Population Growth Calculator
Model population dynamics using exponential or logistic growth equations for ecology and demographic studies.
About This Calculator
🧮 Growth Models
P(t) = P₀ × e^(rt)Unlimited growth, J-shaped curve
P(t) = K / (1 + ((K-P₀)/P₀) × e^(-rt))Limited by carrying capacity, S-shaped curve
📊 Exponential vs Logistic
| Feature | Exponential | Logistic |
|---|---|---|
| Curve Shape | J-shaped | S-shaped (sigmoid) |
| Limit | None (infinite) | Carrying capacity (K) |
| Real-world Use | Short-term, abundant resources | Long-term, limited resources |
💡 Key Concepts
- r (Growth Rate): Birth rate minus death rate per capita
- K (Carrying Capacity): Maximum sustainable population
- Doubling Time: t₂ = ln(2)/r ≈ 0.693/r
- Rule of 70: Doubling time ≈ 70 / (r × 100)
❓ FAQ
Which model should I use?
Use exponential for short-term projections or populations with abundant resources. Use logistic for long-term projections or when resources are limited.
What's a typical growth rate?
Bacteria: r=0.3-2/hour. Insects: r=0.01-0.1/day. Mammals: r=0.001-0.05/year. Humans: r≈0.01/year globally.
🔗 Related Calculators
? Frequently Asked Questions
How accurate is this
This calculator uses standard formulas and provides accurate results for typical use cases. For professional or critical applications, always verify results with certified professionals or official sources.
Is this calculator free to use?
Yes, this Population Growth Calculator • Biology • Calculator is completely free to use with no registration required. You can use it as many times as needed without any limitations.
Can I use this on mobile devices?
Absolutely! This calculator is fully responsive and works perfectly on smartphones, tablets, and desktop computers.
How do I interpret the results?
The results are displayed clearly with appropriate units. Refer to the "About This Calculator" section for detailed information.