Comparison of non-linear mixed effect models of the growth curve of commercial turkeys

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Ronald Herbé Santos-Ricalde
Juan Gabriel Magaña-Monforte
Luis Sarmiento-Franco
Gaspar Manuel Parra-Bracamonte
Clemente Lemus-Flores
Raúl Avalos-Castro
Jesús Enrique Ek-Mex
José Candelario Segura-Correa

Abstract

The description of the growth curve in domestic animals is of importance in management and economic decision-making. The aim here was to determine the best non-linear mixed model to adjust the growth curve in commercial turkeys. The data come from an intensive turkey farm under a subhumid tropical climate. The live weight records of 266 female and 275 male turkeys, weighed weekly, from birth to 23 weeks, were used. The models of Gompertz, yt = A × exp(-b × exp(-k × t)), and von Bertalanffy, yt = A × (1-b × exp(-k × t))3 were used to estimate parameters and predict the growth curve; where: yt = live weight at the t-th week of age; A = the expected mature weight; b = the integration constant; k = the maturation rate. Six non-linear models using the Gompertz, and von Bertalanffy functions: one with only fixed effects, four mixed models considering the fixed, 1 to 3 random effects, and a last model including the random effect of turkey were used. The analyses were performed using the NLMIXED procedure of SAS, and the selection of the best-fit model was chosen based on the Akaike (AIC) and Bayesian (BIC) information criteria. AIC and BIC values improved with the inclusion of 1 to 3 random effects, in both models for females and males. Based on AIC and BIC criteria, the best mixed NLM was the model that included random effects for A, b, and k. However, the predicted weight values of the mixed models were similar.

Keywords:
Gompertz model von Bertalanffy model Age at maturity Growth rate Tropics

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References

Narinç D, Öksüz Narinç N, Aygün A. Growth curve analyses in poultry science. World Poultry Science Journal. 2017;73(2):1−13. doi: 10.1017/S0043933916001082.

Sogut B, Celik S, Ayasan T, Inci H. Analyzing growth curves of turkeys reared in different breeding systems (intensive and free-range) with some nonlinear models, Brazilian Journal of Poultry Science. 2016;18(4):619−628. doi: 10.1590/1806-9061-2016-0263.

Segura-Correa JC, Santos-Ricalde RH., Palma-Avila, I. Nonlinear model to describe growth curves of commercial turkey in the tropics of Mexico. Brazilian Journal of Poultry Science. 2017;19(1):27−32. doi: 10.1590/1806-9061-2016-0246.

Lindstrom MJ, Bates DM. Nonlinear mixed effects models for repeated measures data. Biometrics, 1990;46;673−687. doi: 10.2307/2532087.

SAS Institute. User´s Guide. Version 9.4. Cary, (NC) USA; 2012.

Ibiapina-Neto V, Vieira-Barbosa FJ, Guimarães-Campelo JE, Rocha Sarmento JL. Non-linear mixed models in the study of growth of naturalized chickens. Revista Brasileira de Zootecnia. 2020;49:e20190201. doi: 10.37496/rbz4920190201.

Galeano-Vasco LF, Cerón-Muñoz MF, Narváez-Solarte W. Ability of non-linear mixed models to predict growth in laying hens. Revista Brasileira de Zootecnia. 2014;43:573−578. doi: 10.1590/S1516-35982014001100003.

ŞengülT, Kiraz S. Non-linear models for growth curves in Large White turkeys. Turkish Journal of Veterinary and Animal Sciences. 2005;29(2):331−337. https://journals.tubitak.gov.tr/veterinary/vol29/iss2/22

National Institute of Geographic Statistics and Informatics. Geographical aspects-Yucatán. CDMX, México. 2021. https://inegi.org.mx/contenidos/app/areasgeograficas/resumen/resumen_31.pdf

Motulsky H, Christopoulos A. Fitting Models to Biological Data using Linear and Nonlinear Regression. A Practical Guide to Curve Fitting. Graph Pad Software Inc. San Diego, California; 2003.

Aggrey SE. Logistic nonlinear mixed effects model for estimating growth parameters. Poultry Science. 2009;88:276−280. doi: 10.3382/ps.2008-00317.

Karaman E, Narinç D, Firat MZ, Aksoy T. Nonlinear mixed effects modeling of growth in Japanese quail. Poultry Science. 2013;92:1942−1948. doi: 10.3382/ps.2012-02896.

Topal M, Bolukbasi ŞC. Comparison of nonlinear growth curve models in broiler chickens. Journal of Applied Animal Research. 2008;34:149–152. doi: 10.1080/09712119.2008.9706960.

Rizzi C, Contiero B Cassandro M. Growth patterns of Italian local chicken populations. Poultry Science. 2013;92:2226–2235. doi: 10.3382/ps.2012-02825.

Juárez-Caratachea A, Delgado-Hurtado I, Gutiérrez-Vázquez E, Salas-Razo G, Ortiz-Rodríguez R, Segura-Correa JC. Describing the growth curve of local turkey using non-linear models. Revista MVZ Córdoba. 2019;24(1):7104−7107. doi: 10.21897/rmvz.1149.

Arando A, González-Ariza A, Lupi S, Nogales TM, León JM, Navas-González FJ, Delgado JV, Camacho ME. Comparison of non-linear models to describe the growth in the Andalusian turkey breed. Italian Journal of Animal Science. 2021;20(1):1156−1167. doi: 10.1080/1828051X.2021.1950054.

Gompertz B. On the nature of the function expressive of the law of human mortality and on a new mode of determining life contingencies. Philosophical Transactions of the Royal Society of London. 1825;15:513–585. doi: 10.1098/rstl.1825.0026.