516 THE AMERICAN NATURALIST [Vol. XLVIII 



The pedigree for 12 ancestral generations of the Jersey 

 hull King Melia Rioter 14th (103901) may be taken as the 

 first illustration. 



TABLE II 



Partial Pedigree Elimination Table for King Melia Rioter 14th Show- 

 Pedigree of Animals which first Appear on that Side 



Generation 2 3 4 5 6 7 8 9 10 11 12 



King's Rioter Lad — — — 1 2 4 8 16 32 64 128 



Table III is clearly the one which demands special 

 attention. As will shortly appear, it is the most important 

 for the theory of inbreeding. Let us attempt its analy- 

 sis. Just what does the first entry mean genetically? It 

 states that King Melia Rioter, an animal which first ap- 

 peared on the sire's side of the pedigree, reappeared in 

 the second ancestral generation on the dam's side. What 

 this clearly means is that at least one half of all the dam 's 

 ancestors, in the third and higher ancestral generations, 

 are Identically the same animals as are ancestors of the 



