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Question -

If a population growing exponentially double in size in 3 years, what is the intrinsic rate of increase (r) of the population?



Answer -

If adequate quantity of food resources are available to individuals in a population, it grows exponentially. The integral form of exponential growth equation can be used to estimate the exponential growth, which is as follows:

Nt┬а= No┬аert┬атАФтАФтАФтАФтАУequation (1)

Where, Nt┬аis the populationdensity after тАШtтАЩ time

No┬аis the population densityat time zero

e is the base of natural logarithm = 2.71828

r is the intrinsic rate of natural increase

Let the current population density be тАШxтАЩ

тИ┤ The population density after two years will be 2x and t givenis 3 years

Substituting these values in equation (1)

Therefore, the intrinsic rate of naturalincrease of the population is 0.2311

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