How data is stored

General information about eddies storage.

All files have the same structure, with more or less fields and possible different order.

There are 3 class of files:

  • Eddies collections : contain a list of eddies without link between them

  • Track eddies collections : manage eddies associated in trajectories, the `track` field allows to separate each trajectory

  • Network eddies collections : manage eddies associated in networks, the `track` and `segment` fields allow to separate observations

from matplotlib import pyplot as plt
from numpy import arange, outer
import py_eddy_tracker_sample

from py_eddy_tracker.data import get_demo_path
from py_eddy_tracker.observations.network import NetworkObservations
from py_eddy_tracker.observations.observation import EddiesObservations, Table
from py_eddy_tracker.observations.tracking import TrackEddiesObservations

Eddies can be stored in 2 formats with the same structure:

Each field are stored in column, each row corresponds at 1 observation, array field like contour/profile are 2D column.

Eddies files (zarr or netcdf) can be loaded with `load_file` method:

eddies_collections = EddiesObservations.load_file(get_demo_path("Cyclonic_20160515.nc"))
eddies_collections.field_table()
# offset and scale_factor are used only when data is stored in zarr or netCDF4
File was created with py-eddy-tracker version 'None' but software version is '3.6'
Name (Unit) Long name Scale factor Offset
amplitude (m) Amplitude 0.0001
effective_contour_latitude (degrees_east) Effective contour latitudes 0.01
speed_contour_latitude (degrees_east) Speed contour latitudes 0.01
effective_contour_longitude (degrees_east) Effective contour longitudes 0.01 180.0
speed_contour_longitude (degrees_east) Speed contour longitudes 0.01 180.0
effective_area (m^2) Effective area
effective_contour_height (m) Effective contour height
inner_contour_height (m) Inner contour height
speed_contour_height (m) Speed contour height
latitude (degrees_north) Eddy center latitude
latitude_max (degrees_north) Latitude of the ssh maximum
longitude (degrees_east) Eddy center longitude
longitude_max (degrees_east) Longitude of the ssh maximum
num_contours () Number of contours
num_point_e (ordinal) Number of points for effective contour
num_point_s (ordinal) Number of points for speed contour
effective_radius (m) Effective radius 50.0
speed_radius (m) Speed radius 50.0
effective_contour_shape_error (%) Effective contour shape error 0.5
speed_contour_shape_error (%) Speed contour shape error 0.5
speed_area (m^2) Speed area
speed_average (m/s) Maximum circum-averaged speed 0.0001
time (days since 1950-01-01 00:00:00) Time 1.1574074074074073e-05
uavg_profile (m/s) Radial speed profile 0.0001


Field access

To access the total field, here `amplitude`

eddies_collections.amplitude

# To access only a specific part of the field
eddies_collections.amplitude[4:15]
array([0.012, 0.008, 0.021, 0.066, 0.016, 0.029, 0.017, 0.006, 0.029,
       0.112, 0.009], dtype=float32)

Data matrix is a numpy ndarray

array([(24241., [36.12    , 36.14    , 36.149998, 36.17    , 36.18    , 36.2     , 36.23    , 36.25    , 36.27    , 36.3     , 36.32    , 36.34    , 36.36    , 36.38    , 36.399998, 36.42    , 36.44    , 36.45    , 36.45    , 36.45    , 36.46    , 36.46    , 36.45    , 36.43    , 36.42    , 36.41    , 36.399998, 36.38    , 36.37    , 36.35    , 36.329998, 36.309998, 36.29    , 36.27    , 36.239998, 36.219997, 36.2     , 36.18    , 36.17    , 36.149998, 36.14    , 36.13    , 36.12    , 36.11    , 36.1     , 36.1     , 36.11    , 36.11    , 36.12    , 36.12    ], 0., [0.0921, 0.0937, 0.0953, 0.0969, 0.0985, 0.1001, 0.1013, 0.1021, 0.103 , 0.1039, 0.1047, 0.1055, 0.1058, 0.1062, 0.1065, 0.1068, 0.1071, 0.1072, 0.1072, 0.1072, 0.1072, 0.1072, 0.1071, 0.1068, 0.1064, 0.1061, 0.1057, 0.1054, 0.1048, 0.1042, 0.1035, 0.1029, 0.1023, 0.1015, 0.1006, 0.0996, 0.0987, 0.0978, 0.0968, 0.0953, 0.0936, 0.092 , 0.0904, 0.0887, 0.0865, 0.0837, 0.0808, 0.078 , 0.0751, 0.0723],  24.67832184, 0., [36.059998, 36.079998, 36.1     , 36.13    , 36.149998, 36.18    , 36.219997, 36.25    , 36.28    , 36.32    , 36.35    , 36.39    , 36.43    , 36.46    , 36.489998, 36.52    , 36.55    , 36.559998, 36.57    , 36.579998, 36.6     , 36.61    , 36.62    , 36.59    , 36.559998, 36.54    , 36.52    , 36.51    , 36.489998, 36.469997, 36.45    , 36.42    , 36.38    , 36.35    , 36.32    , 36.28    , 36.239998, 36.21    , 36.18    , 36.149998, 36.13    , 36.11    , 36.09    , 36.079998, 36.059998, 36.05    , 36.03    , 36.04    , 36.05    , 36.059998], 0.019, 36.27646255,  0.014, 36.24961853, 10,  3.200000e-02, [2.45599976e+01, 2.45299988e+01, 2.45000000e+01, 2.44600067e+01, 2.44300079e+01, 2.44100037e+01, 2.43899994e+01, 2.43700104e+01, 2.43600006e+01, 2.43500061e+01, 2.43500061e+01, 2.43399963e+01, 2.43399963e+01, 2.43600006e+01, 2.43800049e+01, 2.44100037e+01, 2.44300079e+01, 2.44700012e+01, 2.45100098e+01, 2.45599976e+01, 2.46000061e+01, 2.46399994e+01, 2.46800079e+01, 2.46999969e+01, 2.47200012e+01, 2.47600098e+01, 2.48000031e+01, 2.48399963e+01, 2.48800049e+01, 2.49199982e+01, 2.49499969e+01, 2.49600067e+01, 2.49800110e+01, 2.49900055e+01, 2.50100098e+01, 2.50100098e+01, 2.50100098e+01, 2.50100098e+01, 2.50000000e+01, 2.49700012e+01, 2.49300079e+01, 2.48899994e+01, 2.48500061e+01, 2.48200073e+01, 2.47700043e+01, 2.47300110e+01, 2.46900024e+01, 2.46500092e+01, 2.46100006e+01, 2.45599976e+01],  7.5, 30100., 13, 12. , 21,  24.67997169, [2.45599976e+01, 2.45400085e+01, 2.45200043e+01, 2.45000000e+01, 2.44800110e+01, 2.44800110e+01, 2.44800110e+01, 2.44800110e+01, 2.44800110e+01, 2.44800110e+01, 2.44800110e+01, 2.44900055e+01, 2.45000000e+01, 2.45200043e+01, 2.45299988e+01, 2.45400085e+01, 2.45500031e+01, 2.45800018e+01, 2.46100006e+01, 2.46399994e+01, 2.46600037e+01, 2.46900024e+01, 2.47200012e+01, 2.47400055e+01, 2.47700043e+01, 2.47900085e+01, 2.48200073e+01, 2.48300018e+01, 2.48500061e+01, 2.48700104e+01, 2.48800049e+01, 2.49000092e+01, 2.49000092e+01, 2.48899994e+01, 2.48899994e+01, 2.48899994e+01, 2.48899994e+01, 2.48700104e+01, 2.48500061e+01, 2.48300018e+01, 2.48000031e+01, 2.47799988e+01, 2.47500000e+01, 2.47300110e+01, 2.46999969e+01, 2.46699982e+01, 2.46500092e+01, 2.46200104e+01, 2.45899963e+01, 2.45599976e+01],  2.400000e-02, 0.1072, 19300.),
       (24241., [35.66    , 35.69    , 35.719997, 35.76    , 35.8     , 35.829998, 35.86    , 35.87    , 35.88    , 35.91    , 35.94    , 35.98    , 36.02    , 36.059998, 36.09    , 36.11    , 36.14    , 36.16    , 36.18    , 36.2     , 36.2     , 36.2     , 36.19    , 36.17    , 36.14    , 36.11    , 36.079998, 36.04    , 36.      , 35.969997, 35.93    , 35.89    , 35.85    , 35.82    , 35.79    , 35.76    , 35.739998, 35.719997, 35.69    , 35.68    , 35.67    , 35.68    , 35.7     , 35.73    , 35.71    , 35.69    , 35.67    , 35.67    , 35.67    , 35.66    ], 0., [0.0829, 0.082 , 0.081 , 0.0801, 0.0791, 0.0782, 0.0772, 0.0763, 0.0753, 0.0744, 0.0734, 0.0725, 0.0715, 0.0706, 0.0698, 0.0689, 0.068 , 0.0671, 0.0663, 0.0654, 0.0645, 0.0636, 0.0628, 0.0619, 0.061 , 0.06  , 0.0587, 0.0575, 0.0563, 0.055 , 0.0538, 0.0526, 0.0513, 0.0501, 0.0489, 0.0477, 0.0464, 0.0453, 0.0446, 0.0439, 0.0431, 0.0424, 0.0417, 0.041 , 0.0402, 0.0395, 0.0388, 0.038 , 0.0373, 0.0366],  25.51566505, 0., [35.66    , 35.69    , 35.719997, 35.76    , 35.8     , 35.829998, 35.86    , 35.87    , 35.88    , 35.91    , 35.94    , 35.98    , 36.02    , 36.059998, 36.09    , 36.11    , 36.14    , 36.16    , 36.18    , 36.2     , 36.2     , 36.2     , 36.19    , 36.17    , 36.14    , 36.11    , 36.079998, 36.04    , 36.      , 35.969997, 35.93    , 35.89    , 35.85    , 35.82    , 35.79    , 35.76    , 35.739998, 35.719997, 35.69    , 35.68    , 35.67    , 35.68    , 35.7     , 35.73    , 35.71    , 35.69    , 35.67    , 35.67    , 35.67    , 35.66    ], 0.008, 35.9116745 ,  0.018, 36.00188065,  5,  2.600000e-02, [2.51900024e+01, 2.51500092e+01, 2.51399994e+01, 2.51399994e+01, 2.51399994e+01, 2.51600037e+01, 2.51999969e+01, 2.52400055e+01, 2.52900085e+01, 2.53200073e+01, 2.53399963e+01, 2.53399963e+01, 2.53500061e+01, 2.53600006e+01, 2.53899994e+01, 2.54199982e+01, 2.54600067e+01, 2.55000000e+01, 2.55299988e+01, 2.55800018e+01, 2.56300049e+01, 2.56699982e+01, 2.57200012e+01, 2.57600098e+01, 2.57900085e+01, 2.58099976e+01, 2.58399963e+01, 2.58500061e+01, 2.58600006e+01, 2.58600006e+01, 2.58600006e+01, 2.58500061e+01, 2.58399963e+01, 2.58200073e+01, 2.58000031e+01, 2.57600098e+01, 2.57200012e+01, 2.56800079e+01, 2.56399994e+01, 2.56000061e+01, 2.55599976e+01, 2.55100098e+01, 2.54700012e+01, 2.54400024e+01, 2.54100037e+01, 2.53700104e+01, 2.53300018e+01, 2.52799988e+01, 2.52300110e+01, 2.51900024e+01], 34. , 30000., 25, 34. , 25,  25.56306267, [2.51900024e+01, 2.51500092e+01, 2.51399994e+01, 2.51399994e+01, 2.51399994e+01, 2.51600037e+01, 2.51999969e+01, 2.52400055e+01, 2.52900085e+01, 2.53200073e+01, 2.53399963e+01, 2.53399963e+01, 2.53500061e+01, 2.53600006e+01, 2.53899994e+01, 2.54199982e+01, 2.54600067e+01, 2.55000000e+01, 2.55299988e+01, 2.55800018e+01, 2.56300049e+01, 2.56699982e+01, 2.57200012e+01, 2.57600098e+01, 2.57900085e+01, 2.58099976e+01, 2.58399963e+01, 2.58500061e+01, 2.58600006e+01, 2.58600006e+01, 2.58600006e+01, 2.58500061e+01, 2.58399963e+01, 2.58200073e+01, 2.58000031e+01, 2.57600098e+01, 2.57200012e+01, 2.56800079e+01, 2.56399994e+01, 2.56000061e+01, 2.55599976e+01, 2.55100098e+01, 2.54700012e+01, 2.54400024e+01, 2.54100037e+01, 2.53700104e+01, 2.53300018e+01, 2.52799988e+01, 2.52300110e+01, 2.51900024e+01],  2.600000e-02, 0.0829, 30000.),
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      dtype=[('time', '<f8'), ('contour_lat_s', '<f4', (50,)), ('effective_area', '<f4'), ('uavg_profile', '<f4', (50,)), ('lon', '<f8'), ('speed_area', '<f4'), ('contour_lat_e', '<f4', (50,)), ('amplitude', '<f4'), ('lat', '<f8'), ('height_inner_contour', '<f4'), ('lat_max', '<f8'), ('nb_contour_selected', '<u2'), ('height_external_contour', '<f4'), ('contour_lon_e', '<f4', (50,)), ('shape_error_s', '<f2'), ('radius_e', '<f4'), ('num_point_s', '<u2'), ('shape_error_e', '<f2'), ('num_point_e', '<u2'), ('lon_max', '<f8'), ('contour_lon_s', '<f4', (50,)), ('height_max_speed_contour', '<f4'), ('speed_average', '<f4'), ('radius_s', '<f4')])
dtype([('time', '<f8'), ('contour_lat_s', '<f4', (50,)), ('effective_area', '<f4'), ('uavg_profile', '<f4', (50,)), ('lon', '<f8'), ('speed_area', '<f4'), ('contour_lat_e', '<f4', (50,)), ('amplitude', '<f4'), ('lat', '<f8'), ('height_inner_contour', '<f4'), ('lat_max', '<f8'), ('nb_contour_selected', '<u2'), ('height_external_contour', '<f4'), ('contour_lon_e', '<f4', (50,)), ('shape_error_s', '<f2'), ('radius_e', '<f4'), ('num_point_s', '<u2'), ('shape_error_e', '<f2'), ('num_point_e', '<u2'), ('lon_max', '<f8'), ('contour_lon_s', '<f4', (50,)), ('height_max_speed_contour', '<f4'), ('speed_average', '<f4'), ('radius_s', '<f4')])

Contour storage

All contours are stored on the same number of points, and are resampled if needed with an algorithm to be stored as objects

Speed profile storage

Speed profile is an interpolation of speed mean along each contour. For each contour included in eddy, we compute mean of speed along the contour, and after we interpolate speed mean array on a fixed size array.

Several field are available to understand “uavg_profile” :
    • num_contours : Number of contour in eddies, must be equal to amplitude divide by isoline step

    • height_inner_contour : height of inner contour used

    • height_max_speed_contour : height of max speed contour used

    • height_external_contour : height of outter contour used

Last value of “uavg_profile” is for inner contour and first value for outter contour.

# Observations selection of "uavg_profile" with high number of contour(Eddy with high amplitude)
e = eddies_collections.extract_with_mask(eddies_collections.num_contours > 15)
# Raw display of profiles with more than 15 contours
ax = plt.subplot(111)
_ = ax.plot(e.uavg_profile.T, lw=0.5)
pet storage
# Profile from inner to outter
ax = plt.subplot(111)
ax.plot(e.uavg_profile[:, ::-1].T, lw=0.5)
_ = ax.set_xlabel("From inner to outter contour"), ax.set_ylabel("Speed (m/s)")
pet storage
# If we normalize indice of contour to set speed contour to 1 and inner contour to 0
ax = plt.subplot(111)
h_in = e.height_inner_contour
h_s = e.height_max_speed_contour
h_e = e.height_external_contour
r = (h_e - h_in) / (h_s - h_in)
nb_pt = e.uavg_profile.shape[1]
# Create an x array for each profile
x = outer(arange(nb_pt) / nb_pt, r)

ax.plot(x, e.uavg_profile[:, ::-1].T, lw=0.5)
_ = ax.set_xlabel("From inner to outter contour"), ax.set_ylabel("Speed (m/s)")
pet storage

Trajectories

Tracks eddies collections add several fields :

  • track : Trajectory number

  • observation_flag : Flag indicating if the value is interpolated between two observations or not (0: observed eddy, 1: interpolated eddy)”

  • observation_number : Eddy temporal index in a trajectory, days starting at the eddy first detection

  • cost_association : result of the cost function to associate the eddy with the next observation

eddies_tracks = TrackEddiesObservations.load_file(
    py_eddy_tracker_sample.get_demo_path("eddies_med_adt_allsat_dt2018/Cyclonic.zarr")
)
# In this example some fields are removed (effective_contour_longitude,...) in order to save time for doc building
eddies_tracks.field_table()
File was created with py-eddy-tracker version 'None' but software version is '3.6'
Name (Unit) Long name Scale factor Offset
amplitude (m) Amplitude 0.0001
speed_contour_latitude (degrees_east) Speed contour latitudes 0.01
speed_contour_longitude (degrees_east) Speed contour longitudes 0.01 180.0
cost_association () Cost association between two eddies
effective_area (m^2) Effective area
effective_contour_height (m) Effective contour height
inner_contour_height (m) Inner contour height
speed_contour_height (m) Speed contour height
latitude (degrees_north) Eddy center latitude
longitude (degrees_east) Eddy center longitude
observation_number () Eddy temporal index in a trajectory
num_contours () Number of contours
num_point_e (ordinal) Number of points for effective contour
num_point_s (ordinal) Number of points for speed contour
effective_radius (m) Effective radius 50.0
speed_radius (m) Speed radius 50.0
effective_contour_shape_error (%) Effective contour shape error 0.5
speed_contour_shape_error (%) Speed contour shape error 0.5
speed_area (m^2) Speed area
speed_average (m/s) Maximum circum-averaged speed 0.0001
time (days since 1950-01-01 00:00:00) Time 1.1574074074074073e-05
track () Trajectory number
observation_flag () Virtual eddy position


Networks

Network files use some specific fields :

  • track : ID of network (ID 0 correspond to lonely eddies)

  • segment : ID of a segment within a network (from 1 to N)

  • previous_obs : Index of the previous observation in the full dataset, if -1 there are no previous observation (the segment starts)

  • next_obs : Index of the next observation in the full dataset, if -1 there are no next observation (the segment ends)

  • previous_cost : Result of the cost function (1 is a good association, 0 is bad) with previous observation

  • next_cost : Result of the cost function (1 is a good association, 0 is bad) with next observation

File was created with py-eddy-tracker version '3.3.0+102.g9f43829.dirty' but software version is '3.6'
Name (Unit) Long name Scale factor Offset
amplitude (m) Amplitude 0.0001
effective_contour_latitude (degrees_east) Effective contour latitudes 0.01
speed_contour_latitude (degrees_east) Speed contour latitudes 0.01
effective_contour_longitude (degrees_east) Effective contour longitudes 0.01 180.0
speed_contour_longitude (degrees_east) Speed contour longitudes 0.01 180.0
effective_area (m^2) Effective area
effective_contour_height (m) Effective contour height
inner_contour_height (m) Inner contour height
speed_contour_height (m) Speed contour height
latitude (degrees_north) Eddy center latitude
latitude_max (degrees_north) Latitude of the ssh maximum
longitude (degrees_east) Eddy center longitude
longitude_max (degrees_east) Longitude of the ssh maximum
num_contours () Number of contours
next_cost () Next cost for next observation
next_obs () Next observation index
num_point_e (ordinal) Number of points for effective contour
num_point_s (ordinal) Number of points for speed contour
previous_cost () Previous cost for previous observation
previous_obs () Previous observation index
effective_radius (m) Effective radius 50.0
speed_radius (m) Speed radius 50.0
segment () Segment number
effective_contour_shape_error (%) Effective contour shape error 0.5
speed_contour_shape_error (%) Speed contour shape error 0.5
speed_area (m^2) Speed area
speed_average (m/s) Maximum circum-averaged speed 0.0001
time (days since 1950-01-01 00:00:00) Time 1.1574074074074073e-05
track () Trajectory number


sl = slice(70, 100)
Table(
    eddies_network.network(651).obs[sl][
        [
            "time",
            "track",
            "segment",
            "previous_obs",
            "previous_cost",
            "next_obs",
            "next_cost",
        ]
    ]
)
time track segment previous_obs previous_cost next_obs next_cost
19429.0 651 1 69 0.23581211268901825 71 0.2554466426372528
19430.0 651 1 70 0.2554466426372528 72 0.8462464213371277
19431.0 651 1 71 0.8462464213371277 73 0.8754492998123169
19432.0 651 1 72 0.8754492998123169 74 0.7123277187347412
19433.0 651 1 73 0.7123277187347412 75 0.67067950963974
19434.0 651 1 74 0.67067950963974 76 0.6210246682167053
19435.0 651 1 75 0.6210246682167053 77 0.522062361240387
19436.0 651 1 76 0.522062361240387 -1 0.0
19358.0 651 2 -1 0.0 79 0.402633398771286
19362.0 651 2 78 0.402633398771286 80 0.777690052986145
19363.0 651 2 79 0.777690052986145 81 0.8288886547088623
19364.0 651 2 80 0.8288886547088623 82 0.6021637916564941
19365.0 651 2 81 0.6021637916564941 83 0.8764838576316833
19366.0 651 2 82 0.8764838576316833 84 0.9451242685317993
19367.0 651 2 83 0.9451242685317993 85 0.9149201512336731
19368.0 651 2 84 0.9149201512336731 86 0.8744906187057495
19369.0 651 2 85 0.8744906187057495 87 0.8120185136795044
19370.0 651 2 86 0.8120185136795044 88 0.8128279447555542
19371.0 651 2 87 0.8128279447555542 89 0.6470085978507996
19372.0 651 2 88 0.6470085978507996 90 0.6680504083633423
19373.0 651 2 89 0.6680504083633423 91 0.7181594371795654
19374.0 651 2 90 0.7181594371795654 92 0.4582216441631317
19375.0 651 2 91 0.4582216441631317 21 0.07093839347362518
19358.0 651 3 -1 0.0 94 0.791400671005249
19359.0 651 3 93 0.791400671005249 95 0.6779152154922485
19360.0 651 3 94 0.6779152154922485 96 0.607921838760376
19361.0 651 3 95 0.607921838760376 97 0.6897501349449158
19362.0 651 3 96 0.6897501349449158 98 0.8126839995384216
19363.0 651 3 97 0.8126839995384216 99 0.8505954742431641
19364.0 651 3 98 0.8505954742431641 100 0.7756017446517944


Networks are ordered by increasing network number (track), then increasing segment number, then increasing time

Total running time of the script: ( 0 minutes 3.148 seconds)

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