Carrying Capacity Calculator

Formula

The formula to calculate the Carrying Capacity (K) is:

\[ K = r \cdot N \cdot (1 - N) / CP \]

Where:

\(K\) is the carrying capacity
\(r\) is the rate of population increase
\(N\) is the population size
\(CP\) is the change in population size

Carrying Capacity Definition

A carrying capacity is defined as a constant that explains how a population grows within a certain area. It represents the maximum population size that an environment can sustain indefinitely, given the available resources such as food, habitat, water, and other necessities.

Example Calculation

Let's assume the following values:

Rate of Population Increase (r) = 0.1
Population Size (N) = 1000
Change in Population Size (CP) = 50

Using the formula to calculate the Carrying Capacity (K):

\[ K = \frac{0.1 \cdot 1000 \cdot (1 - 1000)}{50} = \frac{0.1 \cdot 1000 \cdot (-999)}{50} = -1998 \]

The Carrying Capacity (K) is -1998, which indicates that the population size and change in population size values need to be reconsidered for a meaningful result.