Answer:
The population would grow to 63,667 deer in a year, and the growth rate would decrease the following year.
Explanation:
Sika deer population : starting at 26000 in 2005
stabilized at 58000 between 2012 and 2014
rmax = 0.57
The population size of Sika deer be one year after the carrying capacity increased to 70000 as a result of deforestation
carrying capacity (k) = 70000
population size ( N ) = 58000
max growth(rmax) = 0.57
To determine the growth
dN/dt = rmax N [ (K-N) / K ] ---------- (1)
insert the given value into the formula above
dN / dt = 0.57 * 58000 [ 12000 / 70000 ]
= 33060 [12000 / 70000 ]
= 5667
The increase in population = 5667 + 58000 = 63667