Methods commonly used to evaluate model performance, include:
- Mean absolute error (MAE)
where N is number of observations, yi the actual expected output and ŷi the model’s prediction (same notations below if not indicated otherwise).
- Mean bias error (MBE)
- Mean square error (MSE)
- Root mean square error (RMSE)
- Coefficient of determination (R2)
where
Combined with plots (e.g. scatter, time series) allows identification of periods when a model performs well/poorly relative to observations. It should be remembered that both the model (e.g. parameters, forcing data) and the evaluation observations have errors.