Model selection and parameter estimation for dynamic epidemic models via iterated filtering: application to rotavirus
Theresa Stocks1, Tom Britton1, Michael Höhle1
1Department of Mathematics, Stockholm University, 10691 Stockholm, Sweden.
This study introduces a systematic method for selecting variability in dynamic epidemic models, improving infectious disease modeling. It applies iterated filtering to rotavirus data, providing a robust estimate for the basic reproduction number (R0).
Area of Science:
- Epidemiology
- Mathematical Modeling
- Computational Statistics
Background:
- Dynamic models are crucial in infectious disease epidemiology but often incorporate variability subjectively.
- Inference for stochastic transmission models is challenging due to intractable likelihoods from partial observability.
- A systematic approach is needed for model selection and parameter inference in epidemic modeling.
Purpose of the Study:
- To demonstrate a systematic approach for model selection and parameter inference in dynamic epidemic models.
- To address the challenge of adequately including variability in epidemiological models.
- To estimate the basic reproduction number (R0) for rotavirus using German surveillance data.
Main Methods:
- Inference was performed for six partially observed Markov process models with varying levels of assumed variability.
- Iterated filtering methods, implemented in the R package pomp, were used for inference in stochastic transmission models.
- The approach was illustrated using German rotavirus surveillance data from 2001 to 2008.
Main Results:
- A systematic framework for model selection and parameter inference in dynamic epidemic models was demonstrated.
- Practical challenges associated with the iterated filtering methods were discussed.
- A model-based estimate for the basic reproduction number (R0) was calculated using the rotavirus data.
Conclusions:
- The study provides a robust framework for incorporating and selecting variability in epidemic models.
- Iterated filtering offers a viable method for inference in partially observed stochastic epidemic models.
- The findings contribute to more accurate infectious disease modeling and parameter estimation, such as R0.
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