Carrying Capacity Calculator
Estimate the carrying capacity (K) of an environment — the maximum population a habitat can sustain. Enter the total resources available and the resources each individual needs, and this calculator divides one by the other to find K.
Formula
K = Total Resources ÷ Resources per Individual
- Carrying capacity (K) is the largest population a habitat can support indefinitely with its resources.
- K = total available resources ÷ the resources each individual requires.
- The limiting resource (food, water, space, or nutrients) usually sets K.
- Real populations fluctuate around K and can temporarily overshoot it, then crash.
- In logistic growth, population growth slows as numbers approach K and stops at K.
10,000 units, 100 per individual
Inputs
- Available Resources: 10000 units
- Resources per Individual: 100 units/individual
K = 10,000 ÷ 100 = 100 individuals. The habitat can sustain about 100 individuals before resources run short.
Frequently asked questions
What is carrying capacity?
It's the maximum population size an environment can support over the long term given its available resources, often written as K in ecology.
What determines carrying capacity?
The most limiting resource — food, water, shelter, or space. Whichever runs out first caps the sustainable population.
Can a population exceed K?
Briefly, yes. An overshoot depletes resources and is typically followed by a population decline back toward (or below) K.
How does K relate to logistic growth?
In the logistic model, growth is fast when the population is small and slows as it nears K, leveling off once the population reaches carrying capacity.