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 = 'global'

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}	0.069639	0.072422	0.074362	0.076368	0.078670	0.080964	0.082870	0.084979	0.086563	0.088181	0.0
Temperature (°C) [sea_water_potential_temperature]{surface}	0.559933	0.580447	0.603894	0.628334	0.654342	0.682492	0.711152	0.739461	0.764743	0.790735	0.0
Salinity (PSU) [sea_water_salinity]{surface}	0.631298	0.635170	0.639887	0.644914	0.648859	0.653008	0.657465	0.661267	0.664263	0.667812	0.0
Meridional current (m/s) [northward_sea_water_velocity]{surface}	0.144643	0.153733	0.158283	0.162746	0.167661	0.172689	0.177126	0.180958	0.184249	0.187371	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{surface}	0.145048	0.153590	0.157637	0.162255	0.167037	0.171603	0.175801	0.179755	0.183258	0.186580	0.0
Temperature (°C) [sea_water_potential_temperature]{50m}	0.929431	0.940264	0.951587	0.964879	0.980286	0.997536	1.015781	1.034442	1.050893	1.067541	0.0
Salinity (PSU) [sea_water_salinity]{50m}	0.255588	0.256524	0.257623	0.258963	0.260611	0.262486	0.264425	0.266261	0.267780	0.269318	0.0
Meridional current (m/s) [northward_sea_water_velocity]{50m}	0.129022	0.133021	0.136649	0.140957	0.145736	0.150618	0.155282	0.159551	0.162991	0.166125	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{50m}	0.130664	0.133772	0.136683	0.140220	0.144132	0.148194	0.152211	0.156142	0.159493	0.162644	0.0
Temperature (°C) [sea_water_potential_temperature]{100m}	1.108700	1.118631	1.129425	1.143972	1.160262	1.178798	1.199417	1.218917	1.234743	1.250467	0.0
Salinity (PSU) [sea_water_salinity]{100m}	0.200511	0.200911	0.201500	0.202321	0.203352	0.204524	0.205845	0.207148	0.208123	0.209066	0.0
Meridional current (m/s) [northward_sea_water_velocity]{100m}	0.124627	0.127336	0.130093	0.133633	0.137575	0.141551	0.145431	0.149127	0.152048	0.154685	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{100m}	0.129144	0.131147	0.133312	0.136064	0.139187	0.142448	0.145763	0.148948	0.151449	0.153804	0.0
Temperature (°C) [sea_water_potential_temperature]{200m}	0.915593	0.919707	0.925094	0.932232	0.941169	0.951663	0.963138	0.974554	0.983374	0.992208	0.0
Salinity (PSU) [sea_water_salinity]{200m}	0.163584	0.163839	0.164222	0.164786	0.165531	0.166409	0.167393	0.168350	0.169043	0.169741	0.0
Meridional current (m/s) [northward_sea_water_velocity]{200m}	0.120009	0.121115	0.122404	0.124082	0.126045	0.128217	0.130532	0.132781	0.134622	0.136371	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{200m}	0.126273	0.127072	0.128063	0.129326	0.130825	0.132507	0.134306	0.136158	0.137675	0.139124	0.0
Temperature (°C) [sea_water_potential_temperature]{300m}	0.774486	0.777758	0.782366	0.788527	0.796274	0.805466	0.815640	0.825969	0.833975	0.841816	0.0
Salinity (PSU) [sea_water_salinity]{300m}	0.136634	0.136866	0.137242	0.137765	0.138439	0.139244	0.140148	0.141062	0.141741	0.142421	0.0
Meridional current (m/s) [northward_sea_water_velocity]{300m}	0.116925	0.117824	0.118863	0.120234	0.121879	0.123722	0.125677	0.127582	0.129157	0.130665	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{300m}	0.121720	0.122360	0.123136	0.124192	0.125434	0.126822	0.128338	0.129889	0.131201	0.132442	0.0
Temperature (°C) [sea_water_potential_temperature]{500m}	0.596059	0.598709	0.602543	0.607779	0.614258	0.621812	0.630219	0.638794	0.645789	0.652716	0.0
Salinity (PSU) [sea_water_salinity]{500m}	0.103694	0.103864	0.104140	0.104536	0.105035	0.105626	0.106300	0.106973	0.107493	0.108019	0.0
Meridional current (m/s) [northward_sea_water_velocity]{500m}	0.107308	0.108013	0.108797	0.109783	0.110996	0.112338	0.113754	0.115177	0.116392	0.117540	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{500m}	0.111398	0.111854	0.112409	0.113147	0.114053	0.115083	0.116194	0.117330	0.118308	0.119237	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}	33.817482	35.280533	36.339649	37.111099	37.821049	38.427456	38.93959	39.423393	39.668095	39.94199	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}	0.122187	0.124664	0.127625	0.131104	0.135083	0.139349	0.143786	0.148115	0.151469	0.154578	0.000617
Zonal geostrophic current (m/s) [geostrophic_eastward_sea_water_velocity]{surface}	0.120700	0.122617	0.124918	0.127763	0.131062	0.134552	0.138270	0.141971	0.144847	0.147513	0.000791

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}	0.774733	0.822945	0.815658	0.855272	0.895258	0.949890	0.963162	1.003542	1.036439	1.026454	150081	0
Temperature (°C) [sea_water_potential_temperature]{0-5m}	0.769404	0.798985	0.824321	0.880585	0.893562	0.940222	0.985789	0.979933	1.007026	1.050686	80763	0
Temperature (°C) [sea_water_potential_temperature]{5-100m}	0.910503	0.923573	0.919544	0.958406	0.959214	0.996352	1.041672	1.069661	1.070154	1.112095	1334564	0
Temperature (°C) [sea_water_potential_temperature]{100-300m}	0.826169	0.852672	0.840149	0.847853	0.870956	0.881401	0.922908	0.938125	0.979900	1.000303	2117343	0
Temperature (°C) [sea_water_potential_temperature]{300-600m}	0.551040	0.565680	0.562282	0.572310	0.578093	0.614108	0.623653	0.646944	0.680518	0.687362	2622487	0
Salinity (PSU) [sea_water_salinity]{0-5m}	0.271318	0.297882	0.288271	0.338338	0.292393	0.301828	0.302165	0.282568	0.326113	0.334437	68940	0
Salinity (PSU) [sea_water_salinity]{5-100m}	0.208878	0.214824	0.217259	0.223458	0.219765	0.222019	0.227801	0.223919	0.234604	0.245981	1136708	0
Salinity (PSU) [sea_water_salinity]{100-300m}	0.136087	0.138253	0.138814	0.137421	0.140244	0.138994	0.147347	0.146186	0.152017	0.158017	1803408	0
Salinity (PSU) [sea_water_salinity]{300-600m}	0.087676	0.088004	0.087373	0.088530	0.087872	0.091791	0.092407	0.097258	0.100959	0.102839	2225476	0
Sea level anomaly (m) [sea_surface_height_above_geoid]{surface}	0.049958	0.052238	0.054527	0.057825	0.060633	0.063775	0.066600	0.069105	0.071954	0.074336	15390586	0
Zonal current (m/s) [eastward_sea_water_velocity]{15m}	0.136664	0.142763	0.146628	0.148803	0.150635	0.152514	0.156801	0.158960	0.161533	0.165490	1202530	0
Meridional current (m/s) [northward_sea_water_velocity]{15m}	0.132171	0.138595	0.142538	0.145644	0.148799	0.152582	0.157173	0.160594	0.164331	0.167282	1202530	0

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}	13.598298	26.909672	39.647137	51.962673	64.002144	75.846039	87.479691	98.937088	110.239433

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}	0.023992	0.034408	0.040837	0.046560	0.052023	0.056813	0.060714	0.064582	0.066977	0.069224	0.0
Temperature (°C) [sea_water_potential_temperature]{surface}	0.221919	0.334992	0.416161	0.479618	0.534324	0.582873	0.627144	0.667936	0.701129	0.733219	0.0
Salinity (PSU) [sea_water_salinity]{surface}	0.116573	0.173075	0.209159	0.235694	0.256047	0.274257	0.290854	0.305361	0.316854	0.327284	0.0
Meridional current (m/s) [northward_sea_water_velocity]{surface}	0.092144	0.121325	0.135578	0.147123	0.157367	0.166054	0.173167	0.179022	0.183513	0.187607	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{surface}	0.088675	0.117231	0.131137	0.142988	0.153387	0.161967	0.169332	0.176005	0.181122	0.185423	0.0
Temperature (°C) [sea_water_potential_temperature]{50m}	0.328126	0.463044	0.550229	0.618720	0.678736	0.733872	0.784470	0.828892	0.862651	0.894275	0.0
Salinity (PSU) [sea_water_salinity]{50m}	0.064153	0.092724	0.112549	0.127769	0.140332	0.151048	0.160336	0.168184	0.173930	0.179087	0.0
Meridional current (m/s) [northward_sea_water_velocity]{50m}	0.067275	0.092272	0.108005	0.120692	0.131622	0.140885	0.148851	0.155758	0.160838	0.165273	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{50m}	0.064013	0.087983	0.103099	0.115211	0.125592	0.134510	0.142405	0.149408	0.154718	0.159160	0.0
Temperature (°C) [sea_water_potential_temperature]{100m}	0.350757	0.490918	0.583971	0.664643	0.736525	0.801419	0.861825	0.914884	0.954080	0.989704	0.0
Salinity (PSU) [sea_water_salinity]{100m}	0.051416	0.075247	0.092533	0.105937	0.116821	0.125951	0.133845	0.140615	0.145376	0.149528	0.0
Meridional current (m/s) [northward_sea_water_velocity]{100m}	0.057479	0.081033	0.096342	0.108965	0.119898	0.129105	0.136971	0.143686	0.148629	0.152847	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{100m}	0.055236	0.078190	0.093137	0.105142	0.115334	0.123893	0.131416	0.138021	0.142935	0.147029	0.0
Temperature (°C) [sea_water_potential_temperature]{200m}	0.237003	0.347204	0.428445	0.494919	0.552357	0.602837	0.648626	0.688763	0.717939	0.743550	0.0
Salinity (PSU) [sea_water_salinity]{200m}	0.039307	0.058968	0.073702	0.085249	0.094718	0.102714	0.109708	0.115684	0.120064	0.123898	0.0
Meridional current (m/s) [northward_sea_water_velocity]{200m}	0.042558	0.062854	0.077247	0.088819	0.098759	0.107465	0.115280	0.122156	0.127440	0.132067	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{200m}	0.039746	0.059000	0.072629	0.083413	0.092652	0.100680	0.107790	0.114064	0.118900	0.123101	0.0
Temperature (°C) [sea_water_potential_temperature]{300m}	0.195781	0.292766	0.365877	0.424768	0.474892	0.519116	0.559317	0.594608	0.620410	0.643103	0.0
Salinity (PSU) [sea_water_salinity]{300m}	0.032380	0.049352	0.062121	0.072061	0.080182	0.087071	0.093113	0.098303	0.102169	0.105560	0.0
Meridional current (m/s) [northward_sea_water_velocity]{300m}	0.038385	0.057571	0.071512	0.082805	0.092544	0.101097	0.108740	0.115467	0.120720	0.125377	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{300m}	0.035486	0.053531	0.066615	0.077069	0.086016	0.093827	0.100784	0.106960	0.111772	0.115951	0.0
Temperature (°C) [sea_water_potential_temperature]{500m}	0.145801	0.221664	0.280373	0.328276	0.369044	0.405007	0.437593	0.466325	0.487510	0.506164	0.0
Salinity (PSU) [sea_water_salinity]{500m}	0.023314	0.036099	0.045805	0.053375	0.059530	0.064749	0.069316	0.073249	0.076202	0.078793	0.0
Meridional current (m/s) [northward_sea_water_velocity]{500m}	0.032369	0.049204	0.061611	0.071741	0.080538	0.088312	0.095306	0.101514	0.106486	0.110893	0.0
Zonal current (m/s) [eastward_sea_water_velocity]{500m}	0.029719	0.045453	0.057058	0.066438	0.074465	0.081509	0.087816	0.093446	0.097904	0.101823	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}	17.450945	23.013826	26.294415	28.465237	30.20344	31.487123	32.537701	33.386253	33.933422	34.502178	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}	0.051104	0.074972	0.091960	0.105018	0.115786	0.124919	0.133066	0.140288	0.145407	0.149783	0.0
Zonal geostrophic current (m/s) [geostrophic_eastward_sea_water_velocity]{surface}	0.049672	0.071452	0.087211	0.099522	0.109755	0.118421	0.126171	0.133114	0.137934	0.141944	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}	8.708643	18.643	29.055279	39.878067	51.043865	62.442711	73.953712	85.488998	96.960732