Logistic Growth Calculator
🌍 Ecology. Use the Logistic growth formula to find growth per year, growth rate r, population n, carrying capacity k: pick the value you want, type the others, and the answer updates as you go.
K = the carrying capacity: growth slows as the population fills its habitat.
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| Growth per year | per year |
| Growth rate r | per year |
| Population N | no unit |
| Carrying capacity K | no unit |
Worked example
Find the growth per year when Growth rate r = 0.2 per year, Population N = 500, Carrying capacity K = 1000.
Using dN/dt = rN(1 - N/K): Growth per year = 50 per year.
Frequently asked questions
What is the formula for Logistic growth?
dN/dt = rN(1 - N/K). K = the carrying capacity: growth slows as the population fills its habitat.
What do the letters stand for, and what units are used?
Growth per year in per year, Growth rate r in per year, Population N, Carrying capacity K.
How do you calculate growth per year?
Put the values into dN/dt = rN(1 - N/K). For example, with Growth rate r = 0.2 per year, Population N = 500, Carrying capacity K = 1000, growth per year = 50 per year.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (growth per year, growth rate r, population n, carrying capacity k) and fill in the others: it rearranges the formula for you.
