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Review

Hybrid Prediction in Horticulture Crop Breeding: Progress and Challenges

1
Cucumber Research Institute, Tianjin Academy of Agricultural Sciences, Tianjin 300192, China
2
College of Horticulture, Northwest A&F University, Yangling 712100, China
3
State Key Laboratory of Vegetable Biobreeding, Tianjin 300192, China
*
Authors to whom correspondence should be addressed.
Plants 2024, 13(19), 2790; https://doi.org/10.3390/plants13192790
Submission received: 23 August 2024 / Revised: 25 September 2024 / Accepted: 3 October 2024 / Published: 4 October 2024
(This article belongs to the Special Issue Genomic Selection and Marker-Assisted Breeding in Crops)

Abstract

:
In the context of rapidly increasing population and diversified market demands, the steady improvement of yield and quality in horticultural crops has become an urgent challenge that modern breeding efforts must tackle. Heterosis, a pivotal theoretical foundation for plant breeding, facilitates the creation of superior hybrids through crossbreeding and selection among a variety of parents. However, the vast number of potential hybrids presents a significant challenge for breeders in efficiently predicting and selecting the most promising candidates. The development and refinement of effective hybrid prediction methods have long been central to research in this field. This article systematically reviews the advancements in hybrid prediction for horticultural crops, including the roles of marker-assisted breeding and genomic prediction in phenotypic forecasting. It also underscores the limitations of some predictors, like genetic distance, which do not consistently offer reliable hybrid predictions. Looking ahead, it explores the integration of phenomics with genomic prediction technologies as a means to elevate prediction accuracy within actual breeding programs.

1. Introduction

Heterosis, the biological phenomenon in which hybrids produced through inter-specific or intra-specific hybridization surpass their parental lines in yield, growth vigor, viability, and stress resistance, is foundational to contemporary breeding systems, notably in horticultural crops [1,2]. To explain the phenomenon of heterosis, early breeders proposed three classical models [3]: (1) The dominance model, which suggests that harmful recessive mutations present in a homozygous form in the parents are masked and complemented in the hybrids, thereby manifesting heterosis. However, this model fails to account for the contribution of beneficial recessive alleles to heterosis [4]. (2) The overdominance model, which posits that heterosis arises from the heterozygous state of certain loci, rather than dominance relationships between alleles. Yet, this model cannot explain why modern inbred lines often outperform earlier generations of inbred lines [5]. (3) The epistasis model, which attributes heterosis to interactions between genes, including non-additive effects between loci [6]. With the rapid development of molecular biology, research based on single-gene loci, genome, transcriptome, metabolome, and microbiome has progressively uncovered the underlying mechanisms of heterosis from various perspectives [5]. However, despite these advances, no unified theory has yet been established. Nonetheless, heterosis has become a cornerstone of modern breeding theory and is widely applied in horticultural crop breeding practices [7].
In the practice of hybrid breeding, which involves generating a large number of hybrids and subsequently identifying the most promising candidates through extensive multi-year and multi-location field trials, logistical challenges are inevitable. For example, the diallel crossing method shows that an increase in the number of parent lines leads to an exponential growth in the number of potential hybrids, rendering comprehensive field evaluations at once impractical [8]. Accurate and timely prediction of hybrid performance could thus significantly streamline the selection process, enhancing breeding efficiency and expediting the breeding cycle. To this end, breeders have invested efforts in advancing hybrid prediction techniques in horticultural crops, making significant strides such as employing marker-assisted selection (MAS) for qualitative traits, while also navigating persistent challenges. This article delves into the latest developments in hybrid prediction, exploring both direct and indirect indices, and examines the ongoing challenges and avenues for future improvement, aiming to contribute insights into hybrid prediction research for horticultural crop breeding.

2. Hybrid Prediction Indices: Direct and Indirect

Hybrid performance evaluation indices are divided into two primary types, according to breeding goals: direct and indirect indices. Direct indices concern phenotypic information, including yield [9], viability [10,11], disease resistance [12], and stress resistance [13,14]. Direct indices are primarily used for comparisons among potential hybrids. For example, within a cohort of F1 hybrids, phenotypic data act as the basis for selecting promising hybrids. Depending on the genetic background, direct indices can categorize traits as either qualitative, controlled by single or a few genetic loci, or quantitative, influenced by numerous minor-effect loci. It is important to note that the line between qualitative and quantitative traits is not always clear [15].
Indirect indices, such as heterosis, involve comparing the F1 hybrid against its parents, employing metrics like mid-parent heterosis (MPH) and high-parent heterosis (HPH) (Figure 1), as well as comparisons among hybrids, for example, over-standard heterosis based on a benchmark line. Heterosis indicates the potential of hybrids to surpass their parental lines in yield or disease resistance, making it a vital evaluation index. Although heterosis is a widely acknowledged phenomenon in crop breeding, its underlying mechanisms are highly complex and not fully elucidated. Recent studies suggest that the manifestation of heterosis may be associated with mechanisms of single-parent expression, wherein hybrids activate a broader array of gene expressions compared to their parents, enhancing their adaptability to environmental conditions [16,17]. Further, metabolomic studies have revealed non-additive variations in proteins and metabolites related to photosynthetic and photorespiratory processes in hybrids relative to their parents [18,19], which could also serve as key predictors of heterosis. Interestingly, in plant–microbe interaction systems, the recovery of heterotic traits in hybrids appears to be critically influenced by beneficial microorganisms, including fungal symbiosis and bacterial colonization by auxin producers [20]. These complexity presents significant challenges in predicting heterosis, with diverse patterns emerging across various species and even within the same species for different traits [21,22].

3. Hybrid Prediction through Marker-Assisted Breeding

In horticulture crop breeding, qualitative traits often related to quality, such as the white or green fruit color of immature cucumbers (Cucumis sativus L.) and the purple or white curds of cauliflower (Brassica oleracea var. botrytis), are predominantly determined by a single or limited number of genetic loci [23,24,25,26]. Genetic defects, including male sterility mutations, serve as additional examples of qualitative traits [27,28,29]. Linkage and association analyses are pivotal in mapping these traits’ controlling genetic loci, paving the way for the development of co-dominant molecular markers, like simple sequence repeats (SSRs) and derived cleaved amplified polymorphic sequences (dCAPSs), which are closely linked to these loci. This process underpins MAS, allowing for the early prediction and selection of quality traits in potential hybrids (Figure 2). Moreover, MAS is instrumental in predicting and selecting quantitative traits like fruit yield [30] and disease resistance [31] governed by significant quantitative trait loci (QTL), including those associated with heterosis, such as the SINGLE FLOWER TRUSS (SFT) gene affecting fruit yield in tomatoes (Solanum lycopersicum L.) [9], and the SUN gene and its cucumber homolog CsSUN, which influence fruit shape [32,33]. MAS also addresses loci related to disease and abiotic stress resistance [34,35]. Despite MAS’s critical role in breeding, its capacity to capture and utilize minor QTLs in quantitative traits remains limited [36], highlighting a significant bottleneck in enhancing the predictive accuracy of MAS for these traits.

4. Hybrid Prediction through Genomic Prediction

Quantitative traits such as crop yield are significantly influenced by environmental factors and are typically controlled by a vast number of minor-effect genetic loci [37,38]. Traditional MAS faces challenges in accurately predicting quantitative traits, as the subtle effects of minor QTLs frequently fail to surpass statistical thresholds in QTL scanning, leading to their underutilization [39]. Nevertheless, these minor QTLs play a crucial role in influencing quantitative traits. Genomic prediction, introduced in 2001 and based on genome-wide high-density markers, addresses these challenges effectively [40]. It has since become integral to modern breeding strategies [41,42].
The process of genomic prediction initiates with the formation of a relatively small training population alongside a larger virtual test population. Subsequent steps involve gathering high-density genotypic and phenotypic data from the training population. Using these data, genomic prediction models are then trained to accurately estimate the impact of each genetic marker on the target trait or ascertain the breeding values of the potential hybrids. This methodology enables the precise prediction of the test population’s phenotype, relying on the genotype information as per the established model framework [42,43,44,45] (Figure 2). Typically, the molecular markers’ count (p) vastly outnumbers the hybrids (n) in the training population (p >> n), posing challenges in estimating marker effects or breeding values due to multicollinearity. To overcome this, strategies such as variable selection, coefficient shrinkage, and dimension reduction are implemented during model training to alleviate the issues of multicollinearity [46,47,48,49].
The core formula of genomic prediction models is defined as
y = X β + Zu + ϵ
where y is the phenotype vector for the training population; β and u are vectors representing fixed and random effects, respectively, with u typically signifying marker effects or individual breeding values. The matrices X and Z are designated for fixed and random effects, respectively, where Z often stands for genotype or genetic relationship matrices; ϵ represents the residual vector of the model.
To address model collinearity and precisely estimate u , regularization methods are employed. These methods aim to minimize the sum of squared deviations while adding a penalty term under linear regression, including LASSO and ridge regression [50]. Bayesian techniques set an initial hypothesis for u , calculating the posterior probability of u using prior density and likelihood functions, such as BayesA, BayesB, and Bayesian LASSO [51]. Furthermore, a range of machine learning algorithms has been extensively incorporated into the genomic prediction workflow. Notable examples include random forests, rooted in decision tree theory [52]; support vector regression, based on support vector machine theory [53,54]; and deep learning models, utilizing neural network algorithms [55,56,57].
Despite the considerable potential of genomic prediction models for predicting quantitative traits, several factors can limit their predictive capability: (1) The genetic architecture of target traits: Models tend to perform better if the trait’s genetic architecture is consistent with the model’s assumptions. The control of traits by a small number of high-impact QTLs versus numerous minor-effect QTLs can significantly affect model accuracy [58]. (2) The size and representativeness of the training population: generally, larger and more representative training populations enhance model robustness [59]. (3) Trait heritability: higher heritability indicates a greater proportion of genetic variance relative to phenotypic variance, enabling genomic prediction models to capture more genetic variance for improved predictive capability [60]. (4) The measurement accuracy of phenotypic traits: controlling environmental factors and enhancing the accuracy of phenotypic measurements can reduce residuals and improve model predictive capability. (5) Marker density and linkage disequilibrium (LD): generally, model predictive capability improves with an increase in the number of SNPs, although gains are limited once marker density reaches saturation [61].
Heterosis is a phenomenon that is well acknowledged in plant breeding, leading to F1 offspring often surpassing the parental average in performance [62]. This deviation from the norm cannot be precisely captured by genomic prediction models that solely focus on additive effects. Incorporating predictors that account for non-additive effects, such as dominance and epistasis—referred to as non-additive models—has been shown to significantly enhance prediction accuracy [63]. For example, in a simulated pumpkin (Cucurbita spp.) breeding system, an additive-dominant model that included dominant effects improved predictive accuracy by 70% [64]. Similarly, in maize breeding, the incorporation of dominant effects into the genomic best linear unbiased prediction (GBLUP) model boosted the predictive accuracy by 16% to 26% [65], and in canola (Brassica napus L. subsp. napus) disease resistance breeding, an LMM that accounted for “additive × additive” epistasis increased the predictive power by up to 40% [66]. Additionally, the reproducing kernel Hilbert space (RKHS) model, adept at capturing non-additive effects, has seen wide application in genomic prediction breeding practices [67,68]. While non-additive models offer substantial improvements in predictive capability in certain contexts, they also risk overfitting due to their complex framework [63], highlighting the importance of careful optimization of non-additive effects.
Genome prediction was initially applied to animal breeding [69] and simulated datasets [61,70,71], and it began its gradual integration into plant breeding practices in the early 2010s [72]. Its application has since expanded across various crops including rice (Oryza sativa L.), maize (Zea mays L.), and wheat (Triticum aestivum L.), proving to be highly efficient and reliable for predicting quantitative traits [37,73,74]. In recent years, genome prediction has also found its way into horticultural crop breeding (Table 1). This approach has been implemented in various fruit crops, including apple (Malus × domestica Borkh.) [75,76], grapevine (Vitis vinifera L.) [77], strawberry (Fragaria × ananassa) [78,79], pear (Pyrus bretschneideri Rehd.) [80], cranberry (Vaccinium macrocarpon) [81], and blueberry (Vaccinium corymbosun L.) [82], as well as in several vegetable crops, such as tomato [83,84,85], cucumber [86], pepper (Capsicum spp.) [87], and cauliflower [88]. Additionally, genomic prediction has been utilized in the breeding of ornamental plants [89] and tea crops [90,91]. Although genomic prediction has not yet seen widespread use in horticultural crop breeding, its future application prospects appear very promising. Additionally, for polyploid crops like potatoes (Solanum tuberosum L.), algorithms based on allele dose effect theory have been developed, further advancing the breeding of polyploid crops [92,93]. As the cost of high-throughput sequencing continues to decline, the application of genomic prediction in horticultural crop breeding is set to become increasingly competitive.

5. Heterosis Prediction Based on Genetic Background Differences

Heterosis, which highlights the superior performance of F1 hybrids over their parents, acts as an indirect index for assessing hybrid vigor. Prior to the molecular biology era, crop breeding primarily depended on phenotypic selection, a technique characterized by its extensive history and limited efficiency throughout crop domestication [102]. The essence of heterosis stems from the genetic differences between parents. Initial heterosis prediction methods utilized physiological and biochemical indicators, such as isozymes, for identifying germplasm genetic diversity [103,104], and mitochondrial/chloroplast complementation tests to evaluate parental “affinity” through differences in homogenates [105]. Early genetic markers, including restriction fragment length polymorphism (RFLP), amplified fragment length polymorphism (AFLP), and random amplified polymorphic DNA (RAPD), facilitated the calculation of genetic distances among parents as a means to predict heterosis [106,107]. However, the predictive efficiency and accuracy of these initial approaches were limited due to sparse genetic background information and inconsistent reproducibility [108].
Advancements in sequencing technologies and the availability of crop genomes [109] have led to the development and increased application of genome-wide SSR markers in heterosis prediction studies (Table 2, [110]), attributed to their high density, co-dominance, and reliability. Although SSR-based genetic distance has demonstrated potential in maize breeding [111], its effectiveness appears to be crop-dependent [112,113]. The introduction of next-generation sequencing and SNP array technologies has significantly reduced genotyping costs, facilitating the detection of ultra-high-throughput SNPs. Explorations into SNP-based genetic distances and their correlation with heterosis have yielded variable results across different crops and traits. For instance, significant correlations were observed in wheat [114], moderate associations in pearl millet (Pennisetum glaucum L.) [115], and only weak correlations in upland cotton (Gossypium hirsutum L.) [116]. These outcomes suggest that while SNP markers provide dense information, their association with heterosis requires further investigation to ascertain their predictive value.
In addition, the theoretical framework of combining ability serves as a crucial index for elucidating quantitative genetics and heterosis performance, particularly within single-cross breeding systems. General combining ability (GCA) represents the average performance of a parent when crossed with various lines, highlighting the inbred parents’ performance. In contrast, specific combining ability (SCA) signifies the deviation of a specific hybrid from its parent’s GCA [131]. Combining ability can be derived from diallel or other mating designs [132,133]. Griffing (1956) described that the variance of GCA comprises additive and additive × additive genetic variances, while SCA’s variance includes non-additive genetic variances, such as dominance and epistasis. Recent studies have shown that SCA exhibits stronger correlations with heterosis than GCA [113,118,129], aligning with the hypothesis that heterosis is associated with non-additive genetic effects [134,135].

6. Why Is Genetic Distance Not Always Effective for Heterosis Prediction?

The utilization of genetic distance for predicting heterosis, though once popular [108], aligns with the observation that heterosis stems from genetic diversity between parents [3]. However, its predictive validity has been a subject of debate [136]. Despite the precision offered by high-density SSR/SNP markers in determining genetic distances, their correlation with heterosis prediction efficiency remains ambiguous [124]. Two primary concerns emerge:
(1) Limited Information from Genetic Distance: Classical algorithms like Nei’s, Edwards’, and Rogers’ distance [137] focus solely on marker number and allele frequency. Yet, heterosis is influenced by specific phenotypes governed by numerous QTLs, whose positions and effects vary across the genome, rendering genetic distances insufficient for comprehensive genetic insight (Figure 3, [118,138]. Furthermore, non-additive genetic effects, crucial for heterosis [139], are derived from the hybrids’ deviation from parental lines, which these distances fail to capture adequately.
(2) Complex Mechanisms Underlying Heterosis:The emergence of heterosis encompasses a myriad of intricate processes that extend beyond mere genetic contributions. These include epigenetic modifications such as DNA methylation, histone acetylation, and alterations in small RNA [140]. Moreover, changes in the transcriptome, proteome, and metabolome, which are not directly detectable through genome sequencing, also play significant roles [141]. Consequently, the reliance on genetic distance for heterosis prediction is diminishing in breeding practice, facing the need for more nuanced and multifaceted approaches to address these challenges.
This exploration underscores the necessity for advancements in heterosis prediction methodologies that consider the multifactorial nature of genetic and epigenetic influences, pointing towards a more integrated and comprehensive future in crop breeding research.

7. Challenges and Prospects for Heterosis Prediction in Horticulture Crops

The advancement of heterosis prediction is closely linked to research progress in understanding heterosis mechanisms. Despite significant achievements, several issues guide future research in horticulture crops:
(1) Sexual Reproduction’s Role: For crops like potatoes, predominantly propagated vegetatively, the gene pool’s enrichment through sexual reproduction is limited, posing challenges for heterosis utilization. An innovative strategy proposed by Sanwen Huang’s team for exploiting potato heterosis involves overcoming self-incompatibility in diploid potatoes and employing techniques like recombinant breeding and MAS selection to cultivate sexually reproducing diploid species with strong heterosis [142]. Additionally, severe domestication has led to reduced genetic diversity in some horticultural crops, necessitating the collection of more germplasm resources, including wild relatives, to enhance breeding gene pools’ genetic diversity [143]. Gene editing technologies like CRISPR/Cas9 offer precise target gene editing to generate superior alleles [144].
(2) Quantifying Difficult Phenotypes: In horticulture crop breeding, quality traits are crucial but often challenging to quantify, limiting phenotyping efficiency and accuracy. Trait information can be decomposed or redefined; for example, key chemical components can represent fruit aroma traits [145], and disease incidence can be more accurately reflected by converting traditional disease indexes into disease area ratios [146]. For visual phenotypes, like disease classification, replacing subjective human observation with high-throughput images or spectral information and developing deep learning algorithms can establish efficient phenotype collection systems [147,148].
(3) Complex Mechanisms of Heterosis: Despite systematic studies on the genome, transcriptome, metabolome, and epigenome, heterosis mechanisms remain partially understood [3]. Enhancing the explanatory power of current genomic prediction models requires considering more heterosis-related predictors in multi-omic predictions [73,149,150]. Additionally, environmental factors significantly affect phenotype/heterosis performance, necessitating strict control of environmental variables and conducting multi-year/location field experiments to accurately estimate genotype × environment interactions (G×E) [151,152].
(4) Beyond Heterosis in Breeding: Not all breeding strategies focus solely on heterosis; some aim for an “excellent-excellent combination” to achieve optimal phenotypes. Here, phenotypic selection and the combination of various traits through hybridization are crucial to compensate for parents shortcomings, breeding hybrids with comprehensive performance. Developing multi-trait genomic prediction systems is essential for improving breeding efficiency [153,154].
(5) Enhancing Genetic Diversity in Germplasm Resources: Previous studies have demonstrated that the degree of heterosis in hybrids is associated with the genetic diversity of their parental lines [155]. However, most modern cultivated horticultural crops, such as cucumber, have experienced severe domestication bottlenecks [25], which has significantly reduced their genetic diversity. To enhance the diversity of horticultural crop traits and improve resistance to diseases and environmental stresses in future breeding efforts, it is essential to collect a wider array of landraces, wild relatives, and closely related species. By revealing their genetic backgrounds and domestication histories, these resources can enrich the gene pool available for heterosis prediction, ultimately increasing the effectiveness of hybrid breeding strategies.

Author Contributions

Conceptualization, C.L. and Z.C.; investigation, C.L. and A.W.; writing—original draft preparation, C.L. and H.M.; writing—review and editing, Z.C. and S.D.; supervision, S.D.; project administration, Y.H. and C.L.; funding acquisition, Y.H. and C.L. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the National Key Research and Development Program of China (2023YFD1201503) and the Tianjin Municipal Science and Technology Plan Project: Major Special Project for National Key Laboratories.

Acknowledgments

We would like to thank Husain Ahmad for helping us revise this manuscript.

Conflicts of Interest

The authors declare no conflicts of interest.

Abbreviations

The following abbreviations are used in this manuscript:
MPHmid-parent heterosis
SSRsimple sequence repeat
dCAPSsderived cleaved amplified polymorphic sequences
MASmarker-assisted selection
QTLquantitative trait loci
LASSOleast absolute shrinkage and selection operator
RR-BLUPridge-regression best linear unbiased prediction
GBLUPgenomic best linear unbiased prediction
LDlinkage disequilibrium
LMMmixed linear model
RKHSreproducing kernel Hilbert space
RFLPrestriction fragment length polymorphism
AFLPamplified fragment length polymorphism
RAPDrandom amplified polymorphic DNA
SNPsingle-nucleotide polymorphism
HPHhigh-parent heterosis
G×Egenotype × environment interaction

References

  1. Liu, J.; Li, M.; Zhang, Q.; Wei, X.; Huang, X. Exploring the molecular basis of heterosis for plant breeding. J. Integr. Plant Biol. 2020, 62, 287–298. [Google Scholar] [CrossRef] [PubMed]
  2. Yu, D.; Gu, X.; Zhang, S.; Dong, S.; Miao, H.; Gebretsadik, K.; Bo, K. Molecular basis of heterosis and related breeding strategies reveal its importance in vegetable breeding. Hortic. Res. 2021, 8, 120. [Google Scholar] [CrossRef] [PubMed]
  3. Chen, Z.J. Genomic and epigenetic insights into the molecular bases of heterosis. Nat. Rev. Genet. 2013, 14, 471–482. [Google Scholar] [CrossRef] [PubMed]
  4. Li, G.; Carver, B.F.; Cowger, C.; Bai, G.; Xu, X. Pm223899, A New Recessive Powdery Mildew Resist. Gene Identified Afghan. Landrace PI 223899. Theor. Appl. Genet. 2018, 131, 2775–2783. [Google Scholar] [CrossRef] [PubMed]
  5. Hochholdinger, F.; Yu, P. Molecular concepts to explain heterosis in crops. Trends Plant Sci. 2024, in press. [CrossRef] [PubMed]
  6. Melchinger, A.; Utz, H.; Piepho, H.; Zeng, Z.; Schon, C. The role of epistasis in the manifestation of heterosis: A systems-oriented approach. Genetics 2007, 177, 1815–1825. [Google Scholar] [CrossRef]
  7. Farinati, S.; Scariolo, F.; Palumbo, F.; Vannozzi, A.; Barcaccia, G.; Lucchin, M. Heterosis in horticultural crop breeding: Combining old theoretical bases with modern genomic views. Front. Hortic. 2023, 2, 1250875. [Google Scholar] [CrossRef]
  8. Guo, T.; Yu, X.; Li, X.; Zhang, H.; Zhu, C.; Flint-Garcia, S.; McMullen, M.D.; Holland, J.B.; Szalma, S.J.; Wisser, R.J.; et al. Optimal designs for genomic selection in hybrid crops. Mol. Plant 2019, 12, 390–401. [Google Scholar] [CrossRef]
  9. Krieger, U.; Lippman, Z.B.; Zamir, D. The flowering gene SINGLE FLOWER TRUSS Drives Heterosis Yield Tomato. Nat. Genet. 2010, 42, 459–463. [Google Scholar] [CrossRef]
  10. Yang, M.; Wang, X.; Ren, D.; Huang, H.; Xu, M.; He, G.; Deng, X.W. Genomic architecture of biomass heterosis in Arabidopsis. Proc. Natl. Acad. Sci. USA 2017, 114, 8101–8106. [Google Scholar] [CrossRef]
  11. Birdseye, D.; De Boer, L.A.; Bai, H.; Zhou, P.; Shen, Z.; Schmelz, E.A.; Springer, N.M.; Briggs, S.P. Plant height heterosis is quantitatively associated with expression levels of plastid ribosomal proteins. Proc. Natl. Acad. Sci. USA 2021, 118, e2109332118. [Google Scholar] [CrossRef] [PubMed]
  12. Nyaga, C.; Gowda, M.; Beyene, Y.; Murithi, W.T.; Burgueno, J.; Toledo, F.; Makumbi, D.; Olsen, M.S.; Das, B.; LM, S.; et al. Hybrid breeding for MLN resistance: Heterosis, combining ability, and hybrid prediction. Plants 2020, 9, 468. [Google Scholar] [CrossRef] [PubMed]
  13. Fang, Y.; Xiong, L. General mechanisms of drought response and their application in drought resistance improvement in plants. Cell. Mol. Life Sci. 2015, 72, 673–689. [Google Scholar] [CrossRef] [PubMed]
  14. Yang, Y.; Guo, Y. Unraveling salt stress signaling in plants. J. Integr. Plant Biol. 2018, 60, 796–804. [Google Scholar] [CrossRef] [PubMed]
  15. Serpico, D. Beyond quantitative and qualitative traits: Three telling cases in the life sciences. Biol. Philos. 2020, 35, 34. [Google Scholar] [CrossRef]
  16. Paschold, A.; Jia, Y.; Marcon, C.; Lund, S.; Larson, N.B.; Yeh, C.T.; Ossowski, S.; Lanz, C.; Nettleton, D.; Schnable, P.S.; et al. Complementation contributes to transcriptome complexity in maize (Zea mays L.) hybrids relative to their inbred parents. Genome Res. 2012, 22, 2445–2454. [Google Scholar] [CrossRef]
  17. Li, Z.; Zhou, P.; Della Coletta, R.; Zhang, T.; Brohammer, A.B.; H O’Connor, C.; Vaillancourt, B.; Lipzen, A.; Daum, C.; Barry, K.; et al. Single-parent expression drives dynamic gene expression complementation in maize hybrids. Plant J. 2021, 105, 93–107. [Google Scholar] [CrossRef]
  18. Hoecker, N.; Lamkemeyer, T.; Sarholz, B.; Paschold, A.; Fladerer, C.; Madlung, J.; Wurster, K.; Stahl, M.; Piepho, H.P.; Nordheim, A.; et al. Analysis of nonadditive protein accumulation in young primary roots of a maize (Zea mays L.) F1-hybrid compared to its parental inbred lines. Proteomics 2008, 8, 3882–3894. [Google Scholar] [CrossRef]
  19. Wang, D.; Mu, Y.; Hu, X.; Ma, B.; Wang, Z.; Zhu, L.; Xu, J.; Huang, C.; Pan, Y. Comparative proteomic analysis reveals that the Heterosis of two maize hybrids is related to enhancement of stress response and photosynthesis respectively. BMC Plant Biol. 2021, 21, 34. [Google Scholar] [CrossRef]
  20. Picard, C.; Bosco, M. Maize heterosis affects the structure and dynamics of indigenous rhizospheric auxins-producing Pseudomonas populations. FEMS Microbiol. Ecol. 2005, 53, 349–357. [Google Scholar] [CrossRef]
  21. Hale, A.L.; Farnham, M.W.; Nzaramba, M.N.; Kimbeng, C.A. Heterosis for horticultural traits in broccoli. Theor. Appl. Genet. 2007, 115, 351–360. [Google Scholar] [CrossRef] [PubMed]
  22. Groszmann, M.; Gonzalez-Bayon, R.; Greaves, I.K.; Wang, L.; Huen, A.K.; Peacock, W.J.; Dennis, E.S. Intraspecific Arabidopsis hybrids show different patterns of heterosis despite the close relatedness of the parental genomes. Plant Physiol. 2014, 166, 265–280. [Google Scholar] [CrossRef] [PubMed]
  23. Liu, H.; Meng, H.; Pan, Y.; Liang, X.; Jiao, J.; Li, Y.; Chen, S.; Cheng, Z. Fine genetic mapping of the white immature fruit color gene w to a 33.0-kb region in cucumber (Cucumis sativus L.). Theor. Appl. Genet. 2015, 128, 2375–2385. [Google Scholar] [CrossRef] [PubMed]
  24. Zhao, G.; Lian, Q.; Zhang, Z.; Fu, Q.; He, Y.; Ma, S.; Ruggieri, V.; Monforte, A.J.; Wang, P.; Julca, I.; et al. A comprehensive genome variation map of melon identifies multiple domestication events and loci influencing agronomic traits. Nat. Genet. 2019, 51, 1607–1615. [Google Scholar] [CrossRef]
  25. Qi, J.; Liu, X.; Shen, D.; Miao, H.; Xie, B.; Li, X.; Zeng, P.; Wang, S.; Shang, Y.; Gu, X.; et al. A genomic variation map provides insights into the genetic basis of cucumber domestication and diversity. Nat. Genet. 2013, 45, 1510–1515. [Google Scholar] [CrossRef]
  26. Singh, S.; Kalia, P.; Meena, R.K.; Mangal, M.; Islam, S.; Saha, S.; Tomar, B.S. Genetics and expression analysis of anthocyanin accumulation in curd portion of Sicilian purple to facilitate biofortification of Indian cauliflower. Front. Plant Sci. 2020, 10, 1766. [Google Scholar] [CrossRef]
  27. Han, Y.; Zhao, F.; Gao, S.; Wang, X.; Wei, A.; Chen, Z.; Liu, N.; Tong, X.; Fu, X.; Wen, C.; et al. Fine mapping of a male sterility gene Ms-3 in a novel cucumber (Cucumis sativus L.) mutant. Theor. Appl. Genet. 2018, 131, 449–460. [Google Scholar] [CrossRef]
  28. Chen, L.; Liu, Y.G. Male sterility and fertility restoration in crops. Annu. Rev. Plant Biol. 2014, 65, 579–606. [Google Scholar] [CrossRef]
  29. Chang, Z.; Chen, Z.; Wang, N.; Xie, G.; Lu, J.; Yan, W.; Zhou, J.; Tang, X.; Deng, X.W. Construction of a male sterility system for hybrid rice breeding and seed production using a nuclear male sterility gene. Proc. Natl. Acad. Sci. USA 2016, 113, 14145–14150. [Google Scholar] [CrossRef]
  30. Cockerton, H.M.; Karlström, A.; Johnson, A.W.; Li, B.; Stavridou, E.; Hopson, K.J.; Whitehouse, A.B.; Harrison, R.J. Genomic informed breeding strategies for strawberry yield and fruit quality traits. Front. Plant Sci. 2021, 12, 724847. [Google Scholar] [CrossRef]
  31. Shi, A.; Bhattarai, G.; Xiong, H.; Avila, C.A.; Feng, C.; Liu, B.; Joshi, V.; Stein, L.; Mou, B.; du Toit, L.J.; et al. Genome-wide association study and genomic prediction of white rust resistance in USDA GRIN spinach germplasm. Hortic. Res. 2022, 9, uhac069. [Google Scholar] [CrossRef] [PubMed]
  32. Jiang, N.; Gao, D.; Xiao, H.; Van Der Knaap, E. Genome organization of the tomato sun locus and characterization of the unusual retrotransposon Rider. Plant J. 2009, 60, 181–193. [Google Scholar] [CrossRef]
  33. Pan, Y.; Liang, X.; Gao, M.; Liu, H.; Meng, H.; Weng, Y.; Cheng, Z. Round fruit shape in WI7239 cucumber is controlled by two interacting quantitative trait loci with one putatively encoding a tomato SUN homolog. Theor. Appl. Genet. 2017, 130, 573–586. [Google Scholar] [CrossRef] [PubMed]
  34. Laila, R.; Park, J.I.; Robin, A.H.K.; Natarajan, S.; Vijayakumar, H.; Shirasawa, K.; Isobe, S.; Kim, H.T.; Nou, I.S. Mapping of a novel clubroot resistance QTL using ddRAD-seq in Chinese cabbage (Brassica rapa L.). BMC Plant Biol. 2019, 19, 13. [Google Scholar] [CrossRef] [PubMed]
  35. Paliwal, R.; Singh, G.; Mir, R.R.; Gueye, B. Genomic-assisted breeding for abiotic stress tolerance in horticultural crops. In Stress Tolerance in Horticultural Crops; Elsevier: Amsterdam, The Netherlands, 2021; pp. 91–118. [Google Scholar]
  36. Gupta, P.; Kumar, J.; Mir, R.; Kumar, A. 4 Marker-assisted selection as a component of conventional plant breeding. Plant Breed. Rev. 2010, 33, 145–217. [Google Scholar]
  37. Gupta, P.K.; Balyan, H.S.; Gahlaut, V.; Saripalli, G.; Pal, B.; Basnet, B.R.; Joshi, A.K. Hybrid wheat: Past, present and future. Theor. Appl. Genet. 2019, 132, 2463–2483. [Google Scholar] [CrossRef]
  38. Fernández, J.A.; Messina, C.D.; Salinas, A.; Prasad, P.V.; Nippert, J.B.; Ciampitti, I.A. Kernel weight contribution to yield genetic gain of maize: A global review and US case studies. J. Exp. Bot. 2022, 73, 3597–3609. [Google Scholar] [CrossRef]
  39. Fu, D.; Mason, A.S.; Xiao, M.; Yan, H. Effects of genome structure variation, homeologous genes and repetitive DNA on polyploid crop research in the age of genomics. Plant Sci. 2016, 242, 37–46. [Google Scholar] [CrossRef]
  40. Meuwissen, T.H.; Hayes, B.J.; Goddard, M. Prediction of total genetic value using genome-wide dense marker maps. Genetics 2001, 157, 1819–1829. [Google Scholar] [CrossRef]
  41. Xu, Y.; Ma, K.; Zhao, Y.; Wang, X.; Zhou, K.; Yu, G.; Li, C.; Li, P.; Yang, Z.; Xu, C.; et al. Genomic selection: A breakthrough technology in rice breeding. Crop J. 2021, 9, 669–677. [Google Scholar] [CrossRef]
  42. Voss-Fels, K.P.; Cooper, M.; Hayes, B.J. Accelerating crop genetic gains with genomic selection. Theor. Appl. Genet. 2019, 132, 669–686. [Google Scholar] [CrossRef] [PubMed]
  43. Crossa, J.; Pérez-Rodríguez, P.; Cuevas, J.; Montesinos-López, O.; Jarquín, D.; De Los Campos, G.; Burgueño, J.; González-Camacho, J.M.; Pérez-Elizalde, S.; Beyene, Y.; et al. Genomic selection in plant breeding: Methods, models, and perspectives. Trends Plant Sci. 2017, 22, 961–975. [Google Scholar] [CrossRef] [PubMed]
  44. Heffner, E.L.; Sorrells, M.E.; Jannink, J.L. Genomic selection for crop improvement. Crop Sci. 2009, 49, 1–12. [Google Scholar] [CrossRef]
  45. Zhao, Y.; Mette, M.F.; Reif, J.C. Genomic selection in hybrid breeding. Plant Breed. 2015, 134, 1–10. [Google Scholar] [CrossRef]
  46. Dadousis, C.; Veerkamp, R.F.; Heringstad, B.; Pszczola, M.; Calus, M.P. A comparison of principal component regression and genomic REML for genomic prediction across populations. Genet. Sel. Evol. 2014, 46, 60. [Google Scholar] [CrossRef] [PubMed]
  47. Chun, H.; Keleş, S. Sparse partial least squares regression for simultaneous dimension reduction and variable selection. J. R. Stat. Soc. Ser. B Stat. Methodol. 2010, 72, 3–25. [Google Scholar] [CrossRef]
  48. Heslot, N.; Yang, H.P.; Sorrells, M.E.; Jannink, J.L. Genomic selection in plant breeding: A comparison of models. Crop Sci. 2012, 52, 146–160. [Google Scholar] [CrossRef]
  49. Lorenz, A.J.; Chao, S.; Asoro, F.G.; Heffner, E.L.; Hayashi, T.; Iwata, H.; Smith, K.P.; Sorrells, M.E.; Jannink, J.L. Genomic selection in plant breeding: Knowledge and prospects. Adv. Agron. 2011, 110, 77–123. [Google Scholar]
  50. Ogutu, J.O.; Schulz-Streeck, T.; Piepho, H.P. Genomic selection using regularized linear regression models: Ridge regression, lasso, elastic net and their extensions. BMC Proc. 2012, 6, S10. [Google Scholar] [CrossRef]
  51. Pérez, P.; de Los Campos, G. Genome-wide regression and prediction with the BGLR statistical package. Genetics 2014, 198, 483–495. [Google Scholar] [CrossRef]
  52. Arouisse, B.; Theeuwen, T.P.; Van Eeuwijk, F.A.; Kruijer, W. Improving genomic prediction using high-dimensional secondary phenotypes. Front. Genet. 2021, 12, 667358. [Google Scholar] [CrossRef] [PubMed]
  53. Moser, G.; Tier, B.; Crump, R.E.; Khatkar, M.S.; Raadsma, H.W. A comparison of five methods to predict genomic breeding values of dairy bulls from genome-wide SNP markers. Genet. Sel. Evol. 2009, 41, 56. [Google Scholar] [CrossRef] [PubMed]
  54. Merrick, L.F.; Lozada, D.N.; Chen, X.; Carter, A.H. Classification and regression models for genomic selection of skewed phenotypes: A case for disease resistance in winter wheat (Triticum aestivum L.). Front. Genet. 2022, 13, 835781. [Google Scholar] [CrossRef] [PubMed]
  55. Ma, W.; Qiu, Z.; Song, J.; Li, J.; Cheng, Q.; Zhai, J.; Ma, C. A deep convolutional neural network approach for predicting phenotypes from genotypes. Planta 2018, 248, 1307–1318. [Google Scholar] [CrossRef] [PubMed]
  56. Maldonado, C.; Mora-Poblete, F.; Contreras-Soto, R.I.; Ahmar, S.; Chen, J.T.; do Amaral Júnior, A.T.; Scapim, C.A. Genome-wide prediction of complex traits in two outcrossing plant species through Deep Learning and Bayesian Regularized Neural Network. Front. Plant Sci. 2020, 11, 593897. [Google Scholar] [CrossRef]
  57. Montesinos-López, O.A.; Montesinos-López, A.; Pérez-Rodríguez, P.; Barrón-López, J.A.; Martini, J.W.; Fajardo-Flores, S.B.; Gaytan-Lugo, L.S.; Santana-Mancilla, P.C.; Crossa, J. A review of deep learning applications for genomic selection. BMC Genom. 2021, 22, 19. [Google Scholar] [CrossRef]
  58. Meher, P.K.; Rustgi, S.; Kumar, A. Performance of Bayesian and BLUP alphabets for genomic prediction: Analysis, comparison and results. Heredity 2022, 128, 519–530. [Google Scholar] [CrossRef]
  59. Cericola, F.; Jahoor, A.; Orabi, J.; Andersen, J.R.; Janss, L.L.; Jensen, J. Optimizing training population size and genotyping strategy for genomic prediction using association study results and pedigree information. A case of study in advanced wheat breeding lines. PLoS ONE 2017, 12, e0169606. [Google Scholar] [CrossRef]
  60. Xu, Y.; Wang, X.; Ding, X.; Zheng, X.; Yang, Z.; Xu, C.; Hu, Z. Genomic selection of agronomic traits in hybrid rice using an NCII population. Rice 2018, 11, 32. [Google Scholar] [CrossRef]
  61. Zhong, S.; Dekkers, J.C.; Fernando, R.L.; Jannink, J.L. Factors affecting accuracy from genomic selection in populations derived from multiple inbred lines: A barley case study. Genetics 2009, 182, 355–364. [Google Scholar] [CrossRef]
  62. Hochholdinger, F.; Baldauf, J.A. Heterosis in plants. Curr. Biol. 2018, 28, R1089–R1092. [Google Scholar] [CrossRef] [PubMed]
  63. Alves, F.C.; Granato, Í.S.C.; Galli, G.; Lyra, D.H.; Fritsche-Neto, R.; de Los Campos, G. Bayesian analysis and prediction of hybrid performance. Plant Methods 2019, 15, 14. [Google Scholar] [CrossRef] [PubMed]
  64. Wu, P.Y.; Tung, C.W.; Lee, C.Y.; Liao, C.T. Genomic prediction of pumpkin hybrid performance. Plant Genome 2019, 12, 180082. [Google Scholar] [CrossRef] [PubMed]
  65. Dias, K.O.D.G.; Gezan, S.A.; Guimarães, C.T.; Nazarian, A.; da Costa e Silva, L.; Parentoni, S.N.; de Oliveira Guimarães, P.E.; de Oliveira Anoni, C.; Pádua, J.M.V.; de Oliveira Pinto, M.; et al. Improving accuracies of genomic predictions for drought tolerance in maize by joint modeling of additive and dominance effects in multi-environment trials. Heredity 2018, 121, 24–37. [Google Scholar] [CrossRef]
  66. Derbyshire, M.C.; Khentry, Y.; Severn-Ellis, A.; Mwape, V.; Saad, N.S.M.; Newman, T.E.; Taiwo, A.; Regmi, R.; Buchwaldt, L.; Denton-Giles, M.; et al. Modeling first order additive × additive epistasis improves accuracy of genomic prediction for sclerotinia stem rot resistance in canola. Plant Genome 2021, 14, e20088. [Google Scholar] [CrossRef]
  67. Haile, J.K.; N’Diaye, A.; Clarke, F.; Clarke, J.; Knox, R.; Rutkoski, J.; Bassi, F.M.; Pozniak, C.J. Genomic selection for grain yield and quality traits in durum wheat. Mol. Breed. 2018, 38, 75. [Google Scholar] [CrossRef]
  68. Liu, X.; Wang, H.; Wang, H.; Guo, Z.; Xu, X.; Liu, J.; Wang, S.; Li, W.X.; Zou, C.; Prasanna, B.M.; et al. Factors affecting genomic selection revealed by empirical evidence in maize. Crop J. 2018, 6, 341–352. [Google Scholar] [CrossRef]
  69. Meuwissen, T.; Hayes, B.; Goddard, M. Genomic selection: A paradigm shift in animal breeding. Anim. Front. 2016, 6, 6–14. [Google Scholar] [CrossRef]
  70. Solberg, T.; Sonesson, A.; Woolliams, J.; Meuwissen, T. Genomic selection using different marker types and densities. J. Anim. Sci. 2008, 86, 2447–2454. [Google Scholar] [CrossRef]
  71. VanRaden, P.M. Efficient methods to compute genomic predictions. J. Dairy Sci. 2008, 91, 4414–4423. [Google Scholar] [CrossRef]
  72. Hickey, J.M.; Chiurugwi, T.; Mackay, I.; Powell, W. Genomic prediction unifies animal and plant breeding programs to form platforms for biological discovery. Nat. Genet. 2017, 49, 1297–1303. [Google Scholar] [CrossRef] [PubMed]
  73. Riedelsheimer, C.; Czedik-Eysenberg, A.; Grieder, C.; Lisec, J.; Technow, F.; Sulpice, R.; Altmann, T.; Stitt, M.; Willmitzer, L.; Melchinger, A.E. Genomic and metabolic prediction of complex heterotic traits in hybrid maize. Nat. Genet. 2012, 44, 217–220. [Google Scholar] [CrossRef] [PubMed]
  74. Xu, S.; Zhu, D.; Zhang, Q. Predicting hybrid performance in rice using genomic best linear unbiased prediction. Proc. Natl. Acad. Sci. USA 2014, 111, 12456–12461. [Google Scholar] [CrossRef] [PubMed]
  75. Muranty, H.; Troggio, M.; Sadok, I.B.; Rifaï, M.A.; Auwerkerken, A.; Banchi, E.; Velasco, R.; Stevanato, P.; Van De Weg, W.E.; Di Guardo, M.; et al. Accuracy and responses of genomic selection on key traits in apple breeding. Hortic. Res. 2015, 2, 75. [Google Scholar] [CrossRef]
  76. Roth, M.; Muranty, H.; Di Guardo, M.; Guerra, W.; Patocchi, A.; Costa, F. Genomic prediction of fruit texture and training population optimization towards the application of genomic selection in apple. Hortic. Res. 2020, 7, 148. [Google Scholar] [CrossRef]
  77. Brault, C.; Segura, V.; This, P.; Le Cunff, L.; Flutre, T.; François, P.; Pons, T.; Péros, J.P.; Doligez, A. Across-population genomic prediction in grapevine opens up promising prospects for breeding. Hortic. Res. 2022, 9, uhac041. [Google Scholar] [CrossRef]
  78. Gezan, S.A.; Osorio, L.F.; Verma, S.; Whitaker, V.M. An experimental validation of genomic selection in octoploid strawberry. Hortic. Res. 2017, 4, 16070. [Google Scholar] [CrossRef]
  79. Petrasch, S.; Mesquida-Pesci, S.D.; Pincot, D.D.; Feldmann, M.J.; López, C.M.; Famula, R.; Hardigan, M.A.; Cole, G.S.; Knapp, S.J.; Blanco-Ulate, B. Genomic prediction of strawberry resistance to postharvest fruit decay caused by the fungal pathogen Botrytis cinerea. G3 2022, 12, jkab378. [Google Scholar] [CrossRef]
  80. Sun, M.; Zhang, M.; Kumar, S.; Qin, M.; Liu, Y.; Wang, R.; Qi, K.; Zhang, S.; Chang, W.; Li, J.; et al. Genomic selection of eight fruit traits in pear. Hortic. Plant J. 2024, 10, 318–326. [Google Scholar] [CrossRef]
  81. Covarrubias-Pazaran, G.; Schlautman, B.; Diaz-Garcia, L.; Grygleski, E.; Polashock, J.; Johnson-Cicalese, J.; Vorsa, N.; Iorizzo, M.; Zalapa, J. Multivariate GBLUP improves accuracy of genomic selection for yield and fruit weight in biparental populations of Vaccinium macrocarpon Ait. Front. Plant Sci. 2018, 9, 1310. [Google Scholar] [CrossRef]
  82. Adunola, P.; Ferrão, L.F.V.; Benevenuto, J.; Azevedo, C.F.; Munoz, P.R. Genomic selection optimization in blueberry: Data-driven methods for marker and training population design. Plant Genome 2024, 17, e20488. [Google Scholar] [CrossRef] [PubMed]
  83. Duangjit, J.; Causse, M.; Sauvage, C. Efficiency of genomic selection for tomato fruit quality. Mol. Breed. 2016, 36, 29. [Google Scholar] [CrossRef]
  84. Cappetta, E.; Andolfo, G.; Guadagno, A.; Di Matteo, A.; Barone, A.; Frusciante, L.; Ercolano, M.R. Tomato genomic prediction for good performance under high-temperature and identification of loci involved in thermotolerance response. Hortic. Res. 2021, 8, 212. [Google Scholar] [CrossRef] [PubMed]
  85. Yeon, J.; Nguyen, T.T.P.; Kim, M.; Sim, S.C. Prediction accuracy of genomic estimated breeding values for fruit traits in cultivated tomato (Solanum lycopersicum L.). BMC Plant Biol. 2024, 24, 222. [Google Scholar] [CrossRef] [PubMed]
  86. Liu, C.; Liu, X.; Han, Y.; Wang, X.; Ding, Y.; Meng, H.; Cheng, Z. Genomic prediction and the practical breeding of 12 quantitative-inherited traits in cucumber (Cucumis sativus L.). Front. Plant Sci. 2021, 12, 729328. [Google Scholar] [CrossRef]
  87. Hong, J.P.; Ro, N.; Lee, H.Y.; Kim, G.W.; Kwon, J.K.; Yamamoto, E.; Kang, B.C. Genomic selection for prediction of fruit-related traits in pepper (Capsicum spp.). Front. Plant Sci. 2020, 11, 570871. [Google Scholar] [CrossRef]
  88. Thorwarth, P.; Yousef, E.A.; Schmid, K.J. Genomic prediction and association mapping of curd-related traits in gene bank accessions of cauliflower. G3 Genes Genomes Genet. 2018, 8, 707–718. [Google Scholar] [CrossRef]
  89. Zhang, X.; Su, J.; Jia, F.; He, Y.; Liao, Y.; Wang, Z.; Jiang, J.; Guan, Z.; Fang, W.; Chen, F.; et al. Genetic architecture and genomic prediction of plant height-related traits in chrysanthemum. Hortic. Res. 2024, 11, uhad236. [Google Scholar] [CrossRef]
  90. Lubanga, N.; Massawe, F.; Mayes, S.; Gorjanc, G.; Bančič, J. Genomic selection strategies to increase genetic gain in tea breeding programs. Plant Genome 2023, 16, e20282. [Google Scholar] [CrossRef]
  91. Lubanga, N.; Massawe, F.; Mayes, S. Genomic and pedigree-based predictive ability for quality traits in tea (Camellia sinensis (L.) O. Kuntze). Euphytica 2021, 217, 32. [Google Scholar] [CrossRef]
  92. Endelman, J.B.; Carley, C.A.S.; Bethke, P.C.; Coombs, J.J.; Clough, M.E.; da Silva, W.L.; De Jong, W.S.; Douches, D.S.; Frederick, C.M.; Haynes, K.G.; et al. Genetic variance partitioning and genome-wide prediction with allele dosage information in autotetraploid potato. Genetics 2018, 209, 77–87. [Google Scholar] [CrossRef] [PubMed]
  93. Amadeu, R.R.; Ferrão, L.F.V.; Oliveira, I.d.B.; Benevenuto, J.; Endelman, J.B.; Munoz, P.R. Impact of dominance effects on autotetraploid genomic prediction. Crop Sci. 2020, 60, 656–665. [Google Scholar] [CrossRef]
  94. Tayeh, N.; Klein, A.; Le Paslier, M.C.; Jacquin, F.; Houtin, H.; Rond, C.; Chabert-Martinello, M.; Magnin-Robert, J.B.; Marget, P.; Aubert, G.; et al. Genomic prediction in pea: Effect of marker density and training population size and composition on prediction accuracy. Front. Plant Sci. 2015, 6, 941. [Google Scholar] [CrossRef] [PubMed]
  95. Biscarini, F.; Nazzicari, N.; Bink, M.; Arús, P.; Aranzana, M.J.; Verde, I.; Micali, S.; Pascal, T.; Quilot-Turion, B.; Lambert, P.; et al. Genome-enabled predictions for fruit weight and quality from repeated records in European peach progenies. BMC Genom. 2017, 18, 432. [Google Scholar] [CrossRef] [PubMed]
  96. Werner, C.R.; Voss-Fels, K.P.; Miller, C.N.; Qian, W.; Hua, W.; Guan, C.Y.; Snowdon, R.J.; Qian, L. Effective genomic selection in a narrow-genepool crop with low-density markers: Asian rapeseed as an example. Plant Genome 2018, 11, 170084. [Google Scholar] [CrossRef]
  97. Stewart-Brown, B.B.; Song, Q.; Vaughn, J.N.; Li, Z. Genomic selection for yield and seed composition traits within an applied soybean breeding program. G3 Genes Genomes Genet. 2019, 9, 2253–2265. [Google Scholar] [CrossRef]
  98. Torres, L.G.; Vilela de Resende, M.D.; Azevedo, C.F.; Fonseca e Silva, F.; de Oliveira, E.J. Genomic selection for productive traits in biparental cassava breeding populations. PLoS ONE 2019, 14, e0220245. [Google Scholar] [CrossRef]
  99. Hayes, B.J.; Wei, X.; Joyce, P.; Atkin, F.; Deomano, E.; Yue, J.; Nguyen, L.; Ross, E.M.; Cavallaro, T.; Aitken, K.S.; et al. Accuracy of genomic prediction of complex traits in sugarcane. Theor. Appl. Genet. 2021, 134, 1455–1462. [Google Scholar] [CrossRef]
  100. Ravelombola, W.; Shi, A.; Huynh, B.L. Loci discovery, network-guided approach, and genomic prediction for drought tolerance index in a multi-parent advanced generation intercross (MAGIC) cowpea population. Hortic. Res. 2021, 8, 24. [Google Scholar] [CrossRef]
  101. Roy, J.; del Río Mendoza, L.E.; Bandillo, N.; McClean, P.E.; Rahman, M. Genetic mapping and genomic prediction of sclerotinia stem rot resistance to rapeseed/canola (Brassica napus L.) at seedling stage. Theor. Appl. Genet. 2022, 135, 2167–2184. [Google Scholar] [CrossRef]
  102. Diamond, J. Evolution, consequences and future of plant and animal domestication. Nature 2002, 418, 700–707. [Google Scholar] [CrossRef] [PubMed]
  103. Moran, G. Patterns of genetic diversity in Australian tree species. New For. 1992, 6, 49–66. [Google Scholar] [CrossRef]
  104. Chan, K.; Sun, M. Genetic diversity and relationships detected by isozyme and RAPD analysis of crop and wild species of Amaranthus. Theor. Appl. Genet. 1997, 95, 865–873. [Google Scholar] [CrossRef]
  105. Sen, D. An evaluation of mitochondrial heterosis and in vitro mitochondrial complementation in wheat, barley and maize. Theor. Appl. Genet. 1981, 59, 153–160. [Google Scholar] [CrossRef] [PubMed]
  106. Idrees, M.; Irshad, M. Molecular markers in plants for analysis of genetic diversity: A review. Eur. Acad. Res. 2014, 2, 1513–1540. [Google Scholar]
  107. Xiao, J.; Li, J.; Yuan, L.; McCouch, S.; Tanksley, S. Genetic diversity and its relationship to hybrid performance and heterosis in rice as revealed by PCR-based markers. Theor. Appl. Genet. 1996, 92, 637–643. [Google Scholar] [CrossRef]
  108. Rajendrakumar, P.; Hariprasanna, K.; Seetharama, N. Prediction of heterosis in crop plants–status and prospects. Am. J. Exp. Agric. 2015, 9, 1–16. [Google Scholar] [CrossRef]
  109. Huang, X.; Huang, S.; Han, B.; Li, J. The integrated genomics of crop domestication and breeding. Cell 2022, 185, 2828–2839. [Google Scholar] [CrossRef]
  110. Kalia, R.K.; Rai, M.K.; Kalia, S.; Singh, R.; Dhawan, A. Microsatellite markers: An overview of the recent progress in plants. Euphytica 2011, 177, 309–334. [Google Scholar] [CrossRef]
  111. Reif, J.; Melchinger, A.; Xia, X.; Warburton, M.; Hoisington, D.; Vasal, S.; Srinivasan, G.; Bohn, M.; Frisch, M. Genetic distance based on simple sequence repeats and heterosis in tropical maize populations. Crop Sci. 2003, 43, 1275–1282. [Google Scholar] [CrossRef]
  112. Dreisigacker, S.; Melchinger, A.; Zhang, P.; Ammar, K.; Flachenecker, C.; Hoisington, D.; Warburton, M. Hybrid performance and heterosis in spring bread wheat, and their relations to SSR-based genetic distances and coefficients of parentage. Euphytica 2005, 144, 51–59. [Google Scholar] [CrossRef]
  113. Tian, H.Y.; Channa, S.A.; Hu, S.W. Relationships between genetic distance, combining ability and heterosis in rapeseed (Brassica napus L.). Euphytica 2017, 213, 1. [Google Scholar] [CrossRef]
  114. Nie, Y.; Ji, W.; Ma, S. Assessment of heterosis based on genetic distance estimated using SNP in common wheat. Agronomy 2019, 9, 66. [Google Scholar] [CrossRef]
  115. Singh, S.; Gupta, S.; Thudi, M.; Das, R.R.; Vemula, A.; Garg, V.; Varshney, R.; Rathore, A.; Pahuja, S.; Yadav, D.V. Genetic diversity patterns and heterosis prediction based on SSRs and SNPs in hybrid parents of pearl millet. Crop Sci. 2018, 58, 2379–2390. [Google Scholar] [CrossRef]
  116. Geng, X.; Qu, Y.; Jia, Y.; He, S.; Pan, Z.; Wang, L.; Du, X. Assessment of heterosis based on parental genetic distance estimated with SSR and SNP markers in upland cotton (Gossypium hirsutum L.). BMC Genom. 2021, 22, 123. [Google Scholar] [CrossRef]
  117. Yue, L.; Zhang, S.; Zhang, L.; Liu, Y.; Cheng, F.; Li, G.; Zhang, S.; Zhang, H.; Sun, R.; Li, F. Heterotic prediction of hybrid performance based on genome-wide SNP markers and the phenotype of parental inbred lines in heading Chinese cabbage (Brassica rapa L. ssp. pekinensis). Sci. Hortic. 2022, 296, 110907. [Google Scholar] [CrossRef]
  118. Liu, C.; Liu, X.; Han, Y.; Meng, H.; Cheng, Z. Heterosis prediction system based on non-additive genomic prediction models in cucumber (Cucumis sativus L.). Sci. Hortic. 2022, 293, 110677. [Google Scholar] [CrossRef]
  119. José, M.A.; Iban, E.; Silvia, A.; Pere, A. Inheritance mode of fruit traits in melon: Heterosis for fruit shape and its correlation with genetic distance. Euphytica 2005, 144, 31–38. [Google Scholar] [CrossRef]
  120. Geleta, L.; Labuschagne, M.; Viljoen, C. Relationship between heterosis and genetic distance based on morphological traits and AFLP markers in pepper. Plant Breed. 2004, 123, 467–473. [Google Scholar] [CrossRef]
  121. Kaushik, P.; Plazas, M.; Prohens, J.; Vilanova, S.; Gramazio, P. Diallel genetic analysis for multiple traits in eggplant and assessment of genetic distances for predicting hybrids performance. PLoS ONE 2018, 13, e0199943. [Google Scholar] [CrossRef]
  122. Espósito, M.A.; Bermejo, C.; Gatti, I.; Guindón, M.F.; Cravero, V.; Cointry, E.L. Prediction of heterotic crosses for yield in Pisum sativum L. Sci. Hortic. 2014, 177, 53–62. [Google Scholar] [CrossRef]
  123. Jagosz, B. The relationship between heterosis and genetic distances based on RAPD and AFLP markers in carrot. Plant Breed. 2011, 130, 574–579. [Google Scholar] [CrossRef]
  124. Luo, X.; Ma, C.; Yi, B.; Tu, J.; Shen, J.; Fu, T. Genetic distance revealed by genomic single nucleotide polymorphisms and their relationships with harvest index heterotic traits in rapeseed (Brassica napus L.). Euphytica 2016, 209, 41–47. [Google Scholar] [CrossRef]
  125. Betrán, F.; Ribaut, J.; Beck, D.; De León, D.G. Genetic diversity, specific combining ability, and heterosis in tropical maize under stress and nonstress environments. Crop Sci. 2003, 43, 797–806. [Google Scholar] [CrossRef]
  126. Ndhlela, T.; Herselman, L.; Semagn, K.; Magorokosho, C.; Mutimaamba, C.; Labuschagne, M.T. Relationships between heterosis, genetic distances and specific combining ability among CIMMYT and Zimbabwe developed maize inbred lines under stress and optimal conditions. Euphytica 2015, 204, 635–647. [Google Scholar] [CrossRef]
  127. Krystkowiak, K.; Adamski, T.; Surma, M.; Kaczmarek, Z. Relationship between phenotypic and genetic diversity of parental genotypes and the specific combining ability and heterosis effects in wheat (Triticum aestivum L.). Euphytica 2009, 165, 419–434. [Google Scholar] [CrossRef]
  128. Xie, F.; He, Z.; Esguerra, M.Q.; Qiu, F.; Ramanathan, V. Determination of heterotic groups for tropical Indica hybrid rice germplasm. Theor. Appl. Genet. 2014, 127, 407–417. [Google Scholar] [CrossRef]
  129. Gramaje, L.V.; Caguiat, J.D.; Enriquez, J.O.S.; dela Cruz, Q.D.; Millas, R.A.; Carampatana, J.E.; Tabanao, D.A.A. Heterosis and combining ability analysis in CMS hybrid rice. Euphytica 2020, 216, 1–22. [Google Scholar] [CrossRef]
  130. Dermail, A.; Suriharn, B.; Chankaew, S.; Sanitchon, J.; Lertrat, K. Hybrid prediction based on SSR-genetic distance, heterosis and combining ability on agronomic traits and yields in sweet and waxy corn. Sci. Hortic. 2020, 259, 108817. [Google Scholar] [CrossRef]
  131. Lv, A.Z.; Zhang, H.; Zhang, Z.X.; Tao, Y.S.; Bing, Y.; Zheng, Y.L. Conversion of the statistical combining ability into a genetic concept. J. Integr. Agric. 2012, 11, 43–52. [Google Scholar] [CrossRef]
  132. Griffing, B. Concept of general and specific combining ability in relation to diallel crossing systems. Aust. J. Biol. Sci. 1956, 9, 463–493. [Google Scholar] [CrossRef]
  133. Comstock, R.E.; Robinson, H.; Harvey, P.H. A breeding procedure designed to make maximum use of both general and specific combining ability. Agron. J. 1949, 41, 360–367. [Google Scholar] [CrossRef]
  134. Labroo, M.R.; Studer, A.J.; Rutkoski, J.E. Heterosis and hybrid crop breeding: A multidisciplinary review. Front. Genet. 2021, 12, 643761. [Google Scholar] [CrossRef] [PubMed]
  135. Wakchaure, R.; Ganguly, S.; Praveen, P.K.; Sharma, S.; Kumar, A.; Mahajan, T.; Qadri, K. Importance of heterosis in animals: A review. Int. J. Adv. Eng. Technol. Innov. Sci. 2015, 1, 1–5. [Google Scholar]
  136. Melchinger, A. Genetic diversity and heterosis. In Genetics and Exploitation of Heterosis in Crops; American Society of Agronomy, Inc.: Madison, WI, USA, 1999; pp. 99–118. [Google Scholar]
  137. Kamvar, Z.N.; Grünwald, N.J. Algorithms and Equations Utilized in Poppr Version 2.9.6. 2024. Available online: https://cran.r-project.org/web/packages/poppr/vignettes/algo.pdf (accessed on 24 September 2024).
  138. Bernardo, R. Relationship between single-cross performance and molecular marker heterozygosity. Theor. Appl. Genet. 1992, 83, 628–634. [Google Scholar] [CrossRef]
  139. Su, J.; Zhang, F.; Yang, X.; Feng, Y.; Yang, X.; Wu, Y.; Guan, Z.; Fang, W.; Chen, F. Combining ability, heterosis, genetic distance and their intercorrelations for waterlogging tolerance traits in chrysanthemum. Euphytica 2017, 213, 42. [Google Scholar] [CrossRef]
  140. He, G.; Elling, A.A.; Deng, X.W. The epigenome and plant development. Annu. Rev. Plant Biol. 2011, 62, 411–435. [Google Scholar] [CrossRef]
  141. Li, Z.; Zhu, A.; Song, Q.; Chen, H.Y.; Harmon, F.G.; Chen, Z.J. Temporal regulation of the metabolome and proteome in photosynthetic and photorespiratory pathways contributes to maize heterosis. Plant Cell 2020, 32, 3706–3722. [Google Scholar] [CrossRef]
  142. Zhang, C.; Yang, Z.; Tang, D.; Zhu, Y.; Wang, P.; Li, D.; Zhu, G.; Xiong, X.; Shang, Y.; Li, C.; et al. Genome design of hybrid potato. Cell 2021, 184, 3873–3883. [Google Scholar] [CrossRef]
  143. Govindaraj, M.; Vetriventhan, M.; Srinivasan, M. Importance of genetic diversity assessment in crop plants and its recent advances: An overview of its analytical perspectives. Genet. Res. Int. 2015, 2015, 431487. [Google Scholar] [CrossRef]
  144. Chen, K.; Wang, Y.; Zhang, R.; Zhang, H.; Gao, C. CRISPR/Cas genome editing and precision plant breeding in agriculture. Annu. Rev. Plant Biol. 2019, 70, 667–697. [Google Scholar] [CrossRef] [PubMed]
  145. El Hadi, M.A.M.; Zhang, F.J.; Wu, F.F.; Zhou, C.H.; Tao, J. Advances in fruit aroma volatile research. Molecules 2013, 18, 8200–8229. [Google Scholar] [CrossRef] [PubMed]
  146. Simko, I.; Jimenez-Berni, J.A.; Sirault, X.R. Phenomic approaches and tools for phytopathologists. Phytopathology 2017, 107, 6–17. [Google Scholar] [CrossRef] [PubMed]
  147. Liu, X.; Min, W.; Mei, S.; Wang, L.; Jiang, S. Plant disease recognition: A large-scale benchmark dataset and a visual region and loss reweighting approach. IEEE Trans Image Process 2021, 30, 2003–2015. [Google Scholar] [CrossRef]
  148. Wang, Z.; Niu, Y.; Vashisth, T.; Li, J.; Madden, R.; Livingston, T.S.; Wang, Y. Nontargeted metabolomics-based multiple machine learning modeling boosts early accurate detection for citrus Huanglongbing. Hortic. Res. 2022, 9, uhac145. [Google Scholar] [CrossRef]
  149. Xu, S.; Xu, Y.; Gong, L.; Zhang, Q. Metabolomic prediction of yield in hybrid rice. Plant J. 2016, 88, 219–227. [Google Scholar] [CrossRef]
  150. Hu, H.; Campbell, M.T.; Yeats, T.H.; Zheng, X.; Runcie, D.E.; Covarrubias-Pazaran, G.; Broeckling, C.; Yao, L.; Caffe-Treml, M.; Gutiérrez, L.; et al. Multi-omics prediction of oat agronomic and seed nutritional traits across environments and in distantly related populations. Theor. Appl. Genet. 2021, 134, 4043–4054. [Google Scholar] [CrossRef]
  151. Burgueño, J.; de los Campos, G.; Weigel, K.; Crossa, J. Genomic prediction of breeding values when modeling genotype × environment interaction using pedigree and dense molecular markers. Crop Sci. 2012, 52, 707–719. [Google Scholar] [CrossRef]
  152. Heslot, N.; Akdemir, D.; Sorrells, M.E.; Jannink, J.L. Integrating environmental covariates and crop modeling into the genomic selection framework to predict genotype by environment interactions. Theor. Appl. Genet. 2014, 127, 463–480. [Google Scholar] [CrossRef]
  153. Moeinizade, S.; Kusmec, A.; Hu, G.; Wang, L.; Schnable, P.S. Multi-trait genomic selection methods for crop improvement. Genetics 2020, 215, 931–945. [Google Scholar] [CrossRef]
  154. Shahi, D.; Guo, J.; Pradhan, S.; Khan, J.; Avci, M.; Khan, N.; McBreen, J.; Bai, G.; Reynolds, M.; Foulkes, J.; et al. Multi-trait genomic prediction using in-season physiological parameters increases prediction accuracy of complex traits in US wheat. BMC Genom. 2022, 23, 298. [Google Scholar] [CrossRef] [PubMed]
  155. Melchinger, A.E.; Gumber, R.K. Overview of heterosis and heterotic groups in agronomic crops. Concepts Breed. Heterosis Crop Plants 1998, 25, 29–44. [Google Scholar]
Figure 1. Common concepts of heterosis.
Figure 1. Common concepts of heterosis.
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Figure 2. Genetic differences and prediction methods for qualitative and quantitative traits.
Figure 2. Genetic differences and prediction methods for qualitative and quantitative traits.
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Figure 3. Predictors of heterosis: genetic distance and non-additive effects.
Figure 3. Predictors of heterosis: genetic distance and non-additive effects.
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Table 1. Published studies of genomic prediction in horticulture crop breeding.
Table 1. Published studies of genomic prediction in horticulture crop breeding.
SpeciesTraitsPopulation SizeNumber of MarkersModelsModel PerformanceTrait HeritabilityReference
applefruit size977 individuals7829 SNPsBayesC π 0.08–0.26 (PAc)0.65 (h2)[75]
peathousand seed weight339 accessions9824 SNPskPLSR, LASSO, GBLUP, BayesA, and BayesB0.79–0.86 (PAc)-[94]
tomatofruit weight163 accessions5995 SNPsRR-BLUP0.81 (PAb)0.88[83]
peachFruit weight1147 plants6076 SNPsGBLUP0.39–0.84 (PAb)0.21–0.78 (h2)[95]
strawberryearly marketable yield1628 individuals17,479 SNPsGBLUP, BayesB, BayesC, BL, BRR, RKHS0.42–0.63 (PAb)0.29–0.43 (H2)[78]
cauliflowercurd width192 accessions62,566 SNPsRR-BLUP, GBLUP, BayesB0.35–0.45 (PAb)0.44 (H2)[88]
rapeseedplant height203 inbred lines24,338 SNPsRR-BLUP0.50 (PAc)0.70 (H2)[96]
potatoyield571 clones3895 SNPsGBLUP0.06–0.34 (PAc)-[92]
soybeanyield483 lines2647 SNPsRR-BLUP0.06–0.26 (PAb)0.17[97]
cassavadry yield290 clones51,259 SNPsGBLUP0.42–0.50 (PAc)0.62–0.78[98]
pepperfruit weight351 accessions18,663 SNPsgblupRR, RR, LASSO, Elastic net, BL, EBL, BayesB, BayesC, RKHS, RF0.79 (PAc)0.97 (H2)[87]
applefruit texture537 genotypes8294 SNPsRR-BLUP0.01–0.81 (PAc)-[76]
sugarcanecommercial cane sugar3984 clones26K SNPGBLUP, GenomicSS, BayesR0.36–0.57 (PAc)0.87 (H2)[99]
cowpea100-seed weight305 F8:10 RILs32,059 SNPsRR-BLUP0.12–0.15 (PAc)-[100]
cucumbercommercial fruit yield268 hybrids16,662 SNPsBRR0.68–0.78 (PAb)0.33–0.59 (H2)[86]
strawberrygray mold resistance380 individuals11,946 SNPsGBLUP, RKHS, SVM0.28–0.33 (PAc)0.38 (h2)[79]
tomatoyield100 F4 generations101,797 SNPsRR-BLUP0.73 (PAc)-[84]
rapeseed/canolastem rot resistance337 accessions27,282 SNPsRR-BLUP, BayesA, BayesB, BayesC, BL, BRR0.60–0.61 (PAb)0.69 (H2)[101]
spinachwhite rust resistance346 accessions13,235 SNPsRR-BLUP, GBLUP, CBLUP, BayesA, BayesB, BL, BRR, RF, SVM0.52–0.84 (PAc)-[31]
grapevinemean berry weight279 cultivars32,894 SNPsRR, LASSO0.57 (PAb)0.91 (H2)[77]
PAc: prediction accuracy; PAb: prediction ability; H2: Broad-sense heritability; h2: narrow-sense heritability.
Table 2. Published heterosis prediction studies based on genetic markers.
Table 2. Published heterosis prediction studies based on genetic markers.
SpeciesTraitNumber of MarkersPopulation Sizer (GD: MPH)r (GD: HPH)r (GCA: MPH)r (GCA: HPH)r (SCA: MPH)r (SCA: HPH)Reference
Chinese cabbagehead weight2,444,676 SNP91 hybrids0.17~0.21−0.11~−0.09----[117]
cucumberyield16662 SNP268 hybrids0.110.010.380.430.650.61[118]
melonfruit weight16 SSR13 accessions0.16−0.20----[119]
pepperfruit yield6 AFLP21 F1 hybrids−0.14−0.13----[120]
eggplantyield7335 SNPs55 genotypes0.11~0.19-----[121]
peayield14 SSR and 25 SRAP45 F1 hybrids0.26~0.330.11~0.41----[122]
carrottotal yield12 RAPD and 9 AFLP15 inbred lines and 34 hybrids0.31~0.470.23~0.42----[123]
rapeseedseed yield7600 SNP68 inbred lines and 132 hybrids0.250.27----[124]
rapeseedplant height402 (SSR/SAP)36 F1 hybrids0.150.10−0.43−0.670.520.35[113]
maizegrain yield55 AFLP136 F1 hybrids0.410.28--0.470.31[125]
maizeyield1129 SNP72 hybrids-0.37--0.480.31[126]
wheatgrain weight300 RAPD76 F2 hybrids0.10---−0.05-[127]
wheatyield4799 SNP20 inbred lines and 100 hybrids0.370.21----[114]
ricegrain yield207 SSR153 F1 hybrids0.10~0.350.02~0.28----[128]
ricegrain yield7098 SNP33 hybrids−0.06−0.130.470.420.550.46[129]
cottonplant height76,654 SNP1128 hybrids0.02−0.05----[116]
cottonplant height198 SSR1128 hybrids0.01−0.01----[116]
waxy cornplant height30 SSR24 hybrids−0.150.06--0.480.05[130]
pearl milletyield56 SSR147 lines-0.33----[115]
pearl milletyield75,007 SNP117 lines-0.35----[115]
r: Pearson correlation coefficient. GD: genetic distance; MPH: mid-parent heterosis; HPH: high-parent heterosis; GCA: general combining ability; SCA: special combining ability.
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Liu, C.; Du, S.; Wei, A.; Cheng, Z.; Meng, H.; Han, Y. Hybrid Prediction in Horticulture Crop Breeding: Progress and Challenges. Plants 2024, 13, 2790. https://doi.org/10.3390/plants13192790

AMA Style

Liu C, Du S, Wei A, Cheng Z, Meng H, Han Y. Hybrid Prediction in Horticulture Crop Breeding: Progress and Challenges. Plants. 2024; 13(19):2790. https://doi.org/10.3390/plants13192790

Chicago/Turabian Style

Liu, Ce, Shengli Du, Aimin Wei, Zhihui Cheng, Huanwen Meng, and Yike Han. 2024. "Hybrid Prediction in Horticulture Crop Breeding: Progress and Challenges" Plants 13, no. 19: 2790. https://doi.org/10.3390/plants13192790

APA Style

Liu, C., Du, S., Wei, A., Cheng, Z., Meng, H., & Han, Y. (2024). Hybrid Prediction in Horticulture Crop Breeding: Progress and Challenges. Plants, 13(19), 2790. https://doi.org/10.3390/plants13192790

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