Scarceness

noun

1. The state or condition of being scarce.
2. Deficiency; dearth.
3. Bareness; infrequency of occurrence; uncommonness.
4. The quality or condition of being scarce; smallness of quantity in proportion to the wants or demands; deficiency; lack of plenty; short supply; penury.

   "a scarcity of grain; a great scarcity of beauties"

5. The property of being scarce.