Calculate the maximum sustainable yield for a population whose carrying capacity (K) is 100,000 and whose per capita rate of growth (r) is 0.1.
Fill in the blank(s) with the appropriate word(s).
5000
Clarify Question
• What is the key concept addressed by the question?
o This question addresses maximum sustainable yield.
• What type of thinking is required?
o This question is asking you to apply your knowledge of the equation for determining the maximum sustainable yield.
Gather Content
• What do you already know about maximum sustainable yield?
o The maximum sustainable yield (MSY) is the largest number of individuals that can be removed without causing long-term decreases in the population. If the maximum sustainable yield is exceeded on a consistent basis, overexploitation is occurring.
o The greatest population growth, and thus the maximum sustainable yield, occurs at the midpoint of the logistic curve, at K/2.
o MSY can thus be estimated as MSY = rK / 2.
Choose Answer
• Given what you now know, what information and/or problem-solving approach is most likely to produce the correct answer?
o Since MSY = rK / 2, with our values that is (0.1 x 100,000) / 2 = 5000.
Reflect on Process
• Did your problem-solving process lead you to the correct answer? If not, where did the process break down or lead you astray? How can you revise your approach to produce a more desirable result?
o The question required you to apply your knowledge of the equation for maximum sustainable yield.
o Did you recall that the equation for maximum sustainable yield is MSY = rK / 2?
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