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climpred.metrics._conditional_bias

climpred.metrics._conditional_bias#

climpred.metrics._conditional_bias(forecast: Dataset, verif: Dataset, dim: str | List[str] | None = None, **metric_kwargs: Any) → Dataset[source]#

Conditional bias between forecast and verification data.

\text{conditional bias} = r_{fo} - \frac{\sigma_f}{\sigma_o},

where \sigma_{f} and \sigma_{o} are the standard deviations of the forecast and verification data over the experimental period, respectively.

Parameters:

  • forecast – Forecast.

  • verif – Verification data.

  • dim – Dimension(s) to perform metric over.

  • metric_kwargs – see xskillscore.pearson_r() and std()

Notes

minimum

-∞

maximum

1.0

perfect

0.0

orientation

negative

References

https://www-miklip.dkrz.de/about/murcss/

Example

>>> HindcastEnsemble.verify(
...     metric="conditional_bias",
...     comparison="e2o",
...     alignment="same_verifs",
...     dim="init",
... )
<xarray.Dataset>
Dimensions:  (lead: 10)
Coordinates:
  * lead     (lead) int32 1 2 3 4 5 6 7 8 9 10
    skill    <U11 'initialized'
Data variables:
    SST      (lead) float64 0.1705 0.03435 -0.05988 ... -0.1436 -0.175 -0.1434
Attributes:
    prediction_skill_software:     climpred https://climpred.readthedocs.io/
    skill_calculated_by_function:  HindcastEnsemble.verify()
    number_of_initializations:     64
    number_of_members:             10
    alignment:                     same_verifs
    metric:                        conditional_bias
    comparison:                    e2o
    dim:                           init
    reference:                     []
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