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The heterosis, heterobeltiosis, general combining ability (GCA) and specific combining ability (SCA) were examined during Rabi (crop season) of 2013-2014 in hexaploid wheat genotypes. The experiment for this study was conducted at the Botanical Garden, Department of Plant Breeding & Genetics, Sindh Agriculture University Tandojam, Pakistan. The breeding material was comprised of four parents (Imdad, TD-1, SKD-1, and Moomal). These parents were crossed in half partial mating fashion; thus, six possible cross combinations (
F1s) were obtained (Imdad × TD-1, Imdad × SKD-1, Imdad × Moomal, TD-1 × SKD-1, TD-1 × Moomal, and SKD-1 × Moomal). A three-replicated RCB Design was used. The mean squares corresponding to different traits of various hexaploid wheat genotypes indicated significant (P < 0.01) GCA (parents) and SCA (
F1 hybrids) effects for the characters (plant height, tillers plant
^{-1}, spike length, spikelets spike
^{-1}, seeds spike
^{-1}, seed index, and grain yield plant
^{-1}). The mean performance of
F1 hybrids differed significantly (P < 0.01) for all the traits studied. Among the parents, Imdad and TD-1 proved to be better general combiners for almost all the studied traits. In regards to SCA effects, the F1 hybrids Imdad × TD-1 and Imdad × SKD-1 expressed higher SCA and heterotic effects for most of the studied traits.

Wheat (Tritium aestivum L.) is the most important crop and among the major three cereal crops that provides 20 percent of the total energy requirement in human food [

Pakistan is among top ten wheat producing countries of the world [

Breeding efforts have resulted in various varieties of hexaploid wheat, having improved yield and grain characters. Varieties and advanced lines with different morphological and economic characteristics are now available as breeding stock. For further progress, knowledge of breeding behavior, particularly of combining ability and type of gene action for the various traits, is necessary. The estimates of combining ability variances and effects can give an indication of the relative magnitude of genetic variance. Besides doing haphazard crosses, it is necessary to execute only high performing ones. In this context, combining ability provides a guideline for selecting elite parents and desirable cross combinations to be used in formulation of a systematic breeding project for rapid improvement. Griffing’s approach has been greatly popular among various breeders, indicating greater role of additive gene action in the inheritance of grain yield and its components [

Heterosis is a quicker, cheaper and easier method of increasing crop production. With a sufficient level of heterosis, commercial production of hybrid varieties will be justified, and heterotic studies can provide the basis for the exploitation of valuable hybrid combinations in breeding programs. Hybrid wheat technology can play an effective role in enhancing grain production. Although the presence of heterosis in wheat was earlier reported in 1919 by Freeman, its large scale exploitation had not been realized to recent past. Studies on heterosis would help for generating breeding strategies of hybrid wheat production. Obtaining genetic information from diallel cross progenies is a common practice of plant breeders working with autogamous crops. Insight information about the desirable parental combination is a prerequisite in any plant breeding program, focusing on a high degree of heterotic response [

During breeding programs, it is necessary to select pure lines of high general combining ability that indicate the additive gene effect. On the basis of that, predicting progenies and making choice of cross combinations and genotypes can be carried out. Combining ability investigations are carried out by plant breeders to select parents with efficient transferring desirable genes to the progenies. It is reported that general and specific combining ability effects are very important in constructing the next phase of a breeding program [_{1} generation, and to evaluate the type of gene action involved in yield and its primary components in hexaploid wheat.

Tando Jam is small town located at 25.367˚N latitude and 68.367˚E longitude with an elevation of 13 metres (43 ft.); it is located on the east bank of the Indus River and is roughly 150 kilometres (93 mi) away from Karachi, Pakistan. Tando Jam has with warm conditions year-round. The period from mid-April to late June (before the onset of the monsoon) is the hottest of the year, with highs peaking in May at 41.4˚C (106.5˚F). During this time, winds that blow usually bring along clouds of dust, while the breeze that flows at night is more pleasant. Winters are warm, with highs around 25˚C (77˚F), though lows can often drop below 10˚C (50˚F) at night. The highest temperature of 48.5˚C (119˚F) was recorded on 7 June 1991, while the lowest temperature of 1˚C (34˚F) was recorded on 8 February 2012. In recent years Tando Jam has seen great downpours. In February 2003, it received 105 millimeters (4.13 in) of rain in 12 hours, leaving many dead. The years of 2006 and 2007 saw close contenders to this record rain with death tolls estimated in the hundreds. The highest single-day rain total of 250.7 millimeters (9.87 in) was recorded on 12 September 1962, while the wettest month was September 1962, at 286 millimeters (11.26 in).

A field experiment was conducted during Rabi season of 2012-2013 at the Botanical Garden, Department of Plant Breeding and Genetics, Sindh Agriculture University Tandojam, Pakistan located at (25˚25'60''N 68˚31'60''E). Four bread wheat cultivars (Mehran-89, Imdad-2005, TD-1, and TJ-83) were crossed in half diallel fashion. These four wheat varieties have been developed by Pakistan Agriculture Research Centre, Islamabad, Pakistan. These varieties can adapt different ecological conditions and recommended for different areas of Pakistan. The experiment was laid out in a Randomized Complete Block Design with three replications. The basic agronomic practices i.e. soil conditions, water irrigation, weed control and fertilizer utilization were applied according to standard procedures.

The experimental material was comprised of the following wheat genotypes:

A: Parents

1) Mehran-89;

2) Imdad-2005;

3) TD-1;

4) TJ-83.

B: Cross combinations

1) Mehran-89 × Imdad-2005;

2) Mehran-89 × TD-1;

3) Mehran-89 × TJ83;

4) Imdad-2005 × TD-1;

5) Imdad-2005 × TJ-83;

6) TD-1 × TJ-83.

The row to row and plant to plant space of 30 cm and 15 cm was kept, respectively. Drilling method was used for sowing and after four weeks of sowing thinning was done to maintain 15 cm plant to plant space. Ten plants of each genotype from each replication selected at random were tagged for record the data in the field and laboratory.

The height of each index plant was measured in the centimeters at the time of maturity from the surface of soil to the tip of the each head excluding awns. The number of fertile tillers in each tagged plants per replication per genotype were counted at the time of crop harvest and were recorded as number of tillers plant^{−1}. Length of spike from primary tiller was measured in centimeter from the neck node to the apex of terminal spikelet excluding awns. The number of spikelets in each spike from indexed plants was counted.^{ }One hundred grains were randomly taken from each index plant and were weighed in grams with electric balance. After harvesting, each plant was threshed separately with single plant wheat thresher. The grains were weighed with electric balance and yield plant^{−1} in g was recorded.

The data were subjected to analysis of variance (ANOVA) technique using MSTAT, a computer software package for all the traits studied to test the null hypothesis of no differences between various F_{1s} population and their parental lines. The significant genotypic differences permit the use of simple additive-dominance model. Analysis of variance will be run on the means of the selected plants for above mentioned traits using standard method of [

The diallel technique was adapted for genetic analysis given in “Biometrical Methods in Quantitative Genetic Analysis”.

Heterosis was calculated in terms of percent increase (+) or decrees (−) of the F_{1} and F_{2} hybrids against its mid parent value as suggested [

where:

F_{1} = Mean of the F_{1} cross;

MP = Mid parent.

The term heterobeltiosis, coined [_{1} and F_{2} hybrid over its better parent.

The data were further subjected to “t” test to determine whether F_{1} and F_{2} hybrid means are statically different from mid and better parental values. The “t” values was calculated by the following formula as used [

where:

F_{1ij} = Mean of the ijth F_{1} cross;

MP_{ij} = Mid parent value for the ij^{th} cross;

BP_{ij} = Better parent value for the ij^{th} cross;

EMS = Error means square.

Combining ability analysis:

General combining ability effect (GCA):

where:

g_{i} = General combining ability effects for line I;

n = Number of present/varieties;

Yi = Total of mean values of F_{1s} resulting from crossing i^{th} lines with j^{th} lines;

Y^{2} = Grand total of all the mean values in the table.

Specific combining ability affects (SCA):

where:

S_{ij} = Specific combining ability between i^{th} and j^{th} lines;

Y_{ij} = Mean value of the F_{1} resulting from crossing the i^{th} and j^{th} lines;

Y_{ji} = Mean value for F_{1} resulting from crossing the j^{th} and i^{th} varieties;

Y_{i} = Total of mean values of F_{1}’s resulting from crossing j^{th} line with i^{th} varieties;

Yi = Reciprocal values of Yi;

Y_{j} = Total values for F_{1}’s resulting from crossing the i^{th} line with j^{th} line;

Yj = Values of reciprocal F_{1}’s of Yj;

Y^{2} = Grand total of the observations.

In order to examine the heterosis, heterobeltiosis, general combining ability (GCA) and specific combining ability (SCA) in hexaploid wheat genotypes for different characteristics such as: plant height, tillers plant^{−1}, spike length, spikelets spike^{−1}, seeds spike^{−1}, seed index and grain yield plant^{−1}.^{ }Four parents were crossed in half partial mating fashion; thus six possible cross combinations (F_{1s}) were achieved. The F_{1} hybrids were evaluated by analysis of variance (A NOVA ), mean performance, heterosis/heterobeltiosis, GCA and SCA. The ANOVA and mean performance results are given in ^{−1}, spike length, spikelets spike^{−1}, seeds spike^{−1}, seed index/ 100 seed weight and grain yield plant^{−1}) are given in Tables 3-8. The results regards to GCA and SCA effects for various traits are shown in

The mean squares from the analysis of variance table corresponding to various growth and yield contributing traits of wheat genotypes indicated that the performance of different genotypes for traits studied varied significantly (P < 0.01). It was further found that the SCA of crosses and GCA of parents were significantly (P < 0.01) different for all the characters studied (plant height, tillers plant^{−1}, spikelets spike^{−1}, seeds spike^{−1}, seed index and grain yield plant^{−1}). The results indicated that the data for all the traits examined is useful and can be analyzed further to estimate the general and specific combining ability effects.

The mean performance of parents and F_{1} hybrids of seven traits (plant height, tillers plant^{−1}, spike length, spike

Source of variation | Degrees of freedom | Mean squares | ||||||
---|---|---|---|---|---|---|---|---|

Plant height | Tillers plant^{−1} | Spike length | Spikelets spike^{−1} | Seeds spike^{−1} | Seed index (g) | Grain yield plant^{−1} | ||

Replications | 2 | 1.68 | 0.75 | 0.04 | 1.85 | 0.98 | 0.25 | 0.80 |

Genotypes | 9 | 227.60^{**} | 13.61^{**} | 10.66^{**} | 3.47^{**} | 65.46^{**} | 21.73^{**} | 10.76^{**} |

GCA | 3 | 199.30^{**} | 8.97^{**} | 8.45^{**} | 1.89^{**} | 6.58^{**} | 12.54^{**} | 6.59^{**} |

SCA | 5 | 182.96^{**} | 12.78^{**} | 11.41^{**} | 4.43^{**} | 75.67^{**} | 28.81^{**} | 13.78^{**} |

Error | 19 | 0.654 | 0.2404 | 0.3308 | 1.3305 | 2.7182 | 0.1942 | 0.2973 |

^{**}Highly significant (P < 0.01); ^{*}Significant (P < 0.05).

Parents/F_{1} hybrids | Plant height (cm) | Tillers plant^{−}^{1} | Spike length (cm) | Spikelets spike^{−1} | Seeds spike^{−}^{1} | Seeds index (g) | Grain yield plant^{−}^{1 }(g) | |
---|---|---|---|---|---|---|---|---|

Parents | ||||||||

Imdad | 83.00 a | 13.00 b | 15.47 a | 19.67 a | 64.33 b | 48.13 b | 26.60 b | |

TD-1 | 59.67 d | 14.33 a | 15.87 a | 18.33 b | 63.80 b | 50.80 a | 29.33 a | |

SKD-1 | 67.33 c | 11.33 c | 12.60 b | 20.33 a | 64.80 b | 46.73 c | 26.53 b | |

Moomal | 79.20 b | 9.87 d | 11.87 b | 18.33 b | 69.67 a | 45.20 d | 25.40 c | |

Crosses | ||||||||

Imdad × TD-1 | 61.07 d | 17.60 a | 16.93 a | 20.60 a | 76.27 a | 52.00 a | 30.87 a | |

Imdad × SKD-1 | 72.93 b | 14.80 b | 14.87 b | 19.93 a | 73.67 b | 50.00 b | 29.27 b | |

Imdad × Moomal | 77.93 a | 13.00 c | 13.60 c | 19.67 a | 71.93 b | 48.00 c | 26.93 d | |

TD-1 × SKD-1 | 57.93 e | 14.07 b | 13.87 c | 17.67 b | 70.00 c | 45.00 d | 27.20 c | |

TD-1 × Moomal | 68.27 c | 12.53 c | 16.33 a | 17.67 b | 66.53 d | 45.00 d | 26.40 d | |

SKD1 × Moomal | 73.93 b | 11.87 d | 11.60 d | 19.00 a | 62.40 e | 44.53 d | 24.87 e | |

LSD P < 0.05 | 1.6754 | 0.8411 | 0.9866 | 1.9887 | 2.8282 | 0.7560 | 0.9354 | |

Variety | Seed parent | Pollen parent | Mid parent | Better parent | F_{1} | Heterosis | Heterobeltiosis |
---|---|---|---|---|---|---|---|

Imdad × TD-1 | 83.00 | 59.67 | 71.33 | 83.00 | 61.07 | −14.39 | −26.43 |

Imdad × SKD-1 | 83.00 | 67.33 | 75.17 | 83.00 | 72.93 | −2.97 | −12.13 |

Imdad × Moomal | 83.00 | 79.20 | 81.10 | 79.20 | 77.93 | −3.90 | −1.60 |

TD-1 × SKD-1 | 59.67 | 67.33 | 63.50 | 59.67 | 57.93 | −8.77 | −2.91 |

TD-1 × Moomal | 59.67 | 79.20 | 69.43 | 79.20 | 68.27 | −1.68 | −13.80 |

SKD-1 × Moomal | 67.33 | 79.20 | 73.27 | 79.20 | 73.93 | 0.91 | −6.65 |

Variety | Seed parent | Pollen parent | Mid parent | Better parent | F_{1} | Heterosis | Heterobeltiosis |
---|---|---|---|---|---|---|---|

Imdad × TD-1 | 13.00 | 14.33 | 13.67 | 13.00 | 17.60 | 28.78 | 35.38 |

Imdad × SKD-1 | 13.00 | 11.33 | 12.17 | 13.00 | 14.80 | 21.64 | 13.85 |

Imdad × Moomal | 13.00 | 9.87 | 11.43 | 9.87 | 13.00 | 13.70 | 31.76 |

TD-1 × SKD-1 | 14.33 | 11.33 | 12.83 | 14.33 | 14.07 | 9.61 | −1.86 |

TD-1 × Moomal | 14.33 | 9.87 | 12.10 | 9.87 | 12.53 | 3.58 | 27.03 |

SKD-1 × Moomal | 11.33 | 9.87 | 10.60 | 9.87 | 11.87 | 11.95 | 20.27 |

Variety | Seed parent | Pollen parent | Mid parent | Better parent | F_{1} | Heterosis | Heterobeltiosis |
---|---|---|---|---|---|---|---|

Imdad × TD-1 | 15.47 | 15.87 | 15.67 | 15.47 | 16.93 | 8.09 | 9.48 |

Imdad × SKD-1 | 15.47 | 12.60 | 14.03 | 15.47 | 14.87 | 5.94 | −3.88 |

Imdad × Moomal | 15.47 | 11.87 | 13.67 | 11.87 | 13.60 | −0.49 | 14.61 |

TD-1 × SKD-1 | 15.87 | 12.60 | 14.23 | 15.87 | 13.87 | −2.58 | −12.61 |

TD-1 × Moomal | 15.87 | 11.87 | 13.87 | 11.87 | 16.33 | 17.79 | 37.64 |

SKD-1 × Moomal | 12.60 | 11.87 | 12.23 | 11.87 | 11.60 | −5.18 | −2.25 |

Variety | Seed parent | Pollen parent | Mid parent | Better parent | F_{1} | Heterosis | Heterobeltiosis |
---|---|---|---|---|---|---|---|

Imdad × TD-1 | 19.67 | 18.33 | 19.00 | 19.67 | 20.60 | 8.42 | 4.75 |

Imdad × SKD-1 | 19.67 | 20.33 | 20.00 | 19.67 | 19.93 | −0.33 | 1.36 |

Imdad × Moomal | 19.67 | 18.33 | 19.00 | 18.33 | 19.67 | 3.51 | 7.27 |

TD-1 × SKD-1 | 18.33 | 20.33 | 19.33 | 18.33 | 17.67 | −8.62 | −3.64 |

TD-1 × Moomal | 18.33 | 18.33 | 18.33 | 18.33 | 17.67 | −3.64 | −3.64 |

SKD-1 × Moomal | 20.33 | 18.33 | 19.33 | 18.33 | 19.00 | −1.72 | 3.64 |

Variety | Seed parent | Pollen parent | Mid parent | Better parent | F_{1} | Heterosis | Heterobeltiosis |
---|---|---|---|---|---|---|---|

Imdad × TD-1 | 64.33 | 63.80 | 64.07 | 64.33 | 76.27 | 19.04 | 18.55 |

Imdad × SKD-1 | 64.33 | 64.80 | 64.57 | 64.33 | 73.67 | 14.09 | 14.51 |

Imdad × Moomal | 64.33 | 69.67 | 67.00 | 69.67 | 71.93 | 7.36 | 3.25 |

TD-1 × SKD-1 | 63.80 | 64.80 | 64.30 | 63.80 | 70.00 | 8.86 | 9.72 |

TD-1 × Moomal | 63.80 | 69.67 | 66.73 | 69.67 | 66.53 | −0.30 | −4.50 |

SKD-1 × Moomal | 64.80 | 69.67 | 67.23 | 69.67 | 62.40 | −7.19 | −10.43 |

Variety | Seed parent | Pollen parent | Mid parent | Better parent | F_{1} | Heterosis | Heterobeltiosis |
---|---|---|---|---|---|---|---|

Imdad × TD-1 | 48.13 | 50.80 | 49.47 | 48.13 | 52.00 | 5.12 | 8.03 |

Imdad × SKD-1 | 48.13 | 46.73 | 47.43 | 48.13 | 50.00 | 5.41 | 3.88 |

Imdad × Moomal | 48.13 | 45.20 | 46.67 | 45.20 | 48.00 | 2.86 | 6.19 |

TD-1 × SKD-1 | 50.80 | 46.73 | 48.77 | 50.80 | 45.00 | −7.72 | −11.42 |

TD-1 × Moomal | 50.80 | 45.20 | 48.00 | 45.20 | 45.00 | −6.25 | −0.44 |

SKD-1 × Moomal | 46.73 | 45.20 | 45.97 | 45.20 | 44.53 | −3.12 | −1.47 |

Variety | Seed parent | Pollen parent | Mid parent | Better parent | F_{1} | Heterosis | Heterobeltiosis |
---|---|---|---|---|---|---|---|

Imdad × TD-1 | 26.60 | 29.33 | 27.97 | 26.60 | 30.87 | 10.37 | 16.04 |

Imdad × SKD-1 | 26.60 | 26.53 | 26.57 | 26.60 | 29.27 | 10.16 | 10.03 |

Imdad × Moomal | 26.60 | 25.40 | 26.00 | 25.40 | 26.93 | 3.59 | 6.04 |

TD-1 × SKD-1 | 29.33 | 26.53 | 27.93 | 29.33 | 27.20 | −2.63 | −7.27 |

TD-1 × Moomal | 29.33 | 25.40 | 27.37 | 25.40 | 26.40 | −3.53 | 3.94 |

SKD-1 × Moomal | 26.53 | 25.40 | 25.97 | 25.40 | 24.87 | −4.24 | −2.10 |

Parents | Plant height | Tillers plant^{−1} | Spike length | Spikelets spike^{−1} | Seeds spike^{−1} | Seed index | Grain yield plant^{−1} |
---|---|---|---|---|---|---|---|

Imdad | 4.55 | 0.87 | 0.81 | 0.66 | 1.47 | 1.43 | 0.59 |

TD-1 | −7.34 | 1.11 | 1.23 | −0.50 | −0.22 | 0.98 | 1.07 |

SKD-1 | −1.86 | −0.47 | −0.99 | 0.28 | −1.01 | −0.78 | −0.38 |

Moomal | 4.65 | −1.51 | −1.04 | −0.43 | −0.25 | −1.63 | −1.28 |

S.E.(gi) | 0.20 | 0.10 | 0.12 | 0.66 | 1.47 | 1.43 | 0.59 |

lets spike^{−1}, seeds spike^{−1}, seed index/100 seed weight and grain yield plant^{−1}) were studied and the data (_{1} hybrids, the maximum plant height (77.93 cm) was recorded in cross combination of Imdad × Moomal; while in cross combinations Imdad × SKD-1, SKD-1 × Moomal and TD-1 × Imdad produced plants of 73.93, 72.93 and 68.27 cm, respectively. However, while the minimum plant height (57.93 cm) was recorded in cross combination of TD-1 × SKD-1.

In case of tillering capacity in parents and their F_{1} hybrids, the highest values among the parents for this trait (14.33 plant^{−1}) was obtained TD-1 and minimum (9.87 plant^{−1}) in Moomal; while in F_{1} hybrids, the highest number of tillers plant^{−1} (17.60) was recorded in cross combination of Imdad × TD-1, followed by cross combinations of Imdad × SKD-1 (14.80 plant^{−1}) and TD-1 × SKD-1 (14.07 plant^{−1}); while the minimum number of tillers was observed in cross combination of SKD-1 × Moomal (11.60 plant^{−1}). Similarly, the spike length among the parents was higher i.e. 15.87 cm and 15.47 cm in parents Imdad and TD-1; while minimum (11.87 cm) in Moomal. In F_{1} hybrids, maximum spike length (16.93 cm) was observed in cross combination of Imdad × TD-1, followed by TD-1 × Moomal (16.33 cm) and Imdad × SKD-1 (14.87 cm) while the minimum spike length (11.60 cm) was observed in cross combination of SKD-1 × Moomal.

In case of the trait spikelets spike^{−1}, the highest value among parents was observed in SKD-1 (20.33) and the lowest equally in TD-1 and Moomal (18.33). In F_{1} hybrids, the maximum number of spikelets (20.60 spike^{−1}) was obtained in the cross combination of Imdad × TD-1; followed by cross combinations of Imdad × SKD-1 (19.93), Imdad × Moomal (19.67) and SKD-1 × Moomal (19.00); while the lowest number of spikelets (17.67) spike^{−1} was equally noted in case of crosses TD-1 × SKD-1 and TD-1 × Moomal.

The data on the number of seeds spike^{−1} indicate that the highest value among parents for this trait was observed in Moomal (69.67) and the lowest seeds spike^{−1} was noted in TD-1 (63.80). In F_{1} hybrids, the maximum number of seeds (76.27 spike^{−1}) was noted in the cross combination of Imdad × TD-1; followed by cross combinations of Imdad × SKD-1 (73.67) and Imdad × Moomal (71.93); while the lowest number of seeds (62.40) spike^{−1} was noted in case of cross SKD-1 × Moomal. The seed index value on the basis of 1000 seeds weight among parents was highest (50.80 g) in TD-1 and lowest (45.20 g) in Moomal. Among F_{1} hybrids the highest seed index (52.00 g) was achieved in case of cross combinations of Imdad × TD-1, followed by Imdad × SKD-1 (50.00 g) and Imdad × Moomal (48.00 g); while the lowest seed index value (44.53 g) was obtained in case of the cross combination SKD-1 × Moomal.

For the character grain yield plant^{−1}, among parents the yield plant^{−1} was highest (29.33 g) in SKD-1 and minimum grain yield (25.40 g) was achieved in genotype Moomal. In F_{1} hybrids, the grain yield plant^{−1} was highest (30.87 g) in the cross combination of Imdad × TD-1, followed by the cross combinations of Imdad-2005 × SKD-1 and TD-1 × SKD-1 with average grain yield of 29.27 g and 27.20 g, respectively. However, the lowest seed yield plant^{−1} (24.87 g) was obtained in cross combination of SKD-1 × Moomal.

Heterosis and heterobeltiosis studies on plant height of F_{1} hybrids of hexaploid wheat (_{1} hybrids recorded negative heterotic effects for plant height and the cross Imdad × TD-1 resulted in maximum negative heterosis (14.39%) for plant height; and maximum heterobeltiosis estimate (26.43%) was also recorded in the same cross i.e. Imdad × TD-1 in negative sense for plant height among F_{1} hybrids.

The estimation of heterotic effect calculated for the number of tillers plant^{−1} presented in _{1} hybrids recorded positive heterotic effects for the number of tillers plant^{−1}. The three top scoring F_{1} hybrids were Imdad × TD-1, Imdad × SKD-1 and Imdad × Moomal with relative heterosis of 28.78, 21.64 and 13.70 percent, respectively for the number of tillers plant^{−1}; while the three top scorer F_{1} hybrids for heterobeltiosis were Imdad × TD-1, TD-1 × Moomal and SKD-1 × Moomal with 35.38, 27.03 and 20.27% heterobeltiosis for the number of tillers plant^{−1}, respectively.

There were diverse heterotic effects for spike length as three F_{1} hybrids showed positive heterotic effects and equally three F_{1} hybrids displayed negative heterotic effects. The three top scoring F_{1} hybrids were for positive heterotic effect on spike length were TD-1 × Moomal, Imdad × TD-1 and Imdad × SKD-1with relative heterosis of 17.79, 8.09 and 5.94 percent, respectively; while the three top scorer F_{1} hybrids for heterobeltiosis were TD-1 × Moomal, Imdad × Moomal and Imdad × TD-1 with 37.64%, 14.61% and 9.48% heterobeltiosis for the character spike length in hexaploid wheat.

The heterotic effects of number of spikelets spike^{−1} presented in _{1} hybrids displayed positive heterosis and four F_{1} hybrids showed negative heterotic effect for number of spikelets spike^{−1} character. The positive heterosis was displayed by cross combinations of Imdad × TD-1 (8.42%) and Imdad × Moomal (3.51%); and the negative heterosis was displayed by cross combinations of TD-1 × SKD-1 (−8.62%) and TD-1 × Moomal (−3.64%). The top high scorer F_{1} hybrids for positive heterobeltiosis were Imdad × Moomal, Imdad × TD-1 and SKD-1 × Moomal with 7.27%, 4.75% and 3.64% heterobeltiosis for the number of spikelets spike^{−1}, respectively. Negative heterobeltiosis (−3.64% and −3.64%) was displayed by the cross combinations of TD × SKD-1 and TD-1 × Moomal.

The heterotic effects of number of seeds spike^{−1} presented in _{1} hybrids showed positive heterosis and two F_{1} hybrids displayed negative heterosis for number of seeds spike^{−1} character. The positive heterosis was displayed by cross combinations of Imdad × TD-1 (19.04%), Imdad × SKD-1 (14.09%), Imdad × Moomal (7.36%), TD-1 × SKD-1 (8.86%); and the negative heterosis was displayed by cross combinations of TD-1 × Moomal (−0.30%) and SKD-1 × Moomal (−7.19%). The top high scorer F_{1} hybrids for positive heterobeltiosis were Imdad × ID-1, Imdad × SKD-1 and TD-1 × SKD-1 with 18.55%, 14.51% and 9.72% heterobeltiosis for the number of seeds spike^{−1}, respectively. Negative heterobeltiosis (−10.50% and −4.50%) was displayed by the cross combinations of SKD-1 × Moomal and TD-1 × Moomal.

The study results on the heterotic effects of seed index value for six F_{1} hybrids are given in _{1} hybrids, three F_{1} hybrids showed positive heterotic and heterobeltiosis effects and equally three hybrids displayed negative heterosis and heterobeltiosis for seed index character. The higher relative heterosis was displayed by cross combinations of Imdad × TD-1 (5.12%) and Imdad × SKD-1 (5.41%); while the higher negative heterosis was displayed by the cross combinations of TD-1 × SKD-1 (7.72%) and TD-1 × Moomal (6.25%). The top high scorer F_{1} hybrids for heterobeltiosis were Imdad × TD-1, Imdad × Moomal and Imdad × SKD-1 with 8.03%, 6.19% and 3.88% heterobeltiosis for the seed index, respectively.

The results in regards to heterotic effects for seed yield plant^{−1} in six F_{1} hybrids are presented in _{1} hybrids in hexaploid wheat, three F_{1} hybrids showed positive heterotic effects and remaining three F_{1} hybrids displayed negative heterosis and heterobeltiosis for seed yield plant^{−1}. The higher relative heterosis was displayed by cross combinations of Imdad × TD-1 (10.37%) and Imdad × SKD-1 (10.16%); while the lower relative heterosis was displayed by the cross combination of Imdad × Moomal (3.59%) for seed yield plant^{−1}. The top high scorer F_{1} hybrids for heterobeltiosis were Imdad × TD-1, Imdad × SKD-1 and Imdad × Moomal with 16.04%, 10.03% and 6.04% heterobeltiosis for the seed yield plant^{−1}, respectively.

The mean squares from the analysis of variance (_{1} hybrids. The data in relation to GCA in four parents for various traits of economic importance including yield plant^{−1} are presented in _{1} hybrids for different traits are presented in

The results in regards to GCA effects as exhibited by _{1} hybrids SKD-1 × Moomal, TD-1 × Moomal and Imdad × SKD-1 demonstrated positive SCA effects of 1.02, 0.83 and 0.12, respectively; while the hybrids Imdad × TD-1, TD-1 × SKD-1 and Imdad × Moomal demonstrated the negative SCA effects of −6.27, −2.99 and −1.39, respectively.

The GCA effects presented in ^{−1} of hexaploid wheat revealed that among the parents, TD-1 and Imdad demonstrated maximum positive GCA effects of 1.11 and 0.87; whereas the negative GCA effects were expressed by the parents Moomal (−1.51) and SKD-1 (−0.47). In case of SCA effects, (_{1} hybrids Imdad × TD-1 demonstrated maximum positive CGA effects (2.38), and hybrid Imdad × SKD-1 ranked second for positive SCA effects (1.16); while hybrid TD-1 × Moomal demonstrated negative SCA effects of 0.31 for the number of tillers plant^{−1}.

Crosses | Plant height | Tillers plant^{−1} | Spike length | Spikelets spike^{−1} | Seeds spike^{−1} | Seed index | Grain yield plant^{−1} |
---|---|---|---|---|---|---|---|

Imdad × TD-1 | −6.27 | 2.38 | 0.60 | 1.32 | 6.67 | 2.05 | 1.86 |

Imdad × SKD-1 | 0.12 | 1.16 | 0.76 | −0.12 | 4.86 | 1.82 | 1.72 |

Imdad × Moomal | 0.40 | −0.47 | 0.32 | 2.37 | 0.66 | 0.28 | |

TD-1 × SKD-1 | −2.99 | 0.18 | −0.67 | −1.23 | 2.88 | −2.74 | −0.83 |

TD-1 × Moomal | 0.83 | −0.31 | 1.84 | −0.52 | −1.34 | −1.90 | −0.73 |

SKD-1 × Moomal | 1.02 | 0.60 | −0.67 | 0.04 | −4.68 | −0.60 | −0.81 |

S.E. (si) | 0.48 | 0.24 | 0.28 | 0.57 | 0.82 | 0.22 | 0.27 |

The data shown in

The results for GCA effects presented in ^{−1} of hexaploid wheat indicated that among the parents, Imdad and SKD-1 produced positive GCA effects of 0.66 and 0.28, respectively; whereas parents Moomal and SKD-1 exhibited negative GCA effects of −0.50 and −0.43, respectively. In case of F_{1} hybrids, three hybrids i.e. Imdad × TD-1 (1.32), Imdad × Moomal (0.32) and SKD-1 × Moomal (0.04) manifested positive SCA effects; while other three hybrids TD-1 × SKD-1 (−1.23), TD-1 × Moomal (-0.52) and Imdad × SKD-1 (−0.12) demonstrated negative SCA effects on the number of spikelets spike^{−1}.

The GCA effects tabulated as ^{−1} of hexaploid wheat demonstrated that among the parents, Imdad expressed positive GCA effects of 1.47; whereas parents SKD-1, Moomal and TD-1 demonstrated negative GCA effects of −1.01, −0.25 and −0.22, respectively. In case of F_{1} hybrids, four F_{1} hybrids including Imdad × TD-1 (6.67), Imdad × SKD-1 (4.86), TD-1 × SKD-1 (2.88) and Imdad × Moomal (2.37) expressed positive SCA effects; while remaining two F_{1} hybrids SKD-1 × Moomal (−4.68) and TD-1 × Moomal (−1.34) illustrated negative SCA effects on the number of seeds spike^{−1} trait.

It is obvious from the results presented in _{1} hybrids manifested positive SCA effects while other three gave negative SCA effects. The three top scoring hybrids were Imdad × TD-1 (2.05), Imdad × SKD-1 (1.82) and Imdad × Moomal (0.66). However, the negative SCA effects were manifested by hybrids TD-1 × SKD-1 (−2.74), TD-1 × Moomal (−1.90) and SKD-1 × Moomal (−0.60).

The GCA effects tabulated as ^{−1}. The data in ^{−1} were Imdad × TD-1 (1.86), Imdad × SKD-1 (1.72) and Imdad × Moomal (0.28). The negative SCA effects were manifested by hybrids TD-1 × SKD-1 (−0.83), SKD-1 × Moomal (−0.81) and TD-1 × Moomal (−0.73).

The heterosis, heterobeltiosis, GCA and SCA of hexaploid wheat genotypes were examined during the Rabi season of 2013-14 for various traits of economic importance such as: plant height, tillers plant^{−1}, spike length, spikelets spike^{−1}, seeds spike^{−1}, seed index and grain yield plant^{−1}.^{ }Four parents (Imdad, TD-1, SKD-1, Moomal) were crossed in half partial mating fashion; thus six possible cross combinations (F_{1s}) were obtained (Imdad×TD-1, Imdad×SKD-1, Imdad × Moomal, TD-1 × SKD-1, TD-1 × Moomal and SKD-1 × Moomal). The results of the study are discussed as follows:

All the F_{1} hybrids recorded negative heterotic effects for plant height and the cross Imdad × TD-1 resulted in maximum negative heterosis (14.39%) for plant height; and maximum heterobeltiosis estimate (26.43%) was also recorded in the same cross i.e. Imdad × TD-1 in negative sense for plant height among F_{1} hybrids. These results are further confirmed by [

The three top scoring F_{1} hybrids were Imdad × TD-1, Imdad × SKD-1 and Imdad × Moomal with relative heterosis of 28.78, 21.64 and 13.70 percent, respectively for the number of tillers plant^{−1}; while the three top scorer F_{1} hybrids for heterobeltiosis were Imdad × TD-1, TD-1 × Moomal and SKD-1 × Moomal with 35.38%, 27.03% and 20.27% heterobeltiosis for the number of tillers plant^{−1}, respectively. The above results are in accordance with those of [^{−1} in wheat genotypes [

There were diverse heterotic effects for spike length as three F_{1} hybrids showed positive heterotic effects and equally three F_{1} hybrids displayed negative heterotic effects. The three top scoring F_{1} hybrids were for positive heterotic effect on spike length were TD-1 × Moomal, Imdad × TD-1 and Imdad × SKD-1with relative heterosis of 17.79%, 8.09% and 5.94%, respectively; while the three top scorer F_{1} hybrids for heterobeltiosis were TD-1 × Moomal, Imdad × Moomal and Imdad × TD-1 with 37.64%, 14.61% and 9.48% heterobeltiosis for the character spike length in hexaploid wheat. These results are in agreement with the findings reported by [_{1} hybrids of wheat for spike length [

Two F_{1} hybrids displayed positive heterosis and four F_{1} hybrids showed negative heterotic effect for number of spikelets spike^{−1} character. The positive heterosis was displayed by cross combinations of Imdad × TD-1 (8.42%) and Imdad × Moomal (3.51%); and the negative heterosis was displayed by cross combinations of TD-1 × SKD- 1 (−8.62%) and TD-1 × Moomal (-3.64%). The top high scorer F_{1} hybrids for positive heterobeltiosis were Imdad × Moomal, Imdad × TD-1 and SKD-1 × Moomal with 7.27%, 4.75% and 3.64% heterobeltiosis for the number of spikelets spike^{−1}, respectively. Negative heterobeltiosis (−3.64% and −3.64%) was displayed by the cross combinations of TD × SKD-1 and TD-1 × Moomal. Similar results have also been reported positive heterosis for various F_{1} hybrids in wheat for spikelets per spike [

The positive heterosis was displayed by cross combinations of Imdad × TD-1 (19.04%), Imdad × SKD-1 (14.09%), Imdad × Moomal (7.36%), TD-1 × SKD-1 (8.86%); and the negative heterosis was displayed by cross combinations of TD-1 × Moomal (−0.30%) and SKD-1 × Moomal (−7.19%). The top high scorer F_{1} hybrids for positive heterobeltiosis were Imdad × ID-1, Imdad × SKD-1 and TD-1 × SKD-1 with 18.55%, 14.51% and 9.72% heterobeltiosis for the number of seeds spike^{−1}, respectively. Negative heterobeltiosis (−10.50% and −4.50%) was displayed by the cross combinations of SKD-1 × Moomal and TD-1 × Moomal. It is also reported diversified heterotic effects of parents and their F_{1 }hybrids for seeds spike^{−1} [_{ }

The higher relative heterosis was displayed by cross combinations of Imdad × TD-1 (5.12%) and Imdad × SKD- 1 (5.41%); while the higher negative heterosis was displayed by the cross combinations of TD-1 × SKD-1 (7.72%) and TD-1 × Moomal (6.25%). The top high scorer F_{1} hybrids for heterobeltiosis were Imdad × TD-1, Imdad × Moomal and Imdad × SKD-1 with 8.03%, 6.19% and 3.88% heterobeltiosis for the seed index, respectively. These results are in concurrence with and achieved significant variation in relative heterosis by different cross combinations of wheat genotypes for seed index value [

The higher relative heterosis was displayed by cross combinations of Imdad × TD-1 (10.37%) and Imdad × SKD-1 (10.16%); while the lower relative heterosis was displayed by the cross combination of Imdad × Moomal (3.59%) for seed yield plant^{−1}. The top high scorer F_{1} hybrids for heterobeltiosis were Imdad × TD-1, Imdad × SKD-1 and Imdad × Moomal with 16.04%, 10.03% and 6.04% heterobeltiosis for the seed yield plant^{−1}, respectively. The results of the present research are in accordance and reported significant variation in the heterosis among cross combinations for seed yield in wheat breeding programs [

The GCA effects on plant height of hexaploid wheat illustrate that among the parents; most positive GCA effects were produced by Moomal (4.65) and Imdad (4.55); while parent TD-1 expressed most negative GCA effects of −7.34. In respect to SCA effects (_{1} hybrids SKD-1 × Moomal, TD-1 × Moomal and Imdad × SKD-1 demonstrated positive SCA effects of 1.02, 0.83 and 0.12, respectively; while the hybrids Imdad × TD-1, TD-1 × SKD-1 and Imdad × Moomal demonstrated the negative SCA effects of −6.27, −2.99 and −1.39, respectively. Positive GCA effects among parents and F_{1} hybrids have also been reported in their respective breeding studies on wheat genotypes [

The GCA effects on mean number of tillers plant^{−1} of wheat revealed that among the parents, TD-1 and Imdad demonstrated maximum positive GCA effects of 1.11 and 0.87; whereas the negative GCA effects were expressed by the parents Moomal (−1.51) and SKD-1 (−0.47). In case of SCA effects (_{1} hybrids Imdad × TD-1 demonstrated maximum positive CGA effects (2.38), and hybrid Imdad × SKD-1 ranked second for positive SCA effects (1.16); while hybrid TD-1 × Moomal demonstrated negative SCA effects of 0.31 for the number of tillers plant^{−1}. The results of the present study in regards to tillers per plant are in agreement with and found positive GCA effects for parents and high SCA effects for hybrids in wheat [

Among the parents, TD-1 and Imdad expressed positive GCA effects of 1.23 and 0.81, respectively; whereas parents Moomal and SKD-1 exhibited negative GCA effects of −1.04 and −0.99, respectively. From diallel crosses, three hybrids i.e. TD-1 × Moomal (1.84), Imdad × SKD-1 (0.76) and Imdad × TD-1 (0.60) manifested positive SCA effects; while other three hybrids SKD-1 × Moomal (−0.67), TD-1 × SKD-1 (−0.67) and Imdad × Moomal (−0.47) demonstrated negative SCA effects on the spike length. The results of the present study are further in line with [

The GCA effects on number of spikelets spike^{−1} showed that among parents, Imdad and SKD-1 produced positive GCA effects of 0.66 and 0.28, respectively; whereas parents Moomal and SKD-1 exhibited negative GCA effects of -0.50 and −0.43, respectively. In case of F_{1} hybrids, three hybrids i.e. Imdad × TD-1 (1.32), Imdad × Moomal (0.32) and SKD-1 × Moomal (0.04) manifested positive SCA effects; while other three hybrids TD-1 × SKD-1 (−1.23), TD-1 × Moomal (−0.52) and Imdad × SKD-1 (−0.12) demonstrated negative SCA effects on the number of spikelets spike^{−1}. The results are in similarity with the findings of the present research for the number of spikelets per spike [

The GCA effects pertaining to number of seeds spike^{−1} demonstrated that among the parents, Imdad expressed positive GCA effects of 1.47; whereas parents SKD-1, Moomal and TD-1 demonstrated negative GCA effects of −1.01, −0.25 and −0.22, respectively. In case of F_{1} hybrids, four F_{1} hybrids including Imdad × TD-1 (6.67), Imdad × SKD-1 (4.86), TD-1 × SKD-1 (2.88) and Imdad × Moomal (2.37) expressed positive SCA effects; while remaining two F_{1} hybrids SKD-1 × Moomal (−4.68) and TD-1 × Moomal (−1.34) illustrated negative SCA effects on the number of seeds spike^{−1} trait. These results are further confirmed and diversified GCA effects and SCA effects and expressed the genetic makeup of parental material plays major role to develop positive combining abilities among parents and their crosses [

Among the parents, Imdad and TD-1 expressed the positive GCA effects of 1.43 and 0.98, respectively for seed index value; whereas the other parent including Moomal (−1.63) and SKD-1 (−0.78) displayed negative GCA effects for seed index value. From six diallel crosses of hexaploid wheat, three F_{1} hybrids manifested positive SCA effects while other three gave negative SCA effects. The three top scoring hybrids were Imdad × TD-1 (2.05), Imdad × SKD-1 (1.82) and Imdad × Moomal (0.66). However, the negative SCA effects were manifested by hybrids TD-1 × SKD-1 (−2.74), TD-1 × Moomal (−1.90) and SKD-1 × Moomal (−0.60). These findings are further confirmed and were of the conclusion that F_{1} hybrids manifested positive SCA for seed index in wheat genotypes in their breeding programs [

The parent TD-1 and Imdad expressed positive GCA effects of 1.07 and 0.59, respectively; while Moomal (−1.28) and SKD-1 (−0.38) showed negative GCA effects for grain yield plant^{−1}. The data in ^{−1} were Imdad × TD-1 (1.86), Imdad × SKD-1 (1.72) and Imdad × Moomal (0.28). The negative SCA effects were manifested by hybrids TD-1 × SKD-1 (−0.83), SKD-1 × Moomal (−0.81) and TD-1 × Moomal (−0.73). Similar results in regards to yield per plant of wheat for SCA among F_{1} hybrids have also been reported [

The heterosis, heterobeltiosis, general combining ability (GCA) and specific combining ability (SCA) were examined in hexaploid wheat genotypes for various traits of economic importance, including plant height, tillers plant^{−1}, spike length, spikelets spike^{−1}, seeds spike^{−1}, seed index, and grain yield plant^{−1}. Four parents (Imdad, TD-1, SKD-1, and Moomal) were crossed in half partial mating fashion; thus, six possible cross combinations (F_{1s}) were obtained (Imdad × TD-1, Imdad × SKD-1, Imdad × Moomal, TD-1 × SKD-1, TD-1 × Moomal, and SKD-1 × Moomal). The F_{1} hybrids were statistically analyzed using analysis of variance (A NOVA ). The mean performance of parents and F_{1} hybrids was presented, while heterosis, heterobeltiosis, GCA and SCA were also calculated. The experimental results revealed significant (P < 0.01) GCA (parents) and SCA (F_{1} hybrids) effects for the characters plant height, tillers plant^{−1}, spike length, spikelets spike^{−1}, seeds spike^{−1}, seed index, and grain yield plant^{−1}. In view of the above hypothesis, the data obtained from this study are considered to be useful, which can be used to estimate the heterosis and combining ability effects.