The breakdown of genomic ancestry blocks in hybrid lineages given a finite number of recombination sites

When a lineage originates from hybridization genomic blocks of contiguous ancestry from different ancestors are fragmented through genetic recombination. The resulting blocks are delineated by so called junctions, which accumulate with every generation that passes. Modeling the accumulation of ancestry block junctions can elucidate processes and timeframes of genomic admixture. Previous models have not addressed ancestry block dynamics for chromosomes that consist of a finite number of recombination sites. However, genomic data typically consist of informative markers that are interspersed with fragments for which no ancestry information is available. Hence, repeated recombination events may occur between markers, effectively removing existing junctions. Here, we present an analytical treatment of the dynamics of the mean number of junctions over time, taking into account the number of recombination sites per chromosome, population size, genetic map length, and the frequency of the ancestral species in the founding hybrid swarm. We describe the expected number of junctions using equidistant molecular markers and estimate the number of junctions using random markers. This extended theory of junctions thus reflects properties of empirical data and can serve to study the genomic patterns following admixture.     

A high-resolution, intraspecific linkage map of pepper (Capsicum annuum L.) and selection of reduced recombinant inbred line subsets for fast mapping.

A high-resolution, intraspecific linkage map of pepper (Capsicum annuum L.) was constructed from a population of 297 recombinant inbred lines. The parents were the large-fruited inbred cultivar 'Yolo Wonder' and the hot pepper line 'Criollo de Morelos 334', which is heavily used as a source of resistance to a number of diseases. A set of 587 markers (507 amplified fragment length polymorphisms, 40 simple sequence repeats, 19 restriction fragment length polymorphisms, 17 sequence-specific amplified polymorphisms, and 4 sequence tagged sites) were used to generate the map; of these, 489 were assembled into 49 linkage groups (LGs), including 14 LGs with 10 to 60 markers per LG and 35 with 2 to 9 markers per LG. The framework map covered 1857 cM with an average intermarker distance of 5.71 cM. Twenty-three LGs, composed of 69% of the markers and covering 1553 cM, were assigned to 1 of the 12 haploid pepper chromosomes, leaving 26 LGs (304 cM) unassigned. The chromosome framework map built with 250 markers led to a high level of mapping confidence and an average intermarker distance of 6.54 cM. By applying MapPop software, it was possible to select smaller subsets of 141 or 93 most informative individuals with a view to reducing the time and cost of further mapping and phenotyping. To define the smallest number of individuals sufficient for assigning any new marker to a chromosome, subsets from 12 to 45 individuals and a set of 13 markers distributed over all 12 chromosomes were screened. In most cases, the markers were correctly assigned to their expected chromosome, but the accuracy of the map position decreased as the number of individuals was reduced.     

On the determination of recombination rates in intermated recombinant inbred populations

The recurrent intermating of F(2) individuals for some number of generations followed by several generations of inbreeding produces an intermated recombinant inbred (IRI) population. Such populations are currently being developed in the plant-breeding community because linkage associations present in an F(2) population are broken down and a population of fixed inbred lines is also created. The increased levels of recombination enable higher-resolution mapping in IRI populations relative to F(2) populations. Herein we derive relationships, under several limiting assumptions, for determining the expected recombination fraction in IRI populations from the crossover rate per meiosis. These relationships are applicable to situations where the inbreeding component of IRI population development is by either self-fertilization or full-sib mating. Additionally, we show that the derived equations can be solved for the crossover rate per meiosis if the recombination fraction is known for the IRI population. Thus, the observed recombination fraction in any IRI population can be expressed on an F(2) basis. The implications of this work on the expansion of genetic maps in IRI populations and limits for detecting linkage between markers are also considered.     

The effect of population history on the lengths of ancestral chromosome segments

An isolated population is a group of individuals who are descended from a founding population who lived some time ago. If the founding individuals are assumed to be noninbred and unrelated, a chromosome sampled from the population can be represented as a mosaic of segments of the original ancestral types. A population in which chromosomes are made up of a few long segments will exhibit linkage disequilibrium due to founder effect over longer distances than a population in which the chromosomes are made up of many short segments. We study the length of intact ancestral segments by obtaining the expected number of junctions (points where DNA of two distinct ancestral types meet) in a chromosome. Assuming random mating, we study analytically the effects of population age, growth patterns, and internal structure on the expected number of junctions in a chromosome. We demonstrate that the type of growth a population has experienced can influence the expected number of junctions, as can population subdivision. These effects are substantial only when population sizes are very small. We also develop an approximation to the variance of the number of junctions and show that the variance is large.     

Reconstruction of the synthetic W7984 x Opata M85 wheat reference population

Reference populations are valuable resources in genetics studies for determining marker order, marker selection, trait mapping, construction of large-insert libraries, cross-referencing marker platforms, and genome sequencing. Reference populations can be propagated indefinitely, they are polymorphic and have normal segregation. Described are two new reference populations who share the same parents of the original wheat reference population Synthetic W7984 (Altar84/ Aegilops tauschii (219) CIGM86.940) x Opata M85, an F(1)-derived doubled haploid population (SynOpDH) of 215 inbred lines and a recombinant inbred population (SynOpRIL) of 2039 F(6) lines derived by single-plant self-pollinations. A linkage map was constructed for the SynOpDH population using 1446 markers. In addition, a core set of 42 SSR markers was genotyped on SynOpRIL. A new approach to identifying a core set of markers used a step-wise selection protocol based on polymorphism, uniform chromosome distribution, and reliability to create nested sets starting with one marker per chromosome, followed by two, four, and six. It is suggested that researchers use these markers as anchors for all future mapping projects to facilitate cross-referencing markers and chromosome locations. To enhance this public resource, researchers are strongly urged to validate line identities and deposit their data in GrainGenes so that others can benefit from the accumulated information.     

Use of locus-specific AFLP markers to construct a high-density molecular map in barley

 By using 25 primer combinations, 563 AFLP markers segregating in a recombinant inbred population (103 lines, F₉) derived from L94/Vada were generated. The 38 AFLP markers in common to the existing AFLP/RFLP combined Proctor/Nudinka map, one STS marker, and four phenotypic markers with known map positions, were used to assign present AFLP linkage groups to barley chromosomes. The constructed high-density molecular map contains 561 AFLP markers, three morphological markers, one disease resistance gene and one STS marker, and covers a 1062-cM genetic distance, corresponding to an average of one marker per 1.9 cM. However, extremely uneven distributions of AFLP markers and strong clustering of markers around the centromere were identified in the present AFLP map. Around the centromeric region, 289 markers cover a genetic distance of 155 cM, corresponding to one marker per 0.5 cM; on the distal parts, 906 cM were covered by 277 markers, corresponding to one marker per 3.3 cM. Three gaps larger than 20 cM still exist on chromosomes 1, 3 and 5. A skeletal map with a uniform distribution of markers can be extracted from the high-density map, and can be applied to detect and map loci underlying quantitative traits. However, the application of this map is restricted to barley species since hardly any marker in common to a closely related Triticum species could be identified. Received: 16 June 1997 / Accepted: 9 October 1997     

The suitability of restriction fragment length polymorphisms as genetic markers in maize

Summary Strain identification in Zea mays by restriction fragment length polymorphism should be feasible due to the high degree of polymorphism found at many loci. The polymorphism in maize is apparently higher than that currently known for any other organism. Five randomly selected maize inbred lines were examined by Southern filter hybridization with probes of cloned low copy sequences. Typically, several alleles could be distinguished among the inbred lines with any one probe and an appropriately selected restriction enzyme. Despite considerable polymorphism at the DNA level, 16 RFLP markers in three inbred lines of maize were examined for six to 11 generations and found be stable. Mapping of RFLP markers in maize can be accelerated by the use of B-A translocation stocks, which enable localization of a marker to chromosome arm in one generation. The use of recombinant inbred lines in further refinement of the map is discussed.     

Quantitative genetic variance associated with chromosomal markers in segregating populations

Summary Use of chromosomal markers can accelerate genetic progress for quantitative traits in pedigree selection programs by providing early information on Mendelian segregation effects for individual progeny. Potential effectiveness of selection using markers is determined by the amount of additive genetic variance traced from parents to progeny by the markers. Theoretical equations for the amount of additive genetic variance associated with a marker were derived at the individual level and for a segregating population in joint linkage equilibrium. Factors considered were the number of quantitative trait loci linked to the marker, their individual effects, and recombination rates with the marker. Subsequently, the expected amount of genetic variance associated with a marker in a segregating population was derived. In pedigree selection programs in segregating populations, a considerable fraction of the genetic variance on a chromosome is expected to be associated with a marker located on that chromosome. For an average chromosome in the bovine, this fraction is approximately 40% of the Mendelian segregation variance contributed by the chromosome. The effects of interference and position of the marker on this expectation are relative small. Length of the chromosome has a large effect on the expected variance. Effectiveness of MAS is, however, greatly reduced by lack of polymorphism at the marker and inaccuracy of estimation of chromosome substitution effects. The size of the expected amount of genetic variance associated with a chromosomal marker indicates that, even when the marker is not the active locus, large chromosome substitution effects are not uncommon in segregating populations.     

ATG-anchored AFLP (ATG-AFLP) analysis in cotton

Amplified fragment length polymorphism (AFLP) marker system has had broad applications in biology. However, the anonymous AFLP markers are mainly amplified from non-coding regions, limiting their usefulness as a functional marker system. To take advantages of the traditional AFLP techniques, we propose substitution of a restriction enzyme that recognizes a restriction site containing ATG, called ATG-anchored AFLP (ATG-AFLP) analysis. In this study, we chose NsiI (recognizing ATGCAT) to replace EcoRI in combination with MseI to completely digest genomic DNA. One specific adaptor, one pre-selective primer and six selective amplification primers for the NsiI site were designed for ligation and PCR. Six NsiI and eight MseI primers generated a total of 1,780 ATG-AFLP fragments, of which 750 (42%) were polymorphic among four genotypes from two cultivated cotton species (Upland cotton, Gossypium hirsutum and Pima cotton, G. barbadense). The number of ATG-AFLP markers was sufficient to separate the four genotypes into two groups, consistent with their evolutionary and breeding history. Our results also showed that ATG-AFLP generated less number of total and polymorphic fragments per primer combination (2-3 vs. 4-5) than conventional AFLP within Upland cotton. Using a recombination inbred line (RIL) population, 62 polymorphic ATG-AFLP markers were mapped to 19 linkage groups with known chromosome anchored simple sequence repeat (SSR) markers. Of the nine ATG-AFLP fragments randomly chosen, three were found to be highly homologous to cotton cDNA sequences. An in-silico analysis of cotton and Arabidopsis cDNA confirmed that the ATG-anchored enzyme combination NsiI/MseI did generate more fragments than the EcoRI/MseI combination.     

Optimal marker-assisted selection to increase the effective size of small populations

An approach to the optimal utilization of marker and pedigree information in minimizing the rates of inbreeding and genetic drift at the average locus of the genome (not just the marked loci) in a small diploid population is proposed, and its efficiency is investigated by stochastic simulations. The approach is based on estimating the expected pedigree of each chromosome by using marker and individual pedigree information and minimizing the average coancestry of selected chromosomes by quadratic integer programming. It is shown that the approach is much more effective and much less computer demanding in implementation than previous ones. For pigs with 10 offspring per mother genotyped for two markers (each with four alleles at equal initial frequency) per chromosome of 100 cM, the approach can increase the average effective size for the whole genome by approximately 40 and 55% if mating ratios (the number of females mated with a male) are 3 and 12, respectively, compared with the corresponding values obtained by optimizing between-family selection using pedigree information only. The efficiency of the marker-assisted selection method increases with increasing amount of marker information (number of markers per chromosome, heterozygosity per marker) and family size, but decreases with increasing genome size. For less prolific species, the approach is still effective if the mating ratio is large so that a high marker-assisted selection pressure on the rarer sex can be maintained.     

A wheat intervarietal genetic linkage map based on microsatellite and target region amplified polymorphism markers and its utility for detecting quantitative trait loci

Efficient user-friendly methods for mapping plant genomes are highly desirable for the identification of quantitative trait loci (QTLs), genotypic profiling, genomic studies, and marker-assisted selection. SSR (microsatellite) markers are user-friendly and efficient in detecting polymorphism, but they detect few loci. Target region amplification polymorphism (TRAP) is a relatively new PCR-based technique that detects a large number of loci from a single reaction without extensive pre-PCR processing of samples. In the investigation reported here, we used both SSRs and TRAPs to generate over 700 markers for the construction of a genetic linkage map in a hard red spring wheat intervarietal recombinant inbred population. A framework map consisting of 352 markers accounted for 3,045 cM with an average density of one marker per 8.7 cM. On average, SSRs detected 1.9 polymorphic loci per reaction, while TRAPs detected 24. Both marker systems were suitable for assigning linkage groups to chromosomes using wheat aneuploid stocks. We demonstrated the utility of the maps by identifying major QTLs for days to heading and reduced plant height on chromosomes 5A and 4B, respectively. Our results indicate that TRAPs are highly efficient for genetic mapping in wheat. The maps developed will be useful for the identification of quality and disease resistance QTLs that segregate in this population.     

Efficiency of triple test cross for detecting epistasis with marker information

The triple test cross (TTC) is an experimental design for detecting epistasis and estimating the components of genetic variance for quantitative traits. In this paper, we extend the analysis to include molecular information. The statistical power of the mating design was assessed under a model assuming that a finite number of loci affect the trait in question. Formulae are developed for the analysis with or without marker information relating to the recombination fraction between loci, the genetical properties of quantitative trait controlled by the quantitative trait loci (QTL), the linkage phases of the parents and population size. Application of these formulae showed that the recombination fraction between genes and the magnitude and the types of epistasis have important interactions in their effects on power. The results demonstrate that the TTC may have increased power to detect epistasis when marker information is present. However, the simulation experiments show that the standard deviation of the estimated expected mean square was higher with one marker than that with two, whereas the corresponding value without marker information was the lowest. In addition, we demonstrate that the relative position of QTL and markers and the number of markers can both affect the power of epistatic detection.     

A High-Density Genetic Map with Array-Based Markers Facilitates Structural and Quantitative Trait Locus Analyses of the Common Wheat Genome

The large genome and allohexaploidy of common wheat have complicated construction of a high-density genetic map. Although improvements in the throughput of next-generation sequencing (NGS) technologies have made it possible to obtain a large amount of genotyping data for an entire mapping population by direct sequencing, including hexaploid wheat, a significant number of missing data points are often apparent due to the low coverage of sequencing. In the present study, a microarray-based polymorphism detection system was developed using NGS data obtained from complexity-reduced genomic DNA of two common wheat cultivars, Chinese Spring (CS) and Mironovskaya 808. After design and selection of polymorphic probes, 13,056 new markers were added to the linkage map of a recombinant inbred mapping population between CS and Mironovskaya 808. On average, 2.49 missing data points per marker were observed in the 201 recombinant inbred lines, with a maximum of 42. Around 40% of the new markers were derived from genic regions and 11% from repetitive regions. The low number of retroelements indicated that the new polymorphic markers were mainly derived from the less repetitive region of the wheat genome. Around 25% of the mapped sequences were useful for alignment with the physical map of barley. Quantitative trait locus (QTL) analyses of 14 agronomically important traits related to flowering, spikes, and seeds demonstrated that the new high-density map showed improved QTL detection, resolution, and accuracy over the original simple sequence repeat map.     

Isolation and mapping of a new set of 129 RFLP markers in Arabidopsis thaliana using recombinant inbred lines

A new collection of 129 Arabidopsis thaliana RFLP markers has been established based upon DNA fragments cloned in the pUC119 plasmid vector and insert end sequences of P1 clones. Dominant/null alleles affecting low-copy number sequences account for nine of the mapped polymorphisms, suggesting that deletions are not rare in A. thaliana . Recombinant inbred (RI) lines were used for mapping these marker loci. RI line-based mapping allows integration of this set of markers with markers previously reported as well as with any markers mapped in the future using this replenishable mapping resource. These markers are useful for map-based gene isolation and genome physical mapping in A. thaliana as well as studies of chromosome colinearity (synteny) with related species.     

A consensus map of chromosome 6R in rye (Secale cereale L.)

Four F₂ mapping populations derived from crosses between rye inbred lines DS2×RXL10, 541×Ot1-3, S120×S76 and 544×Ot0-20 were used to develop a consensus map of chromosome 6R. Thirteen marker loci that were polymorphic in more than one mapping population constituted the basis for the alignment of the four maps using the JoinMap v. 3.0 software package. The consensus map consists of 104 molecular marker loci including RFLPs, RAPDs, AFLPs, SSRs, ISSRs, SCARs, STSs and isozymes. The average distance between the marker loci is 1.3 cM, and the total map length is 135.5 cM. This consensus map may be used as a source of molecular markers for the rapid development of new maps of chromosome 6R in any mapping population.     

Genetic and physical characterization of chromosome 4DL in wheat.

The long arm of chromosome 4D in wheat (Triticum aestivum L.) has been shown in previous studies to harbor genes of agronomic importance. A major dominant gene conferring Aluminum (Al) tolerance (Alt2 in 'Chinese Spring' and AltBH in 'BH 1146'), and the Knal locus controlling the K+/Na+ discrimination in saline environments have been mapped to this chromosome arm. However, accurate information on the genetic and physical location of markers related to any of these genes is not available and would be useful for map-based cloning and marker-assisted plant breeding. In the present study, using a population of 91 recombinant inbred lines segregating for Al tolerance, we provide a more extensive genetic linkage map of the chromosome arm 4DL based on RFLP, SSR, and AFLP markers, delimiting the AltBH gene to a 5.9-cM interval between markers Xgdm125 and Xpsr914. In addition, utilizing a set of wheat deletion lines for chromosome arm 4DL, the AltBH gene was physically mapped to the distal region of the chromosome, between deletion breakpoints 0.70 and 0.86, where the kilobase/centimorgan ratio is assumed to be low, making the map-based cloning of the gene a more realistic goal. The polymorphism rates in chromosome arm 4DL for the different types of markers used were extremely low, as confirmed by the physical mapping of AFLPs. Finally, analysis of 1 Mb of contiguous sequence of Arabidopsis chromosome 5 flanking the gene homologous to the BCD1230 clone (a cosegregating marker in our population coding for a ribulose-5-phosphate-3-epimerase gene), revealed a previously identified region of stress-related and disease-resistance genes. This could explain the collinearity observed in comparative mapping studies among different species and the low level of polymorphism detected in the chromosome arm 4DL in hexaploid wheat.     

Reappraising the theme of breeding systems in Echinococcus: is outcrossing a rare phenomenon?

Selfing has been considered the most common mode of reproduction in Echinococcus flatworms. However, population genetic studies on the asexual larval stage involving nuclear co-dominant markers have not always revealed significant heterozygote deficiencies--the expected outcome of a regularly and highly inbred population. In this study, we analysed the genetic structure of Echinococcus granulosus sensu lato populations from Southern Brazil during their adult (sexual) stage using 1 mitochondrial and 1 nuclear marker (cox 1 and mdh, respectively). We show that parasite genetic differentiation is largest among definitive hosts (domestic dogs) from different farms, suggesting that transmission is mostly maintained within a farm. Moreover, we show that heterozygote deficiencies are not significant, and we suggest that outbreeding is the most common mode of reproduction of the parasite in that region.     

A genetic map of rye (Secale cereale L.) combining RFLP, isozyme, protein, microsatellite and gene loci

Among the cereals, rye (Secale cereale L.) can be grown under extreme climatic and poor soil conditions and, is a major crop in North Europe. In the present paper, we report the development of a genetic linkage map of rye using a pooled F₂ mapping population created from a reciprocal cross of two self-fertile inbred lines. The 183 mapped markers consist 139 RFLPs, 19 isozyme and protein markers, 13 microsatellites, 10 known function sequences and two morphological genes. The markers are randomly distributed on the seven chromosomes with a maximum of 38 on chromosome 5R and a minimum of 19 on chromosome 3R. In addition, 23 gene loci and 25 quantitative trait loci were aligned to chromosome regions. For some of the mapped or aligned genes comparable loci are present in other cereals. The homoeologous relationships of these loci are discussed. The potential of the new map for further genetic studies is outlined. Received: 11 May 2000 / Accepted: 12 July 2000     

Molecular mapping of genes for resistance to the bean pod weevil (Apion godmani Wagner) in common bean

The bean pod weevil (Apion godmani Wagner) is a serious insect pest of common beans (Phaseolus vulgaris L.) grown in Mexico and Central America that is best controlled by host-plant resistance available in Durango or Jalisco genotypes such as J-117. Given unreliable infestation by the insect, the use of marker-assisted selection is desirable. In the present study, we developed a set of nine molecular markers for Apion resistance and mapped them to loci on chromosomes 2, 3, 4 and 6 (linkage groups b01, b08, b07and b11, respectively) based on genetic analysis of an F _5:10 susceptible × resistant recombinant inbred line population (Jamapa × J-117) and two reference mapping populations (DOR364 × G19833 and BAT93 × JaloEEP558) for which chromosome and linkage group designations are known. All the markers were derived from randomly amplified polymorphic DNA (RAPD) bands that were identified through bulked segregant analysis and cloned for conversion to sequence tagged site (STS) markers. One of the markers was dominant while four detected polymorphism upon digestion with restriction enzymes. The other markers were mapped as RAPD fragments. Phenotypic data for the population was based on the evaluation of percentage seed damage in replicated trials conducted over four seasons in Mexico. In single point regression analysis, individual markers explained from 3.5 to 22.5% of the variance for the resistance trait with the most significant markers overall being F10-500S, U1-1400R, R20-1200S, W9-1300S and Z4-800S, all markers that mapped to chromosome 2 (b01). Two additional significant markers, B1-1400R and W6-800R, were mapped to chromosome 6 (b11) and explained from 4.3 to 10.2% of variance depending on the season. The latter of these markers was a dominant STS marker that may find immediate utility in marker-assisted selection. The association of these two loci with the Agr and Agm genes is discussed as well as the possibility of additional resistance genes on chromosome 4 (b07) and chromosome 3 (b08). These are among the first specific markers developed for tagging insect resistance in common bean and are expected to be useful for evaluating the mechanism of resistance to A. godmani.     

Microsatellite markers in common carp (Cyprinus carpio L.)

Microsatellite markers of the poly (CA) type in common carp ( Cyprinus carpio L.) are described. Clones containing a (CA) repeat were isolated from a common carp genomic library and sequenced. The number of repeats found was high compared to mammals but comparable with other teleost fishes. Classification of the repeats (perfect, imperfect and compound) are compared with the Atlantic cod ( Gadus morhua L.), rainbow trout ( Oncorhynchus mykiss ), and Atlantic salmon ( Salmo salar L.). A total of 41 primer sets were designed and tested for polymorphism on a test panel of eight animals (derived from outbred lines, inbred lines and gynogenetic clones). Thirty-two markers were found to be polymorphic. The heterozygosity in the outbred animals was 60·4%, 51·1% in the inbred animals and 0% in the gynogenetic clones. The average number of alleles among the eight animals was 4·7 per marker. Six markers (18·8%) gave an additional polymorphic amplification product besides the polymorphic amplification product in the expected size range. The possibility that these loci are tetraploid is discussed. The polymorphic loci described for common carp will be valuable as genetic markers for use in population, breeding, and evolutionary studies.