K. ToYAMA 



393 



females (series 3). The F,, eggs laid by the first and the second series 

 of matings will be all D batches, since all females are DR or DD. For 

 the same reason, the third series of matings will give all R batches. 

 The Fs eggs derived from the Fo moths paired inter se will be, therefore, 

 a mixture of D and R batches in certain proportions. If we assume 

 that the number of males and females found in each batch is nearly the 

 same, the proportion of D and R batches laid by inter se moths derived 

 from an F„ D batch would be 6i) : 3i? or 2D : \R. 



As in the case of the F., the zygotic constitution of F^ D and R 

 batches is not simple D or R. As the formulae quoted just above shew, 

 the constitution of certain F.^ D batches is DD (series 1 a), some batches 

 DR (series 1 c), some a mixture of DD and DR (series 1 h and series 2 a), 

 or DR and RR (series 2 c), and the rest DD, DR and RR (series 2 b). 

 We get similar results in the case of the F, R eggs, some batches being 

 DR (series 3«), some (series 3 c) RR, and the rest (series 3 6) a mixture 

 of DR and RR. 



If moths derived from F^ D or R batches were inbred, what will be 

 the result in the dominant series ? 



In Fi D batches, as we have already observed, there are five different 

 kinds of batches whose zygotic compositions are respectively : (1) DD, 

 (2) (DR +DD), (3) DR, (4) (DD + DR + RR), (5) (DR + RR). The 

 moths derived from each kind paired inter se will produce the following 

 Ft batches : 



Matinj; 

 1. DD inter se = DD x DD^ 



2. (DR + 1)D) inter se = 



Zygotic comjiosition 

 DD 



Outward appear- 

 ance of F^ eggs 



D 



iDE X s DR = {DD + DR + RB) D 



? Ci? X i DD = (DD + DR) D 



i DD X s DD=DD D 



iDDx i DR = {DD + DR) D 



3. DR inter se = 



9DRx i DR = (DD + DR + RR) 



D 



4. {DD + DR + RR) inter se = 



/-I. iDD X i DD = DD D 



•i. ^DD X i DR = {DD + DR) D 



3. 2 DD X i RR = DR D 



4. iDRx 6 DD = (DD + DR) D 



5. 1 DR X i DR = (DD + DR + RR) D 



6. i DR X i RR = {DR+ RR) D 



7. iRR X s DD = DR R 



8. iRR X e DR = (DR + RR) R 



9. ?i^i^ X <f RR = RR R 



5. {DR+RR) inter se-- 



Jouin. of Geu. ii 



^DR X s DR = {DD + DR + RR) D 



<} DR X i RR = {DR + RR) D 



9 RR X i DR = {RR + DR) R 



•iRR X s RR = RR R 



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