Population Growth Calculator (Exponential & Logistic)

Project population size with exponential or logistic growth; doubling time from growth rate.

Results

Exponential N(t)—
Logistic N(t)—
Doubling time—

How to use the Population Growth Calculator

  1. Enter or select: Initial population N₀, Growth rate r (per time unit), Time.
  2. Fill in what you know of: Carrying capacity K (logistic) — leave the unknown empty.
  3. The results (Exponential N(t), Logistic N(t), Doubling time) are calculated instantly as you type.
  4. Use “Copy link” to share the calculation with the same input values.

Formula

  • Exponential: N = N₀e^(rt)
  • Logistic: N = K / (1 + ((K − N₀)/N₀)e^(−rt))
  • t_d = ln2 / r