- Open Access
Large-scale linkage analysis of 1302 affected relative pairs with rheumatoid arthritis
© Hamshere et al; licensee BioMed Central Ltd. 2007
Published: 18 December 2007
Rheumatoid arthritis is the most common systematic autoimmune disease and its etiology is believed to have both strong genetic and environmental components. We demonstrate the utility of including genetic and clinical phenotypes as covariates within a linkage analysis framework to search for rheumatoid arthritis susceptibility loci. The raw genotypes of 1302 affected relative pairs were combined from four large family-based samples (North American Rheumatoid Arthritis Consortium, United Kingdom, European Consortium on Rheumatoid Arthritis Families, and Canada). The familiality of the clinical phenotypes was assessed. The affected relative pairs were subjected to autosomal multipoint affected relative-pair linkage analysis. Covariates were included in the linkage analysis to take account of heterogeneity within the sample. Evidence of familiality was observed with age at onset (p << 0.001) and rheumatoid factor (RF) IgM (p << 0.001), but not definite erosions (p = 0.21). Genome-wide significant evidence for linkage was observed on chromosome 6. Genome-wide suggestive evidence for linkage was observed on chromosomes 13 and 20 when conditioning on age at onset, chromosome 15 conditional on gender, and chromosome 19 conditional on RF IgM after allowing for multiple testing of covariates.
Rheumatoid arthritis (RA) is the most common systematic autoimmune disease and is believed to have both strong genetic and environmental components in its etiology. Females are at a higher risk than males and their age at presentation shows considerable variability . Here we describe an analysis of a combined sample of raw genotypes provided by Genetic Analysis Workshop 15 (GAW15), comprising four family-based samples known by their collection center as NARAC (North American Rheumatoid Arthritis Consortium), UK (United Kingdom), ECRAF (European Consortium on Rheumatoid Arthritis Families), and Canada. The aim of the analysis was to investigate the familiality of clinical phenotypes and then employ them and genetic phenotypes as covariates in a linkage analysis framework to allow us to investigate models, such as locus heterogeneity, that give rise to different phenotypes within RA.
Autosomal microsatellite data for the NARAC, UK, and ECRAF samples were combined with the Illumina single-nucleotide polymorphism (SNP) sample from Canada. The genotypic data were stored in sample-specific files and their marker maps were aligned to improve map correspondence between samples. The Canada and ECRAF loci were placed on the NARAC and UK genetic map using the NCBI physical positions of NARAC, ECRAF, and Canada loci – see Segurado et al.  for more detail. Non-Caucasians were removed from the NARAC sample to minimize heterogeneity. No ethnicity information was available for the UK, ECRAF, and Canada samples. The software GRR  was used to identify potentially incorrect inheritance structures within pedigrees. These pedigrees were subsequently removed from further analyses. No Mendelian inheritance errors were detected with PedCheck .
Linkage disequilibrium (LD)
We removed evidence of LD to minimize the chance of excessive false positives . Microsatellite markers separated by less than 0.5 cM were identified and those with the lowest single-point information content were removed. The SNP map was thinned to a 0.5 cM grid on the basis of location. Any remaining SNP pairs with an r2 > 0.05 and separated by less than 5 cM were thinned further until no LD remained.
The genetic and clinical phenotypes analyzed were gender (binary), age at onset (AAO; continuous), definite erosion (binary), and rheumatoid factor (RF) IgM (four levels; treated as continuous). The ECRAF and Canada phenotype information available was limited to gender and RA status. The RA susceptibility locus HLA-DRB1 on chromosome 6 was also investigated. We defined a binary measure for HLA to represent whether an individual carried a high risk allele, as described in the GAW15 Problem 2 data description . An individual was coded as HLA+ if they carried at least one copy of the five high risk alleles, i.e., DRB1*0401, 0404, 0405, 0408, or 0409. HLA- was defined as no copies of the seven medium increased risk (i.e., DRB1*0101, 0102, 0104, 0105, 1001, 1402, 1406) or the five high risk alleles.
The familiality of the phenotypes AAO, definite erosion, and RF in the individuals affected with RA was assessed in a mixed-effects regression framework by taking the phenotype of interest as the dependent variable, implemented in the software packages MIXOR  and MIXREG . Intra-class correlation coefficients (ICCs) were estimated and indicate the proportion of unexplained variance attributable to family membership, i.e., the strength of the familial effect.
Multipoint model-free affected relative-pair (ARP) linkage analysis was performed with the raw phenotypes AAO, definite erosion, RF, HLA, and gender included as covariates (in separate analyses). Sample-specific allele frequencies and pair-wise IBD (identity-by-descent) allele sharing probabilities using information from the full pedigree were estimated by MERLIN  at 2 cM intervals. For each chromosome, the IBD estimates from the four samples were combined into a single file. Assuming the maternal and paternal alleles to be inherited independently, the allele sharing probability, p r , can be modelled in a logistic regression framework and can be written as logit(p r ) = O + α + βx, where O is a fixed offset that depends on the relationship between the pair, α is a measure of divergence of IBD from the null in the sample as a whole, and β incorporates covariate x into the model. Because the parameters p r , O, and α are based on pairs of individuals, so must be the covariate parameter. When considering a continuous measure, covariates were constructed for the mean and difference for each pair. A binary measure (- or +) was resolved into either -/-, -/+, or +/+ pairs of individuals. For further information on including covariates in the model and constraining the parameters, see Hamshere et al. . The IBD estimates and covariate data were then used to estimate the allele sharing probability p r , given particular covariates, and then to obtain ARP linkage statistics. Because HLA resides on chromosome 6, no HLA covariate analysis was performed on chromosome 6.
For each chromosome and covariate, two multipoint LOD scores were produced at each 2-cM position: i) the covariate LOD score and ii) a univariate LOD score, in only the ARPs included in the covariate analysis, i.e., excluding those with missing covariate data. An increase in the maximum LOD score over the chromosome (i–ii; ILOD) in excess of 2.0 was taken to indicate a potential covariate effect. Empirical significance levels for each LOD score peak in the observed data were obtained as follows: 10,000 replicates of chromosome 22 were simulated in the absence of linkage, using the same pedigree structures, marker locations, marker allele frequencies and missing genotype patterns as the original data. The average number of peaks per chromosome reaching the required height was calculated from these replicates (note: peaks were defined as local maxima in the LOD score curve separated by at least 30 cM). The number of peaks per genome was approximated by multiplying by 60 (since the length of chromosome 22 is approximately 1/60 of the total length of the autosomes in this sample). This procedure gives similar results to those obtained by simulating replicates of all 22 chromosomes (data not shown), and is considerably easier computationally. Correction for the multiple testing of six non-independent genome scans was applied as follows. First, criteria were chosen for each covariate to give the same significance level (i.e., number of peaks expected by chance per genome scan) as the test peak. Then, for each replicate chromosome, the locations and heights of all the peaks from all six covariates were combined into a single list, and the total number of peaks greater than their corresponding criterion was obtained. The distance criterion of 30 cM for defining separate peaks ensured that peaks from several covariates that are close together (i.e., non-independence) were counted only once. The expected number of peaks per genome was calculated as before. Following Lander and Kruglyak , we called peaks in the observed data "genome-wide significant" if the expected number of peaks per genome at least as high as in the simulated data was ≤ 0.05, and "genome-wide suggestive" if this quantity was < 1.0.
Phenotype descriptive statistics, intraclass correlation coefficients (ICCs)
p ICC b
Summary of LOD scores of interest
Maximum LOD score (cM)
Covariate allele sharing informationa
No. peaks/genome (6 scans)
later & more similar
0.61, 0.44, 0.53
0.59, 0.41, 0.50
The highly significant clustering of AAO and RF within pedigrees replicates the evidence observed in monozygotic twins , suggesting they make good candidates for inclusion in the linkage analysis framework. We do not see similar clustering with definite erosions, although because 90% of the individuals have had a definite erosion, there is little power to detect clustering within families or difference in the allele sharing probabilities.
Summary of chromosome-wide significant identity-by-descent (IBD) allele sharing interaction LOD scores
Interaction LOD (run cM, conditional cM)
Direction of IBD correlation
3.66 (208, 52)
3.55 (120, 34)
A benefit of combining the raw genotypes of samples is that the power to detect disease susceptibility loci of small effect is increased. However, it is possible that pooling samples introduces heterogeneity. Incorporating origin of sample as a covariate in the analysis detected evidence of allele sharing heterogeneity only on chromosome 12 (chromosome-wide p = 0.04; IBD estimates of NARAC: 0.46, UK: 0.47, ECRAF: 0.61, Canada: 0.58 at 104 cM), suggesting that heterogeneity is minimal. Each of the covariate regions of interest were analyzed in the separate samples, e.g., NARAC only. All regions showed similar effects in the separate samples as in the combined sample. The inclusion of gender, AAO, and RF as covariates produced some potential regions of interest. We observed evidence for an AAO covariate effect on chromosome 1 (expected to occur by chance 1.467 times per genome scan) within 7 cM of an effect observed by analyzing only NARAC and UK individuals with an AAO < 40 years . Our method of incorporating covariates allows all individuals to be included in the analysis and for a direct comparison with the model without the covariate as they are based on the same sample size. We do not replicate the results for AAO, erosion, or HLA in the ECRAF sample  (we do not have access to this phenotype data); both [16, 17] analyzed peak regions of interest.
The RF data we analyzed were ordinal (four levels). This was the highest common form of the data as the original data were a combination of ordinal (UK) and continuous (NARAC). We subjected chromosome 19 to further scrutiny by analyzing the NARAC sample with RF as continuous data. We did not replicate the results. The distribution of the continuous RF data is very highly positively skewed, with no obvious outliers. Of the total sample, 45% of the continuous RF data was coded as 4 (high positive) in the ordinal RF measure. We transformed the data with log10, loge, and square root to produce a distribution more similar to the normal distribution – our linkage results were unchanged. This suggests that i) the distribution of the continuous covariate is not important and ii) the chromosome 19 RF result may be an artifact of creating an ordinal measure from continuous data and analyzing it as a continuous measure.
We also considered two family-based methods that use a single covariate defined for each pedigree: a family-wise ARP method in which the covariate (e.g., minimum AAO) is assigned to all ARPs from that family and an ordered subset analysis (OSA) in which pedigrees are ranked on their covariate values and sequentially added to the analysis with FLOSS . We focus on the AAO phenotype because it was the only measure that presented enough variability in the sample to be suitable for OSA. We considered three covariates, the mean, minimum and maximum AAO, all of which were highly correlated (Pearson r, p << 0.001). Family-wise ILODs > 2 were observed on chromosomes 13 and 20, with both mean and maximum (the minimum measures gave ILODs > 1). OSAs also identified these two regions; chromosome 13 (maximum: p = 0.0096, based on n = 80 pedigrees), chromosome 20 (maximum: p = 0.0001, n = 146, mean: p = 0.0002, n = 159; minimum: p = 0.0128, n = 167). The regions identified with family-wise measures lie within 10 cM and with the same direction of effect as those identified to be genome-wide suggestive (after adjusting for six scans) with the pair-wise measure. The similarity of the results from the three covariate methods is likely to reflect minimal heterogeneity of AAO within pedigrees, corresponding to the highly significant ICC (p << 0.001) presented in Table 1.
We provide evidence to support the familiality of AAO and RF IgM. Incorporating covariates in the linkage analysis allowed us to identify novel regions that may harbor RA susceptibility loci. This information may be useful in conducting future population based case-control analyses, where it will be important to take into account the particular covariate. Replication in independent samples will be important to determine whether our findings are owing to chance alone.
This article has been published as part of BMC Proceedings Volume 1 Supplement 1, 2007: Genetic Analysis Workshop 15: Gene Expression Analysis and Approaches to Detecting Multiple Functional Loci. The full contents of the supplement are available online at http://www.biomedcentral.com/1753-6561/1?issue=S1.
- Amos CI, Chen WV, Remmers E, Siminovitch KA, Seldin MF, Criswell LA, Lee AT, John S, Shephard ND, Worthington J, Cornelis F, Plenge RM, Begovich AB, Dyer TD, Kastner DL, Gregersen PK: Data for Genetic Analysis Workshop (GAW) 15 problem 2, genetic causes of rheumatoid arthritis and associated traits. BMC Proc. 2007, 1 (Suppl 1): S3-View ArticlePubMed CentralPubMedGoogle Scholar
- Segurado R, Hamshere ML, Glaser B, Nikolov I, Moskvina V, Holmans PA: Combining linkage data sets for meta-analysis and mega-analysis: the GAW15 rheumatoid arthritis data set. BMC Proc. 1 (Suppl 1): S104-Google Scholar
- Abecasis GR, Cherny SS, Cookson WO, Cardon LR: GRR: graphical representation of relationship errors. Bioinformatics. 2001, 17: 742-743. 10.1093/bioinformatics/17.8.742.View ArticlePubMedGoogle Scholar
- O'Connell JR, Weeks DE: PedCheck: a program for identification of genotype incompatibilities in linkage analysis. Am J Hum Genet. 1998, 63: 259-266. 10.1086/301904.View ArticlePubMed CentralPubMedGoogle Scholar
- Huang Q, Shete S, Amos CI: Ignoring linkage disequilibrium among tightly linked markers induces false-positive evidence of linkage for affected sib pair analysis. Am J Hum Genet. 2004, 75: 1106-1112. 10.1086/426000.View ArticlePubMed CentralPubMedGoogle Scholar
- Hedeker D, Gibbons RD: MIXOR: a computer program for mixed-effects ordinal regression analysis. Comput Meth Prog Biomed. 1996, 49: 157-176. 10.1016/0169-2607(96)01720-8.View ArticleGoogle Scholar
- Hedeker D, Gibbons RD: MIXREG: a computer program for mixed-effects regression analysis with autocorrelated errors. Comput Meth Prog Biomed. 1996, 49: 229-252. 10.1016/0169-2607(96)01723-3.View ArticleGoogle Scholar
- Abecasis GR, Cherny SS, Cookson WO, Cardon LR: Merlin – rapid analysis of dense genetic maps using sparse gene flow trees. Nat Genet. 2002, 30: 97-101. 10.1038/ng786.View ArticlePubMedGoogle Scholar
- Hamshere ML, Macgregor S, Moskvina V, Nikolov IN, Holmans PA: Covariate linkage analysis of GAW14 simulated data incorporating subclinical phenotype, sex, population, parent-of-origin, and interaction. BMC Genet. 2005, 6 (Suppl 1): S45-10.1186/1471-2156-6-S1-S45.View ArticlePubMed CentralPubMedGoogle Scholar
- Lander E, Kruglyak L: Genetic dissection of complex traits: guidelines for interpreting and reporting linkage results. Nat Genet. 1995, 11: 241-247. 10.1038/ng1195-241.View ArticlePubMedGoogle Scholar
- MacGregor AJ, Bamber S, Carthy D, Vencovsky J, Mageed RA, Ollier WE, Silman AJ: Heterogeneity of disease phenotype in monozygotic twins concordant for rheumatoid arthritis. Br J Rheumatol. 1995, 34: 215-220. 10.1093/rheumatology/34.3.215.View ArticlePubMedGoogle Scholar
- Deighton CM, Walker DJ, Griffiths ID, Roberts DF: The contribution of HLA to rheumatoid arthritis. Clin Genet. 1989, 36: 178-182.View ArticlePubMedGoogle Scholar
- Wordsworth P, Bell J: Polygenic susceptibility in rheumatoid arthritis. Ann Rheum Dis. 1991, 50: 343-346.View ArticlePubMed CentralPubMedGoogle Scholar
- Etzel CJ, Chen WV, Shepard N, Jawaheer D, Cornelis F, Seldin MF, Gregersen PK, Amos CI: Genome-wide meta-analysis for rheumatoid arthritis. Hum Genet. 2006, 119: 634-641. 10.1007/s00439-006-0171-8.View ArticlePubMedGoogle Scholar
- Holmans P: Detecting gene-gene interactions using affected sib pair analysis with covariates. Hum Hered. 2002, 53: 92-102. 10.1159/000057987.View ArticlePubMedGoogle Scholar
- John S, Amos C, Shephard N, Chen W, Butterworth A, Etzel C, Jawaheer D, Seldin M, Silman A, Gregersen P, Worthington J: Linkage analysis of rheumatoid arthritis in US and UK families reveals interactions between HLA-DRB1 and loci on chromosomes 6q and 16p. Arthritis Rheum. 2006, 54: 1482-1490. 10.1002/art.21794.View ArticlePubMedGoogle Scholar
- Osorio y Fortéa J, Bukulmez H, Petit-Teixeira E, Michou L, Pierlot C, Cailleau-Moindrault S, Lemaire I, Lasbleiz S, Alibert O, Quillet P, Bardin T, Prum B, Olson JM, Cornélis F: Dense genome-wide linkage analysis of rheumatoid arthritis, including covariates. Arthritis Rheum. 2004, 50: 2757-2765. 10.1002/art.20458.View ArticlePubMedGoogle Scholar
- Browning BL: FLOSS: flexible ordered subset analysis for linkage mapping of complex traits. Bioinformatics. 2006, 22: 512-513. 10.1093/bioinformatics/btk012.View ArticlePubMedGoogle Scholar
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