Source : Webster's Revised Unabridged Dictionary (1913)

Spareness \Spare"ness\, n. [Cf. AS. sp[ae]rnis frugality.]
   The quality or state of being lean or thin; leanness.

Source : WordNet®

spareness
     n : the property of being scanty or scattered; lacking denseness
         [syn: {sparseness}, {sparsity}]