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Get Answers to all your Questions
5. If a population growing exponentially doubles in size in 3 years, what is the intrinsic rate of increase (r) of the population?
Answers (1)
A population grows exponentially when ample amounts of food resources are available to the individual. The exponential growth can be calculated by the following exponential growth equation:
Nt = No ert
Where,
Nt= Population density after time t
NO= Population density at time zero
r = Intrinsic rate of natural increase
e = Base of natural logarithms (2.71828)
Now, as per the question,
Present population density = x
Then,
Population density after two years = 2x
t = 3 years
Substituting these values in the formula, we get:
⇒ 2x = x e3r
⇒ 2 = e3r
Applying log on both sides:
⇒ log 2 = 3r log e
Therefore, the intrinsic rate of increase will be 0.2311.
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