ClimateLearn provides the following metrics for deterministic predictions.

  • Mean squared error (MSE)

  • Mean squared error skill score (MSESS)

  • Mean absolute error (MAE)

  • Root mean squared error (RMSE)

  • Anomaly correlation coefficient (ACC)

  • Pearson’s correlation coefficient (Pearson)

  • Mean bias

  • Normalized root mean squared error (NRMSEs)

  • Normalized root mean squared error in global mean (NRMSEg)

For probabilistic forecasts, the library provides the following metrics.

  • Gaussian continuous ranked probability score (Gaussian CRPS)

  • Gaussian spread

  • Gaussian spread-skill ratio (Gaussian SSR)

We refer to the following sources for the definitions and motivations for these metrics: