FISHERY BULLETIN: VOL. 81, NO. 2 



APPENDIX 1.— NOTATION 



n 



m a 



m b 



K 



Pab 



k 

 h{k) 



c, 



n, 



In. 



estimate of the number of whales in a pass- 

 ing group. 



number of whales estimated to be within in- 

 terval a during the regular censuses, 

 number of whales classified into interval b 

 after restructuring by Equation (2). 

 mean bias for estimates of the number of 

 whales in pods of n individuals, 

 the proportion of the whales estimated to 

 pass within offshore distance interval a 

 which are actually passing within interval 

 b. 



the year of the census, with the 1967-68 

 census scaled as year 1. 

 offshore distance distribution correction 

 factor for year/?. 



cumulative proportion of whales sighted 

 between the shore and 1.5 mi (2.4 km) dur- 

 ing the regular census, 

 cumulative proportion of the population 

 predicted to have passed between the shore 

 and 1.5 mi (2.4 km), by aerial transect 

 verification. 



estimate of the total number of whales pass- 

 ing the census site during day), from actual 

 counts, or from the gamma distribution, 

 depending upon the visibility conditions, 

 sum of the daily estimates, 

 number of hours during which a watch was 

 conducted on day). 



Pj 



P, 



a = 



a, b 



N 



N, 



N„ 



SI 



si 



— the relative proportion of the population es- 

 timated to have passed the station on day;, 

 from direct observation. 



= the relative proportion of the population ex- 

 pected to have passed the station on day), 

 from the gamma model. 



= the cumulative proportion of the popula- 

 tion expected to have passed the station up 

 to and including day), less the proportion 

 which passed prior to the first census 

 day. 



= scale parameter of the gamma distribu- 

 tion. 



= shape parameter of the gamma distribu- 

 tion. 



= intervals of distance from shore. 



= total number of whales in the population. 



= estimate of the total number of whales in 

 the population from data cumulative to 

 day;'. 



= estimate of population total for year/e, using 

 data cumulative to the last day of the 

 census. 



= variance of the estimate of the population 

 total derived from the components of the 

 estimation model (Equation (11)) by the 

 Delta Method (see Appendix 2). 



= variance of the estimate of the population 

 total from data subsamples. 



280 



