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Modeling Scenario

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1-127-FishHarvesting-ModelingScenario

Author(s): William Mitchell

Macalaster College, St. Paul MN USA

Keywords: Management Of Data optimal control fisheries logistic harvesting maximum sustainable yield

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Abstract

Resource Image We offer students a harvesting model for operating a fishery over a 25 year horizon and ask them to write a report on optimal harvesting policy with their analyses for fishing industry experts (not necessarily mathematicians).

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

You have been hired to manage a fishery for the next twenty-five years. This means you have to choose the rate of harvesting of the fish. After carefully studying the previous behavior of the fishery, you write down a logistic growth model for the number of fish in the population at time t.

Your goal is to balance the desire to harvest lots of fish with the imperative to maintain a viable fish population for the future. One way to combine and mathematize these goals is to try to maximize an objective function.

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Authors

Author(s): William Mitchell

Macalaster College, St. Paul MN USA

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