Application of the Bayesian multi-trait model to estimate genetic covariance and heritability in the evaluation of Coffea canephora in an agroecological-based system
DOI:
https://doi.org/10.4025/actasciagron.v48.i1.77337Palavras-chave:
genetic parameter; conilon; biometrics; inverse wishart; bayesian inferenceResumo
The purpose of this study is to analyze the genetic and residual variability of the grain yield trait in Coffea canephora using the Bayesian multi-trait model. Thirty-six varieties of conilon coffee were used. The design was randomized blocks, with three replications, nine plants per plot. Data was analyzed using multi-trait Bayesian models with an arbitrary number of random effects, employing a Gibbs sampler. The covariance matrix of the random effects is assigned as a prior Inverse Wishart distribution. A total of 1,800,000 samples were generated, with a burn-in of 5,000 and a thin of 5 interactions, resulting in 1,795,000 samples. The broad-sense heritability, residual and genetic variations were calculated from the posterior distribution. The variance-covariance matrix for the genetic factor shows significant variability among the traits. The 95% credibility intervals for the variances and covariances are narrow, indicating accurate estimates. The data is adequate to provide reliable estimates, indicating significant genetic effects on most traits. The residual variance-covariance matrix reveals heteroscedasticity among the traits. According to the results, accurate estimates of broad-sense heritability obtained by the Bayesian methods can guide breeding programs, in addition to identifying traits with high genetic variability and potential for response to selection. The Bayesian approach provided robust and detailed estimates, aligning with previous studies and offering valuable insights for breeding programs.
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Azevedo, C. F., Barreto, C. A. V., Suela, M. M., Nascimento, M., Silva Júnior, A. C., Nascimento, A. C. C., Cruz, C. D., & Soares, P. C. (2023). Updating knowledge in estimating the genetics parameters: Multi-trait and multi-environment Bayesian analysis in rice. Scientia Agricola, 80, 1-11. https://doi.org/10.1590/1678-992X-2022-0056
Azevedo, C. F., Carvalho, I. R., Nascimento, M., Silva, J. A. G., Nascimento, A. C. C., Cruz, C. D., Huth, C., & Alemeida, H. C. F. (2022).Informative prior distribution applied to linseed for the estimation of genetic parameters using a small sample size. Pesquisa Agropecuária Brasileira, 57, 1-10. https://doi.org/10.1590/S1678-3921.pab2022.v57.02793
Casella, G., & Berger, R. (2024). Statistical inference (2nd ed.). Chapman and Hall/CRC. https://doi.org/10.1201/9781003456285
Companhia Nacional de Abastecimento. (2025). Segundo levantamento da safra de café. Acompanhamento da safra brasileira de café. CONAB.
Covre, A. M., Silva, F. A., Oliosi, G., Correa, C. C. G., Viana, A. P., & Partelli, F. L. (2022). Multi-environment and multi-year Bayesian analysis approach in Coffee canephora. Plants, 11(23), 1-14. https://doi.org/10.3390/plants11233274
Cruz, C. D., Carneiro, P. C. S., & Regazzi, A. J. (2014). Modelos biométricos aplicados ao melhoramento genético (3. ed.). UFV.
Dunson, D. B. (2001). Commentary: practical advantages of Bayesian analysis of epidemiologic data. American Journal of Epidemiology, 153(12), 1222-1226. https://doi.org/10.1093/aje/153.12.1222
Ferrão, R. G., Ferrão, M. A. G., Volpi, P. S., Fonseca, A. F. A., Verdin Filho, A. C., & Comério, M. (2017). Cultivares de cafés Conilon e Robusta. Embrapa.
Geweke, J. (1992). Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments. In J. M. Bernardo, J. O. Berger, A. P. Dawid, & A. F. M. Smith (Eds.), Bayesian statistics (v. 4, pp. 625-631). Oxford University Press.
Liang, Y., Nan, W., Qin, X., & Zhang, H. (2021). Field performance on grain yield and quality and genetic diversity of overwintering cultivated rice (Oryza sativa L.) in southwest China. Scientific Reports, 11(1846), 1-16. https://doi.org/10.1038/s41598-021-81291-8
McGuirl, M. R., Smith, S. P., Sandstede, B., & Ramachandran, S. (2020). Detecting shared genetic architecture among multiple phenotypes by hierarchical clustering of gene-level association statistics. Genetics, 215(2), 511-529. https://doi.org/10.1534/genetics.120.303096
Morris, W. K., Vesk, P. A., & McCarthy, M. A. (2013). Profiting from pilot studies: Analysing mortality using Bayesian models with informative priors. Basic and Applied Ecology, 14(1), 81-89. https://doi.org/10.1016/j.baae.2012.11.003
Parvis, M. (1994). Using a-priori information to enhance measurement accuracy. Measurement, 12(3), 237-249. https://doi.org/10.1016/0263-2241(94)90030-2
Peixoto, M. A., Evangelista, J. S. P. C., Coelho, I. F., Alves, R. S., Laviola, B. G., Fonseca e Silva, F., Resende, M. D. V., & Bhering, L. L. (2021). Multiple-trait model through Bayesian inference applied to Jatropha curcas breeding for bioenergy. PLoS ONE, 16(3), 1-11. https://doi.org/10.1371/journal.pone.0247775
Plummer, M., Best, N., Cowles, K., & Vines, K. (2006). CODA: Convergence diagnosis and output analysis for MCMC. R News, 6(1), 7-11.
Silva Júnior, A. C., Sant'Anna, I. C., Silva Siqueira, M. J., Cruz, C. D., Azevedo, C. F., Nascimento, M., & Soares, P. C. (2022). Multi-trait and multi-environment Bayesian analysis to predict the G x E interaction in flood-irrigated rice. PLoS ONE, 17(5), 1-13. https://doi.org/10.1371/journal.pone.0259607
Silva Júnior, A. C., Moura, W. M., Torres, L. G., Santos, I. G., Silva, M. J., Azevedo, C. F., & Cruz, C. D. (2023). Multiple-trait model by Bayesian inference applied to environment efficient Coffea arabica with low-nitrogen nutrient. Bragantia, 82, 1-11. https://doi. org/10.1590/1678-4499.20220157
Silva Júnior, A. C., Costa, W. G., Guimaraes, A. G., Moura, W. M., Campos, L. J. M., Rodrigues, R. C., Bhering, L. L., Cruz, C. D., & Evaristo, A. B. (2024). Bayesian inference applied to soybean grown under different shading levels using the multiple-trait model. Scientia Agricola, 81, 1-7.
Smith, B. J. (2007). Boa: An R package for MCMC output convergence assessment and posterior inference. Journal of Statistical Software, 21(11), 1-37. https://doi.org/10.18637/jss.v021.i11
Torres, L. G., Rodrigues, M. C., Lima, N. L., Trindade, T. F. H., Fonseca e Silva, F., Azevedo, C. F., & DeLima, R. O. (2018). Multi-trait multi-environment Bayesian model reveals G x E interaction for nitrogen use efficiency components in tropical maize. PLoS ONE, 13(6), 1-15. https://doi.org/10.1371/journal.pone.0199492
Volpato, L., Alves, R. S., Teodoro, P. E., Resende, M. D. V., Nascimento, M., Nascimento, A. C. C., Ludke, W. H., Silva, F. L., & Borém, A. (2019). Multi-trait multi-environment models in the genetic selection of segregating soybean progeny. PLoS ONE, 14(4), 1-22. https://doi.org/10.1371/journal.pone.0215315
Yuan, Y., & MacKinnon, D. P. (2009). Bayesian mediation analysis. Psychological Methods, 14(4), 301-322. https://doi.org/10.1037/a0016972
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Copyright (c) 2026 Antônio Carlos Silva Junior, Waldênia de Melo Moura, Sirlene Viana de Faria , Luciana Gomes Soares , Hugo Sebastião Sant’Anna Andrade , Carlos Victor Vieira Queiroz, Isabella Pinto de Oliveira, Cosme Damião Cruz (Autor)

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