Introduction

Wheat (Triticum aestivum L.) is the main cereal crop of the world, followed by maize and rice, and is considered the ‘King of the Cereal’ because of its growing demand and evolution record [1, 2]. In Pakistan, it is ranked as the first cereal crop concerning its consumption, nutritional value, manufacturing, storage quality, variation, and world’s food grain business [3]. During 2022-2023, in Pakistan, wheat was grown in an area of 9.040 million ha, which produced 28.18 million tons with an average grain yield of 2983 kg ha-1. To cope with the food demand of the growing population of Pakistan, it is important to increase the per unit yield by developing new wheat genotypes with high-yielding ability and the best baking quality.

Combining ability analysis is a useful tool in the identification of the parental cultivars using general combining ability (GCA) and their potential recombinant (F1 hybrids) by specific combining ability (SCA). In line by tester combining ability analysis, the parental lines and testers are crossed, and the promising and poor-performing general combiners and specific cross combinations can be sorted through SCA and GCA effects. General combining ability is defined as the average performance of genotypes in any cross combination; while specific combining ability indicates when the hybrids are better or poor performers based on their average performance in hybrid combinations. Thus, the SCA is essential for hybrid crop development, whereas the GCA is the identification of the best parent for hybridization [4]. Therefore, line × tester combining ability analysis is an appropriate breeding approach for desirable parental genotypes and their F1 hybrids.

Using hybridization for varietal development is considered laborious and time-consuming. Therefore, the use of combining ability analysis for cultivar development in wheat is regarded as an imperative technique. The significance of both SCA and GCA variances is indicative of additive and dominant gene actions. Positive GCA effects are more important for grain yield and yield-associated traits in wheat [5, 6].

Heritability serves as a measure of the transmissibility of genes from parents to their progenies and is therefore used as an important tool in plant breeding for the selection process [7]. There is a direct relation between heritability and selection response; hence, the correlation between heritability and selection is regarded as genetic progress [8]. Similarly, the desired response to selection is also called genetic gain. High heritability and genetic gain are considered to be very effective for selection in breeding programs [9]. Phenotypic and genotypic coefficients of the variation, heritability, and genetic advance are used to know the level of variation in the wheat breeding material. Therefore, the wheat breeder needs to know the genetic variability and heritability of the imperative agronomic traits to increase yield effectively [10].

Grain yield is a complex polygenic trait; therefore, selection based on the genotypic performance of grain yield is not sufficient, as both physiological and morphological traits must be taken as the indirect selection criterion for yield improvement. The interrelationship of the traits and direct and indirect traits must be understood before launching a breeding program [11]. However, due to the polygenic control of the traits, these traits are influenced to a greater extent by the environment.

The correlation coefficient plays a significant role in the evaluation in terms of strength, direct and indirect effects on grain yield, and its contributing yield traits. Easily inheritable traits have high heritability and have a useful association with grain yield and therefore are regarded as useful tools in plant breeding. Therefore, grain yield was found to have a positive association with the plant height, spike length, and 1000-grain weight in diallel crosses [12]. Phenotypic and genotypic correlations of the plant height and 1000-grain weight were significantly positive with the grain yield in late and normal planting [13]. The present study was therefore carried out with the following objectives: – Genetic potential of parental lines, testers, and their

F2 populations for various studied traits – GCA and SCA effects for lines, testers, and L × T F2

populations for various traits – Best general and specific combiners, which could be

used as a source material for further improvement in

various traits of wheat – Heritability and genetic gain for morphological and

yield-related traits in wheat.

Experimental Methods

Experimental Site

The research work about the present study of the genetic potential and line × tester combining ability in the parental and their F2 populations in wheat was carried out at the National Agricultural Research Center, Islamabad, Pakistan.

Breeding Material and Procedure

The breeding material was procured from the Wheat Breeding Section, Cereal Crops Research Institute (CCRI), Pirsabak-Nowshera, Pakistan. The genetic material comprising of seven advanced wheat lines, i.e., 2768, 2769, 2785, 2805, 2806, 2835, and 2836 (obtained from IBWSN-International Bread Wheat Screening Nursery, CIMMYT-Mexico), was used as female parents, whereas three locally existing wheat cultivars (Pirsabak-2013, Shahkar-2013, and Punjab-2011) were considered as testers (Table 1). After advancing the generation, the seven lines and three testers’ cultivars, along with 21 F2 populations, were sown in a Randomized Complete Block Design (RCBD) with three replications at the University of Agriculture, Peshawar, Pakistan. Each entry was grown in four rows with four meters of length. Row-to-row and plant-to-plant distances were kept at 30 and 15 cm, respectively. All the agronomic practices and inputs, i.e., land preparation, hoeing, weeding, fertilizing, and irrigation, were adopted uniformly to reduce the experimental error. Weeds were controlled by spraying the post-broad and narrow-leaf herbicides manually. Data were recorded on 10 randomly chosen plants from each subplot for the following parameters.

The tillers were counted in selected plants in each genotype to get tillers per plant. The flag leaf area (cm2) of the ten randomly chosen plants in every genotype/ replication is determined using the following formula [14].

Flag leaf area=leaf length×leaf width×0.75

Ten spikes were taken from randomly selected plants in every subplot/replication and were hand-threshed to count grains per spike. 1000 grains (g) were taken randomly from each genotype in each replication and weighted by an electric balance to determine the 1000-grain weight in grams. The biological yield was recorded in grams by harvesting and drying the selected plants from every plot/replication. Grain yield per plant was recorded in grams after threshing plants from each genotype separately.

Statistical Analysis

Analysis of Variance

Earlier to line × tester analysis, all recorded data was subject to the analysis of variances (ANOVA) to determine the differences between the genotypes for various traits (Steel et al., 1997). All the genotypic means for every parameter were separated and compared using the least significant differences (LSD) test at a 5% level of probability.

Line × Tester Analysis

Line × Tester analysis was conducted by following [15] to ascertain the variances suitable to the GCA and SCA for genotypes and gene action involved for various traits. In the current analysis, seven genotypes were used as female parents, of whom emasculation was done manually, whereas, three genotypes were kept as male parents, whose pollen grains were dusted onto the emasculated lines. On maturity, 21 cross combinations were harvested very carefully. The line × tester combining ability analysis is considered the most reliable method in inheritance studies for understanding the genetic effect involved in the inheritance of any specific trait from parents to their offspring. The traits may either be controlled by additive or non-additive gene actions.

The combining ability effects of lines, testers, and hybrids were checked using the following formulas:

Estimations of GCA Effects:

a) Lines

GI=(Xi...)tr−(X...)ltr

b) Testers

Gt=(Xj...)lr−(X...)ltr

Estimations of SCA Effects:

Sij=(Xij)r−(Xi..)tr−(Xj..)lr+(X..)ltr

The standard Error for Combining Ability Effects

a) Standard error (SE) for GCA effects of the line = MSSe/rm

b) Standard error (SE) for GCA effects of the tester = MSSe/rf

c) Standard error (SE) for the SCA effects = MSSe/r

Gene action: Gene actions for various traits under evaluation were computed following Singh and Chaudhary (1985) [16].

The proportional contribution of line, tester, and L × T interactions

Lines=ss(l)×100ss(crosses)
Testers=ss(t)×100ss(crosses)
L×T Interaction=ss(l×t)×100ss(crosses)

Estimation of Genetic Parameter

Genotypic and phenotypic variance, genotypic (GCV) and phenotypic coefficient of variance (PCV), heritability, and genetic gain were computed using:

Genetic variance (Vg)=Genotypes mean squares(GMS)−Error mean squares(EMS)Number of replications(r)
Evironmental variance (Ve)=Error mean squares(EMS)
Phenotypic variances (Vp)=Vg+Ve
Table 1.

Pedigree of parental lines and testers used in line × tester mating designs.

S. No.Line / Tester codeSource / InstituteParentage
Lines
12768IBWSN entry-11 (2013-14) (CIMMYT - Mexico)ALTAR 84/AE.SQUARROSA (221)//3*BORL95/3/URES/JUN//KAUZ/4/WBLL1/5/MUTUS
22769IBWSN entry- 13 (2013-14) (CIMMYT - Mexico)CHIBIA//PRLII/CM65531/3/SKAUZ/BAV92/4/MUNAL #1
32785IBWSN entry- 223 (2013-14) (CIMMYT - Mexico)BECARD#1/5/KIRITATI/4/2*SERI.1B*2/3/KAUZ*2/BOW//KAUZ
42805PR-105 (CCRI, Pirsabak -Nowshera)MILAN/S87230//BABAX
52806PR-108 (CCRI, Pirsabak -Nowshera)WHEAR/KRONSTAD F 2004
62835PR-114 (CCRI, Pirsabak -Nowshera)WHEAR/ KRONSTAD F2004
72836NR-390 (NARC - Islamabad)KIRITATI/4/2*SERI.1B*2/3/KAUZ*2/BOW//KAUZ
Testers
8Pirsabak-2013CCRI, Pirsabak – NowsheraCS/TH.SC//3*PVN/3/MIRLO/BUC/4/MILAN /5/TILHI
9Shahkar-2013CCRI, Pirsabak – NowsheraCMH84.3379/CMH78.578//MILAN
10Punjab-2011AARI – FaisalabadAMSEL/ATTILA × INQ.91/ PEWS
Line × Tester - F2 Populations
L × T F2 PopulationsS. No.L × T F2 Populations
112768 × Pirsabak-2013222805 × Punjab-11
122768 × Shahkar-2013232806 × Pirsabak-2013
132768 × Punjab-11242806 × Shahkar-2013
142769 × Pirsabak-2013252806 × Punjab-11
152769 × Shahkar-2013262835 × Pirsabak-2013
162769 × Punjab-11272835 × Shahkar-2013
172785 × Pirsabak-2013282835 × Punjab-11
182785 × Shahkar-2013292836 × Pirsabak-2013
192785 × Punjab-11302836 × Shahkar-2013
202805 × Pirsabak-2013312836 × Punjab-11
212805 × Shahkar-2013--

[i] IBWSN: International Bread Wheat Screening Nursery; CIMMYT: International Maize and Wheat Improvement Center; CCRI: Cereal Crops Research Institute; NARC: National Agriculture Research Center; AARI: Ayub Agricultural Research Institute.

Heritability (h2) on entry means base calculated as:

h2=VgVp

The expected response to the selection (Re) for every trait was calculated:

Where:

k = 20% selection intensity of the trait.

VP = Phenotypic variances of traits.

h2 = Broad sense heritability of traits.

Genotypic coefficient of the variations GCV = √Vg /GM × 100

Phenotypic coefficient of the variations PCV = √VP /GM × 100

Where:

Vg = Genotypic variances

VP = Phenotypic variances

GM = Grand mean of the traits

Results

Analysis of Variance

Analysis of the variance showed significant (p≤0.01) differences among the wheat parental lines, testers, and F1 populations for all the studied traits (Table 2). Hence the overall genetic variability was further partitioned into its components, i.e., combining ability (GCA and SCA) effects through line-by-tester analysis. Ahmad et al. (2017) conducted a study to estimate GCA, SCA, and heritability of wheat yield and yielding attributes parameters through L × T combining ability and observed significant differences among the genotypes of all the studied parameters [17].

Mean Performance of Lines, Testers, and L × T F2 Populations

Tillers per Plant

Tillers per plant among lines varied from 11.80 (line 2806) to 16.83 (line 2768); among testers, the tillers per plant ranged from 13.00 (Pirsabak-2013, Shahkar-13) to 15.4 (Punjab-2011), whereas in their F2 populations, they varied from 11.6 (2835× Pirsabak-2013) to 16.1 (2768 × Punjab-11) (Table 3). On the whole, the highest tillers per plant were recorded for line 2768 (16.8), followed by another line 2785 (16.2) and F2 population 2765 × Punjab-11. However, minimum tillers per plant were observed in F2 population 2835 × Pirsabak-13 followed by line 2806 (11.80), and F2 population 2805 × Shahkar-13 (12.4). The remaining genotypes including testers, lines, and F2 populations showed average tillers per plant.

Flag Leaf Area

Flag leaf area ranged from 31.7 (line 2768) to 36.1 cm2 (line 2769) among lines; testers ranged from 32.9 (Punjab-11) to 36.1 cm2 (Shahkar-13) while their F2 populations varied from 31.0 (2769 × Punjab-11) to 36.3 cm2 (2805 × Pirsabak-13) (Table 3). On the whole, the increased flag leaf area was recorded for F2 population 2805 × Pirsabak-13 (36.3 cm2), followed by one F2 population, i.e., 2769 × Shahkar-13, line 2768 (36.1 cm2), and two testers, Punjab-11 (36.1 cm2) and Pirsabak-13 (35.9 cm2). Minimum flag leaf areas were found in the F2 population 2769 × Punjab-11 (31.0 cm2), followed by the F2 population 2768 × Punjab-11 (31.5 cm2) and line 2768 (31.7 cm2). However, other lines, testers, and F2 populations showed average flag leaf area.

Table 2.

Mean squares for various traits in lines, testers, and F2 populations were studied through line × tester combining ability in the wheat.

SOVDFFlag leaf areaTillers plant-1Grains spike-11000-grain weightBiological yield plant-1Grain yield plant-1
Replications20.210.441.440.4969.490.53
Genotypes307.20**4.79**87.2886.66**162.42**23.77**
Parents96.89**7.82**78.3365.08**147.07**18.45**
Crosses208.69**2.92**65.0865.12**173.59**27.15**
Lines615.22*2.73NS67.41108.29**223.15NS20.46NS
Testers29.21NS4.91NS60.11115.67*368.60*22.42NS
Line × Tester125.33**2.68**64.7435.11**116.32**31.28**
Error600.180.261.400.8416.121.55
CV%-1.263.772.042.345.473.63

[i] **, * = Significant at 1% and 5% levels of probability; N.S = Non Significant; CV = Coefficient of the variation.

Grains per Spike

Grains per spike varied from 52.0 (line 2768) to 68.0 (line 2835) among lines; testers ranged from 57.5 (Shahkar-13) to 63.3 (Punjab-11), while their F2 populations varied from 48.2 (2768 × Shahkar-13) to 68.3 (2835 × Pirsabak-13) (Table 4). On the whole, the highest grains per spike were recorded for the F2 population 2835 × Pirsabak-13 (68.3), followed by lines 2835 (68.0) and 2785 (67.0). Minimum grains per spike were observed in the F2 population 2768 × Shahkar-13 (48.2), followed by the F2 population 2836 × Shahkar-13 (49.3), and line 2768 (52.0). However, other lines, testers, and F2 populations revealed average grains per spike.

1000-Grain Weight

The 1000-grain weight varied from 29.9 (line 2836) to 46.5 g (line 2835) among lines; testers ranged from 33.5 (Shahkar-13) to 37.5 g (Pirsabak-13), whereas their F2 populations varied from 33.2 (2785 × Punjab-11) to 49.7 g (2835 × Pirsabak-13) (Table 4). Generally, the highest 1000-grain weights were recorded for F2 population 2835 × Pirsabak-13 (49.7 g), followed by F2 population 2769 × Punjab-11 (48.8 g), and line 2835 (46.5 g). Minimum 1000-grain weights were observed in line 2836 (29.9 g), followed by two other lines, i.e., 2785 (31.6 g) and 2805 (32.1 g). In the present study, the remaining lines, testers, and F2 populations revealed average values for 1000-grain weight.

Biological Yield per Plant

Biological yield per plant ranged from 62.7 (line 2805) to 82.8 g (line 2785) among lines; testers ranged from 61.7 (Pirsabak-13) to 79.4 g (Punjab-11), while their F2 populations ranged from 64.0 (2768 × Shahkar-13) to 90.6 g (2806 × Shahkar-13) (Table 4). Overall, the highest biological yield per plant was recorded for the F2 population 2806 × Shahkar-13 (90.6 g), followed by the F2 population 2805 × Shahkar-13 (88.9 g) and line 2785 (88.8 g). Minimum biological yield per plant was manifested by tester Pirsabak-13 (61.7 g), followed by lines 2805 (62.7 g), and F2 population 2768 × Shahkar-13 (64.0 g). However, other genotypes including, lines, testers, and F2 populations, showed an average mean value for biological yield per plant. Results further revealed that F2 populations showed more biological yield than testers and lines.

Grain Yield per Plant

Grain yield per plant varied from 24.8 (line 2768) to 31.3 g (line 2835) among lines; testers ranged from 24.1 (Shahkar-13) to 29.0 g (Pirsabak-13), whereas their F2 populations varied from 23.5 (2836 × Shahkar-13) to 36.3 g (2835 × Pirsabak-13) (Table 4). On the whole, the highest grain yield per plant was recorded for the F2 population 2835 × Pirsabak-13 (36.3 g), followed by the F2 population 2785 × Shahkar-13 (31.4 g), line 2835 (31.3 g). Minimum grain yield per plant was observed for F2 population 2836 × Shahkar-13 (23.5 g), followed by other F2 population 2835 × Punjab-11 (23.7 g), and tester Shahkar-13 (24.1 g). Other genotypes, including lines, testers, and F2 populations, showed average mean values for grain yield per plant.

Table 3.

Mean performance of the lines, testers, and F2 populations for various traits in wheat.

Lines, Testers & F2 PopulationsTillers plant-1Flag leaf area (cm2)Grains spike-1
Lines
276816.831.752.0
276914.636.166.8
278516.234.867.0
280512.934.961.0
280611.833.162.0
283513.733.268.0
283614.934.356.6
Testers
Pirsabak-201313.035.962.4
Shahkar-201313.036.157.5
Punjab-201115.432.963.3
F2 populations
2768 × Pirsabak-201314.234.156.0
2768 × Shahkar-201312.532.148.2
2768 × Punjab-1116.131.555.6
2769 × Pirsabak-201313.232.455.3
2769 × Shahkar-201313.136.156.4
2769 × Punjab-1113.931.063.1
2785 × Pirsabak-201314.932.253.6
2785 × Shahkar-201313.133.256.2
2785 × Punjab-1112.834.459.5
2805 × Pirsabak-201313.536.356.4
2805 × Shahkar-201312.432.552.3
2805 × Punjab-1113.834.354.5
2806 × Pirsabak-201312.531.854.6
2806 × Shahkar-201313.232.463.2
2806 × Punjab-1112.931.853.4
2835 × Pirsabak-201311.633.168.3
2835 × Shahkar-201312.832.254.4
2835 × Punjab-1113.333.058.8
2836 × Pirsabak-201312.633.152.2
2836 × Shahkar-201313.533.549.3
2836 × Punjab-1114.531.758.0
LSD0.050.840.691.93

Combining Ability Analysis

Analysis of variance for combining ability showed significant (p≤0.01) differences among lines for 1000-grain weight while the significant (p≤0.05) for flag leaf area (Table 2). In the cases of testers, significant (p≤0.05) differences were obtained for 1000-grain weight and biological yield per plant. In the case of line × tester interactions, significant (p≤0.01) differences were observed for all the parameters studied, i.e., flag leaf area, tillers per plant, grains per spike, 1000-grain weight, biological yield, and grain yield per plant.

General and Specific Combining Ability Effects

In the case of the testers, the GCA effects ranged from -4.09 to 2.44. The highest negative GCA values were revealed by the tester Pirsabak-13 (-4.09), while the highest positive GCA effects were manifested by the tester Punjab-11 (2.44). These promising parental genotypes with maximum negative GCA effects were identified as the best general combiners that can be used in future wheat breeding programs to reduce vegetative growth.

Ten F2 populations showed desirable negative SCA effects while the remaining 11 F2 populations showed positive SCA effects. Minimum and desirable SCA effects were found in F2 population 2805 × Shahkar-13 (-7.82), followed by 2806 × Pirsabak-13 (-7.33) and 2785 × Shahkar-13 (-4.26). However, maximum positive SCA effects were possessed by the F2 population, i.e., 2805 × Pirsabak-13 (7.99), followed by 2806 × Punjab-11 (6.67) and 2768 × Shahkar-13 (3.83).

For the tillers per plant, the GCA effects among lines ranged from -0.78 to 0.91 (Table 5). The greatest positive GCA effect was observed in line 2768 (0.91) followed by 2785 (0.25). However, the smallest and most negative GCA value was exposed by line 2835 (-0.78) followed by 2806 (-0.51). In the case of the testers, the GCA effects ranged from -0.40 to 0.54 for tillers per plant. Maximum positive GCA effect was observed in tester Punjab-11 (0.54), while minimum and negative GCA effect was recorded in tester Shahkar-13 (-0.40) for tillers per plant. Generally, maximum positives and desirable GCA effects were observed in parental line 2768 (0.91) followed by tester Punjab-11 (0.54) and were considered as a better general combiner for tillers per plant in the current study.

In F2 populations, the specific combining ability effects for tillers per plant ranged from -1.34 to 1.45 (Table 6). Twenty-one F2 populations, of which eleven F2 populations revealed positive SCA effects, and the remaining 10 F2 populations showed negative SCA effects. Maximum positive SCA effects were possessed by the F2 population 2785 × Pirsabak-13 (1.45), followed by two other populations, i.e., 2768 × Punjab-11 (1.32) and 2806 × Shahkar-13 (0.71). However, minimum and negative SCA effects were owned by the F2 population 2768 × Shahkar-13 (-1.34), followed by 2785 × Punjab-11 (-1.33) and 2835 × Pirsabak-13.

Table 4.

Mean performance of lines, testers, and F2 populations for various traits in wheat.

Lines, Testers & F2 Populations1000-grain weight (g)Biological yield plant-1Grain yield plant-1
Lines
276832.974.824.8
276935.476.230.8
278531.682.827.7
280532.162.725.3
280632.667.229.6
283546.568.731.3
283629.971.028.3
Testers
Pirsabak-201337.561.729.0
Shahkar-201333.576.024.1
Punjab-201134.479.427.2
F2 populations
2768 × Pirsabak-201338.266.728.1
2768 × Shahkar-201341.164.025.0
2768 × Punjab-1144.265.627.8
2769 × Pirsabak-201344.668.527.0
2769 × Shahkar-201338.771.026.1
2769 × Punjab-1148.866.230.0
2785 × Pirsabak-201340.672.228.1
2785 × Shahkar-201334.179.831.4
2785 × Punjab-1133.282.624.1
2805 × Pirsabak-201340.474.827.2
2805 × Shahkar-201341.888.929.0
2805 × Punjab-1143.270.525.8
2806 × Pirsabak-201345.071.624.9
2806 × Shahkar-201335.590.629.5
2806 × Punjab-1138.265.226.8
2835 × Pirsabak-201349.769.536.3
2835 × Shahkar-201339.581.828.3
2835 × Punjab-1145.778.523.7
2836 × Pirsabak-201339.172.025.3
2836 × Shahkar-201335.175.023.5
2836 × Punjab-1135.179.024.5
LSD0.051.496.562.03
Table 5.

General combining ability effects among lines and testers for various traits in the wheat.

Parental genotypesFlag leaf areaTillers plant-1Grains spike-11000-grain weightBiological yield plant-1Grain yield plant-1
Lines
2768-0.65**0.91**-2.77**0.60*-8.55**-0.27
2769-0.040.052.2 0**3.46**-5.46**0.45
27850.050.250.37-4.58**4.21**0.60
28052.80**-0.12-1.62**1.23**4.05**0.05
2806-1.20**-0.51**1.04*-0.99**1.81-0.19
2835-0.46**-0.78**3.71**4.41**2.602.20**
2836-0.49**0.20-2.94**-4.12**1.32-2.85**
S.E.0.140.170.390.301.340.42
Testers
Pirsabak-20130.07-0.140.251.96**-3.24**0.88*
Shahkar-130.63*-0.40**-1.77**-2.60**4.73**0.26
Punjab-2011-0.69**0.54**1.52**0.64-1.49-1.14**
S.E.0.100.120.280.220.950.29

[i] **, * = Significant at the 1% and 5% levels of the probability; S.E. = Standard errors

For the flag leaf area, the GCA effects among lines ranged from -1.20 to 2.80 (Table 5). Most positive GCA effects were exhibited by line 2805 (2.80), followed by 2785 (0.50). However, minimum negative GCA effects were exhibited by line 2806 (-1.20), followed by two other parental lines, i.e., 2768 (-0.65) and 2836 (-0.49). In the case of testers, the flag leaf area, the GCA effects ranged from -0.69 to 0.63. The highest positive GCA effects were observed in tester Shahkar-13 (0.63). However, minimum and negative GCA effects were owned by the tester Punjab-11 (-0.69). Generally, the highest positive and desirable GCA values were observed in parental line 2805 (2.80), followed by tester Shahkar-13 (0.63), and considered as good general combiners for the flag leaf area.

In the F2 populations, the specific combining ability effect for the flag leaf area ranged from -1.50 to 2.32 (Table 6). Ten out of 21 F2 populations revealed positive SCA effects for said trait. However, 11 F2 populations showed negative SCA effects. Maximum positive and desirable SCA effects were possessed by F2 populations 2769 × Shahkar-13 (2.32) followed by two other populations, i.e., 2785 × Punjab-11 (1.82) and 2768 × Pirsabak-13 (1.42). These potential populations can be used in future breeding programs to develop wheat genotypes by increasing the flag leaf area. Further, the minimum and negative SCA effects were noted in the F2 population of 2769 × Punjab-11 (-1.50), followed by two other populations, i.e., 2835 × Shahkar-13 (-1.19) and 2785 × Pirsabak-13 -1.15.

For grains per spike, among lines, the GCA effects ranged from -2.94 to 3.71 (Table 5). Maximum positive desirable GCA values were exhibited by line 2835 (3.71) followed by two other parental lines, i.e., 2769 (2.20) and 2806 (1.04) for the said trait. However, negative GCA effects were observed in line 2836 (-2.94) followed by 2768 (-2.77). In testers, the GCA effects ranged from -1.77 to 1.52 for the grains per spike. The most positive and desirable GCA effects were observed in the tester Punjab-11 (1.52). However, minimum and negative GCA values were possessed by the tester Shahkar-13 (-1.77) for grains per spike. Overall, the positive and desirable GCA effects were observed in parental line 2835 (3.71), followed by line 2769 (2.20), and tester Punjab-11(1.52) and considered the most excellent general combiner for grains per spike.

In F2 populations, the specific combining ability effects of the grains per spike ranged from -5.17 to 7.92 (Table 6). Nine out of 21 F2 populations revealed positive SCA effects for said trait. However, 12 F2 populations showed a negative SCA effect. Maximum positive and desirable SCA effects were possessed by the F2 population 2806 × Shahkar-13 (7.92), and it was followed by the other populations, i.e., 2835 × Pirsabak-13 (6.01) and 2836 × Punjab-11 (3.38), which was found to be the best specific combiner of the grains per spike. However, minimum negative SCA effects were exhibited by the F2 population 2806 × Punjab-11 (-5.17), followed by two other populations, i.e., 2835 × Shahkar-13 (-3.55) and 2768 × Shahkar-13 (-3.33).

Table 6.

Specific combining ability effects among F2 populations for the various traits in wheat.

F2 populationsFlag leaf areaTillers plant-1Grains spike-11000-grain weightBiological yield plant-1Grain yield plant-1
2768 × Pirsabak-20131.42**0.022.49-4.90**4.480.28
2768 × Shahkar-2013-1.07**-1.34**-3.332.50**-6.15*-2.28**
2768 × Punjab-11-0.351.32**0.852.40**1.672.00**
2769 × Pirsabak-2013-0.82**-0.09-3.21-1.40*3.20-1.61*
2769 × Shahkar-20132.32**0.11-0.10-2.77**-2.31-1.83*
2769 × Punjab-11-1.50**-0.033.314.16**-0.893.43**
2785 × Pirsabak-2013-1.15**1.45**-3.092.68**-2.74-0.65
2785 × Shahkar-2013-0.67**-0.121.570.71-3.113.28**
2785 × Punjab-111.82**-1.33**1.52-3.39**5.85*-2.63**
2805 × Pirsabak-20130.240.421.74-3.33**-0.05-1.00
2805 × Shahkar-20130.79**-0.44-0.312.60**6.11*1.39
2805 × Punjab-11-1.03**0.02-1.430.73-6.06*-0.39
2806 × Pirsabak-2013-0.26-0.19-2.763.43**-0.94-3.04**
2806 × Shahkar-2013-0.250.71*7.92-1.44**10.02**2.15**
2806 × Punjab-110.50*-0.52-5.17-1.98**-9.09**0.89
2835 × Pirsabak-20130.27-0.82**6.012.79**-3.866.00**
2835 × Shahkar-2013-1.19**0.65*-3.55-2.88**0.50-1.42**
2835 × Punjab-110.93**0.17-2.470.083.36-4.58**
2836 × Pirsabak-20130.30-0.80*-1.180.72-0.090.02
2836 × Shahkar-20130.070.43-2.201.28*-5.06**-1.29
2836 × Punjab-11-0.370.363.38-1.99**5.16**1.27
S.E.0.240.300.680.532.320.72

[i] **, * = Significantly at the 1% and 5% levels of the probability; S.E. = Standard errors

For thousand grain weight, the lines GCA effects range from -4.58 to 4.41 (Table 5). Maximum positive desirable GCA effects were observed in line 2835 (4.41), followed by two other lines, i.e., 2769 (3.46) and 2805 (1.23). However, negative GCA effects were observed in line 2785 (-4.58), followed by 2836 (-4.12) and 2806 (-0.99). In testers for thousand-grain weight, the GCA effects ranged from -2.60 to 1.96. Maximum positive desirable GCA effects were recorded in testers Pirsabak-13 (1.96). However, minimum and negative GCA effects were exhibited by the tester Shakar-13 (-2.60). Generally, the highest positive and desirable GCA effects were observed in parental line 2835 (4.41), followed by line 2769 (3.46), and tester Pirsabak-13 (1.96). These promising genotypes were identified as the best general combiner for the 1000-grain weight.

In F2 populations, for thousand-grain weight, the specific combining ability effects ranged from -4.90 to 4.16 (Table 6). Twelve out of the 21 F2 populations revealed positive SCA effects, however, nine F2 populations showed negative SCA effects for the said trait. The maximum positive desirable SCA effects were possessed by the F2 population 2769 × Punjab-11 (4.16), followed by other populations i.e., 2806 × Pirsabak-13 (3.43) and 2785 × Pirsabak-13 (2.68), and were considered the most excellent specific combiner for 1000-grain weight. However, minimum and negative SCA effects were noted in the F2 population 2768 × Pirsabak-2013 (-4.90), followed by two other populations, i.e., 2785 × Punjab-11 (-3.39) and 2805 × Pirsabak-13 (-3.33).

For the biological yield among lines, GCA effects ranged from -8.55 to 4.21 (Table 5). Maximum positive desirable GCA effects were shown by line 2785 (4.21), followed by two other lines, i.e., 2805 (4.05) and 2835 (2.60) for the said trait. However, negative GCA effects were exhibited by the line 2768 (-8.55), followed by 2769 (-5.46). In testers, the GCA effects ranged from -3.24 to 4.73 for biological yield. The highest positive and desirable GCA effects were observed in the tester Shakar-13 (4.73). However, minimum and negative GCA effects were recorded in tester Pirsabak-13 (-3.24). Generally, the highest positive desirable GCA effect was exhibited by the parental tester Shakar-13 (4.73) followed by lines 2785 (4.21) and 2805 (4.05), which were suggested to be the better general combiners for biological yield and can be used in future breeding programs to develop wheat genotypes with the maximum biological yield.

In F2 populations, the specific combining ability effects of the biological yield ranged from -9.09 to 10.02 (Table 6). Nine out of 21 F2 populations exposed positive SCA effects, while twelve F2 populations showed negative SCA effects. Maximum positive and desirable SCA effects were possessed by the F2 population 2806 × Shahkar-13 (10.02), followed by two other populations, i.e., 2805 × Shahkar-13 (6.11) and 2785 × Punjab-11 (5.85), and suggested as the best specific combiner for the biological yield. However, minimum and negative SCA effects were possessed by the F2 population 2806 × Punjab-11 (-9.09), followed by 2768 × Punjab-11 (-6.15) and 2805 × Punjab-11 (-6.06). For the grain yield per plant, lines GCA effects ranged from -2.85 to 2.20 (Table 5). Maximum positive and desirable GCA effects were observed in line 2835 (2.20), followed by 2785 (0.60) for grain yield. However, negative GCA effects were possessed by line 2836 (-2.85), followed by two other lines, i.e., 2768 (-0.27) and 2806 (-0.19). In the case of testers, the GCA effects ranged from -1.14 to 0.88 for the grain yield per plant. Maximum positive desirable GCA effects were recorded for tester Pirsabak-13 (0.88). However, minimum and negative GCA effects were observed in tester Punjab-11 (-1.14). Generally, the highest positive and desirable GCA effects were noted in the parental line 2835 (2.20), followed by tester Pirsabak-13 (0.88), and were considered the best general combiner for the grain yield per plant.

For grain yield per plant, the F2 population-specific combining ability effects ranged from -4.58 to 6.00 (Table 6). Eleven out of 21 F2 populations exposed positive and desirable SCA effects, while the remaining 10 F2 populations showed negative SCA effects for the said trait. Maximum positive and desirable SCA effects were possessed by the F2 population 2835 × Pirsabak-13 (6.0), followed by the two other populations, i.e., 2769 × Punjab-11 (3.43) and 2785 × Shahkar-13 (3.28), and were found as specific cross combinations for the grain yield per plant. However, minimum negative SCA effects were exhibited by the F2 population 2835 × Punjab-11 (-4.58), followed by other populations, i.e., 2806 × Pirsabak-13 (-3.04) and 2785 × Punjab-11 (-2.63).

Gene Action and Proportional Contribution of Populations to the Total Variance

The variances of the general combining ability (σ2GCA) were lower than the specific combining ability variances (σ2SCA) for all the traits, suggesting the preponderance of non-additive gene actions (Table 7). The value of dominance genetic variance was greater than additive genetic variance for all the traits. The present findings were also authenticated by the ratio of the variance of the general to specific combining ability (σ2GCA/σ2SCA) which was smaller than unity, and by the degree of dominance (σ2D/σ2A)1/2 which revealed the values superior to unity. For that reason, it appeared that the inheritance of all the studied characters was controlled by the non-additive gene effects. Genes action indicated that the selection of the populations in terms of the morphological and yield-related traits must be delayed to late segregating generations. However, optimized trait selection can be performed using advanced techniques like marker-assisted selection in the genotypes identified as having the non-additive type of gene action that will speed up the breeding process.

In proportional contributions to the total variances, the line by-tester interactions have the maximum role (as compared to the parental lines and testers) for the five traits, i.e., tillers per plant (55.06%), grains per spike (59.69%), biological yield per plant (40.20%), grain yield per plant (58.13%), followed by lines (Table 8). For trait i.e., flag leaf area (52.56%), and 1000-grain weight (49.89%), the contribution of the parental lines was leading as compared to the parental testers and L x T F2 populations. Results further revealed that line × tester interaction and parental lines managed the majority of the variation in the expression of these traits.

Table 7.

Genetic components for the various traits in the wheat.

Genetic ComponentsFlag leaf areaTillers plant-1Grains spike-11000-grain weightBiological yield plant-1Grain yield plant-1
σ2GC.A0.090.0060.010.781.490.03
σ2SCA1.720.8018.5611.4233.409.76
σ2A0.170.0130.021.562.980.05
σ2D1.720.8018.5611.4233.409.76
σ2SCA / σ2SCA0.050.010.0010.070.040.003
σ2A / σ2D0.100.020.0010.140.090.01
[σ2D / σ2A]1/23.18.030.92.73.313.7

[i] σ2A: additive genetics variances; σ2D: dominant genetics variances; σ2 GC.A: GCA variances; σ2SC..A: SCA variances; σ2GC.A / σ2SCA: average degrees of dominance.

Table 8.

The proportional contribution of lines, testers, and line × tester interaction to total variance.

VariablesLines (%)Testers (%)Line × Tester F2 populations (%)
Flag leaf area52.5610.6036.84
Tillers plant-128.1116.8355.06
Grains spike-131.079.2459.69
1000-grain weight49.8917.7632.35
Biological yield plant-138.5621.2340.20
Grain yield plant-130.4711.4058.13
Table 9.

Heritability estimates for various traits in wheat.

ParametersVgVpGCV (%)PCV (%)h2 (bs)Genetic gain
Flag leaf area (cm2)2.342.524.574.740.932.15
Tiller plant-11.511.779.009.760.851.65
Grain spike-126.9528.359.239.450.957.62
1000-grain weight (g)28.6129.4513.8314.030.977.69
Biological yield plant-1 (g)48.7764.889.5110.980.758.83
Grain yield plant-1 (g)7.418.9610.6711.590.833.91

[i] Vg: genetic variance; Vp: phenotypic variance; GCV: genotypic coefficient of variance; PCV: phenotypic coefficient of variance; h2 (bs); heritability (broad sense).

Genetic Parameters, Heritability (Broad Sense), and Genetic Gain

For the flag leaf area, the value of genotypic variance (2.51) was greater than phenotypic variance (2.34) while the GCV and PCV values were 4.57% and 4.74%, respectively. Broad sense heritability and genetic gain values for flag leaf area were 0.93 and 2.15 cm2, respectively. For tiller per plant, the value of phenotypic variance (1.50) was smaller than genotypic variance (1.70), while the values of GCV and PCV were 9.00% and 9.76%, respectively. Broad sense heritability and genetic gain values were 0.86 and 1.65, respectively, for the tillers plant. For grains per spike, the genotypic variance (28.35) value was greater in magnitude than the phenotypic variance (26.95), while the GCV and PCV values were 9.23% and 9.45%, respectively. However, the heritability (broad sense) and genetic gain values were 0.95 and 7.62, respectively, for grains per spike.

For 1000-grain weight, the value of genotypic variance (28.60) was smaller than phenotypic variance (29.44), which revealed a greater role in the environment in the management of the said trait (Table 7). The GCV and PCV values were 13.83% and 14.03%, respectively. The values of heritability (broad sense) and genetic gain were recorded as 0.97 and 7.69 g, respectively, for thousand-grain weight (Table 9). For biological yield, the value of phenotypic variance (48.76) was smaller than genotypic variance (64.88) while the GCV and PCV values were 9.51% and 10.98%, respectively, for said trait. High broad sense heritability and genetic gain values were recorded as 0.75 and 8.83 g, respectively, for biological yield. For grain yield per plant, the genotypic variance (7.40) was smaller than the phenotypic variance (8.95), which shows a greater role of the environment. The GCV and PCV values were 10.67% and 11.59%, respectively. Broad sense heritability and genetic gain values were 0.83 and 3.91 g, respectively, for grain yield.

Discussion

The wheat testers, lines, F1, and F2 populations all showed similar variations in the number of tillers per plant, and previous research findings showed that genotypes with the most tillers have higher biological and grain yields [18, 19]. Previous research found a link between wheat flag leaf areas and ultimate grain yield by observing substantial variations and higher genetic variation in several wheat lines, testers, F1, and F2 populations [20, 21]. Significant differences were observed in the different wheat populations for the flag leaf area and its considerable positive correlation with the grain yield [22]. It is reported that the significant differences among various populations of wheat for the grains per spike and grain yield traits [12, 23]. Past and present findings confirmed that grains per spike is a very essential trait, and the grain yield is fully dependent on it, and increased grains per spike effects directly affect grain yield.

Findings revealed considerable changes in 1000-grain weight between different wheat populations, including lines, test subjects, and F1 and F2 populations [24]. Due to its correlation with grain yield in wheat, previous research revealed that larger grains would produce an overall increase in grain yield for the various wheat genotypes [25]. Previous studies found that amongst lines, testers, F1, and F2 populations, the theoretical yield of wheat per plant varied significantly [26]. Other earlier research similarly revealed significant variations in biological yield per plant for wheat among tests, lines, and F1 and F2 populations [18, 27].

The end product generated through interactions of numerous yield-contributing features in wheat is grain yield per plant. For the grain yield per plant, the genetic diversity of several wheat genotypes, including lines, testers, F1, and F2 populations, was found to be more pronounced and significant in earlier investigations. In past studies, more significant genetic variation was observed among different wheat genotypes, including lines, testers, F1, and F2 populations [28]. Significant variations in grain production per plant have been found among lines, testers, F1, and F2 populations [18, 26]. Previous research on line-by-tester analysis also demonstrated very significant differences for tillers per plant, thousand-grain weight, and yield-related characteristics, as well as line-by-tester interactions and population genetic variability for morphological and yield parameters [29]. In a previous study, the 10 wheat populations showed the highest levels of both undesirable and favorable general and specific combining ability impacts [6].

In a variety of wheat lines, testers, and their cross combinations for yield and yield-attributing traits in line by tester analyses in wheat, Nour et al. (2011) also discovered similar ranges of specific and general combing ability effects [27]. Wheat breeding programs promote genotypes with the most tillers per plant because they produce the most grain and provide the most animal feed [30-32]. Genotype 9469 exposed maximum positive GCA effects, whereas genotypes Aas-11 and Iqbal-200 exhibit negative GCA effects for the flag leaf area [15, 33, 34]. According to previous research, 55% of F1 populations had favorable specific combining ability impacts for traits related to yield and grains per spike, and they were recommended as the best specific combiner in wheat [27, 30]. An earlier study demonstrated favorable SCA effects in the F1 population Inqlab-91 Chakwal-86 and indicated these specific combiners as the most suitable ones for wheat’s thousand-grain weight [27, 32]. According to research by Khan et al. (2010), the wheat genotypes Uqab-200 and V-0055, as well as the F1 population SH-02 × Uqab-2000, were discovered to be the best general and specific combiners for attributes linked to 1000-grain weight and yield in wheat [35]. Previous research found that lines, testers, and the L × T F1 population UP-238 × Pavon-76 showed desirable SCA and GCA effects and were recommended as the best specific combiners for biological yield in wheat [36, 37]. The improvement in grain yield and features that are connected to yield have been explored in previous studies. Significant GCA and SCA effects from L × T combinations led researchers to conclude that they would make good general and specific combiners to use in hybridization programs [30]. In some other studies, the general combiner was identified as the promising lines and testers, whereas the best specific combiner was determined to be F1 populations with desirable SCA and mean performance to be used in future breeding programs to improve yield-related traits and grain yield in wheat [38].

Previous studies showed that the variance of the general and specific combining ability and ratios showed that the non-additive gene action was key for the majority of yield-related traits in wheat [38, 39]. Line × tester combining ability indicated the additive gene effects were less important than non-additive gene effects, and non-additive gene actions have a prime role in the inheritance of morphological and yield-related traits in wheat [27].

For line-by-tester combining ability analysis, previous research studies revealed that line-tester interactions contribution to total variance was found to be greater than lines and testers individually for yield and yield components in bread wheat [40]. Earlier studies about line-by-tester combining ability analysis revealed that the contribution of line × tester interactions to total variance was greater than lines and testers by managing the variances in populations for morphological and yield-associated traits in wheat [34, 41]. In earlier studies, the values of genotypic and phenotypic variances, GCV and PCV, heritability (broad sense), and genetic gain were reported for morphological traits, i.e., flag leaf area and tillers per plant, among F1 and F2 populations studied through line by tester combining ability analysis in wheat [27, 33, 34].

Conclusions

A promising F2 population with a desired SCA was produced using high x low and high general combiner. It was confirmed that all traits were controlled by non-additive gene effects when the ratio of variations attributable to GC and SC effects (2GCA/2SCA) was smaller than unity and the degree of dominance (2D/2A)1/2 was greater than unity. Selection of the promising populations in terms of morphological and yield attributes should be delayed to later segregating generations, according to non-additive gene actions. Based on current findings, it has been determined that the aforementioned populations in progress could be utilized in a future breeding program to create high-yielding wheat genotypes. However, there is no indirect impact of combining ability analysis because of the involvement of genes in the inheritance of any specific trait under consideration.

Authors Contribution

Humaira Iqbal and Muhammad Jalal Hassan designed the study and conducted the research. Maqsood Qamar, Sundas Waqar, and Muhammad Shahbaz Farooq helped Humaira Iqbal to perform the experiments and analysis. Muhammad Usman, Samman Gul Vaseer, Muhammad Uzair, and Muhammad Arshad helped with data analysis, software standardization, and the writing of the original draft. Kotb A. Attia, Arif Ahmed Mohammed, and Muhammad Uzair provided technical expertise to improve the article and helped in funding acquisition. All authors reviewed and edited the manuscript.