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THE AMERICAN NATURALIST [Vol. XLYIII 



Zo = o 



Z s = 92.77 

 Z =93.(55 

 Z w = 93.S5 

 Z u = 93.85 



These facts will possibly be made clearer to those not 

 actually working' much with pedigrees by Table V, which 

 gives tiie first four ancestral generations 4 of the pedigree 

 of King Melia Rioter 14th. 



Generalizing the above reasoning we get the following 

 result. 



In A 3 , and higher ancestral generations, 2/4 = 50.00 per 



cent, of the dam's ancestors are animals which are also 



ancestors of the sire. 

 In A 4 , and higher ancestral generations. 5 S = 62.50 per 



cent, of the dam's ancestors are animals which are also 



ancestors of the sire. 

 In A 5 , and higher ancestral generations, 12/16 = 75.00 per 



cent, of the dam's ancestors are animals which arc also 



ancestors of the sire. 

 In A,,, and higher ancestral generations, 28 32 = 87.50 per 



cent, of tin 1 dam's ancestors are animals which are also 



ancestors of the sire. 

 In A 7 , and higher ancestral generations, 50 '64 = 92.19 per 



cent, of the dam's ancestors are animals which are also 



