Our route had been along the timber of the San Joaquin, generally about eight miles distant, over a high prairie.

In one of the bands of elk seen to-day, there were about 200; but the larger bands, both of these and wild horses, are generally found on the other side of the river, which, for that reason, I avoided crossing. I had been informed below, that the droves of wild horses were almost invariably found on the western bank of the river; and the danger of losing our animals among them, together with the wish of adding to our reconnoissance the numerous streams which run down from the Sierra, decided me to travel up the eastern bank.

2d.--The day was occupied in building a boat, and ferrying our baggage across the river; and we encamped on the bank. A large fishing eagle was slowly sailing along, looking after salmon; and there were some pretty birds in the timber, with partridges, ducks and geese innumerable in the neighborhood. We were struck with the tameness of the latter bird at Helvetia, scattered about in flocks near the wheat-fields, and eating grass on the prairie; a horseman would ride by within 30 yards, without disturbing them.

3d.--To-day we touched several times the San Joaquin river--here a fine- looking tranquil stream, with a slight current, and apparently deep. It resembled the Missouri in color, with occasional points of white sand; and its banks, where steep, were a kind of sandy clay; its average width appeared to be about eighty yards. In the bottoms are frequent ponds, where our approach disturbed multitudes of wild fowl, principally geese. Skirting along the timber, we frequently started elk; and large bands were seen during the day, with antelope and wild horses. The low country and the timber rendered it difficult to keep the main line of the river; and this evening we encamped on a tributary stream, about five miles from its mouth. On the prairie bordering the San Joaquin bottoms, there occurred during the day but little grass, and in its place was a sparse and dwarf growth of plants; the soil being sandy, with small bare places and hillocks, reminded me much of the Platte bottoms; but, on approaching the timber, we found a more luxuriant vegetation, and at our camp was an abundance of grass and pea-vines.

The foliage of the oak is getting darker; and every thing, except that the weather is a little cool, shows that spring is rapidly advancing; and to- day we had quite a summer rain.

4th.--Commenced to rain at daylight, but cleared off brightly at sunrise. We ferried the river without any difficulty, and continued up the San Joaquin. Elk were running in bands over the prairie and in the skirt of the timber. We reached the river at the mouth of a large slough, which we were unable to ford, and made a circuit of several miles around. Here the country appears very flat; oak-trees have entirely disappeared, and are replaced by a large willow, nearly equal to it in size. The river is about a hundred yards in breadth, branching into sloughs, and interspersed with islands. At this time it appears sufficiently deep for a small steamer, but its navigation would be broken by shallows at low water. Bearing in towards the river, we were again forced off by another slough; and passing around, steered towards a clump of trees on the river, and finding there good grass, encamped. The prairies along the left bank are alive with immense droves of wild horses; and they had been seen during the day at every opening through the woods which afforded us a view across the river. Latitude, by observation, 37° 08' 00"; longitude 120° 45' 22".

5th--During the earlier part of the day's ride, the country presented a lacustrine appearance; the river was deep, and nearly on a level with the surrounding country; its banks raised like a levee, and fringed with willows. Over the bordering plain were interspersed spots of prairie among fields of tule, (bulrushes,) which in this country are called tulares, and little ponds. On the opposite side, a line of timber was visible which, according to information, points out the course of the slough, which at times of high water connects with the San Joaquin river-- a large body of water in the upper part of the valley, called the Tule lakes. The river and all its sloughs are very full, and it is probable that the lake is now discharging. Here elk were frequently started, and one was shot out of a band which ran around us. On our left, the Sierra maintains its snowy height, and masses of snow appear to descend very low towards the plains; probably the late rains in the valley were snow on the mountains. We traveled 37 miles, and encamped on the river. Longitude of the camp, 120° 28' 34", and latitude, 36° 49' 12".

6th.--After having traveled fifteen miles along the river, we made an early halt, under the shade of sycamore-trees. Here we found the San Joaquin coming down from the Sierra with a westerly course, and checking our way, as all its tributaries had previously done. We had expected to raft the river; but found a good ford, and encamped on the opposite bank, where droves of wild horses were raising clouds of dust on the prairie. Columns of smoke were visible in the direction of the Tule lakes to the southward--probably kindled in the tulares by the Indians, as signals that there were strangers in the valley.

We made, on the 7th, a hard march in a cold chilly rain from morning until night--the weather so thick that we traveled by compass. This was a traverse from the San Joaquin to the waters of the Tule lakes, and our road was over a very level prairie country. We saw wolves frequently during the day, prowling about after the young antelope, which cannot run very fast. These were numerous during the day, and two were caught by the people.

Late in the afternoon we discovered timber, which was found to be groves of oak-trees on a dry arroyo. The rain, which had fallen in frequent showers, poured down in a storm at sunset, with a strong wind, which swept off the clouds, and left a clear sky. Riding on through the timber, about dark we found abundant water in small ponds, 20 to 30 yards in diameter, with clear deep water and sandy beds, bordered with bog rushes, (juncus effusus,) and a tall rush (scirpus lacustris) twelve feet high, and surrounded near the margin with willow-trees in bloom; among them one which resembled salix myricoides. The oak of the groves was the same already mentioned, with small leaves, in form like those of the white-oak, and forming, with the evergreen-oak, the characteristic trees of the valley.