Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/36601

Title: Stochastic differential equations mixed model for individual growth with the inclusion of genetic characteristics
Authors: Jamba, Nelson T.
Filipe, Patrícia A.
Jacinto, Gonçalo
Braumann, Carlos A.
Keywords: Genetic traits
Individual Growth
Mixed Models
Stochastic Differential Equations
Issue Date: Mar-2024
Publisher: iapress
Citation: 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 characteristics. Statistics, Optimization & Information Computing, 12(2), 298-309. https://doi.org/10.19139/soic-2310-5070-1829
Abstract: 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.
URI: https://doi.org/10.19139/soic-2310-5070-1829
http://hdl.handle.net/10174/36601
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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