Growth curves with heteroscedastic errors in modeling the zootechnical performance of rice bran-fed chickens

Authors

DOI:

https://doi.org/10.5902/2179460X88917

Keywords:

Gompertz, Logistics, Nonlinear models, Power, Power of the logarithm, Exponential

Abstract

This study aimed to evaluate the growth curves of Pedrês free-range broiler chickens, fed with brown rice bran and enzyme supplementation, during the rearing period from 1 to 70 days. Over time, the body weight and average feed intake of 300 birds were analyzed using the following regression functions: Gompertz and Logistic, considering four different models for the residual variance. The results showed that both models (Gompertz and Logistic) converged under iterative algorithms in the parameter-estimation process. However, the logistic models with residual-variance modeling yielded the best results, providing more precise and practically meaningful estimates without violating basic assumptions.

Downloads

Download data is not yet available.

Author Biographies

Fabiane da Rocha Farias Lima, Universidade Federal do Acre

Bachelor's and professional master's degrees in Mathematics from the Federal University of Acre (UFAC).

Edcarlos Miranda de Souza, Universidade Federal do Acre

Bachelor's degree in Mathematics from the Universidade Federal do Acre (UFAC), Master's and Doctorate in Statistics and Agricultural Experimentation from the Universidade Federal de Lavras (UFLA). Associate Professor at the Universidade Federal do Acre (UFAC).

Djair da Rocha Farias Frade, Universidade Federal do Acre

Doctor in Statistics and Agronomic Experimentation from the Universidade de São Paulo (USP).

Camila Lustosa, Universidade Federal do Acre

PhD in Statistics and Agronomic Experimentation from the Universidade de São Paulo (USP) and Adjunct Professor at the Universidade Federal do Acre (UFAC).

Henrique Jorge de Freitas, Universidade Federal do Acre

Graduated in Veterinary Medicine from the Universidade Estadual do Ceará (UECE), with a master's and doctorate in Animal Science from the Universidade Federal de Lavras (UFLA), and is a Full Professor at the Universidade Federal do Acre (UFAC).

References

BATES, D. M.; WATTS, D. G. Nonlinear regression analysis and its applications. New York: John Wiley & Sons, 1988.

CARROLL, R. J.; RUPPERT, D. Transformation and weighting in regression. New York: Chapman & Hall, 1988.

FERREIRA, K. et al. Avaliação de modelos de crescimento com erros heterocedásticos de frangos de corte de linhagem caipira alimentados com sorgo. Revista Agrária Acadêmica, v. 4, n. 6, 2022. Disponível em: https://agrariacad.com/2022/01/12/avaliacao-de-modelos-de-crescimento-com-erros-heterocedasticos-de-frangos-de-corte-de-linhagem-caipira-alimentados-com-sorgo/. Acesso em: 19 ago. 2025.

LUSTOSA, C. Desempenho de frangos de corte de linhagem caipira alimentados com farelo de arroz e complexo enzimático. 2018. Dissertação (Mestrado em Sanidade e Produção Animal Sustentável da Amazônia Ocidental) – Universidade Federal do Acre, Rio Branco. Disponível em: http://www2.ufac.br/ppgespa_docs/dissertacoes/dissertacao_camila_lustosa.pdf. Acesso em: 19 ago. 2025.

MORAIS, J. et al. Curva de crescimento de diferentes linhagens de frango de corte caipira. Ciência Rural, v. 45, n. 10, p. 1872–1878, 2015. Disponível em: https://www.scielo.br/j/cr/a/cggyjmfCTpKdXX9NR9XNLbq/. Acesso em: 19 ago. 2025.

NEGREIROS, G. A. et al. Inclusão de sorgo em rações para frangos de corte de linhagem caipira na Amazônia Ocidental. Revista Agrária Acadêmica, v. 3, n. 4, 2020. Disponível em: https://www.researchgate.net/publication/343122501_Inclusao_de_sorgo_em_racoes_para_frangos_de_corte_de_linhagem_caipira_na_Amazonia_Ocidental. Acesso em: 19 ago. 2025.

PINHEIRO, J.; BATES, D.; R CORE TEAM. nlme: linear and nonlinear mixed effects models. Versão 3.1-168, 2025. Disponível em: https://CRAN.R-project.org/package=nlme. DOI: 10.32614/CRAN.package.nlme. Acesso em: 19 ago. 2025.

ROSTAGNO, H. et al. Tabelas brasileiras para aves e suínos: composição de alimentos e exigências nutricionais. Viçosa: UFV, Departamento de Zootecnia, 2017. 66 p. Disponível em: https://edisciplinas.usp.br/pluginfile.php/4532766/mod_resource/content/1/Rostagno%20et%20al%202017.pdf. Acesso em: 19 ago. 2025.

SILVEIRA, F. G. et al. Análise de agrupamento na seleção de modelos de regressão não-lineares para curvas de crescimento de ovinos cruzados. Ciência Rural, v. 41, n. 4, 2011. Disponível em: https://www.scielo.br/j/cr/a/F4jJ8mSsjXxXkvgQXj3y48q/?format=pdf&lang=pt. Acesso em: 19 ago. 2025.

SLOMINSKY, B. B. Recent advances in research on enzymes for poultry diets. Poultry Science, v. 90, p. 2013-2023, 2011. Disponível em: https://www.sciencedirect.com/science/article/pii/S0032579119307369. Acesso em: 19 ago. 2025.

VALENTIM, J. K. et al. Implicações sobre o uso de promotores de crescimento na dieta de frangos de corte. Nutritime – Revista Eletrônica, Viçosa, v. 15, n. 4, p. 8191-8199, 2018. Disponível em: https://nutritime.com.br/wp-content/uploads/2020/02/Artigo-470.pdf. Acesso em: 19 ago. 2025.

Downloads

Published

2026-06-03

Issue

Vol. 48 (2026): Publicação contínua

Section

Statistics

License

Copyright (c) 2026 Ciência e Natura

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

To access the DECLARATION AND TRANSFER OF COPYRIGHT AUTHOR’S DECLARATION AND COPYRIGHT LICENSE click here.

 

Ethical Guidelines for Journal Publication

The Ciência e Natura journal is committed to ensuring ethics in publication and quality of articles. 

Conformance to standards of ethical behavior is therefore expected of all parties involved: Authors, Editors, Reviewers, and the Publisher.

In particular, 

Authors: Authors should present an objective discussion of the significance of research work as well as sufficient detail and references to permit others to replicate the experiments. Fraudulent or knowingly inaccurate statements constitute unethical behavior and are unacceptable. Review Articles should also be objective, comprehensive, and accurate accounts of the state of the art. The Authors should ensure that their work is entirely original works, and if the work and/or words of others have been used, this has been appropriately acknowledged. Plagiarism in all its forms constitutes unethical publishing behavior and is unacceptable. Submitting the same manuscript to more than one journal concurrently constitutes unethical publishing behavior and is unacceptable. Authors should not submit articles describing essentially the same research to more than one journal. The corresponding Author should ensure that there is a full consensus of all Co-authors in approving the final version of the paper and its submission for publication.

Editors: Editors should evaluate manuscripts exclusively on the basis of their academic merit. An Editor must not use unpublished information in the editor's own research without the express written consent of the Author. Editors should take reasonable responsive measures when ethical complaints have been presented concerning a submitted manuscript or published paper.

Reviewers: Any manuscripts received for review must be treated as confidential documents. Privileged information or ideas obtained through peer review must be kept confidential and not used for personal advantage. Reviewers should be conducted objectively, and observations should be formulated clearly with supporting arguments, so that Authors can use them for improving the paper. Any selected Reviewer who feels unqualified to review the research reported in a manuscript or knows that its prompt review will be impossible should notify the Editor and excuse himself from the review process. Reviewers should not consider manuscripts in which they have conflicts of interest resulting from competitive, collaborative, or other relationships or connections with any of the authors, companies, or institutions connected to the papers.