The Collaborative International Dictionary of English v.0.48:

Sparsim \Spar"sim\, adv. [L., fr. spargere to scatter.]
   Sparsely; scatteredly; here and there.
   [1913 Webster]

Bouvier's Law Dictionary, Revised 6th Ed (1856):

SPARSIM. This Latin adverb signifies scatteredly, here and there, in a
scattered manner, sparsedly, dispersedly. It is sometimes used in law; for
example, the plaintiff may recover the place wasted, not only where the
injury has been total, but where trees, growing sparsim in a close, are cut.
Bac. Ab. Waste, M; Brownl. 240; Co. Litt. 54, a; 4 Bouv. Inst. n. 3690.