THE PROBLEM OF INBREEDING 145 



Z2 {Kz ) = 25.00 (50.00) 

 Z3 (X4 ) = 37.50 (62.50) 

 Z4 {K5 ) = 50.00 (75.00) 

 Z5 {K^ ) = 71.88 (87.50) 

 Ze {K^ ) = 81.25 (92.19) 

 Z^ {Ks ) = 90.63 (92.97) 

 Zs (i^9 ) = 92.77 (93.75) 

 Z9 (Xio) = 93.65 (93.75) 

 Zio (Zii) = 93.85 (93.75) 

 Zii (ii:i2) = 93.85 (93.75) 



The physical meaning of these expressions is 

 simple and straightforward. Z4 (K5) tells that 

 in the 5th ancestral generation of King Melia 

 Rioter 14th he had only one half as many different 

 ancestors as was possible for that generation, and 

 of his ancestors three fourths were common to 

 his sire and his dam. However one looks at the 

 matter there can be no denial that King Melia 

 Rioter 14th is a closely inbred animal. 



III. Genetic Bearing 



Up to this point the discussion of inbreeding has 

 confined itself entirely to the logical aspects of 

 inbreeding, considered as a mode of mating indi- 

 viduals with relation to their kinship. Nothing has 

 been said, either about the relation, if any, of 

 inbreeding and relationship coefficients to the 

 zygotic or gametic constitution (in the Mendelian 

 sense) of the individual, or about the physiological 



