@McHrozni
Thanks for your thoughts...
It is not entirely clear (to me) in the game what the population figure actually represents.
The extermination mechanism seems to imply it is the population of settlements - because extermination is performed instantly when a settlement is captured.
The recruitment mechanism seems to imply it is the available male fighting age population in the whole province - otherwise why should my settlement having only 400 population stop me recruiting troops from elsewhere in the province?
Buildings seem to send mixed messages, some supporting settlement-only (cess-pits, temples, taverns) and others supporting whole province (farms, ports, roads, government).
I think the settlement also represents
all other settlements in the province, therefore its population can likewise represent the whole population of the province.
The biggest argument against the hinterland view is that it is not modelled anywhere in the game - you only have one population number for a province, you can only control (or lose) the whole province, and you cannot benefit from your presence in a province you don't fully control.
Of course some things still fall outside of the model, such as mercenaries and rebels - they don't affect province population at all!

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