THROUGH CrMULATIVE SEGREGATION. 257 

 _ ma M-Mg 



mc 



-M3^^+(2^^Z:M)c (Formula 1) 



H=Px— — _ (9^ 

 ^M-m+(2w-M)c ^"^^ 



lfon'= the ratio of fertility for the Three-quarter-breeds, then according to 

 the reasoning given in Tables VII. and YIII., 



T 2'm'G 



H M-w'-|-(2m'-M)c' 



^ T H T ... 



p=pXg (4) 



The following solutions, as well as those given in Tahle Y., are 

 obtained by substituting values for M, and c in formula (2) : — 



When M=4, m=3, then if 



c = 1^, Half-breeds = Pure-breeds x -|, 



^ 3) )> )J 5 J 



n — ^ = V -2. 



/> — J =r X 2. 



1 



i = X^ 



8' n 55 '^1^0 5 



^ 95 5> J5 1 1 ' 



— 1 _ V :? 



105 5) 5? '^125 



^~TW5 55 — >J ^ TOT* 



When M=5, m=4, then if 



c= 1, Half-breeds 



1 = 



Pure-breeds 



X ^ 

 ^ 5 5 



0=1 



5J 







X 4l 

 ^ 65 



c=i, 



55 







X y, 



o=h 



55 





55 



X ^5 





55 





55 



X I, 



o=h 



>5 





55 





^ — 8' 



55 





55 



115 





55 





55 



X T%5 





55 





55 



X A, 





5? 





55 



X ITS"? 



^ 1 0005 



55 





55 



X 1 0*0 3 ' 



