climpred.metrics._msess_murphy¶
-
climpred.metrics.
_msess_murphy
(forecast, verif, dim=None, **metric_kwargs)[source]¶ Murphy’s Mean Square Error Skill Score (MSESS).
where represents the Pearson product-moment correlation coefficient between the forecast and verification data and represents the standard deviation of the verification data over the experimental period. See
conditional_bias
andunconditional_bias
for their respective formulations.- Parameters
forecast (xarray object) – Forecast.
verif (xarray object) – Verification data.
dim (str) – Dimension(s) to perform metric over.
metric_kwargs (dict) – see
pearson_r()
,
- Details:
minimum
-∞
maximum
1.0
perfect
1.0
orientation
positive
- Reference:
Murphy, Allan H. “Skill Scores Based on the Mean Square Error and Their Relationships to the Correlation Coefficient.” Monthly Weather Review 116, no. 12 (December 1, 1988): 2417–24. https://doi.org/10/fc7mxd.