Agriculture Reference
In-Depth Information
(7) Given values for the variance of the F
2
, and vari-
ance of both parents (P
1
and P
2
)
(8) A new oil crop (
Brassica gasolinous
) has been dis-
covered which may have potential as a renewable
biological fuel oil substitute. This diploid species
is tolerant to inbreeding and is self-compatible.
A preliminary genetic experiment was designed to
examine the inheritance of seed yield (YIELD) and
percentage oil content (%OIL). This experiment
involved a 4
and the F
1
,
estimate
h
b
and explain what this value means in
genetic terms.
2
2
σ
F
2
=
σ
F
1
=
436.72;
111.72
2
2
σ
P
1
=
164.13;
σ
P
2
=
109.33
×
4 half diallel (including selfs). The
four homozygous parental lines are represented by
the codes AAA, BBB, CCC and DDD. The half
diallel array values (averaged over two replicates),
array means, general combing ability (GCA) val-
ues, mean squares from the analyses of variance
(Griffing style),
V
r
and
W
r
values (Hayman and
Jinks' analysis), variance of array means (
V
xr
)
Given the variance from two parents (P
1
and
P
2
)
, the F
1
,F
2
,B
1
and B
2
families, estimate the
narrow-sense heritability (
h
n
)
and explain what
the value means in genetic terms.
2
2
σ
P
1
=
9.5;
σ
P
2
=
7.4
and
2
2
σ
F
1
=
σ
F
2
=
8.6;
17.7
parental variances (
V
p
)
, and the one-way analyses
of variance for
V
r
+
W
r
and
V
r
−
W
r
are shown
2
2
σ
B
1
=
14.3;
σ
B
2
=
15.2
below for each character.
Yield
%Oil
AAA
40.5
20.5
BBB
38.5
29.5
20.5
25.0
CCC
37.0
28.0
19.5
23.0
26.0
30.5
DDD
32.5
20.5
18.5
10.0
24.5
27.5
31.0
36.0
AAA
BBB
CCC
DDD
AAA
BBB
CCC
DDD
Array means
37.1
29.1
25.8
20.4
22.1
24.7
27.6
29.8
Source
df
Yield
%Oil
G.C.A.
3
796.5
180.6
S.C.A.
6
90.5
30.1
Replicate blocks
1
0.4
0.1
Replicate error
9
51.5
5.7
V
r
and
W
r
values
Yield
%Oil
V
r
W
r
V
r
W
r
AAA
46.2
171.3
15.6
50.7
BBB
218.2
376.7
36.3
75.0
CCC
297.7
436.7
58.3
98.0
DDD
344.3
472.3
97.3
132.3
V
xr
and
V
p
values
Yield
%Oil
V
xr
196.9
44.4
V
p
687.6
180.7
Yield
%Oil
Source
df
V
r
+
W
r
V
r
−
W
r
V
r
+
W
r
V
r
−
W
r
Between
3
8760
28.0
628
7.68
Within
4
133
17.0
115
4.77
