9Day subsampling on the OceanColor Dataset


In [2]:
import xarray as xr
import numpy as np
import pandas as pd
%matplotlib inline
from matplotlib import pyplot as plt
from dask.diagnostics import ProgressBar
import seaborn as sns
from matplotlib.colors import LogNorm

Load data from disk

We already downloaded a subsetted MODIS-Aqua chlorophyll-a dataset for the Arabian Sea.

We can read all the netcdf files into one xarray Dataset using the open_mfsdataset function. Note that this does not load the data into memory yet. That only happens when we try to access the values.


In [3]:
ds_8day = xr.open_mfdataset('./data_collector_modisa_chla9km/ModisA_Arabian_Sea_chlor_a_9km_*_8D.nc')
ds_daily = xr.open_mfdataset('./data_collector_modisa_chla9km/ModisA_Arabian_Sea_chlor_a_9km_*_D.nc')
both_datasets = [ds_8day, ds_daily]

How much data is contained here? Let's get the answer in MB.


In [4]:
print([(ds.nbytes / 1e6) for ds in both_datasets])


[534.295504, 4241.4716]

The 8-day dataset is ~534 MB while the daily dataset is 4.2 GB. These both easily fit in RAM. So let's load them all into memory


In [5]:
[ds.load() for ds in both_datasets]


Out[5]:
[<xarray.Dataset>
 Dimensions:        (eightbitcolor: 256, lat: 276, lon: 360, rgb: 3, time: 667)
 Coordinates:
   * lat            (lat) float64 27.96 27.87 27.79 27.71 27.62 27.54 27.46 ...
   * lon            (lon) float64 45.04 45.13 45.21 45.29 45.38 45.46 45.54 ...
   * rgb            (rgb) int64 0 1 2
   * eightbitcolor  (eightbitcolor) int64 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 ...
   * time           (time) datetime64[ns] 2002-07-04 2002-07-12 2002-07-20 ...
 Data variables:
     chlor_a        (time, lat, lon) float64 nan nan nan nan nan nan nan nan ...
     palette        (time, rgb, eightbitcolor) float64 -109.0 0.0 108.0 ...,
 <xarray.Dataset>
 Dimensions:        (eightbitcolor: 256, lat: 276, lon: 360, rgb: 3, time: 5295)
 Coordinates:
   * lat            (lat) float64 27.96 27.87 27.79 27.71 27.62 27.54 27.46 ...
   * lon            (lon) float64 45.04 45.13 45.21 45.29 45.38 45.46 45.54 ...
   * rgb            (rgb) int64 0 1 2
   * eightbitcolor  (eightbitcolor) int64 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 ...
   * time           (time) datetime64[ns] 2002-07-04 2002-07-05 2002-07-06 ...
 Data variables:
     chlor_a        (time, lat, lon) float64 nan nan nan nan nan nan nan nan ...
     palette        (time, rgb, eightbitcolor) float64 -109.0 0.0 108.0 ...]

Fix bad data

In preparing this demo, I noticed that small number of maps had bad data--specifically, they contained large negative values of chlorophyll concentration. Looking closer, I realized that the land/cloud mask had been inverted. So I wrote a function to invert it back and correct the data.


In [6]:
def fix_bad_data(ds):
    # for some reason, the cloud / land mask is backwards on some data
    # this is obvious because there are chlorophyl values less than zero
    bad_data = ds.chlor_a.groupby('time').min() < 0
    # loop through and fix
    for n in np.nonzero(bad_data.values)[0]:
        data = ds.chlor_a[n].values 
        ds.chlor_a.values[n] = np.ma.masked_less(data, 0).filled(np.nan)

In [7]:
[fix_bad_data(ds) for ds in both_datasets]


/Users/vyan2000/local/miniconda3/envs/condapython3/lib/python3.5/site-packages/xarray/core/variable.py:1046: RuntimeWarning: invalid value encountered in less
  if not reflexive
Out[7]:
[None, None]

In [8]:
ds_8day.chlor_a>0


/Users/vyan2000/local/miniconda3/envs/condapython3/lib/python3.5/site-packages/xarray/core/variable.py:1046: RuntimeWarning: invalid value encountered in greater
  if not reflexive
Out[8]:
<xarray.DataArray 'chlor_a' (time: 667, lat: 276, lon: 360)>
array([[[False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        ..., 
        [False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False]],

       [[False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        ..., 
        [False, False, False, ..., False, False, False],
        [False, False, False, ...,  True, False, False],
        [False, False, False, ..., False, False, False]],

       [[False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        ..., 
        [False, False, False, ..., False, False,  True],
        [False, False, False, ..., False, False, False],
        [False, False, False, ..., False,  True,  True]],

       ..., 
       [[False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        ..., 
        [False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False]],

       [[False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        ..., 
        [False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False]],

       [[False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        ..., 
        [False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False],
        [False, False, False, ..., False, False, False]]], dtype=bool)
Coordinates:
  * lat      (lat) float64 27.96 27.87 27.79 27.71 27.62 27.54 27.46 27.37 ...
  * lon      (lon) float64 45.04 45.13 45.21 45.29 45.38 45.46 45.54 45.63 ...
  * time     (time) datetime64[ns] 2002-07-04 2002-07-12 2002-07-20 ...

Count the number of ocean data points

First we have to figure out the land mask. Unfortunately it doesn't come with the dataset. But we can infer it by counting all the points that have at least one non-nan chlorophyll value.


In [9]:
(ds_8day.chlor_a>0).sum(dim='time').plot()


/Users/vyan2000/local/miniconda3/envs/condapython3/lib/python3.5/site-packages/xarray/core/variable.py:1046: RuntimeWarning: invalid value encountered in greater
  if not reflexive
Out[9]:
<matplotlib.collections.QuadMesh at 0x1196571d0>

In [10]:
#  find a mask for the land
ocean_mask = (ds_8day.chlor_a>0).sum(dim='time')>0
#ocean_mask = (ds_daily.chlor_a>0).sum(dim='time')>0
num_ocean_points = ocean_mask.sum().values  # compute the total nonzeros regions(data point)
ocean_mask.plot()
plt.title('%g total ocean points' % num_ocean_points)


/Users/vyan2000/local/miniconda3/envs/condapython3/lib/python3.5/site-packages/xarray/core/variable.py:1046: RuntimeWarning: invalid value encountered in greater
  if not reflexive
Out[10]:
<matplotlib.text.Text at 0x13d467a20>

In [11]:
#ds_8day

In [14]:
#ds_daily

In [16]:
plt.figure(figsize=(8,6))
ds_daily.chlor_a.sel(time='2002-11-18',method='nearest').plot(norm=LogNorm())
#ds_daily.chlor_a.sel(time=target_date, method='nearest').plot(norm=LogNorm())


Out[16]:
<matplotlib.collections.QuadMesh at 0x11dc4f8d0>
/Users/vyan2000/local/miniconda3/envs/condapython3/lib/python3.5/site-packages/matplotlib/colors.py:1022: RuntimeWarning: invalid value encountered in less_equal
  mask |= resdat <= 0

In [28]:
#list(ds_daily.groupby('time')) # take a look at what's inside

Now we count up the number of valid points in each snapshot and divide by the total number of ocean points.


In [29]:
'''
<xarray.Dataset>
Dimensions:        (eightbitcolor: 256, lat: 144, lon: 276, rgb: 3, time: 4748)
'''
ds_daily.groupby('time').count() # information from original data


Out[29]:
<xarray.Dataset>
Dimensions:  (time: 5295)
Coordinates:
  * time     (time) datetime64[ns] 2002-07-04 2002-07-05 2002-07-06 ...
Data variables:
    chlor_a  (time) int64 658 1170 1532 2798 2632 1100 1321 636 2711 1163 ...
    palette  (time) int64 768 768 768 768 768 768 768 768 768 768 768 768 ...

In [ ]:


In [30]:
ds_daily.chlor_a.groupby('time').count()/float(num_ocean_points)


Out[30]:
<xarray.DataArray 'chlor_a' (time: 5295)>
array([ 0.01053255,  0.01872809,  0.02452259, ...,  0.        ,
        0.        ,  0.        ])
Coordinates:
  * time     (time) datetime64[ns] 2002-07-04 2002-07-05 2002-07-06 ...

In [31]:
count_8day,count_daily = [ds.chlor_a.groupby('time').count()/float(num_ocean_points)
                            for ds in (ds_8day,ds_daily)]

In [32]:
#count_8day = ds_8day.chl_ocx.groupby('time').count()/float(num_ocean_points)
#coundt_daily = ds_daily.chl_ocx.groupby('time').count()/float(num_ocean_points)

#count_8day, coundt_daily = [ds.chl_ocx.groupby('time').count()/float(num_ocean_points)
#                            for ds in ds_8day, ds_daily] # not work in python 3

In [33]:
plt.figure(figsize=(12,4))
count_8day.plot(color='k')
count_daily.plot(color='r')

plt.legend(['8 day','daily'])


Out[33]:
<matplotlib.legend.Legend at 0x11bf9e160>

Seasonal Climatology


In [34]:
count_8day_clim, coundt_daily_clim = [count.groupby('time.month').mean()  # monthly data
                                      for count in (count_8day, count_daily)]

In [35]:
# mean value of the monthly data on the count of nonzeros
plt.figure(figsize=(12,4))
count_8day_clim.plot(color='k')
coundt_daily_clim.plot(color='r')
plt.legend(['8 day', 'daily'])


Out[35]:
<matplotlib.legend.Legend at 0x11da4c2e8>

From the above figure, we see that data coverage is highest in the winter (especially Feburary) and lowest in summer.

Maps of individual days

Let's grab some data from Febrauary and plot it.


In [36]:
target_date = '2003-02-15'
plt.figure(figsize=(8,6))
ds_8day.chlor_a.sel(time=target_date, method='nearest').plot(norm=LogNorm())


Out[36]:
<matplotlib.collections.QuadMesh at 0x11de1d780>
/Users/vyan2000/local/miniconda3/envs/condapython3/lib/python3.5/site-packages/matplotlib/colors.py:1022: RuntimeWarning: invalid value encountered in less_equal
  mask |= resdat <= 0

In [37]:
plt.figure(figsize=(8,6))
ds_daily.chlor_a.sel(time=target_date, method='nearest').plot(norm=LogNorm())


Out[37]:
<matplotlib.collections.QuadMesh at 0x11e278f28>
/Users/vyan2000/local/miniconda3/envs/condapython3/lib/python3.5/site-packages/matplotlib/colors.py:1022: RuntimeWarning: invalid value encountered in less_equal
  mask |= resdat <= 0

In [38]:
ds_daily.chlor_a[0].sel_points(lon=[65, 70], lat=[16, 18], method='nearest')   # the time is selected!
#ds_daily.chl_ocx[0].sel_points(time= times, lon=lons, lat=times, method='nearest')


Out[38]:
<xarray.DataArray 'chlor_a' (points: 2)>
array([ nan,  nan])
Coordinates:
    time     datetime64[ns] 2002-07-04
    lon      (points) float64 65.04 70.04
    lat      (points) float64 16.04 18.04
  * points   (points) int64 0 1

In [42]:
df = pd.DataFrame([[1.4, np.nan], [7.1, -4.5], [np.nan, np.nan], [0.75, -1.3]], 
               index=['a', 'b', 'c', 'd'], columns=['one', 'two'])
df.mean(axis=1,skipna=None) # try skipna=False, skipna=True(seems to equiv to skipna=None)


Out[42]:
a    1.400
b    1.300
c      NaN
d   -0.275
dtype: float64

In [43]:
ds_9day = ds_daily.resample('9D', dim='time')  # see the above for doc, test case, & default behavior
ds_9day


Out[43]:
<xarray.Dataset>
Dimensions:        (eightbitcolor: 256, lat: 276, lon: 360, rgb: 3, time: 589)
Coordinates:
  * lat            (lat) float64 27.96 27.87 27.79 27.71 27.62 27.54 27.46 ...
  * lon            (lon) float64 45.04 45.13 45.21 45.29 45.38 45.46 45.54 ...
  * rgb            (rgb) int64 0 1 2
  * eightbitcolor  (eightbitcolor) int64 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 ...
  * time           (time) datetime64[ns] 2002-07-04 2002-07-13 2002-07-22 ...
Data variables:
    chlor_a        (time, lat, lon) float64 nan nan nan nan nan nan nan nan ...
    palette        (time, rgb, eightbitcolor) float64 -109.0 0.0 108.0 ...

In [44]:
plt.figure(figsize=(8,6))
ds_9day.chlor_a.sel(time=target_date, method='nearest').plot(norm=LogNorm())


Out[44]:
<matplotlib.collections.QuadMesh at 0x11e16bd30>
/Users/vyan2000/local/miniconda3/envs/condapython3/lib/python3.5/site-packages/matplotlib/colors.py:1022: RuntimeWarning: invalid value encountered in less_equal
  mask |= resdat <= 0

In [45]:
# check the range for the longitude
print(ds_9day.lon.min(),'\n' ,ds_9day.lat.min())


<xarray.DataArray 'lon' ()>
array(45.04166793823242) 
 <xarray.DataArray 'lat' ()>
array(5.041661739349365)

++++++++++++++++++++++++++++++++++++++++++++++

All GDP Floats

Load the float data

Map a (time, lon, lat) to a value on the cholorphlly value


In [46]:
# in the following we deal with the data from the gdp float
from buyodata import buoydata
import os

In [47]:
# a list of files
fnamesAll = ['./gdp_float/buoydata_1_5000.dat','./gdp_float/buoydata_5001_10000.dat','./gdp_float/buoydata_10001_15000.dat','./gdp_float/buoydata_15001_jun16.dat']

In [48]:
# read them and cancatenate them into one DataFrame
dfAll = pd.concat([buoydata.read_buoy_data(f) for f in fnamesAll])  # around 4~5 minutes

#mask = df.time>='2002-07-04' # we only have data after this data for chlor_a
dfvvAll = dfAll[dfAll.time>='2002-07-04']

sum(dfvvAll.time<'2002-07-04') # recheck whether the time is


Out[48]:
0

In [49]:
# process the data so that the longitude are all >0
print('before processing, the minimum longitude is%f4.3 and maximum is %f4.3' % (dfvvAll.lon.min(), dfvvAll.lon.max()))
mask = dfvvAll.lon<0
dfvvAll.lon[mask] = dfvvAll.loc[mask].lon + 360
print('after processing, the minimum longitude is %f4.3 and maximum is %f4.3' % (dfvvAll.lon.min(),dfvvAll.lon.max()) )

dfvvAll.describe()


before processing, the minimum longitude is0.0000004.3 and maximum is 360.0000004.3
/Users/vyan2000/local/miniconda3/envs/condapython3/lib/python3.5/site-packages/ipykernel/__main__.py:4: SettingWithCopyWarning: 
A value is trying to be set on a copy of a slice from a DataFrame

See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy
/Users/vyan2000/local/miniconda3/envs/condapython3/lib/python3.5/site-packages/pandas/core/generic.py:4695: SettingWithCopyWarning: 
A value is trying to be set on a copy of a slice from a DataFrame

See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy
  self._update_inplace(new_data)
/Users/vyan2000/local/miniconda3/envs/condapython3/lib/python3.5/site-packages/IPython/core/interactiveshell.py:2881: SettingWithCopyWarning: 
A value is trying to be set on a copy of a slice from a DataFrame

See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy
  exec(code_obj, self.user_global_ns, self.user_ns)
after processing, the minimum longitude is 0.0000004.3 and maximum is 360.0000004.3
Out[49]:
id lat lon temp ve vn spd var_lat var_lon var_tmp
count 2.147732e+07 2.131997e+07 2.131997e+07 1.986179e+07 2.129142e+07 2.129142e+07 2.129142e+07 2.147732e+07 2.147732e+07 2.147732e+07
mean 1.765662e+06 -2.263128e+00 2.124412e+02 1.986121e+01 2.454172e-01 4.708192e-01 2.613427e+01 7.326258e+00 7.326555e+00 7.522298e+01
std 9.452835e+06 3.401115e+01 9.746941e+01 8.339498e+00 2.525050e+01 2.052160e+01 1.939087e+01 8.527853e+01 8.527851e+01 2.637454e+02
min 2.578000e+03 -7.764700e+01 0.000000e+00 -1.685000e+01 -2.916220e+02 -2.601400e+02 0.000000e+00 5.268300e-07 -3.941600e-02 1.001300e-03
25% 4.897500e+04 -3.186000e+01 1.490720e+02 1.437300e+01 -1.411400e+01 -1.044700e+01 1.290300e+01 4.366500e-06 7.512600e-06 1.435700e-03
50% 7.141300e+04 -4.920000e+00 2.153940e+02 2.214400e+01 -5.560000e-01 1.970000e-01 2.176700e+01 8.833600e-06 1.495800e-05 1.691700e-03
75% 1.094330e+05 2.756000e+01 3.064370e+02 2.688900e+01 1.356100e+01 1.109300e+01 3.405900e+01 1.833300e-05 3.627900e-05 2.294200e-03
max 6.399288e+07 8.989900e+01 3.600000e+02 4.595000e+01 4.417070e+02 2.783220e+02 4.421750e+02 1.000000e+03 1.000000e+03 1.000000e+03

In [50]:
# Select only the arabian sea region
arabian_sea = (dfvvAll.lon > 45) & (dfvvAll.lon< 75) & (dfvvAll.lat> 5) & (dfvvAll.lat <28)
# arabian_sea = {'lon': slice(45,75), 'lat': slice(5,28)} # later use this longitude and latitude
floatsAll = dfvvAll.loc[arabian_sea]   # directly use mask
print('dfvvAll.shape is %s, floatsAll.shape is %s' % (dfvvAll.shape, floatsAll.shape) )


dfvvAll.shape is (21477317, 11), floatsAll.shape is (111894, 11)

In [51]:
# visualize the float around global region
fig, ax  = plt.subplots(figsize=(12,10))
dfvvAll.plot(kind='scatter', x='lon', y='lat', c='temp', cmap='RdBu_r', edgecolor='none', ax=ax)

# visualize the float around the arabian sea region
fig, ax  = plt.subplots(figsize=(12,10))
floatsAll.plot(kind='scatter', x='lon', y='lat', c='temp', cmap='RdBu_r', edgecolor='none', ax=ax)


Out[51]:
<matplotlib.axes._subplots.AxesSubplot at 0x11e2cceb8>

In [52]:
# pands dataframe cannot do the resamplingn properly
# cause we are really indexing on ['time','id'], pandas.dataframe.resample cannot do this
# TypeError: Only valid with DatetimeIndex, TimedeltaIndex or PeriodIndex, but got an instance of 'MultiIndex'
print()




In [53]:
# dump the surface floater data from pandas.dataframe to xarray.dataset
floatsDSAll = xr.Dataset.from_dataframe(floatsAll.set_index(['time','id']) ) # set time & id as the index); use reset_index to revert this operation
floatsDSAll


Out[53]:
<xarray.Dataset>
Dimensions:  (id: 259, time: 17499)
Coordinates:
  * time     (time) datetime64[ns] 2002-07-04 2002-07-04T06:00:00 ...
  * id       (id) int64 7574 10206 10208 11089 15703 15707 27069 27139 28842 ...
Data variables:
    lat      (time, id) float64 nan 16.3 14.03 16.4 14.04 nan 20.11 nan ...
    lon      (time, id) float64 nan 66.23 69.48 64.58 69.51 nan 68.55 nan ...
    temp     (time, id) float64 nan nan nan 28.0 28.53 nan 28.93 nan 27.81 ...
    ve       (time, id) float64 nan 8.68 5.978 6.286 4.844 nan 32.9 nan ...
    vn       (time, id) float64 nan -13.18 -18.05 -7.791 -17.47 nan 15.81 ...
    spd      (time, id) float64 nan 15.78 19.02 10.01 18.13 nan 36.51 nan ...
    var_lat  (time, id) float64 nan 0.0002661 5.01e-05 5.018e-05 5.024e-05 ...
    var_lon  (time, id) float64 nan 0.0006854 8.851e-05 9.018e-05 8.968e-05 ...
    var_tmp  (time, id) float64 nan 1e+03 1e+03 0.003733 0.0667 nan 0.001683 ...

In [54]:
floatsDSAll.dims


Out[54]:
Frozen(SortedKeysDict({'time': 17499, 'id': 259}))

In [55]:
# resample on the xarray.dataset onto two-day frequency
floatsDSAll_9D =floatsDSAll.resample('9D', dim='time')
print(floatsDSAll_9D.dims)   # downsampling on the 'time' dimension 17499/9/4=  around 486
floatsDSAll_9D


Frozen(SortedKeysDict(OrderedDict([('id', 259), ('time', 568)])))
Out[55]:
<xarray.Dataset>
Dimensions:  (id: 259, time: 568)
Coordinates:
  * id       (id) int64 7574 10206 10208 11089 15703 15707 27069 27139 28842 ...
  * time     (time) datetime64[ns] 2002-07-04 2002-07-13 2002-07-22 ...
Data variables:
    var_lat  (time, id) float64 nan 0.001326 6.127e-05 6.456e-05 5.404e-05 ...
    vn       (time, id) float64 nan 0.02706 -8.271 -14.36 -7.037 nan -1.798 ...
    temp     (time, id) float64 nan nan nan 27.8 28.57 nan 28.98 nan 27.62 ...
    lon      (time, id) float64 nan 66.53 69.91 65.04 69.92 nan 69.45 nan ...
    lat      (time, id) float64 nan 16.22 13.6 16.07 13.64 nan 20.08 nan ...
    var_tmp  (time, id) float64 nan 1e+03 1e+03 0.00362 0.08884 nan 0.001708 ...
    var_lon  (time, id) float64 nan 0.005002 0.0001159 0.000123 9.882e-05 ...
    ve       (time, id) float64 nan 7.056 12.94 11.14 11.71 nan 24.13 nan ...
    spd      (time, id) float64 nan 8.463 17.92 20.22 16.84 nan 25.5 nan ...

In [56]:
# transfer it back to pandas.dataframe for plotting
floatsDFAll_9D = floatsDSAll_9D.to_dataframe()
floatsDFAll_9D
floatsDFAll_9D = floatsDFAll_9D.reset_index()
floatsDFAll_9D
# visualize the subsamping of floats around arabian region
fig, ax  = plt.subplots(figsize=(12,10))
floatsDFAll_9D.plot(kind='scatter', x='lon', y='lat', c='temp', cmap='RdBu_r', edgecolor='none', ax=ax)


Out[56]:
<matplotlib.axes._subplots.AxesSubplot at 0x183beb550>

In [57]:
# get the value for the chllorophy for each data entry
floatsDFAll_9Dtimeorder = floatsDFAll_9D.sort_values(['time','id'],ascending=True)
floatsDFAll_9Dtimeorder # check whether it is time ordered!!
# should we drop nan to speed up??


Out[57]:
id time var_lat vn temp lon lat var_tmp var_lon ve spd
0 7574 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
568 10206 2002-07-04 0.001326 0.027056 NaN 66.533639 16.219000 1000.000000 0.005002 7.056056 8.462583
1136 10208 2002-07-04 0.000061 -8.270944 NaN 69.914139 13.599500 1000.000000 0.000116 12.942722 17.918639
1704 11089 2002-07-04 0.000065 -14.363611 27.796889 65.036972 16.068778 0.003620 0.000123 11.143806 20.217250
2272 15703 2002-07-04 0.000054 -7.037222 28.572750 69.915889 13.637028 0.088844 0.000099 11.706389 16.841889
2840 15707 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
3408 27069 2002-07-04 0.000056 -1.797889 28.981389 69.445889 20.077750 0.001708 0.000102 24.130583 25.498500
3976 27139 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
4544 28842 2002-07-04 0.000099 -8.122111 27.620472 60.830556 18.624861 0.003344 0.000208 5.026861 18.067944
5112 34159 2002-07-04 0.000059 16.704556 NaN 59.736889 12.894139 1000.000000 0.000112 31.753083 37.039111
5680 34173 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
6248 34210 2002-07-04 0.000063 -17.727861 26.452806 56.763194 6.022361 0.003696 0.000124 -3.750167 26.752611
6816 34211 2002-07-04 0.000055 -14.241500 28.380222 68.565389 8.210750 0.003512 0.000102 23.260944 28.413083
7384 34212 2002-07-04 0.000055 7.009000 28.577889 65.946111 6.679556 0.003549 0.000100 42.864500 48.849444
7952 34223 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
8520 34310 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
9088 34311 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
9656 34312 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
10224 34314 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
10792 34315 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
11360 34374 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
11928 34708 2002-07-04 0.000057 2.088833 27.291500 60.658278 10.225111 0.001784 0.000109 30.589861 30.958611
12496 34709 2002-07-04 0.000094 47.817000 26.934000 52.974000 5.027000 0.002233 0.000189 -84.267000 96.889000
13064 34710 2002-07-04 0.000051 -8.140111 31.149000 50.333750 13.057111 0.001854 0.000097 0.763722 47.400444
13632 34714 2002-07-04 0.000059 4.682833 27.765694 64.694000 13.741167 0.001799 0.000111 35.870556 37.025528
14200 34716 2002-07-04 0.000057 2.213806 28.780944 66.285250 7.716750 0.001785 0.000106 34.058694 37.381000
14768 34718 2002-07-04 0.000055 -33.327528 29.063444 72.973500 15.458417 0.001695 0.000103 20.389944 39.619167
15336 34719 2002-07-04 0.000057 -20.858056 28.959417 71.378167 17.217028 0.001652 0.000107 13.919778 27.380083
15904 34720 2002-07-04 0.000060 -19.437778 28.664167 69.482472 14.142056 0.001771 0.000111 11.141528 24.609778
16472 34721 2002-07-04 0.000060 -10.328972 27.908083 65.552333 16.928722 0.001733 0.000113 5.753667 13.113972
... ... ... ... ... ... ... ... ... ... ... ...
130639 3098682 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
131207 60073460 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
131775 60074440 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
132343 60077450 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
132911 60150420 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
133479 60454500 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
134047 60656200 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
134615 60657200 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
135183 60658190 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
135751 60659110 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
136319 60659120 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
136887 60659190 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
137455 60659200 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
138023 60940960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
138591 60940970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
139159 60941960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
139727 60941970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
140295 60942960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
140863 60942970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
141431 60943960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
141999 60943970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
142567 60944960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
143135 60944970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
143703 60945970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
144271 60946960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
144839 60947960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
145407 60947970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
145975 60948960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
146543 60950430 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
147111 62321420 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN

147112 rows × 11 columns


In [58]:
'''
<xarray.Dataset>
Dimensions:  (id: 259, time: 568)   # 259*568
'''
floatsDFAll_9Dtimeorder.lon.shape


Out[58]:
(147112,)

In [59]:
# can we try to fit the missing value at thisstep
floatsDFAll_9Dtimeorder.lon.dropna().shape  # the longitude data has lots of values (3466,)


Out[59]:
(3466,)

In [60]:
# interpolation starts from here

In [61]:
floatsDFAll_9Dtimeorder


Out[61]:
id time var_lat vn temp lon lat var_tmp var_lon ve spd
0 7574 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
568 10206 2002-07-04 0.001326 0.027056 NaN 66.533639 16.219000 1000.000000 0.005002 7.056056 8.462583
1136 10208 2002-07-04 0.000061 -8.270944 NaN 69.914139 13.599500 1000.000000 0.000116 12.942722 17.918639
1704 11089 2002-07-04 0.000065 -14.363611 27.796889 65.036972 16.068778 0.003620 0.000123 11.143806 20.217250
2272 15703 2002-07-04 0.000054 -7.037222 28.572750 69.915889 13.637028 0.088844 0.000099 11.706389 16.841889
2840 15707 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
3408 27069 2002-07-04 0.000056 -1.797889 28.981389 69.445889 20.077750 0.001708 0.000102 24.130583 25.498500
3976 27139 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
4544 28842 2002-07-04 0.000099 -8.122111 27.620472 60.830556 18.624861 0.003344 0.000208 5.026861 18.067944
5112 34159 2002-07-04 0.000059 16.704556 NaN 59.736889 12.894139 1000.000000 0.000112 31.753083 37.039111
5680 34173 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
6248 34210 2002-07-04 0.000063 -17.727861 26.452806 56.763194 6.022361 0.003696 0.000124 -3.750167 26.752611
6816 34211 2002-07-04 0.000055 -14.241500 28.380222 68.565389 8.210750 0.003512 0.000102 23.260944 28.413083
7384 34212 2002-07-04 0.000055 7.009000 28.577889 65.946111 6.679556 0.003549 0.000100 42.864500 48.849444
7952 34223 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
8520 34310 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
9088 34311 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
9656 34312 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
10224 34314 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
10792 34315 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
11360 34374 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
11928 34708 2002-07-04 0.000057 2.088833 27.291500 60.658278 10.225111 0.001784 0.000109 30.589861 30.958611
12496 34709 2002-07-04 0.000094 47.817000 26.934000 52.974000 5.027000 0.002233 0.000189 -84.267000 96.889000
13064 34710 2002-07-04 0.000051 -8.140111 31.149000 50.333750 13.057111 0.001854 0.000097 0.763722 47.400444
13632 34714 2002-07-04 0.000059 4.682833 27.765694 64.694000 13.741167 0.001799 0.000111 35.870556 37.025528
14200 34716 2002-07-04 0.000057 2.213806 28.780944 66.285250 7.716750 0.001785 0.000106 34.058694 37.381000
14768 34718 2002-07-04 0.000055 -33.327528 29.063444 72.973500 15.458417 0.001695 0.000103 20.389944 39.619167
15336 34719 2002-07-04 0.000057 -20.858056 28.959417 71.378167 17.217028 0.001652 0.000107 13.919778 27.380083
15904 34720 2002-07-04 0.000060 -19.437778 28.664167 69.482472 14.142056 0.001771 0.000111 11.141528 24.609778
16472 34721 2002-07-04 0.000060 -10.328972 27.908083 65.552333 16.928722 0.001733 0.000113 5.753667 13.113972
... ... ... ... ... ... ... ... ... ... ... ...
130639 3098682 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
131207 60073460 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
131775 60074440 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
132343 60077450 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
132911 60150420 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
133479 60454500 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
134047 60656200 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
134615 60657200 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
135183 60658190 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
135751 60659110 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
136319 60659120 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
136887 60659190 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
137455 60659200 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
138023 60940960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
138591 60940970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
139159 60941960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
139727 60941970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
140295 60942960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
140863 60942970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
141431 60943960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
141999 60943970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
142567 60944960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
143135 60944970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
143703 60945970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
144271 60946960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
144839 60947960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
145407 60947970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
145975 60948960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
146543 60950430 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN
147111 62321420 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN

147112 rows × 11 columns


In [62]:
# has to do task 1 to understand the float data better!!!!!

# task 1: Look into the floatsDFAll_9Dtimeorder data in more details
# check the nan counts in each id
# plot the trajectory of {time, lat, lon, temperature,} for each float id,  
# this steps helps to understand the float dataset and if there is a need, improve it.

# task 2: take the float data as it is, and do the interpolation, whenever there is a nan value use the nearest thing....
# check whether the quality of interpolataion is improved, if not, then have to fall back to to task 1

# task 3: vectorization

In [ ]:


In [63]:
# floatsDFAll_9Dtimeorder.set_index(['id','time']) 
# the inverse operation # floatsDFAll_9Dtimeorder.reset_index()

In [64]:
# DataFrame panel data 
# look into the data
floatsDFAll_9Dtimeorder[100:105]
# so far there is no need to convert it into a panel 
# floatsDFAll_9DtimeorderPanel = floatsDFAll_9Dtimeorder.to_panel


Out[64]:
id time var_lat vn temp lon lat var_tmp var_lon ve spd
56800 62558 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
57368 63036 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
57936 63067 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
58504 63068 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN
59072 63069 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN

In [65]:
# plot the temperature for one float, the temperature do have a trend
maskid = (floatsDFAll_9Dtimeorder.id == 63069) & (floatsDFAll_9Dtimeorder.time> '2007-01-01') & (floatsDFAll_9Dtimeorder.time< '2009-01-01')
floatsDFAll_9Dtimeorder[maskid]
floatsDFAll_9Dtimeorder[maskid].plot(x='time', y ='temp')


Out[65]:
<matplotlib.axes._subplots.AxesSubplot at 0x11e1524a8>

In [66]:
# this is a float that explains the need for temperature data
maskid2 = floatsDFAll_9Dtimeorder.id == 10208
floatsDFAll_9Dtimeorder[maskid2].head()


Out[66]:
id time var_lat vn temp lon lat var_tmp var_lon ve spd
1136 10208 2002-07-04 0.000061 -8.270944 NaN 69.914139 13.599500 1000.0 0.000116 12.942722 17.918639
1137 10208 2002-07-13 0.000060 -5.433167 NaN 70.726278 13.412417 1000.0 0.000113 8.819778 12.927639
1138 10208 2002-07-22 0.000066 -21.372750 NaN 71.035056 12.617778 1000.0 0.000127 -1.535306 25.644722
1139 10208 2002-07-31 0.000069 -31.578528 NaN 70.913944 10.364833 1000.0 0.000135 1.551611 32.618917
1140 10208 2002-08-09 0.000065 -7.338472 NaN 71.453528 9.144639 1000.0 0.000125 12.855500 15.766083

In [67]:
list(floatsDFAll_9Dtimeorder.time)[:5]


Out[67]:
[Timestamp('2002-07-04 00:00:00'),
 Timestamp('2002-07-04 00:00:00'),
 Timestamp('2002-07-04 00:00:00'),
 Timestamp('2002-07-04 00:00:00'),
 Timestamp('2002-07-04 00:00:00')]

In [68]:
floatsDFAll_9Dtimeorder.time[:5]


Out[68]:
0      2002-07-04
568    2002-07-04
1136   2002-07-04
1704   2002-07-04
2272   2002-07-04
Name: time, dtype: datetime64[ns]

In [69]:
ds_9day


Out[69]:
<xarray.Dataset>
Dimensions:        (eightbitcolor: 256, lat: 276, lon: 360, rgb: 3, time: 589)
Coordinates:
  * lat            (lat) float64 27.96 27.87 27.79 27.71 27.62 27.54 27.46 ...
  * lon            (lon) float64 45.04 45.13 45.21 45.29 45.38 45.46 45.54 ...
  * rgb            (rgb) int64 0 1 2
  * eightbitcolor  (eightbitcolor) int64 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 ...
  * time           (time) datetime64[ns] 2002-07-04 2002-07-13 2002-07-22 ...
Data variables:
    chlor_a        (time, lat, lon) float64 nan nan nan nan nan nan nan nan ...
    palette        (time, rgb, eightbitcolor) float64 -109.0 0.0 108.0 ...

In [434]:
a = [0,1,2,3,4,5,5,5,5]
a[5] = 4
for i in range(0,len(a)):
    if a[i] == 5:
        a[i]=4


---------------------------------------------------------------------------
TypeError                                 Traceback (most recent call last)
<ipython-input-434-4068f1624312> in <module>()
      4     if a[i] == 5:
      5         a[i]=4
----> 6 a[1,2,3,4]

TypeError: list indices must be integers or slices, not tuple

In [70]:
idx_time = ds_9day.indexes['time']
idx_lat = ds_9day.indexes['lat']
idx_lon = ds_9day.indexes['lon']


### 'time is from small to big number'
print(ds_9day.indexes['time'])
print(type(ds_9day.indexes['time']))

### 'lat is from *big* to small number'
print(ds_9day.indexes['lat'])
print(type(ds_9day.indexes['lat']))

### 'lon is from small to big number'
print(ds_9day.indexes['lon'])
print(type(ds_9day.indexes['lon']))

# validation: to locate the chl-a for this point {time:2002-07-13, lat:27.7916660309, lon:45.2916679382}


DatetimeIndex(['2002-07-04', '2002-07-13', '2002-07-22', '2002-07-31',
               '2002-08-09', '2002-08-18', '2002-08-27', '2002-09-05',
               '2002-09-14', '2002-09-23',
               ...
               '2016-10-09', '2016-10-18', '2016-10-27', '2016-11-05',
               '2016-11-14', '2016-11-23', '2016-12-02', '2016-12-11',
               '2016-12-20', '2016-12-29'],
              dtype='datetime64[ns]', name='time', length=589, freq='9D')
<class 'pandas.tseries.index.DatetimeIndex'>
Float64Index([27.9583339691, 27.8749980927, 27.7916660309, 27.7083339691,
              27.6249980927, 27.5416660309, 27.4583339691, 27.3749980927,
              27.2916660309, 27.2083339691,
              ...
              5.79166173935, 5.70833349228, 5.62499761581, 5.54166173935,
              5.45833349228, 5.37499761581, 5.29166173935, 5.20833349228,
              5.12499761581, 5.04166173935],
             dtype='float64', name='lat', length=276)
<class 'pandas.indexes.numeric.Float64Index'>
Float64Index([45.0416679382, 45.1250114441, 45.2083396912, 45.2916679382,
              45.3750114441, 45.4583396912, 45.5416679382, 45.6250114441,
              45.7083396912, 45.7916679382,
              ...
              74.2083358765, 74.2916641235, 74.3750076294, 74.4583358765,
              74.5416641235, 74.6250076294, 74.7083358765, 74.7916641235,
              74.8750076294, 74.9583358765],
             dtype='float64', name='lon', length=360)
<class 'pandas.indexes.numeric.Float64Index'>

In [ ]:
# do the interpolation for one point above

In [ ]:
#for row in floatsDFAll_9Dtimeorder.itertuples():
    #print('row.time = %s, row.id=%d, row.lon=%4.3f, row.lat=%4.3f' % (row.time,row.id,row.lon,row.lat)  )
    # now just focus on this entry:
    # row.time = 2002-07-04 00:00:00, row.id=10206, row.lon=66.534, row.lat=16.219, do interpolation

In [73]:
# simulate the api for one entry in the float data
# generate test points
# test case 1: a single entry (southeast corner for valid values)
row_case1 =  pd.DataFrame(data = {'time':'2002-07-13 00:00:00', 'id': 10206, 'lon':74.7083358765, 'lat':5.20833349228},index=[1])
# test case 2: a list of entries, API for DS
row_case2 =  pd.DataFrame(data = {'time':['2002-07-13 00:00:00','2002-07-22 00:00:00'] , 'id': [10206, 10206], 'lon':[74.7083358765, 74.6250076294], 'lat':[5.20833349228, 5.29166173935]},index=[2,3])

print(row_case1.time)
print('-----')
print('row_case1', row_case1)
print('row_case2', row_case2)
print('-----')
print(type(row_case1.time))
print('-----')
print(pd.DatetimeIndex(row_case1.time))
#idx_time.get_loc


1    2002-07-13 00:00:00
Name: time, dtype: object
-----
row_case1       id       lat        lon                 time
1  10206  5.208333  74.708336  2002-07-13 00:00:00
row_case2       id       lat        lon                 time
2  10206  5.208333  74.708336  2002-07-13 00:00:00
3  10206  5.291662  74.625008  2002-07-22 00:00:00
-----
<class 'pandas.core.series.Series'>
-----
DatetimeIndex(['2002-07-13'], dtype='datetime64[ns]', name='time', freq=None)

In [74]:
### np.datetime64 support arithmics on date
### an example
dt64 = np.datetime64('2012-05-01') 
dt64
dt65 = np.datetime64('2013-02-02') 
dt65
difference = dt65 - dt64 
#difference.day
print(type(difference))
print(difference)

# in different units
print('difference in days:',  difference / np.timedelta64(1, 'D') )
print('difference in hours:',  difference / np.timedelta64(1, 'h') )
print('difference in mintes:',  difference / np.timedelta64(1, 'm') )
print('difference in second:',  difference / np.timedelta64(1, 's') )
print('difference in millisecond:',  difference / np.timedelta64(1, 'ms') )


<class 'numpy.timedelta64'>
277 days
difference in days: 277.0
difference in hours: 6648.0
difference in mintes: 398880.0
difference in second: 23932800.0
difference in millisecond: 23932800000.0

In [75]:
# delete the comment: 
# find the nearest idices(values) alaong each direction,
# find the next indices(values) along each direction,
# find the delta along each direction,
# carry out the multipliear interpolations

In [76]:
################
# test case 1: take a single entry (southeast corner for valid values)
row_case1 =  pd.DataFrame(data = {'time':'2002-07-13 00:00:00', 'id': 10206, 'lon':74.7083358765, 'lat':5.20833349228},index=[1])
print(row_case1)


      id       lat        lon                 time
1  10206  5.208333  74.708336  2002-07-13 00:00:00

In [77]:
### interpolation on the time dimension
xtime_test = np.datetime64(row_case1.time.values[0])  # for delta 
itime_nearest = idx_time.get_loc(xtime_test, method='nearest')
# itime_nearest # 1

xtime_nearest =  ds_9day.time[itime_nearest].values  # 2002-07-13T00:00:00.000000000
print('xtime_nearest', xtime_nearest)
print('xtime_nearest', type(xtime_nearest)) # xtime_nearest <class 'numpy.datetime64'>

# the time distance in days
delta_xtime = (xtime_test - xtime_nearest) / np.timedelta64(1, 'D')
print('delta_xtime in days', delta_xtime)

if delta_xtime >=0: # the nearest index is on the left
    itime_next = itime_nearest + 1 # increase the location of the index (or coordinates)
else:              # the nearest index is on the right
    itime_next = itime_nearest -1

# find the next coordinate values
xtime_next = ds_9day.time[itime_next].values
print('xtime_next', xtime_next)


# prepare for the Tri-linear interpolation
base_time = (xtime_next - xtime_nearest) / np.timedelta64(1, 'D')
print('base_time', base_time)
w_time = delta_xtime / base_time  
print('w_time', w_time) # 0.0


xtime_nearest 2002-07-13T00:00:00.000000000
xtime_nearest <class 'numpy.datetime64'>
delta_xtime in days 0.0
xtime_next 2002-07-22T00:00:00.000000000
base_time 9.0
w_time 0.0

In [78]:
### interpolation on the lat dimension
xlat_test = row_case1.lat.values[0] + 0.06  # base 5.20833349228 # cell distance around .8, use .2 & .6 as two tests
ilat_nearest = idx_lat.get_loc(xlat_test, method='nearest')
print(ilat_nearest) # 272

xlat_nearest = ds_9day.lat[ilat_nearest].values  
print('xlat_nearest', xlat_nearest)

delta_xlat = xlat_test - xlat_nearest
print("delta_xlat",delta_xlat)

if delta_xlat >=0 : # the nearest index is on the right; but order of the latitude is different, it is descending
    ilat_next = ilat_nearest-1 # caution about the order, it is an inverse order
else:
    ilat_next = ilat_nearest+1

# find the next coordinates value
print(ilat_next)   # 273
xlat_next = ds_9day.lat[ilat_next].values
print('xlat_next', xlat_next)

# prepare for the Tri-linear interpolation
w_lat = delta_xlat / (xlat_next - xlat_nearest)
print('w_lat', w_lat) # 0.279956051994


272
xlat_nearest 5.291661739349365
delta_xlat -0.0233282470694
273
xlat_next 5.208333492279053
w_lat 0.279956051994

In [79]:
### interpolation on the lon dimension
xlon_test = row_case1.lon.values[0] +0.06 # base 74.7083358765 # cell distance around .8, use .2 & .6 as two tests
ilon_nearest =  idx_lon.get_loc(xlon_test, method = 'nearest')
print(ilon_nearest) # 357

xlon_nearest = ds_9day.lon[ilon_nearest].values  
print('xlon_nearest', xlon_nearest)

delta_xlon = xlon_test - xlon_nearest
print("delta_xlat", delta_xlon)

if delta_xlon >=0: # the nearest index is on the left
    ilon_next = ilon_nearest +1 # increase the location of the index (or coordinates)
else:
    ilon_next = ilon_nearest -1
    
print(ilon_next) # 356
    
# find the next coordinate values
xlon_next = ds_9day.lon[ilon_next].values
print("xlon_next", xlon_next)

# prepare for the Tri-linear interpolation
w_lon = delta_xlon / (xlon_next - xlon_nearest)
print("w_lon", w_lon) # 0.279956051583


357
xlon_nearest 74.79166412353516
delta_xlat -0.0233282470352
356
xlon_next 74.70833587646484
w_lon 0.279956051583

In [80]:
'''
### Pseudocode for Trilinear interpolation
# 1D
w = delta_x / (x_next -x_nearest)
f = (1-w)*da.isel(x=ix_nearest).values + w* da.isel(x=ix_next).values

# 2D
wx = delta_x / (x_next - x_nearest)
wy = delta_y / (y_next - y_nearest)
f = (1-wx)*(1-wy)*da.isel(x=ix_nearest, y=iy_nearest).values + 
        (1-wx)*wy*da.isel(x=ix_nearest,y=iy_next).values     +
        wx*(1-wy)*da.isel(x=ix_next,y=iy_nearest).values     +
            wx*wy*da.isel(x=ix_next,y=iy_next).values
            
# 3D
wx = delta_x / (x_next - x_nearest)
wy = delta_y / (y_next - y_nearest)
wz = delta_z / (z_next - z_nearest)
f = (1-wx)*(1-wy)*(1-wz)*da.isel(x=ix_nearest, y=iy_nearest, z=iz_nearest).values  + 
        (1-wx)*(1-wy)*wz*da.isel(x=ix_nearest, y=iy_nearest, z=iz_next).values     +
        (1-wx)*wy*(1-wz)*da.isel(x=ix_nearest, y=iy_next, z=iz_nearest).values     +
            (1-wx)*wy*wz*da.isel(x=ix_nearest, y=iy_next, z=iz_next).values        +
        wx*(1-wy)*(1-wz)*da.isel(x=ix_next, y=iy_nearest, z=iz_nearest).values     +
            wx*(1-wy)*wz*da.isel(x=ix_next, y=iy_nearest, z=iz_next).values        +
            wx*wy*(1-wz)*da.isel(x=ix_next, y=iy_next, z=iz_nearest).values        +
                wx*wy*wz*da.isel(x=ix_next, y=iy_next, z=iz_next).values     
'''

'''
### interpolate the Trilinear Value
dimensions 3 : time, lat, lon
locations: xtime_test, xlat_test, xlon_test
weights(from the nearest coordinates): w_time, w_lat, w_lon
output: a singel value based on 1D interpolation on each dimension, so use 8-neighbours
'''

# validate this 
# try two pints as a list to check the interface
#ds_9day.chlor_a.sel_points(time=list(floatsDFAll_9Dtimeorder.time),lon=list(floatsDFAll_9Dtimeorder.lon), lat=list(floatsDFAll_9Dtimeorder.lat), method='nearest')


# preprocessing for nan values for each dimension
# dim:time
#print(ds_9day.chlor_a.isel_points(time=list([itime_nearest]), lat=list([ilat_nearest]), lon=list([ilon_nearest])).values)


# caution: nan values, store as "list_of_array to 2d_array" first, then sum
tmp = np.array([
         ds_9day.chlor_a.isel_points(time=list([itime_nearest]), lat=list([ilat_nearest]), lon=list([ilon_nearest])).values,
         ds_9day.chlor_a.isel_points(time=list([itime_nearest]), lat=list([ilat_nearest]), lon=list([ilon_next])).values,
         ds_9day.chlor_a.isel_points(time=list([itime_nearest]), lat=list([ilat_next]), lon=list([ilon_nearest])).values,
         ds_9day.chlor_a.isel_points(time=list([itime_nearest]), lat=list([ilat_next]), lon=list([ilon_next])).values,
         ds_9day.chlor_a.isel_points(time=list([itime_next]), lat=list([ilat_nearest]), lon=list([ilon_nearest])).values,
         ds_9day.chlor_a.isel_points(time=list([itime_next]), lat=list([ilat_nearest]), lon=list([ilon_next])).values,
         ds_9day.chlor_a.isel_points(time=list([itime_next]), lat=list([ilat_next]), lon=list([ilon_nearest])).values,
         ds_9day.chlor_a.isel_points(time=list([itime_next]), lat=list([ilat_next]), lon=list([ilon_next])).values ])


weights =  np.array([(1-w_time)*(1-w_lat)*(1-w_lon), 
                     (1-w_time)*(1-w_lat)*w_lon,
                     (1-w_time)*w_lat*(1-w_lon), 
                     (1-w_time)*w_lat*w_lon,
                        w_time*(1-w_lat)*(1-w_lon),
                        w_time*(1-w_lat)*w_lon,
                        w_time*w_lat*(1-w_lon),
                        w_time*w_lat*w_lon ])


# how to deal with "nan" values, fill in missing values for the np.array tmpAll 
# or fill the mean values to the unweighted array
# http://stackoverflow.com/questions/18689235/numpy-array-replace-nan-values-with-average-of-columns

print('\n neighbouring tensor used', tmp)

# column min: (nan+0.245878 + nan + nan + 0.19680101 + nan +  nan + 0.18532801)/8 = 0.20933567333
col_mean = np.nanmean(tmp, axis=0)
print('its mean along axis 0(column) \n', col_mean)  

# filling the missing values.
inds = np.where(np.isnan(tmp))
print('\n nan index\n', inds)
tmp[inds]=np.take(col_mean, inds[1])
print('\n values after the fill \n', tmp)

print('\n weighting tensor used \n', weights)

print('\n tensor product\n', np.dot(weights, tmp)) # [ 0.2167019]

# validate by 1D array
# val = np.array([0.20933567, 0.245878,  0.20933567,
#                0.20933567, 0.19680101, 0.20933567,
#               0.20933567,0.18532801]) 
# np.dot(val, weights) # 0.21670189702309739


 neighbouring tensor used [[        nan]
 [ 0.245878  ]
 [        nan]
 [        nan]
 [ 0.19680101]
 [        nan]
 [        nan]
 [ 0.18532801]]
its mean along axis 0(column) 
 [ 0.20933567]

 nan index
 (array([0, 2, 3, 5, 6]), array([0, 0, 0, 0, 0]))

 values after the fill 
 [[ 0.20933567]
 [ 0.245878  ]
 [ 0.20933567]
 [ 0.20933567]
 [ 0.19680101]
 [ 0.20933567]
 [ 0.20933567]
 [ 0.18532801]]

 weighting tensor used 
 [ 0.51846329  0.20158066  0.20158066  0.07837539  0.          0.          0.
  0.        ]

 tensor product
 [ 0.2167019]

In [81]:
ilon_nearest


Out[81]:
357

In [263]:
################
# test case 2
# take a {time-list, id-list, lon-list, lat-list}, index-list 
# carry out the interpolation
#row_case2 =  pd.DataFrame(data = {'time':['2002-07-13 00:00:00','2002-07-22 00:00:00'] , 'id': [10206, 10206], 'lon':[74.7083358765, 74.6250076294], 'lat':[5.20833349228, 5.29166173935]},index=[2,3])
#print(row_case2)
################
# test case 3
row_case2 =  pd.DataFrame(data = {'time':['2002-07-13 00:00:00', '2002-07-22 00:00:00', '2002-07-13 00:00:00'] , 'id': [10206, 10206, 10206], 'lon':[74.7083358765, 74.6250076294,74.7083358765], 'lat':[5.20833349228, 5.29166173935, 5.20833349228]},index=[1,2,3])
print(row_case2)


#### 
#interpolation on the time dimension
time_len = len(row_case2.time.values)
xtime_test = list([ np.datetime64(row_case2.time.values[i]) for i in range(0,time_len)  ] )  # for delta 
print('\n xtime_test \n', xtime_test)

'''caution: cannot do this inside the function get_loc,
see https://github.com/pandas-dev/pandas/issues/3488
'''
itime_nearest = [idx_time.get_loc(xtime_test[i], method='nearest') for i in range(0, time_len)]
print('\n itime_nearest \n', itime_nearest)  # [1,2]

xtime_nearest =  ds_9day.time[itime_nearest].values  #  ['2002-07-13T00:00:00.000000000' '2002-07-22T00:00:00.000000000']
print('\n xtime_nearest\n', xtime_nearest)  # ['2002-07-13T00:00:00.000000000' '2002-07-22T00:00:00.000000000']
print('xtime_nearest', type(xtime_nearest)) # xtime_nearest <class 'numpy.ndarray'> # time_nearest <class 'numpy.datetime64'>

# the time distance in days
delta_xtime = (xtime_test - xtime_nearest) / np.timedelta64(1, 'D')
print('\n delta_xtime in days \n', delta_xtime)
print(type(delta_xtime))

itime_next = [itime_nearest[i]+1 if  delta_xtime[i] >=0  else itime_nearest[i]-1  for i in range(0, time_len) ]
print('\n itime_next \n',itime_next)  # [2, 3]

# find the next coordinate values
xtime_next = ds_9day.time[itime_next].values
print('\n xtime_next \n', xtime_next) # ['2002-07-22T00:00:00.000000000' '2002-07-31T00:00:00.000000000']

# prepare for the Tri-linear interpolation
base_time = (xtime_next - xtime_nearest) / np.timedelta64(1, 'D')  # [ 9.  9.]
print('\n base_time \n', base_time)
w_time = delta_xtime / base_time  
print('\n w_time \n', w_time) # [ 0.  0.]


#### 
#interpolation on the lat dimension
xlat_test = row_case2.lat.values + 0.06   # base [ 5.20833349  5.29166174] # cell distance around .8, use .2 & .6 as two tests
print('\n xlat_test \n', xlat_test)       # xlat_test [ 5.26833349  5.35166174]

ilat_nearest = [idx_lat.get_loc(xlat_test[i], method='nearest') for i in range(0, time_len)]
print('\n ilat_nearest \n', ilat_nearest) # [272, 271]

xlat_nearest = ds_9day.lat[ilat_nearest].values  
print('\n xlat_nearest \n', xlat_nearest) # [ 5.29166174  5.37499762]

delta_xlat = xlat_test - xlat_nearest
print("\n delta_xlat \n",delta_xlat)      #  [-0.02332825 -0.02333588]


# the nearest index is on the right; but order of the latitude is different, it is descending
ilat_next = [ilat_nearest[i]-1 if  delta_xlat[i] >=0  else ilat_nearest[i]+1  for i in range(0, time_len) ]
print('\n ilat_next \n', ilat_next)  # [273, 272]

# find the next coordinates value
xlat_next = ds_9day.lat[ilat_next].values
print('\n xlat_next \n', xlat_next)  # [ 5.20833349  5.29166174]

# prepare for the Tri-linear interpolation
w_lat = delta_xlat / (xlat_next - xlat_nearest)
print('\n w_lat \n', w_lat) # [ 0.27995605  0.28002197]

#### 
#interpolation on the lon dimension
xlon_test = row_case2.lon.values +0.06 # base [74.7083358765, 74.6250076294] # cell distance around .8, use .2 & .6 as two tests
print('\n xlon_test \n', xlon_test)  # [ 74.76833588  74.68500763]

ilon_nearest = [idx_lon.get_loc(xlon_test[i], method='nearest') for i in range(0, time_len)]
print('\n ilon_nearest \n', ilon_nearest) # [357, 356]

xlon_nearest = ds_9day.lon[ilon_nearest].values  
print('\n xlon_nearest \n', xlon_nearest) # [ 74.79166412  74.70833588]

delta_xlon = xlon_test - xlon_nearest     
print("\n delta_xlon \n", delta_xlon)     #  [-0.02332825 -0.02332825]

ilon_next = [ilon_nearest[i]+1 if  delta_xlon[i] >=0  else ilon_nearest[i]-1  for i in range(0, time_len) ]
print('\n ilon_next \n',ilon_next)  # [356, 355]

# find the next coordinate values
xlon_next = ds_9day.lon[ilon_next].values
print("\n xlon_next \n", xlon_next) # [ 74.70833588  74.62500763]

# prepare for the Tri-linear interpolation
w_lon = delta_xlon / (xlon_next - xlon_nearest)
print("\n w_lon \n", w_lon) # [ 0.27995605  0.27995605]

####
# local Tensor product for Trilinear interpolation
# caution: nan values, store as "list_of_array to 2d_array" first, then sum

# no casting to list needed here, inputs are already lists
tmp = np.array([
         ds_9day.chlor_a.isel_points(time=itime_nearest, lat=ilat_nearest, lon=ilon_nearest).values,
         ds_9day.chlor_a.isel_points(time=itime_nearest, lat=ilat_nearest, lon=ilon_next).values,
         ds_9day.chlor_a.isel_points(time=itime_nearest, lat=ilat_next, lon=ilon_nearest).values,
         ds_9day.chlor_a.isel_points(time=itime_nearest, lat=ilat_next, lon=ilon_next).values,
         ds_9day.chlor_a.isel_points(time=itime_next, lat=ilat_nearest, lon=ilon_nearest).values,
         ds_9day.chlor_a.isel_points(time=itime_next, lat=ilat_nearest, lon=ilon_next).values,
         ds_9day.chlor_a.isel_points(time=itime_next, lat=ilat_next, lon=ilon_nearest).values,
         ds_9day.chlor_a.isel_points(time=itime_next, lat=ilat_next, lon=ilon_next).values ])

weights =  np.array([(1-w_time)*(1-w_lat)*(1-w_lon), 
                     (1-w_time)*(1-w_lat)*w_lon,
                     (1-w_time)*w_lat*(1-w_lon), 
                     (1-w_time)*w_lat*w_lon,
                        w_time*(1-w_lat)*(1-w_lon),
                        w_time*(1-w_lat)*w_lon,
                        w_time*w_lat*(1-w_lon),
                        w_time*w_lat*w_lon ])


# how to deal with "nan" values, fill in missing values for the np.array tmpAll 
# or fill the mean values to the unweighted array
# http://stackoverflow.com/questions/18689235/numpy-array-replace-nan-values-with-average-of-columns

print('\n neighbouring tensor used \n', tmp)
'''
 neighbouring tensor used 
 [[        nan  0.181841  ]
 [ 0.245878           nan]
 [        nan         nan]
 [        nan         nan]
 [ 0.19680101         nan]
 [        nan         nan]
 [        nan         nan]
 [ 0.18532801         nan]]
'''

# column min: (nan+0.245878 + nan + nan + 0.19680101 + nan +  nan + 0.18532801)/8 = 0.20933567333
col_mean = np.nanmean(tmp, axis=0)
print('\n its mean along axis 0(column) \n', col_mean)  #  [ 0.20933567  0.181841  ]


# filling the missing values.
inds = np.where(np.isnan(tmp))
print('\n nan index\n', inds)
tmp[inds]=np.take(col_mean, inds[1])
print('\n values after the fill \n', tmp)

print('\n weighting tensor used \n', weights)

print("weights.shape", weights.shape) # (8, 3)
print("tmp.shape", tmp.shape)  # (8, 3)

nrow_w, ncol_w = weights.shape
nrow_t, ncol_t = tmp.shape
assert nrow_w == nrow_t, "the row count of weights and values are not the same!"
assert ncol_w == ncol_t, "the row count of weights and values are not the same!"
print('\n tensor product\n', np.dot(weights[:,0], tmp[:,0]) ) # 0.216701896135 should be [ 0.2167019]

# new interpolation process of the Chl_a
chl_new = np.empty(ncol_w)
for i in range(0, ncol_w, 1):
    chl_new[i] =  np.dot(weights[:,i], tmp[:,i])

print('chl_newInt',  chl_new) #  [ 0.2167019  0.181841   0.2167019]
# validate by 1D array
# val = np.array([0.20933567, 0.245878,  0.20933567,
#                0.20933567, 0.19680101, 0.20933567,
#               0.20933567,0.18532801]) 
# np.dot(val, weights) # 0.21670189702309739


## output xarray.dataarray of points, see examples below
# this is the way how xarray.Dataset works
# if you want a xarray.DataArray, first generate a xarray.Dataset, then select DataArray from there.
chl_newInt = xr.Dataset({'chl': (['id'], np.random.randn(3))},
                        coords={
                                'time':(['points'],['2002-07-13 00:00:00', '2002-07-22 00:00:00', '2002-07-13 00:00:00']) , \
                                'id': (['points'], [10206, 10206, 10206]), 
                                'lon': (['points'], [74.7083358765, 74.6250076294,74.7083358765]),
                                'lat':(['points'], [5.20833349228, 5.29166173935, 5.20833349228]), 
                                'points': (['points'], [0,1,2])}) # this way the dims is set to point

print('\n',chl_newInt.chl)
'''
### Task: output xarray.dataarray as points
## example 1
arr = xr.DataArray(np.random.rand(4,3), [('time', pd.date_range('2000-01-01', periods=4)), ('space', ['IA', 'IL', 'IN'])] )
print("first example",arr)
print("\n \n")

## example2 -- concrete xr.DataArray
data = np.random.rand(4, 3)
locs = ['IA', 'IL', 'IN']
times = pd.date_range('2000-01-01', periods=4)
brr = xr.DataArray(data, coords={'time': times, 'space': locs, 'const': 42, \
                          'ranking': ('space', [1, 2, 3])}, \
             dims=['time', 'space'])
print("second example",brr)
'''

'''
### the target output
#the output generated by the xarray.DataSet => xarray.DataArray
<xarray.DataArray 'chlor_a' (points: 147112)>
array([ nan,  nan,  nan, ...,  nan,  nan,  nan])
Coordinates:
    time     (points) datetime64[ns] 2002-07-04 2002-07-04 2002-07-04 ...
    lon      (points) float64 74.96 66.54 69.88 65.04 69.88 74.96 69.46 ...
    lat      (points) float64 27.96 16.21 13.62 16.04 13.62 27.96 20.04 ...
  * points   (points) int64 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 ...
  
### the solution approach we tried to is: first,  generate a xarray.DataSet
                                          second, generte a xarray.DataArray from the xarray DataSet if needed.
 
# 1. looking at this example, DataArray seems to be working.

# works here
da_test1 = xr.DataArray(np.random.rand(3), dims=['x'],
                        coords={'x': np.array([10206, 10206, 10206]), 'y':  2} )
print('\n da_test1', da_test1)

##########
# but not works here
da_test1 = xr.DataArray(np.random.rand(3), dims=['x'],
                        coords={'x': np.array([10206, 10206, 10206]), 'y':  np.array([10206, 10206, 10206])} )
print('\n da_test1', da_test1)

# err's
##########

##########
# works here
da_test1 = xr.DataArray(np.random.rand(3), dims=['x'],
                        coords={'x': np.array([10206, 10206, 10206]), 'y':  2} )
print('\n da_test1', da_test1)

# da_test1 <xarray.DataArray (x: 3)>
# array([ 0.90386212,  0.21516239,  0.44707272])
# Coordinates:
#   * x        (x) int64 10206 10206 10206
#     y        int64 2
##########

##########
# so we do this
# this is the way how xarray.Dataset works
# if you want a xarray.DataArray, first generate a xarray.Dataset, then select DataArray from there.
chl_newInt = xr.Dataset({'chl': (['id'], np.random.randn(3))},
                        coords={ 
                           'id':  (['id'], np.array([10206, 10206, 10206])), 
                           'lon': (['id'], np.array([74.7083358765, 74.6250076294,74.7083358765])), 
                           'lat': (['id'], np.array([5.20833349228, 5.29166173935, 5.20833349228]))})
print('chl_newInt', chl_newInt) # generate the xarray.DataSet
print('\n \n')
print('chl_newInt.chl', chl_newInt.chl) # xarray.DataSet contains many xarray.DataArray


#chl_newInt <xarray.Dataset>
#Dimensions:  (id: 3)
#Coordinates:
#    lon      (id) float64 74.71 74.63 74.71
#  * id       (id) int64 10206 10206 10206
#    lat      (id) float64 5.208 5.292 5.208
#Data variables:
#    chl      (id) float64 0.783 -0.9714 -0.3206



#chl_newInt.chl <xarray.DataArray 'chl' (id: 3)>
#array([ 0.78301614, -0.97144208, -0.3206447 ])
#Coordinates:
#    lon      (id) float64 74.71 74.63 74.71
#  * id       (id) int64 10206 10206 10206
#    lat      (id) float64 5.208 5.292 5.208

'''
print()


      id       lat        lon                 time
1  10206  5.208333  74.708336  2002-07-13 00:00:00
2  10206  5.291662  74.625008  2002-07-22 00:00:00
3  10206  5.208333  74.708336  2002-07-13 00:00:00

 xtime_test 
 [numpy.datetime64('2002-07-13T00:00:00'), numpy.datetime64('2002-07-22T00:00:00'), numpy.datetime64('2002-07-13T00:00:00')]

 itime_nearest 
 [1, 2, 1]

 xtime_nearest
 ['2002-07-13T00:00:00.000000000' '2002-07-22T00:00:00.000000000'
 '2002-07-13T00:00:00.000000000']
xtime_nearest <class 'numpy.ndarray'>

 delta_xtime in days 
 [ 0.  0.  0.]
<class 'numpy.ndarray'>

 itime_next 
 [2, 3, 2]

 xtime_next 
 ['2002-07-22T00:00:00.000000000' '2002-07-31T00:00:00.000000000'
 '2002-07-22T00:00:00.000000000']

 base_time 
 [ 9.  9.  9.]

 w_time 
 [ 0.  0.  0.]

 xlat_test 
 [ 5.26833349  5.35166174  5.26833349]

 ilat_nearest 
 [272, 271, 272]

 xlat_nearest 
 [ 5.29166174  5.37499762  5.29166174]

 delta_xlat 
 [-0.02332825 -0.02333588 -0.02332825]

 ilat_next 
 [273, 272, 273]

 xlat_next 
 [ 5.20833349  5.29166174  5.20833349]

 w_lat 
 [ 0.27995605  0.28002197  0.27995605]

 xlon_test 
 [ 74.76833588  74.68500763  74.76833588]

 ilon_nearest 
 [357, 356, 357]

 xlon_nearest 
 [ 74.79166412  74.70833588  74.79166412]

 delta_xlon 
 [-0.02332825 -0.02332825 -0.02332825]

 ilon_next 
 [356, 355, 356]

 xlon_next 
 [ 74.70833588  74.62500763  74.70833588]

 w_lon 
 [ 0.27995605  0.27995605  0.27995605]

 neighbouring tensor used 
 [[        nan  0.181841           nan]
 [ 0.245878           nan  0.245878  ]
 [        nan         nan         nan]
 [        nan         nan         nan]
 [ 0.19680101         nan  0.19680101]
 [        nan         nan         nan]
 [        nan         nan         nan]
 [ 0.18532801         nan  0.18532801]]

 its mean along axis 0(column) 
 [ 0.20933567  0.181841    0.20933567]

 nan index
 (array([0, 0, 1, 2, 2, 2, 3, 3, 3, 4, 5, 5, 5, 6, 6, 6, 7]), array([0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1]))

 values after the fill 
 [[ 0.20933567  0.181841    0.20933567]
 [ 0.245878    0.181841    0.245878  ]
 [ 0.20933567  0.181841    0.20933567]
 [ 0.20933567  0.181841    0.20933567]
 [ 0.19680101  0.181841    0.19680101]
 [ 0.20933567  0.181841    0.20933567]
 [ 0.20933567  0.181841    0.20933567]
 [ 0.18532801  0.181841    0.18532801]]

 weighting tensor used 
 [[ 0.51846329  0.51841582  0.51846329]
 [ 0.20158066  0.20156221  0.20158066]
 [ 0.20158066  0.20162813  0.20158066]
 [ 0.07837539  0.07839385  0.07837539]
 [ 0.          0.          0.        ]
 [ 0.          0.          0.        ]
 [ 0.          0.          0.        ]
 [ 0.          0.          0.        ]]
weights.shape (8, 3)
tmp.shape (8, 3)

 tensor product
 0.216701896135
chl_newInt [ 0.2167019  0.181841   0.2167019]
<xarray.DataArray 'chl' (id: 3)>
array([-0.05494149,  1.75896415, -0.70221769])


In [256]:
#########
# an concrete example of how to generate xarray dataset and dataarray
# this is the way how xarray.Dataset works
# if you want a xarray.DataArray, first generate a xarray.Dataset, then select DataArray from there.
chl_newInt = xr.Dataset({'chl': (['id'], np.random.randn(3))},
                        coords={ 
                           'id':  (['id'], np.array([10206, 10206, 10206])), 
                           'lon': (['id'], np.array([74.7083358765, 74.6250076294,74.7083358765])), 
                           'lat': (['id'], np.array([5.20833349228, 5.29166173935, 5.20833349228]))})
print('chl_newInt', chl_newInt)
print('\n \n')
print('chl_newInt.chl', chl_newInt.chl


chl_newInt <xarray.Dataset>
Dimensions:  (id: 3)
Coordinates:
    lon      (id) float64 74.71 74.63 74.71
  * id       (id) int64 10206 10206 10206
    lat      (id) float64 5.208 5.292 5.208
Data variables:
    chl      (id) float64 0.783 -0.9714 -0.3206

 

chl_newInt.chl <xarray.DataArray 'chl' (id: 3)>
array([ 0.78301614, -0.97144208, -0.3206447 ])
Coordinates:
    lon      (id) float64 74.71 74.63 74.71
  * id       (id) int64 10206 10206 10206
    lat      (id) float64 5.208 5.292 5.208

In [258]:
### a few small examples.
da_test1 = xr.DataArray(np.random.rand(3), dims=['x'],
                        coords={'x': np.array([10206, 10206, 10206]), 'y':  2} )
print('\n da_test1', da_test1)

# ----
da_test2 = xr.DataArray(np.random.rand(3,1), dims=['x','y'],
                        coords={'x': np.arange(3), 'y': np.arange(1)})
print('\n da_test2', da_test2)

# ---
da_test3 = xr.DataArray(np.random.rand(3,4), dims=['y','x'],
                       coords={'y': np.arange(3), 'x': np.arange(4)})
da_test3
print("\n da_test3", da_test3)


 da_test1 <xarray.DataArray (x: 3)>
array([ 0.90386212,  0.21516239,  0.44707272])
Coordinates:
  * x        (x) int64 10206 10206 10206
    y        int64 2

 da_test2 <xarray.DataArray (x: 3, y: 1)>
array([[ 0.22799785],
       [ 0.98791972],
       [ 0.49444939]])
Coordinates:
  * x        (x) int64 0 1 2
  * y        (y) int64 0

 da_test3 <xarray.DataArray (y: 3, x: 4)>
array([[ 0.3810371 ,  0.74344288,  0.18500166,  0.32106083],
       [ 0.53067774,  0.29293885,  0.5059269 ,  0.921197  ],
       [ 0.52148026,  0.37649667,  0.80721335,  0.32436297]])
Coordinates:
  * x        (x) int64 0 1 2 3
  * y        (y) int64 0 1 2

In [419]:
### for debugging purpose 
# output the dataset ds_9day and output the dataframe  
ds_9day.to_netcdf("ds_9day.nc")

row_case4 = pd.DataFrame(data={'time':list(floatsDFAll_9Dtimeorder.time), 'lon':list(floatsDFAll_9Dtimeorder.lon), 'lat':list(floatsDFAll_9Dtimeorder.lat), 'id':list(floatsDFAll_9Dtimeorder.id) } )
##print('\n before dropping nan \n', row_case4)
# process to drop nan in any of the columns [id], [lat], [lon], [time]
row_case4 = row_case4.dropna(subset=['id', 'lat', 'lon', 'time'], how = 'any') # these four fields are critical
row_case4.to_csv("row_case4.csv")

In [417]:
#### Interface to be sperated   
# input: ds_9day
#        indexers, {a:a1, b:b1...}
#        dim, denote the main dimension

# output: chl_newInt
#


# Keyword Arguments
# approach 1 depreciate 
# because: each of the indexers component might be ordered differently
#############
# def sel_points_multilinear(dset, dims='points', out = 'str', **indexers)
## test case
# sel_points_multilinear(ds_9day, dims = 'points', out ='chlor_a', time = list(['2002-07-13 00:00:00']), lat = list([5]),  lon = list([70]) )
############
# e.g. time-ascending, lat-descending, need to tell 'time' from 'lat'
# so use different parameters for inputs

## approach 2 
## from dataframe to dataset
## input:
##     dframe: list of time, lan, lon, id
##     dset:   carry out the interpolation use dset data structure and its component 
## output:
##     a list or dataframe with chl_newInt.chl



### Todos:
# within the interface, try different test cases
# within the interface, try to use the test cases from the float data
# within the itnerface, try to seperate the code from the note book, and make the code generic 

# remember to take log_e instead of log_10
#

# clean up this notebook, seperate, clean, and take notes

   
def sel_points_multilinear(dset, dframe, dims='points', col_name = 'str'): # col_name should match the satellite dataset
# sel_points_multilinear(ds_9day, row_case1, dims = 'points', col_name ='chlor_a')

    ## get the indices of time, lat, lon
    idx_time = dset.indexes['time']
    idx_lat = dset.indexes['lat']
    idx_lon = dset.indexes['lon']

    '''
    ################### printings
    ### 'time is from small to big number'
    print(dset.indexes['time'])
    print(type(dset.indexes['time']))

    ### 'lat is from *big* to small number'
    print(dset.indexes['lat'])
    print(type(dset.indexes['lat']))

    ### 'lon is from small to big number'
    print(dset.indexes['lon'])
    print(type(dset.indexes['lon']))

    # validation: to locate the chl-a for this point {time:2002-07-13, lat:27.7916660309, lon:45.2916679382}
    '''
    
    #### 
    #interpolation on the time dimension
    time_len = len(dframe.time.values)
    xtime_test = list([ np.datetime64(dframe.time.values[i]) for i in range(0,time_len)  ] )  # for delta 
    ##print('\n xtime_test \n', xtime_test)

    '''caution: cannot do this inside the function get_loc,
    see https://github.com/pandas-dev/pandas/issues/3488
    '''
    itime_nearest = [idx_time.get_loc(xtime_test[i], method='nearest') for i in range(0, time_len)]
    ##print('\n itime_nearest \n', itime_nearest)  # [1,2]

    xtime_nearest =  dset.time[itime_nearest].values  #  ['2002-07-13T00:00:00.000000000' '2002-07-22T00:00:00.000000000']
    ##print('\n xtime_nearest\n', xtime_nearest)  # ['2002-07-13T00:00:00.000000000' '2002-07-22T00:00:00.000000000']
    ##print('xtime_nearest', type(xtime_nearest)) # xtime_nearest <class 'numpy.ndarray'> # time_nearest <class 'numpy.datetime64'>

    # the time distance in days
    delta_xtime = (xtime_test - xtime_nearest) / np.timedelta64(1, 'D')
    ##print('\n delta_xtime in days \n', delta_xtime)
    ##print(type(delta_xtime))

    itime_next = [itime_nearest[i]+1 if  delta_xtime[i] >=0  else itime_nearest[i]-1  for i in range(0, time_len) ]
    ##print('\n itime_next \n',itime_next)  # [2, 3]

    # find the next coordinate values
    xtime_next = dset.time[itime_next].values
    ##print('\n xtime_next \n', xtime_next) # ['2002-07-22T00:00:00.000000000' '2002-07-31T00:00:00.000000000']

    # prepare for the Tri-linear interpolation
    base_time = (xtime_next - xtime_nearest) / np.timedelta64(1, 'D')  # [ 9.  9.]
    ##print('\n base_time \n', base_time)
    w_time = delta_xtime / base_time  
    ##print('\n w_time \n', w_time) # [ 0.  0.]


    #### 
    #interpolation on the lat dimension
    #xlat_test = dframe.lat.values + 0.06   # base [ 5.20833349  5.29166174] # cell distance around .8, use .2 & .6 as two tests
    xlat_test = dframe.lat.values
    ##print('\n xlat_test \n', xlat_test)       # xlat_test [ 5.26833349  5.35166174]
    
    ilat_nearest = [idx_lat.get_loc(xlat_test[i], method='nearest') for i in range(0, time_len)]
    ##print('\n ilat_nearest \n', ilat_nearest) # [272, 271]

    xlat_nearest = dset.lat[ilat_nearest].values  
    ##print('\n xlat_nearest \n', xlat_nearest) # [ 5.29166174  5.37499762]

    delta_xlat = xlat_test - xlat_nearest
    ##print("\n delta_xlat \n",delta_xlat)      #  [-0.02332825 -0.02333588]


    # the nearest index is on the right; but order of the latitude is different, it is descending
    ilat_next = [ilat_nearest[i]-1 if  delta_xlat[i] >=0  else ilat_nearest[i]+1  for i in range(0, time_len) ]
    ##print('\n ilat_next \n', ilat_next)  # [273, 272]

    # find the next coordinates value
    xlat_next = dset.lat[ilat_next].values
    ##print('\n xlat_next \n', xlat_next)  # [ 5.20833349  5.29166174]

        # prepare for the Tri-linear interpolation
    w_lat = delta_xlat / (xlat_next - xlat_nearest)
    ##print('\n w_lat \n', w_lat) # [ 0.27995605  0.28002197]

    #### 
    #interpolation on the lon dimension
    #xlon_test = dframe.lon.values +0.06 # base [74.7083358765, 74.6250076294] # cell distance around .8, use .2 & .6 as two tests
    xlon_test = dframe.lon.values
    ##print('\n xlon_test \n', xlon_test)  # [ 74.76833588  74.68500763]

    ilon_nearest = [idx_lon.get_loc(xlon_test[i], method='nearest') for i in range(0, time_len)]
    ##print('\n ilon_nearest \n', ilon_nearest) # [357, 356]

    xlon_nearest = dset.lon[ilon_nearest].values  
    ##print('\n xlon_nearest \n', xlon_nearest) # [ 74.79166412  74.70833588]

    delta_xlon = xlon_test - xlon_nearest     
    ##print("\n delta_xlon \n", delta_xlon)     #  [-0.02332825 -0.02332825]

    ilon_next = [ilon_nearest[i]+1 if  delta_xlon[i] >=0  else ilon_nearest[i]-1  for i in range(0, time_len) ]
    ##print('\n ilon_next \n',ilon_next)  # [356, 355]

    # find the next coordinate values
    xlon_next = dset.lon[ilon_next].values
    ##print("\n xlon_next \n", xlon_next) # [ 74.70833588  74.62500763]

    # prepare for the Tri-linear interpolation
    w_lon = delta_xlon / (xlon_next - xlon_nearest)
    ##print("\n w_lon \n", w_lon) # [ 0.27995605  0.27995605]

    ####
    # local Tensor product for Trilinear interpolation
    # caution: nan values, store as "list_of_array to 2d_array" first, then sum

    # no casting to list needed here, inputs are already lists
    tmp = np.array([
             dset[col_name].isel_points(time=itime_nearest, lat=ilat_nearest, lon=ilon_nearest).values,
             dset[col_name].isel_points(time=itime_nearest, lat=ilat_nearest, lon=ilon_next).values,
             dset[col_name].isel_points(time=itime_nearest, lat=ilat_next, lon=ilon_nearest).values,
             dset[col_name].isel_points(time=itime_nearest, lat=ilat_next, lon=ilon_next).values,
             dset[col_name].isel_points(time=itime_next, lat=ilat_nearest, lon=ilon_nearest).values,
             dset[col_name].isel_points(time=itime_next, lat=ilat_nearest, lon=ilon_next).values,
             dset[col_name].isel_points(time=itime_next, lat=ilat_next, lon=ilon_nearest).values,
             dset[col_name].isel_points(time=itime_next, lat=ilat_next, lon=ilon_next).values ])

    weights =  np.array([(1-w_time)*(1-w_lat)*(1-w_lon), 
                         (1-w_time)*(1-w_lat)*w_lon,
                         (1-w_time)*w_lat*(1-w_lon), 
                         (1-w_time)*w_lat*w_lon,
                            w_time*(1-w_lat)*(1-w_lon),
                            w_time*(1-w_lat)*w_lon,
                            w_time*w_lat*(1-w_lon),
                            w_time*w_lat*w_lon ])


    # how to deal with "nan" values, fill in missing values for the np.array tmpAll 
    # or fill the mean values to the unweighted array
    # http://stackoverflow.com/questions/18689235/numpy-array-replace-nan-values-with-average-of-columns

    print('\n neighbouring tensor used \n', tmp)
    '''
     neighbouring tensor used 
     [[        nan  0.181841  ]
     [ 0.245878           nan]
     [        nan         nan]
     [        nan         nan]
     [ 0.19680101         nan]
     [        nan         nan]
     [        nan         nan]
     [ 0.18532801         nan]]
    '''

    # column min: (nan+0.245878 + nan + nan + 0.19680101 + nan +  nan + 0.18532801)/8 = 0.20933567333
    col_mean = np.nanmean(tmp, axis=0)
    print('\n its mean along axis 0(column) \n', col_mean)  #  [ 0.20933567  0.181841  ]


    # filling the missing values.
    inds = np.where(np.isnan(tmp))
    print('\n nan index\n', inds)
    tmp[inds]=np.take(col_mean, inds[1])
    print('\n values after the fill \n', tmp)

    print('\n weighting tensor used \n', weights)

    print("weights.shape", weights.shape) # (8, 3)
    print("tmp.shape", tmp.shape)  # (8, 3)

    nrow_w, ncol_w = weights.shape
    nrow_t, ncol_t = tmp.shape
    assert nrow_w == nrow_t, "the row count of weights and values are not the same!"
    assert ncol_w == ncol_t, "the row count of weights and values are not the same!"
    print('\n tensor product\n', np.dot(weights[:,0], tmp[:,0]) ) # 0.216701896135 should be [ 0.2167019]

    # new interpolation process of the Chl_a
    chl_new = np.empty(ncol_w)
    for i in range(0, ncol_w, 1):
        chl_new[i] =  np.dot(weights[:,i], tmp[:,i])

    print('chl_newInt',  chl_new) #  [ 0.2167019  0.181841   0.2167019]
    # validate by 1D array
    # val = np.array([0.20933567, 0.245878,  0.20933567,
    #                0.20933567, 0.19680101, 0.20933567,
    #               0.20933567,0.18532801]) 
    # np.dot(val, weights) # 0.21670189702309739


    ## output xarray.dataarray of points, see examples below
    # this is the way how xarray.Dataset works
    # if you want a xarray.DataArray, first generate a xarray.Dataset, then select DataArray from there.
    dframe_out = xr.Dataset({col_name: (['id'],chl_new)},
                            coords={
                                    #'time':(['points'],['2002-07-13 00:00:00', '2002-07-22 00:00:00', '2002-07-13 00:00:00']) , 
                                    'time':(['points'], dframe.time) ,
                                    'id': (['points'], dframe.id), 
                                    'lon': (['points'], dframe.lon),
                                    'lat':(['points'], dframe.lat), 
                                    'points': (['points'], range(0,len(dframe))) } ) # this way the dims is set to point

    print('\n',dframe_out[col_name])
   
    ## summation
    print('\n dset \n', dset)
    print('\n dims \n', dims)
    #print('\n time is \n', time)
    #print('\n lat is \n', lat )
    #print('\n lon is \n', lon )
    
    return dframe_out
    
#newtmpAll = sel_points_multilinear(ds_9day, dims = 'points', out ='chlor_a', time = list(['2002-07-13 00:00:00']), lat = list([5]),  lon = list([70]) )
    

################
##test case 1-3
##  xlat_test = dframe.lat.values + 0.06 
##  xlon_test = dframe.lon.values +0.06

# test case 1: take a single entry (southeast corner for valid values) (passed) 
#row_case1 =  pd.DataFrame(data = {'time':'2002-07-13 00:00:00', 'id': 10206, 'lon':74.7083358765, 'lat':5.20833349228},index=[1])
#print(row_case1)
#result_out1 = sel_points_multilinear(ds_9day, row_case1, dims = 'points', col_name ='chlor_a')    # + 0.06 for both 
#print(result_out1)
# recheck the [id], [index], [] & there length in the output



# test case 2: take 3 entries (passed):
#row_case2 =  pd.DataFrame(data = {'time':['2002-07-13 00:00:00', '2002-07-22 00:00:00', '2002-07-13 00:00:00'] , 'id': [10206, 10206, 10206], 'lon':[74.7083358765, 74.6250076294,74.7083358765], 'lat':[5.20833349228, 5.29166173935, 5.20833349228]}, index=[1,2,3])
#print(row_case2)
#result_out2 = sel_points_multilinear(ds_9day, row_case2, dims = 'points', col_name ='chlor_a')
#print(result_out2)
                       

# test case 3: use the partial real data
#row_case3 = pd.DataFrame(data={'time':list(floatsDFAll_9Dtimeorder.time[:15]), 'lon':list(floatsDFAll_9Dtimeorder.lon[:15]), 'lat':list(floatsDFAll_9Dtimeorder.lat[:15]), 'id':list(floatsDFAll_9Dtimeorder.id[:15]) } )
#print('\n before dropping nan \n', row_case3)
## process to drop nan in any of the columns [id], [lat], [lon], [time]
#row_case3 = row_case3.dropna(subset=['id', 'lat', 'lon', 'time'], how = 'any') # these four fields are critical
#print('\n after dropping nan \n', row_case3)
#result_out3 = sel_points_multilinear(ds_9day, row_case3, dims = 'points', col_name ='chlor_a')
#print('\n after the preprocessing \n', result_out3)
#print('\n this two length should be equal %d == %d?' %(len(row_case3.index), len(result_out3.points) ) )


# test case 4: use the full real data
row_case4 = pd.DataFrame(data={'time':list(floatsDFAll_9Dtimeorder.time), 'lon':list(floatsDFAll_9Dtimeorder.lon), 'lat':list(floatsDFAll_9Dtimeorder.lat), 'id':list(floatsDFAll_9Dtimeorder.id) } )
print('\n before dropping nan \n', row_case4)
# process to drop nan in any of the columns [id], [lat], [lon], [time]
row_case4 = row_case4.dropna(subset=['id', 'lat', 'lon', 'time'], how = 'any') # these four fields are critical
print('\n after dropping nan \n', row_case4)
result_out4 = sel_points_multilinear(ds_9day, row_case4, dims = 'points', col_name ='chlor_a')
print('\n after the preprocessing \n', result_out4)
print('\n this two length should be equal %d == %d?' %(len(row_case4.index), len(result_out4.points) ) )




# c. check the interface and may need to take the id and index from the float data, decide where to dropna, 
#    perhaps before the functions calls
#
# d. need to remove or comment out the print outs



# task
# a. to simulate & seperate this interface, call it as a function
# b. a better approach is to simulate the input and output stream to write the test case and functions
# tmpAll = ds_9day.chlor_a.sel_points(time=list(floatsDFAll_9Dtimeorder.time),lon=list(floatsDFAll_9Dtimeorder.lon), lat=list(floatsDFAll_9Dtimeorder.lat), method='nearest')


  File "<ipython-input-417-cc44b3152088>", line 41
    dset = ds_9day
    ^
IndentationError: unexpected indent

In [437]:
row_case4.lat.describe()


Out[437]:
count    3466.000000
mean       11.835987
std         4.562076
min         5.001000
25%         7.796354
50%        11.730181
75%        15.130285
max        26.863000
Name: lat, dtype: float64

In [442]:
ds_9day.lat.to_series().describe()


Out[442]:
count    276.000000
mean      16.499998
std        6.651546
min        5.041662
25%       10.770829
50%       16.499998
75%       22.229166
max       27.958334
Name: lat, dtype: float64

In [445]:
ds_9day.lat


Out[445]:
<xarray.DataArray 'lat' (lat: 276)>
array([ 27.95833397,  27.87499809,  27.79166603,  27.70833397,
        27.62499809,  27.54166603,  27.45833397,  27.37499809,
        27.29166603,  27.20833397,  27.12499809,  27.04166603,
        26.95833397,  26.87499809,  26.79166603,  26.70833397,
        26.62499809,  26.54166603,  26.45833397,  26.37499809,
        26.29166603,  26.20833397,  26.12499809,  26.04166603,
        25.95833397,  25.87499809,  25.79166222,  25.70833397,
        25.62499809,  25.54166222,  25.45833397,  25.37499809,
        25.29166222,  25.20833397,  25.12499809,  25.04166222,
        24.95833397,  24.87499809,  24.79166222,  24.70833397,
        24.62499809,  24.54166222,  24.45833397,  24.37499809,
        24.29166222,  24.20833397,  24.12499809,  24.04166222,
        23.95833397,  23.87499809,  23.79166222,  23.70833397,
        23.62499809,  23.54166222,  23.45833397,  23.37499809,
        23.29166222,  23.20833397,  23.12499809,  23.04166222,
        22.95833397,  22.87499809,  22.79166222,  22.70833397,
        22.62499809,  22.54166222,  22.45833397,  22.37499809,
        22.29166222,  22.20833397,  22.12499809,  22.04166222,
        21.95833397,  21.87499809,  21.79166222,  21.70833397,
        21.62499809,  21.54166222,  21.45833397,  21.37499809,
        21.29166222,  21.20833397,  21.12499809,  21.04166222,
        20.95833397,  20.87499809,  20.79166222,  20.70833397,
        20.62499809,  20.54166222,  20.45833397,  20.37499809,
        20.29166222,  20.20833397,  20.12499809,  20.04166222,
        19.95833397,  19.87499809,  19.79166222,  19.70833397,
        19.62499809,  19.54166222,  19.45833397,  19.37499809,
        19.29166222,  19.20833397,  19.12499809,  19.04166222,
        18.95833397,  18.87499809,  18.79166222,  18.70833397,
        18.62499809,  18.54166222,  18.45833397,  18.37499809,
        18.29166222,  18.20833397,  18.12499809,  18.04166222,
        17.95833397,  17.87499809,  17.79166222,  17.70833397,
        17.62499809,  17.54166222,  17.45833397,  17.37499809,
        17.29166222,  17.20833397,  17.12499809,  17.04166222,
        16.95833397,  16.87499809,  16.79166222,  16.70833397,
        16.62499809,  16.54166222,  16.45833397,  16.37499809,
        16.29166222,  16.20833397,  16.12499809,  16.04166222,
        15.95833302,  15.87499714,  15.79166126,  15.70833302,
        15.62499714,  15.54166126,  15.45833302,  15.37499714,
        15.29166126,  15.20833302,  15.12499714,  15.04166126,
        14.95833302,  14.87499714,  14.79166126,  14.70833302,
        14.62499714,  14.54166126,  14.45833302,  14.37499714,
        14.29166126,  14.20833302,  14.12499714,  14.04166126,
        13.95833302,  13.87499714,  13.79166126,  13.70833302,
        13.62499714,  13.54166126,  13.45833302,  13.37499714,
        13.29166126,  13.20833302,  13.12499714,  13.04166126,
        12.95833302,  12.87499714,  12.79166126,  12.70833302,
        12.62499714,  12.54166126,  12.45833302,  12.37499714,
        12.29166126,  12.20833302,  12.12499714,  12.04166126,
        11.95833302,  11.87499714,  11.79166126,  11.70833302,
        11.62499714,  11.54166126,  11.45833302,  11.37499714,
        11.29166126,  11.20833302,  11.12499714,  11.04166126,
        10.95833302,  10.87499714,  10.79166126,  10.70833302,
        10.62499714,  10.54166126,  10.45833302,  10.37499714,
        10.29166126,  10.20833302,  10.12499714,  10.04166126,
         9.95833302,   9.87499714,   9.79166126,   9.70833302,
         9.62499714,   9.54166126,   9.45833302,   9.37499714,
         9.29166126,   9.20833302,   9.12499714,   9.04166126,
         8.95833302,   8.87499714,   8.79166126,   8.70833302,
         8.62499714,   8.54166126,   8.45833302,   8.37499714,
         8.29166126,   8.20833302,   8.12499714,   8.04166126,
         7.95833349,   7.87499762,   7.79166174,   7.70833349,
         7.62499762,   7.54166174,   7.45833349,   7.37499762,
         7.29166174,   7.20833349,   7.12499762,   7.04166174,
         6.95833349,   6.87499762,   6.79166174,   6.70833349,
         6.62499762,   6.54166174,   6.45833349,   6.37499762,
         6.29166174,   6.20833349,   6.12499762,   6.04166174,
         5.95833349,   5.87499762,   5.79166174,   5.70833349,
         5.62499762,   5.54166174,   5.45833349,   5.37499762,
         5.29166174,   5.20833349,   5.12499762,   5.04166174])
Coordinates:
  * lat      (lat) float64 27.96 27.87 27.79 27.71 27.62 27.54 27.46 27.37 ...
Attributes:
    long_name: Latitude
    units: degree_north
    valid_min: -90.0
    valid_max: 90.0

In [444]:
(27.958334 - 5.041662) / 0.08


Out[444]:
286.45840000000004

In [438]:
row_case4.lon.describe()


Out[438]:
count    3466.000000
mean       63.972772
std         6.663474
min        45.177323
25%        59.226904
50%        65.254475
75%        69.165937
max        74.996000
Name: lon, dtype: float64

In [443]:
ds_9day.lon.to_series().describe()


Out[443]:
count    360.000000
mean      60.000005
std        8.672272
min       45.041668
25%       52.520836
50%       60.000004
75%       67.479168
max       74.958336
Name: lon, dtype: float64

In [461]:
row_case4 # 3466 rows × 4 columns


Out[461]:
id lat lon time
1 10206 16.219000 66.533639 2002-07-04
2 10208 13.599500 69.914139 2002-07-04
3 11089 16.068778 65.036972 2002-07-04
4 15703 13.637028 69.915889 2002-07-04
6 27069 20.077750 69.445889 2002-07-04
8 28842 18.624861 60.830556 2002-07-04
9 34159 12.894139 59.736889 2002-07-04
11 34210 6.022361 56.763194 2002-07-04
12 34211 8.210750 68.565389 2002-07-04
13 34212 6.679556 65.946111 2002-07-04
21 34708 10.225111 60.658278 2002-07-04
22 34709 5.027000 52.974000 2002-07-04
23 34710 13.057111 50.333750 2002-07-04
24 34714 13.741167 64.694000 2002-07-04
25 34716 7.716750 66.285250 2002-07-04
26 34718 15.458417 72.973500 2002-07-04
27 34719 17.217028 71.378167 2002-07-04
28 34720 14.142056 69.482472 2002-07-04
29 34721 16.928722 65.552333 2002-07-04
30 34722 11.437306 70.746722 2002-07-04
31 34723 16.602917 66.431333 2002-07-04
224 2134712 9.076889 63.827222 2002-07-04
260 10206 16.377000 66.940500 2002-07-13
261 10208 13.412417 70.726278 2002-07-13
262 11089 14.950806 65.671444 2002-07-13
263 15703 13.542222 70.630806 2002-07-13
265 27069 19.667861 71.304944 2002-07-13
267 28842 17.796611 61.256583 2002-07-13
268 34159 14.227972 62.072750 2002-07-13
270 34210 5.166000 56.681857 2002-07-13
... ... ... ... ...
145765 127406 6.122556 74.268694 2016-05-09
145781 147127 14.255222 63.940944 2016-05-09
145791 60150420 6.582000 56.257750 2016-05-09
145816 62321420 5.877071 50.923714 2016-05-09
146002 114873 6.767000 53.584111 2016-05-18
146006 114917 12.170583 71.688611 2016-05-18
146007 114945 12.602944 61.497639 2016-05-18
146024 127406 5.092400 74.408400 2016-05-18
146040 147127 15.968694 63.791167 2016-05-18
146050 60150420 6.247778 57.581639 2016-05-18
146075 62321420 5.439722 50.685500 2016-05-18
146261 114873 7.209389 52.048528 2016-05-27
146265 114917 12.177167 72.052556 2016-05-27
146266 114945 12.663167 62.420472 2016-05-27
146299 147127 15.647833 65.088111 2016-05-27
146309 60150420 5.405667 59.078556 2016-05-27
146334 62321420 5.699074 50.822889 2016-05-27
146520 114873 8.219972 53.932500 2016-06-05
146524 114917 11.990111 72.433333 2016-06-05
146525 114945 12.374472 64.366056 2016-06-05
146558 147127 14.264861 65.293000 2016-06-05
146593 62321420 5.035143 52.675000 2016-06-05
146779 114873 5.619294 52.882000 2016-06-14
146783 114917 11.269667 72.658000 2016-06-14
146784 114945 11.410694 65.215833 2016-06-14
146817 147127 13.010806 66.670889 2016-06-14
147038 114873 7.734613 52.556935 2016-06-23
147042 114917 10.514129 73.125452 2016-06-23
147043 114945 10.182875 65.232563 2016-06-23
147076 147127 11.982875 68.082437 2016-06-23

3466 rows × 4 columns


In [471]:
# testcase 4: using the real data
#row_case4 = pd.read_csv("./row_case4.csv")
#ds_9day = xr.open_dataset("./ds_9day.nc")

# bounds
# row_case.lat > ds_9day.lat.min  # descending
# row_case.lat < ds_9day.lat.max  # descending
# row_case.lon > ds_9day.lat.min  # ascending
# row_case.lat > ds_9day.lat.min  # ascending

ds_9day_latmin = ds_9day.lat.to_series().min()
ds_9day_latmax = ds_9day.lat.to_series().max()

ds_9day_lonmin = ds_9day.lon.to_series().min()
ds_9day_lonmax = ds_9day.lon.to_series().max()

mask  = (row_case4.lat > ds_9day_latmin) & (row_case4.lat < ds_9day_latmax) \
        & (row_case4.lon > ds_9day_lonmin) & (row_case4.lon < ds_9day_lonmax)
row_case4 = row_case4[mask]
print(row_case4)  # [3440 rows x 4 columns]


              id        lat        lon       time
1          10206  16.219000  66.533639 2002-07-04
2          10208  13.599500  69.914139 2002-07-04
3          11089  16.068778  65.036972 2002-07-04
4          15703  13.637028  69.915889 2002-07-04
6          27069  20.077750  69.445889 2002-07-04
8          28842  18.624861  60.830556 2002-07-04
9          34159  12.894139  59.736889 2002-07-04
11         34210   6.022361  56.763194 2002-07-04
12         34211   8.210750  68.565389 2002-07-04
13         34212   6.679556  65.946111 2002-07-04
21         34708  10.225111  60.658278 2002-07-04
23         34710  13.057111  50.333750 2002-07-04
24         34714  13.741167  64.694000 2002-07-04
25         34716   7.716750  66.285250 2002-07-04
26         34718  15.458417  72.973500 2002-07-04
27         34719  17.217028  71.378167 2002-07-04
28         34720  14.142056  69.482472 2002-07-04
29         34721  16.928722  65.552333 2002-07-04
30         34722  11.437306  70.746722 2002-07-04
31         34723  16.602917  66.431333 2002-07-04
224      2134712   9.076889  63.827222 2002-07-04
260        10206  16.377000  66.940500 2002-07-13
261        10208  13.412417  70.726278 2002-07-13
262        11089  14.950806  65.671444 2002-07-13
263        15703  13.542222  70.630806 2002-07-13
265        27069  19.667861  71.304944 2002-07-13
267        28842  17.796611  61.256583 2002-07-13
268        34159  14.227972  62.072750 2002-07-13
270        34210   5.166000  56.681857 2002-07-13
271        34211   7.079694  69.984639 2002-07-13
...          ...        ...        ...        ...
145748    114945  12.211833  61.181694 2016-05-09
145765    127406   6.122556  74.268694 2016-05-09
145781    147127  14.255222  63.940944 2016-05-09
145791  60150420   6.582000  56.257750 2016-05-09
145816  62321420   5.877071  50.923714 2016-05-09
146002    114873   6.767000  53.584111 2016-05-18
146006    114917  12.170583  71.688611 2016-05-18
146007    114945  12.602944  61.497639 2016-05-18
146024    127406   5.092400  74.408400 2016-05-18
146040    147127  15.968694  63.791167 2016-05-18
146050  60150420   6.247778  57.581639 2016-05-18
146075  62321420   5.439722  50.685500 2016-05-18
146261    114873   7.209389  52.048528 2016-05-27
146265    114917  12.177167  72.052556 2016-05-27
146266    114945  12.663167  62.420472 2016-05-27
146299    147127  15.647833  65.088111 2016-05-27
146309  60150420   5.405667  59.078556 2016-05-27
146334  62321420   5.699074  50.822889 2016-05-27
146520    114873   8.219972  53.932500 2016-06-05
146524    114917  11.990111  72.433333 2016-06-05
146525    114945  12.374472  64.366056 2016-06-05
146558    147127  14.264861  65.293000 2016-06-05
146779    114873   5.619294  52.882000 2016-06-14
146783    114917  11.269667  72.658000 2016-06-14
146784    114945  11.410694  65.215833 2016-06-14
146817    147127  13.010806  66.670889 2016-06-14
147038    114873   7.734613  52.556935 2016-06-23
147042    114917  10.514129  73.125452 2016-06-23
147043    114945  10.182875  65.232563 2016-06-23
147076    147127  11.982875  68.082437 2016-06-23

[3440 rows x 4 columns]

In [ ]:


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In [ ]:
#### Interface to be seperated from this notebook and into a different routine
def sel_points_multilinear(da, dim='yanyan', **indexers):
    # input xarray.dataset
    # list of coordinates, time[], lon[], lat[],
    # out put a list of
    
    return chl_newInt
    pass



#ds_9day.chlor_a.sel_points(time=list([xtime_test]),lon=list([xlon_test]), lat=list([xlat_test]), method='nearest')
# tmpAll = ds_9day.chlor_a.sel_points(time=list(floatsDFAll_9Dtimeorder.time),lon=list(floatsDFAll_9Dtimeorder.lon), lat=list(floatsDFAll_9Dtimeorder.lat), method='nearest')

In [ ]:
### think about an interface to sperate the test case as a seperate piece.
### should be easy to do

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In [ ]:
#print(type(tmpAll))
#print(size(tmpAll))
#tmpAll[0].shape
#ds_9day.chlor_a.sel_points(time=list([xtime_test]),lon=list([xlon_test]), lat=list([xlat_test]), method='nearest')

In [186]:



Out[186]:
0.21670189702309739

In [417]:
time=list([itime_nearest])
time


Out[417]:
[326]

In [418]:
lat=list([ilat_nearest])
lat


Out[418]:
[2]

In [300]:
lon=list([ilon_nearest])
lon


Out[300]:
[3]

In [323]:
print((1-w_time)*(1-w_lat)*w_lon*ds_9day.chlor_a.isel_points(time=list([itime_nearest]), lat=list([ilat_nearest]), lon=list([ilon_next]))    )


<xarray.DataArray 'chlor_a' (points: 1)>
array([ nan])
Coordinates:
    lon      (points) float64 45.21
    time     (points) datetime64[ns] 2002-07-13
    lat      (points) float64 27.79
  * points   (points) int64 0

In [326]:
a = [np.nan, 5, 6]

In [335]:
ds_9day.chlor_a.isel_points(time=list([itime_nearest]), lat=list([ilat_nearest]), lon=list([ilon_nearest])).values


Out[335]:
array([ nan])

In [362]:
xtime_test


Out[362]:
numpy.datetime64('2002-07-13T00:00:00')

In [ ]:


In [ ]:


In [ ]:


In [ ]:


In [128]:
#### the api for the interpolation operator
def sel_points_multilinear(da, dim='points', **indexers):
    """Return a new DataArray whose dataset is given by bilinear
    interpoation of index labels along the specified dimension(s).
    """
    pass

#sel_points_multilinear(data, lon=[25,45], lat=[10,20], time=[])

In [11]:
#### an 2D unit test example
def test_sel_points_multilinear():
    x = np.arange(10)
    data = 10*x
    da = xr.DataArray(data, dims='x', coords={'x': x})
    
    x0 = 1.5
    data_expected = 15
    
    data_interp = sel_points_multilinear(da, x=x0)
    assert data_interp.values[0] == data_expected
    
    x0 = [1.5, 2.5]
    data_expected = [15, 25]
    
    data_interp = sel_points_multilinear(da, x=x0)
    assert data_interp.values == data_expected
    
    
test_sel_points_multilinear()


---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-11-fb5bce06b808> in <module>()
     18 
     19 
---> 20 test_sel_points_multilinear()

<ipython-input-11-fb5bce06b808> in test_sel_points_multilinear()
      1 #### an 2D unit test example
      2 def test_sel_points_multilinear():
----> 3     x = np.arange(10)
      4     data = 10*x
      5     da = xr.DataArray(data, dims='x', coords={'x': x})

NameError: name 'np' is not defined

In [118]:
da = xr.DataArray(np.random.rand(10), dims='x')
da


Out[118]:
<xarray.DataArray (x: 10)>
array([ 0.52458177,  0.88233255,  0.68879645,  0.04002446,  0.44534634,
        0.89089184,  0.20623118,  0.23330272,  0.7336189 ,  0.46581596])
Coordinates:
  * x        (x) int64 0 1 2 3 4 5 6 7 8 9

In [125]:
da.sel_points(x=[5,6], dim='float_number') # dim is just the name of the coordinates


Out[125]:
<xarray.DataArray (float_number: 2)>
array([ 0.89089184,  0.20623118])
Coordinates:
    x             (float_number) int64 5 6
  * float_number  (float_number) int64 0 1

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In [ ]:


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In [ ]:


In [ ]:


In [ ]:


In [ ]:


In [ ]:


In [ ]:


In [ ]:


In [ ]:


In [ ]:


In [ ]:


In [ ]:


In [ ]:


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In [113]:



Out[113]:
id lat lon time
1 10206 16.219 66.534 2002-07-04 00:00:00

In [96]:
np.random.randn(1,4)


Out[96]:
array([[ 0.6732195 , -2.05477633,  1.71085993, -0.48701498]])

In [ ]:


In [ ]:


In [ ]:


In [ ]:
# a little test for the api in loops for the dataframe   
# check df.itertuples? it is faster and preserves the data format
'''
chl_ocx=[]
for row in floats_timeorder.itertuples():
    #print(row)
    #print('row.time = %s, row.id=%d, row.lon=%4.3f, row.lat=%4.3f' % (row.time,row.id,row.lon,row.lat)  )
    tmp=ds_2day.chl_ocx.sel_points(time=[row.time],lon=[row.lon], lat=[row.lat], method='nearest') # interpolation
    chl_ocx.append(tmp)
floats_timeorder['chl_ocx'] = pd.Series(chl_ocx, index=floats_timeorder.index)
chl_ocx[0].to_series
'''

In [ ]:
for row in floatsDFAll_9Dtimeorder.itertuples():
    print('row.time = %s, row.id=%d, row.lon=%4.3f, row.lat=%4.3f' % (row.time,row.id,row.lon,row.lat)  )
    # now just focus on this singel point:
    # row.time = 2002-07-04 00:00:00, row.id=10206, row.lon=66.534, row.lat=16.219, do interpolation


row.time = 2002-07-04 00:00:00, row.id=7574, row.lon= nan, row.lat= nan
row.time = 2002-07-04 00:00:00, row.id=10206, row.lon=66.534, row.lat=16.219
row.time = 2002-07-04 00:00:00, row.id=10208, row.lon=69.914, row.lat=13.599
row.time = 2002-07-04 00:00:00, row.id=11089, row.lon=65.037, row.lat=16.069
row.time = 2002-07-04 00:00:00, row.id=15703, row.lon=69.916, row.lat=13.637
row.time = 2002-07-04 00:00:00, row.id=15707, row.lon= nan, row.lat= nan
row.time = 2002-07-04 00:00:00, row.id=27069, row.lon=69.446, row.lat=20.078
row.time = 2002-07-04 00:00:00, row.id=27139, row.lon= nan, row.lat= nan
row.time = 2002-07-04 00:00:00, row.id=28842, row.lon=60.831, row.lat=18.625
row.time = 2002-07-04 00:00:00, row.id=34159, row.lon=59.737, row.lat=12.894
row.time = 2002-07-04 00:00:00, row.id=34173, row.lon= nan, row.lat= nan
row.time = 2002-07-04 00:00:00, row.id=34210, row.lon=56.763, row.lat=6.022
row.time = 2002-07-04 00:00:00, row.id=34211, row.lon=68.565, row.lat=8.211
row.time = 2002-07-04 00:00:00, row.id=34212, row.lon=65.946, row.lat=6.680
row.time = 2002-07-04 00:00:00, row.id=34223, row.lon= nan, row.lat= nan
row.time = 2002-07-04 00:00:00, row.id=34310, row.lon= nan, row.lat= nan
row.time = 2002-07-04 00:00:00, row.id=34311, row.lon= nan, row.lat= nan
row.time = 2002-07-04 00:00:00, row.id=34312, row.lon= nan, row.lat= nan
row.time = 2002-07-04 00:00:00, row.id=34314, row.lon= nan, row.lat= nan
row.time = 2002-07-04 00:00:00, row.id=34315, row.lon= nan, row.lat= nan
row.time = 2002-07-04 00:00:00, row.id=34374, row.lon= nan, row.lat= nan
row.time = 2002-07-04 00:00:00, row.id=34708, row.lon=60.658, row.lat=10.225
row.time = 2002-07-04 00:00:00, row.id=34709, row.lon=52.974, row.lat=5.027
row.time = 2002-07-04 00:00:00, row.id=34710, row.lon=50.334, row.lat=13.057
row.time = 2002-07-04 00:00:00, row.id=34714, row.lon=64.694, row.lat=13.741
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row.time = 2008-06-29 00:00:00, row.id=40273, row.lon=70.006, row.lat=11.707
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row.time = 2008-06-29 00:00:00, row.id=45748, row.lon=74.354, row.lat=7.875
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row.time = 2008-06-29 00:00:00, row.id=59213, row.lon=64.397, row.lat=19.919
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row.time = 2008-06-29 00:00:00, row.id=59368, row.lon=66.500, row.lat=5.615
row.time = 2008-06-29 00:00:00, row.id=59369, row.lon=74.499, row.lat=6.512
row.time = 2008-06-29 00:00:00, row.id=59371, row.lon= nan, row.lat= nan
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row.time = 2008-06-29 00:00:00, row.id=59394, row.lon=70.948, row.lat=16.829
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row.time = 2008-06-29 00:00:00, row.id=63074, row.lon=72.977, row.lat=13.486
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row.time = 2008-06-29 00:00:00, row.id=71138, row.lon=54.573, row.lat=10.014
row.time = 2008-06-29 00:00:00, row.id=71139, row.lon=60.000, row.lat=5.461
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row.time = 2008-06-29 00:00:00, row.id=71142, row.lon=63.099, row.lat=5.480
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row.time = 2015-01-09 00:00:00, row.id=59371, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=59372, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=59373, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=59394, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=60492, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62193, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62195, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62196, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62197, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62198, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62199, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62200, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62201, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62202, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62207, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62552, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62553, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62554, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62555, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62556, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62557, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=62558, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63036, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63067, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63068, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63069, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63070, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63071, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63072, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63073, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63074, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63075, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63076, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63926, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63928, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63929, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63930, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63934, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=63935, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=70695, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=70696, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=70697, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=70699, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=70952, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=71138, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=71139, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=71140, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=71141, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=71142, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=71158, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=71159, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=71160, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=71161, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=71162, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=72633, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=72634, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=72638, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=73076, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=73077, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=73079, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=75137, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=75138, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=75140, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=75141, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=75142, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=79184, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=79185, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=79188, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=79322, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=81824, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=81828, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=81851, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=81938, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=81996, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=81997, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=82625, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=83499, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=88651, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=88652, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=88659, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=88671, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=90485, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=90513, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=92626, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=92627, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=92630, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=92631, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=98672, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=98673, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=98674, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=98675, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=98676, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=98679, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=101609, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=101833, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=109290, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=109377, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=109382, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=109402, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=109404, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=109544, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=109551, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=114553, row.lon=67.030, row.lat=15.754
row.time = 2015-01-09 00:00:00, row.id=114556, row.lon=66.506, row.lat=15.641
row.time = 2015-01-09 00:00:00, row.id=114559, row.lon=65.111, row.lat=23.379
row.time = 2015-01-09 00:00:00, row.id=114575, row.lon=67.037, row.lat=19.022
row.time = 2015-01-09 00:00:00, row.id=114873, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=114874, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=114875, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=114876, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=114917, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=114945, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=114948, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=116006, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=116184, row.lon=50.666, row.lat=8.025
row.time = 2015-01-09 00:00:00, row.id=116187, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=116212, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=116345, row.lon=74.404, row.lat=5.146
row.time = 2015-01-09 00:00:00, row.id=116463, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=116464, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=116465, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=116466, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=116467, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=116468, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=126933, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=126935, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=126950, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=127055, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=127406, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=127429, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=133654, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=133659, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=135776, row.lon=69.398, row.lat=15.190
row.time = 2015-01-09 00:00:00, row.id=135780, row.lon=69.946, row.lat=17.245
row.time = 2015-01-09 00:00:00, row.id=135781, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=135782, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=135784, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=135785, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=135786, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=135787, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=135788, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=135789, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=135790, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=145074, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=147127, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=2134712, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=2343739, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=2444350, row.lon= nan, row.lat= nan
row.time = 2015-01-09 00:00:00, row.id=3098671, row.lon= nan, row.lat= nan

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# a little test for the api in loops for the dataframe   
# check df.itertuples? it is faster and preserves the data format
'''
chl_ocx=[]
for row in floats_timeorder.itertuples():
    #print(row) # this line should not be executed!!!! takes a long time!!!!!
    #print('row.time = %s, row.id=%d, row.lon=%4.3f, row.lat=%4.3f' % (row.time,row.id,row.lon,row.lat)  )
    tmp=ds_2day.chl_ocx.sel_points(time=[row.time],lon=[row.lon], lat=[row.lat], method='nearest') # interpolation
    chl_ocx.append(tmp)
floats_timeorder['chl_ocx'] = pd.Series(chl_ocx, index=floats_timeorder.index)
chl_ocx[0].to_series
'''

In [372]:
# this one line avoid the list above
# it took a really long time for 2D interpolation, it takes an hour
tmpAll = ds_9day.chlor_a.sel_points(time=list(floatsDFAll_9Dtimeorder.time),lon=list(floatsDFAll_9Dtimeorder.lon), lat=list(floatsDFAll_9Dtimeorder.lat), method='nearest')
#print('the count of nan vaues in tmpAll is',tmpAll.to_series().isnull().sum())


/Users/vyan2000/local/miniconda3/envs/condapython3/lib/python3.5/site-packages/pandas/indexes/base.py:2352: RuntimeWarning: invalid value encountered in less
  indexer = np.where(op(left_distances, right_distances) |
/Users/vyan2000/local/miniconda3/envs/condapython3/lib/python3.5/site-packages/pandas/indexes/base.py:2352: RuntimeWarning: invalid value encountered in less_equal
  indexer = np.where(op(left_distances, right_distances) |

In [373]:
tmpAll # an array of xarray.DataArray


Out[373]:
<xarray.DataArray 'chlor_a' (points: 147112)>
array([ nan,  nan,  nan, ...,  nan,  nan,  nan])
Coordinates:
    time     (points) datetime64[ns] 2002-07-04 2002-07-04 2002-07-04 ...
    lon      (points) float64 74.96 66.54 69.88 65.04 69.88 74.96 69.46 ...
    lat      (points) float64 27.96 16.21 13.62 16.04 13.62 27.96 20.04 ...
  * points   (points) int64 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 ...

In [374]:
#print(tmpAll.dropna().shape)
tmpAll.to_series().dropna().shape  # (1631,) good values


Out[374]:
(1631,)

In [375]:
# tmp.to_series() to transfer it from xarray dataset to series
floatsDFAll_9Dtimeorder['chlor_a'] = pd.Series(np.array(tmpAll.to_series()), index=floatsDFAll_9Dtimeorder.index)
print("after editing the dataframe the nan values in 'chlor_a' is", floatsDFAll_9Dtimeorder.chlor_a.isnull().sum() )  # they should be the same values as above

# take a look at the data
floatsDFAll_9Dtimeorder

# visualize the float around the arabian sea region
fig, ax  = plt.subplots(figsize=(12,10))
floatsDFAll_9Dtimeorder.plot(kind='scatter', x='lon', y='lat', c='chlor_a', cmap='RdBu_r', edgecolor='none', ax=ax)

def scale(x):
    logged = np.log10(x)
    return logged

#print(floatsAll_timeorder['chlor_a'].apply(scale))
floatsDFAll_9Dtimeorder['chlor_a_log10'] = floatsDFAll_9Dtimeorder['chlor_a'].apply(scale)
floatsDFAll_9Dtimeorder
#print("after the transformation the nan values in 'chlor_a_log10' is", floatsAll_timeorder.chlor_a_log10.isnull().sum() )

# visualize the float around the arabian sea region
fig, ax  = plt.subplots(figsize=(12,10))
floatsDFAll_9Dtimeorder.plot(kind='scatter', x='lon', y='lat', c='chlor_a_log10', cmap='RdBu_r', edgecolor='none', ax=ax)
floatsDFAll_9Dtimeorder.chlor_a.dropna().shape  # (1631,)
#floatsDFAll_9Dtimeorder.chlor_a_log10.dropna().shape  # (1631,)


after editing the dataframe the nan values in 'chlor_a' is 145481
Out[375]:
(1631,)

In [376]:
# take the diff of the chlor_a, and this has to be done in xarray
# transfer the dataframe into xarry dataset again
# take the difference
floatsDFAll_9Dtimeorder


Out[376]:
id time var_lat vn temp lon lat var_tmp var_lon ve spd chlor_a chlor_a_log10
0 7574 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
568 10206 2002-07-04 0.001326 0.027056 NaN 66.533639 16.219000 1000.000000 0.005002 7.056056 8.462583 NaN NaN
1136 10208 2002-07-04 0.000061 -8.270944 NaN 69.914139 13.599500 1000.000000 0.000116 12.942722 17.918639 NaN NaN
1704 11089 2002-07-04 0.000065 -14.363611 27.796889 65.036972 16.068778 0.003620 0.000123 11.143806 20.217250 NaN NaN
2272 15703 2002-07-04 0.000054 -7.037222 28.572750 69.915889 13.637028 0.088844 0.000099 11.706389 16.841889 NaN NaN
2840 15707 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
3408 27069 2002-07-04 0.000056 -1.797889 28.981389 69.445889 20.077750 0.001708 0.000102 24.130583 25.498500 NaN NaN
3976 27139 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
4544 28842 2002-07-04 0.000099 -8.122111 27.620472 60.830556 18.624861 0.003344 0.000208 5.026861 18.067944 NaN NaN
5112 34159 2002-07-04 0.000059 16.704556 NaN 59.736889 12.894139 1000.000000 0.000112 31.753083 37.039111 NaN NaN
5680 34173 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
6248 34210 2002-07-04 0.000063 -17.727861 26.452806 56.763194 6.022361 0.003696 0.000124 -3.750167 26.752611 NaN NaN
6816 34211 2002-07-04 0.000055 -14.241500 28.380222 68.565389 8.210750 0.003512 0.000102 23.260944 28.413083 0.118290 -0.927052
7384 34212 2002-07-04 0.000055 7.009000 28.577889 65.946111 6.679556 0.003549 0.000100 42.864500 48.849444 NaN NaN
7952 34223 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
8520 34310 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
9088 34311 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
9656 34312 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
10224 34314 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
10792 34315 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
11360 34374 2002-07-04 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
11928 34708 2002-07-04 0.000057 2.088833 27.291500 60.658278 10.225111 0.001784 0.000109 30.589861 30.958611 NaN NaN
12496 34709 2002-07-04 0.000094 47.817000 26.934000 52.974000 5.027000 0.002233 0.000189 -84.267000 96.889000 0.288937 -0.539196
13064 34710 2002-07-04 0.000051 -8.140111 31.149000 50.333750 13.057111 0.001854 0.000097 0.763722 47.400444 NaN NaN
13632 34714 2002-07-04 0.000059 4.682833 27.765694 64.694000 13.741167 0.001799 0.000111 35.870556 37.025528 NaN NaN
14200 34716 2002-07-04 0.000057 2.213806 28.780944 66.285250 7.716750 0.001785 0.000106 34.058694 37.381000 NaN NaN
14768 34718 2002-07-04 0.000055 -33.327528 29.063444 72.973500 15.458417 0.001695 0.000103 20.389944 39.619167 NaN NaN
15336 34719 2002-07-04 0.000057 -20.858056 28.959417 71.378167 17.217028 0.001652 0.000107 13.919778 27.380083 NaN NaN
15904 34720 2002-07-04 0.000060 -19.437778 28.664167 69.482472 14.142056 0.001771 0.000111 11.141528 24.609778 NaN NaN
16472 34721 2002-07-04 0.000060 -10.328972 27.908083 65.552333 16.928722 0.001733 0.000113 5.753667 13.113972 NaN NaN
... ... ... ... ... ... ... ... ... ... ... ... ... ...
130639 3098682 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
131207 60073460 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
131775 60074440 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
132343 60077450 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
132911 60150420 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
133479 60454500 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
134047 60656200 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
134615 60657200 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
135183 60658190 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
135751 60659110 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
136319 60659120 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
136887 60659190 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
137455 60659200 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
138023 60940960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
138591 60940970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
139159 60941960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
139727 60941970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
140295 60942960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
140863 60942970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
141431 60943960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
141999 60943970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
142567 60944960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
143135 60944970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
143703 60945970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
144271 60946960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
144839 60947960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
145407 60947970 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
145975 60948960 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
146543 60950430 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
147111 62321420 2016-06-23 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN

147112 rows × 13 columns


In [377]:
# unstack() will provide a 2d dataframe
# reset_index() will reset all the index as columns

In [378]:
# prepare the data in dataset and about to take the diff
tmp = xr.Dataset.from_dataframe(floatsDFAll_9Dtimeorder.set_index(['time','id']) ) # set time & id as the index); use reset_index to revert this operation
# take the diff on the chlor_a
chlor_a_rate = tmp.diff(dim='time',n=1).chlor_a.to_series().reset_index()
# make the column to a proper name
chlor_a_rate.rename(columns={'chlor_a':'chl_rate'}, inplace='True')
chlor_a_rate


# merge the two dataframes {floatsDFAll_XDtimeorder; chlor_a_rate} into one dataframe based on the index {id, time} and use the left method
floatsDFAllRate_9Dtimeorder=pd.merge(floatsDFAll_9Dtimeorder,chlor_a_rate, on=['time','id'], how = 'left')
floatsDFAllRate_9Dtimeorder

# check 
print('check the sum of the chlor_a before the merge', chlor_a_rate.chl_rate.sum())
print('check the sum of the chlor_a after the merge',floatsDFAllRate_9Dtimeorder.chl_rate.sum())


# visualize the chlorophyll rate, it is *better* to visualize at this scale
fig, ax  = plt.subplots(figsize=(12,10))
floatsDFAllRate_9Dtimeorder.plot(kind='scatter', x='lon', y='lat', c='chl_rate', cmap='RdBu_r', vmin=-0.8, vmax=0.8, edgecolor='none', ax=ax)

# visualize the chlorophyll rate on the log scale
floatsDFAllRate_9Dtimeorder['chl_rate_log10'] = floatsDFAllRate_9Dtimeorder['chl_rate'].apply(scale)
floatsDFAllRate_9Dtimeorder
fig, ax  = plt.subplots(figsize=(12,10))
floatsDFAllRate_9Dtimeorder.plot(kind='scatter', x='lon', y='lat', c='chl_rate_log10', cmap='RdBu_r', edgecolor='none', ax=ax)
#floatsDFAllRate_9Dtimeorder.chl_rate.dropna().shape   # (1008,) data points
floatsDFAllRate_9Dtimeorder.chl_rate_log10.dropna().shape   # (417,)data points..... notice, chl_rate can be negative, so do not take log10


check the sum of the chlor_a before the merge -64.3533472159612
check the sum of the chlor_a after the merge -64.3533472159612
Out[378]:
(417,)

In [49]:
pd.to_datetime(floatsDFAllRate_9Dtimeorder.time)
type(pd.to_datetime(floatsDFAllRate_9Dtimeorder.time))
ts = pd.Series(0, index=pd.to_datetime(floatsDFAllRate_9Dtimeorder.time) ) # creat a target time series for masking purpose

# take the month out
month = ts.index.month 
# month.shape # a check on the shape of the month.
selector = ((11==month) | (12==month) | (1==month) | (2==month) | (3==month) )  
selector
print('shape of the selector', selector.shape)

print('all the data count in [11-01, 03-31]  is', floatsDFAllRate_9Dtimeorder[selector].chl_rate.dropna().shape) # total (672,)
print('all the data count is', floatsDFAllRate_9Dtimeorder.chl_rate.dropna().shape )   # total (1008,)


shape of the selector (147112,)
all the data count in [11-01, 03-31]  is (672,)
all the data count is (1008,)

In [50]:
# histogram for non standarized data
axfloat = floatsDFAllRate_9Dtimeorder[selector].chl_rate.dropna().hist(bins=100,range=[-0.3,0.3])
axfloat.set_title('9-Day chl_rate')


Out[50]:
<matplotlib.text.Text at 0x447f5fe48>

In [51]:
# standarized series
ts = floatsDFAllRate_9Dtimeorder[selector].chl_rate.dropna()
ts_standardized = (ts - ts.mean())/ts.std()
axts = ts_standardized.hist(bins=100,range=[-0.3,0.3])
axts.set_title('9-Day standardized chl_rate')


Out[51]:
<matplotlib.text.Text at 0x11a8bf048>

In [52]:
# all the data
fig, axes = plt.subplots(nrows=8, ncols=2, figsize=(12, 10))
fig.subplots_adjust(hspace=0.05, wspace=0.05)

for i, ax in zip(range(2002,2017), axes.flat) :
    tmpyear = floatsDFAllRate_9Dtimeorder[ (floatsDFAllRate_9Dtimeorder.time > str(i))  & (floatsDFAllRate_9Dtimeorder.time < str(i+1)) ] # if year i
    #fig, ax  = plt.subplots(figsize=(12,10))
    print(tmpyear.chl_rate.dropna().shape)   # total is 1001
    tmpyear.plot(kind='scatter', x='lon', y='lat', c='chl_rate', cmap='RdBu_r',vmin=-0.6, vmax=0.6, edgecolor='none', ax=ax)
    ax.set_title('year %g' % i)     
    
# remove the extra figure
ax = plt.subplot(8,2,16)
fig.delaxes(ax)


(47,)
(45,)
(7,)
(38,)
(105,)
(92,)
(140,)
(31,)
(62,)
(16,)
(32,)
(28,)
(198,)
(105,)
(55,)

In [53]:
fig, axes = plt.subplots(nrows=7, ncols=2, figsize=(12, 10))
fig.subplots_adjust(hspace=0.05, wspace=0.05)

for i, ax in zip(range(2002,2016), axes.flat) :
    tmpyear = floatsDFAllRate_9Dtimeorder[ (floatsDFAllRate_9Dtimeorder.time >= (str(i)+ '-11-01') )  & (floatsDFAllRate_9Dtimeorder.time <= (str(i+1)+'-03-31') ) ] # if year i
    # select only particular month, Nov 1 to March 31
    #fig, ax  = plt.subplots(figsize=(12,10))
    print(tmpyear.chl_rate.dropna().shape)  # the total is 672
    tmpyear.plot(kind='scatter', x='lon', y='lat', c='chl_rate', cmap='RdBu_r', vmin=-0.6, vmax=0.6, edgecolor='none', ax=ax)
    ax.set_title('year %g' % i)


(58,)
(1,)
(9,)
(66,)
(44,)
(129,)
(28,)
(50,)
(5,)
(32,)
(0,)
(106,)
(91,)
(53,)

In [ ]:


In [ ]:


In [104]:
# let's output the data as a csv or hdf file to disk to save the experiment time

df_list = []
for i in range(2002,2017) :
    tmpyear = floatsDFAllRate_9Dtimeorder[ (floatsDFAllRate_9Dtimeorder.time >= (str(i)+ '-11-01') )  & (floatsDFAllRate_9Dtimeorder.time <= (str(i+1)+'-03-31') ) ] # if year i
    # select only particular month, Nov 1 to March 31
    df_list.append(tmpyear)
    
df_tmp = pd.concat(df_list)
print('all the data count in [11-01, 03-31]  is ', df_tmp.chl_rate.dropna().shape) # again, the total is (692,)
df_chl_out_9D_modisa = df_tmp[~df_tmp.chl_rate.isnull()] # only keep the non-nan values
#list(df_chl_out_XD.groupby(['id']))   # can see the continuity pattern of the Lagarangian difference for each float id

# output to a csv or hdf file
df_chl_out_9D_modisa.head()


all the data count in [11-01, 03-31]  is  (672,)
Out[104]:
id time temp var_lat var_tmp ve var_lon vn lon spd lat chlor_a chlor_a_log10 chl_rate chl_rate_log10
3627 10206 2002-11-07 NaN 0.000494 1000.000000 -2.217083 0.001535 2.990778 67.132000 5.446583 11.126222 0.130267 -0.885166 -0.004264 NaN
3629 11089 2002-11-07 28.829472 0.000064 0.003812 -16.412472 0.000123 -3.991722 64.391056 17.995028 14.279667 0.197237 -0.705012 0.074821 -1.125976
3631 15707 2002-11-07 NaN 0.000074 1000.000000 -12.316611 0.000147 -18.253056 67.155306 24.656417 13.142667 0.152200 -0.817584 -0.004472 NaN
3649 34710 2002-11-07 28.448167 0.000069 0.001857 -2.827667 0.000135 19.539861 63.041861 20.774778 17.717111 0.372568 -0.428795 0.018603 -1.730417
3886 10206 2002-11-16 NaN 0.001033 1000.000000 -1.089083 0.003872 0.501111 67.029167 4.028889 11.179833 0.145233 -0.837935 0.014966 -1.824894

In [105]:
df_chl_out_9D_modisa.index.name = 'index'  # make it specific for the index name

# CSV CSV CSV CSV with specfic index
df_chl_out_9D_modisa.to_csv('df_chl_out_9D_modisa.csv', sep=',', index_label = 'index')

# load CSV output
test = pd.read_csv('df_chl_out_9D_modisa.csv', index_col='index')
test.head()


Out[105]:
id time temp var_lat var_tmp ve var_lon vn lon spd lat chlor_a chlor_a_log10 chl_rate chl_rate_log10
index
3627 10206 2002-11-07 NaN 0.000494 1000.000000 -2.217083 0.001535 2.990778 67.132000 5.446583 11.126222 0.130267 -0.885166 -0.004264 NaN
3629 11089 2002-11-07 28.829472 0.000064 0.003812 -16.412472 0.000123 -3.991722 64.391056 17.995028 14.279667 0.197237 -0.705012 0.074821 -1.125976
3631 15707 2002-11-07 NaN 0.000074 1000.000000 -12.316611 0.000147 -18.253056 67.155306 24.656417 13.142667 0.152200 -0.817584 -0.004472 NaN
3649 34710 2002-11-07 28.448167 0.000069 0.001857 -2.827667 0.000135 19.539861 63.041861 20.774778 17.717111 0.372568 -0.428795 0.018603 -1.730417
3886 10206 2002-11-16 NaN 0.001033 1000.000000 -1.089083 0.003872 0.501111 67.029167 4.028889 11.179833 0.145233 -0.837935 0.014966 -1.824894

In [ ]: