To calculate the carrying capacity of a population, we can start from the differential form of the logistic equation:
dN/dt = r × N × (1 - N/K)
where:
r – Intrinsic rate of change;
dN/dt – Change in the number of individuals;
N – Number of individuals; and
K – Carrying capacity.
By defining the rate of change when the population is N as Cₚ, we can compute the carrying capacity as:
K = N/(1 - (Cₚ/r × N))
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