• Communications for Statistical Applications and Methods
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• v.11 no.1
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• pp.169-179
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• 2004

Partially balanced diallel cross designs with m-associate classes are defined and two general methods of construction are presented. Two-associate class designs based upon group divisible, triangular, and extended group divisible association schemes obtained using the general methods are also given. Tables of designs for p$\leq$24 are also provided.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.48 no.6
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• pp.442-446
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• 2003

The Gene action for eight quantitative characters related to the plant type was estimated using diallel cross among three different plant types of sesame (Sesamum indicum L.) in 2001. The parental varieties used for diallel cross were Ahnnam and Yangbaeck as indeterminate type, ksan22 as semi-determinate type, and dt-45 and Suwon131 as determinate type. In variance and covariance analysis (Wr-Vr) for eight characters the mean square of array except for capsule length, 1,000 seed weight were significant, which suggest that varieties involved in diallel set cross may have epitasis. Complete dominance was observed in the flowering periods, and ratio of matured grains while partial dominance was observed in the plant height, no. of capsules per plant, and no. of branch per plant. Broad sense heritability for flowering periods, plant height, no. of capsules per plant, and no. of branch per plant ranged from 0.91 to 0.99. Narrow sense heritability for flowering periods, capsule length, ratio of matured grain, 1,000 seed eight were 0.18 to 0.34, and plant height, no. of capsules per plant and no. of branch per plant were ranged 0.77 to 0.81.

• Journal of Life Science
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• v.7 no.1
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• pp.59-65
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• 1997

In this experiment, gene actions were analysized for seven barley parents in order to obtain basic information on their genetic improvement by diallel crosses. The results obtained were summarized as follows. In analysis of variance, additive, dominant, maternal and reciprocal effects were observed significantly for culm length, tiller number, number of spiked per plant, culm diameter, awn length, leaf width, number of grains per spike, and 1000 grain weight. Over-dominance was shown by Vr-Wr graphic analysis in five characters such as tiller number, number of spikes per plant, length of flag leaf, number of grains per spike, and 1000 grain weight, and partial dominance in four characters such as culm length, culm diameter, awn length, and leaf width. Component of genetic varience analyzed for four characters such as culm diameter, awn length, length of flag leaf, and leaf width showed that additive effects were higher than dominant effects. Culm length, tiller number, number of spikes per plant, number of grains per spike, and 1000 grain weight showed dominant effects higher than additive effects. The narrow-sense heritability for awn length, leaf width, and number of grains per spike showed high values as more than 0.62, while broad-sense heritability for culm length, number of spikes per plant, culm diameter, awn length, leaf width, number of grains per spike, and 1000 grain weight showed high values as more than 0.65.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.22 no.2
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• pp.71-79
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• 1977

In order to obtain the basic information on the response of different day-length to heading date and on the inheritance of heading date of barley varieties. the 8 parents F$_1$ diallel crosses were tested with 4 different day-length. Varietal differences in photo-sensitivity were observed and Haganemugi was the most photo-insensitive variety. The inheritance of earliness were appeared to be partial dominance or partial ressesive and the inheritance of photo-insensitivity over photo-sensitivity were controlled by the single ressesive factor.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.21 no.2
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• pp.281-313
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• 1976

To obtain fundamental informations on cotton breeding efficiences for Korea, individual genetic relationships and interrelationships between the agronomic characteristics of Upland cotton were investigated. These experiments were couducted at the Mokpo Branch Station $(34^{\circ}48'N, $ $126^{\circ}23'E$ and altitude of 10m above sea level) from 1969 through 1972. Heterosis, combining ability, dominance and recessive gene action, genetic variance, and phenotypic and genotypic correlation were investigated by $F_1'S$ from an 11-parent partial diallel cross and the segregating $F_2$ and $F_3$ populations of the cross Paymaster times Heujueusseo Trice. The following points resulted from this study, 1. Heteroses for number of bolls per plant and lint yield were significant at 27, 84% and 37.26%, respectively. No other character had significant heteroses. 2. The GCA estimates for all studied characteristics were higher than the SCA estimates. Varieties with high GCA effects were Suwon 1 for earliness, Paymaster and Arijona for high lint percent, and Arijona for long fiber, etc, 3. SCA estimates for lint yield varied widely in crosses with Mokpo 4, Mokpo 6 and Heujueusseo Trice. Those crosses with the highest SCA effects were combinations with large characteristics differences, Example of these crosses are Mokpo 4 times Acala 1517W, Mokpo 4 times D. P. L. and Heujueusseo Trice aud Paymaster. 4. Early-maturing varieties were completely dominant to late-maturing varieties in some combinations while other crosses gave intermediate phenotypes. These results suggest additive genetic action by multi-genes. Heujueusseo Trice, Mokpo 6, and Suwon 1 showed highest degree of dominance for earliness. 5. There were no significant trends for inheritance of weight of boll and 100 seeds weight. 6. Long staple was partially to completely dominant to short staple. Though there were single gene ratios the rate of dominance decreased in the $F_2$ and $F_3$ populations in the cross between the long staple variety Paymaster and the short staple variety Heujueusseo Trice. Diallel cross $F_1$ hybrids showed complicated allelic gene action for staple length. Various dominance degree were shown by varieties. 7. Number of bolls per plant indicated strong over-dominance and small non-allelic additive gene action. 8. Lint Yield was characterized by over-dominance and by multiple non-allelic-gene action. High-yielding varieties were dominant to low-yielding ones. However, the low-yielding variety Heujueusseo Trice showed over-dominance, indicating different reactions according to the varieties and combinations. 9. Broad sense heritability for days to flowering was 34-39% while narrow sense heritability was 11%. Large variations of individual plants caused by Korean climatic conditions cause this situation. Heritability estimates for weight of boll was 30% for broad sense and 22% for narrow sense. 10. Heritability estimates for staple length and lint percent were very high suggesting strong selection effects. 11. Narrow sense heritability estimates for number of bolls per plant was 30% in the diallel cross $F_1$ hybrids and 36% in the $F_2$ population of the special cross. Broad sense heritability was estimated at 67% suggesting that. 12. Heritability estimates for lint yield was low due to high over-dominance in the diallel cross $F_1$ hybrids. Heritability estimates for yield was low in the $F_1$ hybrids but high in the $F_2$ and $F_3$ populations. 13. Phenotypic and genotypic correlations between lint percent and days to flowering and between staple length and days to flowering were high in the $F_1, $ $F_2$ and $F_3$ populations. Late-maturing varieties and individuals had long staple and high lint percent in general. As the correlation between days to flowering and lint yield was extremely low, the two traits were considered independent of each other. Days to flowering and number of bolls per plant were negatively correlated in the $F_3$ population, indicating early-maturing individual plants with many bolls may be readily selected. 14. Phenotypic and genotypic correlations between lint percent and staple length were high in $F_1, $ $F_2$ and $F_3$ populations. Accordingly, long staple varieties were high in lint percent. It was recognized that lint yield and lint percent were positively correlated in the diallel cross $F_1$ hybrids, and lint percent and staple length were positively correlated in the $F_2$ population, indicating that lint percent and staple length affect lint yield. 15. Lint yield was significantly and positively phenotypically correlated with number of bolls per plant in $F_1, $ $F_2$ and $F_3$ populations. A high genotypic correlation was also noted indicating a close genetic relationship. The selection efficiencies for a high-yielding variety can be increased when individual plants with many bolls are selected in later generations. The selection efficiencies for good fiber quality can be enhanced when individuals with long staple and high lint percent are selected in early generations.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.42 no.5
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• pp.626-631
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• 1997

This study was conducted to clarify the genetic effect on the duration of grain filling with using the eight corn inbreds. In diallel cross analysis, the grain filling during the lag period showed partial dominance with great additive effects. Inbreds FR14A and A508 showed greater recessive gene effects for lag period, while FR25 showed greater effects of dominant genes. The genetic analysis for the effective filling period(EFP) showed over dominance without additive gene effects. FR25 of 8 inbreds showed greatest effects of dominant genes for EFP, while YUBC208 showed greater recessive gene effects for EFP than other inbreds. The genetic analysis for total grain filling period(TGFP) seemed to be due to partial dominance with greater additive effects. Early inbred line, YUBC208 especially showed greater recessive gene effects for TGFP than others. No. of effective genes related to EFP and TGFP were estimated by at least 5.

• The Korean Journal of Applied Statistics
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• v.14 no.1
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• pp.59-70
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• 2001

이면교배 실험은 식물이나 동물의 교배를 통해 자식계통의 유전적인 성질을 조사하는데 중용한 역할을 한다. 이면교배에 관한 기존의 연구에서는 p개의 자식계통은 하나의 집합에 속하는 것으로 간주하였다. 이와 달리 새로 육성된 자식계통의 유전적 성질을 평가하고자 하는 경우에는, p개의 자식계통이 각각 p$_1$과 p$_2$개의 자식계통을 갖는 두 개의 집합으로 분리되는 형태의 교배실험을 사용한다(단, p=p$_1$+p$_2$). 이에 본 연구에서는 자식계통이 두 집단으로 분리된 경우에 대해서 Kempthorne의 합동식을 이용하여 두 군간 교배에 대한 블록디자인을 설계하고, 이에 대한 평균효율인자를 계산하는 방법을 제안하고자 한다.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.26 no.4
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• pp.332-336
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• 1981

Seven soybean varieties and 21 F 2 hybrids of a diallel cross among these varieties were used as the materials, and genetic studies were conducted to evaluate the frequency and distribution of genes governing the characters of soybean leaf shapes. Partial dominance was exhibited by petiole length of trifoliates, petiole length of terminal leaflets, length of terminal leaflets, length of lateral leaflets, width of terminal leaflets Mean values of length of terminal leaflet were higher than those of lateral leaflets and length of leaflets were higher than width of leaflets, but mean values of width of terminal leaflets were shorter than those of lateral leaflets.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.30 no.3
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• pp.287-293
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• 1985

Degree of heterosis and gene distributions of several agronomic characters of rice were studied with F$_1$ and F$_2$ generations of 9-parent partial diallel cross in 1983-1984. Degree of heterosis was greater in F$_1$ hybrids than F$_2$ hybrids for culm length, panicle length and number of panicle and the heterobeltiosis could be observed in culm length and number of panicle from several crosses. Incomplete dominance was exhibited by culm length, panicle length and number of panicle in F$_1$ and F$_2$ generations.

• Journal of Sericultural and Entomological Science
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• v.21 no.2
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• pp.1-6
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• 1979

Diallel crosses among six silkworm varieties were used as the materials. by the randomized block design, and diallel cross analyse were conducted to determine the relationships between parents and their F$_1$hybrids. The six parents and their 30 F$_1$crosses were evaluated for five quantitative characters in each female and male silkworms. All methods utilized were similar in detecting lines giving unexpected performance in the F$_1$generation. Mean values of total cocoon weight and weight of cocoon layer of female silkworms were more than those of male silkworms, but mean values of cocoon layer ratio of female silkworms were less than those of male silkworms in both parents and 30 F$_1$hybrids. Over dominance was exhibited by total cocoon weight and weight of cocoon layer, and partial dominance was exhibited by periods (days) of larval stage, periods (days) of 5th instar and cocoon layer ratio (weight of cocoon layer/total cocoon weight). Furthermore, it was recognized that varieties F (Yunil) and E (Kyung-choo) were recommendable varieties as the parents in breeding of silkworms for increasing the total cocoon weight and weight of cocoon layer, etc.