| Autor: |
Saeideh Samani, Ming Ye, Fan Zhang, Yong-zhen Pei, Guo-ping Tang, Ahmed Elshall, Asghar A. Moghaddam |
| Jazyk: |
angličtina |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Water Science and Engineering, Vol 11, Iss 2, Pp 89-100 (2018) |
| Druh dokumentu: |
article |
| ISSN: |
1674-2370 |
| DOI: |
10.1016/j.wse.2018.06.001 |
| Popis: |
This study used the marginal likelihood and Bayesian posterior model probability for evaluation of model complexity in order to avoid using over-complex models for numerical simulations. It focused on investigation of the impacts of prior parameter distributions (involved in calculating the marginal likelihood) on the evaluation of model complexity. We argue that prior parameter distributions should define the parameter space in which numerical simulations are made. New perspectives on the prior parameter distribution and posterior model probability were demonstrated in an example of groundwater solute transport modeling with four models, each simulating four column experiments. The models had different levels of complexity in terms of their model structures and numbers of calibrated parameters. The posterior model probability was evaluated for four cases with different prior parameter distributions. While the distributions substantially impacted model ranking, the model ranking in each case was reasonable for the specific circumstances in which numerical simulations were made. For evaluation of model complexity, it is thus necessary to determine the parameter spaces for modeling, which can be done by conducting numerical simulation and using engineering judgment based on understanding of the system being studied. Keywords: Marginal likelihood, Posterior model probability, Advection-dispersion equation, Mobile-immobile model, Groundwater model |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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