MSY refers to the maximum sustainable yield stock X msy refers to the level of s

Question

MSY refers to the maximum sustainable yield stock

Xmsy refers to the level of stock corresponding to the highest growth rate

No need for variables or specific numbers, it is all theorical and you can anwser with equations/formulas

PLEASE ANSWER THE FOLLOWING QUESTIONS AND LABEL WHICH ONES YOU ARE ANSWERING

(1) Suppose that biological mechanics for a fishery are given by the equation F(X) aX-X2 where F (A) is the net growth function, X is the biomass, and a is biological parameter assumed to be constant. (a) What is the MSY biomass? 5 points) (b) What is the biological equilibrium of the fishery when there is no harvesting? (5 Points (c) Suppose harvesting of this species is always equal to H tons per instant of time where H is less than the MISY biomass. Determine the bionomic equilibrium and explain how steady-state equilibrium will be obtained. Show your analysis graphically starting both from the biological equilibrium and from a point to the left of the MSY biomass. (5 points) (d) Assume that the harvest is instead given by a function: H EX where E is effort and X is biomass (stock). Assuming that price is constant (and hence normalized to 1), derive the function that relates harvests to effort(3 points) (e) Assuming that there is no cost involved in harvesting (i) determine the levels of effort, harvest, and remaining stock under private property (3 points (ii) determine the levels of effort, harvest, and remaining stock under open access (3 Points (f) Suppose the total cost of harvest is given by a function TC cE where c is a constant and E is effort (i) determine the levels of effort, harvest, and remaining stock under private property (5 Points) ii) determine the levels of effort, harvest, and remaining stock under open access (3 Points (g) What policy implications can you draw from your results in c and f above rc garding a possible way of conserving fish population, regardless of the property right regimes (5 Points)

Explanation / Answer

1. The “Optimum Sustainable Yield” or MSY could be the largest amount of fish you can remove of the water, while making enough to ensure sustainability and make sure you can find enough fish in the water to create new generations. BMSY is the biomass of total weight of fish that may support harvest of the most sustainable yield. The MSY of fish stock is variable over time due to changes in productivity and environmental factors.

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