To furnish with an inadequate supply, short ration, etc.
The definition of sparse is a thinly spread or meager amount or supply.
So as to be thin:
Find another word for balding. In this page you can discover 11 synonyms, antonyms, idiomatic expressions, and related words for balding, like: scant, sparse, thin, thinning, tonsured, blond, bespectacled, portly, paunchy, middle-aged and beard.