Population Growth Calculator
Model continuous population growth using P(t) = P₀·e^(rt). Enter starting population, growth rate and years to see final population, doubling time and a growth chart.
How to use this tool
- Enter initial population, annual growth rate and years in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your final population and the full breakdown beneath it.
Continuous population growth is modelled by P(t) = P₀ · e^(rt), where P₀ is the starting population, r the continuous growth rate, and t time in years. The doubling time is ln(2)/r.
Frequently asked questions
- What is the difference between continuous and annual compounding?
- Continuous uses e^(rt); annual uses (1+r)^t. For small r they are close, but continuous growth is slightly faster and is the standard in population biology.
- Can growth rates be negative?
- Yes — a negative rate models population decline or any shrinking quantity.