As Pirenne and Crombie have pointed out above, scattered light can, in the long ranges at which aircraft are spotted, have an effect on contrast which is not present at short ranges, but calculations for short ranges show that one might expect a considerable difference in spotting range for black and white birds. A considerable part of the brightness of a roughly hemispherical object such as a bird, seen from below with overcast sky, is contributed by skylight and not by light reflected from the sea. Estimating the reflexion factor of the bird's plumage at 0·9, this would make the mean brightness of the underside about 0·15 of that of the cloud background. This should have a definite effect on maximum spotting range, for at the human threshold, in clear air, the visibility of an object of high contrast is determined mainly by the total reduction in incident light or 'subtractive energy', that is, the contrast multiplied by the angular area. Thus an object of half the background brightness will require to have about twice the area, or to be brought to about l/2 of the distance, to be visible. The same is likely to apply to fish (though their absolute visual acuity is poorer); and for objects blurred, as Pirenne and Crombie point out the image of the bird will be, by surface ripples. On this basis, a contrast of 0·85 should produce a 7 per cent reduction in spotting range, which is of the same order as that to be expected with aircraft. Further, the conditions of cloudless blue sky, under which the bird will be brighter than the sky, are rather rare in temperate climates and there will be other conditions, such as sun shining through breaks in cloud, in which the brightness of the bird may exactly equal that of the background.