Which preposition to use with sparse

of Occurrences 2%

"I'll warm up the kohlrabi, Loo." Mrs. Hassiebrock, in the green black of a cotton umbrella and as sparse of frame, moved around to the gas-range, scraping a match and dragging a pot over the blue flame.

on Occurrences 1%

All political divisions aside, there is no reason in the world why population should be dense on the west bank of the Detroit River and sparse on the east; why people should teem to suffocation to the south of the St. Lawrence and not to the north.

Which preposition to use with  sparse