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1.
应用微卫星标记鉴别水稻籼粳亚种   总被引:57,自引:2,他引:55  
应用70个微卫星标记分析了3个籼稻测验种和3个粳稻测验种的多态性,发现其中36个标记可以区分籼粳测验种。再以18个籼粳品种进一步筛选,找到了分布于12条染色体的21个籼粳特异性微卫星标记。在这21个标记中,20个在籼粳亚种间带型相异,其中7个在亚种内带型一致,13个在亚种内带型不一致;1个标记在12个籼稻品种和1个粳稻品种检测到相同的带型,其余11个粳稻品种具有另一种带型。微卫星标记和RFLP标记检测籼粳亚种不仅具有一致性,而且还有互补性。 Abstract:Six indica and japonica testers were assayed using 70 microsatellite markers.Thirty-six markers distinguishing indicas from japonicas were detected.By further-screening among 18 indica and japonica varieties,21 markers distributed on 12 rice chromosomes were found to be indica-japonica differentiated.No indica varieties shared same patterns with any japonica varieties at 20 marker loci,of which identical patterns were observed within subspecies at 7 loci while within-subspecies variations were observed at 13 loci.At the remaining locus,12 indica and 1 japonica varieties had the same allele,while other 11 japonica varieties had another allele.It also showed that SSLP was not only consistent,but also complementary,to RFLP for the subspecies identification.  相似文献   

2.
The molecular evolution of cultivated rice Oryza sativa L. has long been a subject of rice evolutionists. To investigate genetic diversity within and differentiation between the indica and japonica subspecies, 22 accessions of indica and 35 of japonica rice were examined by five microsatellite loci from each chromosome totalling 60 loci. Mean gene diversity value in the indica rice (H=0.678) was 1.18 times larger than in the japonica rice (H=0.574). Taking the sampling effect into consideration, average allele number in the indica rice was 1.40 times higher than that in the japonica rice (14.6 vs 10.4 per variety). Chromosome-based comparisons revealed that nine chromosomes (1, 2, 3, 4, 5, 8, 9, 10 and 11) harboured higher levels of genetic diversity within the indica rice than the japonica rice. An overall estimate of F(ST) was 0.084-0.158, indicating that the differentiation is moderate and 8.4-15.8% of the total genetic variation resided between the indica and japonica groups. Our chromosome-based comparisons further suggested that the extent of the indica-japonica differentiation varied substantially, ranging from 7.62% in chromosome 3 to 28.72% in chromosome 1. Cluster analyses found that most varieties formed merely two clusters for the indica and japonica varieties, in which two japonica varieties and five indica varieties were included in the counterpart clusters, respectively. The 12 chromosome-based trees further showed that 57 rice varieties cannot be clearly clustered together into either the indica or japonica groups, but displayed relatively different clustering patterns. The results suggest that the process of indica japonica differentiation may have proceeded through an extensive contribution by the alleles of the majority in the rice genome.  相似文献   

3.
Genetic organization of isozyme variation in rice (Oryza sativa L.) was investigated based on 17 polymorphic isozyme loci using a sample of 511 accessions of worldwide origin. The genetic diversity within the species was very high (H=0.36 with 4.82 alleles per locus), as compared with most selfing plant species. Three diversity centers were detected for isozyme variation including South Asia, China and Southeast Asia. The accessions were classified into three well-differentiated cultivar groups corresponding to the indica and japonica subspecies, and a new unnamed group. Variation within the cultivar groups accounted for 80% of the total isozyme variation. Within-country variation accounted for 58% of the total variation while among-region and among-country variation within the cultivar groups accounted for only 14% and 8% of the total variation. Analyses using log-linear models revealed that pronounced non-random associations between and among alleles at many unlinked isozyme loci were organized in a non-hierarchical pattern, and subspecific and macro-geographic differentiation was much more pronounced in multilocus phenotype frequencies than in allelic frequencies at individual loci. These results suggest that selection on multilocus gene complexes was largely responsible for the maintenance of the extensive isozyme variation within the species and the indica-japonica differentiation. Our results further suggest the independent domestication of indica and japonica, the dual origins of the indica rice from China and South Asia (India), and the differentiation of the ecotypes ’javanica’ and the ’temperate japonica’ within the japonica subspecies. Received: 5 August 1999 / Accepted: 13 December 1999  相似文献   

4.
香稻资源遗传多样性的比较   总被引:4,自引:0,他引:4  
利用60个水稻SSR标记, 对来自国内外的370份香稻材料的遗传多样性进行了比较分析。结果共检测到361个等位基因, 每个位点的等位基因变幅为2~10个, 平均Nei基因多样性指数(He)为0.663, 变幅为0.104(RM308)~0.885(RM2634)。籼粳亚种间的遗传多样性具有明显差异, 籼稻的等位基因数和Nei基因多样性指数均高于粳稻。地方品种的遗传多样性高于选育品种, 选育品种等位基因数仅为地方品种的86.5%。分子方差分析表明, 香稻材料中总变异的43.08%是由于亚种间的遗传差异引起的。不同稻区的遗传分化程度总体介于1.69%~14.40%之间。其中, 华南与西南、华中与西南地方品种间遗传差异的分化程度达显著水平。聚类分析将参试材料明显分为籼粳两大类, 同时地域相同(稻区)、相邻省份的香稻材料基本归为同一类群。  相似文献   

5.
Molecular mapping of quantitative trait loci in japonica rice.   总被引:1,自引:0,他引:1  
E D Redo?a  D J Mackill 《Génome》1996,39(2):395-403
Rice (Oryza sativa L.) molecular maps have previously been constructed using interspecific crosses or crosses between the two major subspecies: indica and japonica. For japonica breeding programs, however, it would be more suitable to use intrasubspecific crosses. A linkage map of 129 random amplified polymorphic DNA (RAPD) and 18 restriction fragment length polymorphism (RFLP) markers was developed using 118 F2 plants derived from a cross between two japonica cultivars with high and low seedling vigor, Italica Livorno (IL) and Labelle (LBL), respectively. The map spanned 980.5 cM (Kosambi function) with markers on all 12 rice chromosomes and an average distance of 7.6 cM between markers. Codominant (RFLP) and coupling phase linkages (among RAPDs) accounted for 79% of total map length and 71% of all intervals. This map contained a greater percentage of markers on chromosome 10, the least marked of the 12 rice chromosomes, than other rice molecular maps, but had relatively fewer markers on chromosomes 1 and 2. We used this map to detect quantitative trait loci (QTL) for four seedling vigor related traits scored on 113 F3 families in a growth chamber slantboard test at 18 degrees C. Two coleoptile, five root, and five mesocotyl length QTLs, each accounting for 9-50% of the phenotypic variation, were identified by interval analysis. Single-point analysis confirmed interval mapping results and detected additional markers significantly influencing each trait. About two-thirds of alleles positive for the putative QTLs were from the high-vigor parent, IL. One RAPD marker (OPAD13720) was associated with a IL allele that accounted for 18.5% of the phenotypic variation for shoot length, the most important determinant of seedling vigor in water-seeded rice. Results indicate that RAPDs are useful for map development and QTL mapping in rice populations with narrow genetic base, such as those derived from crosses among japonica cultivars. Other potential uses of the map are discussed. Key words : QTL mapping, RAPD, RFLP, seedling vigor, japonica, Oryza sativa.  相似文献   

6.
Yunnan Province is one of the largest centers of genetic diversity of Oryza sativa L. in China, and in the world. Using a genetically representative core collection of 692 rice landraces from Yunnan, the genetic structure, differentiation, and geographic diversity of this rice germplasm were analyzed. The accessions were classified into different populations, according to the model-based structure analysis. Model-based populations were characterized through the reconstruction of a neighbor-joining tree, principal coordinate analysis, and the estimation of morphologic and SSR variations. Finally, the distribution of genetic diversity and differentiation among districts were studied. Seven model-based populations were identified on the basis of the structure analysis. This classification was partly consistent with Ting's 5-level taxonomic system. Differentiation between 2 rice subspecies is the most apparent, with a clearer differentiation between soil-watery ecotypes in japonica than in indica; however, differentiation among seasonal ecotypes in indica is clearer than in japonica. Cropping system and man-made restricted-growth environments could be considered to be the main forces driving the intraspecific differentiation of cultivated rice. It has been suggested that, because it possesses the highest genetic diversity and all the necessary conditions as a center of genetic diversity, the southwest region of Yunnan, encompassing Simao, Lincang, and Xishuangbanna districts, is the center of genetic diversity of Yunnan rice landraces.  相似文献   

7.
Phy 是在长日照条件下抑制水稻开花的关键基因,但目前对水稻PhyB基因的遗传基础还不清楚,研究其分子遗传机制,对于培育光周期适应性广的品种以及扩大水稻种植区域具有重要意义。本研究选择78份亚洲栽培稻(34份籼稻和44份粳稻)及47份野生稻进行测序,对Phy B基因的核苷酸多态性、单倍型进行分析,计算籼稻、粳稻和野生稻的遗传多样性。结果表明,Phy B基因共有28个单倍型,其中有2个高频率的单倍型分别存在于2个栽培稻亚种中。从Network图可以看出栽培稻分为2组(A组和B组),A组栽培稻包括全部的籼稻和4个粳稻个体,B组栽培稻全是粳稻品种。亲缘地理学分析发现,A、B两组栽培稻具有明显不同的地理分布格局,且A组和B组开花时间差异显著,说明Phy B基因的2个高频率单倍型在2个栽培稻亚种中具有区域适应性,Phy B基因在栽培稻中具有明显的驯化信号,随着水稻种植区域的扩大,进化出适应不同地域特有的等位基因,导致开花时间对不同地区的区域适应性及多样性。  相似文献   

8.
采用64个SSR标记对96份云南水稻(Oryza sativa)地方品种和选育品种的遗传多样性进行比较分析。结果发现64个标记都具有多态性,共检测到741个等位基因,每个多态性位点检测到的等位基因数为2—29个,平均11.57个:Nei基因多样性指数(He)范围在0.345(RM321)-0.932(RM1)之间,平均为0.56。水稻品种的遗传多样性并非按地理位置均匀分布,而是在相似系数为0.17的水平上明显分为2个不同类群,即籼稻类群和粳稻类群,且籼粳亚种间的SSR多样性差异不明显,籼稻平均等位基因数(Ap)和Nei基因多样性指数(Ap=10.6,He=0.46)与粳稻品种(Ap=10.7,He=0.48)十分接近,可能与这些品种间存在一定频率的基因交流有关。糯稻和非糯稻在籼稻群和粳稻群中都有表现,没有特别的分布规律。云南栽培稻选育品种与地方稻亲缘关系较近,其遗传基础可能来源于云南水稻地方品种。本研究结果表明,SSR标记能较好地区分云南栽培稻品种,且云南水稻地方品种遗传多样性丰富,存在大量的优质性状可供育种实践选择。  相似文献   

9.
云南栽培稻种SSR 遗传多样性比较   总被引:13,自引:0,他引:13  
采用64个SSR标记对96份云南水稻(Oryz a sativa)地方品种和选育品种的遗传多样性进行比较分析。结果发现64个标记都具有多态性, 共检测到741个等位基因, 每个多态性位点检测到的等位基因数为2-29个, 平均11.57个; Nei基因多样性指数(He)范围在0.345(RM321)-0.932(RM1)之间, 平均为0.56。水稻品种的遗传多样性并非按地理位置均匀分布, 而是在相 似系数为0.17的水平上明显分为2个不同类群, 即籼稻类群和粳稻类群, 且籼粳亚种间的SSR多样性差异不明显, 籼稻平均等位基因数(Ap)和Nei基因多样性指数(Ap=10.6, He=0.46)与粳稻品种(Ap=10.7, He=0.48)十分接近, 可能与这些品种间存在一定频率的基因交流有关。糯稻和非糯稻在籼稻群和粳稻群中都有表现, 没有特别的分布规律。云南栽培稻选育品种与地方稻亲缘关系较近, 其遗传基础可能来源于云南水稻地方品种。本研究结果表明, SSR标记能较好地区分云南栽培稻品种, 且云南水稻地方品种遗传多样性丰富, 存在大量的优质性状可供育种实践选择。  相似文献   

10.
Understanding how crop species spread and are introduced to new areas provides insights into the nature of species range expansions. The domesticated species Oryza sativa or Asian rice is one of the key domesticated crop species in the world. The island of Madagascar off the coast of East Africa was one of the last major Old World areas of introduction of rice after the domestication of this crop species and before extensive historical global trade in this crop. Asian rice was introduced in Madagascar from India, the Malay Peninsula and Indonesia approximately 800-1400 years ago. Studies of domestication traits characteristic of the two independently domesticated Asian rice subspecies, indica and tropical japonica, suggest two major waves of migrations into Madagascar. A population genetic analysis of rice in Madagascar using sequence data from 53 gene fragments provided insights into the dynamics of island founder events during the expansion of a crop species' geographic range and introduction to novel agro-ecological environments. We observed a significant decrease in genetic diversity in rice from Madagascar when compared to those in Asia, likely the result of a bottleneck on the island. We also found a high frequency of a unique indica type in Madagascar that shows clear population differentiation from most of the sampled Asian landraces, as well as differential exchange of alleles between Asia and Madagascar populations of the tropical japonica subspecies. Finally, despite partial reproductive isolation between japonica and indica, there was evidence of indica/japonica recombination resulting from their hybridization on the island.  相似文献   

11.
Genetic differentiation of wild relatives of rice as assessed by RFLP analysis   总被引:14,自引:0,他引:14  
To study genetic diversity and relationships of wild relatives of rice, 58 accessions of Oryza rufipogon, Oryza nivara, Oryza sativa f. spontanea and the cultivated Oryza sativa, representing a wide range of their distribution, were analyzed using the restriction fragment length polymorphism (RFLP) technique. All 30-used RFLP probes detected polymorphisms among the Oryza accessions, with an average of 3.8 polymorphic fragments per probe. Considerable genetic diversity was scored among the Oryza accessions with a similarity coefficient ranging from 0.28 to 0.93; but the cluster analysis of the accessions did not show an apparent grouping based on the species classification, instead they were scattered randomly in different groups. Noticeably, the Oryza accessions from the same geographic region, or near-by geographic regions, tended to be clustered in the same groups. The indica rice varieties showed relatively high genetic diversity and were scattered in different groups of their wild relatives, but the japonica varieties showed a relatively low variation and formed an independent group. It is concluded from the molecular analytical result that: (1) the four Oryza taxa have a remarkably close relationship and their independent species status need to be carefully reviewed; (2) geographic isolation has played a significant role in the differentiation of the Oryza accessions; therefore, a wide geographic range needs to be covered in collecting wild rice germplasm for ex situ conservation; and (3) the conventional conclusion of indica rice being directly domesticated from its ancestral wild species, and japonica rice being derived from indica, gains support from our data.  相似文献   

12.
Repetitive DNA sequences are useful molecular markers for studying plant genome evolution and species diversity. The authors report the isolation and characterization of repetitive DNA sequences (pOs139) from Oryza sativa cuhivars "Zhaiyeqing". By Southern blot analysis, the authors discovered that pOs139 sequences were organized not only tandemly, but also highly specifc for the AA genome of Oryza genus. Sequence analysis revealed that the clone pOs139 contains a 355 bp repetitive unit. The genomic DNA of 29 Chinese common wild accessions, and 43 cultivated rice accessions, were analyzed by Southern blot with pOs139 as a probe. The results illustrated that there was significant difference in hybridization patterns between japonica and indica subspecies. Hybridization bands of indica subspecies were much more than those of japonica, and the Chinese common wild rice was similar to indica in hybridization patterns. The copy number estimated by dot blot hybridization analysis indicated that a considerable degree of variation existed among different accessions of O. sativa and the Chinese common wild rice. It is interesting to note that japonica subspecies contains relatively low copy numbers of pOs139-related repetitive DNA sequences, while the indica and Chinese common wild rice contain relatively high copy numbers.  相似文献   

13.
Zhang P  Li J  Li X  Liu X  Zhao X  Lu Y 《PloS one》2011,6(12):e27565
The assessment of genetic diversity and population structure of a core collection would benefit to make use of these germplasm as well as applying them in association mapping. The objective of this study were to (1) examine the population structure of a rice core collection; (2) investigate the genetic diversity within and among subgroups of the rice core collection; (3) identify the extent of linkage disequilibrium (LD) of the rice core collection. A rice core collection consisting of 150 varieties which was established from 2260 varieties of Ting's collection of rice germplasm were genotyped with 274 SSR markers and used in this study. Two distinct subgroups (i.e. SG 1 and SG 2) were detected within the entire population by different statistical methods, which is in accordance with the differentiation of indica and japonica rice. MCLUST analysis might be an alternative method to STRUCTURE for population structure analysis. A percentage of 26% of the total markers could detect the population structure as the whole SSR marker set did with similar precision. Gene diversity and MRD between the two subspecies varied considerably across the genome, which might be used to identify candidate genes for the traits under domestication and artificial selection of indica and japonica rice. The percentage of SSR loci pairs in significant (P<0.05) LD is 46.8% in the entire population and the ratio of linked to unlinked loci pairs in LD is 1.06. Across the entire population as well as the subgroups and sub-subgroups, LD decays with genetic distance, indicating that linkage is one main cause of LD. The results of this study would provide valuable information for association mapping using the rice core collection in future.  相似文献   

14.
Gao LZ  Innan H 《Genetics》2008,179(2):965-976
The origins of the Asian cultivated rice Oryza sativa from its wild ancestor O. rufipogon have been debated for decades. The question mainly concerns whether it originated monophyletically or polyphyletically. To shed light on the origins and demographic history of rice domestication, we genotyped a total of 92 individual plants from the two O. sativa subspecies and O. rufipogon for 60 microsatellites. An approximate Bayesian method was applied to estimate demographic parameters for O. rufipogon vs. O. sativa ssp. indica and O. rufipogon vs. O. sativa ssp. japonica. We showed that the japonica subspecies suffered a more severe bottleneck than the indica subspecies and thus a greater loss of genetic variation during its domestication. Across microsatellite loci there is a significant positive correlation in the reduction of genetic diversity between the two subspecies. The results suggest that completely independent domestication of indica and japonica subspecies may not explain our data and that there is at least partial sharing of their ancestral populations and/or recent gene flow between them.  相似文献   

15.
Temporal changes in SSR allelic diversity of major rice cultivars in China   总被引:1,自引:0,他引:1  
Forty simple sequence repeats (SSRs) were used to assess the changes of diversity in 310 major Chinese rice cultivars grown during the 1950s-1990s. Of the 40 SSR loci, 39 were polymorphic. A total of 221 alleles were detected with an average of 5.7 alleles per locus (Na). The Nei's genetic diversity index (He) varied drastically among the loci (0.207 to 0.874, mean 0.625). Comparing the temporal changes in Na and He, the cultivars from the 1950s had more alleles and higher He scores than the cultivars from the other four decades. Analysis of molecular variance (AMOVA) indicated that the genetic differentiation among the five decades was not significant in the whole set, but significant within indica and japonica. More changes among the decades were revealed in indica cultivars than in japonica cultivars. Some alleles had been lost in current rice cultivars in the 1990s, occurring more frequently in indica. These results suggest that more elite alien genetic resources should be explored to widen the genetic backgrounds of rice cultivars currently grown in China.  相似文献   

16.
水稻双单倍体群体的分子标记图示基因型分析   总被引:2,自引:2,他引:0  
徐吉臣  徐云碧 《遗传学报》1995,22(5):343-352
利用窄叶青8号(籼稻)/京系17(粳稻)花培产生的双单倍体群体建立了一个包含160个分子标记的遗传连锁图,在此基础上利用HYPERGENE软件建立了52个DH系的图示基因型,并对DH系的亲本基因组比率和染色体的交换重组频率进行了比较分析。结果表明本实验所用的DH群体没有显著偏离正态分布,籼粳稻杂交后代中植株的籼粳表现与同工酶、形态指数和基因组比率的分析结果一致,此外还发现DH群体中出现了大量的交换罕见染色体。利用图示基因型分析发现株高和分子标记RZ978和RG4A相关,生育期和RRK08-1、RG477和RG511相关。本文还就图示基因型分析技术在DH群体的遗传分析和选择育种中的应用进行了讨论.  相似文献   

17.
Molecular markers have been used only rarely to characterize the population genetic structure of nematodes. Published studies have suggested that different taxa may show distinct genetic architectures. Isoenzyme and RAPD markers have been used to investigate geographic variation of Ascaris suum at the level of infrapopulations (nematodes within individual hosts), within localities, and among geographic regions. Independent estimates of genetic differentiation among population samples based on isoenzyme and RAPD data showed similar patterns and substantial correlation. Heterozygote deficiencies within infrapopulations and large values for inbreeding coefficients among infrapopulations suggested that the composition of these populations was not consistent with a model of random recruitment from a large panmictic pool of life-cycle stages. Both isoenzyme and RAPD markers revealed moderate levels of genetic differentiation among samples representing infrapopulations and localities. Of total gene diversity, 9.4% (isoenzyme) and 9.2% (RAPD) was partitioned among infrapopulations. Geographic localities accounted for 7.8% (isoenzyme) and 6.2% (RAPD) of total diversity. Only infrapopulations from the same farm had low levels of differentiation.  相似文献   

18.
It is generally accepted that Oryza rufipogon is the progenitor of Asian cultivated rice (O. sativa). However, how the two subspecies of O. sativa (indica and japonica) were domesticated has long been debated. To investigate the genetic differentiation in O. rufipogon in relation to the domestication of O. sativa, we developed 57 subspecies-specific intron length polymorphism (SSILP) markers by comparison between 10 indica cultivars and 10 japonica cultivars and defined a standard indica rice and a standard japonica rice based on these SSILP markers. Using these SSILP markers to genotype 73 O. rufipogon accessions, we found that the indica alleles and japonica alleles of the SSILP markers were predominant in the O. rufipogon accessions, suggesting that SSILPs were highly conserved during the evolution of O. sativa. Cluster analysis based on these markers yielded a dendrogram consisting of two distinct groups: one group (Group I) comprises all the O. rufipogon accesions from tropical (South and Southeast) Asia as well as the standard indica rice; the other group (Group II) comprises all the O. rufipogon accessions from Southern China as well as the standard japonica rice. Further analysis showed that the two groups have significantly higher frequencies of indica alleles and japonica alleles, respectively. These results support the hypothesis that indica rice and japonica rice were domesticated from the O. rufipogon of tropical Asia and from that of Southern China, respectively, and suggest that the indica-japonica differentiation should have formed in O. rufipogon long before the beginning of domestication. Furthermore, with an O. glaberrima accession as an outgroup, it is suggested that the indica-japonica differentiation in O. ruffpogon might occur after its speciation from other AA-genome species.  相似文献   

19.
In the present study, we tested rice genotypes that included un(der)exploited landraces of Tamil Nadu along with indica and japonica test cultivars to ascertain their genetic diversity structure. Highly polymorphic microsatellite markers were used for generating marker segregation data. A novel measure, allele discrimination index, was used to determine subpopulation differentiation power of each marker. Phenotypic data were collected for yield and component traits. Pattern of molecular differentiation separated indica and japonica genotypes; indica genotypes had two subpopulations within. Landraces were found to have indica genome, but formed a separate subgroup with low linkage disequilibrium. The landraces further separated into distinct group in both hierarchical clustering analysis using neighbour-joining method as well as in the model based population structure analysis. Japonica and the remaining indica cultivars formed two other distinct groups. Linkage disequilibrium observed in the whole population was considerably reduced in subpopulations. Low linkage disequilibrium of landforms suggests their narrow adaptation in local geographical niche. Many population specific alleles could be identified particularly for japonica cultivars and landraces. Association analysis revealed nine marker-trait associations with three agronomic traits, of which 67% were previously reported. Although the testing landraces together with known cultivars had permitted genomewide association mapping, the experiment offers scope to study more landraces collected from the entire geographical region for drawing more reliable information.  相似文献   

20.
A dwarfing gene (allele) sd1-d has been intensively utilized to develop short-culm indica varieties in southeast Asia up to now. Before the first sd1-d-carrying variety IR8 was released, rice researchers had recognized the general tendency that culm length is higher in indica varieties than in temperate-japonica ones. Inter-subspecific difference of the tall (wild-type) allele SD1 at the sd1 locus was examined on the common genetic background, using five isogenic lines developed by substituting sd1-d of the recurrent parent IR36 by SD1s of two indica varieties, two temperate-japonica varieties and one tropical-japonica variety. The two indica -donor isogenic lines had longer culms than the three japonica-donor isogenic lines consistently in two different environmental conditions. Moreover, nonsynonymous single-nucleotide polymorphism between the two subspecies was detected at two sites in Exon 1 and Exon 3 of the sd1 locus. It is demonstrated that the inter-subspecific differentiation of SD1 contributes height difference between indica and japonica. The indica-originating and japonica-originating alleles at the sd1 locus were designated as SD1-in(t) and SD1-ja(t), respectively.  相似文献   

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