In 1864 M. Bertrand published in the 'Revue archéologique' a small map of France, showing the distribution of dolmens as then known; and three years afterwards another, on a much larger scale, intended to accompany the 'Dictionnaire des Antiquités celtiques,' and containing all that was then known. Were a second edition of this map published now, it would, no doubt, be much more full and complete; but the main outlines must still be the same, and are sufficient for our present purposes. From these maps and the text which accompanies them we learn that the greater number of the rude-stone monuments in France are arranged at no great distance on either side of a straight line drawn from the shores of the Mediterranean, somewhere about Montpellier, to Morlaix, in Brittany. There are none east of the Rhone, none south of the Garonne, till we come to the Pyrenees, and so few north of the basin or valley of the Seine that they may be considered as wanderers. Referring to the table at the end of this chapter, which is compiled from that of 1864, we find that thirty departments contain more than ten monuments. Thirty others, according to M. Bertrand, contain from one to eight or nine; and the remaining twenty-nine either contain none at all or these so insignificant as hardly to deserve attention. From this table we learn, at least approximately, several facts of considerable interest to our investigation. The first is that, of the three divisions into which Cæsar divides Gaul, the northern in his day belonged to a race who had had no stone monuments. There are none in Belgium proper, and so few in French Flanders, or indeed in any part of Gallia Belgica, that we may safely assert that the Belgæ were not dolmen-builders. In the next place, I cannot help agreeing with M. Bertrand in his conclusion that the Celts properly so called have as little claim to the monuments as the Belgæ.[379] We know something of the provinces occupied by the Celts six hundred years before Christ from Livy's[380] description of the tribes who, under Bellevesus, invaded Italy. Their capital was Bruges, and they occupied the departments immediately around that city; but they had not then penetrated into Brittany, nor north of the Seine, nor into any part of Aquitania.[381] But they occupied the whole of the east of Gaul up, apparently, to the Rhine and the country on the east bank of the Rhone. According to the French statistics, there are 140,000 barrows or tumuli in the departments of the Côte-d'Or, Vosges, Haut-Rhin, Bas-Rhin, Doubs, Jura, and Ain, but not one single dolmen;[382] and there are none to the east of the Rhine. As we proceed westward, the tumuli become rarer, and the dolmens are gradually met with. The Averni, for instance, were one of the Celtic tribes that accompanied Bellovesus, and in their country dolmens are found; but perhaps we need only infer from this that in a hilly country like Auvergne the older people still