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Physically-constrained evapotranspiration models with machine learning parameterization outperform pure machine
Yeonuk Kim1,2, Monica Garcia3, T Andrew Black4
1Institute for Resources, Environment and Sustainability, University of British Columbia, Vancouver, Canada.
Physics-informed machine learning improves terrestrial evapotranspiration (ET) estimation, especially under extreme conditions. Hybrid models, integrating physical principles, reduce errors by minimizing sensitivity to machine-learned parameters, outperforming pure ML approaches.
Area of Science:
- Environmental Science
- Machine Learning
- Hydrology
Background:
- Terrestrial evapotranspiration (ET) is vital for water, energy, and carbon cycles.
- Pure machine learning (ML) models struggle with ET estimation, particularly under extreme conditions.
- Physics-informed ML, specifically hybrid models, show promise for improved ET accuracy.
Purpose of the Study:
- To investigate the mechanisms behind the improved performance of hybrid ET models.
- To compare six novel hybrid ET models with a pure ML model.
- To identify optimal parameterizations for hybrid ET modeling.
Main Methods:
- Developed six hybrid models integrating different physical ET formulations with the random forest algorithm.
- Trained and compared models using daily ET observations, meteorological data, and satellite remote sensing.
- Analyzed the correlation between model error (RMSE) and sensitivity to machine-learned parameters.
Main Results:
- A strong correlation (r=0.93) was found between ET estimate sensitivity and model error (RMSE).
- Reduced sensitivity to machine-learned parameters minimizes error propagation and enhances model performance.
- The most accurate hybrid model used a novel, stable empirical parameter, outperforming pure ML and other hybrid models.
Conclusions:
- Conventional parameterizations may need reevaluation for optimal integration of physical models with ML.
- Domain knowledge is crucial for developing effective hybrid models.
- This study provides insights for advancing hybrid modeling beyond ET estimation.
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