Question

3) Suppose that a population of 50 deer lives on the UCONN campus. If these deer have an intrinsic growth rate (r) of 0.65 individuals/year, and if their population grew exponentially, how many years would it take the population to double in size? Show your work and report your answer to 2 decimal places.

4) Suppose a population of deer is experiencing density-dependent growth. If the carrying capacity is 100 deer and r = 0.25 individuals/month, how many deer will be added to the population during the next month when the population size is 20? Show your work and report your answer to 2 decimal places.

5) Suppose a population of deer is experiencing density-dependent growth. If the carrying capacity is 120 deer and r = 0.10 individuals/month, what is the maximum possible population growth rate, expressed as number of deer added per month, of the population? Show your work and report your answer to 2 decimal places.

Answer 1

Answer 4:

The population in question is under density dependent regulation, that means, it is following a logistic growth. Carrying capacity, K = 100, and initial population size is 20. The growth rate is 0.25 individual/month.

We can determine the number of individuals added using the logistic growth equation:

Answer 5:

We are given that K = 120, r = 0.10 individuals/month.we need to find the maximum number of individuals that can be added to the population.

Maximum growth occurs when N = K/2. This means,

N = 120/2 or 60.

Using the logistic equation as in answer 3 above, we get, dN/dt

= 0.10 × 60 { (120-60) /120}

= 0.10 × 60 × 1/2

= 3

Thus, a maximum of three individuals can be added in a month.