Easton's Bible Dictionary: M. G. Easton, M.A., D.D.
The same Hebrew word is used also to denote the wilderness of Arabia, which in winter and early spring supplies good pasturage to the flocks of the nomad tribes than roam over it (1 Ki. 9:18).
The wilderness of Judah is the mountainous region along the western shore of the Dead Sea, where David fed his father's flocks (1 Sam. 17:28, 26:2). Thus in both of these instances the word denotes a country without settled inhabitants and without streams of water, but having good pasturage for cattle; a country of wandering tribes, as distinguished from that of a settled people (Isa. 35:1, 50:2; Jer. 4:11). Such, also, is the meaning of the word "wilderness" in Mt. 3:3, 15:33; Lk. 15:4.