How do you determine carrying capacity?

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Jun 15, 2016

Answer:

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

Explanation:

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]#

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