Complex patterns of linkage disequilibrium in the Huntington disease region.

The genetic defect causing Huntington disease (HD) has been mapped to 4p16.3 by linkage analysis using DNA markers. Two apparently contradictory classes of recombination events in HD kindreds preclude precise targeting of efforts to clone the disease gene. Here, we report a new recombination event that increases support for an internal candidate region of 2.5 Mb between D4S10 and D4S168. Analysis of 23 DNA polymorphisms in 4p16.3 revealed a complex pattern of association with the disease gene that failed to narrow the size of the candidate region. The degree of linkage disequilibrium did not show a continuous increase across the physical map, nor was a region of extreme disequilibrium identified. Markers displaying no association with the disorder were interspersed with and, in many cases, close to markers displaying significant disequilibrium. Comparison of closely spaced marker pairs on normal and HD chromosomes, as well as analysis of haplotypes across the HD region, suggest that simple recombination subsequent to a single original HD mutation cannot easily explain the pool of HD chromosomes seen today. A number of different mechanisms could contribute to the diversity of haplotypes observed on HD chromosomes, but it is likely that there has been more than one and possibly several independent origins of the HD mutation.     

Linkage disequilibrium for different scales and applications

Assessing the patterns of linkage disequilibrium (LD) has become an important issue in both evolutionary biology and medical genetics since the rapid accumulation of densely spaced DNA sequence variation data in several organisms. LD deals with the correlation of genetic variation at two or more loci or sites in the genome within a given population. There are a variety of LD measures which range from traditional pairwise LD measures such as D' or r2 to entropy-based multi-locus measures or haplotype-specific approaches. Understanding the evolutionary forces (in particular recombination) that generate the observed variation of LD patterns across genomic regions is addressed by model-based LD analysis. Marker type and its allelic composition also influence the observed LD pattern, microsatellites having a greater power to detect LD in population isolates than SNPs. This review aims to explain basic LD measures and their application properties.     

Homozygote for Huntington disease.

Four offspring of three different Huntington disease (HD) affected x affected matings were assessed by genetic linkage analysis for possible homozygosity. One individual was found to have a 95% likelihood of being an HD homozygote. The homozygote individual had an age at onset and symptoms which were similar to those of affected HD heterozygote relatives, including some with younger onset. This confirms the observation of Wexler et al. that in HD the homozygote is not more severely afflicted than the heterozygote.     

Linkage disequilibrium and gametophytic self-incompatibility

Summary The approach to linkage equilibrium of a locus linked to the locus determining gametophytic self-incompatibility (S) is considered. For the simplest case of three alleles at the S locus and two at the linked locus it is necessary to consider 3 measures of linkage disequilibrium. These are found to approach their equilibrium value of zero in one of three ways: 1) steadily declining to zero; 2) oscillating as decline proceeds; 3) a combination: 2) followed by 1). Linkage equilibrium may be established before genotype frequencies reach their expectation under random crossing. Earlier studies (Li 1951; Moran 1962) of the approach to S allele equilibrium have been based on the assumption that all types of pollen take part in fertilizations equally frequently. Such an assumption leads to simpler expressions for changes in S gene frequencies but is extremely unrealistic and, in particular, leads to a different rate of approach to equilibrium from the more comprehensive model. It is shown that even in the absence of selection it is not possible to predict the equilibrium gene frequency of a linked locus until S allele equilibrium is reached. This frequency may be either higher or lower than that calculated from a gene count in the starting genotype pool. However, these two gene frequencies may stabilize long before linkage equilibrium is achieved. An examination of selection against one genotype at the linked locus is undertaken. If linkage is complete, lethality can be less effective at reducing the gene frequency than is less intense selection (in only a few generations of selection). Here too linkage equilibrium may be established with selection still effective in bringing about a decline in gene frequency. An examination of the analysis and conclusions of Rasmuson (1980) shows that because these were based on the inadequate formulae previously discussed and exclude phenomena discussed above, they are misleading. The possibility of a gametophytic self-incompatibility system providing a sufficient condition for the sheltering of lethals in the absence of the condition of complete linkage to the S locus (r=0) is shown to be unlikely.     

Linkage disequilibrium and association of MAPT H1 in Parkinson disease

The MAPT H1 haplotype has been associated with four-repeat (4R) tauopathies, including progressive supranuclear palsy, corticobasal degeneration, and argyrophilic grain disease. More controversial is that the same haplotype has been associated with Parkinson disease (PD). Using H1-specific single-nucleotide polymorphisms, we demonstrate that MAPT H1 is a misnomer and consists of a family of recombining H1 alleles. Population genetics, linkage disequilibrium, and association analyses have shown that specific MAPT H1 subhaplotypes are preferentially associated with Parkinson disease. Using a sliding scale of MAPT H1-specific haplotypes--in age/sex-matched PD cases and controls from central Norway--we have refined the disease association to within an approximately 90-kb interval of the 5' end of the MAPT locus.     

Linkage disequilibrium and linkage information from one-child families.

In linkage analysis a single-child family is usually considered to be completely uninformative. This article shows that such a family can provide information on linkage disequilibrium, even if it provides no information on linkage equilibrium. A transition matrix consisting of the recombination fraction and the phase proportion is proposed to study the genetic transmission from a pair of parents to their single child. The information about linkage for a single-child family is shown to be confounded by the phase proportion. This explains why such a family used to be considered uninformative under the assumption of linkage equilibrium. By reparametrizing the recombination fraction and the phase proportion into one parameter, it is demonstrated that extracting information on linkage disequilibrium is feasible. The study of power of the testing method proposed here is carried out by simulation.     

Linkage disequilibrium between two highly polymorphic microsatellites.

The PCR was used to amplify genomic DNA from two microsatellite (dC-dA)n.(dG-dT)n sequences found to be present in the same chromosome 5 genomic clone. Analysis of the haplotype frequencies of these two interspersed repeat sequences in individuals showed strong allelic association or linkage disequilibrium. Six alleles were found for p599 (CA)n with a PIC value of 0.71 and 8 alleles were seen for lambda 599 (CA)n with a PIC value of 0.74. The two microsatellites are separated by approximately 7 kb. Analysis of the length variations for the two microsatellites showed that they were positively correlated, a finding that has no obvious explanation. The strong linkage disequilibrium found demonstrates stability during evolution for these novel markers. Therefore they should be powerful new tools for studying genetic drift and admixture of populations. Furthermore, disequilibrium data from microsatellites can be used in the fine mapping and cloning of disease genes.     

Linkage disequilibrium analysis in Machado-Joseph disease patients of different ethnic origins

Machado-Joseph disease (MJD) is an autosomal dominant spinocerebellar degeneration originally described in families of Portuguese-Azorean ancestry. The hypothesis that its present world distribution could result from the spread of an original founder mutation has been raised. To test this possibility we have conducted a linkage disequilibrium study of markers segregating with the MJD1 locus in a total of 64 unrelated families of different geographical origins. Significant association was detected between the MJD1 locus and marker alleles at loci D14S280, D14S1050 and D14S81. All affected individuals, except one Chinese family, had allele 3 (237 bp) at D14S280. This finding is consistent with a founder effect in our MJD population. However, distinct haplotypes were observed in patients originating from the two Azorean islands showing the highest disease prevalence; therefore, the possible existence of more than one founder mutation can not be excluded with the markers currently available. Received: 27 February 1996 / Revised: 4 June 1996     

Linkage disequilibrium mapping of complex disease: fantasy or reality?

In the past year, data about the level and nature of linkage disequilibrium between alleles of tightly linked SNPs have started to become available. Furthermore, increasing evidence of allelic heterogeneity at the loci predisposing to complex disease has been observed, which has lead to initial attempts to develop methods of linkage disequilibrium detection allowing for this difficulty. It has also become more obvious that we will need to think carefully about the types of populations we need to analyze in an attempt to identify these elusive genes, and it is becoming clear that we need to carefully reevaluate the prognosis of the current paradigm with regard to its robustness to the types of problems that are likely to exist.     

Linkage disequilibrium and physical mapping of X-linked juvenile retinoschisis.

X-linked juvenile retinoschisis (RS) is a recessively inherited disorder resulting in poor visual acuity. Affected males typically show retinal degeneration and intraretinal splitting. The prevalence of RS is 1:15,000-1:30,000. Elsewhere we have mapped the RS gene between the markers DXS43 and DXS274 in Xp22.1-p22.2. To narrow the RS region, we analyzed 31 Finnish RS families with the markers DXS418, DXS999, DXS7161, and DXS365 and a new polymorphic microsatellite marker, HYAT1. Multipoint linkage analysis allowed us to localize the RS gene between the markers DXS418 and DXS7161 (LOD score = 31.3). We have covered this region with nine YAC clones. On the basis of the sizes of the YACs, sequence-tagged site (STS) content mapping, and restriction mapping, the physical distance between DXS418 and DXS7161 is approximately 0.9 Mb. A total of five potential CpG islands could be identified. For haplotype analysis, eight additional Finnish RS families were analyzed with the markers DXS1195, DXS418, HYAT1, DXS999, DXS7161, and DXS365. On the basis of the linkage-disequilibrium data that were derived from the genetically isolated Finnish population, the critical region for RS could be narrowed to 0.2-0.3 cM, between the markers DXS418 and HYAT1.     

Linkage disequilibrium and the mapping of complex human traits.

The potential value of haplotypes defined by several single nucleotide polymorphisms has attracted recent interest. With sufficient linkage disequilibrium (LD), haplotypes could be used in association studies to map common alleles that might influence the susceptibility to common diseases, as well as for reconstructing the evolution of the genome. It has been proposed that a globally useful resource need only be based on high frequency variants, identified from a few modest samples. Rapid progress has been made in quantifying the pattern of human LD and haplotypes defined by such common variants within and among populations. However, the quality and utility of the proposed LD-based resource could be seriously compromised if important sampling and analytical factors are overlooked in its design. The LD map should be based on adequately justified criteria defined by sound population genetic principles.     

Linkage disequilibrium at the ADH2 and ADH3 loci and risk of alcoholism

Two of the three class I alcohol dehydrogenase (ADH) genes (ADH2 and ADH3) encode known functional variants that act on alcohol with different efficiencies. Variants at both these genes have been implicated in alcoholism in some populations because allele frequencies differ between alcoholics and controls. Specifically, controls have higher frequencies of the variants with higher Vmax (ADH2*2 and ADH3*1). In samples both of alcoholics and of controls from three Taiwanese populations (Chinese, Ami, and Atayal) we found significant pairwise disequilibrium for all comparisons of the two functional polymorphisms and a third, presumably neutral, intronic polymorphism in ADH2. The class I ADH genes all lie within 80 kb on chromosome 4; thus, variants are not inherited independently, and haplotypes must be analyzed when evaluating the risk of alcoholism. In the Taiwanese Chinese we found that, only among those chromosomes containing the ADH3*1 variant (high Vmax), the proportions of chromosomes with ADH2*1 (low Vmax) and those with ADH2*2 (high Vmax) are significantly different between alcoholics and controls (P<10-5). The proportions of chromosomes with ADH3*1 and those with ADH3*2 are not significantly different between alcoholics and controls, on a constant ADH2 background (with ADH2*1, P=.83; with ADH2*2, P=.53). Thus, the observed differences in the frequency of the functional polymorphism at ADH3, between alcoholics and controls, can be accounted for by the disequilibrium with ADH2 in this population.     

Linkage disequilibrium, cystic fibrosis, and genetic counseling.

Strong linkage disequilibrium occurs between the cystic fibrosis (CF) locus and polymorphisms detected with the DNA probes XV-2c and KM-19. In a North American population, 86% of CF chromosomes occur with a haplotype which occurs on only 14% of normal chromosomes. An individual homozygous for the highest-risk haplotype has an 81-fold greater probability of carrying a CF allele than does an individual homozygous for the lowest-risk haplotype. The linkage-disequilibrium data can be used for prenatal diagnosis and genetic counseling in CF families. The data are useful in 1-in-4-risk pregnancies when DNA is not available from the propositus and in counseling close relatives of CF families. Serious problems arise with some pregnancies which remain at intermediate risks after analysis, and families are left with difficult decisions. It is not clear that genetic testing for couples at less than 1-in-4 risk is cost-effective or standard care, but use of linkage-disequilibrium data will provide more accurate risk probabilities in a substantial proportion of cases if such testing is carried out. Our results emphasize the need for a specific biological or molecular carrier test. This experience in using linkage-disequilibrium and linkage data in combination for genetic counseling provides a model system for the diagnosis of other disorders.     

Covariate-dependent age-at-onset distributions for Huntington disease.

A combined logistic regression and life-table analysis is presented on age-at-onset data for Huntington disease. Covariates included in the analysis were sex of the at-risk individual, parental age at onset, and sex of transmitting parent. Parental age at onset and parental sex were found to be significant covariates for age at onset in the offspring, and the appropriate logistic regression functions are calculated by maximum likelihood methods. These regression functions permit a more precise evaluation of carrier risks and likelihoods than hitherto was possible by simple computational means. We further introduce a novel method to account for sibship correlations in the significance assessment, using log-likelihood differences between different models.     

Linkage disequilibrium maps constructed with common SNPs are useful for first-pass disease association screens

To develop an efficient strategy for mapping genetic factors associated with common diseases, we constructed linkage disequilibrium (LD) maps of human chromosomes 5, 7, 17, and X. These maps consist of common single nucleotide polymorphisms at an average intermarker distance of 100 kb. The genotype data from these markers in a panel of American samples of European descent were analyzed to produce blocks of markers in strong pair-wise LD. Power calculations were used to guide block definitions and predicted that high-level LD maps would be useful in initial genome scans for susceptibility alleles in case-control association studies of complex diseases. As anticipated, LD blocks on the X chromosome were larger and covered more of the chromosome than those found on the autosomes.     

Linkage disequilibrium and fingerprinting in sugar beet

It has been suggested that map information for molecular markers can be used to strengthen finterprinting analyses. The success of this strategy depends on the distribution of linkage disequilibrium over the genome. Using 451 mapped AFLP markers, we investigated the occurrence of linkage disequilibrium in nine sugar beet breeding lines. A low but significant level of linkage disequilibrium was found for unlinked markers. Only for very tigthly linked (<3 cM) markers was this level substantially higher. This implies that little is gained in utilising the map position of the markers in fingerprinting applications. Received: 25 May 1999 / Accepted: 18 Oktober 1999