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Fig. 11.5. Average ratios of the 'YI-0311' allele (AR y ) on loci in the 186 F 2 and the 26 BC 2 F 1 plants. AR y at a given locus
was calculated by using the equation: AR y
2, where h , x ,and y are the numbers of homozygous
alleles of 'Nakateyutaka,' 'YI-0311,' and heterozygous allele in the F 2 or BC 2 F 1 populations, respectively. The graphs are
classified by homeologous linkage groups (HGs) 1 to 9. LGX is shown with HG1. The X and Y axes in the graphs correspond
to genetic distance on each linkage group (cM) and AR y , respectively. Triangles show the F2 population, while circles show
the BC 2 F 1 population. Open and solid symbols indicate homeologous LG with appendix 1 (ex. LG1.1), and appendix 2 (ex.
LG1.2), respectively. Light-colored symbols represent LG with appendix 3 (LG2.3) or LGX. LG2.2, LG6.1, and LG7.2 were
not included in the figures because of incomplete LG development or lower number of mapped markers. Red and blue stars
indicate the ahFAD2A and ahFAD2B loci, respectively. For a color version of this figure, please refer to the color plate.
=
( h
+
y
×
2) / ( x
+
h
+
y )
×
were 186 and 26 in the F 2 and the BC 2 F 1 popula-
tions, respectively. AR y was calulated by using
the following equation:
were selected during backcrossing, the expected
AR y in a BC 2 F 1 population was estimated as
1/2 3
=
0.125. Of the 17 LGs, seven LGs showed
AR y values less than 0.125 on whole regions
of the LGs. Six of the 17 LGs indicated higher
AR y values than 0.125 on partial regions of
LGs. The AR y values of the other LGs (LG1.2,
LG5.2, LG9.1, and LG9.2) were higher than
0.125 on most of regions of the LGs. The higher
AR y values on LG9.1 9.2 seemed to be caused
by the two FA D 2 loci. Because progenies with
donor parental genotypes on the two FA D 2 loci
=
+
×
/
+
×
,
AR y
( h
y
2)
( x
hy )
2
where h , x , and y are the numbers of homozy-
gous alleles of 'Nakateyutaka,' 'YI-0311,' and
the heterozygous allele in the F 2 or BC 2 F 1 popu-
lations, respectively. AR y values in the F 2 popu-
lation were approximately 0.5 on most genomic
regions in the F 2 population. If random plants
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