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Assessing predictability of environmental time series with statistical and machine learning models.
Matthew Bonas1, Abhirup Datta2, Christopher K Wikle3
1Dept. of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, Indiana, USA.
Machine learning and statistical models are compared for environmental forecasting. Statistical models offer formal uncertainty quantification, while machine learning excels in predictive accuracy, suggesting a combined approach is optimal.
Area of Science:
- Environmental statistics
- Machine learning applications
- Scientific modeling
Background:
- Machine learning methods are increasingly popular across scientific disciplines, including environmental statistics.
- Techniques like neural networks and decision trees are now common for environmental process forecasting.
- This trend challenges traditional statistical modeling and necessitates evaluating the role of established methodologies.
Purpose of the Study:
- To investigate the comparative performance of statistical and machine learning models in environmental statistics.
- To assess forecasting skills, uncertainty quantification, and computational efficiency of different modeling approaches.
- To inform the discussion on whether classical statistical methods should be retained or adapted for machine learning contexts.
Main Methods:
- Two time series case studies were conducted.
- Selected models from both statistical and machine learning literature were employed.
- Comparative analysis focused on forecasting accuracy, uncertainty quantification, and computational time.
Main Results:
- Machine learning models generally demonstrated superior forecasting skills.
- Statistical models provided more robust uncertainty quantification.
- Computational time varied significantly between different model types.
Conclusions:
- Neither statistical nor machine learning approaches are universally superior for environmental statistics.
- A hybrid approach, leveraging the strengths of both, may offer the most effective solution.
- Further research is needed to integrate model-based statistical principles with machine learning frameworks.
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