The instantaneous growth rate of a population on a small iso

The instantaneous growth rate of a population on a small isolated island is 0.02 / year. The current population size is 800.

a. If the conditions remain constant, how big will the population size be in 30 years?

b. What is the value of lambda?

Solution

In 30 years, N_t = N₀ e ^rt

Here, Nt = population after 30 years

N0 = present population = 800

r= growth rate = 0.02 /year

t= 30

Nt = 800 * exp(0.02 *30) =1457.695

lambda = e ^r  = exp(0.02) =1.02