Neco Model Questions Vol1 2018 Biology Question 34

Practice objective / multiple choice question 34 from the 2018 Neco Model Questions Vol1 Biology examination.

Neco Model Questions Vol1 2018 Biology Objective / Multiple Choice Hard Difficulty
Question 34 NECO_MODEL_QUESTIONS_VOL1 • 2018 • BIOLOGY • objective

A fish population in a lake follows the logistic growth model\n\[\n\frac{dN}{dt}=rN\left(1-\frac{N}{K}\right)\n\]\nwhere \(r = 0.4\ \text{year}^{-1}\) and the carrying capacity \(K = 8000\) individuals. The current population size is \(N_0 = 2000\).\n\n(a) Calculate the maximum sustainable yield (MSY) and the corresponding equilibrium population size when the harvest rate equals the MSY.\n\n(b) If a constant harvest of \(H = 600\) fish per year is imposed, determine the equilibrium population size(s) and state whether the population will increase, decrease, or remain stable from its present size.

Answer Options

A. MSY = 640 fish yr⁻¹; equilibrium at MSY = 3200 fish. With H = 600 fish yr⁻¹ the equilibria are 1200 and 6800 fish; the stable one is 6800, so the population will increase toward 6800.
B. MSY = 800 fish yr⁻¹; equilibrium at MSY = 4000 fish. With H = 600 fish yr⁻¹ the equilibria are 1000 and 7000 fish; the stable one is 1000, so the population will decrease toward 1000.
Correct Answer C. MSY = 800 fish yr⁻¹; equilibrium at MSY = 4000 fish. With H = 600 fish yr⁻¹ the equilibria are 2000 and 6000 fish; the stable one is 6000, so the population will increase toward 6000.
D. MSY = 1000 fish yr⁻¹; equilibrium at MSY = 5000 fish. With H = 600 fish yr⁻¹ the equilibria are 2000 and 6000 fish; the stable one is 2000, so the population will decrease toward 2000.
Correct Answer
C
Correct Option:
MSY = 800 fish yr⁻¹; equilibrium at MSY = 4000 fish. With H = 600 fish yr⁻¹ the equilibria are 2000 and 6000 fish; the stable one is 6000, so the population will increase toward 6000.

About This Question

This is Neco Model Questions Vol1 2018 Biology Question 34. It is one of the objective questions from the 2018 Neco Model Questions Vol1 Biology examination.

Difficulty level: Hard .

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