Euphytica (2013) 189:111–122 DOI 10.1007/s10681-012-0731-z Generation mean analysis of leaf chlorophyll concentration from mid-silking to physiological maturity in some tropical maize (Zea mays L.) genotypes under low and high nitrogen dosages A. A. Mushongi • J. Derera • P. Tongoona N. G. Lyimo • Received: 20 August 2011 / Accepted: 29 May 2012 / Published online: 27 June 2012 Ó Springer Science+Business Media B.V. 2012 Abstract Genetic control of the leaf chlorophyll concentration (LCC) in tropical maize (Zea mays L.) genotypes has not been established, especially at different reproduction growth stages under low and high nitrogen (N). A generation mean analysis study was conducted to identify the genetic effects that govern the LCC from mid-silking to physiological maturity under high (120 kg N ha-1) and low (60 kg N ha-1) (N) regimes for two seasons in a randomized complete block design with two replications during main and offseason of year 2009 at Inyala Agricultural Training Institute in Mbeya, Tanzania. This study revealed that mid-parent heterosis for the LCC increased with growth stages under both N dosages but it was more pronounced under low N dosage. Generally, genetic effects for LCC were more easily estimable under high than under low N dosage. Additive gene effects decreased with growth stage, whereas dominance effects increased, irrespective of the genotype and N regime. All genetic effects except A. A. Mushongi (&) Agricultural Research Institute (ARI)-Uyole, Mbeya, P.O. Box 400, Tanzania e-mail: [email protected] A. A. Mushongi J. Derera P. Tongoona African Centre for Crop Improvement, University of KwaZulu-Natal, Pietermaritzburg, South Africa N. G. Lyimo Highlands Seed Growers Ltd, Mbeya, Tanzania dominance 9 dominance interaction were significant at some stages only in cross T20 9 NG8. The ratio of fixable (additive plus additive 9 additive) to the non-fixable (dominance plus additive 9 dominance, and dominance 9 dominance) genetic effects was 74–26 % under high N dosage, and 35–65 % under the low N dosage for the T20 9 C58, while for the T20 9 NG8, the ratio was 37–63 % under high N dosage, and 20–80 % under the low N dosage. The trend observed suggest that fixable effects are preponderant under the high N dosage in one cross, while non-fixable effects prevailed under the low N dosage in the other cross. Keywords Genetic effects Growth stages Leaf chlorophyll concentration Nitrogen Tropical maize Introduction The genetic control of post-silking leaf chlorophyll concentration (LCC) and its retention to physiological maturity has not been resolved, especially under contrasting soil nitrogen (N) conditions in tropical maize (Zea mays L.) plant. The LCC relates directly to the amounts of plant and soil N status (Hawkins et al. 2007). Thus genotypes which retain functional LCC until physiological maturity (SG) hold the high N dosage and water in their leaves (Thomas and Smart 1993), high N content in kernels and they yield higher (Robson et al. 2001) than senescent genotypes 123 112 particularly in stressful environments. Such genotypes have strong root systems that allow prolonged N uptake during grain-filling (Rajcan and Tollenaar 1999), they minimise foliar diseases (Robinson 1996) and heat and drought stresses (Earl and Tollenaar 1997; Bänziger et al. 2000; Joshi et al. 2007), when compared to senescent genotypes. Because the SG is an adaptive trait, non senescent genotypes would therefore mitigate stresses that affect maize around the grain-filling stages. However, Joshi et al. (2007) could not come up with a conclusive answer whether maize genotypes that stay-green for a longer period require additional N or not. Contentiously, Worku et al. (2007) reported that small-scale maize farmers in sub-Saharan Africa apply less than 20 kg N ha-1. It is therefore crucial to comprehensively study the inheritance of the LCC character in tropical maize, particularly under low N conditions, because farmers apply less N to maize, soil N is volatile, the soils are inherently deficient of the N, and prices for the N fertilisers are higher than farmers can afford. In tropical areas maize is produced under harsh conditions, the seasons are getting shorter and the rains are becoming unpredictable thus failure to realise investments from fertiliser applications. In these areas the maize genotypes are source-limited such that incorporating the SG trait in these genotypes would improve grain yields by accelerating grain-filling duration (Khanna-Choppra and Maheswari 1998; Bänziger et al. 2000; Subedi and Ma 2005). Cavalieri and Smith (1985) and Willman et al. (1987) reported on the switching role of photosynthetic organs other than leaves to supply the sink with the assimilates when defoliation occurs in maize, unfortunately this may not recover grain yield once the LCC has been reduced before grain-filling has been completed. Genotypic variation under low N conditions and the fact that N metabolism plays a major role in low N than it does in optimum N conditions is the essence of G 9 N interaction (Bertin and Gallais 2000). Care must therefore be taken when comparing genotypes that widely differ in flowering dates and plant stature, especially under stress due to differential accumulation of dry matter. The LCC stabilises more from the periods of silking to physiological maturity than during the vegetative stages (Martinez and Guiamet 2004; Subedi and Ma 2005), suggesting that breeders should select for LCC 123 Euphytica (2013) 189:111–122 during this period. The Chlorophyll Meter (Model SPAD-502 Camera Minolta Co. Ltd, Japan) readings correlate highly with other methods used to determine the status of N in plants and soils, indicating that the meter may estimate the LCC precisely. The meter is non-destructive so it allows for the collection of other data on the same leaves. Little literature that exists supports the polygenic inheritance of the LCC character, such that the estimation of individual genes is not applicable. Thus, methods which detect and estimate the amount and type of genetic effects rather than the individual genes become relevant. Generation mean analyses (GMA) has been used to detect the genetic effects of quantitatively inherited traits in maize and other crops (Azizi et al. 2006; Checa et al. 2006; Smith et al. 2009; Shashkumar et al. 2010). GMA was therefore conducted to determine gene action and inheritance of the LCC character from mid-silking to physiological maturity in maize genotypes under high and low N dosages. Materials and methods Plant materials Three maize (T20, C58 and NG8) inbred lines contrasting for post mid-silking LCC character were selected during screening in season 2007/08. Inbred line T20 was a common female parent to both F1 crosses T20 9 C58 and T20 9 NG8 (Table 1). The F1 was advanced to F2, and then backcrossed to the respective parents to generate BCP1 and BCP2 to constitute six generations of each cross for the study. Inbred parent T20 is a locally adapted, high yielding commercial inbred line with high combining ability for early maturity. All the three inbred parents were free of foliar diseases which would affect the SPAD readings if these lines succumbed to such diseases. Design and management of experiments The trials were conducted at the Inyala Agricultural Training Institute (S08o51.0110 and E033o38.2270 and above sea level is 1520 m) in Mbeya, Tanzania. Two harvesting crops were obtained with supplemented irrigation in dry and wet seasons in 2009. The same field plots were maintained throughout the study. The Euphytica (2013) 189:111–122 113 Table 1 Maize inbred lines used for generation mean analyses Inbred line Pedigree of inbred line Source of inbred line Status of LCC (SPAD values) $ # T20 UYL 15-11-1-8-5 Tanzania Low H C58 MAS[MSR/312]-117-2-2-1-B 9 5/MAS[202/312]86-1-3-1-B 9 4 CIMMYT-Harare High H NG8 TZE-Y Pop Co S6 Inb 62-3-3 IITA-Nigeria High H LCC leaf chlorophyll concentration, $ female inbred parent, # male inbred parent two environments were 120 and 60 kg N ha-1, which correspond to the recommended fertiliser rates (or high N dosage) and reduced N fertiliser rates, respectively. Phosphorus was applied at the recommended rate of 30 kg P ha-1 for the study area in the form of P2O5. In each season six generations of each cross were field evaluated in a randomized complete block design in two replications, 5.1 m plot length at 75 cm between and 30 cm within rows under two N dosages in two-row plots for non-segregating generations (P1, P2, and F1) to make 36 plants, and seven-row plots for segregating generations (F2, BCP1, and BCP2) to make 126 plants. Only two replications were used because the number of individual plants in each evaluated generations was adequate to allow estimation of the genetic effects. Allard and Bradshaw (1964) reported that the gradients related to low soil fertility are at least systematic, as compared with random stresses such as drought, which justifies further use of two replications in two seasons in the present study. According to Kang (1994) a few individuals are required for non-segregating generations, whereas many individuals were required for segregating generations because these generations undergo segregation and recombination. Recently harvested seeds in the same season for all generations of the two crosses were planted each season to minimise variation in genotypes that may lead to uneven germination and low plant vigour if seeds from different seasons were used thus affecting plant stand and plant stature. Prior to planting, the soils and irrigation water were sampled and subjected to full standard analysis. All standard agronomic practices were followed. Measuring the traits The data were collected for the LCC character at four intervals of 14 days. These intervals were considered as separate traits since the LCC character is affected by time. The mid-silking days stage was set as a reference point to collect the LCC data in SPAD values using the SPAD meter. Silking was considered when the silk had extruded by 0.5–1.0 cm. The data were recorded on individual plants from the second leaf below the flag leaf after each generation had reached that stage. Such a leaf was assumed to be relatively free from mechanical injury and shading that would affect SPAD meter values. The data were taken between 09:30 and 11:30 a.m. The leaf was cleared of dust and water before the recording of SPAD meter data. The data were recorded at three points: top, middle and at the base of the leaf, and averaged to get a single SPAD meter value per plant following the six reproductive stages in maize denoted as R with each stage regarded at a seven-day interval (Lafitte 1994; Hawkins et al. 2007), which meant after every 2 weeks with regards to this study. The SPAD meter values at the mid-silking stage reflected R1 and were recorded as (LCC1), R2 = blister stage, R3 = milk stage (LCC2), R4 = dough stage, R5 = dent stage (LCC3) and R6 = physiological maturity, thus (LCC4) was recorded in the 7th week from the midsilking stage––the stages are as defined according to Lafitte (1994) and Hawkins et al. (2007). Data analysis Genetic assumptions for generation mean analyses (GMA) were observed as defined by Wright (1968), Mather and Jinks (1977), and Lande (1981).The SPAD meter data were analysed in SAS software using the PROC GLM and PROC REG procedures and modules. First, the overall model was submitted to analysis to check the significance of main and interaction effects: Y = replication ? generation ? nitrogen ? season ? generation 9 nitrogen ? generation 9 season ? generation 9 nitrogen 9 season ? error, where Y = overall mean for trait. The replications and 123 123 **, * Data statistically significant at p B 0.0001, 0.05, respectively 11.40 59.7 SD silking date, SV source of variation, DF degrees of freedom, Gen generation, R coefficient of determination, CV coefficient of variation, Pr probability level, F F distribution 2 21.47 16.58 12.75 13.50 12.54 24.78 17.86 12.06 – CV ( %) 13.57 16.90 37.50 84.7 30.5 37.82 26.59 91.2 43.8 26.42 19.07 73.5 32.1 43.85 40.02 67.1 69.8 22.09 – R2 ( %) 76.6 22 Error mean square 26.59 0.769 0.597 0.847 0.896 0.845 0.305 0.912 0.588 0.158 0.438 0.735 0.0295* 0.0825 0.321 0.671 0.0838 0.0339* 0.698 0.766 5 6 Gen 9 season Gen 9 season 9 N 0.0532 0.345 0.109 0.344 0.242 0.375 0.155 0.343 0.311 0.665 0.662 5 Gen 9 N 0.306 \0.0001** \0.0001** 0.305 0.777 0.0017* 0.0001* 0.0138* 0.142 0.0051* 0.0005* 0.607 0.649 0.0167* 0.0016* 0.763 0.351 0.003* 0.0115* 5 1 Generation Season 1 0.389 0.0005* 0.0025* 0.0095* 0.0056* 0.0417* 0.0004* 0.0017* 0.0029* 0.0018* Maturity Dent Milk Nitrogen 0.052 Average Pr [ F Maturity Dent Milk Mid-SD Mid-SD Average Pr [ F T20 9 NG The nitrogen (except at mid-silking stage in the T20 9 C58) and generation main effects were statistically significant in both crosses (Table 2). The R2 values were less than 50 % at maturity stage in the T20 9 C58 and at mid-silking and dent stages in the T20 9 NG8. Both parents (P1 and P2) were not statistically significantly different (LSD0.05) at all grain-filling stages under the low N dosage (LN) for both crosses, hence the data were not submitted for GMA, as the criteria for contrasting parents was not met under the LN dosage conditions. The High N dosage (HN) trials had statistically significant parents for all growth stages, except at the physiological maturity stage in the T20 9 C58 (Table 3a). The SPAD meter values peaked at the milk stage and began to drop at the dent stage and worsened at maturity, regardless of generations and N regimes. Generally, the mid-parent heterosis (MPH) built up with growth stages, increasing sharply at the dent stage in both crosses and N conditions, although this was more pronounced under the LN dosage than the HN dosage as indicated at the average of growth stages (Tables 3 a, b). T20 9 C58 Main- and interaction effects, and mean separation DF Results SV seasons were considered random, while generations and nitrogen levels were fixed effects. The GMA were performed as described by Kang (1994), and the following model was used: Y = m ? aa ? bd ? a2aa ? abad ? b2dd, where Y = generation mean, m = mean of the F2 generation as base population and intercept values, and other parameters in the formulae for main and interaction genetic effects and associated coefficients are as defined by Gamble (1962) and Kang (1994). Separation of means was performed using the LSD procedure for pair-wise mean comparisons (p B 0.05) (Steel and Torrie 1980) in the software of SAS. The narrow sense heritability (h2) estimates were calculated following Warner (1952) as: h2 = 100 9 [(2r2F2 - (r2BCP1 ? r2BCP2)/ r2F2], where r2F2, r2BCP1, and r2BCP2 = variances of F2, BCP1 and BCP2, respectively. The numerator part in the formula of the h2 estimate represents additive genetic variance, whereas the denominator represents the phenotypic variance. Euphytica (2013) 189:111–122 Table 2 ANOVA summary of main- and interaction effects on the statistical significance (Pr [ F) of leaf chlorophyll concentration during grain-filling stages in the T20 9 C58 and T20 9 NG8 crosses of maize over N dosages in two seasons 114 (a) Cross T20 9 C58 40.7 39.5 39.2 38.9 32.5 0.3 BCP2 F1 F2 BCP1 P1 MPH ( %) 38.2 36.6 35.6 35.6 31.3 2.4 P2 BCP1 F2 F1 P1 MPH ( %) ABC 42.9 37.6 36.0 32.3 10.1 BCP1 F2 BCP2 P1 MPH ( %) 40.8 40.4 F1 BCP2 Low N AB 43.1 A A C BC AB 46.0 F1 A B AB AB AB AB A B AB AB AB AB P2 High N (b) Cross T20 9 NG8 41.3 BCP2 Low N 46.2 P2 High N A F1 BCP2 P1 F2 BCP1 BCP2 F1 P2 P1 BCP1 F2 F1 P2 BCP2 P1 BCP1 F1 F2 BCP2 P2 Generation Generation Mean Milk stage Mid-silking stage 43.7 46.6 17.4 33.3 39.4 42.9 45.9 47.3 47.3 8.1 30.9 32.5 34.2 37.7 38.8 45.4 32.8 5.6 40.9 41.5 42.6 44.7 45.8 Mean AB A C B AB A A A B B B AB AB A B A A A A A BCP2 F1 P1 BCP2 BCP1 F2 P2 F1 P1 P2 BCP1 F2 F1 BCP2 P1 BCP1 P2 F2 F1 BCP2 Generation Dent stage 40.7 43.4 31.8 29.5 39.0 40.5 40.8 41.2 46.6 61.2 24.1 26.4 32.5 33.0 37.4 40.7 30.0 27.1 36.3 39.2 40.2 41.1 44.0 Mean AB A B A A A A A C BC ABC ABC AB A B AB A A A A BCP2 F1 P1 P2 F2 BCP1 BCP2 F1 F2 P2 P1 BCP1 BCP2 F1 P1 P2 BCP1 F1 F2 BCP2 Generation Maturity stage 27.3 38.1 78.0 18.8 27.7 7 34.30.6 35.9 41.4 57.6 18.5 18.6 19.4 24.1 29.2 29.9 20.4 26.4 29.9 31.7 31.8 32.8 34.2 Mean B A C B B AB AB A B B AB AB AB A C AB A A A A BCP2 F1 P1 F2 BCP2 P2 BCP1 F1 P1 F2 P2 BCP1 F1 BCP2 P1 BCP1 F1 F2 P2 BCP2 Generation 38.7 41.5 28.9 28.7 37.1 39.2 40.6 40.6 44.6 24.7 26.4 30.3 30.5 31.4 35.5 39.2 28.9 11.2 36.9 38.5 38.8 40.4 40.9 Mean Average of stages A A C B B AB AB A C BC BC BC AB A B A A A A A Table 3 Least significant differences in pair-wise means comparison tests and heterosis under the HN and LN dosages across the grain-filling stages of six generations in the maize crosses T20 9 C58 and T20 9 NG8 Euphytica (2013) 189:111–122 115 123 MPH mid-parent heterosis = [(F1-MP)/(MP)] 9 100 (Hill et al. 1998). P1 inbred parent 1, P2 inbred parent 2, F1 single cross between P1 and P2, F2 selfing F1, BCP1 P1 crossed back to F1, BCP2 P2 crossed back to F1, LCC leaf chlorophyll concentration (SPAD values), HN high nitrogen fertiliser application rate (120 kg N ha-1), LN low nitrogen fertiliser application rate (60 kg N ha-1) B Means with the same letter in the column of each cross and N dosage are not statistically significantly different. a: 0.05, 17 error degrees of freedom for t distribution B 40.4 27.8 P1 C 19.0 94.6 45.0 P2 C 29.4 P1 C 30.7 17.9 MPH ( %) P1 31.1 P1 28.0 B 30.3 BCP1 BC AB AB BCP1 33.8 BCP1 34.4 BC BCP1 P1 C 30.4 20.2 31.3 32.3 F2 P2 BC BC 25.5 C BC P2 BCP1 F2 BC 30.5 37.5 ABC 123 F2 P2 34.6 F2 AB 38.1 P2 Mean Generation Mean Generation 35.9 F2 33.0 Mean Generation Generation Mean 22.7 Mean Generation Average of stages Maturity stage Dent stage Milk stage Mid-silking stage Table 3 continued B Euphytica (2013) 189:111–122 B 116 Genetic effects Genetic effects were only estimated when the data showed a clear statistically significant difference of P1 from P2 means based on the LSD0.05 values as required by GMA model assumptions. Thus an estimation of genetic effects was only made under high N (HN) dosage (Table 4). Only positive additive effects were statistically significant for all traits under all growth stages in the T20 9 C58. The R2 values were marginally greater than 50 % at all stages except at mid-silking and dent stages. The R2 values were C70 % at the milk stage and mean LCC for the T20 9 NG8. All the growth stages had statistically significant positive additive genetic effects. The dominance genetic effects were statistically significant and positive at the milk stage. The epistatic genetic effects of negative additive 9 dominance type were statistically significant at mid-silking, dent and average of growth stages, while the positive epistatic genetic effects of additive 9 additive nature were significant at milk stage. Ratio of fixable to non-fixable genetic effects All genetic effects under both N dosages were shown because of small sums of squares they contributed to the total sums of squares of the models. The ratio of fixable (a, aa) to non-fixable (d, ad, dd) genetic effects of a particular trait within N dosage adds to 100 % (Table 5). In the T20 9 C58 under the HN dosage, the fixable effects predominated at all grain-filling stages, however, the fixable and non-fixable effects were equal at the physiological maturity stage. In the LN dosage, both effects prevailed at all stages, except that the fixable effects were negligible at the dent stage. The mid-silking and milk stages had equal proportions of fixable and non-fixable effects. Overall, the ratio of fixable to non-fixable effects was 73.90:26.10 under HN dosage and 35.10:64.67 for LN dosage. Whereas for the T20 9 NG8 under HN dosage, the fixable effects were only high at the milk stage, at about 71 %; the rest i.e. about 30 % of the non-fixable effects predominated at other growth stages. In the LN dosage, apart from at the mid-silking stage, other generations had larger non-fixable effects than the fixable genetic effects. Generally, the ratio of fixable to non-fixable effects was 37.43:62.57 for the HN dosage and 19.97:80.11 under the LN dosage. The general trends Euphytica (2013) 189:111–122 indicate that the additive genetic effects decreased as growth stage increased, while the dominance effects increased at later growth stages, irrespective of genotypes and N regimes (data not shown). Narrow sense heritability The narrow sense heritability (h2) estimates were highest at the dent (54 %) and milk (62 %) stages for the high and low N, respectively for the T20 9 C58. The mid-silking stage had more or less equal estimates of h2 of about 40 % each under both N regimes. In the T20 9 NG8 under high N, only the milk and physiological maturity stages had positive h2 but the later stage had the highest positive h2 of about 46 %. The dent stage had the highest magnitude of negative h2 of about 100 %. Only the negative h2 of less than 10 % was observed under the low N dosage. Clearly the negative h2 was associated with data where P1 = P2. The h2 estimates increased from milk stage and reached 105 % at the physiological maturity stage in the low N dosage. In both crosses and N conditions, the h2 estimates for the mean LCC were comparable in sign and magnitudes. The h2 was positive at 44 % under high N dosage in the T20 9 C58 and it was about 54 % also of positive sign in the T20 9 NG8 under low N but only a 20 % negative h2 estimate was observed for the both crosses and N regimes. Discussion Mean separation of generations The main effects of N regimes and generations except at mid-silking date in the T20 9 C58 were statistically significant (Table 2) which allowed to proceeding for the GMA. The requirement for GMA of contrasting parents for the LCC character (P1 and P2), based on the mean separation test (LSD0.05) was only met under high N for all grain-filling stages in both crosses (Tables 3a, b). This may suggest that genotypic differences for the LCC character could be clearer under the HN than under the LN dosages. The results revealing LCC peaking at milk stage, irrespective of cross and N conditions, would suggest that leaf N is needed the most in maize at this growth stage. This may be called the linear graining-filling stage; any stress at this stage would result in irreparable effects, 117 since dry matter accumulation would be reduced and result in a low final grain yield. These findings corroborate Duncan et al. (1965), Beauchamp et al. (1976), and Weiland and Ta (1992) that leaf N must be maintained at optimum levels if high grain yield is desired in maize as no any other photosynthetic parts could compensate for loss of leaf N if stress comes at the milk stage. Genotypes that maintain higher levels of the LCC at and past the milk stage under HN and LN would therefore translate into a higher grain yield than that of genotypes which quickly lose LCC at similar conditions. The change in position of generations with genes that are of interest in replenishing declining LCC with grain-filling age and their consistency with N regimes could demonstrate both adaptive and performance phenomena of the LCC character. This was the case between the superior parents, backcrossed progenies to superior parents for the trait, and F1 generations. And this could be associated with the phenomenon of heterosis observed in this study which Kang (1994) referred to as a measure of adaptability of a genotype. The changing positions of the generations for LCC could be used as markers or indications that grain-filling is taking place, further demonstrating the response of genotypes to N conditions and/or the status of soil N. Furthermore, the increase of heterosis with grain-filling stages and poor environments (i.e. at low N dosages) would prove the predominance of dominance genetic effects at physiological maturity (envisaged in next section of this paper) and as the environment got impoverished. Mather and Jinks (1982) reported that heterosis levelled off linearly as the production environment improved, thus partly confirming the findings of the present study. Regarding the shift of heterosis with age from low at the early grain-filling stages (implying negligible non-allelic interactions), to high heterosis at later growth stages, which suggest a prevalence of non-allelic genetic effects, no literature is available to strongly support this finding. The SPAD meter values were consistent with generations, crosses, and N regimes, which suggest that the SPAD-502 Chlorophyll Meter was the appropriate and precise technique to quantify the trends of LCC character from kernel set and maintenance until physiological maturity. It further demonstrates that the N regimes used for evaluation of the LCC character were ideal, since HN dosage had consistently higher SPAD meter mean values than LN dosage. 123 123 35.66 ± 12.89** Mean stages 4.13 ± 1.97* 20.57 ± 10.15** 38.93 ± 17.43** -4.54 ± 16.96 22.89 ± 8.88** Milk Dent Maturity Mean stages 34.32 ± 20.75 89.05 ± 39.78** -19.23 ± 40.10 48.52 ± 23.84* -1.32 ± 35.75 16.97 ± 29.96 34.26 ± 46.63 20.28 ± 37.26 21.22 ± 31.69 5.08 ± 35.53 d 11.27 ± 8.49 27.34 ± 16.11 -10.48 ± 16.65 19.55 ± 9.71** 2.47 ± 14.69 2.57 ± 12.34 2.29 ± 19.26 2.91 ± 15.35 5.45 ± 13.02 1.91 ± 14.62 aa Genetic effects -14.97 ± 5.54** -5.33 ± 10.70 -20.62 ± 10.41* -8.87 ± 6.45 -32.33 ± 9.55** -4.19 ± 7.94 -3.12 ± 12.11 5.65 ± 9.84 -5.68 ± 8.45 -11.96 ± 9.48 ad -12.83 ± 12.94 -42.12 ± 25.11 20.43 ± 24.82 -21.70 ± 14.89 7.82 ± 22.21 -10.26 ± 18.53 -23.05 ± 28.80 -10.23 ± 23.08 -13.52 ± 19.61 -2.52 ± 21.97 dd 76.85 69.34 54.10 71.49 52.15 53.70 54.34 46.06 51.85 38.65 R2 (%) 1.50 4.20 2.85 1.49 2.56 2.25 5.17 2.71 2.05 2.49 CV (%) ***, **, * indicates significant at p B 0.001, 0.01, 0.05, respectively R2 coefficient of determination, CV coefficient of variation, LCC leaf chlorophyll concentration (SPAD values), m mean of the F2 generation and intercept, a pooled additive effects (homozygote loci), d pooled dominance effects (heterozygote loci), aa additive 9 additive (homozygote 9 homozygote) interactions, ad additive 9 dominance (homozygote 9 heterozygote) interactions, dd dominance 9 dominance (heterozygote 9 heterozygote) interactions 5.85 ± 1.17** 7.05 ± 1.39*** 5.79 ± 2.25** 40.20 ± 15.29** 6.77 ± 2.15** 5.81 ± 1.70** Mid-silking T20 9 NG8 4.65 ± 2.32* 4.72 ± 2.07** 34.32 ± 16.04** 28.26 ± 19.99 Dent Maturity 6.75 ± 2.11*** 6.56 ± 1.83** 36.54 ± 15.23** 37.92 ± 13.68** a Milk m T20 9 C58 Mid-silking Growth stage Table 4 Estimated gene effects of LCC under high nitrogen dosage in the T20 9 C58 and T20 9 NG8 crosses 118 Euphytica (2013) 189:111–122 Euphytica (2013) 189:111–122 Genetic effects With the T20 9 C58, only the additive genetic effects conditioned the LCC at all the grain-filling stages under high N regime. Predominance of additive effects implied that recurrent (RS) or any form of cyclic selection could be effective for the LCC at all growth stages. This supports the idea that the genetic potential of a genotype is well exploited under ideal production conditions. It may suggest further that only inbred lines could be generated at all grain-filling stages from segregating generations for the LCC under high N. However, significant differences for only additive genetic effects for the LCC under HN dosage contradicts Elings et al. (1997), Bänziger and Lafitte (1997), Bänziger et al. (2000) and Worku et al. (2007), who reported a preponderance of additive genetic effects in secondary traits, especially under low N. The LCC has been associated with the physiological maturity of genotypes in that the greater the time it takes to reach maturity, the more the LCC becomes relevant. On the other hand, shorter maturing genotypes may lose the LCC earlier and faster under similar conditions. In short-season areas, therefore, the high LCC would translate to high yield (Tollenaar and Daynard 1978a, b), as opposed to long season or varieties with extended growth. This suggests that early-maturing or short-season cultivars are source-limited, such that the extended LCC may increase dry matter accumulation and so result in improved grain yield. Both fixable (a, and aa) and non-fixable (d, ad, and dd) genetic effects for the T20 9 NG8 were preponderant under HN dosage. This may suggest that reciprocal recurrent selection (RRS) could be employed for the LCC. Epistasis was observed for the T20 9 NG8, and it could be defined as any interaction between genes at non-homologous loci (Sprague et al. 1962). A greater preponderance of epistatic interactions in the T20 9 NG8 than in the T20 9 C58 supported the hypothesis that epistasis is real in maize, although it is specific for this cross, trait and environment, as opposed to many researchers who ignore such phenomenon. This further suggests that positive epistasis could have contributed significantly to heterosis, which was common in the T20 9 NG8. Generally, the R2 values were slightly above 50 % and about 70 % for the T20 9 C58 and T20 9 NG8, respectively suggesting that the genetic effects for the LCC character would be more easily detected in and 119 estimated for the latter, rather than the former cross. In both crosses and at all growth stages for high N regime the sign of the genetic effects refer to the relative position of the parents to the mid-parent for the case of dominance effects plus associated epistatic effects. In short, this refers to the heterosis (Shashkumar et al. 2010). With regards to the additive genetic effects and related epistatic effects, the signs imply which parent was chosen as superior or inferior for the studied traits (Azizi et al. 2006). The positive sign observed for additive genetic effects would therefore imply that the choice of parents was appropriate during mating since the individual growth stages for the LCC were considered as separate traits. Viana (2006) reported the additive 9 additive and additive 9 dominance to be inestimable, such that their relative importance is difficult to assess. This assertion could further confirm the unknowns on the inheritance of the LCC in maize. The results of the present study do not completely agree with other reports because no systematic work has been done to quantify the LCC across grain-filling stages under high and low dosageses of the N in tropical maize. Thus, the inheritance of the LCC is not fully understood but it may be deduced that the LCC is only estimable under the ideal N conditions. Ratio of fixable to non-fixable genetic effects The ratio of fixable to non-fixable genetic effects were estimated under both N regimes since the genetic component sums of squares contributed little to total sums of square for the models. The separation of total genetic effects into individual genetic effects (i.e. fixable and non-fixable) for the LCC during the grainfilling stages in maize under high and low N conditions seem not to be documented in literature. In T20 9 C58, the ratio of fixable to non-fixable effects of 73.90–26.10 % under HN and 35.10–64.67 % for LN suggested that fixable genetic effects govern the LCC under high N, although dominance genetic effects prevailed under low N. There was a ratio of fixable to non-fixable genetic effects of 37.43–62.57 % for HN and 19.97–80.11 % for LN in T20 9 NG8. These ratios did not agree across the two crosses and N dosages (Table 5). In T20 9 C58, fixable genetic effects predominated at HN dosage whereas non-fixable genetic effects were large under LN dosage while in T20 9 NG8, non-fixable effects prevailed under both regimes of N but with the magnitude of non-fixable 123 120 Euphytica (2013) 189:111–122 Table 5 Ratio of fixable to non-fixable gene effects computed from their relative contribution to the models’ total sums of squares over growth stages in two crosses under high and low nitrogen dosages Growth stage T20 9 NG8 T20 9 C58 Fix. HN Non-Fix. Fix. LN Non-Fix. Fix. HN Non-Fix. Fix. LN Non-Fix. 36.87 Mid-silking 84.31 15.68 62.73 37.28 25.76 74.23 62.12 Milk 88.74 11.26 62.75 37.26 70.98 29.03 18.31 81.69 Dent 64.34 35.67 4.06 95.93 28.08 71.92 3.75 96.25 Maturity 51.06 48.94 22.05 77.94 19.34 80.66 0.11 99.89 Mean grain fill stages 81.03 18.97 24.42 75.58 42.97 57.03 15.54 85.86 -1 Fix. fixable, Non-fix. non-fixable, HN high nitrogen fertiliser application rate (120 kg N ha ), LN low nitrogen fertiliser application rate (60 kg N ha-1) effects increasing at LN relative to HN. This may further indicate the difficulty in breeding for the LCC as Subedi and Ma (2005) and Hawkins et al. (2007) suggested. The general trend for both crosses and N dosages suggested that additive and dominance genetic effects for the LCC decreased and increased respectively across the grain-filling stages. Narrow sense heritability Only a few estimates of narrow sense heritability (h2) were consistent with fixable genetic components in Table 5. The consistency of h2 with genetic effects was more evident in T20 9 C58 than in the T20 9 NG8. Effective breeding strategies could be expected for the LCC at dent stage under HN, and milk stage in LN dosage, as the h2 estimates of 54 and 62 % respectively were observed in the T20 9 C58. Equal h2 of about 40 % at the mid-silking stage, under both N conditions, would suggest gain from selection in both N environments for the trait. In addition, effective breeding strategy is expected only under the HN dosage in T20 9 NG8 due to h2 of about 46 % that was observed at physiological maturity (i.e. SG trait). Under the low N dosage, the dent, physiological maturity and average of growth stages would benefit from selection. The h2 for the mean LCC was 44 % for T20 9 C58 under HN and 54 % for T20 9 NG8 under the LN dosage, which further suggests a lack of consistency for the LCC, particularly under the N dosages. The inconsistency of h2 estimates evident in this study could be associated with the polygenic nature or uncertainty of the inheritance of the LCC. Furthermore, negative h2 estimates observed in the 123 present study could partly be attributed to cases where P1 equalled P2, especially under low N conditions where GMA assumptions could not hold. Unusual estimates of h2 have been reported in literature. Robinson et al. (1955) reported that negative values of h2 estimates can be assumed to be zero, whereas Dudley and Moll (1969) and Robinson et al. (1951) cited by Amand and Wehner (2001) proposed that such estimates they be presented for reference. Other researchers reported that these negative estimates could be due to the effects of small sample size, environment, and used techniques. Conclusion Generally, it was established that different gene effects govern the LCC at different grain-filling stages and this could be a function of the examined genotypes, N dosage, time of maturity and the interaction of these factors. However, this study failed many of the assumptions of requirements of the GMA. Some of the assumptions of GMA are lack of dominance and epistasis, which prevailed in this study. The additive and non-additive genetic effects increased and decreased consistently with mid-parent heterosis across age and N, regardless of the genotype. And this was expressed better under low N than under high N, pointing to the possibility of taking advantage of the heterosis for LCC under low N condition leaving development of inbred lines at the early grain-filling stages. Inconsistency of heritability estimates for the LCC with other genetic parameters confirmed that h2 is specific to the genotype, environment (i.e. N) and trait. 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