MATHEMATICAL CONSIDERATIONS 93 



homozygous or completely heterozygous individual in the 

 early generations will become very much less. 



TABLE II 



The Theoretical Number and Ratio of Individualb in the Classes of 



Different Degrees of Heterozygosity, After Recomhination, 



WHEN Fifteen Mendelizing Units Are Involved. 



As an example, in Table II there is shown the theoreti- 

 cal classification of the progeny of a self-fertilized organ- 

 ism which is assumed to be heterozygous ^vith respect to 

 15 independent Mendelizing units. It can be seen that the 

 bulk of the individuals lie between classes 6 and 11, 

 where none of the members is heterozygous for more 

 than 10 or less than 5 factors. In other words, any indi- 



