When taken to extreme, the pieces could also rise.

Imagine that meat demand drops gradually over a few decades, and meat production adapts to it. As a result, the whole industry begins to lose the economies of scale. After a century of this kind of development, meat is produced by a handful of small farms, where the operational costs per mass unit of meat produced are very high. If that ever happens, meat would become a special ingredient most people don’t want. Those few who still do want it, are willing to pay absurd prices for it.