Intake, digestibility and ruminal measures in sheep feed silage and hay in association with cactus pear. Revista Brasileira de Saúde e Produção Animal, 13(2), 444-456.
Wang, M., Tang, S., & Tan, Z. (2011). Modeling in vitro gas production kinetics: Derivation oflogistic-exponential (le) equations and comparison of models. Animal Feed Scienceand Technology, 165(3-4), 137-150. doi: 10.1016/j.anifeedsci.2010.09.016
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2020-05-13
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Santos, A. L. P. dos, Brito, C. C. R. de, Moreira, G. R., Gomes-Silva, F., Cunha Filho, M., Costa, M. L. da, … Figueiredo, M. R. de. (2020). New model of evaluation of sunflower and corn silages by the in vitro gas production technique. Semina: Ciências Agrárias, 41(4), 1373–1384. https://doi.org/10.5433/1679-0359.2020v41n4p1373
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