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Originally Posted by MathGeek
In the limit that the coupling between the marsh and lake were zero, you are right.
But think of the analogy with pasture rotation of cattle. Restricting access part of the time leads to more beef per acre than allowing complete access all the time.
Could it be that reducing the feeding pressure of finfish on the bait for part of the time allows the system to produce a larger total quantity of forage and the finfish get fatter because the bait has a chance to grow up before getting eaten?
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You are overthinking this. If you want to produce bigger deer, bigger fish, bigger pigs, you feed them more. It's that simple.