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It is estimated that the growth rate of the fin whale population ( per year ) is r x ( 1 - x K )
It is estimated that the growth rate of the fin whale population per year
is where is the intrinsic growth rate, is
the maximum sustainable population, and is the current population, now
around It is further estimated that the number of whales harvested
per year is about where is the level of fishing effort in boat
days. Given a fixed level of effort, population will eventually stabilize at the
level where growth rate equals harvest rate.
a What level of effort will maximize the sustained harvest rate? Model as
a onevariable optimization problem using the fivestep method.
b Examine the sensitivity to the intrinsic growth rate. Consider both the
optimum level of effort and the resulting population level.
c Examine the sensitivity to the maximum sustainable population. Con
sider both the optimum level of effort and the resulting population level.
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