Temporal and spatial trends in allozyme frequencies in house fly populations,Musca domestica L.

Summary Allelic and genotypic frequencies were sampled from a single age class of the common house fly, Musca domestica L., at five farms on six dates from July 6 to October 12, 1982. Allozymes at six loci were resolved with vertical polyacrylamide gel electrophoresis. No consistent departures from random mating were detected. No consistent linkage disequilibrium was observed. Allele frequencies at the farms changed in independent and unpredictable ways. Gene frequencies at the five farms were initially divergent, converged in midsummer, and then progressively diverged. The divergence occured in mid-August when fly populations were large. Variation in gene frequencies at adjacent farms accounted for a large proportion of the variance in allele frequencies among all farms. These observations are consistent with the hypothesis that allele frequencies in young adult flies reflected the habitat in which they matured as larvae.Journal Paper No. 11718 of the Iowa Agriculture and Home Economics Experiment Station, Ames, Iowa, Project No. 2411     

HapSim: a simulation tool for generating haplotype data with pre-specified allele frequencies and LD coefficients

We have developed a simulation tool HapSim for the generation of haplotype data. The simulated haplotypes are such that their allele frequencies and linkage disequilibrium coefficients match exactly those estimated in a real sample. AVAILABILITY: The program is available as an R package and can be downloaded from http://cran.r-project.org/.     

Linkage disequilibria between pairs of loci within a highly polymorphic region of chromosome 2Q.

A recently described region on chromosome 2q contains seven restriction fragment length polymorphisms (RFLPs) revealed by single-copy probes isolated from a 20-kilobase (kb) segment of a single cosmid insert. Analysis of six of these loci demonstrates modest amounts of linkage disequilibrium. This reflects the presence of a substantial number of different haplotypes in this chromosome region and indicates that the region could be used as one highly polymorphic locus. No consistent relationship is found between the amount of linkage disequilibrium and the physical distance between pairs of loci. For seven of the 10 pairs of diallelic loci studied, the observed disequilibrium can be attributed primarily to the absence of the minor haplotype from the population. These results suggest that, for small regions of the genome, factors such as mutation, genetic drift, and population admixture may have effects that outweight those of recombination. In addition, results are reviewed which show that estimates of linkage disequilibrium coefficients for tightly linked loci are very imprecise. Thus, the inference of gene order from linkage disequilibrium values must be regarded with caution.     

LINKAGE DISEQUILIBRIUM AND A CONTACT ZONE IN PLETHODON CINEREUS ON THE DEL-MAR-VA PENINSULA

A contact zone between two electrophoretically differentiated forms of Plethodon cinereus extends across the Del-Mar-Va Peninsula. Based on the presumed nature of regional climates during the late Pleistocene, it is suggested that the climate was inhospitable for P. cinereus on the Del-Mar-Va Peninsula at the Wisconsin maximum. It is postulated that, after the Laurentide ice sheet receded about 14,000 years BP, the peninsula was invaded by populations of P. cinereus from the north and south. When the two forms of P. cinereus met, a secondary zone of contact was produced. This contact zone is now apparent in an area in which six electrophoretic loci have concordant clinal changes in allele frequency. The lack of evidence for heterozygote deficiencies, the broad width of the contact zone, and the overall symmetry of introgression suggest that fusion of the populations is occurring freely. Two esterase loci are in linkage disequilibrium in four of eight populations to the north of the contact zone. As all populations of P. cinereus studied to date have disequilibrium coefficients of similar sign, selection is likely important in the maintenance of this linkage disequilibrium. Within the contact zone, the incidence of the linkage disequilibrium increases, but exchange of genes between the two introgressing populations may account for the higher incidence of linkage disequilibrium.     

Phylogeography of Haplotypes of Five Microsatellites Located in a Low-recombination Region of the X Chromosome: Studies Worldwide and in Brazilian Populations

We studied five microsatellites (DXS995, DXS8076, DXS8114, DXS1002 and DXS1050) located in a region of very low recombination rate in the long arm of the human X chromosome (Xq13.3–Xq21.3). No recombination was seen in 291 meioses in CEPH families. To test whether haplotypes composed of the five microsatellites could differentiate among distinct human continental populations, we studied an international panel containing 72 males from Africa, Europe, Asia and the America. Haplotypic diversity was very high within these groups and no haplotypes were shared among them. This led to the hope that we might be able to identify continent-specific lineages. However, in a median joining network there was no clear discrimination of the different continental groups. We then tested whether we could identify X chromosomal lineages from different continental origins in Brazilians. We typed 180 white Brazilians from four different geographical regions and examined their proportions of haplotype sharing with Africans, Asians, Europeans and Amerindians. No phylogeographical patterns emerged from the data. Moreover, there were several instances of the same haplotype being shared by many (and in one instance all) groups, suggesting that recombination might be occurring. We thus studied pairwise the level of linkage disequilibrium (LD) between the microsatellites. No detectable linkage disequilibrium between the most external loci DXS995 and DXS1050 was observed. Thus, even though recombination may be absent on short time spans, as seen in the CEPH pedigrees, on a long term basis it occurs often enough to dissipate all linkage disequilibrium. On the other hand, we observed very strong linkage disequilibrium between the pairs DXS995/DXS8076 and DXS1002/DXS8114, raising the possibility of resequencing the segment between them to identify single nucleotide polymorphisms (SNPs) in their intervals. The combination of X-linked microsatellites and SNPs in strong linkage disequilibrium might provide a powerful new tool to investigate human demographic history.     

Inferences about linkage disequilibrium.

Existing theory for inferences about linkage disequilibrium is restricted to a measure defined on gametic frequencies. Unless gametic frequencies are directly observable, they are inferred from genotypic frequencies under the assumption of random union of gametes. Primary emphasis in this paper is given to genotypic data, and disequilibrium coefficients are defined for all subsets of two or more of the four genes, two at each of two loci, carried by an individual. Linkage disequilibrium coefficients are defined for genes within and between gametes, and methods of estimating and testing these coefficients are given for gametic data. For genotypic data, when coupling and repulsion double heterozygotes cannot be distinguished. Burrows' composite measure of linkage disequilibrium is discussed. In particular, the estimate for this measure and hypothesis tests based on it are compared to the usual maximum likelihood estimate of gametic linkage disequilibrium, and corresponding likelihood ratio or contingency chi-square tests. General use of the composite measure, whether or not random union of gametes is an appropriate assumption, is recommended. Attention is given to small samples, where the non-normality of gene frequencies will have greatest effect on methods of inference based on normal theory. Even tools such as Fisher's z-transformation for the correlation of gene frequencies are found to perform quite satisfactorily.     

Extent and structure of linkage disequilibrium in canola quality winter rapeseed (Brassica napus L.)

Linkage disequilibrium was investigated in canola quality winter rapeseed to analyze (1) the prospects for whole-genome association analyses and (2) the impact of the recent breeding history of rapeseed on linkage disequilibrium. A total of 845 mapped AFLP markers with allele frequencies ≥0.1 were used for the analysis of linkage disequilibrium in a population of 85 canola quality winter rapeseed genotypes. A low overall level of linkage disequilibrium was found with a mean r ² of only 0.027 over all 356,590 possible marker pairs. At a significance threshold of P = 2.8 × 10⁻⁷, which was derived by a Bonferroni correction from a global α-level of 0.1, only 0.78% of the marker pairs were in significant linkage disequilibrium. Among physically linked marker pairs, the level of linkage disequilibrium was about five times higher with more than 10% of marker pairs in significant linkage disequilibrium. Linkage disequilibrium decayed rapidly with distance between linked markers with high levels of linkage disequilibrium extending only for about 2 cM. Owing to the rapid decay of linkage disequilibrium with distance association analyses in canola quality rapeseed will have a significantly higher resolution than QTL analyses in segregating populations by interval mapping, but much larger number of markers will be necessary to cover the whole genome. A major impact of the recent breeding history of rapeseed on linkage disequilibrium could not be observed.     

SimPed: a simulation program to generate haplotype and genotype data for pedigree structures

With the widespread availability of SNP genotype data, there is great interest in analyzing pedigree haplotype data. Intermarker linkage disequilibrium for microsatellite markers is usually low due to their physical distance; however, for dense maps of SNP markers, there can be strong linkage disequilibrium between marker loci. Linkage analysis (parametric and nonparametric) and family-based association studies are currently being carried out using dense maps of SNP marker loci. Monte Carlo methods are often used for both linkage and association studies; however, to date there are no programs available which can generate haplotype and/or genotype data consisting of a large number of loci for pedigree structures. SimPed is a program that quickly generates haplotype and/or genotype data for pedigrees of virtually any size and complexity. Marker data either in linkage disequilibrium or equilibrium can be generated for greater than 20,000 diallelic or multiallelic marker loci. Haplotypes and/or genotypes are generated for pedigree structures using specified genetic map distances and haplotype and/or allele frequencies. The simulated data generated by SimPed is useful for a variety of purposes, including evaluating methods that estimate haplotype frequencies for pedigree data, evaluating type I error due to intermarker linkage disequilibrium and estimating empirical p values for linkage and family-based association studies.     

Analysis of genetic structure in soil populations of Rhizobium leguminosarum recovered from the USA and the UK

Although many studies have shown that animal-associated bacterial species exhibit linkage disequilibrium at chromosomal loci, recent studies indicate that both animal-associated and soil-borne bacterial species can display a nonclonal genetic structure in which alleles at chromosomal loci are in linkage equilibrium. To examine the situation in soil-borne species further, we compared genetic structure in two soil populations of Rhizobium leguminosarum bv. trifolii and two populations of R. leguminosarum bv. viciae from two sites in Oregon, with genetic structure in R. leguminosarum bv. viciae populations recovered from peas grown at a site in Washington, USA, and at a site in Norfolk, UK. A total of 234 chromosomal types (ET) were identified among 682 strains analysed for allelic variation at 13 enzyme-encoding chromosomal loci by multilocus enzyme electrophoresis (MLEE). Chi-square tests for heterogeneity of allele frequencies showed that the populations were not genetically uniform. A comparison of the genetic diversity within combined and individual populations confirmed that the Washington population was the primary cause of genetic differentiation between the populations. Each individual population exhibited linkage disequilibrium, with the magnitude of the disequilibrium being greatest in the Washington population and least in the UK population of R. leguminosarum bv. viciae. Linkage disequilibrium in the UK population was created between two clusters of 9 and 23 ETs, which, individually, were in linkage equilibrium. Strong linkage disequilibrium between the two major clusters of 8 and 12 ETs in the Washington population was caused by the low genetic diversity of the ETs within each cluster relative to the inter-cluster genetic distance. Because neither the magnitude of genetic diversity nor of linkage disequilibrium increased as hierarchical combinations of the six local populations were analysed, we conclude that the populations have not been isolated from each other for sufficient time, nor have they been exposed to enough selective pressure to develop unique multilocus genetic structure.     

Soybean pedigree analysis using map-based molecular markers: recombination during cultivar development

An analysis of the genome structure of soybean cultivars was conducted to determine if cultivars are composed of large regions of chromosomes inherited intact from one parent (indicative of minimal recombination) or if the chromosomes are a mixture of one parent's DNA interspersed with the DNA from the other parent (indicative of maximal recombination). Twenty-one single-cross-derived and 5 single-backcross-derived soybean cultivars and their immediate parents (47 genotypes) were analyzed at 89 RFLP loci to determine the minimal number and distribution of recombination events detected. Cultivars derived from single-cross and single-backcross breeding programs showed an average of 5.2 and 8.0 recombination events per cultivar, respectively. A homogeneity Chi-square test based upon a Poisson distribution of recombination events across 13 linkage groups indicated that the number of recombinations observed among linkage groups was random for the single-cross cultivars, but not for the single-backcross-derived cultivars. A twotailed t-test demonstrated that for some linkage groups, the number of recombinations per map unit exceeded the confidence interval developed from a t-distribution of recombinations standardized for map unit distance. Paired t-tests of the number of recombinations observed between linkage-group ends and the mid-portion of the linkage groups indicated that during the development of the cultivars analyzed in this study more recombinations were associated with the ends of linkage groups than with the middle region. Detailed analysis of each linkage group revealed that large portions of linkage groups D, F, and G were inherited intact from one parent in several cultivars. A portion of linkage group G, in contrast, showed more recombination events than expected, based on genetic distance. These analyses suggest that breeders may have selected against recombination events where agronomically favorable combinations of alleles are present in one parent, and for recombination in areas where agronomically favorable combinations of alleles are not present in either parent.Names are necessary to report factually on the available data; however, the USDA neither guarantees nor warrants the standard of the product, and the use of the name by the USDA implies no approval of the product to the exclusion of others that may also be available. Contribution of the Midwest Area, USDA-ARS, Project No. 3236 of the Iowa Agriculture and Home Economics Experiment Station, Ames, IA 50011. Journal Paper No. J-16533     

Development and characterization of 45 novel microsatellite markers for sea cucumber (Apostichopus japonicus)

Simple sequence repeat‐enriched library screening and expressed sequence tag database mining were adopted to develop microsatellite markers for sea cucumber (Apostichopus japonicus). Eighty‐three microsatellite loci were selected for polymorphism assessment using 48 individuals. The results showed that 45 novel loci were polymorphic. The number of alleles ranged from two to 16, and the values of observed and expected heterozygosities varied from 0 to 0.9375 and from 0.1135 to 0.9674, respectively. No significant linkage disequilibrium between pairs of loci was found and 26 loci conformed to the Hardy–Weinberg equilibrium. These markers are therefore a potential tool for studies in the population structure and linkage map construction for A. japonicus.     

EVIDENCE FOR A MOSAIC HYBRID ZONE IN THE GRASS SHRIMP PALAEMONETES KADIAKENSIS (PALAEMONIDAE) AS REVEALED BY MULTIPLE GENETIC MARKERS

Molecular techniques provide powerful tools for studying the geographic structure of hybrid zones and the dynamics of gene exchange between incipient species. We examined allozyme variation at five loci (PGM, GPI, MDH-1, MDH-2, and LDH) for 27 populations of Palaemonetes kadiakensis from the central, coastal, and eastern regions of Texas. Central Texas populations of P. kadiakensis exhibited highly significant linkage disequilibrium and departures from Hardy-Weinberg genotype proportions. In populations with linkage disequilibrium, allelic differences at GPI defined two types of P. kadiakensis, designated A and B. Both types existed in central Texas with little or no evidence of interbreeding, whereas the populations from all other localities showed complete introgression of type B alleles into the type A gene pool. We also examined ribosomal DNA (rDNA) and mitochondrial DNA (mtDNA) variation in a subset of populations, chosen to cover a range of geographic locations and levels of linkage disequilibrium. Two groups of mtDNA haplotypes and two restriction fragment patterns for the rDNA corresponded to allozyme type A and B individuals in populations exhibiting linkage disequilibrium. In populations with ongoing hybridization, all hybrid animals (N= 15) exhibited type A mtDNA. Exhibition of type A mtDNA indicated that type A females had mated successfully with type B males, but type B females had not mated successfully with type A males. Genotype distributions suggest reduced reproduction by hybrid offspring in central Texas populations. These patterns are consistent with a mosaic model of hybrid zone dynamics.     

A program to test linkage disequilibrium between loci in autotetraploid species

No software currently implements a test of linkage disequilibrium in autotetraploid species. We propose a program, LD4X that performs a Fisher's exact test between pairs of alleles at two loci. All combinations of alleles from two loci are treated in turn. If two alleles of a pair of loci have a nonrandom distribution, the markers are considered as linked. The program was tested on a set of microsatellite markers in synthetic alfalfa populations.     

Linkage disequilibrium analyses and restriction mapping of four RFLPs at the proα2(I) collagen locus: lack of correlation between linkage disequilibrium and physical distance

Summary Restriction fragment length polymorphisms (RRLPs) located at short distances may demonstrate linkage disequilibrium. Under the assumption that the distances between the loci of the RFLPs are inversely related to the linkage disequilibria, gene order may be deduced. However, if the assumption is invalid, the results may be incorrect. We have studied four different DNA polymorphisms at the COLIA2 locus in 180 unrelated Norwegian individuals. Observed frequencies (presence/absence) for the different polymorphic sites were as follows: site A (EcoRI) 0.30/0.70, site B (MspI) 0.83/0.16, site C (StuI) 0.86/0.14, and site D (RsaI) 0.66/0.34. Of 16 possible haplotypes 12 were demonstrated, and 2 additional were deduced to be present. Restriction mapping of the four polymorphic sites gave the following order of the sites from the 5 to the 3 of the gene: A-D-B-C. Linkage disequilibrium was not found between the sites A and D; strong disequilibrium was found between sites A and C, and B and C; and less strong, between A and B, B and D, and C and D. Analysis of linkage disequilibrium coefficients between all pairs of loci demonstrated that there is no consistent relationship between linkage disequilibrium and physical distance (=-0.07). These results suggest that for a small region of the genome, factors such as deviating mutation rate and gene conversion may add significantly to rearrangements by recombination. Thus, a deduced gene order from linkage disequilibrium data has to be regarded with great caution.     

A sib-pair regression model of linkage disequilibrium for quantitative traits

A multiple-regression model is described for the detection of linkage disequilibrium in quantitative trait loci. The model is developed for application to large numbers of single nucleotide polymorphism (SNP) markers genotyped on small nuclear families. Parental data are not required by the method, although it provides a direct means to test quantitative trait locus-marker allele association and to determine whether any such association is attributable to linkage disequilibrium or population admixture. Analytical expectations for the regression coefficients are derived, allowing direct interpretation of the parameter estimates. Simulation studies indicate a substantial improvement in power over classical linkage studies of sibling pairs and show the effects of population admixture on the model outcomes.     

A test for linkage and association in general pedigrees: the pedigree disequilibrium test

Family-based tests of linkage disequilibrium typically are based on nuclear-family data including affected individuals and their parents or their unaffected siblings. A limitation of such tests is that they generally are not valid tests of association when data from related nuclear families from larger pedigrees are used. Standard methods require selection of a single nuclear family from any extended pedigrees when testing for linkage disequilibrium. Often data are available for larger pedigrees, and it would be desirable to have a valid test of linkage disequilibrium that can use all potentially informative data. In this study, we present the pedigree disequilibrium test (PDT) for analysis of linkage disequilibrium in general pedigrees. The PDT can use data from related nuclear families from extended pedigrees and is valid even when there is population substructure. Using computer simulations, we demonstrated validity of the test when the asymptotic distribution is used to assess the significance, and examined statistical power. Power simulations demonstrate that, when extended pedigree data are available, substantial gains in power can be attained by use of the PDT rather than existing methods that use only a subset of the data. Furthermore, the PDT remains more powerful even when there is misclassification of unaffected individuals. Our simulations suggest that there may be advantages to using the PDT even if the data consist of independent families without extended family information. Thus, the PDT provides a general test of linkage disequilibrium that can be widely applied to different data structures.     

The extent and distribution of linkage disequilibrium in a multi-hierarchic outbred canine pedigree

A canine integrated linkage-radiation map has been recently constructed by using microsatellite markers. This map, with a good coverage of the canine genome, allows for a genome-wide search for the extent and distribution of linkage disequilibrium derived from linkage and evolutionary forces. In this study, we genotyped an outbred pedigree between Labrador retriever and Greyhound breeds with a set of microsatellite markers (240) from the canine linkage map. Linkage disequilibrium was measured between all syntenic and nonsyntenic marker pairs. Analysis of syntenic pairs revealed a significant correlation (–0.229, P < 0.001) between linkage disequilibrium and genetic distance (log transformed). Significant linkage disequilibria were observed more frequently between syntenic pairs spaced <40 cM than those paced >40 cM. There is a clear trend for linkage disequilibrium to decline with marker distance. From our results, a genome-wide screen with markers at low to moderate density (1–2 per 10 cM) should take full advantage of linkage disequilibrium for quantitative trait locus mapping in dogs. This study supports the appropriateness of linkage disequilibrium analysis to detect and map quantitative trait loci underlying complex traits in dogs.     

A linkage map of diploid Avena based on RFLP loci and a locus conferring resistance to nine isolates of Puccinia coronata var. ‘avenae’

An F₂ oat population was produced by crossing the diploid (n=7) species Avena strigosa (CI 3815) with A. wiestii (CI 1994), resistant and susceptible, respectively, to 40 isolates of Puccinia coronata, the causal agent of crown rust. Eighty-eight F₂ individuals were used to construct an RFLP linkage map representing the A genome of cultivated hexaploid oat. Two hundred and eight RFLP loci have been placed into 10 linkage groups. This map covers 2416 cM, with an average of 12 cM between RFLP loci. Eighty-eight F₃ lines, derived from F₂ individuals used to construct the map, were screened for resistance to 9 isolates of P. coronata. One locus, Pca, was found to confer a dominant resistance phenotype to isolates 203, 258, 263, 264B, 290, 298, 325A, and 345. Pca also conferred resistance to isolate 276; however, an unlinked second gene may also be involved.Journal Paper No. 15143 of the Iowa Agriculture and Home Economics Experiment Station, Ames, Iowa. Project No. 3134 and 2447     

Haplotype analysis of the linkage group HLA-A: HLA-B: Bf in Japanese

Summary Three hundred four HLA-A: HLA-B: Bf haplotypes of the Japanese population as deduced by family analysis are described. Several linkage disequilibriums were observed in the following two-factor haplotypes: HLA-A and HLA-B, HLA-A and Bf, and HLA-B and Bf. Positive linkage disequilibriums between HLA-A and HLA-B noted in the present study seem to be Japanese specific when compared with the results obtained from other ethnic groups reported so far.The striking finding is that three HLA-B: Bf haplotypes, namely B12-Bf ^F , B15-Bf ^F ,and B7-Bf ^S ,are common and show linkage disequilibrium in both Japanese and European Caucasians (German). This finding not only confirms the proximity of the HLA-B and Bf loci but also suggests that the interaction of the two genes plays an important role in the maintenance of stable linkage disequilibrium.This study was partially supported by a Scientific Research Grant (No. 337023) from the Ministry of Education, Science, and Culture of JapanAddress until August, 1981: Dept. Immunohaematology, Bldg. 23, University Hospital, Leiden, The Netherlands     

Characterization of microsatellite DNA markers in the white‐bearded manakin (Manacus manacus)

Eight microsatellite DNA markers were isolated and characterized from white bearded manakin (Manacus manacus) using an enrichment cloning procedure. A large number of alleles (range 9–25), and high levels of observed heterozygosity (mean 0.67) were resolved in 236 individuals. No evidence for linkage disequilibrium or the presence of null alleles was found, indicating that these markers will be useful for examining genetic relatedness, parentage and population structure in manakins.