Open challenger datasets

import oceanbench

oceanbench.__version__

'0.1.4'

Insert here the code that opens the challenger dataset as challenger_dataset: xarray.Dataset

# SPDX-FileCopyrightText: 2025 Mercator Ocean International <https://www.mercator-ocean.eu/>
#
# SPDX-License-Identifier: EUPL-1.2

# Open XiHe forecasts with xarray
import xarray
import oceanbench

challenger_dataset: xarray.Dataset = oceanbench.datasets.challenger.xihe()

challenger_dataset

<xarray.Dataset> Size: 2TB
Dimensions:             (first_day_datetime: 52, lead_day_index: 10, depth: 23,
                         latitude: 2041, longitude: 4320)
Coordinates:
  * depth               (depth) float64 184B 0.494 2.646 5.078 ... 541.1 643.6
  * latitude            (latitude) float32 8kB -80.0 -79.92 ... 89.92 90.0
  * lead_day_index      (lead_day_index) int64 80B 0 1 2 3 4 5 6 7 8 9
  * longitude           (longitude) float32 17kB -180.0 -179.9 ... 179.8 179.9
  * first_day_datetime  (first_day_datetime) datetime64[us] 416B 2024-01-03 ....
Data variables:
    so                  (first_day_datetime, lead_day_index, depth, latitude, longitude) float32 422GB dask.array<chunksize=(1, 1, 1, 75, 4320), meta=np.ndarray>
    thetao              (first_day_datetime, lead_day_index, depth, latitude, longitude) float32 422GB dask.array<chunksize=(1, 1, 1, 75, 4320), meta=np.ndarray>
    uo                  (first_day_datetime, lead_day_index, depth, latitude, longitude) float32 422GB dask.array<chunksize=(1, 1, 1, 75, 4320), meta=np.ndarray>
    vo                  (first_day_datetime, lead_day_index, depth, latitude, longitude) float32 422GB dask.array<chunksize=(1, 1, 1, 75, 4320), meta=np.ndarray>
    zos                 (first_day_datetime, lead_day_index, latitude, longitude) float32 18GB dask.array<chunksize=(1, 1, 75, 4320), meta=np.ndarray>
Attributes:
    oceanbench_source_kind:  challenger
    oceanbench_source_name:  xihe

xarray.Dataset

• Dimensions:
  • first_day_datetime: 52
  • lead_day_index: 10
  • depth: 23
  • latitude: 2041
  • longitude: 4320
• Coordinates: (5)
  • depth
    (depth)
    float64
    0.494 2.646 5.078 ... 541.1 643.6

    long_name :

    Depth

    standard_name :

    depth

    units :

    m

    units_long :

    Meters

    array([4.940000e-01, 2.645700e+00, 5.078200e+00, 7.929600e+00, 1.140500e+01,
           1.581010e+01, 2.159880e+01, 2.944470e+01, 4.034410e+01, 5.576430e+01,
           7.785390e+01, 9.232610e+01, 1.097293e+02, 1.306660e+02, 1.558507e+02,
           1.861256e+02, 2.224752e+02, 2.660403e+02, 3.181274e+02, 3.802130e+02,
           4.539377e+02, 5.410889e+02, 6.435668e+02])

  • latitude
    (latitude)
    float32
    -80.0 -79.92 -79.83 ... 89.92 90.0

    axis :

    Y

    long_name :

    Latitude

    standard_name :

    latitude

    units :

    degrees_north

    units_long :

    Degrees North

    array([-80.      , -79.916664, -79.833336, ...,  89.833336,  89.916664,
            90.      ], shape=(2041,), dtype=float32)

  • lead_day_index
    (lead_day_index)
    int64
    0 1 2 3 4 5 6 7 8 9

    array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])

  • longitude
    (longitude)
    float32
    -180.0 -179.9 ... 179.8 179.9

    axis :

    X

    long_name :

    Longitude

    standard_name :

    longitude

    units :

    degrees_east

    units_long :

    Degrees East

    array([-180.     , -179.91667, -179.83333, ...,  179.75   ,  179.83333,
            179.91667], shape=(4320,), dtype=float32)

  • first_day_datetime
    (first_day_datetime)
    datetime64[us]
    2024-01-03 ... 2024-12-25

    array(['2024-01-03T00:00:00.000000', '2024-01-10T00:00:00.000000',
           '2024-01-17T00:00:00.000000', '2024-01-24T00:00:00.000000',
           '2024-01-31T00:00:00.000000', '2024-02-07T00:00:00.000000',
           '2024-02-14T00:00:00.000000', '2024-02-21T00:00:00.000000',
           '2024-02-28T00:00:00.000000', '2024-03-06T00:00:00.000000',
           '2024-03-13T00:00:00.000000', '2024-03-20T00:00:00.000000',
           '2024-03-27T00:00:00.000000', '2024-04-03T00:00:00.000000',
           '2024-04-10T00:00:00.000000', '2024-04-17T00:00:00.000000',
           '2024-04-24T00:00:00.000000', '2024-05-01T00:00:00.000000',
           '2024-05-08T00:00:00.000000', '2024-05-15T00:00:00.000000',
           '2024-05-22T00:00:00.000000', '2024-05-29T00:00:00.000000',
           '2024-06-05T00:00:00.000000', '2024-06-12T00:00:00.000000',
           '2024-06-19T00:00:00.000000', '2024-06-26T00:00:00.000000',
           '2024-07-03T00:00:00.000000', '2024-07-10T00:00:00.000000',
           '2024-07-17T00:00:00.000000', '2024-07-24T00:00:00.000000',
           '2024-07-31T00:00:00.000000', '2024-08-07T00:00:00.000000',
           '2024-08-14T00:00:00.000000', '2024-08-21T00:00:00.000000',
           '2024-08-28T00:00:00.000000', '2024-09-04T00:00:00.000000',
           '2024-09-11T00:00:00.000000', '2024-09-18T00:00:00.000000',
           '2024-09-25T00:00:00.000000', '2024-10-02T00:00:00.000000',
           '2024-10-09T00:00:00.000000', '2024-10-16T00:00:00.000000',
           '2024-10-23T00:00:00.000000', '2024-10-30T00:00:00.000000',
           '2024-11-06T00:00:00.000000', '2024-11-13T00:00:00.000000',
           '2024-11-20T00:00:00.000000', '2024-11-27T00:00:00.000000',
           '2024-12-04T00:00:00.000000', '2024-12-11T00:00:00.000000',
           '2024-12-18T00:00:00.000000', '2024-12-25T00:00:00.000000'],
          dtype='datetime64[us]')

• Data variables: (5)
  • so
    (first_day_datetime, lead_day_index, depth, latitude, longitude)
    float32
    dask.array<chunksize=(1, 1, 1, 75, 4320), meta=np.ndarray>

    standard_name :

    sea_water_salinity

    Array Chunk Bytes 392.84 GiB 1.24 MiB Shape (52, 10, 23, 2041, 4320) (1, 1, 1, 75, 4320) Dask graph 334880 chunks in 157 graph layers Data type float32 numpy.ndarray

  • thetao
    (first_day_datetime, lead_day_index, depth, latitude, longitude)
    float32
    dask.array<chunksize=(1, 1, 1, 75, 4320), meta=np.ndarray>

    standard_name :

    sea_water_potential_temperature

    Array Chunk Bytes 392.84 GiB 1.24 MiB Shape (52, 10, 23, 2041, 4320) (1, 1, 1, 75, 4320) Dask graph 334880 chunks in 157 graph layers Data type float32 numpy.ndarray

  • uo
    (first_day_datetime, lead_day_index, depth, latitude, longitude)
    float32
    dask.array<chunksize=(1, 1, 1, 75, 4320), meta=np.ndarray>

    standard_name :

    eastward_sea_water_velocity

    Array Chunk Bytes 392.84 GiB 1.24 MiB Shape (52, 10, 23, 2041, 4320) (1, 1, 1, 75, 4320) Dask graph 334880 chunks in 157 graph layers Data type float32 numpy.ndarray

  • vo
    (first_day_datetime, lead_day_index, depth, latitude, longitude)
    float32
    dask.array<chunksize=(1, 1, 1, 75, 4320), meta=np.ndarray>

    standard_name :

    northward_sea_water_velocity

    Array Chunk Bytes 392.84 GiB 1.24 MiB Shape (52, 10, 23, 2041, 4320) (1, 1, 1, 75, 4320) Dask graph 334880 chunks in 157 graph layers Data type float32 numpy.ndarray

  • zos
    (first_day_datetime, lead_day_index, latitude, longitude)
    float32
    dask.array<chunksize=(1, 1, 75, 4320), meta=np.ndarray>

    standard_name :

    sea_surface_height_above_geoid

    Array Chunk Bytes 17.08 GiB 1.24 MiB Shape (52, 10, 2041, 4320) (1, 1, 75, 4320) Dask graph 14560 chunks in 157 graph layers Data type float32 numpy.ndarray

• Indexes: (5)
  • depth
    PandasIndex

    PandasIndex(Index([   0.494,   2.6457,   5.0782,   7.9296,   11.405,  15.8101,  21.5988,
            29.4447,  40.3441,  55.7643,  77.8539,  92.3261, 109.7293,  130.666,
           155.8507, 186.1256, 222.4752, 266.0403, 318.1274,  380.213, 453.9377,
           541.0889, 643.5668],
          dtype='float64', name='depth'))

  • latitude
    PandasIndex

    PandasIndex(Index([             -80.0, -79.91666412353516, -79.83333587646484,
                       -79.75, -79.66666412353516, -79.58333587646484,
                        -79.5, -79.41666412353516, -79.33333587646484,
                       -79.25,
           ...
                        89.25,  89.33333587646484,  89.41666412353516,
                         89.5,  89.58333587646484,  89.66666412353516,
                        89.75,  89.83333587646484,  89.91666412353516,
                         90.0],
          dtype='float32', name='latitude', length=2041))

  • lead_day_index
    PandasIndex

    PandasIndex(Index([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], dtype='int64', name='lead_day_index'))

  • longitude
    PandasIndex

    PandasIndex(Index([            -180.0, -179.9166717529297, -179.8333282470703,
                      -179.75, -179.6666717529297, -179.5833282470703,
                       -179.5, -179.4166717529297, -179.3333282470703,
                      -179.25,
           ...
            179.1666717529297,             179.25,  179.3333282470703,
            179.4166717529297,              179.5,  179.5833282470703,
            179.6666717529297,             179.75,  179.8333282470703,
            179.9166717529297],
          dtype='float32', name='longitude', length=4320))

  • first_day_datetime
    PandasIndex

    PandasIndex(DatetimeIndex(['2024-01-03', '2024-01-10', '2024-01-17', '2024-01-24',
                   '2024-01-31', '2024-02-07', '2024-02-14', '2024-02-21',
                   '2024-02-28', '2024-03-06', '2024-03-13', '2024-03-20',
                   '2024-03-27', '2024-04-03', '2024-04-10', '2024-04-17',
                   '2024-04-24', '2024-05-01', '2024-05-08', '2024-05-15',
                   '2024-05-22', '2024-05-29', '2024-06-05', '2024-06-12',
                   '2024-06-19', '2024-06-26', '2024-07-03', '2024-07-10',
                   '2024-07-17', '2024-07-24', '2024-07-31', '2024-08-07',
                   '2024-08-14', '2024-08-21', '2024-08-28', '2024-09-04',
                   '2024-09-11', '2024-09-18', '2024-09-25', '2024-10-02',
                   '2024-10-09', '2024-10-16', '2024-10-23', '2024-10-30',
                   '2024-11-06', '2024-11-13', '2024-11-20', '2024-11-27',
                   '2024-12-04', '2024-12-11', '2024-12-18', '2024-12-25'],
                  dtype='datetime64[us]', name='first_day_datetime', freq=None))

• Attributes: (2)

  oceanbench_source_kind :

  challenger

  oceanbench_source_name :

  xihe

Evaluation configuration

region = 'ibi'

Evaluation of challenger dataset using OceanBench

Root Mean Square Deviation (RMSD) of variables compared to GLORYS reanalysis

oceanbench.metrics.rmsd_of_variables_compared_to_glorys_reanalysis(
    challenger_dataset,
    region=region,
)

	Lead day 1	Lead day 2	Lead day 3	Lead day 4	Lead day 5	Lead day 6	Lead day 7	Lead day 8	Lead day 9	Lead day 10
Sea surface height (m) [sea_surface_height_above_geoid]{surface}	0.062505	0.069825	0.076986	0.068646	0.070577	0.078363	0.071820	0.074382	0.082521	0.079085
Temperature (°C) [sea_water_potential_temperature]{surface}	0.489383	0.541351	0.558769	0.560452	0.579788	0.591747	0.606170	0.629195	0.660824	0.671773
Salinity (PSU) [sea_water_salinity]{surface}	0.276932	0.286158	0.284239	0.287763	0.296870	0.294934	0.288888	0.290655	0.303176	0.301972
Meridional current (m/s) [northward_sea_water_velocity]{surface}	0.099397	0.097133	0.097318	0.097515	0.095110	0.093714	0.091038	0.090530	0.089591	0.090164
Zonal current (m/s) [eastward_sea_water_velocity]{surface}	0.101607	0.100783	0.101404	0.100077	0.099581	0.098582	0.097097	0.097860	0.096416	0.095403
Temperature (°C) [sea_water_potential_temperature]{50m}	0.609179	0.661921	0.657811	0.629746	0.629579	0.630770	0.638579	0.630775	0.654976	0.630553
Salinity (PSU) [sea_water_salinity]{50m}	0.181131	0.186216	0.178721	0.177367	0.180117	0.173909	0.173608	0.166989	0.178791	0.171362
Meridional current (m/s) [northward_sea_water_velocity]{50m}	0.091015	0.088111	0.086848	0.085486	0.083959	0.082645	0.080411	0.079817	0.077870	0.077571
Zonal current (m/s) [eastward_sea_water_velocity]{50m}	0.093441	0.090221	0.088919	0.087469	0.086035	0.084820	0.082532	0.081950	0.080172	0.079715
Temperature (°C) [sea_water_potential_temperature]{100m}	0.630265	0.701455	0.734534	0.691248	0.647698	0.635131	0.681511	0.640338	0.662128	0.628360
Salinity (PSU) [sea_water_salinity]{100m}	0.171509	0.176205	0.174474	0.178140	0.172554	0.168281	0.169435	0.168902	0.174622	0.170043
Meridional current (m/s) [northward_sea_water_velocity]{100m}	0.087126	0.084556	0.083430	0.081121	0.079574	0.078517	0.076289	0.075813	0.073691	0.073407
Zonal current (m/s) [eastward_sea_water_velocity]{100m}	0.088701	0.085721	0.084440	0.082284	0.080771	0.079676	0.077628	0.077304	0.075655	0.075092
Temperature (°C) [sea_water_potential_temperature]{200m}	0.658433	0.641821	0.672731	0.629445	0.611684	0.575701	0.592120	0.582644	0.565454	0.613542
Salinity (PSU) [sea_water_salinity]{200m}	0.128212	0.129391	0.128799	0.127523	0.125006	0.121225	0.119673	0.118818	0.116318	0.119567
Meridional current (m/s) [northward_sea_water_velocity]{200m}	0.078658	0.082500	0.081081	0.078551	0.078209	0.075839	0.075945	0.075345	0.072940	0.071003
Zonal current (m/s) [eastward_sea_water_velocity]{200m}	0.079701	0.083385	0.081946	0.079245	0.079320	0.076929	0.077089	0.076696	0.074210	0.072033
Temperature (°C) [sea_water_potential_temperature]{300m}	0.552057	0.515065	0.532170	0.507018	0.518959	0.491430	0.499513	0.504245	0.515229	0.497713
Salinity (PSU) [sea_water_salinity]{300m}	0.101281	0.104939	0.102134	0.101789	0.101518	0.098095	0.097546	0.097594	0.095901	0.094786
Meridional current (m/s) [northward_sea_water_velocity]{300m}	0.078227	0.082358	0.080792	0.078300	0.078002	0.076034	0.075894	0.075289	0.072922	0.070973
Zonal current (m/s) [eastward_sea_water_velocity]{300m}	0.079713	0.083394	0.081982	0.079223	0.079391	0.077269	0.077338	0.076943	0.074455	0.072254
Temperature (°C) [sea_water_potential_temperature]{500m}	0.400683	0.398974	0.376518	0.378933	0.377043	0.350723	0.358722	0.367313	0.393741	0.351475
Salinity (PSU) [sea_water_salinity]{500m}	0.089208	0.100055	0.093020	0.092996	0.092221	0.087100	0.087437	0.086860	0.087579	0.084686
Meridional current (m/s) [northward_sea_water_velocity]{500m}	0.080580	0.085363	0.083232	0.080928	0.080009	0.078267	0.077574	0.076734	0.074711	0.072930
Zonal current (m/s) [eastward_sea_water_velocity]{500m}	0.082344	0.086902	0.084774	0.082228	0.081750	0.079639	0.078986	0.078364	0.076233	0.074259

Root Mean Square Deviation (RMSD) of Mixed Layer Depth (MLD) compared to GLORYS reanalysis

oceanbench.metrics.rmsd_of_mixed_layer_depth_compared_to_glorys_reanalysis(
    challenger_dataset,
    region=region,
)

	Lead day 1	Lead day 2	Lead day 3	Lead day 4	Lead day 5	Lead day 6	Lead day 7	Lead day 8	Lead day 9	Lead day 10
Mixed layer depth (m) [ocean_mixed_layer_thickness]{surface}	67.732606	63.045319	62.876025	66.238419	63.459749	65.649491	69.037207	66.379093	70.336011	67.209574

Root Mean Square Deviation (RMSD) of geostrophic currents compared to GLORYS reanalysis

oceanbench.metrics.rmsd_of_geostrophic_currents_compared_to_glorys_reanalysis(
    challenger_dataset,
    region=region,
)

	Lead day 1	Lead day 2	Lead day 3	Lead day 4	Lead day 5	Lead day 6	Lead day 7	Lead day 8	Lead day 9	Lead day 10
Meridional geostrophic current (m/s) [geostrophic_northward_sea_water_velocity]{surface}	0.120141	0.127070	0.124243	0.126477	0.130215	0.131698	0.131024	0.133731	0.133447	0.132575
Zonal geostrophic current (m/s) [geostrophic_eastward_sea_water_velocity]{surface}	0.108255	0.111107	0.110340	0.112363	0.112539	0.115590	0.113956	0.116594	0.116084	0.113204

Deviation of Lagrangian trajectories compared to GLORYS reanalysis

oceanbench.metrics.deviation_of_lagrangian_trajectories_compared_to_glorys_reanalysis(
    challenger_dataset,
    region=region,
)

	Lead day 2	Lead day 3	Lead day 4	Lead day 5	Lead day 6	Lead day 7	Lead day 8	Lead day 9
Lagrangian trajectory deviation (km) []{surface}	8.989536	17.455679	25.247274	32.310959	38.719917	44.616482	50.176208	55.430466

Root Mean Square Deviation (RMSD) of variables compared to GLO12 analysis

oceanbench.metrics.rmsd_of_variables_compared_to_glo12_analysis(
    challenger_dataset,
    region=region,
)

	Lead day 1	Lead day 2	Lead day 3	Lead day 4	Lead day 5	Lead day 6	Lead day 7	Lead day 8	Lead day 9	Lead day 10
Sea surface height (m) [sea_surface_height_above_geoid]{surface}	0.041195	0.047844	0.051919	0.057503	0.058728	0.057874	0.052989	0.054526	0.060724	0.061578
Temperature (°C) [sea_water_potential_temperature]{surface}	0.432211	0.482441	0.504003	0.524460	0.558104	0.599509	0.592240	0.641913	0.658512	0.674136
Salinity (PSU) [sea_water_salinity]{surface}	0.177473	0.196916	0.201786	0.215271	0.226330	0.235126	0.229829	0.238098	0.247765	0.252561
Meridional current (m/s) [northward_sea_water_velocity]{surface}	0.047331	0.056259	0.063655	0.070027	0.073365	0.076374	0.078856	0.082306	0.085130	0.087026
Zonal current (m/s) [eastward_sea_water_velocity]{surface}	0.049305	0.059643	0.067682	0.072045	0.077103	0.080790	0.085174	0.089498	0.091763	0.091974
Temperature (°C) [sea_water_potential_temperature]{50m}	0.474497	0.524849	0.527093	0.559476	0.578438	0.619256	0.625919	0.649597	0.641445	0.667195
Salinity (PSU) [sea_water_salinity]{50m}	0.108329	0.112937	0.110761	0.116453	0.122932	0.127768	0.126362	0.129956	0.134387	0.134102
Meridional current (m/s) [northward_sea_water_velocity]{50m}	0.031554	0.040864	0.048170	0.054766	0.060351	0.063744	0.067788	0.071949	0.074094	0.076014
Zonal current (m/s) [eastward_sea_water_velocity]{50m}	0.032154	0.041107	0.049078	0.055659	0.061042	0.065199	0.069583	0.073728	0.075664	0.077290
Temperature (°C) [sea_water_potential_temperature]{100m}	0.425032	0.442677	0.455818	0.451437	0.478615	0.515622	0.508434	0.542449	0.532506	0.551460
Salinity (PSU) [sea_water_salinity]{100m}	0.108317	0.111540	0.113211	0.123728	0.125001	0.127776	0.130345	0.134176	0.134368	0.139122
Meridional current (m/s) [northward_sea_water_velocity]{100m}	0.028522	0.037434	0.044597	0.050709	0.056280	0.060336	0.064436	0.068174	0.070068	0.072043
Zonal current (m/s) [eastward_sea_water_velocity]{100m}	0.028809	0.037683	0.044925	0.051032	0.056468	0.060998	0.065297	0.069209	0.071212	0.072845
Temperature (°C) [sea_water_potential_temperature]{200m}	0.332897	0.329957	0.328970	0.372355	0.365328	0.375462	0.383561	0.381808	0.379069	0.376338
Salinity (PSU) [sea_water_salinity]{200m}	0.069026	0.077328	0.066809	0.078305	0.076834	0.076397	0.082592	0.082264	0.081794	0.078569
Meridional current (m/s) [northward_sea_water_velocity]{200m}	0.037173	0.029012	0.033433	0.040349	0.044283	0.048721	0.054183	0.058026	0.059874	0.061574
Zonal current (m/s) [eastward_sea_water_velocity]{200m}	0.037239	0.029329	0.034060	0.041029	0.044764	0.049413	0.054717	0.058547	0.060435	0.062181
Temperature (°C) [sea_water_potential_temperature]{300m}	0.304137	0.308308	0.280465	0.332633	0.330802	0.331422	0.354739	0.351645	0.354045	0.329395
Salinity (PSU) [sea_water_salinity]{300m}	0.062687	0.070292	0.060396	0.067775	0.068800	0.067189	0.072214	0.072394	0.074134	0.068856
Meridional current (m/s) [northward_sea_water_velocity]{300m}	0.034826	0.027612	0.032145	0.038822	0.042760	0.047215	0.052590	0.056419	0.058322	0.060087
Zonal current (m/s) [eastward_sea_water_velocity]{300m}	0.035297	0.028624	0.033248	0.040011	0.043678	0.048380	0.053516	0.057372	0.059351	0.061155
Temperature (°C) [sea_water_potential_temperature]{500m}	0.293966	0.325191	0.277419	0.341935	0.312087	0.309996	0.316604	0.314489	0.325639	0.302984
Salinity (PSU) [sea_water_salinity]{500m}	0.071112	0.079378	0.069562	0.075407	0.072851	0.068371	0.071558	0.072061	0.073694	0.069859
Meridional current (m/s) [northward_sea_water_velocity]{500m}	0.032866	0.028688	0.033606	0.040706	0.044352	0.048454	0.053513	0.057011	0.058944	0.060686
Zonal current (m/s) [eastward_sea_water_velocity]{500m}	0.033154	0.029615	0.034421	0.041404	0.044984	0.049163	0.054282	0.057820	0.059729	0.061458

Root Mean Square Deviation (RMSD) of Mixed Layer Depth (MLD) compared to GLO12 analysis

oceanbench.metrics.rmsd_of_mixed_layer_depth_compared_to_glo12_analysis(
    challenger_dataset,
    region=region,
)

	Lead day 1	Lead day 2	Lead day 3	Lead day 4	Lead day 5	Lead day 6	Lead day 7	Lead day 8	Lead day 9	Lead day 10
Mixed layer depth (m) [ocean_mixed_layer_thickness]{surface}	66.80716	63.182329	63.252359	67.463267	62.126927	64.914107	69.581714	66.479268	70.615242	67.441898

Root Mean Square Deviation (RMSD) of geostrophic currents compared to GLO12 analysis

oceanbench.metrics.rmsd_of_geostrophic_currents_compared_to_glo12_analysis(
    challenger_dataset,
    region=region,
)

	Lead day 1	Lead day 2	Lead day 3	Lead day 4	Lead day 5	Lead day 6	Lead day 7	Lead day 8	Lead day 9	Lead day 10
Meridional geostrophic current (m/s) [geostrophic_northward_sea_water_velocity]{surface}	0.130825	0.140318	0.137956	0.138841	0.144631	0.146908	0.146858	0.151190	0.153469	0.150511
Zonal geostrophic current (m/s) [geostrophic_eastward_sea_water_velocity]{surface}	0.113624	0.118473	0.117367	0.121161	0.120898	0.125963	0.126772	0.128578	0.129679	0.127207

Deviation of Lagrangian trajectories compared to GLO12 analysis

oceanbench.metrics.deviation_of_lagrangian_trajectories_compared_to_glo12_analysis(
    challenger_dataset,
    region=region,
)

	Lead day 2	Lead day 3	Lead day 4	Lead day 5	Lead day 6	Lead day 7	Lead day 8	Lead day 9
Lagrangian trajectory deviation (km) []{surface}	4.502878	9.440685	14.597861	19.782602	24.893829	29.997612	35.179527	40.338463

Root Mean Square Deviation (RMSD) of variables compared to observations

oceanbench.metrics.rmsd_of_variables_compared_to_observations(
    challenger_dataset,
    region=region,
)

	Lead day 1	Lead day 2	Lead day 3	Lead day 4	Lead day 5	Lead day 6	Lead day 7	Lead day 8	Lead day 9	Lead day 10
Temperature (°C) [sea_water_potential_temperature]{surface}	0.564242	0.658765	0.584619	0.595479	0.657903	0.825831	0.624861	0.656883	0.756384	0.711422
Temperature (°C) [sea_water_potential_temperature]{0-5m}	0.547708	0.624695	0.691902	0.636063	0.662076	0.652830	0.715697	0.748157	0.687082	0.754872
Temperature (°C) [sea_water_potential_temperature]{5-100m}	0.727124	0.744162	0.768784	0.814318	0.774107	0.821951	0.843524	0.817024	0.805882	0.834052
Temperature (°C) [sea_water_potential_temperature]{100-300m}	0.417884	0.448266	0.358360	0.537565	0.482061	0.480260	0.418428	0.397644	0.429257	0.386537
Temperature (°C) [sea_water_potential_temperature]{300-600m}	0.377085	0.441597	0.288246	0.397885	0.418148	0.395569	0.420971	0.398699	0.477561	0.339028
Salinity (PSU) [sea_water_salinity]{0-5m}	0.859706	0.831753	0.652160	0.611507	0.706543	0.612219	0.674018	0.865155	0.841951	0.672873
Salinity (PSU) [sea_water_salinity]{5-100m}	0.323751	0.332082	0.282487	0.299710	0.309279	0.284163	0.296106	0.345470	0.350193	0.298257
Salinity (PSU) [sea_water_salinity]{100-300m}	0.132907	0.151653	0.111792	0.153853	0.153169	0.148944	0.152976	0.135642	0.158330	0.127196
Salinity (PSU) [sea_water_salinity]{300-600m}	0.092888	0.114236	0.085039	0.088438	0.095917	0.083615	0.087222	0.091251	0.108203	0.084819
Sea level anomaly (m) [sea_surface_height_above_geoid]{surface}	0.119532	0.113998	0.105329	0.120607	0.119173	0.110537	0.114334	0.114125	0.107906	0.111559
Zonal current (m/s) [eastward_sea_water_velocity]{15m}	0.222306	0.220305	0.217794	0.203742	0.217339	0.212928	0.219508	0.222340	0.220340	0.217557
Meridional current (m/s) [northward_sea_water_velocity]{15m}	0.186263	0.183710	0.179443	0.180634	0.178785	0.181709	0.182409	0.183480	0.184384	0.178052