- 1School of Applied Systems Biology, La Trobe University, Bundoora, VIC, Australia
- 2Agriculture Victoria, AgriBio, Centre for AgriBioscience, Bundoora, VIC, Australia
In plant breeding programs, multiple traits are recorded in each trial, and the traits are often correlated. Correlated traits can be incorporated into genomic selection models, especially for traits with low heritability, to improve prediction accuracy. In this study, we investigated the genetic correlation between important agronomic traits in safflower. We observed the moderate genetic correlations between grain yield (GY) and plant height (PH, 0.272–0.531), and low correlations between grain yield and days to flowering (DF, −0.157–0.201). A 4%–20% prediction accuracy improvement for grain yield was achieved when plant height was included in both training and validation sets with multivariate models. We further explored the selection responses for grain yield by selecting the top 20% of lines based on different selection indices. Selection responses for grain yield varied across sites. Simultaneous selection for grain yield and seed oil content (OL) showed positive gains across all sites with equal weights for both grain yield and oil content. Combining g×E interaction into genomic selection (GS) led to more balanced selection responses across sites. In conclusion, genomic selection is a valuable breeding tool for breeding high grain yield, oil content, and highly adaptable safflower varieties.
Introduction
Genomic selection (GS), as an efficient breeding tool, was first implemented in animal genetic improvements (Schaeffer, 2006; Meuwissen et al., 2013). With the availability of genome-wide markers and low-cost genotyping technologies, GS is rapidly adopted in plant genetics and breeding (Heffner et al., 2009; Lin et al., 2014). In GS, a training population, which has been genotyped and phenotyped, is used to train a statistical model to predict individuals that have been genotyped but not phenotyped. The predicted value is termed as an estimated breeding value (EBV) if the model utilized a pedigree relationship between individuals and a genomic estimated breeding value (GEBV) if marker data is used in the analysis. The EBVs or GEBVs can be used to rank and select germplasm (Meuwissen et al., 2001; de Los Campos et al., 2013).
Implementing GS in the breeding program heavily depends on the prediction accuracy of GEBVs. Multivariate models showed higher prediction accuracy than univariate models in GS studies (Jia and Jannink, 2012; Sun et al., 2019). The additional information in genetically correlated traits is exploited in multivariate models, and the higher the correlation is, the greater the multivariate models would benefit (Zhao et al., 2022a). Rutkoski et al. (2016) included canopy temperature and normalized difference vegetation index in a multivariate model, which resulted in a 70% prediction accuracy improvement for grain yield in wheat. Important agronomy traits, such as days to flowering, plant height, etc., with malting quality traits, were used to assess the prediction accuracy of multivariate models, and the result showed a 76% higher predictive ability than univariate models (Bhatta et al., 2020).
GS can improve the genetic gain of target traits in crop breeding programs mainly by increasing selection accuracy, shortening breeding cycles, etc. (Falconer and Mackay, 1996; Xu et al., 2017). Studies to compare genetic gains achieved by different selection strategies have been conducted with real datasets and simulations (Woolliams et al., 2015; Marulanda et al., 2016). Simulation with ryegrass showed a 4-year reduction in cycle time, with genetic gain doubling or tripling when GS is incorporated into the breeding program (Lin et al., 2016). In the short breeding cycle, improving the selection accuracy would be important for higher genetic gain. Beyene et al. (2015) estimated genetic gains in grain yield in eight bi-parental maize populations and observed higher grain yield achieved from GS than conventional pedigree-based phenotypic selection (PS). A study with wheat indicated that the integrated PS + GS approach could result in an optimal genetic gain for yield (Lozada et al., 2020).
GS can simultaneously select multiple traits with the genomic selection index (GSI), a linear combination of ‘traits’ GEBVs. Both simulation and real data showed that GSI was more efficient than the phenotypic selection index (PSI) per unit of time (Ceron-Rojas et al., 2015; Habyarimana et al., 2020b). A study with maize confirmed that GSI is more efficient in obtaining sustainable gain than the phenotypic selection index (PSI) per unit of time in selection for grain yield, plant height, etc. (Ceron-Rojas et al., 2015). Various GSI were compared in wheat, and the results indicated the employed GSI mitigated the negative trade-off between grain yield and protein content and led to a substantial selection response for protein yield (Michel et al., 2019). In multitrait index selection, the choice of the selection index and the assignment of the weights to different traits strongly affected the selection gain (Marulanda et al., 2021).
Safflower is a multi-purpose crop that is grown worldwide in Africa, America, Europe, and Asia (Zohary, 1999). It is grown as a vegetable, cut flower, herbal medicine, bird feed, etc. However, the main growing interest has shifted to safflower seed oil because of its high oleic and linoleic acid content (Li and Mündel, 1996; Khalid et al., 2017). In 2020, the global safflower growing area was about 0.8 million ha, and it was around 40,000 ha in Australia (FAO, 2020). Safflower has the potential to be further incorporated into the farming system because of its drought tolerance. Two Australian safflower varieties released in 1998 carried resistance to leaf spot (Alternaria Carthami) and root rot (Macrophomina phaseolina), respectively, and most varieties grown today in Australia were developed overseas (Jochinke et al., 2008). Breeding for high-yield safflower varieties is under demand. In this study, we attempted to evaluate the genetic gain by adopting genomic selection to select elite crossing parents from a diverse Genebank collection. The aims of the study were 1) to estimate the genetic correlation between major safflower agronomy traits; 2) to evaluate the genomic prediction accuracy for safflower grain yield by combining other traits with multivariate prediction models; 3) to compare selection responses of grain yield to different safflower selection strategies.
Materials and methods
Plant material, phenotyping, and genotyping
The plant material used in this study belongs to a diverse safflower collection sourced from the Australian Grain Genebank. The accession information, field design, and genotyping detail have been described previously (Zhao et al., 2021). Briefly, all accessions in the collection were tested in 2017 and 2018 with two trials each year: site 1 (2017 irrigation site, IR), site 2 (2017 rainfed, RF), site 3 (2018 rainfed in low rainfall zone, LR), and site 4 (2018 rainfed in high rainfall zone, HR). Site IR was the optimal site. Site RF suffered water stress at the flowering stage, and sites LR and HR suffered water stress during the whole safflower growing period. Field trials adopted a randomized complete block design with 2-3 replications, and the plot size was 1 m × 5 m with five rows in each plot. Eight traits were recorded (Supplementary Table S1), including days to flowering (DF, days from sowing to 25% of the plot flowering), days to maturity (DM, days from sowing to 90% of the plot being physiologically mature), flowering time (FT, days from flowering to mature), plant height (PH, in cm), seed weight (SW, Gram/per 500 achenes), grain yield (GY, t/ha, with the plot width 1.25 m), seed protein (PC%), and seed oil content (OL%).
A total of 349 safflower accessions were genotyped with genotyping-by-sequencing (GBS). Six seeds per accession were crushed, and genomic DNA was extracted, digested, amplified, purified, and sequenced with Illumina Hiseq 3,000 sequencer with in-house GBS protocols. SNPs were filtered with a missing data rate of <50% and minor allele frequency (MAF) > 0.01 for this study. The resulting 6,911 SNPs were imputed with LinkImpute (Money et al., 2015) and showed in Supplementary Table S2. Details on the population structure of those accessions have previously been described by Zhao et al. (2021).
Genomic parameters estimation
A multivariate linear mixed model with the variance-covariance matrix was used to estimate the genetic parameters (i.e., heritability, genetic variance, and genetic correlation between traits) at each site. The model could be illustrated as follows:
where y1 and y2 are the vectors of two traits, b1 and b2 are the vectors of two traits’ mean and replications, g1 and g2 are the vectors of random genetic effects following a variance-covariance matrix of two traits, as
The phenotypic correlation between traits was calculated as:
where σPx2 and σPy2 are the phenotypic variances of traits x and y,
The additive genetic correlation (
Prediction accuracy for grain yield
The best linear unbiased estimates for each safflower accession (BLUEs) were estimated for each trial the same as the previous study (Zhao et al., 2021) by fitting accessions as fixed effects and an autoregressive (AR) correlation structure in the error to account for the spatial variation. GBLUP model was adopted for the genomic prediction accuracy evaluation. It could be illustrated as follow:
where y is the vector of BLUEs, b is the vector of means, g is the vector of additive genetic effects, e is the residual, and X and Z are the correspondent design matrix for g and b. When the BLUEs of single trait GY (univariate), GY with PH/DF, and GY, PH, and DF (multivariate), were fitted respectively, different prediction models were developed for estimating the prediction accuracy of GY.
The prediction accuracy was defined as ‘Pearson’s correlation coefficient between GEBVs and BLUEs for GY by a five-fold cross-validation method. All accessions were randomly divided into five equal subsets. Each subset was, in turn, chosen as the validation set and was subsequently predicted by using the other four subsets as the training set. The prediction accuracies of multivariate models were compared from two cross-validation prediction scenarios. The first cross-validation scenario (MT-CV1) predicted accessions in the validation set that have been phenotyped with PH and DF but not GY, while the training set had phenotypes of GY, PH, and DF. The second cross-validation scenario (MT-CV2) predicted the performance of accessions in the validation set that have not been evaluated with GY, PH, and DF, while the training set had been phenotyped with GY, PH, and DF. The whole process was repeated five times. We calculated the mean prediction accuracy and standard deviation (SD) across all 25 validation sets at each site.
Selection response
Aside from assessing the genomic prediction accuracy for GY, we further explored the selection responses of two breeding strategies with different indices, which 1) aimed to select high-yield genotypes and 2) to select simultaneously high-yielding and high-oil content genotypes. Zhao et al. (2022b) observed high correlations between performance of lines at the site LR and HR for all traits, and outcomes should be comparable between LR and HR. Therefore, we only calculated the selection responses at sites IR, RF, and LR.
For selecting GY, we used BLUEs as the phenotypic selection index to perform phenotypic selection (PS). GEBVs estimated from the univariate model as the first GS index (SGS) and GEBVs estimated from the multivariate model (PH and GY) as the second GS index (MGS) were used for the genomic selection (GS), respectively.
For simultaneously selecting GY and OL, we compared two indices. We gave equal weight to GY and OL without considering the correlation between those two traits, represented as multi-trait GS index 1 (MTGS1). The GEBVs estimated for GY and OL with univariate GBLUP models were standardized before applying the weights. The second multi-traits GS index (MTGS2) was calculated with unequal weights, calculated following the formula:
where
All selections with different indices were conducted at each site. The selection responses at the other two sites were also calculated with the same selected candidates to compare the response across sites. We further estimated GEBVs for GY and OL with a g×E GBLUP model, which combined three sites and described by (Zhao et al., 2021) as follows:
Where terms are the same as in model (2), with gE being the interaction between site and additive genetic effects and Z2 being the incidence matrix. The combined GEBVs were used as GSI for GY selection (g×EGS) or combined with equal weights to simultaneously select for GY and OL (g×EMTGS1).
We selected the top 20% of the accessions based on indices as selected candidates. The selection differential (S) is calculated as the difference between the mean GY or OL of the selected candidates and the mean GY or OL of the diverse population at each site. We used the selection differential to calculate the selection response (R) according to R = h2S, where h2 is the narrow-sense heritability, and S is the selection differential. The percentage of the gain increased at each site was calculated to facilitate the comparison.
Results
Heritability and correlation
We estimated the variance components and the narrow sense heritability (h2) for all traits in each site. The results are averaged from pairwise traits combination and shown in Table 1. The estimated additive genetic variance (σ2A) was higher than the error variance (σ2e) for most traits at all sites, suggesting SNPs used in the study were able to capture the additive genetic variations in both the optimal site and stressed sites. SW and OL showed high estimated h2, ranging from 0.63 to 0.81, while PC, FT, and DM all showed moderate h2, around 0.5 at all sites. We observed large variations between sites for h2 for DF, PH, and GY. DF had a relatively low estimated h2 at site RF, 0.4, with high h2 at the other three sites. The estimated h2 for GY and PH were lower at sites LR and HR compared with sites IR and RF. The boxplot of BLUEs for each trait at each site was shown in Supplementary Figure S1.
The additive genetic correlations between traits within each site are shown in Figure 1. We observed the negative correlations between SW with OL and SW with PC at all sites (−0.4 ∼ −0.5), while OL and PC showed positive correlations with a strong positive correlation observed at sites LR (0.56) and HR (0.73). The correlations between OL and GY were low and varied across sites, from −0.02 at site LR to 0.19 at site IR. However, negative correlations between PC and GY were observed for all sites, ranging from −0.47 to −0.13. GY and PH showed a low positive correlation (0.27) at site LR, but it was moderate at the other three sites, and low correlations between GY and DF (−0.16–0.2) were observed at all sites. The phenotypic correlations between traits also showed similar patterns (Supplementary Figure S2).
FIGURE 1. Additive genetic correlation among pairwise safflower traits in four field sites. Color ranged from dark orange to dake blue is correspondent to the genetic correlation (rg) from −1 to 1. The abbreviations used for sites and traits in this figure are described in Table 1.
Prediction accuracy for multivariate models
In this study, the grain yield (GY) at each site was predicted with univariate and multivariate models by fitting BLUEs as the “phenotypes”. All models showed higher prediction accuracy at sites IR and RF than at sites LR and HR in both scenarios (Figure 2). The prediction accuracy for grain yield varied across four sites with the highest accuracy achieved at site RF, 0.61, and lowest accuracy at site LR, 0.28 with the univariate model. In the CV1 scenario, we observed the prediction accuracy for the GY_DF multivariate model was comparable to univariate model. However, the GY_PH model showed higher prediction accuracy than the univariate model, with a 4% accuracy increase at site IR and a 20% increase at site LR. The GY_DF_PH multivariate model performed the same as the GY_PH multivariate model at sites IR and RF but with lower accuracy at sites LR and HR. In the CV2 scenario, we observed all multivariate models performed the same as the univariate model across all sites.
FIGURE 2. Cross-validation genomic prediction accuracy (PA) with standard deviation (black line) using different prediction models for grain yield (GY) in safflower with two scenarios at four sites. Note: * Scenarios = GY predicted in the validation set when the CV1: Had plant height (PH) and days to flowering (DF) phenotypes, or CV2: Had no PH and DF phenotypes.** Models = GY (univariate, GY), GY_PH (multivariate, GY and PH), GY_DF (multivariate GY and DF), and GY_PH_DF (multivariate, GY, PH, and DF) *** The abbreviations used for sites and traits in this figure are described under Table 1.
Selection response to different selection strategies
The percentage of gain increase for each site was plotted in Figure 3. For the single trait GY selection (Figures 3A1–C1), we observed that the highest selection response for GY was achieved when the selection was conducted at the optimal site (IR), and the response was compromised at the stressed sites (RF and LR). When the selection was conducted at stressed sites, the selection response in the optimal sites was reduced dramatically (Supplementary Table S3). When selected at site IR, the yield gain was 0.7 t/ha, about a 23% yield increase. However, with the same selected candidate, the gain was compromised to 0.3 t/ha, about a 16% yield increase at site RF, and 0.03 t/ha, about a 2.6% yield increase at site LR. When selection at sites RF and LR, higher gains were achieved for both sites, with 0.4 t/ha, about 24% yield increase at site RF, and 0.08 t/ha, about 8% gain increase at site LR. But the gain for site IR was reduced to 0.36 t/ha (about 12% yield increase) and 0.2 t/ha (about 7% yield increase), respectively. With GEBVs predicted from the g×EGS model, we achieved a more balanced gain for the three sites, with 22% for IR, 20% for RF, and 4% for LR. The data revealed no major response differences between PS, SGS, and MGS for single traits GY selection, but MGS often performed a bit better than SGS. We didn't observe a big difference of gains between PS and GS when selecting at sites IR and RF, but the PS showed a slightly higher gain than GS when selecting at the LR site.
FIGURE 3. The percentage of the gain improved by using different selection indices for GY (A1–C1), and GY and OL (A2–C2). (A1) and (A2): Selection conducted at site IR; (B1) and (B2): Selection conducted at site RF; (C1) and (C2): Selection conducted at site LR. PS, phenotypic selection; SGS, GS selection with GEBVs estimated with the univariate model; MGS, GS selection with GEBVs estimated with the multivariate model; g × EGS, GS selection with GEBVs estimated with sites combined g × E GBLUP model; MTGS1, GS selection with equal weighted GEBVs; MTGS2, GS selection with unequal weighted GEBVs; g × EMTGS1, GS selection with GEBVs estimated with sites combined g × E GBLUP model using MTGS1 selection strategy. The abbreviations used for sites and traits in this figure are described in Table 1.
When the selection was performed for GY and OL simultaneously, the equal weight GS (MTGS1) and unequal weight GS (MTGS2) indices showed different gains for GY and OL (Figures 3A2–C2). MTGS1 method had all positive gains for GY and OL, while MTGS2 showed a higher gain for OL with negative gains for GY at RF and LR sites. When selecting at the site IR, the gain increase for GY varied dramatically across sites, from about 0.4% in LR to 16% in IR for MTGS1, with an 8.3%–11.4% gain increase for OL. MTGS2 showed a higher gain increase for OL, around 9.6–13.1-% OL, but negative responses for GY at RF and LR were observed when selected at the IR site. The combined g×EMTGS1 showed a 1.2%–15.8% gain for GY and an 8.7%–11.4% increase for OL (Figures 3A2–C2).
Discussion
Safflower is an underutilized oil seed crop. Breeding efforts for genetic improvement of target traits were modest. With limited genetic and genomic resources and limited research funds, the datasets we used in our study have been used for genetic diversity study, genetic characterization, and genomic parameters estimation of important agronomic traits in safflower. All those studies enhanced our knowledge of safflower and paved the way to transfer conventional safflower breeding into a highly targeted and more efficient modern crop breeding scheme. In this study, we further investigated the genomic prediction accuracy for grain yield with multivariate models and compared grain yield selection responses to different selection strategies. Combining GS into the conventional breeding program and optimizing the breeding strategies would facilitate and fast-track the genetic improvement for safflower.
Genetic parameters are important estimates for quantitative traits. In this study, we nearly doubled the SNPs number compared to our previous study (Zhao et al., 2021). A high marker density could affect the heritability estimation but not impact the prediction accuracy too much (Zhao et al., 2021). To increase the marker density, imputation of SNPs with missing rate up to 80% has been reported in the GS study for ryegrass and soybean (Jarquín et al., 2014; Faville et al., 2018). The estimated variance and heritability via the multivariate model in our study showed consistent trends with the univariate GBLUP models (Zhao et al., 2021). With the decomposition of covariance between traits in multivariate model, the h2 could be estimated more accurately compared with the univariate model. Therefore, our study indicates that the multivariate models may perform as well as the univariate models in genetic parameters estimation.
Combining the correlated trait with high heritability would improve the prediction accuracy for the low heritability traits by the multivariate model. The correlation between traits could be a key factor determining the multivariate model’s advantage over the univariate model (Montesinos-López et al., 2021). In our study, the higher prediction accuracy for the multivariate models combining GY and PH confirmed that the correlation between traits is important for the success of multivariate models. A study with Sorghum also showed that genomic prediction for GY benefits mainly from using PH as a secondary trait (Velazco et al., 2019). The prediction accuracy increase varied across sites for GY, and the highest increase was at site LR, where the estimated heritability for GY and correlation between PH and GY were both low. This indicated that multivariate models could benefit more for the trait when estimated heritability is low. Up to 60% PA increase for low heritability traits was reported in a lentil GS study when implementing multivariate models (Haile et al., 2020). We also evaluated the prediction accuracy of different cross-validation scenarios. The scenario 2, PH only included in the training set (CV2), didn't improve the PA, indicating that adding information of correlated traits in the prediction dataset was essential for improving the prediction accuracy by the multivariate models. A similar study in barley reported that the correlated traits only included in the training population would not change the PA in validation and performed equivalently to the univariate model (Arojju et al., 2020). Plant height could be measured at the early stage, and high throughput phenotyping technology, such as the UAV-based RGB imaging system, has been reported to be used for plant height in wheat (Volpato et al., 2021). It indicated that early grain yield prediction by combining the high throughput PH measurements to improve the GS breeding efficiency could incorporate into future safflower GS breeding.
With the limited genetic and genomic resources for the safflower, taking advantage of the modern breeding tool, such as GS, could fast-track the genetic improvement of the crop. Tradition safflower breeding program depends on the phenotypic selection of the elite parental lines to initiate the crossing. In our study, we have chosen the top 20% of individuals according to the BLUEs and GEBVs, respectively, and the best gain achieved was 0.7 t/ha, about a 23% yield increase in the optimal site. This indicated the high yield potential for safflower genetic improvement. We expected to find the highest response by PS for within site selection because the selection differential was used to predict selection response in the next-generation. However, the selection responses in PS and GS were very similar, which could be associated with the fact that most of the top 20% of the accessions with the highest phenotypes had the highest GEBVs as well (Supplementary Table S4). Selection for rust resistance in wheat had similar observations that gain from GS was equal to PS when comparing the gain by two cycles of GS and one cycle of PS (Rutkoski et al., 2015). Bernardo (2020) recommended that selection based on breeding ‘lines’ performance (BLUEs) instead of GEBVs would be sufficient enough if the breeding goal is to pyramiding the elite alleles. However, with GS, selection decisions could be made in an early stage, for example, selection for grain yield before harvest. And when the breeding cycle increases, GS would benefit the breeding program significantly by reducing the breeding cycle. Those lines with high yield and high GEBVs in the safflower collection could be selected directly to achieve yield gain. Selection in the stressed environment, especially for drought resistance, has been reported to improve the selection in optimal conditions (Das et al., 2021; Kumar et al., 2021). However, we observed the selection in the RF and LR sites leads to the compromised gain for GY in IR. Although the gains from different strategies were high at the selected sites, the gap between the optimal and stressed environments was significant. The decreased genetic variation in the stress sites could be the reason for the lower selection response for GY in those sites (Xu et al., 2017). Falconer (1952) mentioned that the correlation between environments could impact the selection responses. In other words, g × E could reduce the rate of genetic gain achieved by breeding. The combined g × EGS selection increased gain slightly in RF and LR, indicating that combining g × E into the prediction model could benefit GS selection. Studies combined multi-environment trials in the genomic prediction model showed similar results (Gill et al., 2021; Khanna et al., 2022). In safflower, using suitable GS models for an optimized breeding pipeline, which selects genotypes that suit environments or genotypes with compromised performance but robust in all conditions, is essential.
Selection indices have been used efficiently for multi-trait breeding programs for animals and crops (Smith, 1936; Hazel, 1943). If selections were based mainly on GY, we observed that OL had limited positive gain in the optimal site and negative gains in stressed sites (Supplementary Table S2). The index selection achieved a high gain for OL and GY although the gain for GY was compromised. The loss of the gain for GY could be compensated by high OL, which would bring high economic values for the farmer. A study in Sorghum also indicated that GS with the optimal index selection to improve biofuel traits is the most promising strategy (Habyarimana et al., 2020a). An optimal breeding framework incorporating index selection has been proposed for different crops (Marulanda et al., 2016; Akdemir et al., 2019). As a minor crop, safflower faces similar challenges as other orphan crops, such as limited resources and limited research funds. GS with selection index is the fast way to pyramid elite alleles into the future safflower varieties. The optimal selection index for safflower GY and OL still requires further research. More information, e.g., biotic and abiotic tolerance, early vigour, seed protein content, etc., could be combined into the selection index. Further validation of different selection strategies, which would facilitate the optimization of breeding strategies by simulation, would also be required.
Conclusion
In summary, we estimated the heritability and genetic correlations as well as selection responses to different selection indices for a diverse safflower Genebank collection. We achieved higher genetic prediction accuracy for grain yield by combining the correlated trait into the multivariate model. High selection responses for GY were achieved at the selected sites with both PS and GS, but the gains varied across the sites. Combining the g×E model with the equal weighted selection index GS model could simultaneously improve GY and OL in all studied sites.
Data availability statement
The phenotypic dataset and the genotype dataset supporting the conclusions of this article can be found in the Supplementary files. Further inquiries can be directed to the corresponding author/s. The data can also be found here: https://doi.org/10.1002/tpg2.20064.
Author contributions
HZ, ZL, and MH conceived and designed the experiment. JT and MH performed and supervised the phenotyping, genotyping, and genome assembly; HZ performed the data analysis and wrote the manuscript; ZL and MK assisted with the study and previewed the manuscript; MH supervised the study and secured the funding. All authors revised the manuscript.
Funding
This study was funded by Agriculture Victoria Research, Victoria state government, Australia.
Acknowledgments
The authors thank the Australian Grains Genebank for providing safflower Accession seeds and the Agriculture Victoria field and lab technical staff for collecting the data.
Conflict of interest
Authors HZ, ZL, MK, JT, and MH were employed by Agriculture Victoria.
Publisher’s note
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.
Supplementary material
The Supplementary Material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/fgene.2023.1129433/full#supplementary-material
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Keywords: genomic selection, safflower, multivariate, selection response, grain yield
Citation: Zhao H, Lin Z, Khansefid M, Tibbits JF and Hayden MJ (2023) Genomic prediction and selection response for grain yield in safflower. Front. Genet. 14:1129433. doi: 10.3389/fgene.2023.1129433
Received: 21 December 2022; Accepted: 13 March 2023;
Published: 27 March 2023.
Edited by:
Chengsong Zhu, University of Texas Southwestern Medical Center, United StatesCopyright © 2023 Zhao, Lin, Khansefid, Tibbits and Hayden. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Huanhuan Zhao, huan.zhao@agriculture.vic.gov.au