Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10071/31170
Autoria: | Jamba, N. T. Filipe, P. A. Jacinto, G. Braumann, C. A. |
Data: | 2024 |
Título próprio: | Stochastic differential equations mixed model for individual growth with the inclusion of genetic characteristics |
Título da revista: | Statistics, Optimization and Information Computing |
Volume: | 12 |
Número: | 2 |
Paginação: | 298 - 309 |
Referência bibliográfica: | Jamba, N. T., Filipe, P. A., Jacinto, G., & Braumann, C. A. (2024). Stochastic differential equations mixed model for individual growth with the inclusion of genetic characteristic. Statistics, Optimization and Information Computing, 12(2), 298-309. https://dx.doi.org/10.19139/soic-2310-5070-1829 |
ISSN: | 2311-004X |
DOI (Digital Object Identifier): | 10.19139/soic-2310-5070-1829 |
Palavras-chave: | Genetic traits Individual growth Mixed models Stochastic differential equations |
Resumo: | In early work we have studied a class of stochastic differential equation (SDE) models, for which the Gompertz and the Bertalanffy-Richards stochastic models are particular cases, to describe individual growth in random environments, and applied it to model cattle weight evolution using real data. We have started to work on these type of models considering that the model parameters are fixed, i.e. the same for all the animals. Aiming to incorporate variability among individuals, we consider that the model parameters can be random variables, resulting in SDE mixed models. In additon, here we consider SDE mixed models, allowing the parameters to be random and propose to incorporate each animal's genetic characteristics considering the transformed animal's weight at maturity to be a function of its genetic values. The main objective is to extend the SDE mixed model to the more realistic case where the individual genetic value becomes an important component in the estimated growth curve. For the estimation of the model parameters we have used maximum likelihood estimation theory. Estimates and asymptotic confidence intervals of the parameters are presented. A comparison with SDE non-mixed model and SDE mixed model without the inclusion of genetic characteristics is shown with the conclusion that the incorporation of some genetic characteristics in the model parameters improves the estimation of the animal's growth curve. |
Arbitragem científica: | yes |
Acesso: | Acesso Aberto |
Aparece nas coleções: | BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Ficheiros deste registo:
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article_100267.pdf | 380,51 kB | Adobe PDF | Ver/Abrir |
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