ORIGINAL: AstaSyneri
Thanks for the Pontics hints.
Yes, supply is important. Is there a good tutorial somewhere?
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Check out Narwhal's threads on how the AJE combat system works (on the AGEOD forum), that will help you a lot with estimating when and how to risk combat with the Pontic army.
There is no supply tutorial as such but AJE has the same system as the older Wars in America (WiA), so a lot of the discussion in those AARs about how supply (lack) drives strategy is valid.
The key is that supply doesn't move around the map but stays in the province it is produced. So you need to either go to it, or bring it to you. Its worth trying to preserve your organic supply till you really need it. So one trick is to look at the supply demanded by a stack (hovver over the supply icon on the stack) and it will tell it needs 'x per turn'. Now look for provinces that produce that level.
The ideal is to have more supply in a province than you need to use (this will replenish any organic supply you burnt off). This might tell you how to break your army down for winter to maximise supply. Clearly a large city with a large depot is wonderful, but a cluster of smaller cities can be useful.
When marching, again ideally you want to move from supply source to supply source. You can't always manage this so you need to rely on your supply wagons. This includes sending them back to replenish (escort them if you have any fears of their loss) either at a large city or via a fleet (as above).
If you are campaigning with a Roman army in Italy or Greece (in the early scenarios) all this is of minimal importance. It really hits the Pontics as first Asia Minor is less well developed and second you need a larger army (to compensate for having less effective troops)