|Visualizing atmospheric particulate matter concentrations on a map|
This page is about creating a 'stofradar' image of atmospheric particulate matter concentrations based on the raw data measured by the luftdaten.info network, see www.stofradar.nl.
See also my DustSensor page.
luftdaten.info is an initiative to allow citizens to measure atmospheric particulate matter concentration using an inexpensive and easy to build sensor. They collect this data, calculate 5 minute and daily averages and publish it again as open data. The total number of sensors is about 5000 worldwide, most of them in Germany, Bulgaria, Belgium, Austria, Sweden. The Netherlands has about 100 sensors.
- get an OSM background map, once their export functionality works again
- fix fine alignment between map and dust overlay
- put all of the images from one day into an animation
- also create a map of a larger area, including germany (it has a lot of data points)
The general idea is to create an image, with a map at the background and the atmospheric particulate matter concentration overlaid on top.
Pages to investigate:
What I need/want is to be able to specify the 'bounding box' and use a equirectangular projection, so I can easily map a pixel back to a latitude/longitude.
Since we only have data at a set of discrete points, the concentration at other points is estimated by combining data from all sensors using inverse distance weighting, in particular using the distance *squared* as the weighing factor in a weighted average. So a nearby sensor has a large effect and a far away sensor has very little effect, contributing only a little bit to the global average.
To calculate the distance2, I use a very simple approximation:
- determine the difference in longitude and latitude
- apply an 'aspect ratio' factor of cos(latitude) to the longitude difference. I use the latitude of the approximate middle of the netherlands (52.2 lat, 5.3 lon) to calculate this aspect ratio factor.
- distance2 = (difference latitude)2 + (difference longitude)2
A better way would be to use the 'great-circle-distance' and possibly even account for the fact that the earth is not perfectly spherical, but I like to start simple and this makes the calculation a lot faster.
The colours I'm using (a kind of inverted spectral range from blue to red):
- 0 ug/m3: fully transparent white (#FFFFFF)
- 25 ug/m3: semi-transparent cyan (#00FFFF)
- 50 ug/m3: semi-transparent yellow (#FFFF00). This is the threshold for the maximum daily average in the Netherlands.
- 100 ug/m3: semi-transparent red (#FF0000)
- 200 ug/m3 and higher: semi-transparent purple (#FF00FF)
Values in between these levels are interpolated linearly with respect to the RGB colour value and alpha channel.
This scale is approximately logarithmic, with each step being twice as big as the previous one.
I use imagemagick for this, for example:
composite -compose over -geometry 600x800 20180605_210100.json.png netherlands.png output.png
where netherlands.png is an 600x800 opaque black-and-white image of the map of the netherlands and 20180605_210100.json.png is an 60x80 image of dust concentrations with an alpha channel
See the github page for the source code.