×

Hello! Socratic's Terms of Service and Privacy Policy have been updated, which will be automatically effective on October 6, 2018. Please contact hello@socratic.com with any questions.

How do you determine carrying capacity?

1 Answer
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]#