It's not super hard.
1. Download the data
2. Import it to GIS (probably comes in text file, so some conversion
will be needed.)
3. Densify the lines, or create lines between the pairs of airports.
Point 2 Lines plugin should help. You need to make sure to add nodes
along the way (Densify), otherwise the lines won't curve nicely. There's
a little trial and error to get them dense enough without making to many
nodes.

I used this data set for a cartography class 5+ years ago, it's a fun
one. You can see a couple of examples here
http://geography.ucdavis.edu/gallery/classes/geo-290-f10-cartography

Enjoy,
Alex

On 03/25/2017 05:06 PM, Falk Huettmann wrote:
> Hi there,
> 
> I have a question, if I may:
> 
> at the following website
> 
> http://openflights.org/data.html
> 
> there are these maps of airlines, connecting airports.
> 
> http://openflights.org/demo/openflights-routedb-2048.png
> 
> The actual map and code can apparently be bought,
> but instead I am looking for a self-made solution (I do not like how people
> cash in on a GIS bottleneck).
> 
> Would you perhaps know how that map can be done, e.g.
> in QGIS or related in an OpenGIS framework or code?
> 
> Thanks so much; kind regards
>      Falk
> 
> 
> 
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