138 MAINE AGRICULTURAL EXPERIMENT STATION. I9T3. 



relation to its purely theoretical aspects, or in the practical fields 

 of stock-breeding and eugenics. 



Table Showing the Maximum Possible Number of Different 

 Ancestors in the First Twenty Ancestral Generations (Obli- 

 gate Bisexual Reproduction). 



Ancestral 



Maximum Possible 



Ancestrai, 



Maximum Possible 



Generation. 



Number of Ancestors. 



Generation. 



Number of Ancestors. 



1 



2 



11 



2,048 



2 



4 



12 



4,096 



3 



8 



13 



8,192 



4 



16 



14 



16,384 



5 



32 



15 



32 ,768 



6 



64 



16 



65 ,536 



7 



128 



17 



131 ,072 



8 



256 



18 



262,144 



9 



512 



19 



524 ,288 



10 



1,024 



20 



1 ,048 ,576 



