Do starbases need supplies?

[Ack]

But since bases are immobile it wouldn't be any different from a fleet sitting at just about any location in a galaxy (at full supplies though).

Once the base was removed from the fleet wouldn't the fleet supplies return to the previous level? Or would it be completely resupplied?

Actually, it would be a nice feature if a base could resupply some limited amount of supplies per turn. At a rate significantly faster than a solar panel, but still limited.