Ecology/ Population Growth Population: A. In 1800, sheep were introduced to the

Question

Ecology/ Population Growth Population:

A. In 1800, sheep were introduced to the island of Tasmania. After a period of exponential growth their population has fluctuated around 2 million individuals. After an island-wide hunt of the sheep, the population was reduced to 1 million. If the instantaneous rate of population increase for this year is 38,500 individuals, what is the sheep’s intrinsic rate of natural increase?

B.  Eventually the population of sheep regrows to 1.8 million. What is the sheep’s current instantaneous rate of population increase?  

Explanation / Answer

A) intrinsic rate

d = instantaneous per capita birth rate, b, minus the instantaneous per capita death rate divided by time

In this case

b, = 35000, the death rate is not specified ,

Time = 1 year

B) dN/dT = rN; alternatively

dN/dT = (Nt-N0)/(t-t0)

Here, dN/dT = rate of increase in population.

dN/dT = (1.8-1)/(t-t0)

Kindly provide the following for completing the answer -

In question b ; in place of eventually, a specific time 1 or 2 or any number of years ; in question a the birth rate is provided, kindly provide with the death rate. Thank you.

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