Mean Continuous Ranked Probability Skill Score (MCRPSS)
As with error scores, it is useful to look at the MCRPS in the form of a skill score: the mean continuous ranked probability skill score (MCRPSS).
Skill measures forecast performance relative to some reference, like climatology or persistence. A forecast can have skill even when there are forecast errors. In this case we will look at the forecast skill using the climatology as a reference.
Remember that a skill score value of zero indicates no skill over climatology in this case. Positive numbers indicate the forecast system does have skill over climatology.