... in game terms that would mean:
a) special line, notifying how much next pillage may brought, in the province information block - and it shows a lot of data already.
b) different icon for each stage of pillage - and Art director is busy moving into her temporary shelter.
c) players having to micro-management this multiple pillaging - while they will have plenty of other things to look for.
Maybe you will be eased knowing there is indeed "Sack" action for an army - aimed on, to say graciously, reducing income and manpower of the province?
Duke in Red