Population Growth Calculator
Calculate population growth using various models including exponential and logistic growth.
How to Use This Calculator
- Select the growth model (Exponential or Logistic)
- Enter initial population size (N₀)
- Input growth rate (r) and time period (t)
- For logistic growth, add carrying capacity (K)
- Click Calculate to view population projections
Growth Models
- Exponential Growth: N(t) = N₀eʳᵗ
- Logistic Growth: N(t) = K/(1 + ((K-N₀)/N₀)e⁻ʳᵗ)
- Discrete Growth: N(t+1) = N(t) + rN(t)
Key Parameters
- N₀: Initial population size
- r: Growth rate (per unit time)
- t: Time period
- K: Carrying capacity (logistic model)
- e: Euler's number (≈ 2.71828)
Applications
- Population Ecology
- Conservation Biology
- Microbial Growth
- Wildlife Management
- Epidemiology
Important Considerations
- Environmental factors affect growth
- Resource limitations impact populations
- Growth rates may vary over time
- Consider density-dependent factors
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