The physical impracticability of such an arrangement has been conclusively shown, after Gramberg, by Graf (Merx, Archiv, i. p. 83).  The 4 x 12 or the substituted 13+10+13+12 cities, of which in spite of Numbers xxxv. 8 for the most part four belong to each of the twelve tribes, are already sufficient to suggest a suspicion of artificial construction; but the regulation that a rectangular territory of two thousand ells square should be measured off as pasture for the Levites around each city (which at the same time is itself regarded only as a point; Numbers xxxv. 4) might, to speak with Graf, be very well carried out perhaps in a South Russian steppe or in newly founded townships in the western States of America, but not in a mountainous country like Palestine, where territory that can be thus geometrically portioned off does not exist, and where it is by no means left to arbitrary legal enactments to determine what pieces of ground are adapted for pasturage and what for tillage and gardening; there, too, the cities were already in existence, the land was already under cultivation, as the Israelites slowly conquered it in the course of centuries.  Besides, from the time of Joshua there is not a historical trace of the existence of the Levitical cities.  Quite a number of them were in the days of the judges and down to the early monarchy still in the hands of the Canaanites,—­ Gibeon, Shechem, Gezer, Taanach; some perhaps may even have so continued permanently.  Those on the other hand which passed into the possession of the Israelites at no time belonged to the Levites.  Shechem, Hebron, Ramoth, were the capital cities of Ephraim, Judah, and Gilead; and Gibeon, Gezer, Heshbon were in like manner important but by no means ecclesiastical towns.  In the Deuteronomic period the Levites were scattered throughout Judah in such a manner that each locality had its own Levites or Levite; nowhere did they live separated from the rest of the world in compact masses together, for they made their living by sacrificing for others, and without a community they could not exercise their calling.  Some indeed possessed land and heritage; such were at an earlier period the Silonic family at Gibeath-Phineas, Amaziah at Bethel, and Abiathar at Anathoth, and at a later period Jeremiah, also at Anathoth.  But Anathoth (for example) was not on that account a priestly city in the sense of Joshua xxi.; Jeremiah had his holding there as a citizen and not as a priest, and he shared not with the priests but with the people (xxxvii. 12).  As a tribe Levi was distinguished from the other tribes precisely by holding no land, and its members joined themselves to the settled citizens and peasants, for the most part as dependent inmates (Deuteronomy x. 9, xviii. 1).