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Open challenger datasets

import oceanbench

oceanbench.__version__
'0.2.1'

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 WenHai forecasts with xarray
import xarray
import oceanbench

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

challenger_dataset
<xarray.Dataset> Size: 2TB
Dimensions:             (first_day_datetime: 52, lead_day_index: 10, depth: 23,
                         latitude: 2041, longitude: 4320)
Coordinates:
  * depth               (depth) float32 92B 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, 256, 512), meta=np.ndarray>
    thetao              (first_day_datetime, lead_day_index, depth, latitude, longitude) float32 422GB dask.array<chunksize=(1, 1, 1, 256, 512), meta=np.ndarray>
    uo                  (first_day_datetime, lead_day_index, depth, latitude, longitude) float32 422GB dask.array<chunksize=(1, 1, 1, 256, 512), meta=np.ndarray>
    vo                  (first_day_datetime, lead_day_index, depth, latitude, longitude) float32 422GB dask.array<chunksize=(1, 1, 1, 256, 512), meta=np.ndarray>
    zos                 (first_day_datetime, lead_day_index, latitude, longitude) float32 18GB dask.array<chunksize=(1, 1, 256, 512), meta=np.ndarray>
Attributes:
    Conventions:              CF-1.8
    challenger:               wenhai
    forecast_reference_time:  2024-01-02
    oceanbench_source_kind:   challenger
    oceanbench_source_name:   wenhai
xarray.Dataset
    • first_day_datetime: 52
    • lead_day_index: 10
    • depth: 23
    • latitude: 2041
    • longitude: 4320
    • depth
      (depth)
      float32
      0.494 2.646 5.078 ... 541.1 643.6
      axis :
      Z
      long_name :
      Depth
      positive :
      down
      standard_name :
      depth
      units :
      m
      array([4.940250e-01, 2.645669e+00, 5.078224e+00, 7.929560e+00, 1.140500e+01,
             1.581007e+01, 2.159882e+01, 2.944473e+01, 4.034405e+01, 5.576429e+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], dtype=float32)
    • latitude
      (latitude)
      float32
      -80.0 -79.92 -79.83 ... 89.92 90.0
      axis :
      Y
      long_name :
      Latitude
      standard_name :
      latitude
      units :
      degrees_north
      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
      units :
      degrees_east
      array([-180.     , -179.91667, -179.83333, ...,  179.75   ,  179.83334,
              179.91669], 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]')
    • so
      (first_day_datetime, lead_day_index, depth, latitude, longitude)
      float32
      dask.array<chunksize=(1, 1, 1, 256, 512), meta=np.ndarray>
      long_name :
      Salinity
      longitudeg_name :
      Salinity
      standard_name :
      sea_water_salinity
      units :
      1e-3
      Array Chunk
      Bytes 392.84 GiB 512.00 kiB
      Shape (52, 10, 23, 2041, 4320) (1, 1, 1, 256, 512)
      Dask graph 861120 chunks in 157 graph layers
      Data type float32 numpy.ndarray
      10 52 4320 2041 23
    • thetao
      (first_day_datetime, lead_day_index, depth, latitude, longitude)
      float32
      dask.array<chunksize=(1, 1, 1, 256, 512), meta=np.ndarray>
      long_name :
      Temperature
      longitudeg_name :
      Temperature
      standard_name :
      sea_water_potential_temperature
      units :
      degrees_C
      Array Chunk
      Bytes 392.84 GiB 512.00 kiB
      Shape (52, 10, 23, 2041, 4320) (1, 1, 1, 256, 512)
      Dask graph 861120 chunks in 157 graph layers
      Data type float32 numpy.ndarray
      10 52 4320 2041 23
    • uo
      (first_day_datetime, lead_day_index, depth, latitude, longitude)
      float32
      dask.array<chunksize=(1, 1, 1, 256, 512), meta=np.ndarray>
      long_name :
      Eastward velocity
      longitudeg_name :
      Eastward velocity
      standard_name :
      eastward_sea_water_velocity
      units :
      m s-1
      Array Chunk
      Bytes 392.84 GiB 512.00 kiB
      Shape (52, 10, 23, 2041, 4320) (1, 1, 1, 256, 512)
      Dask graph 861120 chunks in 157 graph layers
      Data type float32 numpy.ndarray
      10 52 4320 2041 23
    • vo
      (first_day_datetime, lead_day_index, depth, latitude, longitude)
      float32
      dask.array<chunksize=(1, 1, 1, 256, 512), meta=np.ndarray>
      long_name :
      Northward velocity
      longitudeg_name :
      Northward velocity
      standard_name :
      northward_sea_water_velocity
      units :
      m s-1
      Array Chunk
      Bytes 392.84 GiB 512.00 kiB
      Shape (52, 10, 23, 2041, 4320) (1, 1, 1, 256, 512)
      Dask graph 861120 chunks in 157 graph layers
      Data type float32 numpy.ndarray
      10 52 4320 2041 23
    • zos
      (first_day_datetime, lead_day_index, latitude, longitude)
      float32
      dask.array<chunksize=(1, 1, 256, 512), meta=np.ndarray>
      long_name :
      Sea surface height
      longitudeg_name :
      Sea surface height
      standard_name :
      sea_surface_height_above_geoid
      units :
      m
      Array Chunk
      Bytes 17.08 GiB 512.00 kiB
      Shape (52, 10, 2041, 4320) (1, 1, 256, 512)
      Dask graph 37440 chunks in 157 graph layers
      Data type float32 numpy.ndarray
      52 1 4320 2041 10
    • depth
      PandasIndex
      PandasIndex(Index([0.49402499198913574,  2.6456689834594727,   5.078224182128906,
                7.92956018447876,  11.404999732971191,  15.810070037841797,
              21.598819732666016,  29.444730758666992,  40.344051361083984,
               55.76428985595703,   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],
            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[us]', name='first_day_datetime', freq=None))
  • Conventions :
    CF-1.8
    challenger :
    wenhai
    forecast_reference_time :
    2024-01-02
    oceanbench_source_kind :
    challenger
    oceanbench_source_name :
    wenhai

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
Sea surface height (m) [sea_surface_height_above_geoid]{surface} 0.116497 0.116232 0.116063 0.116233 0.116552 0.116958 0.117427 0.118187 0.118838 0.119569
Temperature (°C) [sea_water_potential_temperature]{surface} 0.608022 0.606956 0.606132 0.607135 0.610259 0.615139 0.622622 0.631145 0.638970 0.648061
Salinity (PSU) [sea_water_salinity]{surface} 1.165497 1.158578 1.152440 1.146849 1.141866 1.137800 1.134263 1.130776 1.127275 1.124430
Meridional current (m/s) [northward_sea_water_velocity]{surface} 0.163084 0.162531 0.162481 0.162846 0.163393 0.164419 0.165741 0.167373 0.168604 0.169862
Zonal current (m/s) [eastward_sea_water_velocity]{surface} 0.164409 0.163899 0.163948 0.164339 0.165176 0.166443 0.168206 0.170091 0.171423 0.172762
Temperature (°C) [sea_water_potential_temperature]{50m} 0.901804 0.898549 0.896810 0.896013 0.897321 0.899845 0.903434 0.908075 0.911195 0.914458
Salinity (PSU) [sea_water_salinity]{50m} 1.118672 1.117954 1.117332 1.116792 1.116346 1.115989 1.115658 1.115381 1.115102 1.114828
Meridional current (m/s) [northward_sea_water_velocity]{50m} 0.151090 0.150834 0.150901 0.151297 0.151858 0.152621 0.153698 0.154873 0.155639 0.156349
Zonal current (m/s) [eastward_sea_water_velocity]{50m} 0.159303 0.159123 0.159330 0.159733 0.160308 0.161154 0.162397 0.163774 0.164635 0.165551
Temperature (°C) [sea_water_potential_temperature]{100m} 1.041641 1.039500 1.038640 1.039379 1.041889 1.045828 1.051384 1.057081 1.060832 1.065303
Salinity (PSU) [sea_water_salinity]{100m} 1.058117 1.057820 1.057580 1.057384 1.057242 1.057149 1.057092 1.057054 1.056977 1.056905
Meridional current (m/s) [northward_sea_water_velocity]{100m} 0.135954 0.135623 0.135542 0.135713 0.136100 0.136757 0.137668 0.138667 0.139240 0.139762
Zonal current (m/s) [eastward_sea_water_velocity]{100m} 0.140716 0.140468 0.140430 0.140712 0.141261 0.141992 0.143007 0.144195 0.144981 0.145728
Temperature (°C) [sea_water_potential_temperature]{200m} 0.882721 0.880949 0.879891 0.879716 0.880504 0.882495 0.885582 0.888920 0.890339 0.891963
Salinity (PSU) [sea_water_salinity]{200m} 0.998154 0.998014 0.997910 0.997834 0.997787 0.997765 0.997762 0.997765 0.997736 0.997718
Meridional current (m/s) [northward_sea_water_velocity]{200m} 0.122795 0.122279 0.121983 0.121890 0.121988 0.122289 0.122829 0.123466 0.123770 0.124069
Zonal current (m/s) [eastward_sea_water_velocity]{200m} 0.130391 0.129996 0.129735 0.129671 0.129796 0.130112 0.130624 0.131283 0.131706 0.132108
Temperature (°C) [sea_water_potential_temperature]{300m} 0.745870 0.744289 0.743598 0.743852 0.745006 0.747116 0.750069 0.753363 0.754940 0.756644
Salinity (PSU) [sea_water_salinity]{300m} 0.924663 0.924566 0.924500 0.924453 0.924422 0.924414 0.924419 0.924431 0.924420 0.924418
Meridional current (m/s) [northward_sea_water_velocity]{300m} 0.114857 0.114286 0.113920 0.113754 0.113789 0.114025 0.114466 0.114983 0.115218 0.115453
Zonal current (m/s) [eastward_sea_water_velocity]{300m} 0.120330 0.119901 0.119600 0.119499 0.119536 0.119759 0.120185 0.120718 0.121053 0.121369
Temperature (°C) [sea_water_potential_temperature]{500m} 0.558812 0.557767 0.557188 0.557275 0.558010 0.559462 0.561616 0.564050 0.565349 0.566766
Salinity (PSU) [sea_water_salinity]{500m} 0.807834 0.807770 0.807720 0.807684 0.807659 0.807643 0.807636 0.807633 0.807618 0.807605
Meridional current (m/s) [northward_sea_water_velocity]{500m} 0.102792 0.102147 0.101685 0.101393 0.101279 0.101327 0.101538 0.101844 0.101962 0.102093
Zonal current (m/s) [eastward_sea_water_velocity]{500m} 0.104407 0.103850 0.103450 0.103244 0.103191 0.103298 0.103549 0.103888 0.104086 0.104297

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} 40.784466 43.305786 45.842484 48.105751 50.090439 51.925339 53.693394 55.277798 56.448372 57.609673

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} 2.006254 2.006025 2.006262 2.006995 2.008071 2.009398 2.011054 2.013237 2.016004 2.019115
Zonal geostrophic current (m/s) [geostrophic_eastward_sea_water_velocity]{surface} 1.375278 1.375652 1.376109 1.376485 1.377044 1.377529 1.378161 1.379185 1.380086 1.381011

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} 0.796078 0.823342 0.791933 0.807557 0.839524 0.877188 0.878279 0.895570 0.920511 0.889847
Temperature (°C) [sea_water_potential_temperature]{0-5m} 0.761511 0.766470 0.781756 0.816180 0.815369 0.827884 0.845016 0.830081 0.835523 0.859913
Temperature (°C) [sea_water_potential_temperature]{5-100m} 0.899192 0.907013 0.891902 0.927570 0.937641 0.931131 0.939790 0.965908 0.975225 0.992231
Temperature (°C) [sea_water_potential_temperature]{100-300m} 0.827166 0.841780 0.830031 0.829948 0.856612 0.867507 0.877454 0.892256 0.916227 0.926908
Temperature (°C) [sea_water_potential_temperature]{300-600m} 0.559544 0.570993 0.577279 0.560723 0.577239 0.594678 0.600474 0.611488 0.614823 0.639178
Salinity (PSU) [sea_water_salinity]{0-5m} 0.273981 0.289444 0.289818 0.309662 0.289851 0.299792 0.279885 0.289093 0.300815 0.300801
Salinity (PSU) [sea_water_salinity]{5-100m} 0.272773 0.271402 0.272247 0.274060 0.281151 0.308359 0.297400 0.285789 0.281998 0.291005
Salinity (PSU) [sea_water_salinity]{100-300m} 0.356047 0.238506 0.254165 0.168063 0.165317 0.354536 0.240711 0.358148 0.241759 0.261306
Salinity (PSU) [sea_water_salinity]{300-600m} 0.289873 0.255482 0.334575 0.205515 0.146836 0.231019 0.235714 0.291529 0.256698 0.337118
Sea level anomaly (m) [sea_surface_height_above_geoid]{surface} 0.116088 0.117423 0.118694 0.120270 0.121442 0.123213 0.124838 0.126470 0.128203 0.129402
Zonal current (m/s) [eastward_sea_water_velocity]{15m} 0.214525 0.213632 0.217404 0.218303 0.216508 0.218000 0.222164 0.224634 0.224457 0.227848
Meridional current (m/s) [northward_sea_water_velocity]{15m} 0.196361 0.196704 0.198708 0.201201 0.202134 0.204259 0.205759 0.207406 0.208085 0.209661

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} 10.295852 19.99651 29.122683 37.79921 46.109055 54.104416 61.865192 69.435753

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} 0.019227 0.025001 0.029373 0.033967 0.038503 0.042601 0.046762 0.051000 0.053866 0.056971
Temperature (°C) [sea_water_potential_temperature]{surface} 0.156769 0.201905 0.238721 0.274397 0.310625 0.347204 0.386084 0.422740 0.449998 0.476613
Salinity (PSU) [sea_water_salinity]{surface} 0.149350 0.184295 0.214240 0.242981 0.268253 0.291301 0.313743 0.335193 0.354155 0.371312
Meridional current (m/s) [northward_sea_water_velocity]{surface} 0.048212 0.057217 0.064920 0.073075 0.081384 0.089961 0.098697 0.106868 0.112520 0.117591
Zonal current (m/s) [eastward_sea_water_velocity]{surface} 0.047482 0.057621 0.065982 0.074328 0.083082 0.092105 0.101241 0.109883 0.116193 0.121694
Temperature (°C) [sea_water_potential_temperature]{50m} 0.206690 0.266643 0.313790 0.357034 0.400041 0.442736 0.484916 0.523641 0.549206 0.573276
Salinity (PSU) [sea_water_salinity]{50m} 0.053152 0.069267 0.081405 0.092033 0.102095 0.111717 0.120993 0.129557 0.135996 0.141933
Meridional current (m/s) [northward_sea_water_velocity]{50m} 0.037730 0.046266 0.053721 0.061377 0.069301 0.077300 0.085616 0.093217 0.098386 0.103020
Zonal current (m/s) [eastward_sea_water_velocity]{50m} 0.037234 0.046865 0.054957 0.062838 0.070870 0.079282 0.088033 0.096188 0.101878 0.106801
Temperature (°C) [sea_water_potential_temperature]{100m} 0.221545 0.280503 0.328826 0.376213 0.424155 0.473086 0.522055 0.566699 0.596194 0.624203
Salinity (PSU) [sea_water_salinity]{100m} 0.040595 0.053224 0.062822 0.071192 0.079074 0.086733 0.094231 0.101135 0.106084 0.110608
Meridional current (m/s) [northward_sea_water_velocity]{100m} 0.032092 0.040359 0.047364 0.054563 0.062160 0.069999 0.077894 0.085037 0.089812 0.094045
Zonal current (m/s) [eastward_sea_water_velocity]{100m} 0.031452 0.040377 0.047768 0.055251 0.063033 0.070960 0.078980 0.086408 0.091583 0.096014
Temperature (°C) [sea_water_potential_temperature]{200m} 0.166666 0.218344 0.259674 0.298594 0.337573 0.377217 0.417531 0.454519 0.479039 0.501280
Salinity (PSU) [sea_water_salinity]{200m} 0.032113 0.042601 0.050821 0.057863 0.064361 0.070596 0.076686 0.082248 0.086288 0.089985
Meridional current (m/s) [northward_sea_water_velocity]{200m} 0.026308 0.034144 0.040689 0.047154 0.053861 0.060715 0.067645 0.074002 0.078357 0.082201
Zonal current (m/s) [eastward_sea_water_velocity]{200m} 0.024999 0.033089 0.039720 0.046244 0.052927 0.059751 0.066585 0.072921 0.077462 0.081432
Temperature (°C) [sea_water_potential_temperature]{300m} 0.141698 0.189694 0.228231 0.263646 0.298580 0.333979 0.369799 0.402683 0.424589 0.444372
Salinity (PSU) [sea_water_salinity]{300m} 0.027780 0.037045 0.044396 0.050666 0.056421 0.061919 0.067257 0.072136 0.075732 0.079015
Meridional current (m/s) [northward_sea_water_velocity]{300m} 0.024584 0.032292 0.038682 0.044864 0.051183 0.057607 0.064072 0.070048 0.074201 0.077897
Zonal current (m/s) [eastward_sea_water_velocity]{300m} 0.023115 0.030990 0.037446 0.043629 0.049890 0.056277 0.062676 0.068622 0.072940 0.076745
Temperature (°C) [sea_water_potential_temperature]{500m} 0.112289 0.155960 0.190043 0.219912 0.248121 0.276022 0.303971 0.329720 0.347147 0.362928
Salinity (PSU) [sea_water_salinity]{500m} 0.022731 0.030360 0.036438 0.041505 0.046003 0.050200 0.054209 0.057858 0.060606 0.063102
Meridional current (m/s) [northward_sea_water_velocity]{500m} 0.022183 0.030020 0.036262 0.041953 0.047493 0.052979 0.058433 0.063482 0.067120 0.070380
Zonal current (m/s) [eastward_sea_water_velocity]{500m} 0.020734 0.028685 0.034969 0.040658 0.046181 0.051662 0.057089 0.062148 0.065902 0.069270

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} 22.779385 28.486935 32.885616 36.379002 39.237106 41.7136 43.953129 45.803059 47.309345 48.706448

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} 0.146493 0.224647 0.300696 0.372886 0.446610 0.518992 0.590569 0.662225 0.737204 0.810578
Zonal geostrophic current (m/s) [geostrophic_eastward_sea_water_velocity]{surface} 0.102532 0.131636 0.155041 0.175872 0.194991 0.212925 0.230070 0.246550 0.261392 0.276579

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} 4.046211 8.213248 12.590975 17.387632 22.64105 28.359407 34.527573 41.025841
 

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