Concept explainers
Spawner-Recruit Model In fish management it is important to know the relationship between the abundance of the spawners (also called the parent stock) and the abundance of the recruits—that is, those hatchlings surviving to maturity. According to the Ricker model, the number of recruits R as a function of the number of spawners P has the form
for some positive constants A and B. This model describes well a phenomenon observed in some fisheries: A large spawning group can actually lead to a small group of recruits.
In a study of the sockeye salmon, it was determined that
a. Make a graph of R versus P for the sockeye salmon. (Assume there are at most 3000 spawners.)
b. Find the maximum number of salmon recruits possible.
c. If the number of recruits R is greater than the number of spawners P, then the difference
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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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