1-46 



Part III. — Tivent {/-second Annual Report 



A simple method of determining the relationship, without calculating 

 out the ratio at all lengths, is to compare the weights at twice the size ; 

 according to the law the weight should be eight times greater. This has 

 been done in all the possible cases throughout the tables, and, with a few 

 exceptions in individual instances where the numbers were usually small, 

 it has been found that the weight at twice the size is greater, and some- 

 times very considerably greater, than the law implies. 



Thus, among plaice of which a large number were weighed (913) there 

 is no exception to the statement made, from 4'5cm. on to 35-70cm. 

 In all cases the weight calculated in this manner is less than the weight 

 actually observed, and the excess over what is required by the law is in 

 some cases considerable. The following examples may be given : — 





Observed Weight 





Weight in Grammes. 





Cm. 



(Smoothed). 



Cm. 







Excess. 





Grammes. 















Calculated. 



Observed. 





5 



1-17 



10 



9-36 



9-62 



•26 



8 



4-78 



16 



38-24 



41 



2-78 



10 



9-62 



20 



76-96 



77-10 



•14 



12 



17-35 



24 



138-8 



140-6 



1-8 



15 



34 



30 



272 



299-1 



27-1 



18 



57 79 



36 



462-2 



527 



64-8 



20 



77-1 



40 



616-8 



707-9 



91-1 



22 



112-8 



44 



902-4 



954 



51-6 



25 



161 



50 



1,288 



1,404 



116 



27 



207 



54 



1,656 



1,802 



146 



30 



299-1 



60 



2,392-8 



2,468 



75-2 



Throughout the tables of measurements for haddocks also the weight 

 thus calculated is always under the weight observed, except in a few 

 cases among the largest fishes. Whether this is due to the fact that the 

 number of the fishes at the larger sizes is too small to show the true 

 relation, or the difference is a real difference with age, cannot at present 

 be decided. I give the selected examples for haddocks in the accompany- 

 ing Table, with all the cases where the calculated weight is greater than 

 the observed weight : — 



Cm. 



Observed Weight 

 (Smoothed). 

 Grammes. 



Cm. 



Weight in 



Grammes. 



Difference. 



Calculated. 



Observed. 



10 



7-93 



20 



60-4 



65-7 



+ 5-3 



12 



13-6 



24 



108-8 



118-3 



+ 9-5 



15 



28-3 



30 



226-4 



243-3 



+ 16-9 



18 



48-3 



36 



386-4 



425-2 



+ 38-8 



20 



657 



40 



535 6 



591-6 



+ 56-0 



22 



91-4 



44 



731-6 



777*6 



+ 46 



25 



140-2 



50 



1,121-6 



1,171 



+ 49-4 



26-5 



165-6 



53 



1,324-8 



1,379 



+ 54-4 



?8-5 



205-5 



57 



1,645-0 



1,635 



-10 



! 31 



2717 



62 



2,173-6 



2,110 



-63-6 





465-9 



74 



3,727 



3,691 



-36 



