It appears to be well settled that no real dependence can be placed upon the Chinese official returns, yet that they are the only basis upon which rational estimates can be based, and therefore have a certain value. So far as we are aware, efforts to come at the real population per square mile, have generally proceeded from such extensive units as provinces, or at least prefectures, the foundation and superstructure being alike a mere pagoda of guesses. Some years ago an effort was made in a certain district to make a more exact computation of the population of a very limited area, as a sort of unit of measure. For this purpose a circle was taken, the radius of which was twenty _li_, the foreign residence being at the centre. A list was drawn up of every village having received famine relief in the year 1878, so that it was not difficult to make a proximate guess at the average number of families. The villages were 150 in number, and the average size was taken as eighty families, which, reckoning five persons to the family, gave a total of 60,000 persons. Allowing six miles to be the equivalent of twenty _li_, the population of the square mile would be 531, about the same as the average of the kingdom of Belgium (the most densely populated country in Europe), which had in 1890 an average of only 534 to the square mile. At a distance of a few miles beyond this circle, there is a tract called the "Thirteen Villages," because that is the number within a distance of five _li_! This shows that the particular region in which this estimate was made, happens to be an unfavourable one for the purpose, as a considerable part of it is waste, owing to an old bed of the Yellow River which has devastated a broad band of land, on which are no villages. There is also a water-course leading from the Grand Canal to the sea, and a long depression much below the general average, thinly occupied by villages, because it is liable to serious inundation.