Is this another case of statistics challenging intuition, like Monty Hall, or is there merit to the idea that if humanity really reached much further out than this, we shouldn't be here right now?
Carter Catstrophe
Ian Young
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Nathaniel Nelson
Sorry, misspelled the OP trying while trying to phrase my opening question. It should of course read Carter *Catastrophe
Kayden Evans
No, Its Just a graph
Chase Kelly
[math]
\\ \text{Continuous compounding}
\\ \displaystyle P(t)=P_{0} \, e^{rt}
\\ \text{ } P_0 \; \, \text{initial value}
\\ \text{ } r \quad \text{rate of growth}
\\ \text{ } t \quad \text{time}
\\\\
P(t_2) = 2P_0 \Rightarrow 2P_0 = P_{0} \, e^{rt_2} \\
2 = e^{rt_2} \\
e^{ln(2)} = e^{rt_2} \\
ln(2) = rt_2 \\
t_2 = \frac{ln(2)}{r} \approx \frac{70\%}{r\%}
\\
P(t_{10}) = 10P_0 \Rightarrow 10P_0 = P_{0} \, e^{rt_{10}} \\
10 = e^{rt_{10}} \\
e^{ln(10)} = e^{rt_{10}} \\
ln(10) = rt_{10} \\
t_{10} = \frac{ln(10)}{r} \approx \frac{230\%}{r\%}
[/math]
Tyler Brown
Justin Richardson
Snap, well... is antinatalism the answer?
Lincoln Hall
Somebody is going to choose it, either we do or nature does it for us.
Hunter Green
Maybe she is, what with the sperm-count drop. Not sure if that's verifiable or /pol/-science, though.
Jace Wilson
My hypothesis for reduced sperm counts (as well as lower testosterone levels) in developed countries is due to women's birth control increasing the amount of estrogen in the water. Other chemicals like BPA may also have an impact here.
Cameron Ward
No, at some point we just exceed the environment's carrying capacity and the population gradually settles around an equilibrium. Assuming other factors don't intercede first.