Suppose the biological growth for a fishery species is given by the equation F (X) = aX − bX2, where X is the biomass of the fish stock, and a and b are ecological parameters, assumed to be constant. (a) Define the concept ‘maximum sustainable yield’, and illustrate its location graphically for the provided biomass function, and derive its analytical value. (b) Again sketch the growth function F(X). Now choose a level of harvest and corresponding steady-state size of the population. Briefly discuss how this chosen level of the harvest will impact the stock of the fish species.

Case Studies In Health Information Management
3rd Edition
ISBN:9781337676908
Author:SCHNERING
Publisher:SCHNERING
Chapter6: Leadership
Section: Chapter Questions
Problem 6.44.1C
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Question 1:

Suppose the biological growth for a fishery species is given by the equation F (X) = aX − bX2, where X is the biomass of the fish stock, and a and b are ecological parameters, assumed to be constant.

(a) Define the concept ‘maximum sustainable yield’, and illustrate its location graphically for the provided biomass function, and derive its analytical value.

(b) Again sketch the growth function F(X). Now choose a level of harvest and corresponding steady-state size of the population. Briefly discuss how this chosen level of the harvest will impact the stock of the fish species.

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