Population Growth Rate Calculator
To precisely calculate human population grown rate, enter Initial Population (P₁), Final Population (P₂), and Time Period in years.
The calculator shows both arithmetic and exponential growth rates (total change, annual growth rates, and population doubling time).
- Initial Population (P₀): 500
- Final Population (Pₜ): 1,000
- Time Period (t): 10 years
r = (ln(1000 / 500) / 10) × 100 = (ln(2) / 10) × 100 ≈ 6.93% per year
Population Growth Rate Calculator
| Year | Initial Population (P1) | Population (P2) | Growth Rate (r%) | Explanation |
|---|---|---|---|---|
| 2020 | 1,000 | 1,200 | 20% | ((1200 – 1000) / 1000) × 100 = 20% |
| 2021 | 1,500 | 1,800 | 20% | ((1800 – 1500) / 1500) × 100 = 20% |
| 2022 | 2,000 | 2,400 | 20% | ((2400 – 2000) / 2000) × 100 = 20% |
| 2023 | 2,500 | 3,000 | 20% | ((3000 – 2500) / 2500) × 100 = 20% |
| 2024 | 3,500 | 4,200 | 20% | ((4200 – 3500) / 3500) × 100 = 20% |
| 2025 | 4,000 | 5,200 | 30% | ((5200 – 4000) / 4000) × 100 = 30% |
| 2026 | 5,000 | 6,500 | 30% | ((6500 – 5000) / 5000) × 100 = 30% |
| 2027 | 6,000 | 8,100 | 35% | ((8100 – 6000) / 6000) × 100 = 35% |
| 2028 | 7,000 | 9,800 | 40% | ((9800 – 7000) / 7000) × 100 = 40% |
| 2029 | 8,500 | 11,300 | 33.33% | ((11300 – 8500) / 8500) × 100 = 33.33% |
Population Growth Rate Formula
Growth Rate = [(P₂ - P₁) / P₁] × 100%
Annual Growth Rate = Growth Rate / Time
Exponential Rate = (P₂/P₁)^(1/t) - 1Where:
- P₁: Initial population
- P₂: Final population
- t: Time period in years
- Initial Population (P₀): 1,000
- Final Population (Pₜ): 1,200
- Time Period (t): 5 years
r = (ln(1200 / 1000) / 5) × 100 = (ln(1.2) / 5) × 100 ≈ 3.64% per year
How to Calculate Population Growth Rate?
To calculate population growth rate, subtract initial population from final population, divide by initial population, and multiply by 100 for percentage. For annual rate, divide by the number of years.
For example, if population grows from 1000 to 1200 in 2 years: [(1200 – 1000) / 1000] × 100 = 20%, annual rate = 10%.
For a city growing from 50,000 to 75,000 in 5 years, growth rate is [(75,000 – 50,000) / 50,000] × 100 = 50%, with an annual rate of 10% and exponential rate of 8.45%.
A country’s population increases from 1 million to 1.5 million over 10 years, showing a total growth of 50%, annual rate of 5%, and exponential growth rate of 4.14%.
A region expands from 200,000 to 350,000 in 15 years, calculating to 75% total growth, 5% annual rate, and 3.78% exponential growth rate.
What is Population Growth Rate?
Population Growth Rate measures the change in population size over time, expressed as a percentage. It accounts for all factors affecting population change including births, deaths, immigration, and emigration.