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The rest is just speculation on my part.
Renaissance: i think this one is pure random, it just chooses from the list of provinces or tags that meet the requirement.
Colonialism: the tag to found the first colony or the one with the most.
Printing Press: possibly the first nation to switch state religion.
Manufactories: the tag that has the most manufactories, maybe considering number of em vs provinces owned
Enlightenment: same as manufactories but for universities.
Those are at least my suspicions, it's hard to test since they are so rare and i only play ironman these days.
as far as i understand them they are all semi-random.
there are some trigger conditions for every constitution if you fullfill them you are in the pool of a "dice throw"
the conditions are found here
http://www.eu4wiki.com/Institutions
You can also find them in-game in the institutions tab when you hover over the year of it's first possible appearance. It also gives you a checklist if you meet the conditions or not.
Colonialism and Printing Press both. I would assume it's the same with the rest too since most of the game mechanics are probabilities.
Only Renaissance is tied to Europe, Italy to be more specific. The others can at least in theory appear in other places but in practice it's more probable that they spawn in Europe. In a normal game it would be really hard to center them elsewhere and take also a lot of luck but it is possible.
The rest are all [met condition] = [chance to get it] on a provincial level. The only thing that is unclear are these:
start_chance = 25 #in 100 for when a province can_start
They differ from 5 - 25 and i am not really sure what they do as they seem to be per institution. Maybe the system is set up that for the event a list is generated with all eligible provinces, then the order is randomized after that every entry until success will have the start_chance as a % of spawning.
Anyways it seems the only way to influence the outcome (besides GT) seems to be getting a bigger number of eligible provinces.
Btw someone at pdx doesn't like Golestan, it is literaly the only province were feudalism can't spawn :)
Welp i was hoping the code would allow for more player agency in it, but there we have it :S