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Methods of analysis and the estimation of the genetic parameters from a diallel set of crosses
Summary The relationships between the estimates of general (σ 2 g ) and specific (σ 2 s ) combining abilities obtained from the four methods of diallel analysis described by Griffing (1956) and estimates of D R and H R , the additive and dominance components of variability, are compared both theoret...
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Published in: | Heredity 1984-01, Vol.52 (2), p.243-253 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | Summary
The relationships between the estimates of general (σ
2
g
) and specific (σ
2
s
) combining abilities obtained from the four methods of diallel analysis described by Griffing (1956) and estimates of
D
R
and
H
R
, the additive and dominance components of variability, are compared both theoretically and experimentally for model II situations. Theoretically they are compared by deriving the expectations of the variance components for the general and specific combining abilities for each method in terms of the genetical parameters
and
Experimentally they are compared by extracting data from a diallel set of crosses between a random sample of 29F
9
families derived from the F
2
of the cross of varieties 1 and 5 of
Nicottana rustica
by pedigree inbreeding.
The theoretical results show and the experimental results confirm that the genetical expectations of σ
2
g
and σ
2
s
for method 1 are identical with the general definitions of ¼
D
R
and ¼
H
R
. This method, therefore, gives consistent estimates of
D
R
and
H
R
in all situations. In contrast, methods 2, 3 arid 4 give close approximations to ¼
D
R
and ¼
H
R
only when estimates from diallels involve large numbers of parents.
The limitations of diallel analysis as a source of estimates of genetically defined as opposed to statistically defined parameters are discussed. |
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ISSN: | 0018-067X 1365-2540 |
DOI: | 10.1038/hdy.1984.26 |