Population Growth Calculator
Model exponential and logistic population growth over time based on initial population, growth rate, and carrying capacity.
Population Growth Calculator
Model exponential and logistic population growth over time
Parameters
Results Summary
Initial Pop.
1.00K
Final Pop.
0
Total Growth
-1000
Doubling Time
0.0 yrs
Population Over Time
How Population Growth is Calculated
The Population Growth Calculator models two fundamental types of growth seen in biological and ecological systems: exponential and logistic growth. This tool allows you to visualize how a population changes over time based on different parameters.
Exponential Growth
This model assumes unlimited resources. The population grows at a rate proportional to its current size. The formula is:
P(t) = P₀ * e^(rt)
This results in a J-shaped curve, representing unrestricted, rapid growth. It's often seen in new environments or microbial cultures.
Logistic Growth
This model is more realistic as it incorporates environmental limits through a 'carrying capacity' (K). As the population approaches K, its growth slows down. The formula is:
P(t) = K / (1 + ((K - P₀) / P₀) * e^(-rt))
This results in an S-shaped (sigmoid) curve, where the population stabilizes around the carrying capacity.