KUNGL. SV. VET. AKADEMIENS HANDLINGAR. BAND 58- N:Q 3- 



41 



In approximating the <4-series case II must here be applied. This is most 

 easily seen from the frequency curves for the marginal distributions. It will be seen 

 that in the case of the distribution of the length, the ^4-function cannot be broken 



off with the term PotVffiv)- If the term ^Pas^iv) De added the fit will be very much 

 better. In case of the distribution of the breadths it is of but little consequence 

 whether the term H$» f /'o 8) ( ? i) i s included or not. Exactly how the last term works may 

 be seen from figures 1 and 2. 





Y 





























III 





1 1 i ! 1 J ! _i_ 1 \ I 



1 



i ' i ! .- t L;h 



i " 







i&* ' " *<> Ov 









tnl/jT ' "' X. 



1 



1 



° i ' ^v 





A* M J A 



\ \ 



° r r\ 



: 



* f ^It \. 





é ' \ 





i° J oV 



, r 



° é. f rwit 



7 



J^ «* L ' 



! ..: 



n*Jy' ^\. 







z.ir. 



c <ir ' ^^» 





Q%*1 T^k± ' 





, -afil' P^i! ' 





U^Oj 1 i V^ 





^*é wk ^ » 





' U-J J 1 r~r l r -- a * 1 i-ri5rrt : l'-3r- 







-j -2 -7 O ♦/- + 2 +J 



Fig. 1. Frequency curves for the horizontal marginal distribution. 

 The dotted curve is the normal curve y = cp . 

 The dashed curve is the 4-curve I y = <p + $ 30 -s> j 3 ) + p 40 tp™ . 

 The unbroken curve is the .4-curve II y = tp„ + p a „ -f ( 3 ' + $ i0 'f ( 4 ' + ^ r ?' ao <? „ 6 * ■ 



-J -2 -7 O ♦/ +2 



Fig. 2. Frequency curves for the vertical marginal distribution. 

 The dotted curve is the normal curve */ = 'f - 

 The dashed curve is the ^4-curve I y = 'i + £ 03 'i' 3j + [t! , «y). 

 The unbroken curve is the 4-curve II y = <p + p , o*, 3 ) + ^,, 4 -i ( 4) + - ^ 3 'f*, 6) ■ 

 K. Sv. Vet. Akad. Handl. Band 58. N:o 3. 



