PROSPECT HARBOR, Me. — The women in their smudged aprons here at the sardine cannery work together in mesmerizing synchronization. Their hands flying, they fill the empty tins that clatter along the conveyer belt, packing in pieces of cut herring like, well, so many sardines. On April 18, the clanking will cease. The bells and buzzers that regulate the pace of packing will fall silent. The old plant, the last sardine cannery in the United States, is shutting down. Once a thriving national industry — and the backdrop of John Steinbeck’s gritty “Cannery Row” — sardine canneries have been dwindling...