July ]90s.] 



KOPJB.i.— VAPJATION IN THE RAY-FLOWERS. 



123 



III. Asteromaea Indica Bl. var. Pinnatifida Maxim. 



Only two lots were collected of this plant in the same place 

 — the riverbank, where they grew mixed together with the Aster, 

 Results obtained are as follows : 



The range was found to be 16-35 in the first collection, and 

 in the second it decreased 4 rays in both extremities. The 

 former was greater in the S.D., bus less in the C than the latter. 

 In the first collection the principal mode fell on 21 but onlj' 

 with a slight eminence, and another mode on 26 was well deve- 

 loped, whilst in the second, that on 21 was entirely disappeared 

 and the principal mode shifted to 18 with a strong eminence, 

 no indication of which being seen in the former. The lesser mode 

 on 26 was still remained and a new one appeared on 23. The 

 series of Fibonacci Avas found thus, in these two seasonal mo- 

 ments, in an excellent accordance with the modes except 23. 



Unlike that of the Aster, there was a remarkable fall of the 

 mean after the elapse of 27 days in the same plot, and, though 

 it is here indeterminable what a influence was brought about 

 by the external factors on the variation of these two species, it 

 may be said assuredly, that the seasonal change of variation 

 goes on with different features according to species, and the 

 continual fall of ra3^s is not always the case. 



The numbes of rays is in this case greater than that of the 

 Aster, and it seems undoubtedly to be one of the causes for the 

 difference. The details of the seasonal change, however, want 

 still further investigations. 



SUMMARY. 



Quantitative studies were made upon the rays of three species 

 of Compositse, viz. Arnica unalaschensis in Mt. Hakkoda, Aster 



