raffael
As long as there continues to be some means of profit from the resource (in forestry, replanted pine tree farms for wood pulp where formerly redwood was harvested; in fisheries, aquaculture or harvest of other species) there is little or no incentive for the private firm to preserve the original resource.
Here, with menhaden, as long as the private firm can continue to harvest something profitable they will have no incentive not to overfish the menhaden till the stock collapses.
The reason is simple; the resource that is publicly beneficial is live menhaden, filtering the water by consuming algae. The resource that is privately beneficial is dead menhaden, pressed for oil and ground for animal feed. This is why public protection is sometimes necessary; because the public good cannot always be made to coincide with private profitability.
2. Fish farming is unlikely to be the answer for the simple reason that farm raised fish are not fed a diet consisting mostly of algae (the primary source of the sought after omega-3 fatty acids). Farm raised fish are, as a result, lower in these beneficial fats than their wild counterparts.