<P> k (\ displaystyle k) = relative growth rate coefficient </P> <P> K (\ displaystyle K) = carrying capacity of the population; defined by ecologists as the maximum population size that a particular environment can sustain . </P> <P> This separable differential equation may be solved explicitly . </P> <P> P (t) = K 1 + A e − k t (\ displaystyle P (t) = (\ frac (K) (1 + Ae ^ (- kt)))); where A = K − P 0 P 0 (\ displaystyle A = (\ frac (K - P_ (0)) (P_ (0)))) and P 0 = (\ displaystyle P_ (0) =) the initial population at time 0 . </P>

Which of the following was an impact of increased western population