244 



lotka: a natural population norm 



under the integral sign, and integrating term by term. We thus 

 obtain expressions of the form 



i = Ao - A,r + A^r^ - A^r^ + • • • (4) 







TABLE II' 

 Age — Distribution 



TABLE III 



Birthrate per head : 6.. 

 Deathrate per head : d . 

 Excess : (6-<i) = r 



MALES 



Calculated Observed 



0.03647 



0.02216 



(0.01431) 



Proportion of females 



to males • j 1 .045 



0.03692 

 0.02261 

 0.01431 



1.055 



FEMALES 



PERSONS 



Calculated Observed 



0.03374 

 0.02001 

 (0.01373) 



0.03372 

 0.01999 

 0.01373 



Calculated Observed 



0.03508 

 0.02107 

 (0.01401) 



0,03528 

 0.02127 

 0.01401 



' The figures given in this table differ somewhat from those published in Phil. 

 Mag., loc. cit.; the latter were computed directly from formula (1), using for r 

 the mean value 0.01401 for the mixed sexes; in computing the results given in the 

 present paper the different values of r for males and females were taken into 

 account, as indicated in Table III. 



