134 MODES OF RESEARCH IN GENETICS 



appear on the sire's side. The fourth part is the 

 reverse of the third. These last two may be called 

 the "cross tables." The sums of the totals of 

 these partial tables will give the total p a+1 — q n+1 

 values for the successive generations. 



The formation of the tables on this plan may be 

 illustrated with some examples. These examples 

 will also show the skeleton method of writing 

 pedigree elimination tables, which saves much 

 labor. It consists simply in doubling the total 

 of the column for each generation rather than the 

 separate items. 



The pedigree for 12 ancestral generations of the 

 Jersey bull King Melia Rioter 14th (103901) may 

 be taken as the first illustration. 



From these tables it is obvious that a very con- 

 siderable portion of the inbreeding shown in the 

 pedigree of King Melia Rioter 14th arises from the 

 fact that his sire and dam were closely related. 

 Furthermore, both sire and dam are closely inbred 

 in their own lines. The curve of total inbreeding 

 in this case is shown in Fig. 2, along with the 

 curves for continued brother X sister, and parent 

 by offspring. 



Table 7 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 analysis. Just what does the first 

 entry mean genetically? It states that King 

 Melia Rioter, an animal which first appeared on 



