Open challenger datasets

import oceanbench

oceanbench.__version__

'0.6.0'

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 GLO12 persistence baseline forecasts with xarray
import xarray
import oceanbench

challenger_dataset: xarray.Dataset = oceanbench.datasets.challenger.glo12_persistence()

challenger_dataset

<xarray.Dataset> Size: 4TB
Dimensions:             (first_day_datetime: 52, lead_day_index: 10, depth: 50,
                         latitude: 2041, longitude: 4320)
Coordinates:
  * depth               (depth) float32 200B 0.494 1.541 ... 5.275e+03 5.728e+03
  * 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[ns] 416B 2024-01-03 ....
Data variables:
    so                  (first_day_datetime, lead_day_index, depth, latitude, longitude) float32 917GB dask.array<chunksize=(1, 1, 1, 640, 1280), meta=np.ndarray>
    thetao              (first_day_datetime, lead_day_index, depth, latitude, longitude) float32 917GB dask.array<chunksize=(1, 1, 1, 640, 1280), meta=np.ndarray>
    uo                  (first_day_datetime, lead_day_index, depth, latitude, longitude) float32 917GB dask.array<chunksize=(1, 1, 1, 640, 1280), meta=np.ndarray>
    vo                  (first_day_datetime, lead_day_index, depth, latitude, longitude) float32 917GB dask.array<chunksize=(1, 1, 1, 640, 1280), meta=np.ndarray>
    zos                 (first_day_datetime, lead_day_index, latitude, longitude) float32 18GB dask.array<chunksize=(1, 1, 640, 1280), meta=np.ndarray>
Attributes: (12/15)
    Conventions:                CF-1.8
    NCO:                        netCDF Operators version 4.9.7 (Homepage = ht...
    area:                       Global
    contact:                    https://marine.copernicus.eu/contact
    credit:                     E.U. Copernicus Marine Service Information (C...
    history:                    Mon Mar 31 11:20:47 2025: ncks -A /data/rd_ex...
    ...                         ...
    producer:                   CMEMS - Global Monitoring and Forecasting Centre
    references:                 http://marine.copernicus.eu
    source:                     MOI GLO12
    title:                      daily mean fields from Global Ocean Physics A...
    oceanbench_source_kind:     challenger
    oceanbench_source_name:     glo12_persistence

xarray.Dataset

• Dimensions:
  • first_day_datetime: 52
  • lead_day_index: 10
  • depth: 50
  • latitude: 2041
  • longitude: 4320
• Coordinates: (5)
  • depth
    (depth)
    float32
    0.494 1.541 ... 5.275e+03 5.728e+03

    axis :

    Z

    long_name :

    Depth

    positive :

    down

    standard_name :

    depth

    unit_long :

    Meters

    units :

    m

    valid_max :

    5727.9169921875

    valid_min :

    0.49402499198913574

    array([4.940250e-01, 1.541375e+00, 2.645669e+00, 3.819495e+00, 5.078224e+00,
           6.440614e+00, 7.929560e+00, 9.572997e+00, 1.140500e+01, 1.346714e+01,
           1.581007e+01, 1.849556e+01, 2.159882e+01, 2.521141e+01, 2.944473e+01,
           3.443415e+01, 4.034405e+01, 4.737369e+01, 5.576429e+01, 6.580727e+01,
           7.785385e+01, 9.232607e+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, 7.633331e+02, 9.023393e+02,
           1.062440e+03, 1.245291e+03, 1.452251e+03, 1.684284e+03, 1.941893e+03,
           2.225078e+03, 2.533336e+03, 2.865703e+03, 3.220820e+03, 3.597032e+03,
           3.992484e+03, 4.405224e+03, 4.833291e+03, 5.274784e+03, 5.727917e+03],
          dtype=float32)

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

    axis :

    Y

    long_name :

    Latitude

    standard_name :

    latitude

    step :

    0.08333587646484375

    unit_long :

    Degrees North

    units :

    degrees_north

    valid_max :

    90.0

    valid_min :

    -80.0

    array([-80.      , -79.916664, -79.833336, ...,  89.83334 ,  89.91667 ,
            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

    step :

    0.0833282470703125

    unit_long :

    Degrees East

    units :

    degrees_east

    valid_max :

    179.91668701171875

    valid_min :

    -180.0

    array([-180.     , -179.91667, -179.83333, ...,  179.75   ,  179.83334,
            179.91669], shape=(4320,), dtype=float32)

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

    array(['2024-01-03T00:00:00.000000000', '2024-01-10T00:00:00.000000000',
           '2024-01-17T00:00:00.000000000', '2024-01-24T00:00:00.000000000',
           '2024-01-31T00:00:00.000000000', '2024-02-07T00:00:00.000000000',
           '2024-02-14T00:00:00.000000000', '2024-02-21T00:00:00.000000000',
           '2024-02-28T00:00:00.000000000', '2024-03-06T00:00:00.000000000',
           '2024-03-13T00:00:00.000000000', '2024-03-20T00:00:00.000000000',
           '2024-03-27T00:00:00.000000000', '2024-04-03T00:00:00.000000000',
           '2024-04-10T00:00:00.000000000', '2024-04-17T00:00:00.000000000',
           '2024-04-24T00:00:00.000000000', '2024-05-01T00:00:00.000000000',
           '2024-05-08T00:00:00.000000000', '2024-05-15T00:00:00.000000000',
           '2024-05-22T00:00:00.000000000', '2024-05-29T00:00:00.000000000',
           '2024-06-05T00:00:00.000000000', '2024-06-12T00:00:00.000000000',
           '2024-06-19T00:00:00.000000000', '2024-06-26T00:00:00.000000000',
           '2024-07-03T00:00:00.000000000', '2024-07-10T00:00:00.000000000',
           '2024-07-17T00:00:00.000000000', '2024-07-24T00:00:00.000000000',
           '2024-07-31T00:00:00.000000000', '2024-08-07T00:00:00.000000000',
           '2024-08-14T00:00:00.000000000', '2024-08-21T00:00:00.000000000',
           '2024-08-28T00:00:00.000000000', '2024-09-04T00:00:00.000000000',
           '2024-09-11T00:00:00.000000000', '2024-09-18T00:00:00.000000000',
           '2024-09-25T00:00:00.000000000', '2024-10-02T00:00:00.000000000',
           '2024-10-09T00:00:00.000000000', '2024-10-16T00:00:00.000000000',
           '2024-10-23T00:00:00.000000000', '2024-10-30T00:00:00.000000000',
           '2024-11-06T00:00:00.000000000', '2024-11-13T00:00:00.000000000',
           '2024-11-20T00:00:00.000000000', '2024-11-27T00:00:00.000000000',
           '2024-12-04T00:00:00.000000000', '2024-12-11T00:00:00.000000000',
           '2024-12-18T00:00:00.000000000', '2024-12-25T00:00:00.000000000'],
          dtype='datetime64[ns]')

• Data variables: (5)
  • so
    (first_day_datetime, lead_day_index, depth, latitude, longitude)
    float32
    dask.array<chunksize=(1, 1, 1, 640, 1280), meta=np.ndarray>

    cell_methods :

    area: mean

    long_name :

    Salinity

    standard_name :

    sea_water_salinity

    unit_long :

    Practical Salinity Unit

    units :

    1e-3

    valid_max :

    50.0

    valid_min :

    0.0

    Array Chunk Bytes 854.00 GiB 3.12 MiB Shape (52, 10, 50, 2041, 4320) (1, 1, 1, 640, 1280) Dask graph 416000 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, 640, 1280), meta=np.ndarray>

    cell_methods :

    area: mean

    long_name :

    Temperature

    standard_name :

    sea_water_potential_temperature

    unit_long :

    Degrees Celsius

    units :

    degrees_C

    valid_max :

    40.0

    valid_min :

    -10.0

    Array Chunk Bytes 854.00 GiB 3.12 MiB Shape (52, 10, 50, 2041, 4320) (1, 1, 1, 640, 1280) Dask graph 416000 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, 640, 1280), meta=np.ndarray>

    cell_methods :

    area: mean

    long_name :

    Eastward velocity

    standard_name :

    eastward_sea_water_velocity

    unit_long :

    Meters per second

    units :

    m s-1

    valid_max :

    5.0

    valid_min :

    -5.0

    Array Chunk Bytes 854.00 GiB 3.12 MiB Shape (52, 10, 50, 2041, 4320) (1, 1, 1, 640, 1280) Dask graph 416000 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, 640, 1280), meta=np.ndarray>

    cell_methods :

    area: mean

    long_name :

    Northward velocity

    standard_name :

    northward_sea_water_velocity

    unit_long :

    Meters per second

    units :

    m s-1

    valid_max :

    5.0

    valid_min :

    -5.0

    Array Chunk Bytes 854.00 GiB 3.12 MiB Shape (52, 10, 50, 2041, 4320) (1, 1, 1, 640, 1280) Dask graph 416000 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, 640, 1280), meta=np.ndarray>

    cell_methods :

    area: mean

    long_name :

    Sea surface height

    standard_name :

    sea_surface_height_above_geoid

    unit_long :

    Meters

    units :

    m

    valid_max :

    5.0

    valid_min :

    -5.0

    Array Chunk Bytes 17.08 GiB 3.12 MiB Shape (52, 10, 2041, 4320) (1, 1, 640, 1280) Dask graph 8320 chunks in 157 graph layers Data type float32 numpy.ndarray

• Indexes: (5)
  • depth
    PandasIndex

    PandasIndex(Index([0.49402499198913574,  1.5413750410079956,  2.6456689834594727,
            3.8194949626922607,   5.078224182128906,   6.440614223480225,
              7.92956018447876,   9.572997093200684,  11.404999732971191,
            13.467140197753906,  15.810070037841797,  18.495559692382812,
            21.598819732666016,  25.211410522460938,  29.444730758666992,
             34.43415069580078,  40.344051361083984,   47.37369155883789,
             55.76428985595703,   65.80726623535156,   77.85385131835938,
              92.3260726928711,  109.72930145263672,  130.66600036621094,
            155.85069274902344,  186.12559509277344,  222.47520446777344,
             266.0403137207031,   318.1274108886719,   380.2130126953125,
             453.9377136230469,   541.0889282226562,   643.5667724609375,
             763.3331298828125,   902.3392944335938,    1062.43994140625,
                1245.291015625,     1452.2509765625,  1684.2840576171875,
            1941.8929443359375,   2225.077880859375,        2533.3359375,
             2865.702880859375,   3220.820068359375,   3597.031982421875,
              3992.48388671875,    4405.22412109375,      4833.291015625,
               5274.7841796875,     5727.9169921875],
          dtype='float32', 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,  89.33334350585938,  89.41667175292969,
                         89.5,  89.58334350585938,  89.66667175292969,
                        89.75,  89.83334350585938,  89.91667175292969,
                         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,
           ...
           179.16668701171875,             179.25, 179.33334350585938,
           179.41668701171875,              179.5, 179.58334350585938,
           179.66668701171875,             179.75, 179.83334350585938,
           179.91668701171875],
          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[ns]', name='first_day_datetime', freq=None))

• Attributes: (15)

  Conventions :

  CF-1.8

  NCO :

  netCDF Operators version 4.9.7 (Homepage = http://nco.sf.net, Code = http://github.com/nco/nco)

  area :

  Global

  contact :

  https://marine.copernicus.eu/contact

  credit :

  E.U. Copernicus Marine Service Information (CMEMS)

  history :

  Mon Mar 31 11:20:47 2025: ncks -A /data/rd_exchange/olegallou/IA_INPUT/R20240103/glo12_rg_1d-m_20240102-20240102_3D-uovo_nwct_R20240103.nc 20240103.nc Mon Mar 31 11:19:09 2025: ncks -A /data/rd_exchange/olegallou/IA_INPUT/R20240103/glo12_rg_1d-m_20240102-20240102_3D-thetao_nwct_R20240103.nc 20240103.nc Mon Mar 31 11:17:59 2025: ncks -A /data/rd_exchange/olegallou/IA_INPUT/R20240103/glo12_rg_1d-m_20240102-20240102_3D-so_nwct_R20240103.nc 20240103.nc Mon Mar 31 11:17:44 2025: ncks -A /data/rd_exchange/olegallou/IA_INPUT/R20240103/glo12_rg_1d-m_20240102-20240102_2D_nwct_R20240103.nc 20240103.nc

  history_of_appended_files :

  Mon Mar 31 11:20:47 2025: Appended file /data/rd_exchange/olegallou/IA_INPUT/R20240103/glo12_rg_1d-m_20240102-20240102_3D-uovo_nwct_R20240103.nc had no "history" attribute Mon Mar 31 11:19:09 2025: Appended file /data/rd_exchange/olegallou/IA_INPUT/R20240103/glo12_rg_1d-m_20240102-20240102_3D-thetao_nwct_R20240103.nc had no "history" attribute Mon Mar 31 11:17:59 2025: Appended file /data/rd_exchange/olegallou/IA_INPUT/R20240103/glo12_rg_1d-m_20240102-20240102_3D-so_nwct_R20240103.nc had no "history" attribute Mon Mar 31 11:17:44 2025: Appended file /data/rd_exchange/olegallou/IA_INPUT/R20240103/glo12_rg_1d-m_20240102-20240102_2D_nwct_R20240103.nc had no "history" attribute

  institution :

  Mercator Ocean International

  licence :

  http://marine.copernicus.eu/services-portfolio/service-commitments-and-licence/

  producer :

  CMEMS - Global Monitoring and Forecasting Centre

  references :

  http://marine.copernicus.eu

  source :

  MOI GLO12

  title :

  daily mean fields from Global Ocean Physics Analysis and Forecast updated Daily

  oceanbench_source_kind :

  challenger

  oceanbench_source_name :

  glo12_persistence

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	Missing fraction
Sea surface height (m) [sea_surface_height_above_geoid]{surface}	0.062762	0.067502	0.068993	0.073162	0.074615	0.075101	0.070628	0.071288	0.073299	0.075708	0.0
Temperature (°C) [sea_water_potential_temperature]{surface}	0.464704	0.497197	0.525704	0.554887	0.585303	0.616809	0.645529	0.678953	0.711992	0.742289	0.0
Salinity (PSU) [sea_water_salinity]{surface}	0.259415	0.262637	0.265921	0.268145	0.271905	0.274864	0.276725	0.278844	0.279937	0.281743	0.0
Meridional current (m/s) [northward_sea_water_velocity]{surface}	0.103966	0.109392	0.112548	0.114980	0.114642	0.115038	0.115187	0.115803	0.117345	0.119059	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{surface}	0.108453	0.114736	0.118260	0.120189	0.121752	0.123292	0.123883	0.126058	0.126435	0.128284	0.0
Temperature (°C) [sea_water_potential_temperature]{50m}	0.716998	0.720399	0.724623	0.729771	0.737065	0.745910	0.755105	0.764578	0.773450	0.782738	0.0
Salinity (PSU) [sea_water_salinity]{50m}	0.191433	0.191690	0.191972	0.192402	0.192933	0.193558	0.194141	0.194763	0.195127	0.195458	0.0
Meridional current (m/s) [northward_sea_water_velocity]{50m}	0.095365	0.096383	0.097381	0.098540	0.099077	0.099330	0.099866	0.100727	0.101274	0.101969	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{50m}	0.098668	0.099681	0.100677	0.101721	0.102545	0.102949	0.103585	0.104285	0.104854	0.105515	0.0
Temperature (°C) [sea_water_potential_temperature]{100m}	0.744562	0.745248	0.746232	0.747719	0.749914	0.752540	0.755473	0.758656	0.760694	0.762833	0.0
Salinity (PSU) [sea_water_salinity]{100m}	0.196736	0.196874	0.197123	0.197628	0.198230	0.198882	0.199601	0.200265	0.200566	0.200861	0.0
Meridional current (m/s) [northward_sea_water_velocity]{100m}	0.091454	0.092105	0.092799	0.093671	0.094207	0.094414	0.094968	0.095639	0.096127	0.096822	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{100m}	0.093514	0.094139	0.094757	0.095456	0.096033	0.096487	0.097160	0.097846	0.098397	0.098871	0.0
Temperature (°C) [sea_water_potential_temperature]{200m}	0.661806	0.662107	0.662589	0.663439	0.664633	0.666138	0.668033	0.669894	0.670688	0.671536	0.0
Salinity (PSU) [sea_water_salinity]{200m}	0.136704	0.136702	0.136729	0.136819	0.136962	0.137164	0.137432	0.137680	0.137730	0.137776	0.0
Meridional current (m/s) [northward_sea_water_velocity]{200m}	0.085385	0.085563	0.085842	0.086171	0.086567	0.086980	0.087516	0.088084	0.088479	0.088907	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{200m}	0.086598	0.086759	0.086987	0.087284	0.087693	0.088156	0.088702	0.089286	0.089729	0.090134	0.0
Temperature (°C) [sea_water_potential_temperature]{300m}	0.541233	0.541504	0.541864	0.542436	0.543337	0.544441	0.545915	0.547419	0.548142	0.548872	0.0
Salinity (PSU) [sea_water_salinity]{300m}	0.104852	0.104845	0.104837	0.104856	0.104933	0.105047	0.105221	0.105382	0.105419	0.105445	0.0
Meridional current (m/s) [northward_sea_water_velocity]{300m}	0.084855	0.085016	0.085258	0.085547	0.085923	0.086325	0.086831	0.087358	0.087744	0.088134	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{300m}	0.086112	0.086245	0.086431	0.086697	0.087066	0.087488	0.087960	0.088504	0.088921	0.089298	0.0
Temperature (°C) [sea_water_potential_temperature]{500m}	0.398885	0.398905	0.399141	0.399635	0.400350	0.401234	0.402445	0.403739	0.404450	0.405322	0.0
Salinity (PSU) [sea_water_salinity]{500m}	0.090920	0.090901	0.090916	0.090980	0.091079	0.091214	0.091394	0.091548	0.091598	0.091676	0.0
Meridional current (m/s) [northward_sea_water_velocity]{500m}	0.087985	0.088108	0.088274	0.088522	0.088840	0.089169	0.089579	0.089998	0.090321	0.090630	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{500m}	0.089491	0.089558	0.089675	0.089880	0.090150	0.090471	0.090844	0.091265	0.091594	0.091915	0.0

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	Missing fraction
Mixed layer depth (m) [ocean_mixed_layer_thickness]{surface}	27.603786	30.128284	32.19096	34.106823	35.180088	36.264183	37.455173	37.762985	38.825687	38.557083	0.0

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	Missing fraction
Meridional geostrophic current (m/s) [geostrophic_northward_sea_water_velocity]{surface}	0.092833	0.094646	0.095583	0.097254	0.098368	0.098649	0.099082	0.099956	0.100218	0.101036	0.000431
Zonal geostrophic current (m/s) [geostrophic_eastward_sea_water_velocity]{surface}	0.093372	0.095028	0.096035	0.097433	0.098648	0.099166	0.099587	0.100418	0.100755	0.101553	0.000628

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	Observations	Missing
Temperature (°C) [sea_water_potential_temperature]{surface}	0.402875	0.501974	0.586633	0.578493	0.611668	0.637144	0.699639	0.661683	0.718095	0.781865	1807	33
Temperature (°C) [sea_water_potential_temperature]{0-5m}	0.430646	0.517770	0.479451	0.572186	0.631336	0.615866	0.736978	0.708355	0.810630	0.814342	1496	9
Temperature (°C) [sea_water_potential_temperature]{5-100m}	0.674607	0.698169	0.698326	0.709705	0.827276	0.779541	0.769729	0.792382	0.801494	0.858993	36018	236
Temperature (°C) [sea_water_potential_temperature]{100-300m}	0.301164	0.317418	0.329575	0.307775	0.334056	0.323452	0.319954	0.319864	0.320371	0.354325	50931	497
Temperature (°C) [sea_water_potential_temperature]{300-600m}	0.266222	0.258290	0.252289	0.245651	0.272085	0.272357	0.240838	0.280742	0.296137	0.252645	45078	554
Salinity (PSU) [sea_water_salinity]{0-5m}	0.668391	0.881184	0.856205	0.666174	0.633811	0.739671	0.647887	0.705703	0.906225	0.884772	1303	10
Salinity (PSU) [sea_water_salinity]{5-100m}	0.274033	0.337932	0.340978	0.273830	0.308972	0.310391	0.301629	0.301039	0.353707	0.377991	32900	236
Salinity (PSU) [sea_water_salinity]{100-300m}	0.103202	0.094859	0.113039	0.078984	0.132570	0.107810	0.122925	0.118699	0.101780	0.149675	46897	497
Salinity (PSU) [sea_water_salinity]{300-600m}	0.045561	0.045644	0.049176	0.043366	0.050134	0.051418	0.053675	0.048557	0.051316	0.048589	40027	554
Sea level anomaly (m) [sea_surface_height_above_geoid]{surface}	0.048825	0.049429	0.051465	0.049486	0.051320	0.052806	0.056406	0.054527	0.058549	0.060134	179488	2562
Zonal current (m/s) [eastward_sea_water_velocity]{15m}	0.110236	0.114254	0.114661	0.116356	0.112044	0.111898	0.115829	0.118759	0.118927	0.117221	18905	363
Meridional current (m/s) [northward_sea_water_velocity]{15m}	0.106775	0.112718	0.112991	0.112034	0.111192	0.110023	0.110995	0.115490	0.118738	0.125323	18905	363

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	Lead day 10
Lagrangian trajectory deviation (km) []{surface}	10.129002	20.042421	29.34664	38.019562	46.16473	53.86829	61.255978	68.433517	75.461136

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	Missing fraction
Sea surface height (m) [sea_surface_height_above_geoid]{surface}	0.027114	0.037924	0.042277	0.050266	0.052672	0.052312	0.048534	0.048678	0.053111	0.057265	0.0
Temperature (°C) [sea_water_potential_temperature]{surface}	0.185277	0.294774	0.374698	0.439746	0.494409	0.543676	0.585367	0.628974	0.669615	0.708281	0.0
Salinity (PSU) [sea_water_salinity]{surface}	0.057315	0.087739	0.108481	0.123625	0.136236	0.145107	0.152860	0.159640	0.166103	0.172061	0.0
Meridional current (m/s) [northward_sea_water_velocity]{surface}	0.052246	0.070776	0.083032	0.091571	0.096089	0.100429	0.103700	0.107081	0.110668	0.113561	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{surface}	0.054295	0.073450	0.086324	0.094298	0.100970	0.106690	0.110320	0.115269	0.117805	0.120921	0.0
Temperature (°C) [sea_water_potential_temperature]{50m}	0.187795	0.275977	0.349882	0.410020	0.460822	0.504179	0.541361	0.573444	0.596106	0.619185	0.0
Salinity (PSU) [sea_water_salinity]{50m}	0.038387	0.057961	0.073457	0.085739	0.095652	0.104013	0.111118	0.117206	0.121710	0.125888	0.0
Meridional current (m/s) [northward_sea_water_velocity]{50m}	0.034681	0.050399	0.062540	0.072096	0.078797	0.083327	0.087860	0.092088	0.095006	0.097321	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{50m}	0.035030	0.050335	0.062773	0.072412	0.079285	0.084346	0.089147	0.093205	0.096065	0.098456	0.0
Temperature (°C) [sea_water_potential_temperature]{100m}	0.154613	0.230659	0.293563	0.345248	0.388429	0.424061	0.454358	0.479751	0.496260	0.510967	0.0
Salinity (PSU) [sea_water_salinity]{100m}	0.037949	0.057595	0.073733	0.086923	0.097616	0.106391	0.113741	0.120051	0.124514	0.128405	0.0
Meridional current (m/s) [northward_sea_water_velocity]{100m}	0.029917	0.045392	0.057386	0.066666	0.073408	0.078414	0.083142	0.087103	0.089941	0.092484	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{100m}	0.029412	0.044978	0.056949	0.066124	0.072949	0.078350	0.083148	0.087285	0.090148	0.092390	0.0
Temperature (°C) [sea_water_potential_temperature]{200m}	0.122903	0.179707	0.226774	0.264922	0.296755	0.323925	0.347737	0.367779	0.380526	0.391741	0.0
Salinity (PSU) [sea_water_salinity]{200m}	0.025367	0.037235	0.047013	0.054862	0.061334	0.066827	0.071595	0.075566	0.078201	0.080513	0.0
Meridional current (m/s) [northward_sea_water_velocity]{200m}	0.024285	0.037983	0.048863	0.057355	0.064108	0.069651	0.074495	0.078538	0.081302	0.083587	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{200m}	0.023873	0.037595	0.048462	0.056839	0.063569	0.069180	0.074032	0.078159	0.080970	0.083216	0.0
Temperature (°C) [sea_water_potential_temperature]{300m}	0.103528	0.153635	0.194526	0.227274	0.254437	0.277795	0.298527	0.316221	0.327781	0.337859	0.0
Salinity (PSU) [sea_water_salinity]{300m}	0.020110	0.030089	0.038123	0.044475	0.049677	0.054094	0.057985	0.061290	0.063550	0.065552	0.0
Meridional current (m/s) [northward_sea_water_velocity]{300m}	0.022788	0.035906	0.046526	0.054912	0.061675	0.067285	0.072177	0.076261	0.079105	0.081455	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{300m}	0.022403	0.035531	0.046144	0.054446	0.061197	0.066842	0.071710	0.075884	0.078756	0.081108	0.0
Temperature (°C) [sea_water_potential_temperature]{500m}	0.083279	0.125165	0.159545	0.187367	0.210726	0.230918	0.248714	0.263660	0.273381	0.281887	0.0
Salinity (PSU) [sea_water_salinity]{500m}	0.017959	0.027117	0.034542	0.040458	0.045316	0.049488	0.053135	0.056161	0.058267	0.060159	0.0
Meridional current (m/s) [northward_sea_water_velocity]{500m}	0.021905	0.034780	0.045315	0.053686	0.060523	0.066221	0.071169	0.075361	0.078387	0.080939	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{500m}	0.021575	0.034456	0.045012	0.053375	0.060238	0.065987	0.070958	0.075214	0.078278	0.080850	0.0

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	Missing fraction
Mixed layer depth (m) [ocean_mixed_layer_thickness]{surface}	17.377424	23.190029	27.551058	30.483482	32.299179	34.343224	35.966263	36.155766	36.841721	36.873207	0.0

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	Missing fraction
Meridional geostrophic current (m/s) [geostrophic_northward_sea_water_velocity]{surface}	0.032698	0.049267	0.060343	0.070159	0.077004	0.081684	0.085994	0.089665	0.092172	0.094463	0.0
Zonal geostrophic current (m/s) [geostrophic_eastward_sea_water_velocity]{surface}	0.030717	0.046763	0.057841	0.067327	0.074487	0.079389	0.083700	0.087708	0.090419	0.092821	0.0

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	Lead day 10
Lagrangian trajectory deviation (km) []{surface}	5.670094	12.548832	19.953144	27.552868	35.255833	42.907406	50.467476	58.011784	65.512688