Fixing the enemy units behind-the-lines problem

[Lord God Jinnai]

I agree...control of the capital while important, did not mean you effectively controllled more than the surrounding area. It is where the a lot of infrastcuture and populace and most of the adminstrative infra usually are, but then it becomes a race simply to go after the capital and ignore everything inbetween because you know you'll get it when the capitcal flips, reguardless of whether or not you have a single troop oustide the capital in the province.

[LDiCesare]

(BTW There is a bug where the influence map doesn't update properly. The bright red from Hannibal's passage through Gaul [while playing Romans] remains even when he is long gone and in the Italian peninsula!)

Yes, I don't recompute the map shown on each turn. If you click again on the map filter, it will update, though. I add it on my list of things to do.
2 turns is already long for influence of an army. It's been quite common for armies to not move because an enemy army was known to be nearby, but 3 turns is really long imo. And if I put that to some power, the effect would be really low so I'm not sure if it's worth using a complex equation that will take lots of time to cimpute if it's almost the same result as a simple one? I can easily add 1 turn or 2, but I'm not sure it's useful.
I think the conquest of a capital now takes military influence into account for every square (considering how I coded it, it should, but it may be bugged, I ahven't tested recently).