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Worksheet 1 Instructions: Calculate the answers for the following-(Answered)

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Please use the attached MS Word document in order to answer the questions and complete the required calculations.


Worksheet 1

 

Instructions: Calculate the answers for the following questions and

 

answer them below. Be sure to show your math. If you?d like to do this

 

Worksheet in Excel rather than in Word, you are welcome to do that

 

and attach it instead. Each question is worth 10 points, 5 for the

 

answer itself and 5 for showing/explaining your work. Partial credit will

 

be given where appropriate.

 

1. Given that a deer population of 50 animals is increasing at a rate

 

r of 0.4, how many deer will be added to the population in the

 

first year (at the end of N0)? Hint: The Malthusian exponential

 

growth model is Nt = N0 + rN0, where r represents the rate of

 

change in population size.

 

2. Using the Malthusian exponential growth model from question 1,

 

what will the same deer population size be in another year, at

 

the end of N1. Hint: N0 is no longer 50. You will need to calculate

 

the new N0 accounting for the number of individuals added last

 

year.

 

3. What will the population be in 2 years, at the end of N2?

 

4. If N0=50 and r=0.2, what will the population size be after 5 time

 

periods?

 

5. You can see if you want to predict N into the far future, using the

 

Malthusian exponential equation will be time consuming. For

 

predicting N into the future, we tend to prefer the continuous

 

growth model where Nt=N0*ert. Using this equation, calculate the

 

predicted population size after 5 time periods given that N0=50

 

and r=-0.2. Hint: e is a mathematical constant.

 

6. Given that r=0.023 per year, what will the population size be in

 

2010 if N0=1370 in 2000?

 

7. Recall from the text that the time it takes for a population to

 

double in size is calculated by the following equation: Doubling

 

Time = 0.693/r. Using this equation, how many years will it take

 

for the original population of deer (N0=50, r=0.40) to double?

 

8. A population with an r=-0.2 is decreasing. According to the

 

model, will such a population ever reach zero? Is this realistic?

 

Explain your answer.

 

9. As a land or wildlife manager, when might these types of

 

population change predictions be useful? Explain your answer.

 

10. What was the most interesting thing you have learned so far?

 

Why is the most interesting to you?

 


 

 

Paper#9256857 | Written in 27-Jul-2016

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