64 THE SHADOW OF THE WORLD’S FUTURE world-average, however, it would make the ultimate total of population possible for the whole world as low as only 3552 millions, see Chapter III. But further, if the supposed possibilities of improvement could reach the 800 millions referred to in that chapter, instead of remaining at 503 millions, this would indicate a limit of 5650 millions of inhabitants. These results, 4200, 3552, and 5650 millions, are all very moderate, as compared with undisciplined speculations on the basis of mere guessing as to how many people the earth can carry. What has been pointed out by H. Brenier, however, indicates that 4200 millions is an underestimate. It is also very probable, as already shown, that the 31-2 per cent. is too low an estimate of the productive surface.