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Exponential population growth models how a population increases when resources are unlimited. P(t) = P₀ × e^(rt). Real populations are limited by carrying capacity.
Trin-for-trin guide
- 1P(t) = P₀ × e^(rt)
- 2Doubling time T₂ = ln(2)/r ≈ 0.693/r
- 3r = ln(Pt/P₀)/t
- 4Negative r = population decline
Løste eksempler
Input
P₀=1,000 · r=0.05/yr · t=20yr
Resultat
P(20) = 2,718
1000×e^1.0=2718
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