Time series using STAC API statistics endpoint

This notebook demonstrates how to generate a timeseries using STAC API statistics endpoints.

  • Author: Leo Thomas
  • Lasted Updated Date: Agust 4, 2022
import datetime as dt
import time
import json
import pprint
import requests as re
import folium
import matplotlib.pyplot as plt



STAC_API_URL = "https://staging-stac.delta-backend.com"
RASTER_API_URL = "https://staging-raster.delta-backend.com"

Declare your collection of interest

You can discover available collections the following ways:

  • Use the {STAC_ENDPOINT_URL}/collections API endpoint (JSON response)
  • Programmatically using pystac (see example in the list-collections.ipynb notebook
  • In the STAC Browser: http://delta-staging-stac-browser.s3-website-us-east-1.amazonaws.com/
collection = 'no2-monthly'

Discover data using the STAC endpoint

re.get(f"{STAC_API_URL}/collections/{collection}").json()
{'id': 'no2-monthly',
 'type': 'Collection',
 'links': [{'rel': 'items',
   'type': 'application/geo+json',
   'href': 'https://staging-stac.delta-backend.com/collections/no2-monthly/items'},
  {'rel': 'parent',
   'type': 'application/json',
   'href': 'https://staging-stac.delta-backend.com/'},
  {'rel': 'root',
   'type': 'application/json',
   'href': 'https://staging-stac.delta-backend.com/'},
  {'rel': 'self',
   'type': 'application/json',
   'href': 'https://staging-stac.delta-backend.com/collections/no2-monthly'}],
 'title': 'NO₂',
 'extent': {'spatial': {'bbox': [[-180, -90, 180, 90]]},
  'temporal': {'interval': [['2016-01-01T00:00:00Z',
     '2022-01-01T00:00:00Z']]}},
 'license': 'MIT',
 'summaries': {'datetime': ['2016-01-01T00:00:00Z', '2022-05-01T00:00:00Z'],
  'cog_default': {'max': 50064805976866816, 'min': -6618294421291008}},
 'description': 'Darker colors indicate higher nitrogen dioxide (NO₂) levels and more activity. Lighter colors indicate lower levels of NO₂ and less activity. Missing pixels indicate areas of no data most likely associated with cloud cover or snow.',
 'item_assets': {'cog_default': {'type': 'image/tiff; application=geotiff; profile=cloud-optimized',
   'roles': ['data', 'layer'],
   'title': 'Default COG Layer',
   'description': 'Cloud optimized default layer to display on map'}},
 'stac_version': '1.0.0',
 'stac_extensions': ['https://stac-extensions.github.io/item-assets/v1.0.0/schema.json'],
 'dashboard:is_periodic': True,
 'dashboard:time_density': 'month'}

Describe the periodic nature of the data

pprint.pprint({
    k:v for k,v in re.get(f"{STAC_API_URL}/collections/no2-monthly").json().items()
    if k in ["dashboard:is_periodic", "dashboard:time_density", "summaries"]
})
{'dashboard:is_periodic': True,
 'dashboard:time_density': 'month',
 'summaries': {'cog_default': {'max': 50064805976866816,
                               'min': -6618294421291008},
               'datetime': ['2016-01-01T00:00:00Z', '2022-05-01T00:00:00Z']}}

Load and inspect one of the STAC items

We will use this list of STAC Items to generate the timeseries chart, but providing each STAC Item (which corresponds to a timestep) to the /statistics endpoint

items = re.get(f"{STAC_API_URL}/collections/{collection}/items?limit=100").json()["features"]
items[0]
{'id': 'OMI_trno2_monthly_0.10x0.10_202205_Col3_V4.nc',
 'bbox': [-180.0, -90.0, 180.0, 90.0],
 'type': 'Feature',
 'links': [{'rel': 'collection',
   'type': 'application/json',
   'href': 'https://staging-stac.delta-backend.com/collections/no2-monthly'},
  {'rel': 'parent',
   'type': 'application/json',
   'href': 'https://staging-stac.delta-backend.com/collections/no2-monthly'},
  {'rel': 'root',
   'type': 'application/json',
   'href': 'https://staging-stac.delta-backend.com/'},
  {'rel': 'self',
   'type': 'application/geo+json',
   'href': 'https://staging-stac.delta-backend.com/collections/no2-monthly/items/OMI_trno2_monthly_0.10x0.10_202205_Col3_V4.nc'}],
 'assets': {'cog_default': {'href': 's3://veda-data-store-staging/no2-monthly/OMI_trno2_monthly_0.10x0.10_202205_Col3_V4.nc.tif',
   'type': 'image/tiff; application=geotiff; profile=cloud-optimized',
   'roles': ['data', 'layer'],
   'raster:bands': [{'scale': 1.0,
     'nodata': -1.2676506002282294e+30,
     'offset': 0.0,
     'sampling': 'area',
     'data_type': 'float32',
     'histogram': {'max': 16009167399550976,
      'min': -2647376502194176.0,
      'count': 11,
      'buckets': [254, 378517, 28452, 2275, 668, 196, 31, 15, 5, 2]},
     'statistics': {'mean': 420353736794736.56,
      'stddev': 570417159377508.8,
      'maximum': 16009167399550976,
      'minimum': -2647376502194176.0,
      'valid_percent': 78.28044891357422}}]}},
 'geometry': {'type': 'Polygon',
  'coordinates': [[[-180.0, -90.0],
    [180.0, -90.0],
    [180.0, 90.0],
    [-180.0, 90.0],
    [-180.0, -90.0]]]},
 'collection': 'no2-monthly',
 'properties': {'datetime': None,
  'proj:bbox': [-180.0, -90.0, 180.0, 90.0],
  'proj:epsg': 4326,
  'proj:shape': [1800, 3600],
  'end_datetime': '2022-05-31T00:00:00Z',
  'proj:geometry': {'type': 'Polygon',
   'coordinates': [[[-180.0, -90.0],
     [180.0, -90.0],
     [180.0, 90.0],
     [-180.0, 90.0],
     [-180.0, -90.0]]]},
  'proj:transform': [0.1, 0.0, -180.0, 0.0, -0.1, 90.0, 0.0, 0.0, 1.0],
  'start_datetime': '2022-05-01T00:00:00Z'},
 'stac_version': '1.0.0',
 'stac_extensions': ['https://stac-extensions.github.io/projection/v1.0.0/schema.json',
  'https://stac-extensions.github.io/raster/v1.1.0/schema.json']}

Define a bounding box for which we will generate a timeseries

We will be using a bounding box over metropolitan france

france_bounding_box = {
    "type": "Feature",
    "properties": {"ADMIN": "France", "ISO_A3": "FRA"},
    "geometry": {
        "type": "Polygon",
        "coordinates": [
            [
                [-5.183429, 42.332925],
                [8.233998, 42.332925],
                [8.233998, 51.066135],
                [-5.183429, 51.066135],
                [-5.183429, 42.332925],
            ]
        ],
    },
}



m = folium.Map(
    location=[40,0],
    zoom_start=3,
)

folium.GeoJson(france_bounding_box, name="France").add_to(m)
m
Make this Notebook Trusted to load map: File -> Trust Notebook

Use /cog/statistics to get data for the desired area

First, we create a generate_stats function and then we call it with the bounding box defined for France.

# the bounding box should be passed to the geojson param as a geojson Feature or FeatureCollection
def generate_stats(item, geojson):
    result = re.post(
        f"{RASTER_API_URL}/cog/statistics", 
        params={
            "url":item["assets"]["cog_default"]["href"]
        },
        json=geojson
    ).json()    
    return {
        **result["properties"], "start_datetime":item["properties"]["start_datetime"]
    }
   

Generate and estimate time to generate statistics

This may take a couple minutes, due to the complexity of the shape we’re requesting

start = time.time()
stats = [generate_stats(item, france_bounding_box) for item in items]
end = time.time()
print(f"Elapsed time for bounding box (france): {round(end-start,2)} seconds. Items queried: {len(items)}")
Elapsed time for bounding box (france): 98.26 seconds. Items queried: 77

Inspect one result

stats[1]
{'statistics': {'1': {'min': -999280714186752.0,
   'max': 8037704876949504.0,
   'mean': 1701792576093662.0,
   'count': 11524.0,
   'sum': 1.961145764690336e+19,
   'std': 1239948639632983.5,
   'median': 1397377273430016.0,
   'majority': 949771149770752.0,
   'minority': -999280714186752.0,
   'unique': 11522.0,
   'histogram': [[94.0,
     2362.0,
     4614.0,
     2517.0,
     1037.0,
     389.0,
     210.0,
     189.0,
     90.0,
     22.0],
    [-999280714186752.0,
     -95582155073126.38,
     808116404040499.2,
     1711814963154125.0,
     2615513522267750.5,
     3519212081381376.0,
     4422910640495002.0,
     5326609199608627.0,
     6230307758722253.0,
     7134006317835879.0,
     8037704876949504.0]],
   'valid_percent': 98.85,
   'masked_pixels': 134.0,
   'valid_pixels': 11524.0,
   'percentile_2': 96438062866759.7,
   'percentile_98': 5628499354441481.0}},
 'ISO_A3': 'FRA',
 'ADMIN': 'France',
 'start_datetime': '2022-04-01T00:00:00Z'}
dates = [dt.datetime.strptime(stat["start_datetime"], "%Y-%m-%dT%H:%M:%SZ") for stat in stats]

means = [stat["statistics"]["1"]["mean"] for stat in stats]

maxs = [stat["statistics"]["1"]["max"] for stat in stats]
mins = [stat["statistics"]["1"]["min"] for stat in stats]

std_devs = [stat["statistics"]["1"]["std"] for stat in stats]

upper_bounds = [m+s for (m,s) in zip(means, std_devs)]
lower_bounds = [m-s for (m,s) in zip(means, std_devs)]

fig = plt.figure(figsize=(20,10))

plt.plot(dates, means, 'black', label="Mean monthly NO2 values")

plt.fill_between(dates, upper_bounds, lower_bounds, facecolor="lightgray", interpolate=False, label="+/- one standard devation")

plt.plot(dates, mins, color='blue', linestyle="-", linewidth=0.5, label="Max monthly NO2 values")
plt.plot(dates, maxs, color='red', linestyle="-", linewidth=0.5, label="Min monhtly NO2 values")

plt.legend()
plt.title("NO2 Values in France (2016-2022)")
Text(0.5, 1.0, 'NO2 Values in France (2016-2022)')

In this graph we can see the yearly cycles in NO2 values due to seasonal variations, as well as a slight downward slope in maximum NO2 values

Complex AOI

The values plotted above don’t correspond exactly to Fance, since the bounding box excludes Corsica and overseas territories such as Mayotte and French Polynesia, and covers parts of neighboring countries including Spain, Italy, Germany and the entirety of Luxembourg.

While the NO2 values above correspond more or less to those of in France, we can be much more precise by using a complex geojson that represents the boundaries of France exactly, including overseas territories in the Carribean and Indian Oceans, and South America

france_aoi = { 
    "type": "Feature", 
    "properties": { 
        "ADMIN": "France", 
        "ISO_A3": "FRA" 
    }, 
    "geometry": { 
        "type": "MultiPolygon", 
        "coordinates": [ [ [ [ 55.501312696000099, -20.87322356599999 ], [ 55.51400800900015, -20.875176690999936 ], [ 55.527110222, -20.870049737999935 ], [ 55.542491082000168, -20.875095309999963 ], [ 55.578379754000167, -20.87476979000003 ], [ 55.59229576900006, -20.880303643999866 ], [ 55.605804884000094, -20.888278903999918 ], [ 55.65064537900011, -20.898044528999861 ], [ 55.663828972000175, -20.90520598799999 ], [ 55.673838738000171, -20.913181247999859 ], [ 55.695323113000114, -20.935235283999859 ], [ 55.702810092000078, -20.949395440999879 ], [ 55.706553582000112, -20.982110283999901 ], [ 55.712087436000189, -20.993584893999852 ], [ 55.73658287900011, -21.017836195999934 ], [ 55.740000847000061, -21.024672132999939 ], [ 55.741465691000116, -21.044528903999861 ], [ 55.743662957000112, -21.054620049999912 ], [ 55.74683678500017, -21.062595309999878 ], [ 55.753103061000132, -21.066989841999956 ], [ 55.770518425000063, -21.073825778999961 ], [ 55.774180535000113, 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    } 
}
m = folium.Map(
    location=[40,0],
    zoom_start=2,
)

folium.GeoJson(france_aoi, name="France").add_to(m)
m
Make this Notebook Trusted to load map: File -> Trust Notebook

We can now request the NO2 values for this complex AOI the same way as for the bounding box.

Notice, however, that due to the complexity of the shape, it takes much longer to gather the requested data (approximately 250 seconds, compared to approx. 100 seconds for the bounding box)

start = time.time()
aoi_stats = [generate_stats(item, france_aoi) for item in items]
end = time.time()
print(f"Elapsed time for a complex AOI (france): {round(end-start,2)} seconds. Items queried: {len(items)}")
Elapsed time for a complex AOI (france): 244.76 seconds. Items queried: 77

We can compare the mean monthly NO2 values calculated when using the bounding box and when using the country’s exact borders

dates = [dt.datetime.strptime(stat["start_datetime"], "%Y-%m-%dT%H:%M:%SZ") for stat in stats]
aoi_means = [stat["statistics"]["1"]["mean"] for stat in aoi_stats]
fig = plt.figure(figsize=(20,10))

plt.plot(dates, means, color='blue', label="Mean monthly NO2 values using bounding box")
plt.plot(dates, aoi_means, color='red', label="Mean monthly NO2 values using complex AOI")

plt.legend()
plt.title("NO2 Values in France (2016-2022)")
Text(0.5, 1.0, 'NO2 Values in France (2016-2022)')

While the difference is small, it is very interesting to note that the NO2 values calculated using the exact borders are systematically less than when using the bounding box. This may be due to the fact that the bounding box includes parts of western Germany and northern Italy that have a lot industrial activity, whereas the areas included when using the exact borders that are not included in the bounding box case, are overseas territories much less industrial activity.

Comparison: multi vs single threaded approach

We can drastically reduce the time it takes to generate the timeseries, even with the complex AOI above, by taking advantage of the API’s underlying infrastructure. The API is powered by AWS Lambda, and executes each request in a separate instance, which makes it highly scalable. Since each statistics request is for a single timestamp, we can request statistics for multiple timesteps concurrently, and greatly reduce the amount of time needed. We will demonstrate this by using the concurrent.futures library:

from concurrent.futures import ThreadPoolExecutor 

# suspended function evaluation
def _generate_stats(item):
    return generate_stats(item, france_aoi)

start = time.time()
with ThreadPoolExecutor(max_workers=10) as executor: 
    aoi_stats = list(executor.map(_generate_stats, items))
end = time.time()
print(f"Elapsed time for a complex AOI (france): {round(end-start,2)} seconds. Items queried: {len(items)}")
Elapsed time for a complex AOI (france): 24.36 seconds. Items queried: 77

By multi-threading the operation, we’ve reduced the runtime by a factor of almost 9 !