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Population Growth

Exponential population growth P(t)=P0e^rt

🧬Population Growth Calculator

0.05 = 5%/yr

Exponential population growth models how a population increases when resources are unlimited. P(t) = P₀ × e^(rt). Real populations are limited by carrying capacity.

  1. 1P(t) = P₀ × e^(rt)
  2. 2Doubling time T₂ = ln(2)/r ≈ 0.693/r
  3. 3r = ln(Pt/P₀)/t
  4. 4Negative r = population decline
P₀=1,000 · r=0.05/yr · t=20yr=P(20) = 2,7181000×e^1.0=2718

Fun Fact

Global human population growth rate peaked at ~2.1% in 1968. At that rate, population would double every 33 years.

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