The low retention of Quiverfull; that is most people raised from Quiverfull parents ending up being Christian but not Quiverfull is not a bug, it’s a feature. The analogy is in fact very good. Arrows used in warfare are expended and not recoverable while the battle continues.
It is a bug because it prevents—or at least drastically delays—the population explosion they aim at.
If each Quiverfull couple begets 10 children, the next generation of Quiverfull will have 5 times the population of the original generation (p2=5⋅p1) and they all remain Quiverfull and keep the same birth rate, then p3=25⋅p1 - generally pn=5n−1⋅p1.
But 80% of each generation end up not being Quiverfull, then even if you count them toward the Quiverfull population they’ll still only have, say 2 children per couple—so p3=1⋅(0.8⋅p2)+5⋅(0.2⋅p2)=1.8⋅p2. Even if we neglect the fact that 44% of these children were not raised as Quiverfull to begin with and assume that only 20% of the total p3=1.8⋅p2 will be Quiverfull parents with 10 children per couple—the exponential explosion still drops from O(5n) to O(1.8n).
The low retention of Quiverfull; that is most people raised from Quiverfull parents ending up being Christian but not Quiverfull is not a bug, it’s a feature. The analogy is in fact very good. Arrows used in warfare are expended and not recoverable while the battle continues.
It is a bug because it prevents—or at least drastically delays—the population explosion they aim at.
If each Quiverfull couple begets 10 children, the next generation of Quiverfull will have 5 times the population of the original generation (p2=5⋅p1) and they all remain Quiverfull and keep the same birth rate, then p3=25⋅p1 - generally pn=5n−1⋅p1.
But 80% of each generation end up not being Quiverfull, then even if you count them toward the Quiverfull population they’ll still only have, say 2 children per couple—so p3=1⋅(0.8⋅p2)+5⋅(0.2⋅p2)=1.8⋅p2. Even if we neglect the fact that 44% of these children were not raised as Quiverfull to begin with and assume that only 20% of the total p3=1.8⋅p2 will be Quiverfull parents with 10 children per couple—the exponential explosion still drops from O(5n) to O(1.8n).
How do you define “p” and “n”?
pn is the Quiverfull population at the n’th generation.