Keywords

Wheat physiological and morphological traits are closely related to yield. From a physiological point of view, yield potential is the general performance for assimilates from unit photosynthesis furthest transfer to harvest organs. Final yield is formed by comprehensive coordination of source–sink translocation, that is to say the coordination among the accumulating rate of photosynthate, the distributing ability to grain, duration of distribution, and the turnover capacity of assimilates which stored in stem, leaf, and sheath. The production and transport of photosynthate product has direct relationships with aboveground plant type a leaf type and underground root. Therefore, for the improvement of wheat physiological trait, root, overground plant morphology, and plant anatomy features are considered in the first place, meanwhile several traits are related to photosynthetic characteristics, i.e., canopy structure, light-intercepting capability, photosynthetic capacity, and the storage and turnover capacity of carbohydrate. Hence, this chapter will connect physiological traits with morphological traits of wheat to discuss.

Most of the physiological traits are quantitative characters, which are controlled by multiple genes and easily affected by environmental conditions. So, genetic analyses of wheat physiological traits are started from QTL mapping and then discussed the number of genes, gene effect, and interaction effect. For example, for wheat root, researchers always focus on QTL analysis under abiotic stress; for photosynthetic characteristics, researchers always focus on QTL analysis of photoelectric energy conversion system, chlorophyll, fluorescence parameter, photosynthetic rate, stomatal conductance, flag leaf senescence, etc. Although QTL analysis of physiological traits has made good progress, but these results are difficult to be used for genetic improvement of wheat, because phenotypic determination of physiological traits has more difficulty in multiyear and multisite trails; moreover, mechanism of QTLs and those interaction effects are further complications when comparing to yield trait. These QTLs results have few direct applications in wheat genetic improvement. Hence, genetic analysis of physiological traits is needed to be deeper researched, in order to obtain molecular markers for improving wheat physiological traits, and then speed up the genetic improvement of physiological character and enhance yield and quality of wheat.

6.1 QTL Mapping of Photosynthetic Characters in Wheat

Photosynthesis is closely related to crop yield. The purpose of agricultural production is to enhance photosynthesis of crop, accumulate more organics, and then increase yield, according to various agricultural technical measures. Hence, photosynthesis is the basis of enhancing crop yield, while breeding varieties with high photosynthetic efficiency is an important approach to improve crop yield. Researches related to QTLs analysis of physiological traits in rice (Nagata et al. 2002); soybean, sorghum (Ritter et al. 2008); barley (Guo et al. 2008); maize (Hund et al. 2005; Leipner et al. 2008; Pelleschi et al. 2006); cotton, and sunflower, etc., were conducted. However, similar researches for wheat (Triticum aestivum L.) are relatively few. The recent development of molecular markers and measuring technology related to photosynthesis, QTL analysis of wheat has started. However, it is difficult to precisely determine phenotype of photosynthetic property, especially photosynthetic property for population, because physiological traits are greatly influenced by environment and mechanism of photosynthesis is complex. Meanwhile, the determining methods have limitations. So far, most of the researches referenced QTL analyses of physiological traits were focused on chlorophyll content at seedling stage, dry matter accumulation, leaf photosynthetic rate, stomatal conductance, transpiration rate, inter-cellular CO2 concentration, and leaf fluorescence parameters, etc. Further, QTL analysis of photosynthetic characters of population in field was few. Therefore, in this study, a set of double-haploid lines (DHLs) derived from a cross of two elite Chinese wheat cultivars were used to map QTLs for photosynthesis-related traits. And the purposes of this study were to obtain closely linked molecular markers that could be used for marker-assisted selection in wheat breeding programs.

6.1.1 QTL Mapping of Photosynthesis Characters of Wheat in Field

6.1.1.1 Materials and Methods

6.1.1.1.1 6.1.1.1.1 Materials

One hundred and sixty-eight DH lines derived from the cross of Huapei 3 (HP3)/Yumai 57 (YM57) were used as materials.

6.1.1.1.2 6.1.1.1.2 Planting and Processing in Field Trails

The field trials were conducted on the experimental farm at Shandong Agricultural University (Tai’an, China, 36° 57′N, 116° 36′E) in 2005–2006 and 2006–2007, and in Suzhou Academy of Agricultural Sciences, (Anhui province) in 2006–2007, providing data for three environments. The experimental field consisted of a randomized block with two replications. In the autumn of 2005, all DH lines and parents were grown in a plot with three rows in 2-m length and 25 cm between rows. In the autumn of 2006, the lines were grown in a plot with four 2-m rows spaced 25 cm apart. Crop management was carried out following the local practice. The soil was brown earth, in which the available N, P, and K contents in the top 20 cm were 40.2, 51.3, and 70.8 mg/kg, respectively. Before planting, 37,500 kg/hectare (ha) of farmyard manure or barnyard manure (nitrogen content, 0.05–0.1 %), 375 kg/ha of urea, 300 kg/ha of phosphorus diamine fertilizer, 225 kg/ha of potassium chloride, 15 kg/ha of zinc sulfate were added as fertilizers. Plots were irrigated in winter (December 1, 2006), and at jointing (April 3, 2007), anthesis (May 4, 2007), and grain filling (May 15, 2007). Topdressings of 300 and 75 g/ha urea were applied with the irrigation water at jointing and anthesis, respectively. In 2007–2008, all DH lines and parents were grown in a plot with five rows in 2-m length and 25 cm between rows. And two environments were set including environment I (2008 (+N)) and environment II (2008 (−N)). Moreover, base fertilizer, additional fertilizer, and irrigation in environment I were the same as 2006–2007, while there was no additional fertilizer in environment II, but base fertilizer and irrigation were the same as 2006–2007. Crop management was carried out following the local yield comparison trial.

6.1.1.1.3 6.1.1.1.3 Determining Methods
6.1.1.1.3.1 6.1.1.1.3.1 Determination of Wheat Chlorophyll Content at Grain Filling Stage in Field

For leaf chlorophyll content analyses, flag leaves were taken from five plants per plot at the grain filling stage (around 12 May) and saved in −80 °C ultra-low-temperature freezer. Samples of approximately 0.2 g of leaf tissue (taken from the middle of the leaves) were placed to 20 mL tubes and 10 mL 80 % acetone were added. All tubes were placed in dark at 4 °C for 24 h, and oscillated regularly till leaf tissue turned pale. And then OD was measured at 662 nm and 645 nm with a spectrophotometer UV-4802 (Unico instrument Co., Ltd, Shanghai, China). Chlorophyll a and b contents were estimated, adapting the procedure described by Porra et al. (1989).

6.1.1.1.3.2 6.1.1.1.3.2 Determination of Wheat Chlorophyll Fluorescence Parameters in Field

At jointing, anthesis, and grain filling stages, five uppermost leaves (fully expanded) of each line and the parents were sampled. And chlorophyll fluorescence was measured on the leaf using a portable fluorometer (Handy PEA; Hansatech Instruments, King’s Lynn, UK) at ambient temperature after 20-min adaptation of leaves to dark conditions on the day of sampling. The fast chlorophyll a fluorescence transient (OJIP) was induced by pulsed light with 3000 µmol m−2 s−1, and changes in fluorescence were registered during irradiation of 10 µs to 1 s with the initial rate of 105 data per second. The meaning and formula of each parameter for OJIP was as follows:

  • Fo, initial fluorescence, fluorescence level when plastoquinone electron acceptor pool (Qa) is fully oxidized;

  • Fm, maximum fluorescence, fluorescence level when Qa is transiently fully reduced;

  • Fv, variable fluorescence, Fv = Fm−Fo, maximum variable fluorescence, reflecting the reduction of Qa; and

  • Fv/Fm, maximum quantum efficiency of PSII, reflecting the maximum efficiency of PSII reaction center converting luminous energy.

6.1.1.2 Result and Analysis

6.1.1.2.1 6.1.1.2.1 QTL Mapping of Chlorophyll Content
6.1.1.2.1.1 6.1.1.2.1.1 Variation of Chlorophyll Content

Mean values of chlorophyll contents for the parents Huapei 3 and Yumai 57, as well as the 168 DH lines under three different environments are shown in Table 6.1. Male parent Yumai 57 had larger values than Huapei 3 for chlorophyll a and b contents, and the differences were visible. The distribution of chlorophyll a and b contents was continuous in the DH lines, showing their quantitative nature. Meanwhile, a transgressive separation was found from the DH lines (Figs. 6.1 and 6.2). Therefore, the distributive character of phenotypic data was suitable for QTL analysis. Correlation analysis showed that there was a highly positive correction between chlorophyll a and chlorophyll b, and the coefficient of correlation was 0.823**.

Table 6.1 Phenotypic data of leaf chlorophyll content (mg g−1 FW)
Fig. 6.1
figure 1

Frequency distribution of chlorophyll a content

Fig. 6.2
figure 2

Frequency distribution of chlorophyll b content

6.1.1.2.1.2 6.1.1.2.1.2 QTL Mapping and Effect Analysis for Chlorophyll Content

For chlorophyll, eight additive QTLs and three pairs of epistatic QTLs were detected (Tables 6.2 and 6.3). Among them, four additive QTLs and one pair of epistatic QTL had QTL × environment interaction effects.

Table 6.2 Estimated additive (A) and additive × environment (AE) interactions of QTL for chlorophyll content
Table 6.3 Estimated epistasis (AA) and epistasis × environment (AAE) interactions of QTL for chlorophyll content
6.1.1.2.1.3 6.1.1.2.1.2.1 QTL Mapping and Effect Analysis for Chlorophyll a Content

Four additive QTLs controlled chlorophyll a content were detected on chromosomes 1B, 4A, 5D, and 7A, respectively. And the variance of chlorophyll a content explained by the QTLs ranged from 0.84 to 12.95 %. Among them, qChla5D had the highest phenotypic contribution, which could explain 12.95 % of total phenotypic variation, and its positive allele originated from Yumai 57. Environmental interaction effect was detected in qChla5D, explaining 21.27 % of total variation.

Three pairs of epistatic QTLs associated with chlorophyll a content were identified on chromosomes 2A-2B and 2A-3B(2), respectively. The pair of QTL (qChla2Ab/qChla3B) involved in environmental interaction and explained 1.62 % of total phenotypic variation.

6.1.1.2.1.4 6.1.1.2.1.2.2 QTL and Effect Analysis for Chlorophyll b Content

Four additive QTLs controlled chlorophyll a content were on chromosomes 2D, 4A, 5A, and 5D, respectively. And the variance of chlorophyll b content explained by the QTLs ranged from 1.37 to 23.29 %. Among them, qChlb5D had the highest phenotypic contribution, which could explain 23.29 % of total phenotypic variation, and its positive allele originated from Yumai 57. Further, qChlb2D, qChlb4A, and qChlb5A involved in environmental interaction, which explained 5.81 % of total variation. No pair of epistatic QTL for chlorophyll b content was detected in this study.

6.1.1.2.2 6.1.1.2.2 QTL of Chlorophyll Fluorescence Parameters
6.1.1.2.2.1 6.1.1.2.2.1 Phenotypic Variations of Chlorophyll Fluorescence Parameters

Differences were found for chlorophyll fluorescence parameters between Huapei 3 and Yumai 57 (Table 6.4). The phenotypic value of PSII Fv/Fm for Huapei 3 was higher than Yumai 57 in all environments. In the environment of 2008 (−N), Fv/Fm for the two parents was higher than that in 2007 (+N) and 2008 (+N). The values of Chla/b were inconsistent in 2007 (+N) and 2008 (+N). No difference was found for Fo in nitrogen-deficiency environment and normal environment. The distribution of all parameters was continuous in the DH lines, and in accordance with normal distribution. Meanwhile, a transgressive separation was found from the DH lines.

Table 6.4 Phenotypic performance of chlorophyll content and chlorophyll a fluorescence of DH population in field test
6.1.1.2.2.2 6.1.1.2.2.2 QTL and Effect Analysis of Chlorophyll Fluorescence Parameters

A total of fourteen additive QTLs and five pairs of epistatic QTLs were identified for chlorophyll and fluorescence parameter, distributing on chromosomes 2A, 3A, 4A, 5A, 6A, 1B, 3B, 4B, 7B, 2D, 3D, 5B, 5D, and 6D, respectively (Table 6.5 and Fig. 6.3).

Table 6.5 Estimated additive (A) QTLs for wheat chlorophyll content and chlorophyll fluorescence of DH population in field test
Fig. 6.3
figure 3

The position of additive QTLs and epistatic QTLs conferring chlorophyll content and chlorophyll fluorescence of DH population in field test

Five additive QTLs associated with Chl a, Chl b, and Chla/b were mapped on chromosomes 4A, 2D, and 5D, respectively. Among them, two major QTLs (qChla5D and qChlb5D) flanked by Xwmc215 could explain 16.12 and 28.49 % of total variation, respectively. Other three additive QTLs (qChla4A, qChlb2D, and qChla/b5D) explained 8.24, 11.59, and 4.34 % of total variation, respectively.

Two additive QTLs controlling Fo were detected on chromosomes 2A and 5D, accounting for 20.62 % of total phenotypic variation. Further, the positive alleles of qFo2A and qFo5D came from Huapei 3 and Yumai 57, respectively, and which explained 9.54 and 11.08 % of phenotypic variation, respectively.

For Fm, two additive QTLs (qFm3B and qFm4B) were detected, whose positive alleles originated from Yumai 57, and could explain 7.86 and 7.38 % of phenotypic variation, respectively.

For Fv, two additive QTLs (qFv3B and qFv4B) were identified, jointly explaining 10.46 % of the total variation, whose location on chromosomes were as same as the two QTLs controlling Fm. However, their positive alleles came from Huapei 3.

Three additive QTLs (qFv/Fm5A, qFv/Fm6A, and qFv/Fm6D) associated with PSII Fv/Fm were detected, jointly explaining 16.16 % of phenotypic variation, and the positive alleles came from Huapei 3.

Five pairs of epistatic QTLs controlling Fo, Fv/Fm, and chl a/b were detected, distributing on chromosomes 1B-7B, 2D-3A, and 3D-5B, respectively (Table 6.6 and Fig. 6.3). And they could explain 12.1, 4.63, and 3.54 % of the phenotypic variation.

Table 6.6 Estimated digenic epistatic (AA) effects of QTLs for wheat chlorophyll fluorescence of DH population in field test

6.1.2 QTL Mapping of Photosynthesis of Wheat Seedlings in Phytotron

6.1.2.1 Planting and Determining Methods in Phytotron

6.1.2.1.1 6.1.2.1.1 Planting Trails

Two environment conditions including environment I (from September to October 2007) and environment II (from February to April 2008) were set in net room and phytotron in Shandong Agricultural University. A total of 168 lines and parents were planted in cultivate bowls (diameter for 10 cm and height for 8 cm) with homogeneous and fertile soils. Furthermore, each line and parent was planted for three bowls, and five plants were cultivated in a bowl. Under environment I, materials were sowed on September 5, 2007, while materials were sowed on February 28, 2008, under environment II. Materials management was carried out following the conventional potting trial and transforming the location of cultivate bowl once a week to reduce the difference in growing environment among lines and parents. After one month, all the materials were transferred to a phytotron (ACC-1, Hangzhou), and the upper two full extended leaves were sampled to determine the photosynthesis parameters after 7 days for adaptation. In phytotron, the day/might temperature was controlled in 24/18 °C, photon flux density 400 μmol m−2 s−1, photoperiod 12 h/12 h, and relative humidity 60 %. In order to avoid the effect of circadian rhythms on determining of parameters, preliminary work was conducted, and multipoint photosynthesis and fluorescence parameters were determined on 5, 7, and 9 days after wheat in phytotron. It was found that photosynthesis and fluorescence parameters of leaf were basically stable in one day after 7 days.

6.1.2.1.2 6.1.2.1.2 Determining Methods
6.1.2.1.2.1 6.1.2.1.2.1 Determination of Leaf Gas Exchange Parameters at Seedling Stage

Net photosynthetic rate (Pn), stomatal conductance (Gs), inter-cellular CO2 concentration (Ci) of the lines and parents were determined using portable photosynthesis system (CIRAS-2, PP Systems, UK) after 7 days stored in phytotron. Concentration of CO2 was controlled in 380 μmol mol−1 by the system, and illumination intensity was controlled in 1000 μmol m−2 s−1 by LED red-white source.

6.1.2.1.2.2 6.1.2.1.2.2 Determination of Chlorophyll Fluorescence Parameters of Wheat Seedlings

After gas exchange parameters were determined, the same position of leaves were put in clip holders for a 20-min period of darkness adaptation and measuring the fast chlorophyll a fluorescence transient (OJIP) by using a Handy PEA (Hansatech instruments, Norfolk, UK) instrument, and the determination method was the same as that described above.

6.1.2.1.2.3 6.1.2.1.2.3 Determination of Chlorophyll Content of Wheat Seedlings

After determining photosynthetic character and fluorescence parameters, the samples of all lines and parents were taken according to the method described above. OD was measured at 662, 645, and 470 nm with a spectrophotometer UV-4802 (Unico instrument Co., Ltd, Shanghai, China). And then chlorophyll a, chlorophyll b, and carotenoid contents were estimated.

6.1.2.2 QTL Mapping and Effects Analysis of Photosynthetic Characters in Wheat Seedlings

QTL analyses were performed using QTL Network 2.0 software based on the mixed linear model approach. When P < 0.005, 17 additive QTLs and 20 pairs of epistatic QTLs conferring photosynthesis and its related traits were identified; furthermore, all additive QTLs and 16 pairs of epistatic QTLs involved in environmental interaction (Tables 6.7 and 6.8, Fig. 6.4).

Table 6.7 Additive effects of QTLs for photosynthesis and related physiological traits at seedling stage of wheat in two environments
Table 6.8 Epistatic effects of QTLs for photosynthesis and related physiological traits at seedling stage of wheat in two environments
Fig. 6.4
figure 4

Chromosome positions of additive QTLs for photosynthesis and related traits in 168 double-haploid lines derived from the cross of Huapei 3 × Yumai 57 at seedling stage of wheat

Two additive QTLs (QPn4D-11 and QPn5D-11) conferring Pn distributing on chromosomes 4D and 5D were detected, whose positive alleles came from Yumai 57 and Huapei 3, respectively, and could explain 2.47 and 7.15 % of phenotypic variation. Moreover, both the two additive QTLs involved in environmental interaction. Meanwhile, four pairs of epistatic QTLs, distributed on chromosomes 1B-3A, 1B-3A, 1B-3D, and 1D-5B, were also detected and could explain 2.17, 1.58, 1.09, and 3.22 % of phenotypic variation, respectively.

For Tr, one QTL (QE4D-11) accounting for 3.81 % of phenotypic variation was detected and involved in environmental interaction. Three pairs of epistatic QTLs, distributed on chromosomes 3A-4A, 3B-4D, and 3B-6D, were detected and could explain 2.59, 4.17, and 1.18 % of phenotypic variation. Moreover, all the three pairs of epistatic QTLs involved in environmental interaction, jointly accounting for 8.66 and 9.75 % of phenotypic variation in the two environments, respectively.

For Ci/Cr, two additive QTLs (QGs4D-11 and QGs5D-13) were identified, accounting for 4.17 and 2.64 % of phenotypic variation. And both the two QTLs involved in environmental interaction. The phenotypic variations of QGs4D-11 were larger in the two environments, which were 3.48 and 3.45 %, respectively. Five pairs of epistatic QTLs associated with Ci/Cr were also detected, distributing on chromosomes 1A-2B, 1D-5B, 2D-7D, 4B-5B, and 4B-5B, and explained 4.06, 0.81, 6.33, 2.25, and 2.33 % of phenotypic variation, respectively. In addition to QGs4B-3/QGs5B-2, other four pairs of QTLs involved in environmental interaction. Furthermore, QGs2D-13/QGs7D-12 had the highest phenotypic contribution, accounting for 8.21 and 8.42 %, respectively, in the two environments.

Two additive QTLs conferring Ci, distributing on chromosomes 5B and 5D, were detected and explained 1.22 and 0.28 % of phenotypic variation. Among them, QCi5B-5 had higher environmental interaction effect, accounting for 28.94 and 27.7 % of phenotypic variation in the two environments, respectively. In environment I, the parental effect was greater than recombinant effect, but that was opposite in environment II. No pair of epistatic QTL conferring Ci was detected.

Three additive QTLs for Ci/Cr (QTL-QCi/Cr4A-3, QCi/Cr5B-5, and QCi/Cr5D-9) were identified, accounting for 0.58, 1.37, and 5.07 %, respectively. The total variation of additive effect and environmental interaction effect were 14.69 and 14.21 %, respectively. No pair of epistatic QTL conferring Ci/Cr was detected (Tables 6.7 and 6.8, Fig. 6.4).

For chlorophyll a content, two additive QTLs (QCa5B-5 and QCa5D-10) were detected, accounting for 1.2 and 18.23 % of phenotypic variation. And one pair of epistatic QTL on chromosome 3B-5D for chlorophyll a content involved in environmental interaction (Tables 6.7 and 6.8, Fig. 6.4).

Two additive QTLs (QCb5B-5 and QCb5D-10) conferring chlorophyll b content were detected, accounting for 1.78 and 10.4 % of phenotypic variation, and their positive alleles came from Huapei 3, which was in accordance with Huapei 3 having the higher content of chlorophyll b. Both the two QTLs involved in environmental interaction, and QCb5D-10 had the higher phenotypic contribution, explaining 14.12 and 13.9 % of phenotypic variation in two environments, respectively. One pair of epistatic QTL for chlorophyll b was detected, distributing on chromosomes 3B-5D, which involved in environmental interaction.

For carotenoid contents, only one additive QTL (QCx5D-10) was identified, accounting for 27.25 % of phenotypic variation, and whose positive alleles came from Huapei 3. Meanwhile, QE interaction could explain 6.3 and 6.12 % of phenotypic variation in the two environments, respectively. Two pairs of epistatic QTLs were also detected on chromosomes 1B-4D, accounting for 2.02 and 0.75 % of phenotypic variation; however, they did not involved in QE interaction (Tables 6.7 and 6.8, Fig. 6.4).

For Fm, two additive QTLs (QFm1A-1 and QFm1A-17) were detected, accounting for 1.43 and 1.15 % of phenotypic variation, respectively. And both the two additive QTLs involved in QE interaction, but the contributions to phenotypic variation were small. Four pairs of epistatic QTLs on chromosomes 1B-2B, 3B-7B, 1B-1B, and 5B-5D, respectively, were detected, explaining 1.04, 1.02, 2.04, and 1.08 % of phenotypic variation, respectively. In addition to the pair of epistatic QTLs linked by Xcwem6.1–Xwmc128 and Xgwm582–Xcfe026.2 locating on chromosome 1B, other three pairs of epistatic QTLs all involved in QE interaction (Tables 6.7 and 6.8, Fig. 6.4).

6.1.3 QTL Mapping of Dry Matter Production (DMA) and Fv/Fm at Jointing and Anthesis Stage in Field

6.1.3.1 Materials and Methods

6.1.3.1.1 6.1.3.1.1 Planting Materials

Materials and Planting were same as one of the Sect. 6.1.1.1.1 in this chapter.

6.1.3.1.2 6.1.3.1.2 Determining Methods
6.1.3.1.2.1 6.1.3.1.2.1 Determining DMA at Jointing and Flowering Stage of Wheat in Field

Each genotype was tagged at jointing (first internode about 2 cm above the soil) and at flowering (anthers burst on more than 50 % of panicles). Five stems from each DHL were cut at the soil surface and then put in ice from both growth stages. Samples were treated at 105 °C for 30 min and further dried at 65 °C until reaching constant dry weight. The leaves were separated from the stem and the weights of each stem with the sheath and corresponding leaf were separately measured using a JA3003A electronic balance (Jingtian Instruments, Shanghai, China). The DM weight of each plant was the sum of the values of the stem and the leaf. The DMA of leaves, stems, and plants was calculated according to the difference in weight between the jointing and anthesis stages. The means of five replications from each plot were used for statistical analysis.

6.1.3.1.2.2 6.1.3.1.2.2 Determination of Fv/Fm at Jointing and Flowering Stage of Wheat in Field

The upper unfolded leaves at the jointing and anthesis stages were used to measure the maximum quantum efficiency (Fv/Fm), and the determining method as described above. Mean values of five replications per plot were taken for data analysis.

6.1.3.2 Result and Analysis

6.1.3.2.1 6.1.3.2.1 Phenotypic Variation Among DHLs

The phenotypic variation of DHLs and the parents for DMA of culms, leaves, total plants, and Fv/Fm at the jointing stage and anthesis stage in 2007 and 2008 are summarized in Table 6.9. HP3 and YM57 differed significantly in the measured traits and phenotypic values of HP3 for the majority of traits at both growth stages were much higher than those of YM57. However, the DMA of leaves for YM57 was higher than that of HP3 at the jointing stage. The mean values of DHLs were intermediate between the parents for most of the traits. Some lines had more extreme values than the parents, showing substantial transgress segregation. In addition, all target traits showed considerable phenotypic variation and continuous distributions, indicating their quantitative nature. The skewness and kurtosis of DMA were less than 1.0, implying polygenic inheritance and suitability of the data for QTL analysis, whereas the Fv/Fm values were often a little higher than 1.0, indicating the distribution of Fv/Fm was skewed to some extent.

Table 6.9 Phenotypic data for DMA and Fv/Fm in two developmental stages in the 2007 and 2008 crop seasons
6.1.3.2.2 6.1.3.2.2 Correlation Analysis for Identified Traits

Correlations among all the identified traits at the two growth stages in both years are given in Table 6.10. The correlations between DMA in culms and leaves at anthesis were much higher than those at the jointing stage in both years, with the exception of the highly significant correlations rA12 = 0.648**, rA22 = 0.737**, and rJ12 = 0.163, rJ22 = 0.378** (1, 2 represent the years 2007 and 2008, respectively). However, the DMAs of plants showed high positive correlations with those of both culms and leaves. In addition, the correlation coefficients between plants and culms (rG12 = 0.523**, rG22 = 0.996**, rJ12 = 0.943**, and rJ22 = 0.925**) were much higher than those between plants and leaves (rG12 = 0.344**, rG22 = 0.789**, rJ12 = 0.456**, and rJ22 = 0.699**) at the two growth stages in both years. This suggested that DMA in culms plays an important role in plant development. Fv/Fm was poorly correlated with the parameters for DMA.

Table 6.10 Correlation coefficients for dry matter accumulation (DMA) and Fv/Fm at two developmental stages in the 2007 and 2008 crop seasons
6.1.3.2.3 6.1.3.2.3 QTL Mapping and Effect Analysis of DMA and Fv/Fm in Field
6.1.3.2.3.1 6.1.3.2.3.1 Additive QTLs and Additive QTL × Environment Interactions

A total of 18 additive loci affecting the measured traits were detected. Map locations and additive effects of the QTL and interaction effects between additive QTLs and environments are summarized in Table 6.11 and Fig. 6.5, respectively. It is interesting that all QTLs showing interacting effects with environments were identified at the jointing stage.

Table 6.11 QTL detected in the HP3 × YM57 DH mapping population at two growth stages in 2007 and 2008
Fig. 6.5
figure 5

The position of additive QTLs and epistatic QTLs conferring dry matter production and Fv/Fm at two developmental stages in 2007 and 2008

The three loci showing significant associations with DMA in culms explained from 7.02 to 14.02 % of the phenotypic variation. All loci derived their additive effects from favorable alleles of HP3. A major QTL, Qculm5D-10, was detected at the jointing stages, accounting for 14.02 % of the phenotype variation. The other two QTLs Qculm1D-2 and Qculm3B-21, involved at the anthesis stage, explained 7.02 and 9.93 % of the phenotypic variation, respectively.

For DMA in leaves, seven additive QTLs, 4 at jointing and 3 at anthesis, were located on chromosomes 2A, 3A, 3B, 4A, 5A, 5B, and 5D. Five of these were conferred by favorable alleles from HP3. All QTLs with A-QEIs were identified at the jointing stage, explaining from 1.25 to 3.84 % of the phenotypic variation. No major loci were involved.

Five QTLs controlling DMA in plants were located on chromosomes 1D, 3B, 4B, 5D, and 6A, accounting for 0.37 to 9.34 % of the phenotypic variation. The favorable allele of Qplant4B-7 came from YM57, and the other four favorable alleles were from HP3. Three QTLs with A-QEIs were identified at the jointing stage, explaining from 0.34 to 1.74 % of the phenotypic variation. No major loci were involved.

Three regions on chromosomes 5A, 6A, and 6D, associated with Fv/Fm, were detected at the anthesis stage. These loci accounted for 3.19–7.26 % of the phenotypic variation. Two of the favorable alleles were from HP3, and the other was from YM57. No loci were involved in additive and environmental interactions.

6.1.3.2.3.2 6.1.3.2.3.2 Epistatic QTL and Epistatic QTL × Environment Interactions

The 12 pairs of epistatic QTLs for DMA (Table 6.12 and Fig. 6.5) explained phenotypic variation ranging from 0.18 to 13.11 %. Among them, five pairs not only had epistatic effects, but also had E-QEI effects at jointing.

Table 6.12 Estimated digenic epistatic (AA) and epistasis × environment interaction (AAE) effects of QTLs for DMA at two developmental stages in 2007 and 2008

Three pairs of epistatic QTLs were detected for DMA in culms; one pair showed both epistatic effects and also E-QEI effects. Two epistatic pairs involved at the jointing stage had negative effects, which meant that recombinant types had higher effects than the parents. The single pair detected at anthesis showed positive effects, that is, parental effects were larger than recombinant effects.

Two pairs of epistatic QTLs affected DMA in leaves were detected (one at each growth stage). The Qleaves4A-10/Qleaves6B-7 pair, with positive effects, explained 13.11 % of the phenotypic variation.

Seven pairs of epistatic QTLs affected DMA in plants. These included four pairs only for epistatic effects, and three pairs involved in both epistatic and E-QEI effects at jointing. Two pairs of epistatic QTL with positive effects explaining variation of 8.88 and 9.27 % were identified in the anthesis stage. No major loci were involved.

6.1.3.2.3.3 6.1.3.2.3.3 Distribution of the Additive and Epistatic QTLs

Overall, 16 chromosomes carried 18 additive QTLs for the four traits (Table 6.11, Fig. 6.5). An interesting feature was the highly concentrated distribution of additive QTLs in a few chromosomal regions, and the existence of QTL hot spots, namely chromosomal regions shared by multiple QTLs. For example, the additive QTLs involved in DMA in culms and plants, Qculm1D-2 and Qplant1D-2, Qculm3B-21 and Qplant3B-2, and Qculm5D-10 and Qplant5D-10, were identified within the same chromosomal intervals, viz. XWMC222–XGDM60, XWMC307–XGWM566, and XBARC320–XWMC215, respectively. Some QTL clustering occurred in neighboring marker intervals, e.g., flanking markers XCFD101 to XWMC215 were shared by QTLs for DMA in culms, leaves, and plants on chromosome 5D. Similarly, clustered groups were also found for loci associated with the 12 pairs of epistatic QTLs (Table 6.12, Fig. 6.5), further increasing the locus densities in clustered regions.

6.1.4 Research Progress of Photosynthetic Characters QTL Mapping and Comparison of the Results with Previous Studies

6.1.4.1 Research Progress of Wheat Photosynthesis QTL Mapping

Cao et al. (2004) detected 16 QTLs for chlorophyll content under nitrogen (N) sufficient environment and N deficient environment. Yang et al. (2007) analyzed the QTL for chlorophyll fluorescence and related traits under conditions of rainfed and well-watered and reported that a total of 18 additive QTLs, including 11 QTLs detected under rainfed condition and seven QTLs detected under well-watered condition were located on eight chromosomes 1A, 5A, 6A, 7A, 1B, 3B, 4D, and 7D. The variance explained by the QTLs ranging from 7.27 to 72.72 % depended on the traits. Four QTLs controlling Chlorophyll b under two water regimes were located on chromosomes 1A, 5A, and 7A. Only one QTL for Fo was detected under rainfed condition and was located on chromosome 1B. One QTL of each water regime involved in Fm were identified and located separately on chromosomes 7A and 1B. Two QTLs for Fv under rainfed condition were detected and located on chromosomes 7A and 7D, respectively. No epistatic QTL was identified for Chlorophyll b under two water regimes, for Fm under rainfed condition, as well as for Fo and Fv/Fo under the well-watered condition. In this research, there was no QTL controlling one given trait to be mapped on the same marker interval under two water regimes. Therefore, the results imply that there were different QTL expression patterns under different water conditions. More QTLs were revealed in stress conditions than in non-stressed conditions, suggesting that environmental stress can induce the expression of genes originally keeping silent under non-stressed conditions to alleviate plant damages from environmental stress. Cao et al. (2004), Li et al. (2013), Czyczyło-Mysza et al. (2013), Vijayalakshmi et al. (2010) and Ali et al. (2013) analyzed QTLs for some traits, i.e., chlorophyll, fluorescence, PS parameters, carotenoid, flag leaf senescence in wheat.

So far, scholars at home and abroad have studied wheat photosynthesis and related traits at different growth stages and that under different environments using RIL, DH, and other populations. QTL for about 11 traits related to photosynthesis and physiology were analyzed, and 224 QTLs were obtained conferring different traits. Among them, 101 QTLs whose effect is greater than 10 % were detected, furthermore, the highest contribution to phenotypic variation was 49.59 % (Table 6.13). Those QTLs referred to 21 chromosomes, especially 24 QTLs were found on chromosome 6B, which had the largest number of QTLs, followed by chromosome 5B (23 QTLs were detected) and chromosome 2D (19 QTLs). It can be seen, chromosomes 2D, 5B, and 6B were very important to traits related to photosynthesis and physiology of wheat.

Table 6.13 Summary of QTL of wheat photosynthetic physiology (PVE > 10 %)

6.1.4.2 Comparison of the Results with Previous Studies

QTL conferring Fm distributed on chromosome 1A, which were detected in this study, was nearby QRaw.ipk-1A, which also controlled Fm, detected by Börne et al. (2002). The QTL controlling Ci/Cr on chromosome 4A was near by the QTL associated with cereal protein content (Cao et al. 2004). The QTLs (qCHO-5B and qCHN-5B) conferring chlorophyll content detected in this study, which nearby QTgwg.cgb-5B controlling thousand seeds weight at grain filling stage. Meanwhile, QTLs for thousand seeds weight, yield, and protein content were also detected on the similar loci (Groos et al. 2003). QPn4D-11, QE4D-11, and QGs4D-11 detected on chromosome 4D were adjacent to the QTL for Fv/Fo (Yang et al. 2007). Su et al. (2006) mapped major QTLs controlling grain yield on chromosome 3B in winter wheat, and in this study, QCulmc.sau-3B, QLeavesc.sau-3B and QPlantc.sau-3B, were detected on the same chromosome. In addition, the loci QLeavesc.sau-2A, QPlantc.sau-4B, and QFv/fmc.sau-5A coincided with loci for grain weight per ear and post-anthesis DMA per culm (Su et al. 2006; Huang et al. 2003; Quarrie et al. 2005). These indicate that most of the QTLs associated with photosynthesis and related traits were in accordance with the previous results. Meanwhile, many QTLs for some traits, which were not determined before, and QTLs, which were not identified, were also detected in this study (see the previous paper and Table 6.13).

6.2 QTL Conferring Microdissection Characteristics of Wheat Stem

The structure of stem was closely related to lodging resistance of wheat and consists of epidermis, mechanical tissue, elementary tissue, vascular bundle, and pith. Furthermore, the vascular bundle plays an important role in transportation of photosynthetic products, mineral nutrients, and water. The number, size, and capacity of the vascular bundle influence the transportation ability, especially for photosynthetic products. The number and area of the vascular bundles are the basis of large sink and free flow. The growth of vascular bundle is affected by both variety and growing environment, and very complex. In wheat breeding practice with high yield, the relationship between structure of vascular bundle in stem, and size, and plumpness of grain becomes one of the important tissues for research. The capacity of the vascular bundle system transporting assimilates from the source to the sink may be one of the limiting factors for crop yield. Therefore, there is important significance for improving lodging resistance and yield in wheat by studying the structure of vascular bundle in stem.

6.2.1 QTL Mapping for Anatomical Traits of Second Basal Internode

6.2.1.1 Materials and Methods

6.2.1.1.1 6.2.1.1.1 Materials

Materials and Planting were same as one of the Sect. 6.1.1.1.1 in this chapter.

6.2.1.1.2 6.2.1.1.2 Field Trails

The field trials were conducted on the experimental farm at Shandong Agricultural University (Tai’an, China, 36°9′N, 117°9′E) and Jiyuan Agricultural Science Institute (Jiyuan, Henan province, 35°5′N, 112°38′E) in 2008–2009 and 2009–2010. And nine different environmental conditions were set, as follows:

2008–2009, one normal environmental condition was set in Jiyuan, and four environmental conditions (normal, rainfed, well-watered, and late-sowing) were set in Tai’an. While, in 2009–2010, one normal environmental condition was also set in Jiyuan, and three environmental conditions (normal, rainfed, and well-watered) were set in Tai’an.

In the autumn of 2008, the test materials were sowed on October 6–8 in the normal, rainfed, and well-watered conditions, and they were sowed on November 22 in the late-sowing condition. While in the autumn of 2009, the sowing date was October 4–7 in the normal, rainfed, and well-watered conditions.

All DH lines and parents were grown in a plot with four rows in 2-m length, 26.7 cm between rows and 2.2 cm between plants. And the basic seedling number was about 120,000.

For normal condition, crop management was carried out following the local practice. At jointing and anthesis stages, 225 and 75 kg/ha of urea were added, respectively. Meanwhile, plots were irrigated before winter and at jointing and anthesis. For rainfed condition, crop management was carried out following the normal practice. At jointing and anthesis, 225 and 75 kg/ha of urea were added, respectively. However, there was no irrigation during the whole growth period. For well-watered condition, crop management was also carried out following the normal practice. And plots were irrigated before winter and at jointing and anthesis. However, no fertilizer was applied at jointing and anthesis. For late-sowing condition, crop management was also carried out following the local practice, but the sowing date was delayed.

6.2.1.1.3 6.2.1.1.3 Determining Methods
6.2.1.1.3.1 6.2.1.1.3.1 Hanging Tag

At the beginning of May, main stems (flowered on the same day) in the center of every plot were marked.

6.2.1.1.3.2 6.2.1.1.3.2 Sampling

The transverse hand section was made for 2 cm in the middle of the second basal internode at milk-spike stage.

6.2.1.1.3.3 6.2.1.1.3.3 Fixing and Saving

The materials were put into carnoy’s fluid, immediately and were extracted until no air bubbles were appeared. Then, carnoy’s fluid was changed and air was extracted. After that, the materials were stored at 0–4 °C for use.

6.2.1.1.3.4 6.2.1.1.3.4 Section

Settled segment of stem was sectioned to slices with about 20 μm thickness (less than two layers of cells) by using thin razor.

6.2.1.1.3.5 6.2.1.1.3.5 Microscopy

Better sections were selected under the microscope and then dyed.

6.2.1.1.3.6 6.2.1.1.3.6 Dyeing

The selected sections were stained for 3 min using safranin, rinsed for 1 min, and again stained for 15 s using Fast Green, and then rinsed.

6.2.1.1.3.7 6.2.1.1.3.7 Microscopy

A drop of distilled water was taken on the glass slide, and the dyed sections were put on the glass slide and then observed using low power lens (Nikon YS100). Finally, the poorly dyed sections were rejected.

6.2.1.1.3.8 6.2.1.1.3.8 Photographing

Cover glass was put on the selected sections and photographed in DP71 high resolution by using microscope (Olympus BX51).

6.2.1.1.3.9 6.2.1.1.3.9 Statistics

The stem diameter (SD) for basal internode was measured, and matching parameter was set, and then the stem anatomical structure-related traits such as the number of large and small vascular bundle (LVB, SVB), culm wall thickness (CWT), and the pith diameter (PD) were measured by using the graphic program Image-pro Plus 6.0.

6.2.1.2 Result and Analysis

6.2.1.2.1 6.2.1.2.1 Variation of Phenotype

Five traits for anatomical structure of the second basal internode including the number of LVB, the number of SVB, SD, CWT, and PD were analyzed by using the DH population. The variations of phenotypic data of five traits related to the second basal internode in four environments for two years were summarized in Table 6.14.

Table 6.14 Phenotypic values of the anatomical traits in the DH population

Huapei 3 had the higher values of anatomical traits than Yumai 57 in Jiyuan and Tai’an (late-sowing condition) in 2008–2009, and in Tai’an (normal condition) in 2009–2010. However, Yumai 57 had the higher values in Tai’an (normal condition) in 2008–2009. The ranges of variation of the test traits were large, which was in accordance with normal distribution and the distribution was continuous. Meanwhile, a transgressive separation was found from the DH lines. Therefore, the phenotypic data were suitable for QTL analysis.

6.2.1.2.2 6.2.1.2.2 QTL Mapping and Effect Analysis of Anatomical Structure of the Second Basal Internode

A total of five QTLs conferring LVB on chromosomes 5D and 4D were detected in two years in four different environmental conditions (Table 6.15). Among them, the QTL on chromosome 5D detected in Jiyuan in 2008–2009 had the highest contribution, accounting for 13.69 % of phenotypic variation. A total of seven QTLs for SVB on chromosomes 1B, 5B, 6A, and 7D were identified, and the QTL detected in Jiyuan condition in 2008–2009 had the highest contribution, accounting for 17.12 % of phenotypic variation. Meanwhile, the locus had the highest value of additive effect, which could increase the number of SVB by 1.69. In addition to the QTL controlling SVB on chromosome 7D, the positive alleles all came from Yumai 57.

Table 6.15 The additive effects for vascular bundle number of the second basal internode

The QTLs conferring LVB on chromosomes 5D and 4D and the QTLs conferring SVB on chromosomes 6A and 1B were detected twice in the four environmental conditions, accounting for 10.39–11.36, 8.25–8.27, 3.48–9.28, and 8.54–17.12 % of phenotypic variation, respectively. Other QTLs for the number of vascular bundle detected in this study were only one time and had poor reproducibility.

A total of seven QTLs controlling SD of the second basal internode on chromosomes 1A, 1B, 2D, 4B, and 5D were detected; furthermore, the QTL on chromosome 5D, which was detected in Jiyuan condition in 2008–2009, had the highest contribution, accounting for 15.49 % of phenotypic variation, and its additive effect was also the highest, which could increase SD by 0.19 mm (Table 6.16). In addition to the QTL conferring SD on chromosome 1A, the positive alleles of other QTLs all came from Yumai 57.

Table 6.16 Estimated the additive effect for SD, CWT, and PD in the DH population

For CWT, seven QTLs on chromosomes 1B, 3D, 5B, and 6A were detected, and the QTL on chromosome 1B, detected in Jiyuan condition in 2008–2009, had the highest contribution, accounting for 13.41 % of phenotypic variation. Except for the QTL on chromosome 6A, positive alleles of other QTLs all originated from Yumai 57.

For PD, eight QTLs on chromosomes 1B, 2A, 2D, 3D, 4D, and 5D were detected, and the QTL detected in Jiyuan condition in 2008–2009 had the highest contribution, explaining 20.95 % of phenotypic variation. Except for the QTLs conferring PD on chromosomes 1B, 2D, and 5D, the positive alleles of other QTLs all came from Huapei 3.

The QTLs for SD and SWT on chromosome 1B stably express in all conditions in 2008–2009, but were not identified in all conditions in 2009–2010.

For the QTLs conferring PD detected in 2009–2010, only the QTL on chromosome 2D was detected in the two environments, while other QTLs were detected only one time in different environmental condition.

6.2.2 QTL Mapping for Anatomical Traits of the Uppermost Internode

6.2.2.1 Materials and Methods

6.2.2.1.1 6.2.2.1.1 Materials

The test materials were the same as the previous paper for the second basal internode.

6.2.2.1.2 6.2.2.1.2 Field Trails

Field trials were conducted in 2006–2007 and 2007–2008 in Tai’an, Shandong province, China. The experimental field design consisted of a randomized block design with two replications. One environment (environment I) was conducted in 2006. All lines and parents were grown in 2-m-long four-row plots (25 cm apart). Crop management was carried out following the local practices, which were irrigation in wintering, jointing, anthesis, and grain filling stages. An additional 225 and 75 kg/ha of urea were top-dressed at jointing and anthesis, with irrigation, respectively. The total water (millimeter) (rainfall 122.0 mm; irrigation 270.0 mm) and accumulated temperature days were 2605.1 °C day during the whole life of the wheat. Three environments (environment II–IV) were conducted in 2007 in the same soil conditions. The total water (mm) (rainfall 172.5 mm; irrigation 180.0 mm) and accumulated temperature days were 2362.5 °C day during the whole life of the wheat. The management of ground fertilizers, irrigation, and top-dressed fertilizers of environment II was the same as that of environment I; the management of ground fertilizers and irrigation of environment III was the same as that of environment I, but there was no top-dressed urea applied at the jointing and anthesis stages; the management of ground fertilizers and top-dressed urea of environment IV was the same as that of environment I, but there was no irrigation during the wheat’s entire growing season.

6.2.2.1.3 6.2.2.1.3 Determining Methods

At anthesis stage, three main stems (flowered on the same day) in the center of every plot were selected. The lengths of uppermost internodes and the diameters at 2 cm below the neck of the spike were determining by using ruler and vernier caliper, respectively. Furthermore, 2 cm of uppermost internodes were put in stationary liquid (absolute ethyl alcohol/glacial acetic acid = 3/1) for 4–10 h, and then put in 70 % ethanol in the refrigerator. The numbers of large vascular bundles (LVB) located in the inner parenchyma of the stem (with diameters equal to or greater than 10 μm) were recorded, and the numbers of total vascular bundles (TVB) were counted with a Nikon YS100 (Nikon Co. Ltd, Nanjing, China) microscope (magnified 100×). According to TVB = LVB + SVB, the numbers of small vascular bundles (SVB) and the ratios of large to small vascular bundles (L/S) were calculated (Fig. 6.6). Mean values were used for the data analysis.

Fig. 6.6
figure 6

The diagram and microscope structure of the internode in wheat a transverse section structure of wheat internode; b magnified structure of uppermost internode in wheat (magnified 200). LVB large vascular bundles; SVB small vascular bundles

6.2.2.2 QTL Mapping for Anatomical Traits of the Uppermost Internode

6.2.2.2.1 6.2.2.2.1 Variation of Phenotypic Data of Uppermost Internode-Related Traits

Huapei 3 is a weak spring and precocity variety, while Yumai 57 is a semi-winterness and medium maturing variety. All lines and parents were planted in October 2006 and 2007 on experimental farm in Shandong Agricultural University. And four environmental conditions including environment I (normal irrigated and top-dressed urea in 2007), environment II (normal irrigated and top-dressed urea in 2008), environment III (normal irrigated but no top-dressed urea in 2008), and environment IV (no irrigated but top-dressed urea in 2008) were set. There were obvious differences in uppermost internode length (UIL), the number of total vascular bundles (TVB) and the number of small vascular bundles (SVB) between the parents. And the frequency distributions for eight traits (UIL, UID, CWT, CWA, TVB, LVB, SVB, and L/S) examined in the DH population of wheat exhibited continuous variations and more or less normal distributions with transgressive segregation, indicating that all the eight traits are quantitative traits controlled by polygenes (Table 6.17 and Fig. 6.7), and their quantitative nature which is suitable for QTL mapping.

Table 6.17 Phenotypic performance of vascular bundle system under four environments
Fig. 6.7
figure 7

Distribution of vascular bundle system and correlative traits of uppermost internode in DH population (environment and traits see Table 6.17)

6.2.2.2.2 6.2.2.2.2 QTL Mapping and Effect Analysis of Uppermost Internode-Related Traits

QTL conferring eight traits associated with morphological anatomy of uppermost internode were performed by using the software QTL Network 2.0 based on a mixed linear model. A total of 20 additive QTLs and one pair of epistatic QTL on chromosomes 1A, 1B, 2A, 2D, 3D, 4D, 5D, 6A, 6D, and 7D were detected (Table 6.18 and Fig. 6.7).

Table 6.18 Main-effect QTL affecting TVB, LVB, SVB, and L/S in four environments
6.2.2.2.2.1 6.2.2.2.2.1 QTL Mapping for UIL

Three additive QTLs for UIL, located on chromosomes 1B, 4D, and 7D (Table 6.18 and Fig. 6.7) were detected and expressed differently in the four environments. In environment I, two QTLs on chromosomes 4D and 7D were detected; in environment II, three QTLs on chromosomes 1B, 4D and 7D were detected; in environment III, two QTLs on chromosomes 4D and 7D were detected; and in environment IV, the QTLs were detected on chromosomes 1B and 7D. The QTLs on chromosomes 4D and 7B were contributed by Huapei 3, and the contributions were 9.54 ~ 22.04 %; while the QTLs on chromosome 1B were contributed by Yumai 57, the contributions were 7.08 ~ 9.00 %. The QTL located within XGWM676–XGWM437 on chromosome 7D had the most significant effect, explaining 22.04 % of phenotypic variation, and expressed stably in the four environments.

6.2.2.2.2.2 6.2.2.2.2.2 QTL Mapping for UID

Only one additive QTL conferring UID on chromosome 5D was detected in environment I, explaining 22.67 % of phenotypic variation. And its positive allele came from Huapei 3, increasing UID by 0.16 mm.

6.2.2.2.2.3 6.2.2.2.2.3 QTL Mapping for CWT

Only one additive QTL conferring CWT on chromosome 3D was detected in environment III, while its contribution to phenotypic variation was small. And its positive allele came from Yumai 57, increasing CWT by 10.97 μm.

6.2.2.2.2.4 6.2.2.2.2.4 QTL Mapping for CWA

Only one additive QTL for CWA on chromosome 5D was identified in environment I, explaining 25.61 % of phenotypic variation, and its additive effect was contributed by Huapei 3 alleles, increasing CWA by 0.29 mm2.

6.2.2.2.2.5 6.2.2.2.2.5 QTL Mapping for TVB

A total of five additive QTLs for TVB were detected on chromosomes 1A, 2D (two regions), 5D, and 7D under four different environments (Table 6.18 and Fig. 6.8). Under environment I, one QTL on chromosome 5D was detected; under environment II, two QTLs on chromosome 2D and 7D were detected; under environment III, one QTL on chromosome 2D was detected; under environment IV, one QTL was detected on chromosome 1A. The additive effects of qTVB-5D and qTVB-7D were contributed by Huapei 3 alleles, and the rest were contributed by Yumai 57 alleles. The QTL detected under environment III and IV (qTVB-1A and qTVB-2D-2) had the most significant effects, explaining 12.76 and 10.49 % of the phenotypic variance, respectively.

Fig. 6.8
figure 8

QTL for the vascular bundle system and correlative traits of uppermost internode in SSR linkage map

One pair of epistatic QTL for TVB was detected on chromosome 2A and 6D (Fig. 6.9), accounting for 10.81 % of phenotypic variation and increasing by two TVBs. The epistatic QTL had no additive effect, was sensitive to environment, and only expressed in environment III.

Fig. 6.9
figure 9

3D visualization for the test statistics of genome scan for epistatic QTL associated with total vascular bundle under environment III (normal irrigated but no top-dressed urea in 2008) between 2A and 6D (F value is taken as height); AA: 1.9; H: 10.81 %

6.2.2.2.2.6 6.2.2.2.2.6 QTL Mapping for LVB

Only one qLVB-5D for LVB was detected on chromosome 5D, contributed by Huapei 3 alleles. The qLVB-5D had a significant effect, accounting for 22.95 % of the phenotypic variance, and increased by two LVBs.

6.2.2.2.2.7 6.2.2.2.2.7 QTL Mapping for SVB

A total of six additive QTLs conferring SVB were detected on chromosomes 1A, 2D, 5D (2 regions), 6A, and 7D (Table 6.18 and Fig. 6.8). Under environment I, one QTL on chromosome 5D was detected; under environment II, one QTL on chromosome 7D were detected; under environment III, the QTLs on chromosome 2D, 6A, and 7D were detected; under environment IV, the QTLs on chromosomes 1A, 5D, and 7D were detected. Among them, the QTLs on chromosomes 1A, 2D, and 7D were main-effect QTLs.

6.2.2.2.2.8 6.2.2.2.2.8 QTL Mapping for L/S

Two QTLs affecting L/S were identified in environments I and IV and contributed by Huapei 3 and Yumai 57, explaining 12.45 and 15.17 % phenotypic variance, respectively.

In a word, after analyzing anatomical characteristics of the basal internode and uppermost internode, it was found that there were main-effect QTLs on chromosomes 5D and 7D, declaring that important gene and region confer the traits on these chromosomes. Meanwhile, some important genes were also found on chromosomes 1B, 4D, and 2D.

6.2.3 Research Progress of Anatomical Traits of Culm QTL Mapping and Comparison of the Results with Previous Studies

6.2.3.1 Research Progress of QTL Conferring Anatomical Traits of Culm and the Comparative Analysis with This Study

6.2.3.1.1 6.2.3.1.1 Research Progress of QTL Conferring Anatomical Traits of Culm

Because stem strength was closely related to lodging resistance of wheat, it will be of great significance for enhancing the lodging resistance of wheat by studying QTL for stem strength-related traits. Marza et al. (2006), Huang et al. (2006), and Zhang et al. (2008) conducted QTL analysis of lodging resistance of wheat by using DH population or RIL population. And a total of 16 QTLs, including four main-effect QTLs, were detected on chromosomes 1B, 1D, 2B, 4A, 4B, 4D, 5A, 6D, and 7D, and the highest contribution was 23 % of phenotypic variation.

Few researches related to QTL for anatomical traits of stem were conducted. Only Keller et al. (1999) in abroad and Guo et al. (2002) in domestic studied UIL, UID, CWT, culm wall strength, the length, and diameter of other internode; however, few studies associated with TVB, LVB, SVB, and L/S were conducted (Table 6.19).

Table 6.19 Summary of QTL of wheat stem microdissection traits (PVE > 10 %)

6.2.3.2 Comparison of this Study with Previous Researchers

We researched QTL for anatomical traits of the second basal internode and the uppermost internode for the first time. A total of 62 QTLs, including 31 major QTLs (contribution is greater than 10 %), were detected on chromosomes 1B, 2D, 4D, 5D, and 7D, and the most significant QTL could explain 25.61 % of phenotypic variation. Further, some loci controlled multiple traits. In addition, it was found that LVB and SVB were controlled by different genes, and the locus (Qlvb.sdau-5D) on chromosome 5D, controlling LVB, was detected in several environments. Comparing with the results of spike yield, leaf morphology, and related traits studied by Zhang et al. (2008) using the same DH population, the QTLs for LVB and spike and leaf traits were on the same or near regions and tended to be co-located within the genome, which can be used as marker to polymerize multiple excellent traits in breeding program.

The main-effect QTLs conferring UID, CWA, TVB, LVB, and L/S were all located within the interval XBARC320–XWMC215–XBARC345 on chromosome 5D, and nearby the main-effect interval controlling grain yield and spike-correlated traits (kernels for spike, the total number of spikelets, density of spikelet) (Zhang et al. 2009). In addition, the QTLs conferring UIL, LVB, and SVB located within the interval of XGWM676–XGWM437 on chromosome 7D had high contribution and stably expressed in four different environments, which can be used in marker-assisted selection (MAS) to polymerize several traits and improve multiple traits simultaneously in wheat breeding.

In a word, the QTL conferring stem-correlated traits distributed on chromosomes 1B, 2A, 2D, 3D, 4D, 5D, 6A, 7A, and 7D. Comparing with previous researches, more loci were detected on genome D in this study; furthermore, QTL cluster controlling important physiology and yield-correlated traits was located on chromosome 5D.

6.3 QTL Mapping and Effect Analysis of Heading Date

Heading date is an important trait that is a major determinant of the regional and seasonal adaptation of wheat varieties. Appropriate heading date and anthesis are important target traits for breeding, which not only correlate with growth period, but also directly or indirectly affect some important agronomic traits such as yield, disease resistance, and stress resistance. According to the different signal response to the environment, there are three categories of genes influence heading date including the following: (1) vernalization response (Vrn), controlling winter wheat took on low temperature treatment for a certain time before ear differentiation; (2) photoperiod response (Ppd), decides the response to the length of sunlight; and (3) earliness per se (Eps), when vernalization and photoperiod are satisfied, the number of days for wheat to heading date is determined by Eps, which control developmental rate independently of the other two genes. Vrn-A1, Vrn-B1, and Vrn-D1 were located on long arms of chromosomes 5A, 5B, and 5D, and Vrn-A1 had the highest effect, showing the vernalization insensitivity. Now, Vrn-A1 and Vrn-B1 have been successfully cloned (Yan et al. 2004). The genes Ppd-A1, Ppd-B1, and Ppd-D1 were located on chromosomes 2A, 2B, and 2D, respectively, and Ppd-D1 had the highest effect, followed by Ppd-B1. Furthermore, these genes were all insensitive to photoperiod. However, few research for Eps was conducted. While, Eps was located on chromosomes 2B, 3A, 4A, 4B, 6B, 6D, and 7B by using aneuploid of Chinese spring and chromosome substitution. Song et al. (2006) identified nine QTLs for wheat heading date on chromosomes 2D, 3B (2 regions), 3D, 4A, 5B, 6B, 6D, and 7D, explaining 3.97–22.91 % of phenotypic variation, by using two mapping populations (Hanxuan 10 × Lumai 14 and Wenmai 6 × Shanhongmai) in field and greenhouse. Since some researches regarding QTL analysis for wheat growth period were conducted, few could be used in MAS. Therefore, in this study, several populations were used to analyze the QTL for wheat growth period, in order to find reliable and stable markers that can be used in MAS in wheat breeding programs.

Heading date was recorded as the number of days from sowing to 50 % of spikes fully emerging in a plot. And heading was noted when 1/3 of spikes emerged from the flag leaves.

6.3.1 QTL Analysis of Heading Date Based on a DH Population Derived from the Cross of Huapei 3 × Yumai 57

6.3.1.1 Phenotypic Variation of Heading Date

The heading date for the DH population and the parents in three environments were described in Fig. 6.10. Huapei 3 headed significantly earlier than Yumai 57 in all three environments. Transgressive segregants were observed for heading date among DH lines in the three environments. The heading date of the DH population segregated continuously and followed a normal distribution, indicating its polygenic inheritance and suitability of the data for QTL analysis.

Fig. 6.10
figure 10

Frequency distribution of heading date

6.3.1.2 QTLs with Additive Effects and Additive × Environment (AE) Interactions

Two additive QTLs were detected for heading date on chromosomes 1B and 5D (Table 6.20). A highly significant QTL, designated as Qhd5D, was observed within the Xbarc320–Xwmc215 interval on the chromosome 5DL, accounting for 53.19 % of the phenotypic variance. The second QTL, Qhd1B, could explain 3.49 % of the phenotypic variance. The Huapei 3 alleles at the Qhd5D reduced days-to-heading by 2.77 days due to additive effects, but increased days-to-heading by 0.71 days at the Qhd1B. This suggested that alleles for reducing the heading date were dispersed within the two parents. This result was in accordance with the presence of a wide range of variation and transgressive segregations of wheat heading date in the DH population. The total additive QTLs for heading date accounted for 56.68 % of the phenotypic variance. The Qhd5D showed AE interactions in two environments, accounting for 3.81 and 1.51 % of the phenotypic variance, respectively. The general contribution of the two AE effects on wheat heading date was 5.32 %.

Table 6.20 Estimated additive and additive × environment interaction of QTL for heading time

6.3.1.3 Epistasis and Epistasis × Environment (AAE) Interactions

Two pairs of digenic epistatic interactions were identified for heading date, located on chromosomes 2B–6D and 7A–7D (Table 6.21), explaining phenotypic variance from 2.45 to 3.44 %, respectively. The general contribution of digenic epistatic interactions to heading date was 5.90 %. The Qhd2B/Qhd6D was involved in AAE interactions in two environments, which explain 0.65 and 0.73 % of the phenotypic variance, respectively. The total contribution of AAE interactions was 1.38 %.

Table 6.21 Estimated epistasis (AA) of QTL for heading time

6.3.2 QTL Analysis of Heading Date Based on a RIL Population Derived from the Cross of Nuomai 1 × Gaocheng 8901

6.3.2.1 Phenotypic Variation of Heading Date

The heading date of the RIL population and the parents in three environments were described in Table 6.22 and Fig. 6.11. Nuomai 1 headed significantly earlier than Gaocheng 8901 in all three environments. Transgressive segregants were observed for heading date among RIL lines in the three environments. The heading date of the RIL population segregated continuously and followed a normal distribution, and both absolute values of skewness and kurtosis were less than 1.0, indicating its polygenic inheritance.

Table 6.22 Phenotypic values for heading stage of two parents and the RIL population in three environments in wheat
Fig. 6.11
figure 11

The heading time distribution of the RIL population in three different environments

6.3.2.2 QTLs with Additive Effects and Additive × Environment (AE) Interactions

A total of five additive QTLs conferring heading date on chromosomes 3B, 5B, 6A, 6B, and 7D were identified (Table 6.23). Qhs-6A and Qhs-6B were detected four times in the three different environments and mixed environment and contributed by Gaocheng 8901, accounting for 16.16 ~ 25.64 % and 5.75 ~ 9.88 % of phenotypic variation, respectively. And the contributions of Qhs-6A were all greater than 10 % in each environment. Qhs-3B was detected in E1, E3, and pool data (PD) three times and contributed by Nuomai 1, explaining 5.65, 6.55, and 9.22 % of phenotypic variation. In PD, Qhs-7D with a LOD value 15.49, located on chromosome 7D, accounted for 22.67 % of phenotypic variation. Qhs-5B was only detected on PD.

Table 6.23 QTL with significant additive effects for heading stage detected in different environments

6.3.3 QTL Analysis of Heading Date Based on a RIL Population Derived from the Cross of Shannong 01-35 × Gaocheng 9411

6.3.3.1 Phenotypic Variation of Heading Date

There were smaller differences between two parents and bigger differences among lines in heading date and anthesis under the three environments. Furthermore, heading date varied from 194 to 206 in E1 and anthesis varied from 204 to 213. The heading time and flowering time of the RIL population segregated continuously and followed a normal distribution, and both absolute values of skewness and kurtosis were less than 1.0 (Table 6.24).

Table 6.24 Phenotypic values for heading time and flowering time of the RIL population and the parents in different environments

6.3.3.2 QTLs with Additive Effects and Additive × Environment (AE) Interactions

A total of 12 additive QTLs for heading time and four additive QTLs for flowing time were identified on chromosomes 1A, 1B, 4B, 6A, and 6B, respectively, using phenotypic data from E1, E2, and E3 and the mean value of the three environments (Table 6.25). The QTLs distributing on chromosomes 1A, 4B, and 6B were contributed by Gaocheng 8901, the rest were contributed by Shannong 01-35.

Table 6.25 Additive QTL for heading time and flowering time in different environments

Four major QTLs for heading time, QHt1A.1-54 (PD), QHt1A.2-132 (E2, PD), QHt1B.1-87 (E1, PD), and QHt1B.2-44 (E2, E3) were detected, accounting for 10.75 ~ 30.32 % of phenotypic variation. Furthermore, QHt1A.2-132, QHt1B.1-87, and QHt1B.2-44 were detected by using both individual environment and average environment, which were stably major QTLs. In addition, QHt1A.2-133 and QHt1A.2-132 detected in E1 were located within the same interval.

The QTL for flowering time, designated as QFt1B.1-87 (E2) and QFt1B.1-105 (E3), were major QTLs, explaining 13.23 and 15.77 % of phenotypic variation, respectively. Meanwhile, QFt1B.1-87 and QHt1B.1-87, controlling heading time, were located on the same locus; and QFt6B.3-5 and QHt6B.3-0 were within the same interval.

6.3.4 Research Progress of Growth Period QTL Mapping and Comparison of the Results with Previous Studies

6.3.4.1 Research Progress of QTL Mapping for Growth Period of Wheat

Heading date is a quantitative trait controlled by multiple genes. The QTL expressed differently in different environment, because of the interaction between genotype and environment. Many researches regarding QTL for growth period of wheat have been conducted, and there were loci detected on each chromosome. However, there were differences in detected loci by using different test materials, linkage map, and environment. Song et al. (2005, 2006), Yao et al. (2010), Xu (2005), and Hanocq et al. (2004) analyzed QTL conferring heading date of wheat by using different DH and RIL population and identified 21 QTLs, including seven major QTLs, with the highest effect of 22.91 % (Table 6.26). Summary analysis showed that most of the researchers found QTLs for heading date on chromosomes 7B, 2D, and 3B.

Table 6.26 Summary of QTL of wheat heading date (PVE > 10 %)

6.3.4.2 Comparsion of the Results with One of the Previous Studies

The major QTL (qHd5D) for heading time detected in this DH population were located within Xbarc320–Xwmc215 interval on chromosome 5DL, explaining 53.19 % of phenotypic variation, and closely linked with Vrn-D1. And it was contributed by precocious parent Huapei 3. In addition, qHd5D was closely linked with Xwmc215, with the genetic distance of 2.1 cm. Therefore, it was more likely used in MAS and polymerizing breeding programs. Another additive QTL (qHd1B) located within the interval Xwmc406–Xbarc156 on chromosome 1BS explained 3.49 % of phenotypic variation and was not found in the previous studies. It may be allelic loci of Ppd-H2 on chromosome 1B and that needed further research to prove.

QTLs conferring heading date were located on chromosomes 3B, 6A, and 6B in the RIL population derived from the cross of Nuomai 1 × Gaocheng 8901. And the most significant QTL (Qhs-6A) was located on chromosome 6A, which was not found in the previous studies, indicating that chromosome 6A was a main chromosome for controlling heading date. Song et al. (2006) also identified QTLs conferring heading date on chromosome 3B and 6B, but the loci were different with those detected in this study, which may be correlated with Eps.

QTL conferring growth period was identified on chromosomes 1A, 1B, 4B, 6A, and 6B in the RIL population derived from the cross of Shannong 01-35 × Gaocheng 9411. QTLs (QHt1A.2-132, QHt1B.1-87, and QHt1B.2-44) with stable expression were the new-found main-effect QTLs and could be used in MAS. In addition, QTL identified on chromosome controlled heading time and flowering time simultaneously, that is QFt1B.1-87 (controlling flowering time) and QHt1B.1-87 (controlling heading time) was the same locus, which performed pleiotropic effects.

6.4 QTL Mapping of Cell Membrane Permeability of Wheat Leaf Treated by Low Temperature

Chilling injury and frost damage occur frequently in the most of the winter wheat growing areas. In northern winter wheat region of China, climate is cold, both frost damage in winter and late spring cold in spring cause large loss of yield. Therefore, chilling injury and frost damage is one of the highlights of researching stress resistance in wheat. Some physiological and biochemical changes will happen during cold resistance of wheat, and some physiological traits such as malondialdehyde (MDA) content, soluble protein content, and cell membrane permeability were all identification index for cold resistance. Too low temperature will damage the structure of cell membrane, and result in wheat tissue injury or death. Hence, cool tolerance of cell membrane closely correlated with cold resistance of wheat. Ju et al. (2012) determined cell membrane permeability of cold wheat leaf by using conductivity method, which was a relatively reliable method to determine cold resistance in wheat. Brube et al. (1988) showed that cold resistance of wheat was a quantitative trait, controlled by polygenes, and affected by environment easily. Furthermore, the genes those controlled cold resistance of wheat were a kind of modificator gene, which perform cold resistance only under low temperature and short day. Waldman et al. (1975) and Limin et al. (1997) located the gene for cold endurance of wheat on chromosomes 5A and 5D and deemed that wheat varieties with the gene from group D perform stronger cold resistance than that from group A. However, until now, no researches related to QTL for cold resistance of wheat were conducted. Therefore, in this study, the DH population derived from two parents with different cold resistance was used to analyze QTL for cold resistance by determining cell membrane permeability of leaf treated by low temperature. And the purpose was to identify molecular markers, closely linked with cold resistance, which were used in cold resistance breeding of wheat, furthermore, and lay a theoretical foundation for mining the genes controlling cold resistance in wheat.

6.4.1 QTL Mapping for Cell Membrane Permeability of Wheat Leaf

6.4.1.1 Test Materials

Materials and Planting were same as one of the Sect. 6.1.1.1.1 in this chapter.

6.4.1.2 Field Trails

All DH lines and parents were planted in Baoding (Hebei province, E1), Cangzhou (Hebei province, E2), and Handan (Hebei province, E3) on October 4, 2010. The experimental field consisted of a randomized block design with three replications. All DH lines and parents were grown in a plot with three rows in 2 m length, 26.7 cm between rows and 2.2 cm between plants. Crop management was carried out following the local practices.

6.4.1.3 Determining Method of Cell Membrane Permeability of Leaf

In late December 2010, five leaves (intermediate leaves of the plant) in the center of every plot were selected and washed by tap water and deionized water for three times successively, and then moisture was blotted on the surface of the leaves. Each sample of 0.2 g was cut into about 1 cm of small pieces, and put into two tubes, and then treated by room temperature (control) and low temperature (−18 °C), respectively. Cell membrane permeability was determined by using conductivity method.

A volume of 10 mL deionized water was added to each sample, including control and treatment, and then vacuumized for 15 min. After gently shaking, the tubes were put in room temperature for 10 min. Electrical conductivity of control (C) and treatment (R) was determined by using conductometer (DDS-11A) according to the method described by Shen et al. (modified slightly). And then, the tubes of treatment were put into the boiling water bath for 5 min, and the electrical conductivity (K) after cooling to room temperature was determined. The relative transuding rate of electrolyte (A, %) was used to show cell membrane permeability, whose value was calculated by using the formula: A = (R − C)/(K − C) × 100.

6.4.1.4 Data Analysis

Analysis of phenotypic data was carried out using the SPSS program (version 17.0, SPSS, Chicago, USA). The inclusive composite interval mapping (ICIM) was applied by means of the QTL IciMapping 2.2 to identify QTLs for cell membrane permeability under three environments, based on the molecular genetic map constructed by Zhang et al. (2009). A logarithm of odds (LOD) of 2.5 and Sep of 1 cM were set to declare QTL as significant. QTL effects were estimated as the proportion of phenotypic variance (R 2) explained by the QTL. QTL was named referring to the method described by McIntosh et al.

6.4.1.5 Results and Analysis

6.4.1.5.1 6.4.1.5.1 Analysis of Phenotypic Variation

In three different environments, significant difference was found in cell membrane permeability of leave treated by low temperature between parents and large range of variation was observed among DH lines. And the coefficients of variations were 17.9 % (E1), 14.4 % (E2), and 13.9 % (E3), respectively. The cell membrane permeability of the DH population segregated continuously and followed a normal distribution, and both absolute values of skewness and kurtosis were less than 1.0 (Table 6.27), indicating its polygenic inheritance and suitability of the data for QTL analysis.

Table 6.27 Variations of cell membrane permeability of leaf treated by low temperature (−18 °C) in parents and DH population in three environments
6.4.1.5.2 6.4.1.5.2 QTL Analysis of Cell Membrane Permeability of Leaf in Wheat

A total of 21 additive QTLs conferring cell membrane permeability of leaf were detected on chromosomes 1B (three regions), 2A (two regions), 3A (three regions), 3B (three regions), 5B (five regions), 6A (one region), 6B (one region), 6D (one region), 7B (one region), and 7D (one region), respectively, in three different environments. Seven, nine, and five QTLs were found in E1, E2, and E3, respectively, and most of them were contributed by Huapei 3, which had stronger cold resistance (Table 6.28).

Table 6.28 Position, effect, and phenotypic contribution of additive QTL for cell membrane permeability of leaf treated by low temperature (−18 °C) in three environments

The QTLs located on chromosome 5B, including qCMP-5B-1 (E1), qCMP-5B-2 (E2), and qCMP-5B-4 (E3), were located within the interval Xgwm213–Xswes861.2, were away from Xswes861.2 for 0.0 cM, and were detected in the three environments. The locus had most significant contribution in three environments, accounting for 17.5, 8.1, and 14.0 % of phenotypic variation.

In addition, qCMP-1B-1, qCMP-3B-2, qCMP-5B-1, and qCMP-5B-4 were all main-effect QTLs, whose contributions were all greater than 10 %, accounting for 18.4, 17.7, 17.5, and 14.0 % of phenotypic variation. Except for qCMP-3B-2, their positive alleles were all came from Huapei 3. And other 17 additive QTLs were minor genes, whose contributions smaller than 10 %.

6.4.2 Research Progress of Cell Membrane Permeability QTL Mapping and Comparison of the Results with Previous Studies

6.4.2.1 Research Progress of QTL Conferring Cold Resistance of Wheat

Although Brube et al. (1988) and Waldman et al. (1975) found that genes related to cold resistance were on chromosomes 4D, 5A, 5D, and 7A, etc., but the specific locations were not clear. With the development of genetic map and QTL analysis, Båga et al. (2007), Galiba et al. (1995), Vágújfalvi et al. (2003), Sutka et al. (2001), Tóth et al. (2003), and Liu et al. (2005) studied the cold resistance and relative transuding rate of electrolyte under low temperature using DH, RIL, and SCRL (single chromosome recombinant lines) populations and identified 24 loci and their linking molecular markers, among them 19 QTLs, were major QTLs, including one transcription factor, three vernalization genes and two cold-resistant genes. Precious results showed that important QTLs conferring cold resistance distributed on chromosomes 2A, 5A, and 5D (Table 6.29).

Table 6.29 Summary of QTL of wheat resistance to cold (PVE > 10 %)

6.4.2.2 Comparison of this Study with Previous Researchers

In this study, a total of 21 QTLs conferring cell membrane permeability of leaf treated by low temperature (−18 °C) were detected, including four major QTLs (contribution greater than 10 %), which located on chromosomes 1B, 3B, and 5B, respectively. Furthermore, qCMP-5B-1 (E1) and qCMP-5B-4 (E3) were located within the interval Xgwm213–Xswes861.2, and a locus was also detected within this interval in environment 2, accounting for 8.1 % of phenotypic variation, and was away from Xswes861.2 for 0.0 cM. Hence, Xswes861.2 could be used in MAS in wheat breeding programs of cold resistance. In previous studies, QTLs conferring cold resistance were mainly located on chromosomes 1D, 2A, 2B, 5A, 6D, 7B, 4B, 5D, and 5B, while this study showed that the chromosomes 2A, 6B, 7B, 3A, 6A, 6D, and 7D were also related to cold resistance, except the chromosomes 1B, 3B, and 5B. Comparing with the previous results, it was found that the related QTLs on chromosomes 2A, 7B, 5A, 5B, and 5D were very important for cold resistance in wheat.

6.5 QTL Mapping of Root Traits in Wheat

Root is an important organ absorbing water and minerals, whose development directly affects the growth and development of overground parts and material production, and is the foundation of the high and stable yield for crop (Liu et al. 2002; Moudal and Kour 2004; Partha et al. 2004). Development of root is not only affected by environment and cultivating condition but also controlled by genes. Caradus (1995) indicated that the traits correlated with root size such as root weight, root volume, the number of root, root length, root surface area, and the ratio of root dry weight to shoot dry weight had higher heritability; furthermore, the traits correlated with root morphology such as root average diameter, root hair length, adventitious root grade, branch grade, root density, and density of root length also had higher heritability. These root traits were all quantitative traits. In addition, Jing et al. (1997) researched the heritability of root morphology and its relationship with drought resistance and showed that there was significant positive correlation between drought resistance of wheat seedling and root dry weight.

Now, most of the researches related to root traits in wheat were focused on mapping QTL under abiotic stress such as high temperature and drought, using efficiency of NPK, salt stress, water stress, and heavy metal stress; in addition, majority studied root traits at seedling stage. Zhang and Xu (2002) identified QTL and interaction QTL conferring the number of root, root diameter, root dry weight, the ratio of root dry weight to shoot dry weight, and growth rate of root using a RIL population in wheat. Zhou et al. (2005) analyzed QTL and interaction QTL for the number of root, maximum root length, root raw weight, root dry weight, the ratio of root raw weight to shoot raw weight and the ratio of root dry weight and shoot dry weight under two different environments including water stress and no stress conditions, by using a DH population containing 150 progeny lines derived from a cross between Hanxuan 10 and Lumai 14. Landjeva et al. (2010) identified QTL for vigor located on the wheat D genome at seedling stage. Ibrahim et al. (2012) researched QTL conferring root morphology at wheat seedling stage under drought environment. Bai et al. (2013) researched the QTL for root traits at seeding stage and its relationship with plant height. Because wheat root is closely related to final yield and that it is difficult to improve wheat root by using traditional breeding method, we can use MAS to speed up the further improvement of wheat root. Hence, in this study, immortalized F2 (IF2) population of wheat derived from a DH population was used to analyze QTL for root traits at seedling stage, in order to find the markers, closely linking with root traits, to conduct molecular-assisted breeding.

6.5.1 QTL Mapping and Effects’ Analysis of Root Traits

6.5.1.1 Experiment Designing

A total of 30 seeds of 168 single crossed derived from a DH population (Huapei 3 × Yumai 57) and parents were sampled, and soaked with 1 % H2O2 for 24 h. After washing for 2 ~ 3 times by water, the samples were put in a light incubator (nighttime temperature was set as 12 ± 2 °C, while daytime temperature was 20 ± 4 °C) and cultured with deionized water until the first leaf emerged. Six excellent plants of each cross were sampled and cultured on foamed plastic with thickness of 0.5 cm (perforated with the diameter of 1 cm), and then fixed by disinfected sponge. At last, wheat seedlings were cultured with Hoagland’s solution (An et al. 2006) in cultivating basins (with height of 30 cm) for three replicates. Furthermore, 1 L of Hoagland’s solution consisted of 1 mmol Ca(NO3)2·4H2O, 0.2 mmol KH2PO4, 0.5 mmol MgSO4·7H2O, 1.5 mmol KCl, 1.5 mmol CaCl2, 1 µmol H3BO3, 50 nmol (NH4)6Mo7O24·4H2O, 0.5 µmol CuSO4·5H2O, 1 µmol ZnSO4·7H2O, 1 µmol MnSO4·H2O, and 0.1 mmol Fe3+-EDTA, and the pH of the solution was 6.0. Meanwhile, cultivating basins were brushed by black paint to supply dark environment for the growth of root. Replacement of the nutrient solution was done every three days.

Three individuals with consistent growth of each cross were sampled when the fourth leaf emerged, washed with distilled water, and divided into stems and roots using scissor. The traits including root total length (RTL), root surface area (RSA), root average diameter (RAD), root volume (RV), root tip number (RT), and maximum root length (MRL) were measured using the WinRHIZO root analysis system. The fresh roots and shoots were killed out for 10 min under 105 °C and then dried to balance weight under 80 °C. Furthermore, shoot dry weight (SDW) and root dry weight (RDW) were weighed. Root–shoot ratio was the root dry weight to shoot dry weight.

6.5.1.2 Results and Analysis

6.5.1.2.1 6.5.1.2.1 Phenotypic Variation and Correlation of Root Traits in IF2 Population

Big differences were found in nine root-related traits between parents. And the nine root traits of IF2 population segregated continuously and followed a normal distribution, and both absolute values of skewness and kurtosis were less than 1.0, except for RDW/SDW (Table 6.30), indicating its polygenic inheritance and suitability of the data for QTL analysis.

Table 6.30 Analysis of root traits at seedling stage in the IF2 population derived from Huapei 3 × Yumai 57

In addition to RAD, RTL was significantly or extremely significantly positively correlated with other seven traits, and the correlation between RTL and RSA was the largest (r = 0.981, P < 0.01), while RAD was negatively correlated with RT and RTL (r = 0.417, 0.314, respectively, P < 0.01), and they both reached significant level (Table 6.31).

Table 6.31 Coefficients of pairwise correlations of mean values of root traits at seedling stage in the IF2 population derived from Huapei 3 × Yumai 57
6.5.1.2.2 6.5.1.2.2 QTL Mapping and Effect Analysis of Root Traits in the IF2 Population

A total of seven additive QTLs (Table 6.32 and Fig. 6.12) and 12 pairs of epistatic QTLs (Table 6.33 and Fig. 6.13) for eight root traits were mapped on chromosomes 1A, 1D, 2A, 2B, 2D, 3A, 3B, 5D, 6D, and 7D. Additive (A), dominant (D) effects were observed across these QTLs, and the interactions between additive and additive (AA), additive and dominance (AD), dominance and additive (AD), as well as dominance and dominance (DD) were also detected.

Table 6.32 Intervals, effects, and contributions of QTL for root traits at seedling stage in the IF2 population derived from Huapei 3 × Yumai 57
Fig. 6.12
figure 12

Positions of additive QTL associated with root traits at seedling stage in the IF2 population derived from Huapei 3 × Yumai 57

Table 6.33 Estimated epistasis and contributions of QTL for root traits at seedling stage in the IF2 population derived from Huapei 3 × Yumai 57
Fig. 6.13
figure 13

Positions of epistatic QTL for root traits at seedling stage in the IF2 population derived from Huapei 3 × Yumai 57

For RTL, one additive QTL and two pairs of epistatic QTLs were detected. The additive QTL on chromosome 2D was contributed by Yumai 57, accounting for 4.44 % of phenotypic variation, and performed overdominant effect. The two pairs of epistatic QTLs on chromosomes 2D-5D and 3B-5D explained phenotypic variation from 0.17 to 14.05 % and performed AA, DA, and DD interactions. Meanwhile, the QTL designated as QRtl2D performed epistatic effect.

One additive QTL and two pairs of epistatic QTLs conferring RSA were identified. The additive QTL on chromosome 2D accounted for 8.18 % of phenotypic effect and performed dominant effect. The two pairs of epistatic QTLs on chromosomes 2D-5D and 3B-5D explained 14.05 and 6.38 % of phenotypic variation, respectively. Further, the epistatic QTL of 2D-5D performed AD interaction, while the epistatic QTL of 3B-5D performed DD interaction.

One additive QTL for RAD on chromosome 2A was detected, accounting for 9.32 % of phenotypic variation, and contributed by Huapei 3. No pair of epistatic QTL was identified.

One additive QTL and five pairs of epistatic QTLs conferring RV were detected. The additive QTL on chromosome 7D, explaining 0.03 % of phenotypic variation, was contributed by Huapei 3 and showed overdominant effect. Five pairs of epistatic QTLs were all mapped on chromosomes 1A and 2A and showed different effects of AA, DA, and DD, explaining phenotypic variation from 0.04 to 5.46 %.

One additive QTL for MRL was identified on chromosome 6D, accounting for 9.98 % of phenotypic variation, and contributed by Yumai 57. And it performed partial dominant effect.

One pair of epistatic QTL for RT was mapped on chromosomes 1D-2B, and showed AD, DA, and AD effects, accounting for 0.20, 7.20, and 7.02 % of phenotypic variation, respectively. No QTL with additive effect and dominant effect was identified.

One additive QTL, one dominant QTL, and two pairs of epistatic QTLs for RDW were detected. Further, the additive QTL on chromosome 2D was contributed by Yumai 57, accounting for 3.53 % of phenotypic variation, and showed overdominant effect. The dominant QTL explained 9.81 % of phenotypic variation. The two pairs of epistatic QTLs were mapped on chromosomes 1D-2A and 2A-3A, accounting for 8.49 and 8.68 % of phenotypic variation, respectively, and performed AA interactions.

Among the seven additive QTLs for root traits detected in this study, some loci only performed additive effects, and some loci only performed dominant effects, while only a few loci showed additive and dominant effects simultaneously. Furthermore, the loci with both additive and dominant effects gave priority to dominant effects, and only one locus was detected in this study. There were differences in effect size among different loci, and their directions were not consistent. Twelve pairs of epistatic QTLs detected in this study gave priority to AA and DD effects.

6.5.2 Research Progress of Root Traits’ QTL Mapping and Comparison of the Results with Previous Studies

6.5.2.1 Research Progress of QTL Mapping Conferring Root Traits

Growth and development of root directly affects acquiring nutrient substance, thus affecting final yield of wheat because growth of wheat was affected by environment condition such as drought, water, N, P, K, heavy metal, and salt. Therefore, in recent years, researches regarding root traits were focused on QTL mapping for related traits under abiotic stress. It was found that Wu et al. (2007), Landjeva et al. (2010), Yang (2012), Xu et al. (2012), and Ren et al. (2012) detected QTL for wheat root traits under salt stress using DH and RIL populations, and a total of 26 QTLs were identified. Most of these QTLs distributed on chromosomes 3A, 5A, 5B, and 2D, among which 16 QTLs were major QTLs with the highest R 2 of 36.06 % (Table 6.34). Ibrahim et al. (2012) detected QTL for root traits in wheat using BC2F4-6 population under drought condition, and 32 QTLs were detected. Furthermore, multiple QTLs conferring root traits were distributed on chromosomes 1D, 2A, 2D, and 7D. Liu et al. (2013) detected QTL for root traits under water stress, and 46 QTLs including 20 major QTLs were detected with the highest effect of 24.31 %. An et al. (2006) mapped five QTLs for RDW under condition with different level of N fertilizer, and four major QTLs were found with the highest effect of 19.6 %. Bail et al. (2013), Liu et al. (2011), Ren et al. (2012), Jiang (2012), and Hamada et al. (2012) identified 69 QTLs conferring root-related traits of wheat seedlings on chromosomes 2A, 2B, 5D, 2D, 3B, 4D, 3A, 6A, and 7D, using different DH population and RIL population, and 29 of 69 QTLs were major QTLs with the highest effect of 68 % (Ren et al. 2012). Sharma et al. (2011) identified 15 QTLs for root-related traits using 1RS-1BS map, and the highest effect of single QTL was 56.0 %.

Table 6.34 Summary of QTL of wheat root traits (PVE > 10 %)

6.5.2.2 Comparsion of the Results with the Previous Studies

A total of seven QTLs for root-related traits of wheat seedlings were identified in this study. Among them, three QTLs were contributed by Yumai 57, while two QTLs were contributed by Huapei 3, and QRtl2D, QRv7D, and QRdw2D showed overdominant effects, indicating that the parents with strong advantage should be selected to configured crosses. Among the 12 pairs of epistatic QTLs detected in this study, some QTLs interacted with other two QTLs simultaneously. For example, QRtl5D interacted with QRtl2D and QRtl3B, controlling RTL; while the QTL located within the interval Xgwm448–Xwmc455 interacted with both QRdw1A and QRv3A, indicating that epistasis was very important for heredity of root-related traits in wheat seedlings, but the mechanism was very complicated (Xing et al. 2002; Li et al. 2001; Mei et al. 2005), which needed further research. Most of the additive QTLs for root traits, detected in this study, were mapped on chromosomes 2D and 7D, which were also found in the previous researches, indicating that important QTLs or genes confer root traits in wheat distributed on D genome.

6.6 QTL Mapping Conferring Leaf-Related Traits in Wheat

Leaf is the main photosynthetic organ. Among them, flag leaf of wheat, with the highest photosynthetic efficiency at late growth stage and the highest contribution to formation of grain and yield, is the main source of carbohydrates in wheat grain and can contribute to yield for one-third. At home and abroad, lots of researches related to effects of wheat flag leaf on photosynthetic efficiency and yield were conducted, but few researches focused on genetic loci conferring flag leaf. Keller et al. (1999) identified eight QTLs for flag leaf width on chromosomes 1A, 1B, 2A, 3B, 5A, 5B, and 6A, respectively, which could account for 59.5 % of phenotypic variation, using a RIL population derived from Forno/spelt Oberkulmer including 226 lines. Lohwasser et al. (2004) detected 23 QTLs for length and width of the three basal leaves by using a RIL population including 114 lines under greenhouse conditions. Identifying molecular markers closely linked with leaf morphology on the base of previous studies is very important for improving photosynthetic efficiency and yield at the molecular level.

6.6.1 QTL Mapping for Leaf Morphology of Wheat Based on a DH Population

6.6.1.1 Materials and Methods

Five plants of each line were sampled on 10 days after heading to measure the included angle between flag leaf of main stem and stem designed as flag leaf angle (FLAN). While five main stems of each line were sampled at filling stage (20 days after anthesis) to measure length and width of the upper three leaves (flag leaf, second leaf, and third leaf). And leaf area was obtained by using the formula as follows: leaf area = (leaf length × leaf width)/1.2.

6.6.1.2 QTL Mapping and Effect Analysis of Leaf-Related Traits

Leaf morphology included the traits such as FLAN, and the length, width, and area of the upper three leaves. Furthermore, 31 additive QTLs and 22 pairs of epistatic QTLs confer leaf morphology, and seven of the 31 additive QTLs involved in QTL × environment interaction (Tables 6.35 and 6.36).

Table 6.35 Estimated additive (A) and additive × environment (AE) interactions of QTL for leaf morphology
Table 6.36 Estimated epistasis (AA) and epistasis × environment (AAE) interactions of QTL for leaf morphology
6.6.1.2.1 6.6.1.2.1 QTL Mapping and Effect Analysis of Flag Leaf Angle (FLAN)

A total of four additive QTLs for FLAN were mapped on chromosomes 2B, 2D, 4D, and 5B, accounting for 5.15, 2.17, 14.47, and 5.48 % of phenotypic variation, respectively (Table 6.35), among which qFLAn4D had the highest R 2 value, explaining 14.47 % of phenotypic variation. Furthermore, in addition to qFLAn2D, the other three additive loci were contributed by Yumai 57. And no AE was detected.

Six pairs of epistatic QTLs for FLA distributed on chromosomes 1B-6D (2 regions), 2A-5D, 2A-3D, 4D-7B, and 5B-7D, respectively, were identified, accounting for phenotypic variation from 0.61 to 5.22 % (Table 6.36). However, no interactions between epistasis and environment were detected.

6.6.1.2.2 6.6.1.2.2 QTL Mapping and Effect Analysis of Flag Leaf Length (FLL)

Three additive QTLs conferring FLL on chromosomes 3A, 5D, and 6D were detected, accounting for 13.82, 6.87, and 5.28 % of phenotypic variation, respectively (Table 6.35). Among them, the QTL named as qFLLe3Aa had the highest contribution, explaining 13.82 % of phenotypic variation. In addition to qFLLe6D, other two QTLs were contributed by Yumai 57. Meanwhile, qFLLe6D involved in AE interactions and contributed 5.99 % of phenotypic variation.

Four pairs of epistatic QTLs for FLL on chromosomes 2B-3D, 2D-5A, 3A-4B, and 5A-5B were detected, explaining 5.42, 7.43, 5.08, and 5.27 % of phenotypic variation, respectively (Table 6.36), and no AAE was detected. The total contribution of epistasis was 23.20 % of phenotypic variation.

6.6.1.2.3 6.6.1.2.3 QTL Mapping and Effect Analysis of Flag Leaf Width (FLW)

Four additive QTLs for FLW on chromosomes 3A, 4B, 4D, and 7D were detected, accounting for 9.19, 7.26, 8.64, and 5.45 % of phenotypic variation, respectively (Table 6.35). Among them, qFLWi3A had the highest contribution, explaining 9.19 % of phenotypic variation. In addition, the four loci were all contributed by Huapei 3. No AE was detected.

Four pairs of epistatic QTLs conferring FLW on chromosomes 1D-6D, 2B-6B (2 regions), and 2B-4B were detected, accounting for 3.41, 2.04, 1.21, and 2.23 % of phenotypic variation, respectively (Table 6.36). And, no AAE was detected.

6.6.1.2.4 6.6.1.2.4 QTL Mapping and Effect Analysis of Flag Leaf Area (FLAR)

A total of six QTLs for FLAR on chromosomes 2A, 3A (2 regions), 4B, 4D, and 7D were detected, accounting for phenotypic variation from 1.17 to 7.47 % (Table 6.35), and the QTL (qFLAr3Ac) had the highest contribution, accounting for 7.47 % of phenotypic variation. The three QTLs, qFLAr3Ac, qFLAr4D, and qFLAr7D, were contributed by Huapei 3, while other QTLs were contributed by Yumai 57. And, no AE was detected.

A total of five pairs of epistatic QTLs for FLAR on chromosomes 1B-4A, 2A-7B, 2A-3A, 5A-6A, and 7A-7A were detected, explaining 1.62, 5.51, 1.71, 4.50, and 7.98 % of phenotypic variation, respectively (Table 6.36). And, no AAE was detected.

6.6.1.2.5 6.6.1.2.5 QTL Mapping and Effect Analysis of Second Leaf Length (SLL)

For SLL, three additive QTLs on chromosomes 2A, 2D, and 5D were identified, explaining 2.66, 13.74, and 13.28 % of phenotypic variation, respectively (Table 6.35), and qSLLe2D had the highest contribution, explaining 13.74 % of phenotypic variation. In addition to qSLLe2A, other QTLs were contributed by Yumai 57. The QTL (qSLLe5D) involved in AE, explaining 11.49 % of phenotypic variation.

Only one pair of epistatic QTL for SLL on chromosomes 6A-6B was identified (Table 6.36), explaining 6.82 % of phenotypic variation, and no AAE was detected in this study.

6.6.1.2.6 6.6.1.2.6 QTL Mapping and Effect Analysis of Second Leaf Width (SLW)

Only one additive QTL for SLW on chromosome 5D was mapped, explaining 5.29 % of phenotypic variation (Table 6.35), whose positive alleles originated from Yumai 57. Furthermore, the QTL involved in AE, and the total contribution of additive effect was 12.42 %.

One pair of epistatic QTL for SLW was also mapped on chromosomes 4B-7D (Table 6.36), explaining 3.26 % of phenotypic variation, and showed AAE.

6.6.1.2.7 6.6.1.2.7 QTL Mapping and Effect Analysis of Second Leaf Area (SLAR)

For SLAR, a total of two additive QTLs on chromosomes 2D and 5D were detected (Table 6.35), accounting for 2.24 and 12.31 % of phenotypic variation. Among them qSLAr5D had the highest contribution, with the value of 12.31 %, and involved in AE, explaining 17.78 % of phenotypic variation. The total contribution of additive effect was 32.23 %. Furthermore, no epistatic QTL for SLAR was mapped.

6.6.1.2.8 6.6.1.2.8 QTL Mapping and Effect Analysis of Third Leaf Length (TLL)

A total of three additive QTLs on chromosomes 2D, 4A, and 5D were identified, accounting for 3.55, 5.12, and 21.91 % of phenotypic variation (Table 6.35), and qTLLe5D had the highest contribution, accounting for 21.91 % of phenotypic variation. All of the three QTLs were contributed by Yumai 57. And no AE was detected.

Only one pair of epistatic QTL for TLL was detected on chromosome 2A-6A (Table 6.36), explaining 2.39 % of phenotypic variation, and no AAE for TLL was detected.

6.6.1.2.9 6.6.1.2.9 QTL Mapping and Effect Analysis of Third Leaf Width (TLW)

For TLW, two additive QTLs on chromosomes 2D, 4B, and 5D were detected, accounting for 3.46 and 8.38 % of phenotypic variation, respectively (Table 6.35). Meanwhile, qTLWi2D was contributed by Huapei 3, while qTLWi5D was contributed by Yumai 57. Furthermore, qTLWi5D involved in AE, and the interactive effect was 29.40 %.

No AAE was detected for TLW in this study.

6.6.1.2.10 6.6.1.2.10 QTL Mapping and Effect Analysis of Third Leaf Area (TLAR)

A total of three additive QTLs for TLAR were identified on chromosomes 2D and 5D, respectively. And the QTL (qTLAr5D) had the highest contribution, explaining 18.0 % of phenotypic variation, and whose positive alleles originated from Huapei 3. Meanwhile, both qTLAr4B and qTLAr5D involved in environmental interactions, accounting for 22.92 % of phenotypic variation (Table 6.35). And no epistasis was detected for TLAR.

6.6.2 Association Analysis for Leaf Morphology Based on a Natural Population Derived from the Founder Parent Aimengniu and Its Progenies

6.6.2.1 Materials and Methods

6.6.2.1.1 6.6.2.1.1 Materials

A total of 109 wheat accessions including sister lines, parents, and derived lines of the founder parent Aimengniu. Among which, the three parents and seven sister lines were provided by Tai’an subcenter of national wheat improvement, and the others were provided by Institute of Crop Sciences, Chinese Academy of Agricultural Sciences.

6.6.2.1.2 6.6.2.1.2 Field Trial and Determining Phenotypic Data

Field trial was conducted continuously for four years in 2007–2010 in farm of Shandong Agricultural University (Tai’an, Shandong province). The experimental design followed a completely randomized block design with three replications in each environment. In autumn, each year, all varieties were planted in 2-m-long three-row plots (25 cm apart). Management was in accordance with local practices. At filling stage (20 days after anthesis), five flag leaves of main stems of each line were sampled to measure leaf length and width, and leaf area was calculated by the formula as follows: Leaf area = Leaf length × Leaf width ÷ 1.2. And the average value of each trait was used to analysis.

6.6.2.1.3 6.6.2.1.3 Analysis of DArT Marker

DNA of the 109 wheat accessions was extracted from adult plant leaves of five individuals using the cetyl trimethyl ammonium bromide (CTAB) method and then genotyped by DArT markers at the Diversity Arrays Technology Pty Limited (Canberra, Australia; http://www.triticarte.com.au). The concentration and purity of DNA were determined using 0.8 % agarose (final concentration of EB was 0.5 µg mL−1).

A total of 7000 DArT markers, exploited on wheat, were used to scan all of the DNA samples by Triticarte Pty. Ltd. (Canberra, Australia). The known map including Cranbrook × Halberd (339 DArT markers) (Akbari et al. 2006), Arina × NK93604 (189 DArT markers) (Semagn et al. 2006), Avocet × Saar (112 DArT markers) (Lillemo et al. 2008), Colosseo × Lloyd (392 DArT markers) (Mantovani et al. 2008), the map consisted of 779 DArT markers (Wenzl et al. 2004), 3B physics map (Paux et al. 2008), and the information from nine populations were integrated by Triticarte Pty. Ltd. (http://www.triticarte.com.au/). Wheat DArT marker genetic map was constructed using the software of Mapchart 2.1 (Voorrips et al. 2002).

6.6.2.1.4 6.6.2.1.4 Analysis of Population Structure

A total of 42 DArT markers (one marker was selected on long arm and short arm of each chromosome) were used to analyze the population structure among wheat accessions using the software Structure 2.0 (Pritchard et al. 2000) with the admixed model. Five independent runs were performed setting the number of populations (K) from 2 to 12, burn-in period 100,000, and iterations 100,000. The maximum likelihood score corresponding to the setting K as target to select appropriate K value as subgroup number was taken.

6.6.2.1.5 6.6.2.1.5 Analysis of Linkage Disequilibrium

LD between mapped DArT loci was calculated by the squared allele frequency correlation coefficient (r 2) implemented in TASSEL 2.0.1 (http://www.maizegenetics.net). The pairwise significance was computed by 1000 permutations after removal of loci with rare alleles (f < 0.10). LD was calculated separately for unlinked loci and loci on the same chromosome.

6.6.2.1.6 6.6.2.1.6 Association Analysis

Significant marker–trait associations were identified using a mixed linear model (MLM) in TASSEL 2.1 (http://www.maizegenetics.net/). The population structure was inferred by program Structure 2.0 and kinship matrix was calculated by software TASSEL 2.1. The significance of associations between a marker locus and a trait was indicated by the p value. And it was considered that there were associations between them, when P ≤ 0.001.

6.6.2.2 Analysis of Marker–Trait Associations

6.6.2.2.1 6.6.2.2.1 Phenotypic Data

The flag leaf length (FLL), flag leaf width (FLW), and flag leaf area (FLAR) of the population under the four environments were summarized in Table 6.37. There were significant differences in flag leaf traits among different individuals, while the differences were smaller among different environments. The mean percentages of phenotypic variation explained by population structure for FLL, FLW, and FLAR were 25.43, 9.78, and 25.73 %, respectively. And broad-sense heritability for FLL, FLW, and FLAR were 76.3, 80.1, and 72.8 %, respectively.

Table 6.37 Descriptive statistics and percentage of phenotypic variation explained by population structure for flag leaf length, width, and area (FLL, FLW, FLAR)
6.6.2.2.2 6.6.2.2.2 Association Analysis

The associations between DArT markers and FLL, FLW, and FLAR were tested through the mixed linear model. Percentage of phenotypic variation explained by individual-associated marker and significance of association was summarized in Table 6.38. Based on the critical p value less than 0.01, we identified 61 marker-trait associations (MTAs) involving 46 DArT markers distributed on 14 chromosomes (1B, 1D, 2A, 2B, 2D, 3A, 3B, 4A, 5B, 6A, 6B, 6D, 7A, and 7B) for the three traits and the R 2 ranges from 0.1 to 16.4 % (Fig. 6.14).

Table 6.38 The marker loci associated with flag leaf and corresponding explained phenotypic variation
Fig. 6.14
figure 14figure 14

Genetic linkage map for DArT markers significantly associated with flag leaf in bold, markers significantly associated with more than three environments

A total of 13 significant MTAs for FLL were detected on chromosomes 1B, 2B, 3A, 3B, 4A, 5B, 6A, 6B, and 6D, explaining phenotypic variation from 0.1 to 14.49 %. And wPt-3109 (2B) had the highest R 2.

Thirty eight significant MTAs involving 31 markers distributed on chromosomes 1D, 2A, 2B, 2D, 3A, 4A, 5B, 6A, 6B, 7A, and 7B for FLW were identified and the R 2 ranged from 1.03 to 16.4 %. And wPt-9422 had the highest R 2 (3A, 49.3 cM). Meanwhile, several MTAs were repeatedly detected in two environments, for example, wPt-665037 (1D, 11.7 cM), wPt-664989 (1D, 12.1 cM), wPt-665204 (1D, 12.1 cM), wPt-6711 (2A), wPt-1902 (2D), wPt-3130 (6B, 39.6 cM), wPt-9990 (6B, 39.6 cM), which explained phenotypic variation 11.28, 13.21, 12.18, 10.88, 5.45, 8.77, and 7.77 %, respectively.

A total of 10 significant MTAs distributed on chromosomes 2D, 3B, 4A, 5B, 6A, and 7B for FLAR were identified, and R 2 ranged from 1.1 to 13.97 %. Meanwhile, wPt-6043 (3B) had the highest R 2.

It is worth noting that some markers associated with several traits. For example, wPt-3457 (5B, 92.3 cM) simultaneously associated with both FLL and FLW, wPt-5836 (3B, 71.6 cM) and wPt-4270 (6A) associated with both FLL and FLAR, while wPt-730744 (2D, 61.4 cM), wPt-667476 (2D, 62.3 cM), wPt-1902 (2D), wPt-5737 (5B, 69.9 cM), and wPt-5737 (7B, 56.6 cM) associated with both FLW and FLAR.

6.6.3 Research Progress of Leaf Morphology QTL Mapping and Comparison of the Results with Previous Studies

6.6.3.1 Research Progress of Leaf Morphology QTL Mapping

Few researches related to QTL for physiological characteristic of leaf morphology in wheat. Keller et al. (1999) identified eight QTLs for FLW on chromosomes 1A, 1B, 2A, 3B, 5A, 5B, and 6A, explaining up to 59.5 % of phenotypic variation, by using a RIL population consisted of 226 lines derived from Forno/spelt Oberkulmer. Lohwasser et al. (2004) detected 23 QTLs for length and width of the third basal leaf by using a RIL population including 114 lines under greenhouse conditions. Zhang et al. (2012) used a RIL population to identify QTLs for FLL, FLW, FLAR, SLL, SLW, SLAR, TLL, TLW, TLAR, and 29 QTLs were detected, and none of 29 QTLs were major QTLs, with the highest effect of 13.87 %. Meanwhile, several QTLs controlling leaf morphology were found on chromosomes 4B and 4D.

6.6.3.2 Comparsion of the Results with the Previous Studies

In this study, a total of 31 additive QTLs for leaf morphology-related traits were identified, mainly distributing on chromosomes 2D, 4D, 5D, and 7D, and six of 31 QTLs were major QTLs with the highest effect of 21.91 %. Meanwhile, the QTLs for leaf morphology were mainly mapped on chromosomes 2D, 4A, 4B, 4D, 5D, and 7D based on association analysis, and within the linked marker intervals of leaf morphology, some QTLs for yield-related traits, quality traits, and important agronomic traits were also mapped. There were similar results between the partial results of this paper and those of Keller et al. (1999) and Zhang et al. (2012), indicating that important QTLs or genes controlling leaf morphology of wheat were distributed on D genome. Moreover, some associations were repeatedly detected in several environments, which could be considered to be relatively stable, and linked molecular makers with higher contribution to phenotypic variation could be used in MAS breeding programs. For example, several markers distributing on chromosomes 1D and 6B were associated with FLW and had the higher contributions to phenotypic variation.

The big ranges of variation of flag leaf in different varieties were in favor of mapping more key intervals linked with flag leaf traits. For example, several markers distributing on chromosomes 1D, 2D, and 6B were associated with some traits, which may be enrichment regions of genes controlling flag leaf traits, and that needs to be studied in further research.