Genetic architecture of resistance to Septoria tritici blotch in European wheat
© Miedaner et al.; licensee BioMed Central Ltd. 2013
Received: 19 March 2013
Accepted: 28 November 2013
Published: 5 December 2013
Septoria tritici blotch is an important leaf disease of European winter wheat. In our survey, we analyzed Septoria tritici blotch resistance in field trials with a large population of 1,055 elite hybrids and their 87 parental lines. Entries were fingerprinted with the 9 k SNP array. The accuracy of prediction of Septoria tritici blotch resistance achieved with different genome-wide mapping approaches was evaluated based on robust cross validation scenarios.
Septoria tritici blotch disease severities were normally distributed, with genotypic variation being significantly (P < 0.01) larger than zero. The cross validation study revealed an absence of large effect QTL for additive and dominance effects. Application of genomic selection approaches particularly designed to tackle complex agronomic traits allowed to double the accuracy of prediction of Septoria tritici blotch resistance compared to calculation methods suited to detect QTL with large effects.
Our study revealed that Septoria tritici blotch resistance in European winter wheat is controlled by multiple loci with small effect size. This suggests that the currently achieved level of resistance in this collection is likely to be durable, as involvement of a high number of genes in a resistance trait reduces the risk of the resistance to be overcome by specific pathogen isolates or races.
Septoria tritici blotch disease caused by Mycosphaerella graminicola (anamorph Septoria tritici) has become one of the most devastating leaf diseases in Central European winter wheat (Triticum aestivum L.). The high input of fungicides in combating this disease has led to a high percentage of fungal strains showing resistance to strobilurines . Moreover, the sensitivity to some azoles also was reduced substantially . Breeding for Septoria tritici blotch resistance, therefore, seems to be the most effective and environmental friendly method of control.
European winter wheat has a broad genetic basis of resistance to Septoria tritici blotch. In the descriptive list of cultivars of the German Federal Plant Variety Office , for example, Septoria tritici blotch ratings range from 3–8 on a 1–9 scale (1 = fully resistant) are documented. Sometimes resistance is isolate-specific based on a single Stb gene (Stb1-18, [4–7]) that can be monitored in a detached-leaf test , while in other cases quantitative resistance at the adult-plant stage is seen. The latter is in general based on several quantitative trait loci (QTL) with small to moderate effects [9, 10] and prone to high genotype x environment interactions . Many European wheat varieties combine both types of resistances, as is illustrated by the wide range of Septoria tritici blotch ratings in cultivars with individual Stb genes of which several are not effective any more in the field . A QTL analysis using four bi-parental populations revealed a total of 26 QTL for Septoria tritici blotch resistance, with the phenotypic variance explained by the individual QTL ranging from 3 to 21% . QTL analysis also revealed that Septoria tritici blotch resistance was negatively correlated with plant height. As consequence, a significant effect of the plant height-controlling Rht-D1 gene on Septoria tritici blotch resistance has been observed . Negative associations between Septoria tritici blotch resistance and plant height as well as heading date were also detected in populations where Rht-D1 was not segregating [14, 15]. Thus, tall and late wheat genotypes in general were found less prone to Septoria tritici blotch infection than short and early ones. The complex inheritance of Septoria tritici blotch resistance in European wheat has also been confirmed in a very recent study reporting 27 meta-QTL detected across seven bi-parental wheat populations (Goudemand, pers. commun.).
Despite success in detecting genomic regions involved in quantitative disease resistance, the underlying complex genetic architecture often prevents marker-assisted selection with high accuracy . As an alternative concept, genomic selection has been proposed . In genomic selection, effects are estimated for many markers based on large populations genotyped using high-density marker panels. First experimental results on Fusarium head blight resistance in wheat clearly suggested that genomic selection is very promising to improve breeding for quantitative disease resistances .
The current study relies on a diverse population of 1,055 European wheat hybrids and their 87 parental lines that were evaluated for adult-plant resistance to Septoria tritici blotch disease as well as fingerprinted with a 9 k SNP array. We applied one targeted association mapping and two genome-wide prediction approaches coupled with cross validations. Our objectives were to (1) study the potential to predict Septoria tritici blotch resistance in wheat and (2) evaluate the importance of additive, dominance and epistatic effects for Septoria tritici blotch resistance.
Plant material and field experiments
Our study was based on 1,055 elite wheat (Triticum aestivum L.) hybrids and their 87 parental lines (Additional file 1: Figure S1). The hybrids were derived by crossing 72 female and 15 male lines using chemical hybridization agents (Additional file 1: Figure S1). A detailed characterization of the population structure and extent of linkage disequilibrium of the parental lines have been discussed in our companion paper .
The in total 1,142 genotypes were evaluated for Septoria tritici blotch in unreplicated field trials at two locations in Schleswig-Holstein/Germany, Cecilienkoog (54.35 N, 8.55 E, at sea level) and Harzhof near Eckernförde (54.24 N, 9.51 E, 24 m above sea level), in the year 2012. The experimental design was an alpha design where replication and location effects were confounded. Sowing density ranged from 230 to 250 grains m-2 and plot size ranged from 0.56 to 1.5 m2.
In Cecilienkoog, targeted inoculation with a mixture of isolates was performed by spraying a spore suspension with a concentration of 1 × 106 spores/ml for one time when all genotypes had fully expanded flag leaves. In Harzhof, natural infection was followed. Septoria tritici blotch disease severity was visually scored plot wise as coverage of flag leaves with lesions bearing pycnidia on a scale from 1 (fully resistant) to 9 (fully susceptible). Data were recorded on 28th of June in both environments. Heading date (in days since January 1st) and plant height (in cm) were evaluated in addition.
Genotyping was done with the wheat 9 k SNP array based on the Illumina Infinium assay (for details see ). We performed quality checks for the SNP markers excluding those with (1) rate of missing values above 5%, (2) rate of heterozygosity above 5%, (3) and markers with minor allele frequency smaller than 0.05. In total, 1,280 SNP markers were used for the analyses. Additionally, genes Rht-B1 and Rht-D1 were genotyped by two functional markers (Korzun, pers. commun.) in the whole population of parents. Out of the 72 female lines, 25 and 45 lines turned out to carry dwarfing alleles at loci Rht-B1 and Rht-D1, respectively. In addition, two male parents had a dwarfing allele at locus Rht-B1.
Phenotypic data analyses
We performed lattice analyses of variance . The variances of the hybrids were further split into variance due to general combining ability effects and variance due to specific combining ability effects . Significance of variance components was tested by model comparison with likelihood ratio tests in which halved P values were used as an approximation . Heritability on an entry-mean basis was estimated as the ratio of the genotypic (σ 2 G ) versus the phenotypic variance (σ 2 P ), i.e., σ 2 G /σ 2 P . The phenotypic variance σ 2 P comprises σ 2 G and the masking variances divided by the number of locations. In addition, we assumed fixed genetic effects and estimated the Best Linear Unbiased Estimates of the 1,142 genotypes.
We specified the additive and dominance design matrices for the hybrids and their parental lines according to the F∞ metric . Based on the single location values we performed association mapping scans for additive and dominance effects with correcting for population stratification with a kinship matrix estimated based on the marker data as outlined in detail elsewhere . We contrasted this approach with a model not correcting for population stratification (Additional file 2: Figure S2). The significance of genome-wide association mapping scans was estimated based on a false discovery rate (FDR) of 0.1. In addition, a two-dimensional genome scan was performed and additive × additive, additive × dominance, dominance × additive, and dominance × dominance digenic epistatic effects were tested. The model included the detected main effect QTL as co-factors as well as the main and interaction effects of the marker pair under consideration . To test for significance, we followed the suggestion of  and divided the alpha-level of 0.05 by the number of possible independent tests for pairwise interactions assuming an extent of linkage disequilibrium of up to 5 cM (P < 1.25e-6). All above outlined statistical analyses were performed using the software ASReml 3.0 . We used a multiple linear regression with all significant markers to estimate the proportion of the explained phenotypic variation. SNP markers were ordered according to their P values.
Based on the adjusted entry means of the 1,142 genotypes, we applied Ridge Regression Best Linear Unbiased Prediction (RR-BLUP)  and BayesCπ[29, 30] considering additive and dominance effects. Details of the implementation of the models have been described in . All statistical procedures for the genomic selection approaches were executed using R .
Cross validations for association mapping and genomic selection
We evaluated the accuracy of prediction of Septoria tritici blotch resistance by association mapping and the two genomic selection approaches using cross validations. Since population structure in factorial crosses strongly influences prediction accuracy, we used a cross validation strategy where training and validation sets were not related to each other via common parental lines. We sampled 100 times 400 hybrids derived from 10 male and 47 female parental lines as training set and estimated the additive and dominance effects. Hybrids based on the remaining parental lines formed the validation set in which predictions derived from the training set were tested for their accuracy. For every training set, we applied the genomic selection as well as the association mapping models outlined above. For the association mapping approach, we corrected for population stratification with a kinship matrix and identified significant marker-trait associations using a false discovery rate (FDR) of 0.1. We predicted the hybrid performance using the estimated marker effects. The implementation of RR-BLUP was based on estimates of the genetic variances and heritability of the full population. Prediction accuracy was estimated as Pearson’s correlation coefficient between the observed and the predicted hybrid performance dividing by the square root of the heritability on an entry-mean basis. We used the heritability on an entry-mean basis estimated for the full population, because this estimate possesses a lower standard error compared to the heritability estimated in the training population.
Means and ranges of Septoria tritici blotch resistance scores for 1,055 wheat hybrids and their 87 parental lines evaluated in field trials at two locations separately and across locations
Source of variation
We observed a moderate, yet significant (r = 0.42, P < 0.001) correlation between plant height and Septoria tritici blotch severity (Additional file 3: Figure S3). The effects of dwarfing alleles Rht-B1b and Rht-D1b were significantly different from zero for the comparison-wise but not for the family-wise error rate and explained 4% and 1.2% of the total phenotypic variance for Septoria tritici blotch resistance, respectively. Heading time and Septoria tritici blotch severity were not significantly correlated (r = −0.03 for the hybrids).
SNP markers detected in the association mapping scan underlying Septoria tritici blotch resistance, the proportion of explained phenotypic variance (R 2 ), and the frequency of occurrence in the different cross validation runs
Marker position (chromosome, centi Morgan)
Frequency of occurrence (%)
Septoria tritici blotch in wheat has gained much attention in Europe in the last years. This is reflected by the substantial resources that were invested in programs for the selection for improved Septoria tritici blotch resistance. Inheritance of Septoria tritici blotch resistance is complex and QTL studies revealed only small effects of individual QTL. Among four populations, for example, 5 to 9 QTL per population were detected and the phenotypic variance explained by all QTL together dropped to 24% to 40% after five-fold cross validation . Genomic selection has been proposed for the prediction of such complex traits that are controlled by multiple gene loci with small effects . Therefore, we investigated in this survey the potential of genomic selection for Septoria tritici blotch resistance and contrasted the outcomes with those of association mapping.
High disease severity resulted in good genetic differentiation
Artificial and natural infection led to a broad range of Septoria tritici blotch severity scores among lines and hybrids, illustrating the occurrence of resistance in the population (Table 1). Mean disease severity caused by natural infection was lower than after artificial inoculation. Nevertheless, resistance scores of genotypes seen with natural and with artificial infection were significantly (r = 0.32, P < 0.01) correlated. Similarly, Schilly et al.  had reported even higher correlations between artificial and natural infections. Accordingly, genotypic variances across locations were significantly (P < 0.01) different from zero for both lines and hybrids. Because natural S. tritici populations are highly variable in their race composition and most probably differed from the isolates used for inoculation, we can assume that we assessed broad-based adult-plant resistances in this study.
Morphological resistance to Septoria tritici blotch
Septoria tritici blotch resistance is associated with increased plant height (Additional file 3: Figure S3). 18% of the phenotypic variance of Septoria tritici blotch resistance can most likely be attributed to increased plant height as calculated from the coefficient of correlation. This morphological resistance is most likely due to the mode of spread of pycnidiospores, the main source of inoculum in spring and summer. Pycnidiospores are splash dispersed and, thus, tall plants have a higher probability of escape infection than short ones .
On the level of genes, this morphological resistance was reflected in previous reports by the co-localization of QTL for Septoria tritici blotch resistance and with dwarfing gene loci [15, 33] as well as further plant height QTL . In our study, the two dwarfing alleles, Rht-B1b and Rht-D1b, were well represented in the female lines. In addition, two male lines exhibited the Rht-B1b allele. The combined effect of the two dwarfing genes on Septoria tritici blotch severity amounted to 5%, which was not high enough to reach the significance threshold in the association mapping scan after correcting for multiple testing. This finding is surprising with regard to the large size of the mapping population. We thus investigated whether the population structure was associated with plant height, which could have caused a low power of QTL detection, but did not observe association between the distance matrix of the inbred lines and plant height. An alternative explanation is that in hybrids, which comprised the largest set of genotypes in our mapping population, the two dwarfing genes are mostly present at the heterozygous state. Combined with the observation that the dwarfing alleles exhibited only partial dominance (Zhao, pers. commun.), this might at least partially explain why the dwarfing genes did not show association with Septoria tritici blotch resistance at a genome wide level.
QTL for septoria tritici blotch resistance revealed by association mapping
Eight SNPs were significantly associated with Septoria tritici blotch resistance (Table 2) with a SNP on chromosome 5B having the largest effect and frequency of occurrence (Table 2). On this chromosome, the race-specific resistance gene Stb1 is located . Absence of functional markers for Stb1, however, prevents a further study in detail. Moreover, the source of the Stb1 gene is a Bulgarian landrace, which has to our knowledge not yet been introgressed into Central European elite wheat lines. Two QTL from History/Rubens (34 cM, 68 cM) and one QTL from Arina/Forno (44 cM) have been also located in a similar region in a previous study on chromosome 5B . In History/Rubens the QTL at 68 cM on chromosome 5B was additionally effective for Fusarium head blight resistance, thus, representing a broad-spectrum resistance QTL . In accordance to our results, Eriksen et al.  detected a QTL on chromosome 2B, but the localization cannot be compared due to the use of a different type of markers.
Relevance of intra- and interlocus interaction effects
The analysis of variance revealed a high importance of general combination ability effects as would be expected for quantitative pathogen resistances . Variance of specific combining ability effects reflecting the variance of dominance effects  was not significantly different from zero. Consequently, the phenotypic data analysis suggested absence of net dominance effects. This finding is in accordance with the very low prediction accuracies in the association mapping approach observed when exploiting exclusively dominance effects, but in contrast to the positive prediction accuracies in the two genomic selection approaches (Figure 3). Interestingly, exploiting both additive and dominance effects in the prediction model led only to a marginal improvement as compared to using additive effects exclusively. This can partially be explained by the fact that dominance effects can be compensated by additive effects due to the non-orthogonal decomposition of the genotypic value applying the F∞ metric. A further reason for the low benefit to exploit besides additive also dominance effects is the large proportion of unexplained variation entering the prediction model when dominance effects are included .
We tested for the presence of epistatic effects among loci by a full two-dimensional scan. As expected for selfing species such as wheat , additive x additive effects are prevailing (Figure 3). In contrast, interaction effects involving dominance effects were less important. Across the different types of epistasis, the effect sizes of particular epistatic effects were small (Figure 2). Despite this, the huge number of potential interactions among loci in the genome can result in substantial cumulative epistatic effects (e.g., ).
A thorough evaluation of the potential to increase the prediction accuracy in genome-wide mapping approaches through the exploitation of epistasis requires cross validation studies. We have not performed these analyses, due to the high computational demand for two-dimensional scans of epistasis. There exists a strong demand to develop computational efficient methods to tackle epistatic interactions in genome-wide mapping studies based on high-density SNP arrays. Moreover, further research is needed to investigate methods suited to scale the epistatic variance components relative to the variance of the main effects.
Doubling the prediction accuracy through genomic selection
Both applied genomic selection procedures had a considerably higher accuracy to predict Septoria tritici blotch resistance than the association mapping approach (Figure 3). Consequently, our findings clearly point to the need to tackle complex traits such as Septoria tritici blotch resistance with the appropriated biometrical models. A previous study on Fusarium head blight resistance, which presumably has a similar genetic architecture as of Septoria tritici blotch resistance , yielded a substantially higher prediction accuracy of 0.61 despite a lower population size . This higher prediction accuracy might be explained by differences in the genetic composition of the lines of both studies. Using SSR markers, we have selected a set of parental lines with maximized allelic diversity out of several hundred elite lines. Such a strategy strongly decreases the average degree of relatedness in the population under consideration. Therefore, genomic selection mainly exploits linkage disequilibrium between SNPs and QTL . It should also be noted that we followed a conservative cross validation procedure to allow generalization of our results, i.e. training and validation sets did not share any parents. If the information for the female or male parents is additionally implemented in the model, the accuracy rises to 0.6 (male parents) or 0.87 (female parents).
For our data set, we observed a slight superiority of RR-BLUP compared to BayesCπ. While RR-BLUP approximates the infinitesimal model, BayesCπ relies on the assumption that particular loci contributed stronger to the phenotypic variance than others . Consequently, our finding can be interpreted as an indicator that Septoria tritici blotch resistance is controlled by many loci with a small effect size each. Given the accuracy of genomic prediction in this population, phenotypic selection of quantitative Septoria tritici blotch resistance should be continued. The results give a good prospect for the durability of Septoria tritici blotch resistance present in the underlying population, as a high number of genes responsible for one resistance trait is reducing the risk of the resistance being overcome by a specific isolate or race.
Availability of data
The data is available from the Dryad Digital Repository: doi:10.5061/dryad.461nc.
This research was conducted within the HYWHEAT project funded by the German Federal Ministry of Education and Research (BMBF) Grant ID: FKZ0315945D.
- Torriani SF, Brunner PC, McDonald BA, Sierotzki H: QoI resistance emerged independently at least 4 times in European populations of mycosphaerella graminicola. Pest Manag Sci. 2009, 65: 155-162. 10.1002/ps.1662.View ArticlePubMedGoogle Scholar
- Cools HJ, Fraaije BA: Are azole fungicides losing ground against septoria wheat disease? resistance mechanisms in mycosphaerella graminicola. Pest Manag Sci. 2008, 64: 681-684. 10.1002/ps.1568.View ArticlePubMedGoogle Scholar
- BSL: Descriptive list of cultivars [In German: Beschreibende Sortenliste Getreide, Mais, Ölfrüchte, Leguminosen (großkörnig), Hackfrüchte (außer Kartoffeln)]. 2012, Bundessortenamt, Osterfelddamm 80, 30627 HannoverGoogle Scholar
- Goodwin SB: Back to basics and beyond: increasing the level of resistance to septoria tritici blotch in wheat. Australas Plant Path. 2007, 36: 532-538. 10.1071/AP07068.View ArticleGoogle Scholar
- Ghaffary SMT, Rober O, Laurent V, Lonnet P, Margalé E, van der Lee TAJ, Visser RGF, Kema GHJ: Genetic analysis of resistance to septoria tritici blotch in the French winter wheat cultivars balance and apache. Theor Appl Genet. 2011, 123: 741-754. 10.1007/s00122-011-1623-7.View ArticlePubMedGoogle Scholar
- Ghaffary SMT, Faris JD, Friesen TL, Visser RGF, van der Lee TAJ, Robert O, Kema GHJ: New broad-spectrum resistance to septoria tritici blotch derived from synthetic hexaploid wheat. Theor Appl Genet. 2012, 124: 125-142. 10.1007/s00122-011-1692-7.View ArticleGoogle Scholar
- Kelm C, Ghaffary SMT, Bruelheide H, Röder MS, Miersch S, Weber WE, Kema GHJ, Saal B: The genetic architecture of seedling resistance to septoria tritici blotch in the winter wheat doubled-haploid population solitär × mazurka. Mol Breeding. 2012, 29: 813-830. 10.1007/s11032-011-9592-8.View ArticleGoogle Scholar
- Arraiano LS, Brading PA, Brown JKM: A detached seedling leaf technique to study resistance to mycosphaerella graminicola (anamorph septoria tritici) in wheat. Plant Pathol. 2001, 50: 339-346. 10.1046/j.1365-3059.2001.00570.x.View ArticleGoogle Scholar
- Eriksen L, Borum F, Jahoor A: Inheritance and localisation of resistance to mycosphaerella graminicola causing septoria tritici blotch and plant height in the wheat (triticum aestivum L.) genome with DNA markers. Theor Appl Genet. 2003, 107: 515-527. 10.1007/s00122-003-1276-2.View ArticlePubMedGoogle Scholar
- Chartrain L, Brading PA, Widdowson JP, Brown JKM: Partial resistance to septoria tritici blotch (mycosphaerella graminicola) in wheat cultivars arina and riband. Phytopathology. 2004, 94: 497-504. 10.1094/PHYTO.2004.94.5.497.View ArticlePubMedGoogle Scholar
- Schilly A, Risser P, Ebmeyer E, Hartl L, Reif JC, Würschum T, Miedaner T: Stability of adult-plant resistance to Septoria tritici blotch in 24 European winter wheat varieties across nine field environments. J Phytopathology. 2011, 159: 411-416.Google Scholar
- Arraiano LS, Brown JKM: Identification of isolate-specific and partial resistance to septoria tritici blotch in 238 European wheat cultivars and breeding lines. Plant Pathol. 2006, 55: 726-738. 10.1111/j.1365-3059.2006.01444.x.View ArticleGoogle Scholar
- Risser P: PhD thesis. Mapping of quantitative-trait loci (QTL) for adult-plant resistance to septoria tritici in five wheat populations (triticum aestivum L.). 2010, Germany: University Hohenheim, http://opus.ub.uni-hohenheim.de/volltexte/2010/517/,Google Scholar
- Miedaner T, Risser P, Paillard S, Schnurrbusch T, Keller B, Hartl L, Holzapfel J, Korzun V, Ebmeyer E, Utz HF: Broad-spectrum resistance loci for three quantitatively inherited diseases in two winter wheat populations. Mol Breeding. 2012, 29: 731-742. 10.1007/s11032-011-9586-6.View ArticleGoogle Scholar
- Risser P, Ebmeyer E, Korzun V, Hartl L, Miedaner T: Quantitative trait loci for adult-plant resistance to Mycosphaerella graminicola in two winter wheat populations. Phytopathology. 2011, 101: 1209-1216. 10.1094/PHYTO-08-10-0203.View ArticlePubMedGoogle Scholar
- Miedaner T, Korzun V: Marker-assisted selection for disease resistance in wheat and barley breeding. Phytopathology. 2012, 102: 560-566. 10.1094/PHYTO-05-11-0157.View ArticlePubMedGoogle Scholar
- Meuwissen THE, Hayes BJ, Goddard ME: Prediction of total genetic value using genome-wide dense marker maps. Genetics. 2001, 157: 1819-1829.PubMed CentralPubMedGoogle Scholar
- Rutkoski J, Benson J, Jia Y, Brown-Guedira G, Jannink J-L, Sorrells M: Evaluation of genomic prediction methods for fusarium head blight resistance in wheat. The Plant Genome. 2012, 5: 51-61. 10.3835/plantgenome2012.02.0001.View ArticleGoogle Scholar
- Würschum T, Langer SM, Longin CFH, Korzun V, Akhunov E, Ebmeyer E, Schachschneider R, Schacht J, Kazman E, Reif JC: Population structure, genetic diversity and linkage disequilibrium in elite winter wheat assessed with SNP and SSR markers. Theor Appl Genet. doi: 10.1007/s00122-013-2065-1Google Scholar
- Schutz WM, Cockerham CC: The effect of field blocking on gain from selection. N C State University, Inst of Statist Mimeogr Ser. 1962, 328: 86-Google Scholar
- Hallauer AR, Miranda JBF: Quantitative Genetics in Maize Breeding. 1988, Ames: Iowa State University Press, 2Google Scholar
- Stram DO, Lee JW: Variance components testing in longitudinal mixed effects model. Biometrics. 1994, 50: 1171-1177. 10.2307/2533455.View ArticlePubMedGoogle Scholar
- Falconer DS, Mackay TFC: Introduction to Quantitative Genetics. 1996, Essex: Longman Scientific and Technical Ltd, 4Google Scholar
- Zhao Y, Gowda M, Würschum T, Longin CFH, Korzun V, Fernando JZR, Reif JC: Dissecting the genetic architecture of frost tolerance in Central European winter wheat. J Exp Bot. 2013, 64: 4453-4460. 10.1093/jxb/ert259.PubMed CentralView ArticlePubMedGoogle Scholar
- Würschum T, Maurer HP, Schulz B, Möhring J, Reif JC: Genome-wide association mapping reveals epistasis and genetic interaction networks in sugar beet. Theor Appl Genet. 2011, 123: 109-118. 10.1007/s00122-011-1570-3.View ArticlePubMedGoogle Scholar
- Holland JB, Moser HS, O’Donoughue LS, Lee M: QTLs and epistasis associated with vernalization responses in oat. Crop Sci. 1997, 37: 1306-1316. 10.2135/cropsci1997.0011183X003700040047x.View ArticleGoogle Scholar
- Gilmour A, Gogel BJ, Cullis BR, Thompson R: ASReml User Guide Release 3.0. 2009, Hemel Hempstead, HP1 1ES: VSN International Ltd, http://www.vsni.co.uk,Google Scholar
- Whittaker JC, Thompson R, Denham MC: Marker-assisted selection using ridge regression. Genet Res. 2000, 75: 249-252. 10.1017/S0016672399004462.View ArticlePubMedGoogle Scholar
- Dekkers JCM, Garrick DJ, Fernando RL: Short course on use of high-density SNP genotyping for genetic improvement of livestock: 1–10 June 2009. 2009, Ames: Iowa State UniversityGoogle Scholar
- Habier D, Fernando RL, Kizilkaya K, Garrick DJ: Extension of the bayesian alphabet for genomic selection. BMC Bioinforma. 2011, 12: 186-10.1186/1471-2105-12-186.View ArticleGoogle Scholar
- R Development Core Team: R: A language and environment for statistical computing. 2010, Vienna: R Foundation for Statistical Computing, http://www.r-project.org,Google Scholar
- Eriksen L, Munk L: The occurrence of mycosphaerella graminicola and its anamorph septoria tritici in winter wheat during the growing season. Eur J Plant Pathol. 2003, 109: 253-259. 10.1023/A:1022851502770.View ArticleGoogle Scholar
- Baltazar BM, Scharen AL, Kronstad WE: Association between dwarfing genes ‘Rht1’ and ‘Rht2’ and resistance to septoria tritici blotch in winter wheat (triticum aestivum L. em thell). Theor Appl Genet. 1990, 79: 422-426. 10.1007/BF01186089.View ArticlePubMedGoogle Scholar
- Geiger HH, Heun M: Genetics of quantitative resistance to fungal diseases. Annu Rev Phytopathol. 1989, 27: 317-341. 10.1146/annurev.py.27.090189.001533.View ArticleGoogle Scholar
- Wricke G, Weber WE: Quantitative Genetics and Selection in Plant Breeding. 1986, Berlin, New York: Walter de GruyterView ArticleGoogle Scholar
- Cockerham CC: Additive by additive variance with inbreeding and linkage. Genetics. 1984, 108: 487-500.PubMed CentralPubMedGoogle Scholar
- Reif JC, Kusterer B, Piepho H-P, Meyer RC, Altmann T, Schön CC, Melchinger AE: Unraveling epistasis with triple testcross progenies of near-isogenic lines. Genetics. 2009, 181: 247-257.PubMed CentralView ArticlePubMedGoogle Scholar
- Miedaner T, Würschum T, Maurer HP, Korzun V, Ebmeyer E, Reif JC: Association mapping for fusarium head blight resistance in European soft winter wheat. Mol Breeding. 2011, 28: 647-655. 10.1007/s11032-010-9516-z.View ArticleGoogle Scholar
- Habier D, Fernando RL, Dekkers JCM: The impact of genetic relationship information on genome-assisted breeding values. Genetics. 2007, 177: 2389-2397.PubMed CentralPubMedGoogle Scholar
This article is published under license to BioMed Central Ltd. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.