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How is the earth's current population so low?

At the current speed, the earth's population doubles every 40 years. Obviously our population doesn't reflect that ratio in the long term. Even for people who believe in a young earth, it's a problem, because 2*2^(6000/40) equals 2854495385411919762116571938898990272765493248, and that's not even close to our current population.

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Did you account for deaths?

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Yes actually. As I said, at the current rate, the earth's population doubles every 40 years. That's including deaths.
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You do know that population growth is an e curve, not a geometric one?
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Well, yes. But even reducing the rate at which the population doubles, you'd have to be unusually conservative to get our population.
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I am not sure I catch your point. Are you saying the
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Actually, I posted the comment before you gave the link. Sorry for the miscommunication.
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Err, seconds after you gave the link. So it didn't show up.
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Let me know if I can help explain it. The article seems complete.
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It's not!!

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Stick around for a few more thousand years to find out.