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Modelling animal growth in random environments: An application using nonparametric estimation
Patrícia A Filipe1, Carlos A Braumann, Nuno M Brites
1Centro de Investigação em Matemática e Aplicações, Universidade de Évora, Portugal. pasf@uevora.pt
This study uses nonparametric methods to estimate growth model coefficients from nonequidistant bovine data. It assesses previous models and suggests alternatives for analyzing animal growth trajectories.
Area of Science:
- Mathematical Biology
- Biostatistics
- Quantitative Genetics
Background:
- Stochastic differential equations model individual growth in unpredictable environments.
- Accurate estimation of growth model parameters is crucial for biological understanding.
- Previous analyses of bovine growth relied on specific parametric models.
Purpose of the Study:
- To evaluate the adequacy of existing parametric models for bovine weight evolution.
- To explore alternative functional forms for drift and diffusion coefficients.
- To apply nonparametric estimation methods to nonequidistant trajectory data.
Main Methods:
- Utilizing stochastic differential equation (SDE) growth models.
- Employing nonparametric estimation techniques for drift and diffusion coefficients.
- Analyzing multiple, nonequidistant bovine growth trajectories.
Main Results:
- Nonparametric methods provide robust estimation for growth model parameters.
- Assessment of previously used parametric models' suitability for bovine weight data.
- Identification of potential alternative functional forms for model refinement.
Conclusions:
- Nonparametric estimation offers a flexible approach for analyzing complex biological growth data.
- The study provides insights into the adequacy of existing models and suggests avenues for future parametric analysis.
- Findings contribute to a better understanding of individual growth dynamics in stochastic environments.
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