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So, if you build something that boosts manufacturing income by 30%, then put buildings with manufacturing income in the other regions the "flat" income from all those buildings is boosted by 30%. If you build a second +30% manufacturing building and a temple that boosts "all income" by 10% in different regions then your manufacturing income will get an overall 70% increase (and all other provincial income a 10% bonus, regardless of region or type of income). These effects are unique to the local province.
It says "all regions" because there are specialist towns (marble, olive oil, wine, lead, gold etc..) with bonuses that affect "all provinces" and boost public order, recruitment or income throughout your empire and there are several niche effects that are region specific (Pergamon and Carthage get unique bonuses iirc).
You should be able to trace how your building income changes %-wise but there are the local provincial building effects and also potential faction-wide effects to take into account (other buildings, potentially wonders, technological research), perhaps even characters depending on the type of income, so there's quite a lot to look for.
Agriculture is quite volatile as well due to seasonal effects leading to large swings in productivity and hence income so in your last example I would consider what buildings you just completed, any settlements conquered and maybe check whether you have a bumper harvest +x% perhaps following a wet summer -y%, magnifying the change (Rome 2 working on one turn per year but a 4 season cycle so oddities like that can happen).
Thank you so much this explains a lot! :)
You're welcome though looking at what I wrote I see I was wrong on a couple of points. Economic effects (and income) are calculated at the settlement level and then aggregated for the province but public order is calculated at the province level, so "all provinces" refers to public order and "all regions" to income. In both cases the effect is global throughout your empire. If there is no additional text the scope is the local province only
Also Carthage's maritime commerce bonus is global not a niche local one as I thought.
Character effects (income or public order) may be local (local province) or global (all regions) so, e.g., Carthaginian women, who cannot be used as generals/admirals, can nevertheless be promoted and they all gain a +5% agriculture income bonus on first promotion (thus a large family tree gives a large cumulative bonus - although of questionable value given low agricultural revenues).