50 



GENETIC STOCKS AND BREEDING METHODS 



inspection (figure 16). In this diagram, F 1 ( = r So ) and F 2 ( = r so ) are the inbreeding 

 coefficients of males and females respectively. The coefficients are as follows: 



r'so r 'so r SS r Ss r ss r ao • 



(l/2)(l-c) (l/2)c (l/2)(l-c) (1/2)* 



l/2)(l-c) (1/2). (l/2)(l-0 





(1/2)(1 -c) 

 (1/2) C 



/ 



1 - / 



I 









 

 



1/2 







(1 - c) 2 a 



(\l2)la 



c 2 a 









 

 

 



(1/4)6 



% v 2 



\i V 



F i = r s, 



Fig. 16. Mating type Dd x dd. 

 DsDd 



dcO d, 



c l-c 



1/ 1/ 



(2 /2 



\J f/ 



F 2 =r so 



o 



c 2 a (1 - /)(1 - a) 

 (l/2)/fl /(l - a) 



(1 - c) 2 a (1 - /)(1 - a) 



(1/4)6 (1/2)(1 - b) 



( JVJ W 



'o fo'o ft 



jy 2 V 'W 2 



do 



u o 

 Too 



D s dd D s Dd 



IV' ) •' 



X • -c c 



l-c ci-cc \ , 



V \i W 



D s D S D S 



— — —'' v y 



r ss 



I 



r Ss 



d s □ d d s d a 



i , x . c l _c 



c l-c x c l-c \ / 



r S s" 



Diagrams for analysis of six types of gametic pairs with respect to linked locus. 



The P matrix is the same except for elimination of the constant terms. The 

 characteristic equation is thus a rather complicated sextic equation. 



X 6 - X 5 /4[4(l - c) + 4(1 - c) 2 a + b] 



- (X 4 /4){(c + 2(1 - e)(l - I) - 4(1 - c) 3 a - (1 - c)b) 

 + (X 3 /16)(l - 2c){2(3 - 2/) 4- 4(1 - c)\c 4- 2(1 - c) 2 ]a 



+ (1 - 2c)b + 4(1 - l)a 2 b) 

 4- (X 2 /16)(l - 2c) {2(1 - /) - 2(1 - c) 2 (3 - Ac)a 4- 2cla 2 



- (1 - l)b 4- 2clab - 4(1 - c){\ - l)a 2 b) 



- (X/16)(l - 2/){2(l - c) 2 a - [1 - 2(1 - c) 2 ]a 2 b} + (1/16)(1 - 2l) 2 a 2 b= 0. 



