The population size of Sika deer one year after the carrying capacity increased to 70000 as a result of deforestation is; 63667 deer
We are given the following about the Sika deer population;
Initial Population in 2005 = 26000
Stabilized Population between 2012 and 2014 = 58000
r_max for population = 0.57
Now, we want to find the population size of Sika deer one year after the carrying capacity increased to 70000 as a result of deforestation
Thus;
carrying capacity; k = 70000
population size; N = 58000
max growth rate; r_max = 0.57
Formula for the growth is;
dN/dt = (r_max × N)[(K - N)/K]
Plugging in the relevant values gives;
dN/dt = 0.57 × 58000[12000/70000]
dN/dt = 5667
Thus;
Increase in population = 5667 + 58000
⇒ 63667
Read more about growth rate at; brainly.com/question/20115298
