SUBMIT ANSWER AS WRITTEN PYTHON CODE As always, a self contained ipynb solutions should be…

SUBMIT ANSWER AS WRITTEN PYTHON CODE

As always, a self contained ipynb solutions should be uploaded to Canvas along with a pdf copy. Each Question shall be clearly displayed inside the same notebook. Headers and formating will be graded

Note:

Use a modified Rickers Equation to answer the following questions about fish population.

Xn+1=G(1,0.1)Xner0(1-XnK)Xn+1=G(1,0.1)Xner0(1-XnK)

where G(1,0.1)G(1,0.1) is a noise variable with normal distribution centered at 1 and standard deviation of 0.1.

Each time step is another year

Until stated you can assume that K=10000,r0=0.3K=10000,r0=0.3

Question 1

Plot various(1000+) solutions on the same figure to illustrate how the noise can vary the solutions. You can assume that your starting fish population is 100 fish

Question 2

After 5 years what range of fish would you expect to have if you started with

  • 10 fish
  • 100 fish
  • 500 fish
  • 1,000 fish

Question 3

After 30 years, do you expect a larger distribution with higher growth rate or lower growth rate, you can assume r0?(0,1)r0?(0,1). Back this up with graphs and/or data.

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