Is distance from capital an absolute as crows fly sort of measure or does it take into account the different speeds that infrastructure allows, so connected by class 3 infrastructure would be "closer" than without it???
Distance to capital is purely a distance measurement. It is a straight line distance that is simply expressed as a number of days to give a good frame of reference.
There is no method of adjusting the transit time. Infrastructure, naval bases, unit speed research, or right of way to take shortcuts, None of that matters to the calculation.War is a game that is played with a smile. If you can't smile, grin. If you can't grin keep out of the way til you can. - Winston Churchill
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It isn't circular. For example, when you study the "circle" for aeroplane range closely, you'll notice it isn't really a circle but an oval.Everybody has a right to be stupid, but some people abuse the privilege. - Josef Stalin.
The "camera angle" at which you look at the map is tilted a bit, making vertical distances look shorter than they are in reality. You can see this when you look at all the country shapes. Therefore range circles are also ovals and it takes longer to travel vertical distances than horizontal distances.