﻿56 SMITHSONIAN MISCELLANEOUS COLLECTIONS VOL. 59 



larger is the head absolutely, but the smaller relatively. If we take 

 the mean stature and mean cephalic module as basis of comparison, 

 we see that in advancing from these in either direction the changes 

 in stature are more rapid than those of the head. As a result of this 

 as we advance with stature above the mean, the head-stature index 

 gradually diminishes, while if we progress below the mean body 

 height, it gradually increases. Thus, as already stated, the shortest 

 men have a head absolutely smaller but relatively to stature larger 

 than the tallest. 



The table under consideration and a still closer analysis of the 

 data reveal further that the diminution of the head-stature index 

 from the mean, as well as its augmentation, go on with a fair regu- 

 larity and that the change averages, in well preserved adults, approxi- 

 mately 0.45 mm. (of the mean head diameter) for each i.o cm. of 

 the stature. This 0.45 may well be regarded as the mean, stable, 

 differential quotient between a regular theoretical and the actual 

 increase of head size in proportion to stature. 



The main conditions dealt with in the preceding paragraphs are, so 

 far as the writer can ascertain, not peculiar to the Kharga natives. A 

 similar variation of the head-stature index, and a similar value of 

 the head-stature differential quotient, occur in the Indians and also 

 in whites. 



Regrettably, there are no means of direct comparison in this 

 respect of the Kharga natives with the Valley Egyptians. Chantre's 

 data are not detailed enough, besides which his head height is 

 generally so low that it must have been measured by a method unlike 

 that of the writer and can not be utilized for the determination of 

 the cephalic module comparable with that used in this paper. Myers' 

 data on the Egyptian soldiers, on the other hand, apply, as already 

 mentioned, to men selected for their stature ; moreover, Myers has 

 measured the height of the head from the bi-meatus line to maxi- 

 mum elevation of the vault measurement, which on the average is 

 about 11 mm. in excess of the bi-meatus-bregma height measured by 

 the writer. Nevertheless it is possible to make some indirect colla- 

 tion between the two series of subjects, resulting as follows : 



Height of 

 head (bi- 

 Length of Breadth of meatus line Cephalic 



head head to bregma) module 



Egyptian soldiers from the 

 Valley (Myers) of average 

 stature above 170cm 19.5 14.4 about 13.5 about 15.8 



Male Egyptians from the 

 Kharga Oasis (H.) of aver- 

 age stature above 170cm.... 19.0 14.4 13-36 15.6 



