1—86
"
THE BIOLOGY OF FISHES
ÎÏ_î__ÈfÎ
rowr‘in each _casè gives the aVerage foundjîn
;
offspring, the second row
the aver—age of the 'parets; _
The ospring of a row have the same father, those
of a
5,3!
column the same mother.
‘
_,
!
Assuming now that the male and female—in each case _ !
are equal‘in potency and that the average of the oñsprir'ig'
,
gives a measure of the geœrative values of the parents, the f:
:
'
latter can be obtained by a process of elimination from the _ _ !
following equations :
,
‘
Î"jÎ
‘
x+à
v+a
z+a
?
'
—=61'r
,
“…=6 '
,
—————=60'6
=
_;_
__
_2
4
2
135
2
_
5
_. _
___,_,__!
and similar equations for the other females, b, c, and d.
'
,}:
_Summing up by means
of these the values for 90,
in the
_
_Ospng averagesof
the rst table we have :
_,
_
Ê
j
zx+%(a+b+Ç+d)=z37'sz
.
'
"
‘
:
*
zy+ä(a+b+c+d)——û38'44
-
-
—
'
_
_' 2z+%(a+b+c+d)=zgg'58 and so on.
,
,
'__-?!
_
Hence,
?
.
'
'
-
'
.:
'
* a'—,Ô‘f=4’253
'
;
,
!
_
_
_
the differences between the generative values
;,
:--_ of
individuals; , Taking 6o
representa
7 Standardgeneraüve value(=y) the personal values and the. —
:
TroŒ”
Cann0Wbecompared
.
!_
,
__
TroutPelsonalvalues …Geiiâàtivevzues_.
_
>
”59
59,754.
,
,
,
:
_
.
:
'
;’ .
,6Q;-' ,:? ?—:f:{assumed).
r
zi:*g—;59
Ï 532575
'
*
*
_
,
_
61
!
_
_
_
.
,
î
1533'4‘7 -
;
;
dÎË—Lÿ5:8q Êë5ä
à”, ;
ffèr- the
’
:
_—_ Parents0btam6dfromtheosprmgdonotagreew1th thé‘ir_