Population Growth Rate Calculator

Population Growth Rate Calculator: Exponential Growth Model

When resources are effectively unlimited, populations grow exponentially: each individual reproduces at the same constant rate, so growth compounds the same way interest does in a savings account. This calculator projects future population size under that classic exponential growth model.

The Formula

N = N0 × e(r × t)

Worked Example

A population of 1,000 individuals grows at 5% per year for 10 years.

N = 1,000 × e(0.05 × 10) = 1,648.72 individuals

How to Use This Calculator

  1. Enter the initial population size.
  2. Enter the annual growth rate as a percentage.
  3. Enter the number of years to project forward.
  4. Click Calculate to get the projected population.

Related Calculations

Compare against the Logistic Population Growth Calculator, which accounts for a carrying capacity limit that exponential growth ignores.