Age trends in human chiasma frequencies and recombination fractions. I. Chiasma frequencies.

Chiasma frequency data on 183 males were subjected to an analysis of covariance. There appeared to be little or no linear trend in chiasma frequency with age. This conclusion was supported by a detailed analysis of chiasma frequencies for each autosome from 21 males. There were, however, significant differences among investigators in reported mean chiasma frequencies.     

Maximum likelihood vs. minimum chi-square--a general comparison with applications to the estimation of recombination fractions in two-point linkage analysis.

Some relationships between the estimates of recombination fraction in two-point linkage analysis obtained by maximum likelihood, minimum chi-square, and general least squares are derived. These theoretical results are based on an approximation for the multinomial distribution. Applications (theoretical and experimental) with RFLP (restriction fragment length polymorphism) markers for a segregating F2 population are given. The minimum chi-square estimate is slightly larger than the maximum likelihood estimate. For applications, however, both estimates must be considered to be approximately equal. The least squares estimates are slightly different (larger or smaller) from these estimates.     

Correcting for ascertainment biases when analyzing SNP data: applications to the estimation of linkage disequilibrium

As large-scale sequencing efforts turn from single genome sequencing to polymorphism discovery, single nucleotide polymorphisms (SNPs) are becoming an increasingly important class of population genetic data. But because of the ascertainment biases introduced by many methods of SNP discovery, most SNP data cannot be analyzed using classical population genetic methods. Statistical methods must instead be developed that can explicitly take into account each method of SNP discovery. Here we review some of the current methods for analyzing SNPs and derive sampling distributions for single SNPs and pairs of SNPs for some common SNP discovery schemes. We also show that the ascertainment scheme has a large effect on the estimation of linkage disequilibrium and recombination, and describe some methods of correcting for ascertainment biases when estimating recombination rates from SNP data.     

Joint estimation of recombination fractions and interference coefficients in multilocus linkage analysis.

Estimation of recombination fractions and interference coefficients is of importance in multilocus linkage analysis. With the development of molecular genetic technologies such as RFLP, multilocus data are readily available to researchers. Several methods have been developed to analyze such data, and each performs well under restrictive conditions. The present paper proposes a method based on a multiplicative model and maximum-likelihood estimation of recombination fractions and interference coefficients. The estimators are consistent regardless of the model assumptions and are efficient if the model is a good approximation. The estimators are tractable even when there are incomplete observations. Furthermore, the interference between nonadjacent chromosomal regions or those among three chromosomal regions can be modeled and tested by a simple Z-test. The proposed method was applied to linkage analysis of four-locus data obtained from Drosophila and that of seven-locus data obtained again from Drosophila. Reanalysis of the first example revealed that there is interference between chromosomal regions 2 and 3. Analysis of the second example suggested that there is triple interference as well as pairwise interference between nonadjacent chromosomal regions; the genetic interpretation of these findings remains to be developed.     

Models of multilocus recombination: nonrandomness in chiasma number and crossover positions.

Cytological evidence indicates that genetic interference can be partitioned into two empirical components: nonrandomness in the number of chiasmata that occur and nonrandomness in the locations of multiple chiasmata. Previous studies have incorporated the first effect into genetic models for analyzing multipoint data. An extension to this approach is presented which allows for the second component of interference by modeling the probability density function of the locations of multiple crossovers. Results of reanalyses of multilocus data for the Drosophila X chromosome show that models that incorporate only the first effect give a better fit to these data than do standard mapping functions and that the extended model significantly improved the fit by decreasing the predicted frequency of multiple crossovers in nearby regions. Our results demonstrate that chiasma-based models of multilocus recombination, which are unique in incorporating direct estimates of the frequency of multiple crossovers for a chromosome region, can provide a powerful and realistic means of accounting for genetic interference when applied to the problems of gene localization, locus ordering, and exclusion mapping.     

Dominant enhancer effect of the meiotic mei4 mutant on recombination frequencies restricted to linkage group VI in Podospora anserina.

Summary A mutant which increases second division segregation (SDS) frequency of locus 110 (linkage group VI) was isolated. It was called mei4 because of its meiotic deficiency. The present paper deals with its effect on meiotic recombination when heterozygous. mei4 then only acts on linkage group VI. The SDS frequencies were increased for all markers used, except locus 5 located very close to the centromere. This quasi general enhancement results exclusively in an enlargement of map distance on linkage group VI's proximal part. Crosses involving three mutant genes allowed to check that the distances on the distal part were constant. This is due to a real lack of crossover frequency modification in this region and not to a change of chiasma interference. Among the seven linkage groups of Podospora anserina, group VI exhibits several other particularities concerning meiotic recombination, especially a lower positive chiasma interference and a more regular crossover distribution, suggesting a particular recombination regulation.Laboratoire associé n⁰ 86 du Centre National de la Recherche Scientifique     

Genetic linkage mapping in fungi: current state, applications, and future trends

Genetic mapping is a basic tool for eukaryotic genomic research. Linkage maps provide insights into genome organization and can be used for genetic studies of traits of interest. A genetic linkage map is a suitable support for the anchoring of whole genome sequences. It allows the localization of genes of interest or quantitative trait loci (QTL) and map-based cloning. While genetic mapping has been extensively used in plant or animal models, this discipline is more recent in fungi. The present article reviews the current status of genetic linkage map research in fungal species. The process of linkage mapping is detailed, from the development of mapping populations to the construction of the final linkage map, and illustrated based on practical examples. The range of specific applications in fungi is browsed, such as the mapping of virulence genes in pathogenic species or the mapping of agronomically relevant QTL in cultivated edible mushrooms. Future prospects are finally discussed in the context of the most recent advances in molecular techniques and the release of numerous fungal genome sequences.     

Polymorphism, recombination, and linkage disequilibrium within the HLA class II region.

Thirty-nine CEPH (Centre d'Etude du Polymorphisme Humain) families, comprised of 502 individuals, have been typed for the HLA class II genes DRB1, DQA1, DQB1, and DPB1 using nonradioactive sequence-specific oligonucleotide probes to analyze polymerase chain reaction amplified DNA. This population, which consists of 266 independent chromosomes, contains 27 DRB1, 7 DQA1, 12 DQB1, and 17 DPB1 alleles. Analysis of the distribution of allele frequencies using the homozygosity statistic, which gives an indication of past selection pressures, suggests that balancing selection has acted on the DRB1, DQA1, and DQB1 loci. The distribution of DPB1 alleles, however, suggests a different evolutionary past. Family data permits the estimation of recombination rates and the unambiguous assignment of haplotypes. No recombinants were found between DRB1, DQA1, and DQB1; however, recombinants were detected between DQB1 and DPB1, resulting in an estimated recombination fraction of greater than or equal to 0.008 +/- 0.004. Only 33 distinct DRB1-DQA1-DQB1 haplotypes were found in this population which illustrates the extreme nonrandom haplotypic association of alleles at these loci. A few of these haplotypes are unusual (previously unreported) for a Caucasian population and most likely result from past recombination events between the DR and DQ subregions. Examination of disequilibrium across the HLA region using these data and the available serologic HLA-A and HLA-B types of these samples shows that global disequilibrium between these loci declines with the recombination fraction, approaching statistic nonsignificance at the most distant interval, HLA-A to HLA-DP.DR-DQ haplotypes in linkage disequilibrium with DPB1 and B are noted and, finally, the evolutionary origin of certain class II haplotypes is addressed.     

Multilocus linkage analysis in humans: detection of linkage and estimation of recombination.

Multilocus linkage analysis is investigated from the viewpoint of the efficiency of recombination estimates under different strategies for detecting linkage and determining gene order within a linkage group. We consider the appropriateness of assuming no interference with data available in human genetic studies. Examples are given to show the significance of multilocus analysis in humans. A computer program package, LINKAGE, for multilocus linkage analysis is described.     

The quantitative analysis of chromosome pairing and chiasma formation based on the relative frequencies of M I configurations. II. Primary trisomics

On an earlier occasion the estimation of the “crossing-over potentials” of the two arms of a chromosome from the relative frequencies of the different types of bivalent was discussed. When in normal diploids the bivalents in M I can not be distinguished from each other, primary trisomics may be used to mark particular chromosomes. For the estimation of the “crossingover potentials” of the two arms the only type of configuration available (trivalent) is not sufficient. The required additional information may be obtained from the average probability (b) of the chromosome arms to be bound. Using the satellite chromosome trisomic ofSecale cereale it is shown that the use ofb introduces an excessive error, especially with highb values. Consequently, the primary trisomics can not be recommended for the estimation of the “crossing-over potentials” of the two arms of particular chromosomes. The telocentric trisomics permit the recognition of more configurations and are to be preferred. Partner exchange and nucleolus may both interfere with chiasma formation. The data suggest that the three homologous chromosomes may not be equal in respect to pairing and chiasma formations. There are indications that the initiation of pairing is localized in one locus on each arm.     

The dating of Lantian man and his significance for analyzing trends in human evolution

The Lantian fossil hominid cranium from Southern Shensi Province, China, provides the earliest record of Homo erectus in northern east Asia, and is morphologically the most primitive specimen in the entire world. Importantly, the Kungwangling Lantian cranium (calvarium plus face), with associated stone tools in good geologic and paleontological context, is demonstrably both earlier and more primitive than the Choukoutien I remains. Faunal and palynological evidence support a mid-Mosbachium equivalent age (some 700,000 years). These facts are not recognized in the original Chinese reports. The Chenchiawo Lantian mandible, like the Choukoutien I remains, is attributable to the Holstein-equivalent in China (some 300,000 years ago), and therefore should no longer be temporally associated with the Kungwangling Lantian cranium. However, that the mandible may be morphologically associated with either calls attention to the relative independence of the mandible in human evolution. A comparative study of some modern Mongoloid populations in which very large mandibles may or may not be associated with a scaphoid keel or sagittal elevation depending upon the size and shape of the cranium demonstrates the relative autonomy of the mandible. Continuing selection pressure for a masticatory complex with large jaws provides another point of continuity between East Asian fossil and modern Mongoloid hunting populations such as Eskimos and Aleuts. A number of morphological features of the cranium, especially vault thickness, cranial capacity and reinforcement system, conform to expectation and confirm a general trend of reduction in vault thickness and reinforcement system with increase in cranial capacity over time within the single human species.     

A new method for detecting human recombination hotspots and its applications to the HapMap ENCODE data

Computational detection of recombination hotspots from population polymorphism data is important both for understanding the nature of recombination and for applications such as association studies. We propose a new method for this task based on a multiple-hotspot model and an (approximate) log-likelihood ratio test. A truncated, weighted pairwise log-likelihood is introduced and applied to the calculation of the log-likelihood ratio, and a forward-selection procedure is adopted to search for the optimal hotspot predictions. The method shows a relatively high power with a low false-positive rate in detecting multiple hotspots in simulation data and has a performance comparable to the best results of leading computational methods in experimental data for which recombination hotspots have been characterized by sperm-typing experiments. The method can be applied to both phased and unphased data directly, with a very fast computational speed. We applied the method to the 10 500-kb regions of the HapMap ENCODE data and found 172 hotspots among the three populations, with average hotspot width of 2.4 kb. By comparisons with the simulation data, we found some evidence that hotspots are not all identical across populations. The correlations between detected hotspots and several genomic characteristics were examined. In particular, we observed that DNaseI-hypersensitive sites are enriched in hotspots, suggesting the existence of human beta hotspots similar to those found in yeast.     

Transposon-mediated site-specific recombination in vitro: DNA cleavage and protein-DNA linkage at the recombination site

Resolvase, the product of the tnpR gene of the transposable element gamma delta, mediates a site-specific recombination between two copies of the element directly repeated on the same replicon. The resolution site, res, at which resolvase acts lies in the intercistronic region between the tnpA and tnpR genes. We have studied this site-specific recombination in vitro. In the absence of Mg2+, a resolvase-res complex is formed, which contains DNA molecules that have been cleaved at res. Our data suggest that in this complex resolvase is covalently attached to the 5' ends of the cleaved DNA, leaving free 3' hydroxyl groups. DNA cleavage is stimulated by the interaction of two res sites on the same substrate molecule and appears to be an intermediate step in normal res site recombination. We show that the DNA is cut within a region previously identified as containing the crossover point at the palindromic sequence 5'- (see formula in text) to generate 3' extensions of two bases.     

A de novo recombination in the ABO blood group gene and evidence for the occurrence of recombination products

We have encountered a paternity case where exclusion of the putative father was only observed in the ABO blood group (mother, B; child, A1; putative father, O), among the many polymorphic markers tested, including DNA fingerprints and microsatellite markers. Cloning a part of the ABO gene, PCR-amplified from the trio’s genomes, followed by sequencing the cloned fragments, showed that one allele of the child had a hybrid nature, comprising exon 6 of the B allele and exon 7 of the O1 allele. Based on the evidence that exon 7 is crucial for the sugar-nucleotide specificity of A1 and B transferases and that the O1 allele is only specified by the 261G deletion in exon 6 of the consensus sequence of the A1 allele, we concluded that the hybrid allele encodes a transferase with A1 specificity, resulting, presumably, from de novo recombination between the B and O1 alleles of the mother during meiosis. Screening of random populations demonstrated the occurrence of four other hybrid alleles. Sequencing of intron VI from the five hybrid alleles showed that the junctions of the hybrid alleles were located within intron VI, the intron VI-exon 7 boundaries, or exon 7. Recombinational events seem to be partly involved in the genesis of sequence diversities of the ABO gene. Received: 25 October 1996     

Evaluation of a possible sex difference in recombination for the ABO-AK linkage.

Thirty-five informative families were scored for linkage between the ABO and AK loci. The recombination fractions were estimated separately in females and males and were compared with values reported in the literature. A 1.33:1 ratio for the female:male recombination fraction was obtained by combining all sources, but the difference between the recombination fractions was not significantly different from zero. The present data, combined with those reported earlier, show that the most likely recombination fraction is about 14%.     

Linkage analysis in the presence of errors II: marker-locus genotyping errors modeled with hypercomplex recombination fractions

It is well known that genotyping errors lead to loss of power in gene-mapping studies and underestimation of the strength of correlations between trait- and marker-locus genotypes. In two-point linkage analysis, these errors can be absorbed in an inflated recombination-fraction estimate, leaving the test statistic quite robust. In multipoint analysis, however, genotyping errors can easily result in false exclusion of the true location of a disease-predisposing gene. In a companion article, we described a "complex-valued" extension of the recombination fraction to accommodate errors in the assignment of trait-locus genotypes, leading to a multipoint LOD score with the same robustness to errors in trait-locus genotypes that is seen with the conventional two-point LOD score. Here, a further extension of this model to "hypercomplex-valued" recombination fractions (hereafter referred to as "hypercomplex recombination fractions") is presented, to handle random and systematic sources of marker-locus genotyping errors. This leads to a multipoint method (either "model-based" or "model-free") with the same robustness to marker-locus genotyping errors that is seen with conventional two-point analysis but with the advantage that multiple marker loci can be used jointly to increase meiotic informativeness. The cost of this increased robustness is a decrease in fine-scale resolution of the estimated map location of the trait locus, in comparison with traditional multipoint analysis. This probability model further leads to algorithms for the estimation of the lower bounds for the error rates for genomewide and locus-specific genotyping, based on the null-hypothesis distribution of the LOD-score statistic in the presence of such errors. It is argued that those genome scans in which the LOD score is 0 for >50% of the genome are likely to be characterized by high rates of genotyping errors in general.     

Reactions between half- and full-FLP recombination target sites. A model system for analyzing early steps in FLP protein-mediated site-specific recombination.

The FLP recombination target (FRT) can be cut in half so that only one FLP protein binding site is present (a "half site"). FLP protein binds the half sites and joins them into dimeric, asymmetric head-to-head complexes held together chiefly by strong noncovalent interactions. These complexes react with full (normal) FRT sites to generate a variety of products. Analysis of these DNA species reveals that the reaction follows a well-defined reaction pathway that generally parallels the normal reaction pathway. The system is useful in analyzing early steps in recombination, since the identity of the products in a given recombination event unambiguously pinpoints the order in which the cleavage and strand exchange reactions occur. Two conclusions are derived from the present study: (i) Formation of the dimeric head-to-head complex of half sites is a prerequisite to further steps in recombination. (ii) The identity of the base pairs at positions 6 and -6 within the FRT site has a subtle effect in directing the first strand exchange event in the reaction to predominantly one of two possible cleavage sites. In addition, results are presented that suggest that a DNA-DNA pairing intermediate involving only two base pairs of the core sequence is formed prior to the first cleavage and strand exchange. DNA-DNA interactions may therefore not be limited to the isomerization step that follows the first strand exchange.