The effect of using approximate gametic variance covariance matrices on marker assisted selection by BLUP

Under additive inheritance, the Henderson mixed model equations (HMME) provide an efficient approach to obtaining genetic evaluations by marker assisted best linear unbiased prediction (MABLUP) given pedigree relationships, trait and marker data. For large pedigrees with many missing markers, however, it is not feasible to calculate the exact gametic variance covariance matrix required to construct HMME. The objective of this study was to investigate the consequences of using approximate gametic variance covariance matrices on response to selection by MABLUP. Two methods were used to generate approximate variance covariance matrices. The first method (Method A) completely discards the marker information for individuals with an unknown linkage phase between two flanking markers. The second method (Method B) makes use of the marker information at only the most polymorphic marker locus for individuals with an unknown linkage phase. Data sets were simulated with and without missing marker data for flanking markers with 2, 4, 6, 8 or 12 alleles. Several missing marker data patterns were considered. The genetic variability explained by marked quantitative trait loci (MQTL) was modeled with one or two MQTL of equal effect. Response to selection by MABLUP using Method A or Method B were compared with that obtained by MABLUP using the exact genetic variance covariance matrix, which was estimated using 15 000 samples from the conditional distribution of genotypic values given the observed marker data. For the simulated conditions, the superiority of MABLUP over BLUP based only on pedigree relationships and trait data varied between 0.1% and 13.5% for Method A, between 1.7% and 23.8% for Method B, and between 7.6% and 28.9% for the exact method. The relative performance of the methods under investigation was not affected by the number of MQTL in the model.     

Marker assisted selection of bacterial blight resistance genes in rice

Bacterial leaf blight caused by Xanthomonas oryzae pv. oryzae is one of the most important diseases affecting rice production in Asia. We were interested in surveying rice genotypes that are popularly used in the Indian breeding program for conferring resistance to bacterial blight, using 11 STMS and 6 STS markers. The basis of selection of these DNA markers was their close linkage to xa5, xa13, and Xa21 genes and their positions on the rice genetic map relative to bacterial blight resistance genes. Eight lines were found to contain the xa5 gene while two lines contained Xa21 gene and none of the lines contained the xa13 gene with the exception of its near-isogenic line. Using the polymorphic markers obtained in the initial survey, marker-assisted selection was performed in the F3 population of a cross between IR-64 and IET-14444 to detect lines containing multiple resistance genes. Of the 59 progeny lines analyzed, eight lines contained both the resistance genes, xa5 and Xa4.     

Marker assisted selection for the improvement of two antagonistic traits under mixed inheritance

A Monte Carlo simulation was used to investigate the potential of Marker Assisted Selection (MAS) in a multiple-trait situation. Only additive effects were considered. The base population was assumed to be in linkage equilibrium and, next, the population was managed over 15 discrete generations, 10 males and 50 females were chosen out of the 100 candidates of each sex. Performance for two traits was simulated with an overall heritability of a given trait equal to 0.25 or 0.10 and the overall genetic correlation between traits was generally equal to -0.4 except in one case where it was equal to 0. The model involved one biallelic QTL, accounting for 10 or 20% of the genetic variance of a given trait, plus polygenes. Initial allelic frequencies at the QTL were generally equal to 0.5 but in one case were equal to 0.1 and 0.9. A marker with 120 different alleles in the 60 founder parents was simulated in the vicinity of the QTL. Two values of the recombination rate between these two loci were considered, 0.10 and 0.02. The genetic evaluation was based on a multiple-trait BLUP animal model, accounting (MAS) or not (conventional BLUP) for marker information. Two sets of simulations were run: (1) a "missing data"case, with males having no record for one of the traits, and (2) a "secondary trait"case, with one trait having a weight in the aggregate genotype 4 times less than the other trait and the QTL acting only on this secondary trait. In the first set, evaluation methods were found to mainly affect the accuracy of overall genetic values prediction for the trait with missing data. In comparison with BLUP, MAS led to an extra overall genetic response for the trait with missing data, which was strongly penalised under the conventional BLUP, and to a deficit in response for the other trait. This more balanced evolution of the two traits was obtained, however, at the expense of the long-term overall cumulated response for the aggregate genotype, which was 1 to 2.5% lower than the one obtained under the conventional BLUP. In the second set of simulation, in the case of low initial frequency (0.1) of the QTL allele favourable to the secondary trait, MAS was found to be substantially more efficient to avoid losing this allele than BLUP only when the QTL had a large effect and the marker was close. More benefits should be expected from MAS with more specific applications, such as early selection of animals, or by applying dynamic procedures i.e. letting the respective weights to QTL and polygenic values in the selection criterion vary across generation.     

Marker assisted selection in crop plants

Genetic mapping of major genes and quantitative traits loci (QTLs) for many important agricultural traits is increasing the integration of biotechnology with the conventional breeding process. Exploitation of the information derived from the map position of traits with agronomical importance and of the linked molecular markers, can be achieved through marker assisted selection (MAS) of the traits during the breeding process. However, empirical applications of this procedure have shown that the success of MAS depends upon several factors, including the genetic base of the trait, the degree of the association between the molecular marker and the target gene, the number of individuals that can be analyzed and the genetic background in which the target gene has to be transferred. MAS for simply inherited traits is gaining increasing importance in breeding programs, allowing an acceleration of the breeding process. Traits related to disease resistance to pathogens and to the quality of some crop products are offering some important examples of a possible routinary application of MAS. For more complex traits, like yield and abiotic stress tolerance, a number of constraints have determined severe limitations on an efficient utilization of MAS in plant breeding, even if there are a few successful applications in improving quantitative traits. Recent advances in genotyping technologies together with comparative and functional genomic approaches are providing useful tools for the selection of genotypes with superior agronomical performancies.     

利用微卫星标记鉴定水稻的稻瘟病抗性

应用水稻稻瘟病抗性基因Pid(t)紧密连锁的微卫星标记RM262对含有该抗病基因的品种地谷与感病品种江南香糯和8987的杂交F2群体进行遗传分析和抗性鉴定,结果表明,RM262的PCR扩增物在抗、感品种之间的多态性较好;在2个F2群体中,RM262和抗病基因间的重组率分别为5.74%和8.17%,应用该标记的抗性纯合和杂合带型选择抗性植株,其准确率可达98%以上。此外,还就分子标记辅助育种进行了讨论。     

Bacterial leaf blight resistance genes (Xa21, xa13 and xa5) pyramiding through molecular marker assisted selection into rice cultivars

Marker assisted selection was employed to pyramid three bacterial blight resistance genes Xa21, xa13 and xa5 into high yielding susceptible rice cultivars ADT43 and ADT47. With the assistance of PCR markers, homozygous and heterozygous genotypes were identified in F₂ generation of two crosses (ADT43 × IRBB60 and ADT47 × IRBB60) and goodness of fit was tested. Eighty nine plants from F₃ generation of ADT43 × IRBB60 were also screened for resistance genes. The genotypes carrying resistance genes in different combinations were identified. The pyramided lines showed a wider spectrum and higher level of resistance against two Xoo isolates under field conditions.     

Optimal mass selection policies for schemes with overlapping generations and restricted inbreeding

Optimum breeding schemes for maximising the rate of genetic progress with a restriction on the rate of inbreeding (per year or per generation) are investigated for populations with overlapping generations undergoing mass selection. The optimisation is for the numbers of males and females to be selected and for their distribution over age classes. Expected rates of genetic progress (ΔG) are combined with expected rates of inbreeding (ΔF) in a linear objective function (Φ = ΔG - λΔF) which is maximised. A simulated annealing algorithm is used to obtain the solutions. The restriction on inbreeding is achieved by increasing the number of parents and, in small schemes with severe restrictions, by increasing the generation interval. In the latter case the optimum strategy for obtaining the maximum genetic gain is far from truncation selection across age classes. In most situations, the optimum mating ratio is one but the differences in genetic gain obtained with different mating ratios are small. Optimisation of schemes when restricting the rate of inbreeding per generation leads to shorter generation intervals than optimisation when restricting the rate of inbreeding per year.     

甜瓜果肉颜色相关的分子标记开发和应用

橘色果肉是当前甜瓜育种中的重要性状之一。该研究根据橘肉甜瓜材料与非橘肉甜瓜材料,在甜瓜橘色果肉控制基因(CmOr)缺失位点(Insert/Deletion)开发出了InDel-Or1标记。利用InDel-Or1标记对28份甜瓜材料进行基因型检测。结果显示:橘肉甜瓜表现为非缺失带型或杂合带型,非橘肉材料表现为缺失带型,标记多态性与果肉颜色共分离。进一步利用InDel-Or1对2个由白色果肉与橘色果肉杂交得到的F2分离群体进行果肉颜色的鉴定,检测准确率分别为97.4%和95.3%。研究表明,InDel-Or1标记在甜瓜果肉颜色的实际鉴定中具有较高的准确性,能够大大提高育种选择的效率,缩短育种周期。     

A method to optimize selection on multiple identified quantitative trait loci

A mathematical approach was developed to model and optimize selection on multiple known quantitative trait loci (QTL) and polygenic estimated breeding values in order to maximize a weighted sum of responses to selection over multiple generations. The model allows for linkage between QTL with multiple alleles and arbitrary genetic effects, including dominance, epistasis, and gametic imprinting. Gametic phase disequilibrium between the QTL and between the QTL and polygenes is modeled but polygenic variance is assumed constant. Breeding programs with discrete generations, differential selection of males and females and random mating of selected parents are modeled. Polygenic EBV obtained from best linear unbiased prediction models can be accommodated. The problem was formulated as a multiple-stage optimal control problem and an iterative approach was developed for its solution. The method can be used to develop and evaluate optimal strategies for selection on multiple QTL for a wide range of situations and genetic models.     

Usefulness of marker‐assisted selection to improve maize for increased resistance to Sesamia nonagrioides attack with no detrimental effect on yield

Two decades of investigations on maize resistance to Mediterranean corn borer (Sesamia nonagrioides Lefebvre; MCB) have shown that breeding for increased resistance to stem tunnelling by MCB often resulted in reduced yield because significant genetic correlation between both traits exists in some backgrounds. Unlike phenotypic selection, marker‐assisted selection (MAS) could differentiate markers linked only to one trait from those linked simultaneously to yield potential and susceptibility to the pest. In the current study, the suitability of MAS for improving resistance to stem tunnelling without adverse effects on yield has been tested. The unfavourable genetic relationship between yield potential and susceptibility could be overcome using MAS. Gains obtained using MAS were weak, because genetic variance explained by the quantitative trait loci (QTL) was low but results encourage us to persevere in using marker information for simultaneous improvement of resistance and yield especially if genome‐wide approaches are applied. Approaches to detect QTL are widely used, but studies on the suitability of markers linked to QTL for performing MAS have been mostly neglected.     

Optimizing purebred selection for crossbred performance using QTL with different degrees of dominance

A method was developed to optimize simultaneous selection for a quantitative trait with a known QTL within a male and a female line to maximize crossbred performance from a two-way cross. Strategies to maximize cumulative discounted response in crossbred performance over ten generations were derived by optimizing weights in an index of a QTL and phenotype. Strategies were compared to selection on purebred phenotype. Extra responses were limited for QTL with additive and partial dominance effects, but substantial for QTL with over-dominance, for which optimal QTL selection resulted in differential selection in male and female lines to increase the frequency of heterozygotes and polygenic responses. For over-dominant QTL, maximization of crossbred performance one generation at a time resulted in similar responses as optimization across all generations and simultaneous optimal selection in a male and female line resulted in greater response than optimal selection within a single line without crossbreeding. Results show that strategic use of information on over-dominant QTL can enhance crossbred performance without crossbred testing.     

山羊经济性状标记辅助选择的遗传效应分析

本研究以辽宁绒山羊、柴达木绒山羊和柴达木山羊3个群体共147只山羊为研究对象,运用PAGE和RAPD技术对山羊的体重、绒产量和绒细度3个性状进行了与标记基因关系的遗传分析,结果表明：EsD2-2型、LAPBB型和PA-32-2型分别为体重、绒产量和绒细度性状的优势标记基因型;可利用标记辅助预测的方法充分利用多基因座标记基因间的互作效应;在体重上,寻找到有显著选择效应的RAPD条带11个,在绒产量和绒细度上分别为9和6个;在多目标性状选择中,CY0818/A0型和OPW19/C1型为体重和绒产量的双重优势RAPD标记,CY0818/G1型为体重和绒细度的双重优势RAPD标记。Abstract: The genetic relationships between economic traits and genetic markers were studied in 147 goats including Chaidamu goat (CS), Chaidamu Cashmere goat (CRS) and Liaoning Cashmere goat (LRS) in Qinghai province, China. CRS was the population of CS×LRS crossbred. The results showed as follows: the selection reaction of these blood protein polymorphisic loci were great, such as EsD, LAP and PA-3; and EsD2-2, LAPBB and PA-32-2 were the superior marker genotypes on body weight ,Cashmere yield and Cashmere fineness respectively by Least Square method. The interaction between marker genotypes at double loci was found frequently, and their ratio between interaction variance component and genetic variance was higher. With the method of marker assisted prediction( MAP), some interaction effect could be used effectively in the crossbreed population. On the aspect of random amplified polymorphic DNA (RAPD), the number of the superior RAPD marker bands were 11 on body weight trait, 9 and 6 RAPD marker bands on Cashmere yield and Cashmere fineness. For multi-goal traits, CY0818/A0 type and OPW19/C1 type were superior RAPD markers of body weight and Cashmere yield, CY0818/G1 type was superior one of body weight and Cashmere fineness.     

Insertion site‐based polymorphism markers open new perspectives for genome saturation and marker‐assisted selection in wheat

In wheat, the deployment of marker‐assisted selection has long been hampered by the lack of markers compatible with high‐throughput cost‐effective genotyping techniques. Recently, insertion site‐based polymorphism (ISBP) markers have appeared as very powerful new tools for genomics and genetic studies in hexaploid wheat. To demonstrate their possible use in wheat breeding programmes, we assessed their potential to meet the five main requirements for utilization in MAS: flexible and high‐throughput detection methods, low quantity and quality of DNA required, low cost per assay, tight link to target loci and high level of polymorphism in breeding material. Toward this aim, we developed a programme, IsbpFinder, for the automated design of ISBP markers and adapted three detection methods (melting curve analysis, SNaPshot^® Multiplex System and Illumina BeadArray technology) for high throughput and flexible detection of ISBP or ISBP‐derived SNP markers. We demonstrate that the high level of polymorphism of the ISBPs combined with cost‐effective genotyping methods can be used to efficiently saturate genetic maps, discriminate between elite cultivars, and design tightly linked diagnostic markers for virtually all target loci in the wheat genome. All together, our results suggest that ISBP markers have the potential to lead to a breakthrough in wheat marker‐assisted selection.     

Predicting observed and latent responses to BLUP selection involving logistic variates

Multivariate BLUPs can be derived when data are a mixture of continuous traits and observed discrete traits controlled by logistic latent traits. Algorithms were developed for predicting discrete responses to BLUP selection, and latent responses when the selection process included additional culling on scores. These algorithms were Taylor expansions using well-known expressions such as the probabilities and the two first moments of the truncated multinormal distribution, after appropriate re-parametrizations. They were compared to very accurate quadrature integrations. The test examples were suggested by a situation found in chickens where selection can involve body weight and leg deformity described by two logistic latent variates. Quadratic Taylor expansions generally provided a good accuracy. Therefore, they could be recommended when quadrature methods are too demanding, e.g., for complex breeding schemes.     

Effect of linkage on the control of inbreeding in selection programmes

Selection and mating methods for controlling inbreeding in selection programmes are based on relationships obtained from pedigrees. The efficiency of these methods has always been tested by studies using genetic models of independent loci. However, under linkage the rate of inbreeding obtained from pedigrees can be different from the probability of identity by descent of genes. We simulated a quantitative trait under artificial selection controlled by a large number of genes spread on genome regions of different sizes. A method to control inbreeding based on minimising the average coancestry of selected individuals with a restriction in the loss of selection response, and a mating procedure to control inbreeding were applied. These methods, that use coancestry relationships, were not effective in controlling inbreeding when the genome sizes were smaller than five morgans or so. However, for larger genome sizes the methods were sufficiently efficient. For very tight linkage, methods that utilise molecular information from markers should be used. We finally discuss the effects of the selection of individual major genes on the neutral variability of adjacent genome regions.     

基因Dx5+Dy10的分子标记选择对后代产量分布的影响

对利用分子标记筛选出两个组合的不同世代不同摹因Dx5 Dy10构成类型随机群体的产量分布进行了研究,结果表明,在杂交后代和回交后代中,单株、株行或株系在上下代和同一世代不同基因组成类型之间的产量分布特性基本一致;同一组合相同世代不同基凶类型之间的随机群体平均产量非常接近,无显著差异。早代目标基因分子标记选育不会改变当代和后代产量的分布;能否在品质性状筛选同时获得产量潜力较高的材料,关键在于能否从优质后代群体中选择出丰产潜力较高的材料;同时也与亲本产量潜力的高低密切相关。在改良高产小麦品种品质性状中,回交法比杂交法更有利。     

Mating animals by minimising the covariance between ancestral contributions generates less inbreeding without compromising genetic gain in breeding schemes with truncation selection

We reasoned that mating animals by minimising the covariance between ancestral contributions (MCAC mating) will generate less inbreeding and at least as much genetic gain as minimum-coancestry mating in breeding schemes where the animals are truncation-selected. We tested this hypothesis by stochastic simulation and compared the mating criteria in hierarchical and factorial breeding schemes, where the animals were selected based on breeding values predicted by animal-model BLUP. Random mating was included as a reference-mating criterion. We found that MCAC mating generated 4% to 8% less inbreeding than minimum-coancestry mating in the hierarchical and factorial breeding schemes without any loss in genetic gain. Moreover, it generated upto 28% less inbreeding and about 3% more genetic gain than random mating. The benefits of MCAC mating over minimum-coancestry mating are worthwhile because they can be achieved without extra costs or practical constraints. MCAC mating merely uses pedigree information to pair the animals more appropriately and is clearly a worthy alternative to minimum-coancestry mating and probably any other mating criterion. We believe, therefore, that MCAC mating should be used in breeding schemes where pedigree information is available.     

以木糖异构酶基因为筛选标记的玉米遗传转化

利用木糖异构酶基因作为筛选标记可以在含有不同浓度木糖的培养基上筛选出玉米再生植株,其中50％-100％木糖浓度的总体筛选效果较好,但不同玉米基因型之间筛选的最佳浓度差异很大。通过DNA点杂交、PCR及PCR．Southern印记法检测表明,木糖异构酶基因已经整合到转基因植株中。以木糖作为筛选剂,可以减小潜在的生物安全隐患。     

与苹果Co基因紧密连锁的RAPD标记的筛选及其SCAR标记转换

以短枝富士(Spur Fuji)X舞姿(Telamon)的105株F1群体为试材,利用RAPD技术,结合集群分类分析法(BSA)进行了苹果柱型基因(Co)分子标记的研究。通过对300条随机引物的筛选,获得一个与Co基因紧密连锁的RAPD标记S1142682,连锁距离为2．86cM。对该标记片段进行序列测定,然后根据序列特点设计了4条特异引物(其中正向引物与反向引物各两条)。PCR结果显示,这4条引物的4种组合都可以扩增出柱型性状的特征带。选其中之一进行群体上的分析,结果表明该SCAR标记特征带与柱型性状的共分离行为与原RAPD标记表现一致。可见,此组合的引物可以作为该SCAR标记的特异引物。通过对S1142682标记片段序列分析发现,在 45～ 251区域含有一个可编码68个氨基酸残基的ORF。