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Exponential Population Growth — result sheet
Project a population with constant per-capita growth rate.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: N = N0 x e^(r x t); doubling = ln2/r.
Unlimited-resources growth compounds continuously. Doubling time is shown when the rate is positive; carrying capacity needs the logistic model instead.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Initial population — minimum 0; maximum 1000000000000
- Growth rate — %/period; minimum -100; maximum 100
- Periods — minimum 0; maximum 100000
Worked example
| Input | Value |
|---|---|
| Initial population | 1000 |
| Growth rate | 5 |
| Periods | 10 |
1648.72; doubling every 13.86 periods.
Assumptions and limits
- Constant rate; no migration or density dependence.
- Continuous compounding; overflow rejected.
- Counts need not be whole in projection.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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