Line × Tester Mating Design Analysis for Grain Yield and Yield Related Traits in Bread Wheat (Triticum aestivum L.)

Nine bread wheat (Triticum aestivum L.) genotypes were crossed in a line × tester mating design.The 20 F 1 ’s and their parents were evaluated in a randomized complete block design with three replications at the Field Crop Institute-Agricultural Experimental Station of Setif (Algeria) during the 2011/2012 cropping season.The results indicated that sufficient genetic variability was observed for all characters studied. A 899 × Rmada, A 899 ×Wifak, and A 1135 ×Wifak hybrids had greater grain yield mean than the parents. A 901 line and the tester Wifak were good combiners for the number of grains per spike. MD is a good combiner for 1000-kernel weight and number of fertile tillers. HD 1220 is a good general combiner to reduce plant height; Rmada is a good general combiner to shorten the duration of the vegetative growth period. A 901 ×Wifak is a best specific combiner to reduce plant height, to increase 1000-kernel weight and number of grains per spike. AA×MD is a best specific combiner to reduce duration of the vegetative period, plant height and to increase the number of kernels per spike. A 899 ×Wifak showed the highest heterosis for grain yield, accompanied with positive heterosis for the number of fertile tillers and spike length, and negative heterosis for 1000-kernel weight and the number of days to heading. σ2 gca 2 sca, (σ 2


Introduction
Bread wheat (Triticum aestivum L.) is an important staple food in Algeria. This crop ranks third after durum wheat (Triticum durum Desf.) and barley (Hordeum vulgare L.), with a yearly cropped area of 0.8 million hectares, representing 24.2% of the 3.3 million hectares devoted to small grain cereals. Algeria imported 3.0 million tons of bread wheat in 2010/2011, to remedy the decline in the domestic production and to build stocks to meet the needs.
Increasing wheat production can be achieved by application of improved agronomic technics, developing and adopting high yielding varieties. Major emphasis, in breeding program, is put on the development of improved varieties with superior qualitative and quantitative traits and resilience to abiotic stresses. In fact, genetic improvement in bread wheat, having better tolerance against terminal heat and water stress, has a good promise to improve grain yield average and total wheat production.
However to breed high yielding varieties, breeders often face the problem of selecting parents and crosses. In this context various breeding approaches have been suggested. The line × tester analysis method introduced by Kempthorne [1] is one of the powerful tools available to estimate the combining ability effects and aids in selecting desirable parents and crosses for exploitation in pedigree breeding [2][3][4]. Performances per se do not necessarily reveal which parents are good or poor combiners. To surmount this difficulty, it is necessary to gather information on the nature of gene actions. General combining ability is attributed to additive type of gene effects, while specific combining ability is attributed to nonadditive type of gene actions. Nonadditive gene type of actions is not reliably fixable whereas additive type of gene actions or complementary type epistatic gene interactions are reliably fixable [5][6][7].
Heterosis estimates, for different morphological and yield related characters, are attributed to both additive and nonadditive gene actions. Heritability gives information about genetic variation; it is useful for predicting the response to selection in the succeeding generations. Heritability is dependent upon the nature of gene action [8][9][10]. Better understanding of the underlying genetic control of important traits in bread wheat is useful in breeding for higher grain yield. Kamaluddin et al. [11] reported high contribution of general combining ability for genetic control of bread wheat characters. Kumar and Maloo [12] identified the best specific and general combiners that were efficient for breeding days to flowering and grain yield in bread wheat. Involvement of both additive and dominance gene actions was also reported for genetic control of heading time in wheat [7], grain yield [13], number of grains per spike, 1000-kernel weight [14], and fertile tillers per plant [15]. Ahmad et al. [16] reported that additive gene effect was important for days to heading. Khan and Habib [17] observed that grain weight was controlled by over dominance type of gene action.
The objectives of this study are to assess the combining ability, to determine the nature and magnitude of gene actions and to estimate heterosis and heritability for yield and yieldrelated traits in a line × tester mating design in bread wheat.

Materials and Methods
The present investigation was carried out at the Field Crop Institute-Agricultural Experimental Station of Setif (ITGC-AES, 36 ∘ 12 N and 05 ∘ 24 E, Algeria) during the 2010/2011 and 2011/2012 cropping seasons. The soil of the experimental site is silty clay, with CaCO 3 and organic matter contents of 35% and 1.35%, respectively. The experimental material comprises nine bread wheat (Triticum aestivum L.) genotypes. Five genotypes, Acsad 901 , Acsad 899 , Acsad 1135 , Acsad 1069 , and Ain Abid, were used as females, hereafter designated as lines; and four genotypes: Mahon Demias, Rmada, HD 1220, Wifak, designated as testers, were used as males. Mahon Demias is a genealogical selection from a land race introduced from Balearic Islands in the mid-forties of the past century. This cultivar is widely adapted to the arid and semiarid high plateaus of Algeria. HD 1220 is a selection from CIMMYT segregating material; it was released as cultivar in the nineties. Drought tolerant and early maturing, this variety gained large acceptance from farmers due to its high yielding potential [18].
The nine parents were crossed to produce 20 F 1 hybrids according to the line × tester mating design developed by Kempthorne [1]. F 1 seeds were sown in the field, along with their parents, in a randomized complete block design with three replications. Each plot comprised one row of 2.5 m length with space of 30 cm between rows and seeds were placed 15 cm apart. Recommended cultural practices were followed to raise a good crop. Monoammonium phosphate Table 1: ANOVA for line × tester analysis.

Source of variation
Degree of freedom (df) Mean square Replication ( ) Where MS 2 , , , × , and MS 1 were genotypic mean square, line mean square, tester mean square, line × tester mean square, and error mean square, respectively.
(52% P 2 O 5 + 12% N) with 80 kg ha −1 was applied just before sowing and 75 kg ha −1 of Sulfate (26% N + 35% SO 3 ) was spread at tillering stage. Weeds were controlled by application of 12 g ha −1 of Granstar [Methyl Triberunon] herbicide mixed with water. Five competitive plants (excluding border plants) were tagged before heading and data were recorded for the number of days to heading, plant height, spike length, number of fertile tillers per plant, number of grains per spike, 1000kernel weight, and grain yield per plant. Data recorded were subjected to analysis of variance according to Steel and Torrie [19] to determine significant differences among genotypes. Combining ability effects are very effective genetic parameters in deciding the next phase of breeding programs. They were computed according to the line × tester method [20]. Line × tester analysis was performed as outlined in the format of ANOVA table given in Table 1.
The variances for general and specific combining ability were tested against their respective error variances, derived from the analysis of variance of the different traits as follows: Covariance of half-sib of line Covariance of half-sib of tester Covariance of full sib International Journal of Agronomy 3 Assuming no epistasis, variance due to GCA ( 2 gca ) and variance due to SCA ( 2 sca ) were calculated as follows: Additive and dominance genetic variances ( 2 and 2 ) were calculated by taking inbreeding coefficient ( ) equal to one; that is, = 1 because both lines and testers were inbred. Significance test for general combining ability and specific combining ability effects were performed using -test. Mid-parent heterosis ( PM ) is defined as the increased vigor of the 1 over the mean of the parents. It was estimated from mean values and its significance was performed using -test [21]. Narrow sense heritability was estimated, after derivation of the variance components [20]. ( 2 gca / 2 sca ), and ( 2 / 2 ) 1/2 ratios were used to rate the relative weight of additive versus nonadditive type of gene actions [22]. days to heading, plant height, spike length, fertile tillers, 1000kernel weight, grains per spike, and grain yield, respectively. These differences were 3 to 5 times higher than the LSD0.05 values. Parents and crosses showed significant effects for all traits. Mean square of the contrast "parents versus crosses" was significant for days to heading, plant height, spike length, fertile tillers, and grain yield and nonsignificant for 1000kernel weight and number of grains per spike ( Table 2). The differences between overall mean of parents and that of hybrids indicated that hybrids were 1.1 days earlier, 4.0 cm taller and had more effective tillers and a grain yield advantage of 2.7 g. Parents and hybrids showed similar averages for 1000-kernel weight and number of grains per spike (Table 3). Line and tester effects were significant for all traits (Table 2). Among lines, the differences, between the extreme mean values for the measured traits, were 5.4 days, 14.7 cm, 2.5 cm, 7.2 tillers, 8.9 g, 15.6 grains, and 11.2 g for days to heading, plant height, spike length, fertile tillers, 1000-kernel weight, grains per spike, and grain yield, respectively ( Table 3). The best grain yielding line is A 1135 which is the tallest and had also the highest average for the number of fertile tillers and 1000-kernel weight (Table 3). A 1069 was the earliest with an average of 132.3 days, while Ain Abid (AA) had the longest and most fertile spike (Table 3). Among testers, the differences, between the extreme mean values for the characters under study, were 7.3 days, 36.6 cm, 2.2 cm, 8.4 tillers, 11.9 g, 28.7 grains, and 6.9 g for days to heading, plant height, spike length, fertile tillers, 1000-kernel weight, grains per spike, and grain yield, respectively ( Table 3). The best grain yielding tester was Rmada (20.4 g) which exhibited also the longest spike (13.6 cm). Wifak was the earliest with an average of 132.7 days, while Mahon Demias (MD) was the tallest with 99.8 cm and presented the highest mean for the number of fertile tillers and 1000-kernel weight. HD 1220 expressed the best average of the number of grains per spike (Table 3). Compared to testers, lines showed shorter plant height (−5.1 cm), lighter 1000-kernel weight (−2.6 g), and higher number of grains per spike (+6.3 grains). The interaction lines × testers were significant for plant height, spike length, fertile tillers, number of grains per spike, and grain yield, suggesting that hybrids perform better than the parents for these traits (Table 2). Mean values of the hybrids were within the limits of the means of the parents for the number of days to heading, plant height, spike length, and number of grain per spike. For grain yield, A 899 × Rmada, A 899 × Wifak and A 1135 × Wifak cross-combinations presented higher mean values than the parents (Table 3). Genetic variability and mean performance of parents and hybrids are important criteria for genotypic evaluation; however, the parents with high mean value may not transmit this characteristic to their hybrids. These parental and hybrid abilities are estimated in terms of general combining ability (GCA) and specific combining ability (SCA) effects.

General and Specific Combining Ability Effects.
The significance of mean squares, due to lines and testers, for the number of days to heading and 1000-kernel weight suggested the prevalence of additive genetic effects for these traits. While the simultaneous significance of mean squares due to lines, testers and lines × testers for plant height, spike length, fertile tillers, number of grains per spike and grain yield indicated that both additive and nonadditive type of gene action were involved in the genetic control of these characters. A 901 , A 899 , and AA lines and the tester HD 1220 exhibited significant but negative GCA for grain yield. A 901 line and the tester Wifak presented significant and positive GCA effects for the number of grains per spike (Table 4). MD is the best combiner for 1000-kernel weight, number of fertile tillers, and the number of days to heading, with GCA effect of 5.38, 1.64, and 2.80, respectively. HD 1220 is a good general combiner to reduce plant height (Table 4). Significant negative GCA effect for plant height is useful for the development of dwarf plant material. The tester Rmada had significant and negative GCA for the number of days to heading. This tester is a good general combiner to shorten the duration of the vegetative growth period. Even though SCA effects do not contribute tangibly in the improvement of self-pollinated crops, except in situations where exploitation of heterosis is feasible, best hybrids are expected to generate transgressive segregants which could be selected as potent homozygous lines. A 901 × MD hybrid exhibited significant SCA effects, simultaneously, for the number days to heading and spike length. This crosscombination is best suited to select among its offspring's the earliest ones, bearing long spike (Table 5). According to Kenga et al. [23], cross-combinations with high means, favorable SCA estimates and involving at least one of the parents with high GCA would likely enhance the concentration of favorable alleles to improve target traits. In the present study, it is worth noting that A 901 presented a significant and negative GCA effect for spike length while MD presented significant GCA, negative for spike length and positive for days to heading ( Table 4). The positive SCA effect for spike length of this cross-combination resulted from parents having both significant and negative GCA. One parent of this hybrid presented a positive and significant GCA for days to heading while the hybrid exhibited a significant and negative SCA for this trait (Tables 4 and 5). A 901 × Rmada presented a significant and positive SCA effect for the number of fertile tillers per plant. One parent of this cross-combination, the line A 901 , had a significant and negative GCA for the number of fertile tillers. A 901 × Wifak exhibited significant SCA effects, negative for plant height, spike length, fertile tillers, and positive for 1000-kernel weight and number of grains per spike (Table 5). Both parents, A 901 and Wifak, of this cross presented significant GCA for the number of grains per spike and plant height; and at least one parent had significant GCA effect for days to heading (Wifak), spike length, and the number of fertile tillers (A 901 ) ( Table 4). This hybrid is a best specific combiner to reduce plant height and to increase 1000-kernel weight and number of grains per spike. However this cross-combination presents the disadvantage to reduce the number of fertile tillers, which is a strong determinant of grain yield, under semiarid growth conditions [24].
A 1069 × MD cross-combination has significant and positive SCA for plant height and 1000-kernel weight. This cross is a best specific combiner to increase plant height and 1000-kernel weight. AA × MD presented significant and negative SCA effect for days to heading and plant height and significant and positive SCA effect for the number of kernels per spike. This cross is a best specific combiner to reduce duration of the vegetative period, plant height and to increase the number of kernels per spike ( Table 5). None of the hybrids exhibited significant SCA effect for grain yield, suggesting even though the parents varied widely for grain yield, they generated hybrids with grain yield averages within the grain yield limits of the parents.

Gene Action, Degree of Dominance, Heterosis, Heritability, and Contribution to the Total Variance.
The variance due to general combining ability ( 2 gca ) was lower than specific combining ability variance ( 2 sca ) for all traits studied, suggesting the preponderance of nonadditive gene action controlling these characters (Table 6). Dominance genetic variance was larger than additive genetic variance for all traits. These results are supported by ratio of variance of general to specific combining ability ( 2 gca / 2 sca ) which was smaller than unity and by the degree of dominance ( 2 / 2 ) 1/2 which takes values greater than unity (Table 6). Therefore, it appeared that the inheritance of all the studied characters was controlled by a preponderance of nonadditive gene effects. Such type 6 International Journal of Agronomy   of gene action clearly indicated that selection of superior plants, in terms of grain yield, plant height, fertile tillers, and duration of the vegetative growth period should be postponed to later generation, where these traits can be improved by making selections among the recombinants within the segregating populations.
Selection efficiency is related to the magnitude of heritability. In this study, low estimates of narrow-sense heritability were observed for grain yield and spike length, intermediate for the number of fertile tillers per plant, and high for the number of days to heading, plant height, 1000kernel weight, and number of grains per spike (Table 6).
Heterosis is the process by which the performance of an F 1 is superior to that of the mean of the crossed parents. Nine hybrids among 20 exhibited a significant mid-parent heterosis for grain yield. Besides, heterosis for grain yield, A 901 × MD, and A 899 × Rmada expressed significant heterosis for the number of fertile tillers, spike length and the number of days to heading (Table 7). A 899 × Wifak presented the highest heterosis for grain yield, accompanied with positive heterosis for the number of fertile tillers and spike length and negative heterosis for 1000-kernel weight and the number of days to heading (Table 7). Besides heterosis for grain yield, AA × MD hybrid exhibited significant and positive heterosis for International Journal of Agronomy 7   the number of grains per spike, spike length, and negative heterosis for the number of days to heading (Table 7). A 1069 × MD hybrid exhibited significant and positive heterosis for the number of grains per spike, spike length, and plant height ( Table 7). Testers contributed more to the total sum square for number of days to heading, plant height, thousand kernel weight, and number of grains per spike. The contribution of lines was lower compared to the testers and lines × testers interaction for all traits under study. All three sources of variation contributed equally for the number of fertile tillers per plant. Contribution of line × tester was slightly greater than that of testers and lines for grain yield and spike length ( Table 8). These results showed that testers and the interaction lines × testers brought much variation in the expression of the studied traits. The results of the present study revealed large variation between parents and hybrids for the seven traits under study. Compared to the parents, hybrids were earlier, taller, bearing more effective tillers, and had higher grain yielding. A 1135 line and Rmada tester were high grain yielding. Compared to testers, lines were shorter and had low 1000-kernel weight and higher number of grains per spike. Mean values of the hybrids were within the limits of the parental means for the number of days to heading, plant height, spike length, and number of grain per spike. A 899 × Rmada, A 899 × Wifak, and A 1135 × Wifak cross-combinations exhibited higher mean values for grain yield than the parents.
Concomitant significance of mean squares due to lines, testers, and lines × testers for plant height, spike length, fertile tillers, number of grains per spike, and grain yield suggested that both additive and nonadditive types of gene actions were involved in the genetic control of the characters. A 901 line and the tester Wifak were good combiners for the number of grains per spike. MD is a good combiner for 1000-kernel weight and number of fertile tillers. HD 1220 is a good general combiner to reduce plant height, while the tester Rmada is a good general combiner to shorten the duration of the vegetative growth period.
A 901 × MD hybrid exhibited significant SCA effects, simultaneously, for the number of days to heading and spike length. This cross-combination is best suited and offers the opportunity to select, among the progenies, early plant 8 International Journal of Agronomy with long spike. This cross-combination resulted from L × L parents for spike length and H × L for days to heading. Verma and Srivastava [22] mentioned that positive SCA effect was usually associated with crosses where at least one parent was a good general combiner. According to Singh et al. [25] the desirable performance of combination like H × L may be ascribed to the interaction between dominant alleles from good combiners and recessive alleles from poor combiners. A 901 × Rmada presented a significant and positive SCA effect for the number of fertile tillers per plant. One parent of this cross-combination had significant and negative GCA for the number of fertile tillers. A 901 × Wifak exhibited significant SCA effects, negative for plant height, spike length, fertile tillers, and positive for 1000-kernel weight and number of grains per spike. Both parents of this cross presented significant GCA for the number of grains per spike and plant height; and at least one parent had significant GCA effect for days to heading, spike length, and the number of fertile tillers. This hybrid is a best specific combiner to reduce plant height and to increase 1000-kernel weight and number of grains per spike. A 1069 × MD cross-combination is a best specific combiner to increase plant height and 1000-kernel weight. AA × MD is a best specific combiner to reduce duration of the vegetative period, plant height and to increase the number of kernels per spike. None of the hybrids exhibited significant SCA effect for grain yield, suggesting even though the parents varied widely for grain yield, they generated hybrids with grain yield average within the grain yield limits of the parents. Tiwari et al. [26] mentioned that hybrid combinations, where at least one parent is a good general combiner, could be used to developing high yielding pure lines due to presence of additive gene action, even if these crosses showed nonsignificant SCA effects though. In this study A 901 , A 899 , AA, and HD 1220 were poor general combiners for grain yield. 2 gca was lower than 2 sca and 2 was larger than 2 for all traits, suggesting the preponderance of nonadditive gene action. These results are supported by 2 gca / 2 sca ratio which was smaller than unity and by ( 2 / 2 ) 1/2 ratio which takes values greater than unity.
Premlatha et al. [27] reported the importance of nonadditive gene action for plant height and grain yield. Gnanasekaran et al. [28] reported nonadditive gene action for seed weight and plant height, while Sharma [29] reported an additive gene effect. Similar results of predominance of 2 sca variance over 2 gca have been reported by Verma et al. [30] for barley. The results of this study do not corroborated findings reported by Borghi et al. [31] and Borghi and Perenzin [32] who observed that 2 gca was of greater importance than 2 sca for majority of characters. Lucken [33] noted that nonadditive 2 sca is best expressed in space planting. The difference in the results of various pieces of research may be attributed to differences of breeding material and to genotype × environments. Betrán et al. [34] observed significant interactions for combining abilities under low and high nitrogen in maize. The preponderance of nonadditive type of gene actions clearly indicated that selection of superior plants, in terms of grain yield, plant height, fertile tillers, and duration of the vegetative growth period, should be postponed to later generation.
Low estimates of h 2 ns were observed for grain yield and spike length, intermediate for the number of fertile tillers per plant, and high for the number of days to heading, plant height, 1000-kernel weight, and number of grains per spike. This supported the involvement of both additive and nonadditive gene effects. Medium to high narrow sense heritability estimates were reported by Yadav et al. [35], for different traits. Nine hybrids among 20 exhibited a significant midparent heterosis for grain yield. Besides, heterosis for grain yield, A 901 × MD and A 899 × Rmada, expressed significant heterosis for the number of fertile tillers, spike length, and the number of days to heading. A 899 × Wifak showed the highest heterosis for grain yield, accompanied with positive heterosis for the number of fertile tillers and spike length and negative heterosis for 1000-kernel weight and the number of days to heading. AA × MD hybrid exhibited significant and positive heterosis for the number of grains per spike, spike length, and negative heterosis for the number of days to heading. The results indicated that testers and the interaction lines × testers contributed more to the variation in the expression of the studied traits.

Conclusion
A 899 × Rmada, A 899 × Wifak, and A 1135 × Wifak hybrids had greater grain yield mean than the parents. 2 gca / 2 sca , ( 2 / 2 ) 1/2 low ratios and low to intermediate estimates of h 2 ns supported the involvement of both additive and nonadditive gene effects with preponderance of nonadditive type of gene actions. The testers and the interaction lines × testers contributed more to the variation of the expression of the different traits. A 901 line and the tester Wifak were good combiners for the number of grains per spike. MD is a good combiner for 1000-kernel weight and number of fertile tillers. HD 1220 is a good general combiner to reduce plant height; Rmada is a good general combiner to shorten the duration of the vegetative growth period. A 901 × Wifak is a best specific combiner to reduce plant height, to increase 1000-kernel weight and number of grains per spike. AA × MD is a best specific combiner to reduce duration of the vegetative period, plant height and to increase the number of kernels per spike. A 899 × Wifak showed the highest heterosis for grain yield, accompanied with positive heterosis for the number of fertile tillers and spike length and negative heterosis for 1000-kernel weight and the number of days to heading. The preponderance of nonadditive type of gene actions clearly indicated that selection of superior plants should be postponed to later generations.