APPENDIX TABLE 4-. — ^The rettjrn of male seals and the estimated 

 number of pups born, St. Paul Island 



A test of the hypothesis that the quadratic 

 term is not significant follows: 



(5 percent point of F with (1,5) d.f. is 6.61) 



Hence, the straight line or linear relationship 

 only has been fitted. The estimated relation- 

 ship is: 



Nin =93.8 - .632D 



where 



Nm = estimated return of males at age 3 



(lOOO's) 

 D - dead-pup count (lOOO's). 



Applying this to the 1959 and 1960 data we have 



1959 D= 42 Nm= 67,300 



1960 D= 66 Nm= 52,100. 



Considering the returns from the 1959 year 

 class in 1962 the estimate of 67,300 appears 

 high. 



ESTIMATE OF RETURNS FROM THE PUP- 

 POPULATION-RETURN EQUATIONS 



The relationship between the return of 

 males and the estimated number of pups born 



was originally noted in the 1959 report.' This 

 relationship was subsequently revised, al- 

 though it was still based on data from returns 

 from year classes through 1955. Since addi- 

 tional data is now available it seems worth- 

 while to compute a revised estimate of the 

 relationship. This is based on the data in 

 appendix table 4. 



As in the original report, data have been 

 grouped by year classes of approximately the 

 same number of pups. The estimated relation- 

 ships based on this data are: 



<1) Nm= 0.239E - 0.000255E'^ (Schaefer) 

 (2) Nm = 0.0216E3/2 _ o.000732e2 



(Chapman) 



where 



Nni= male returns at age 3 (lOOO's) 



E= estimated number of pups born (lOOO's). 



The revised equations based on additional data 

 are changed only insignificantly from those 

 given in the 1961 report. * These were; 



Nm = 0.233E - 0.00023E2 



'm 



Nj„= 0.0234E3/2_ 0.0008E2. 



'DouglasGiChapman, appendixB (See text fcxjtnote 6. 

 p. 30). 

 * See text footnote 1. table 33, p. 43. 



58 



