How do you determine carrying capacity?

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Answer 1 · 2016-06-15T19:14:26

$(dN)/dt = rN((1-N)/K)$ is the formula for determining the change in population size.

Legend for the above formula:

$(dN)/dt$ = change in population size, $r$ = intrinsic rate of increase,

$N$ = population size; $K$ = carrying capacity.

To solve for carrying capacity, isolate for $K$ :

$K = [rN((1-N))]/[(dN)/dt]$

There is maximal population growth at carrying capacity thus:

$N = K/2$

Your formula would give you the carrying capacity:

$K = (r(K/2)(1-K/2))/[(dN)/dt]$