To the west of the province of Cordova, across the Sierra, lies La Rioja, formerly a dependency of that government, but now dignified with the title of an independent province, divided into four departments, viz., Arauco, Guandacol, the Llaños, and Famatina. It is nominally under the rule of a governor and a municipal junta of five members. The city from which it takes its name was founded in 1591, at the foot of the Sierra de Velasco, a granitic range, and is situated, according to a MS. in my possession, in latitude 29° 12´, though I know not upon whose authority. In 1824 the population did not amount to more than 3500 souls, though the whole province may contain from 18,000 to 20,000. Arauco, which is the most northern department, contains about 3000, chiefly occupied in the cultivation of vineyards, from which they make 8000 or 10,000 small barrels annually, of a strong sweet wine, which is sent to Cordova and the neighbouring provinces. Guandacol, which lies to the westward, beyond the range of Famatina, and along the base of the Cordillera of Chile, contains about 1500 inhabitants,--chiefly congregated in the towns of Guandacol and Vinchina. They are employed in agriculture, and, at a particular season, in hunting the vicuñas in the Cordillera, the wool of which forms a valuable article of trade:--the flesh is an article of food. The Llaños, which lie to the south of La Rioja, constitute a rich grazing district, in which about 20,000 head of cattle are annually bred. The inhabitants are calculated to be about 6000.