Let's be honest, the cap on children isn't realistic. There is no reason to say that at a certain point, you can't have any more children. One of the ways to fix this is to improve the realism of child death rates. Basically, children only had a 50% chance of making adulthood. Obviously the nobility would have a better chance due to improved resources, but not by much. More realistic conception functions could also help. There should be academic analysis of birth and death rates of nobility available.
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