Mapping QTLs with epistatic effects and QTL×environment interactions for plant height using a doubled haploid population in cultivated wheat

Quantitative trait loci （QTLs） for plant height in wheat （Triticum aestivum L.） were studied using a set of 168 doubled haploid （DH） lines, which were derived from the cross Huapei 3/Yumai 57. A genetic linkage map was constructed using 283 SSR and 22 EST-SSR markers. The DH population and the parents were evaluated for wheat plant height in 2005 and 2006 in Tai＇an and 2006 in Suzhou. QTL analyses were performed using the software of QTLNetwork version 2.0 based on the mixed linear model. Four additive QTLs and five pairs of epistatic effects were detected, which were distributed on chromosomes 3A, 4B, 4D, 5A, 6A, 7B, and 7D. Among them, three additive QTLs and three pairs of epistatic QTLs showed QTL×environment interactions （QEs）. Two major QTLs, Qph4B and Qph4D, which accounted for 14.51% and 20.22% of the phenotypic variation, were located similar to the reported locations of the dwarfing genes Rhtl and Rht2, respectively. The Qph3A-2 with additive effect was not reported in previous linkage mapping studies. The total QTL effects detected for the plant height explained 85.04% of the phenotypic variation, with additive effects 46.07%, epistatic effects 19.89%, and QEs 19.09%. The results showed that both additive effects and epistatic effects were important genetic bases of wheat plant height, which were subjected to environmental modifications, and caused dramatic changes in phenotypic effects. The information obtained in this study will be useful for manipulating the QTLs for wheat plant height by molecular marker-assisted selection （MAS）.

Phenotypic Expression of Whitebacked Planthopper Resistance in the Newly Established japonica/indica Doubled Haploid Rice Population

A new doubled haploid (DH) rice population was established from a cross between WBPH-resistant japonica Chunjiang 06 (CJ-06) and susceptible indica TN1. Sucking inhibitory and ovicidal resistance of the DH rice lines were evaluated on the basis of non-preference response of WBPH immigrants and honeydew excretion by WBPH females, and appearance of watery lesions in the necrotic discoloration of leaf sheaths ovipositied by WBPH,respectively. Both the major gene resistance to WBPH, sucking inhibitory and ovicidal resistance, showed 1 (resistant): 1 (susceptible) segregation ratio in the DH population. Relative density of WBPH populations and damage scores in the DH population indicated combined functions of both the major resistance genes as well as QTLs affecting the host plant response to WBPH infestations. Thus, the newly developed CJ-06/TN1 DH population could be a useful material to analyze major genes and QTLs for WBPH resistance in japonica rice.

Differential Expression of Whitebacked Planthopper Resistance in the japonica/indica Doubled Haploid Rice Population under Field Evaluation and Seedbox Screening Test

Whitebacked planthopper (WBPH) -resistance in a japonica / indica doubled haploid (DH) rice population established from a cross between WBPH-resistant japonica Chun]iang 06 and susceptible indica TN1, was comparatively evaluated through a field experiment based on the WBPH immigrant density and standardized seedbox screening test (SSST). All the susceptible DH lines in the field experiment behaved accordingly in SSST. However, 35 of resistant 66 lines (53%) in the field, were categorized to susceptible groups in SSST. Likewise, there were no significant differences in WBPH immigrant densities among 70 DH lines that were highly resistant to susceptible in SSST. The results revealed that SSST could not evaluate properly WBPH resistance in the DH lines. Four QTLs for WBPH-resistance phenotyped by the immigrant density were detected on chromosomes 2, 3, 4, and 11. Of them, the QTL on chromosome 4 was the most effective (LOD 21.8, variance 78%). Five QTLs associated with seedling mortality were mapped on chromosomes 2, 3, 4, 5 and 6. In addition to the QTL (LOD 10.5, variance 68%) on chromosome 4, there was another major QTL (LOD 12.7, variance 71%) located on chromosome 5, which was SSST-specific but might be irrespective of the WBPH resistance traits.

Detection of QTLs with Additive Effects, Epistatic Effects, and QTL × Environment Interactions for Zeleny Sedimentation Value Using a Doubled Haploid Population in Cultivated Wheat

In order to understand the genetic basis for Zeleny sedimentation value （ZSV） of wheat, a doubled haploid （DH） population Huapei 3 × Yumai 57 （Yumai 57 is superior to Huapei 3 for ZSV）, and a linkage map consisting of 323 marker loci were used to search QTLs for ZSV. This program was based on mixed linear models and allowed simultaneous mapping of additive effect QTLs, epistatic QTLs, and QTL x environment interactions （QEs）. The DH population and the parents were evaluated for ZSV in three field trials. Mapping analysis produced a total of 8 QTLs and 2 QEs for ZSV with a single QTL explaining 0.64-14.39% of phenotypic variations. Four additive QTLs, 4 pairs of epistatic QTLs, and two QEs collectively explained 46.11% of the phenotypic variation （PVE）. This study provided a precise location of ZSV gene within the Xwmc 93 and GluD1 interval, which was designated as Qzsv-1D. The information obtained in this study should be useful for manipulating the QTLs for ZSV by marker assisted selection （MAS） in wheat breeding programs.

Constrained Optimization Algorithm Based on Double Populations

In order to improve the distribution and convergence of constrained optimization algorithms,this paper proposes a constrained optimization algorithm based on double populations. Firstly the feasible solutions and infeasible solutions are stored separately through two populations,which can avoid direct comparison between them. The usage of efficient information carried by the infeasible solutions will enlarge exploitation scope and strength diversity of populations. At the same time,adopting the presented concept of constraints domination to update the infeasible set may keep good variety of population and give consideration to convergence. Also the improved mutation operation is employed to further raise the diversity and convergence.The suggested algorithm is compared with 3 state- of- the- art constrained optimization algorithms on standard test problems g01- g13. Simulation results show that the presented algorithm has certain advantages than other algorithms because it can ensure good convergence accuracy while it has good robustness.

Mapping QTLs for Drought Tolerance at Seedling Stage in Rice Using Doubled Haploid Population

QTLs for drought tolerance at the rice seedling stage were analyzed using a doubled haploid （DH） population consisted of 251 lines from the cross between a japonica parent Maybelle and an indica parent Baiyeqiu. A genetic linkage map with 226 SSR marker loci was constructed. Single-locus analysis following composite interval mapping （CIM） detected a total of five QTLs located on five different chromosomes of rice. Four QTLs were also detected following two-locus analysis, resolving two pairs of epistatic QTLs （E-QTI_s） with positive and additive genetic effects. The results indicated that the alleles from the parent Baiyeqiu contributed DH population to improve drought tolerance at the seedling stage.

Dynamic Self-Adaptive Double Population Particle Swarm Optimization Algorithm Based on Lorenz Equation

In order to improve some shortcomings of the standard particle swarm optimization algorithm, such as premature convergence and slow local search speed, a double population particle swarm optimization algorithm based on Lorenz equation and dynamic self-adaptive strategy is proposed. Chaotic sequences produced by Lorenz equation are used to tune the acceleration coefficients for the balance between exploration and exploitation, the dynamic self-adaptive inertia weight factor is used to accelerate the converging speed, and the double population purposes to enhance convergence accuracy. The experiment was carried out with four multi-objective test functions compared with two classical multi-objective algorithms, non-dominated sorting genetic algorithm and multi-objective particle swarm optimization algorithm. The results show that the proposed algorithm has excellent performance with faster convergence rate and strong ability to jump out of local optimum, could use to solve many optimization problems.

Qualitative Properties and Numerical Solution of the Kolmogorov-Fisher Type Biological Population Task with Double Nonlinear Diffusion

In the present work we study the global solvability of the Kolmogorov-Fisher type biological population task with double nonlinear diffusion and qualitative properties of the solution of the task based on the self-similar analysis. In additional, in this paper we consider the model of two competing population with dual nonlinear cross-diffusion.

Gametic selection in a doubled haploid population derived from anther culture of indica/japonica hybrid of Oryza Sativa L.

It is one of the key problems for application ofanther culture in hybrid breeding, geneticanalysis, and molecular mapping whether thedoubled haploid (DH) population derived fromanther culture of rice crosses represents a ran-dom array of the microspore population, i.e.whether gametic selection occurs in androgene-sis. A DH population including 132 lines de-

Resistance Performance to Whitebacked Planthopper in Different Phenotypes of Japonica/Indica Doubled Haploid Rice Lines

Field performance of whitebacked planthopper （WBPH）-resistance of four phenotypes was evaluated in Chunjiang 06 （C J-06） / TN1 DH rice lines, which were expressed by different combinations of sucking inhibitory and ovicidal traits inherited independently from C J-06. WBPH established the highest populations in susceptible DH lines that had neither sucking inhibitorynor ovicidal resistance. Both immigration and subsequent population levels were kept below the damage-causing density in the sucking inhibitory DH lines even under a WBPH outbreak. WBPH could not build up populations in the DH lines having both the sucking inhibitory and ovicidal resistance. Although WBPH immigrated preferentially to non-sucking inhibitory DH lines with ovicidal resistance, subsequent population buildup was significantly suppressed. It was concluded that the differential performance to WBPH-resistance in CJ-06 / TN1 DH lines was primarily due to the sucking inhibitory trait, and complementarity to the ovicidal trait.

Properties of Solutions of Kolmogorov-Fisher Type Biological Population Task with Variable Density

In this paper, we discussed population model of two competing populations with non-linear double diffusion and variable density which described by nonlinear system of competing individuals. We identify new properties, such as finite speed of propagation, and localization of the outbreaks in a specific area.

Formula for Determining Number of Basic Seedlings at Scattered-Planting with Seedling Dry-Raised on Plastic Trays in Double-Season Rice

The tiller emergence in seedling nursery beds and field, and panicle formation in the field were investigated under scattered-planting with seedling dry-raised on plastic trays in double-season rice. A significant difference was noted in the non-synchronously-emerged tillers （the tillers that formed from latent buds and did not emerge following the normal tillering law on seedling nursery beds and recovered to grow after scattered-planting or transplanting） as well as the percentage of the available synchronously-emerged tillers between seedlings raised on plastic trays under dry-land conditions （DPT） and seedlings raised on nursery beds under wetland conditions （WB）. The seedlings under DPT had some non-synchronously-emerged tillers, but those under WB had not. Therefore, the traditional formula for determining the number of rice seedlings was improved, and the formula for determining the number of basic seedlings under scattered planting with DPT in double-season rice was introduced. For early rice, it was X=Y/{（I＋t1r1）[1＋（N-n-SN）Rr2]＋（SN-3-t1）R2r5}, and for late rice, it was X=Y/{（1＋t1r1）[1＋（N-n-SN）Rr2]＋（N-n-SN-3）Rr2R1r3＋（SN-3-t1）R2r5}. Where, X represents reasonable number of basic seedlings per unit area at scattered-planting; Y, number of fitting panicles per unit area; t1, total number of tillers per plant; r1, percentage of the total available tillers; N, total number of leaves of the main culm; n, total number of elongated internodes in the main culm; SN, seedling leaf ages at scattered-planting; R, percentage of the primary tillers emerged in available node-position; r2, percentage of the available primary tillers; R1, percentage of the secondary tillers in the field （except the secondary tillers of the seedlings）; r3, percentage of the available secondary tillers; R2, percentage of the asynchronously-emerged tillers after scattered-planting; r5, percentage of the available non-synchronously-emerged tillers after scattered-planting.

甘蓝型油菜亚麻酸含量性状QTL定位与候选基因分析

为探究甘蓝型油菜亚麻酸含量性状相关的QTL,以KN群体为试验材料,通过连续7 a的油菜种子亚麻酸含量表型数据,并结合KN高密度遗传连锁图谱采用复合区间作图法对油菜亚麻酸含量QTL进行定位研究。结果表明,共鉴定到72个亚麻酸含量QTL,主要分布在10条染色体上,其中A08染色体上的亚麻酸含量QTL最多有18个,A10和C03染色体上QTL数量次之,均有11个QTL,单个QTL可解释的表型变异范围为2.67%~17.26%。在A08染色体上鉴定到3个亚麻酸含量主效QTL,包括cqC18:3-A8-1、cqC18:3-A8-3和cqC18:3-A8-4。通过对区间内的基因进行基因注释和分析共得到11个亚麻酸含量相关的候选基因。

Linkage Map Construction and Quantitative Trait Loci Analysis for Bolting Based on a Double Haploid Population of Brassica rapa

Early bolting of Chinese cabbage （Brassica rapa L.） during spring cultivation often has detrimental effects on the yield and quality of the harvested products. Breeding late bolting varieties is a major objective of Chinese cabbage breeding programs. In order to analyze the genetic basis of bolting traits, a genetic map of B. rapa was constructed based on amplified fragment-length poiymorphism （AFLP）, sequence-related amplified poiymorphism （SRAP）, simple sequence repeat （SSR）, random amplification of polymorphic DNA （RAPD）, and isozyme markers. Marker analysis was carried out on 81 double haploid （DH） lines obtained by microspore culture from F1 progeny of two homozygous parents： B. rapa L. ssp. pekinensis （BY） （an extra-early bolting Chinese cabbage line） and B. rapa L. ssp. rapifera （MM） （an extra-late bolting European turnip line）. A total of 326 markers including 130 AFLPs, 123 SRAPs, 16 SSRs, 43 RAPDs and 14 isozymes were used to construct a linkage map with 10 linkage groups covering 882 cM with an average distance of 2.71 cM between loci. The bolting trait of each DH line was evaluated by the bolting index under controlled conditions. Quantitative trait loci （QTL） analysis was conducted using multiple QTL model mapping with MapQTL5.0 software. Eight QTLs controlling bolting resistance were identified. These QTLs, accounting for 14.1% to 25.2% of the phenotypic variation with positive additive effects, were distributed into three linkage groups. These results provide useful information for molecular marker-assisted selection of late bolting traits in Chinese cabbage breeding programs.

Mapping QTLs for heading synchrony in a doubled haploid population of rice in two environments

Simultaneous heading of plants within the same rice variety, also refer to heading synchrony, is an important factor that affects simultaneous ripening of the variety. Understanding of the genetic basis of heading synchrony may contribute to molecular breeding of rice with simultaneous heading and ripening. In the present study, a doubled haploid （DH） population, derived from a cross between Chunjiang 06 and TN1 was used to analyze quantitative trait locus （QTL） for heading synchrony related traits, i.e., early heading date （EHD）, late heading date （LHD）, heading asynchrony （HAS）, and tiller number （PN）. A total of 19 QTLs for four traits distributed on nine chromosomes were detected in two environments. One QTL, qHAS-8 for HAS, explained 27.7% of the phenotypic variation, co-located with the QTLs for EHD and LHD, but it was only significant under long-day conditions in Hangzhou, China. The other three QTLs, qHAS-6, qHAS-9, and qHAS-10, were identified under short-day conditions in Hainan, China, each of which explained about 11% of the phenotypic variation. Two of them, qHAS-6 and qHAS-9, were co-located with the QTLs for EHD and LHD. Two QTLs, qPN-4 and qPN-5 for PN, were detected in Hangzhou, and qPN-5 was also detected in Hainan. However, none of them was co-located with QTLs for EHD, LHD, and HAS, suggesting that PN and HAS were controlled by different genetic factors. The results of this study can be useful in marker assisted breeding for improvement of heading synchrony.

Identification of Quantitative Trait Loci for Grain Appearance and Milling Quality Using a Doubled-Haploid Rice Population

Improving grain quality, which is composed primarily of the appearance of the grain and its cooking and milling attributes, is a major objective of many rice-producing areas in China. In the present study, we conducted a marker-based genetic analysis of the appearance and milling quality of rice （Oryza sativa L.） grains using a doubled-haploid population derived from a cross between the indica inbred Zhenshan 97 strain and the japonica inbred Wuyujing 2 strain. Quantitative trait locus （QTL） analysis using a mixed linear model approach revealed that the traits investigated were affected by one to seven QTLs that individually explained 4.0%-30.7% of the phenotypic variation. Cumulatively, the QTL for each trait explained from 12.9% to 61.4% of the phenotypic variation. Some QTLs tended to have a pleiotropic or location-linked association as a cause of the observed phenotypic correlations between different traits. Improvement of the characteristics of grain appearance and grain weight, as well as an improvement in the milling quality of rice grains, would be expected by a recombination of different QTLs using marker-assisted selection.

A NOVEL OPTIMIZATION APPROACH-FREE SEARCH WITH DOUBLE POPULATIONS

In this paper,an improved optimization approach,free search with double populations(FSDP)which is based on free search(FS)algorithm,is proposed.Comparing to FS algorithm,FSDP preserves the sub-optimal solutions and adopts elitist strategy in the searching process,which effectively avoids falling into local optimum and improves the convergence speed and the search accuracy.Simulation results show that FSDP has a better comprehensive performance over FS,PSO and GA.

豫北两熟区不同夏播作物对后茬冬小麦中后期群体微环境及产量的影响

为探讨不同夏播作物前茬对后茬冬小麦生长和产量的影响,在河南省新乡市获嘉县开展田间二因素试验,设置两个不同施肥水平(常规施肥和不施氮肥)和三种夏播作物前茬(玉米、大豆和花生),分析小麦拔节期至成熟期叶面积指数(LAI)、叶夹角(LA)、光合有效辐射(PAR)、叶片叶绿素含量(SPAD)、叶绿素荧光(F_(v)/F_(m)),以及土壤含水量(SWC)、土壤温度(Ts)和土壤呼吸速率(Rs)变化,并在成熟期测定小麦产量及其构成因素。结果表明,与常规施肥(CK)相比,不施氮肥条件下不同前茬的小麦LA略增,而LAI、IPAR、SPAD、F_(v)/F_(m)、SWC、Ts和Rs均有所降低。不施氮肥条件下,花生前茬的小麦LAI、IPAR、SPAD、F_(v)/F_(m)、SWC、Ts和Rs均显著低于其他两种前茬(P<0.05),其中花生、大豆和玉米前茬的SWC较CK的降幅分别为13.56%、13.39%和10.77%。与CK相比,不施氮肥条件下,花生前茬的小麦LA较CK的增幅在3种前茬中居中,小麦株型较为紧凑,有利于改善植株下层光合辐射,为群体生长创造良好的光合和土壤条件,其产量较玉米和大豆前茬分别高20.0%和21.9%;玉米前茬的整体表现不如大豆和花生前茬,但其和花生前茬的小麦千粒重和群体数均较高,因而产量居中;大豆前茬的小麦结实小穗数和干物质量较高,但其小麦千粒重较低,最终籽粒产量也较低。综合来看,在两熟种植模式中,选用花生作为冬小麦的前茬作物是豫北地区一年两熟区作物配置的一种较优选择。

人口普查遗漏的组合式估计方法

以人口普查标准时点上的人口总体(全国、全国以下各行政区)为研究对象,研究如何利用对总体登记的普查人口名单和覆盖调查人口名单构造的组合式遗漏估计量估计人口普查遗漏人口数。目前各国政府统计部门在人口普查遗漏估计中主要使用单重遗漏估计量,但该方法未包括同时遗漏于这两份调查人口名单的双重遗漏人口,低估了总体普查遗漏人口数。组合式遗漏估计量除了包括单重遗漏人口外,还包括了双重遗漏人口,避免了单重遗漏估计量的缺陷。采取抽样估计和数理模型相结合的方法研究单重遗漏估计量、双重遗漏估计量和组合式遗漏估计量,理论和数据分析结果表明:组合式遗漏估计量在抽样估计精度和遗漏人口数估计上优于单重遗漏估计量,尤其是在分析双重遗漏人口特征和改进未来人口普查登记工作等方面;在使用刀切法近似计算总体的组合式遗漏估计量的抽样方差时,不能忽视等概率人口层之间的协方差,否则可能低估或高估其抽样方差;单重遗漏估计量和组合式遗漏估计量属于有偏估计量,要使用均方误差比较其估计精度。本文创新之处在于,利用原始数据全面演示了单重遗漏估计量、双重遗漏估计量和组合式遗漏估计量及其抽样方差估计量等的详细计算过程,同时讨论了其统计性质,尤其是利用设置的数据模拟了有偏性,有助于中国人口普查遗漏估计方案的科学制定及估计精度的提高。

双种群协同演化的改进蜜獾算法

针对蜜獾算法存在的局部搜索能力不足、易陷入局部最优值等问题,提出一种双种群协同演化的改进蜜獾算法。在初始化阶段采用Cubic混沌映射对种群进行初始化,扩大可行解的搜索范围并提高种群的分布均衡性;引入融合黏菌算法和蜜獾算法的双种群优化机制,依托两者的更新优势协同推进个体逼近目标位置,进而提高整个算法的搜索效率和优化性能;采用柯西随机反向扰动策略对蜜獾种群最优位置进行扰动,以提高算法跳出局部最优的能力。通过评估单一策略的改进有效性实验、与七种对比算法的不同高维实验以及Wilcoxon秩和检验,结果表明该算法具有良好的收敛精度和求解速度。最后将改进算法应用于压缩弹簧设计和压力容器设计问题,进一步验证了改进策略的有效性及该算法的工程实用性。