How does pop affect production capacity?

Is there a quantitatively known relationship here? Also is there a knowm relationship between production capacity and planet quality? It seems to me that small underpopulated planets have relatively large production capacities, which could have strstegic importance.
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The way I see it and I may be wrong is that morale between 52 and 100 is like a throttle on pop growth with 100 being wide open and 52 in idle.

A planet left alone will gradually decrease in morale until pop comes in stasis with planet capacity and then pop growth will level out at 52 morale.
Building a +morale project will increase morale therefore increasing for a time pop growth only to creep down again if nothing is added.
You have now increased the planets population and it's holding capacity so you gain a little more productivity but eventually the morale will creep down but you have gained a bit more capacity and it is stable at a higher pop.