Note
Go to the end to download the full example code or to run this example in your browser via Binder
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 trajectoryNetwork 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:
zarr (https://zarr.readthedocs.io/en/stable/), which allow efficiency in IO,…
NetCDF4 (https://unidata.github.io/netcdf4-python/), well-known format
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'
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)
# 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)")
# 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)")
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'
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
eddies_network = NetworkObservations.load_file(get_demo_path("network_med.nc"))
eddies_network.field_table()
File was created with py-eddy-tracker version '3.3.0+102.g9f43829.dirty' but software version is '3.6'
sl = slice(70, 100)
Table(
eddies_network.network(651).obs[sl][
[
"time",
"track",
"segment",
"previous_obs",
"previous_cost",
"next_obs",
"next_cost",
]
]
)
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)