Yes Vicky 3 has this. The graph below is the birth rate vs mortality vs overall trilinear growth curve.
View attachment 921674
Important points to note:
SoL 8 =
zero growth
SoL 13 = population
doubling over 100 years (which is higher than the historic world growth for the period).
SoL 20 = the point at which growth starts decline due to wealth
This means that population growth is
very sensitive to moving population from SoL8 up to SoL13.
If you have a quick look at typical in-game SoL, you'll see that peasants often float around the SoL 6-10 range (zero growth), where-as other Pops quickly move well above 13.
So growth rate (as the game is currently calibrated) is
heavily dominated by the ability to move peasants into other roles. Obviously this is further exacerbated by the fact that the majority of pops are peasants at the start of the game.
The curve probably does a pretty good job of reflecting typical player behaviour (I'm assuming the typical players can figure our how to get rids of their peasants). But if you look at any flat-lining AI countries in a late-game save, you'll see
heaps of peasants - which leads to zero growth.
At the wealthy end of the spectrum, SoL
definitely impacts the birth rate of wealthy Pops (>20), however there just aren't that wealthy many Pops in the game compared to peasants, labourers and farmers... so it doesn't usually have much impact to
total growth.