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Garvan Institute of Medical Research (T.V.N., J.R.C., J.A.E.), Sydney, New South Wales 2010, Australia; and Department of Anatomy and Anthropology, Tel Aviv University (G.L., K.Y.), Tel Aviv 69978, Israel
Address all correspondence and requests for reprints to: Dr Tuan V. Nguyen, Bone and Mineral Research Program, Garvan Institute of Medical Research, 384 Victoria Street, Darlinghurst, New South Wales 2010, Australia. E-mail: t.nguyen{at}garvan.org.au.
| Abstract |
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1.28)). After adjusting for age and body weight, familial factors accounted for up to 72% of the total variation in BMD. In complex segregation analysis, for all variables examined the best-fitting most parsimonious model consistently suggested the Mendelian transmission of a major gene locus with significant residual correlations among siblings. This genetic model suggested that the proportion of a total variance (adjusted for significant covariates) attributable to a putative major gene effect ranged between 0.30 ± 0.09 for femoral neck BMD and 0.53 ± 0.07 for the principal component obtained on BMD and corresponding bone mineral content measures. These findings clearly support the hypothesis that a large component of the variance in BMD is under genetic control, with strong evidence for a major gene locus influencing BMD transmission. | Introduction |
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The variation in BMD is determined by a complex network of hormonal, nutritional, physical, lifestyle, and, most importantly, genetic factors. Based on twin and family data, it has been estimated that between 6080% of the variance in BMD measured at the lumbar spine (LS) and femoral neck (FN) is attributable to genetic factors (6, 7, 8, 9, 10, 11). However, these types of studies, in particular twin designs, can lead to an overestimation of the heritability component that can occur as a result of any greater sharing of environmental factors in monozygotic than dizygotic twins. Although familial studies are less prone to this type of error, they rarely examined the specific pattern of BMD inheritance. Yet, the identification of the true mode of a complex trait inheritance has a crucial significance for further mapping of the respective genetic sources of the trait variation.
General consideration from the viewpoint of bone physiology and BMD complexity as a primary phenotype suggests a multifactorial nature of this trait and likely involvement of numerous independent genetic sources. It has been speculated that the number of genes that may be contributing to the regulation of bone mass is approximately 70 (12). Indeed, association studies indicated at least several potential candidate genes, each with a small effect (13). However, these data as well as a few genome scans (14, 15) and selected chromosomal scans (16, 17) are largely inconsistent, and molecular data are as yet unable to identify specific major genes (MG) involved in BMD determination.
Meanwhile, a few recent publications reported a MG pattern of BMD inheritance in several ethnic populations. Thus, in pedigree samples randomly drawn from two Caucasian populations (Chuvasha, East Europe; and Turkmenians, Central Asia) complex segregation analysis suggested that a MG accounted for approximately 35% of the radiographic phalange BMD variation in each sample (18, 19, 20). To date, similar genetic analysis of BMD measures obtained by dual energy x-ray absorptiometry methods of lumbar vertebrae and femur were conducted only in three studies. Of these, the results reported by Gueguen et al. (21), obtained on a modest sample of nuclear pedigrees, were not unequivocally interpretable. Two other studies provided clear evidence in support of MG involvement in BMD transmission. However, they were obtained on a rather nongeneral population, but on pedigrees selected via probands with extreme BMD (22) or even suffering from early idiopathic osteoporosis (23). Obviously, more data are needed and from different cultural and environmental backgrounds to clearly establish the pattern of BMD inheritance.
It is known that the measurements of BMD obtained at different skeletal sites are highly correlated (6, 7). For example, covariation of BMD measured at the LS and FN appeared to be under the effects of a common set of genetic factors (6, 7, 24), i.e. pleiotropic effects. Previous studies [with the exception of one study (22)] have been primarily based on univariate analysis, in which each phenotype was analyzed separately. Although there are good biological reasons for separate analyses, when pleiotropy is present, a multivariate analysis based on the linear combination of many traits into factor scores is more powerful than the use of univariate or mean phenotypic data (25, 26).
The primary aims of this study were, therefore, to estimate the heritability and the possible pattern of inheritance of each BMD measure and a BMD/bone mineral content (BMC) common principal component. We attempted to determine whether a MG model is consistent with the inheritance of each phenotype in the studied pedigrees and to obtain estimates for the parameters of the most parsimonious model.
| Subjects and Methods |
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The Dubbo Osteoporosis Epidemiology Study (DOGS) was initiated in 1997, with the principal aims being 1) to investigate the contributions of genes and environments to the development of osteoporosis, and 2) ultimately to search for genes underlying BMD variation and osteoporotic fracture risk. Dubbo is a semirural city, situated about 400 km (250 miles) northwest of Sydney, Australia. Dubbo was selected for the study because of its size and the similarity of the age and sex distributions of its population to the Australian population. Moreover, it is relatively isolated in terms of medical care, so that for certain health events (such as fractures) almost all patients are likely to be observed within the local public hospital and/or the single private radiological practice. The study was approved by the St. Vincents ethics committee, and written informed consent was obtained from all individuals.
The DOGS study was designed as a population-based, genetic epidemiological investigation, using data collected under the auspices of the Dubbo Osteoporosis Epidemiology Study (DOES), a longitudinal epidemiology of risk factors for osteoporotic fractures (3, 27). Based on the DOES database, families were identified and invited to participate in the DOGS study. To optimize information on genetic factors, families were identified through an index case with the following criteria: 1) moderately high bone density at the femoral (z-score greater than +1.28, or top 10% of the age-specific BMD distribution), and 2) availability and accessibility of extended families of adult members, identified through these older (age >60 yr) parent index cases and their siblings and families. The probands were identified from the database of the DOES. The justification for recruiting large pedigrees (rather than nuclear families) is mainly based on the consideration that there could be increased power to detect linkage. All subjects were Caucasians and were descendants of Anglo-Saxon background.
Exclusion criteria were applied to subjects with Pagets disease or hyperparathyroidism, Cushings syndrome, diabetes mellitus, complete or partial gastrectomy, chronic malabsorptive syndromes and jejuno ileal bypass, chronic renal disease, chronic liver disease, prolonged immobilization, recuperation from stroke or other serious illness, or metastatic malignancies; to subjects who had used medications known to affect bone metabolism, such as corticosteroids (in excess of 7.5 mg prednisolone/d or 1600 µg/d inhaled beclomethasone or equivalents), T4, anticonvulsants, or bone-active agents such as calcitonins, bisphosphonates, fluorides, and calcitriol, in the past 5 yr for greater than 6 months; and to subjects who were unable to give informed consent.
Data collection and measurements
Data collection was via direct interview by trained nurses, who administered a structured questionnaire. The following anthropometric data were recorded: age, height, and weight. Age was calculated from the date of birth to the date of interview. Height without shoes (in centimeters) was measured to the nearest 0.1 cm by a wall-mounted stadiometer. Peak height (around the age of 30 yr) was based on actual records or personal recall. Weight, without shoes or clothing, was measured (to the nearest 0.1 kg) on an electronic scale. Body mass index was derived as the ratio of weight (kilograms) over squared height (meters).
BMD (grams per square centimeter) and BMC (grams) were measured in the LS and FN by dual energy x-ray absorptiometry using a DPX densitometer (Lunar Corp., Madison, WI). BMD was derived as BMC over the skeletal area of interest. The radiation dose with this method is less than 0.1 µGy. The coefficient of variation with this method at our institution in normal subjects for BMD was 1.5% for the LS and 1.3% for the FN.
Statistical genetic analyses
Before segregation analysis, an initial analysis of the data indicated that there was no significant difference in heritabilities of BMD between males and females; hence, the data from the two sexes were combined. Subsequently, BMD was adjusted for sex, age, and weight, the three most powerful determinants of BMD, in a multiple linear regression model. Age was modeled as both a linear term and a quadratic term. The residual scores from the regression model, which were independent of age, sex, and weight, were then used for testing the hypothesis of inheritance.
As BMD/BMC at the FN and LS are correlated, and that covariation at the two sites is under genetic influence (7), a principal component analysis was used to extract the components, and this was followed by an orthogonal rotation. Based on the factor loading scores for BMD and BMC, a combined score representing both LS and FN BMD and BMC were derived. This score as well as each of the two BMD measurements separately were then subject to complex segregation analysis (28). Complex segregation analysis, with the MAN statistical program (29), was used to model the patterns in heritance. This analysis models that BMD/BMC (Y) being independently and additively determined by a MG effect (MG), a transmitted multifactorial (possibly polygenic) effect (M), and a unique environmental effect (E), e.g. schematically Y = µ + MG + M + E, where µ is the overall mean. The MG effect is assumed to result from a single autosomal locus with two alleles, A and a, whose distribution of the three hypothetical genotypes (AA, Aa, and aa) is in Hardy-Weinberg equilibrium from the allele frequency P. In this analysis, allele A was assumed to be responsible for low values of BMD. Apart from the parameter of allele frequency, P, the following parameters were also considered: genotypic means (µg) in all individuals with genotype g at the MG locus, where g = AA, Aa, or aa; genotypic variance (
2g); the transmission probabilities of the MG from parent to offspring (
g, so that
AA is the probability an AA individual transmits allele A to the offspring,
Aa is the probability an Aa individual transmits allele A, and
aa is the probability an aa individual transmits allele A); and residual familial correlations (e.g. multifactorial effects) adjusted for MG effect in spouses (
), parent/offspring (ß), and siblings (
). The pairwise correlations between residuals in any pair of pedigree members [as in program packages SAGE (30) and PAP (31)] are expressed through these parameters and depend additionally on the pedigree structure and the particular position of each relative pair. Under Mendelian transmission,
AA = 1;
Aa = 0.5, and
aa = 0. When the three
AA =
Aa =
aa, no transmission of the MG is obtained. The following three conditions are required to infer a MG: 1) rejection of the no MG effect hypothesis, 2) nonrejection of the Mendelian transmission hypothesis, and 3) rejection of the environmental (no transmission) hypothesis.
With the above parameters, a number of classes of models were considered in each segregation analysis: S1) the general mixed model, which assumes that all components were required to explain the observed pattern of BMD data on the pedigrees, it does not assume a particular mode of transmission, and therefore the parameters
g were estimated together with other parameters; S2) the sporadic model assumes no intergenerational transmission of BMD values, i.e. constraining the MG effect and all residual familial correlations to zero; S3) the multifactorial model in which it was assumed that the familial correlations (
, ß, and
) can explain the familial aggregation of the trait considered, i.e. excluding the parameters representing the MG, and constraining P = 1, and µAA = µAa = µaa; S4) the mixed multifactorial-environmental model, in which there was environmental, and multifactorial (possibly polygenic) effects, but no transmission of MGs (e.g. so that all transmission probabilities were set equal to a constant, e.g.
AA =
Aa =
aa and/or P =
AA =
Aa =
aa); and S5) the Mendelian model, in which the
g parameters were constrained as expected by the Mendelian transmission as follows:
AA = 1,
Aa = 0.5, and
aa = 0.
Likelihood ratio tests were used to compare and choose among nested models. For two models, 1 and 2, with likelihoods L1 and L2, respectively, where model 1 is nested within model 2, -2Ln(L1/L2) is asymptotically distributed as a
2 distribution with k degrees of freedom, where k is the difference, in number of estimated parameters, between the two models. The best-fitting and most parsimonious model (MP) was the model that included the minimal number of parameters estimated and did not significantly differ from the respective general model. To test the reliability of the most parsimonious model, a number of additional models were fitted to the data as shown in Results.
The variance of the variable adjusted for significant covariates, attributable to the putative MG, was estimated as VMG =
fg (µg - µ)2/VTot.
The collected array of pedigrees violated the random sampling assumption due to identification of the first five large pedigrees via proband with BMD greater than 1.28 SD. To test and correct for this deviation, we undertook three different approaches. First, we evaluated to what extent the distribution of the putative MG genotypes in the parental generation violated the expectation of a random mating. One way to do this is to estimate parameter
(
), which measures the correlation between the putative MG genotypes in parents. No correlation is expected under the random mating assumption (31, 32). Another approach is to maximize for parameters of P(AA) and P(AB), reflecting the frequencies of the corresponding putative genotypes independently, and not P(A), the parameter of allele A frequency (see above). Second, using the data from the five large pedigrees, the corresponding general model was constructed under the assumptions of no ascertainment bias and introducing the ascertainment correction following the method of Thompson and Canning (33) as implemented in the PAP package. Third, the whole sample was subjected to ascertainment correction following a general method of Ewens and Shute (34, 35) as implemented in the MAN-5 package. In this method the correction is achieved by conditioning of the pedigree likelihood on the part of the pedigree data included into a pedigree substructure file, defined as the pedigree substructure where probands can be found. The ascertainment correction was introduced differentially. That is, only the likelihood of the five pedigrees was corrected for the corresponding probability to be ascertained.
| Results |
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In the complex segregation analysis for PC1 (Table 4
), the sporadic model (S2), multifactorial model (S3), and mixed environmental models (S4) did not fit the data adequately and were all rejected by the likelihood ratio test (with P ranging from 0.048 to <0.001). However, the model with a MG characterized by the Mendelian transmission (S5) fitted the data well (
2 = 2.02; df = 3; P = 0.57). The estimated
parameters (1.0, 0.46, and 0.06) from the general transmission model strongly favor those predicted under Mendelian segregation. Therefore, the magnitude of heritability and mode of inheritance under the assumption of Mendelian transmission were further tested under the formulation of the parsimonious model. As the estimated residual correlations for spouses (
) and parent-offspring (ß) were low, the two parameters were then constrained to zero, and the fit of the new model was still adequate (
2 = 4.20; df = 7; P = 0.76). Therefore, the best-fitting and the most parsimonious model was the one with the expected Mendelian transmission probabilities and residual siblings correlation (column MP). Further testing of the MP vs. the corresponding model with arbitrary estimates of the parameters
g (MP1) and the model denying the possible MG effect (MP2) suggested the likelihood of the MG effect. The amount of genetic variance attributable to the MG effect was 53 ± 7% (h2 ± SE).
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2 = 36.7; df = 8; P < 0.001 for LSBMD; and
2 = 38.8; df = 8; P < 0.001 for FNBMD). A comparison of the environmental model (S4) and the mixed Mendelian model (S5) provided strong evidence that the Mendelian model gave the better fit, as did a more restricted Mendelian model (MP) compared with the environmental model. Therefore, a Mendelian component appeared to be important. A mixed model containing both a multifactorial component and a MG component fit the data significantly better than the submodel model containing only the multifactorial component or the MG component alone (P ranged between 0.030.009 for LSBMD and FNBMD). Further evaluation among Mendelian submodels suggested that the MG model with the additive alleles interaction was superior to the recessive and dominant MG models. The most parsimonious model also contained significant residual sibling correlations. The contribution of the MG locus explained between 30 ± 9% and 51 ± 7% of the variance in LS and FN BMD, respectively.
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| Discussion |
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On the other hand, Devoto and colleagues (40) recently obtained molecular data that strongly supported the hypothesis that a MG (located on chromosome lp36.236.3) controls a large proportion of the genetic variation in FN-BMD in Canadian families.
In this study complex segregation analysis provided evidence that a putative MG codominant model best explains the inheritance pattern for BMD. Furthermore, complex segregation analysis suggests that a codominant MG model best explains the inheritance pattern for BMD/BMC. The results are also consistent with earlier analyses that there are genetic components shared by LS and FN BMD, with additional genes contributing to LS and not FN BMD.
The finding of a MG effect is consistent with previous studies in two ethnic populations from Russia (18, 19, 20) and in Caucasian populations in the United States (22) and New Zealand (23), but it is at variance with the findings reported by Guegen et al. (21). Differences in sampling strategies, clinical characteristics of study subjects, and analytical methods may contribute to these different conclusions. Although the sampling strategy and study subjects in the study by Deng et al. (22) are similar to ours, others are not. For example, in the study by Cardon et al. (23) the pointers for selected families had idiopathic osteoporosis, and in this study the researchers found only MG effects, but no polygenic component, in the genetic determination of BMD. On the other hand, it is difficult to compare the present results with those obtained by Guegen et al. (21) because of a contradiction between the likelihoods of the polygenic model vs. the MG model in their analysis (19).
The search for genetic loci affecting BMD/BMC is intensive, but there are few data on segregation analyses. To date, a few genes have been identified that affect BMD, but none with a major effect. The chance of identifying a QTL genomic regions through a linkage or transmission linkage disequilibrium approach depends more critically on the degree of genetic determination by MGs than on the overall heritability of a complex trait (14). The present analysis suggests that the magnitude of a MG effect (3050% of the total genetic variance) is quite significant. If there is indeed a single gene accounting for this variance, that gene should be fairly easy to localize. On the other hand, the analyses also suggest that there are probably many other genes with probably small effects, and the localization of these genes may prove to be a major, if not intractable, challenge.
Successful dissection of the genetic components of osteoporosis will require careful consideration of the evidence for underlying heterogeneity of the bone phenotype. The approach taken here is a step in this direction, identifying evidence for a genetic basis of BMD and BMC phenotypes that are primary predictors of fracture. In any skeletal region, these two traits are highly correlated, but past studies have been primarily based on univariate analysis, in which each phenotype (mostly BMD) has been analyzed separately. However, as in the case of multiple comparison, multiple univariate statistical analyses ultimately increase the type I error rate under the complete null hypothesis of no segregation. Procedures for correction, such as Bonferroni adjustment, can be applied; however, the results may be too conservative, because the phenotypes are correlated. Therefore, a multivariate analysis may be preferable. It has been estimated that linear combination of BMD and BMC into a factor score, as we have done here, is more powerful than the use of multivariate or mean phenotypic data (22). Indeed, the MG effect suggested by the present analysis was the greatest in this combined phenotype compared with BMD or BMC in the FN or LS alone. These data suggest that future study of genetic linkage should be based on a combined phenotype rather than individual phenotypes.
It is interesting to observe that the effect of common familial environments on the covariation of BMD and BMC is not significant, which is consistent with a number of previous twin (6, 7, 8) and family (13, 14) studies. This suggests that although many environmental factors, such as lifestyle, nutrition, and physical activity, are important contributors to BMD variation, their influences are not sufficient to influence the resemblance among family members due to shared environment.
However, there are a number of issues to consider in interpreting the results. The study used a large number of families, some of which were very large, which increased the power to detect a Mendelian locus. Complex segregation analysis involves fitting an inherently single Mendelian locus, or major locus, model with possibly a polygenic component, to absorb the remaining familial effects. The power to detect the polygenic component, especially in nuclear families, is not high (41, 42). No tools exist for easy estimation of power in this context, so it is not possible to state exactly what this would be in the current dataset; however, we could discriminate among several possible genetic models. Some families used in this analysis were selected through a moderately high FN BMD proband, so they may be segregating component phenotypes that are specifically related to FN, and FN may provide stronger evidence for an MG effect than does LS. These results from subjects of Caucasian background may not be generalizable to other populations.
In summary, these findings support the hypothesis that a large component of the variance in BMD is under genetic control, and that there exists a MG locus influencing BMD and BMC. These results also provide evidence that the study of large pedigrees identified via selected probands may increase the probability of finding a MG for variation in bone phenotype.
| Acknowledgments |
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| Footnotes |
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Abbreviations: BMC, Bone mineral content; BMD, bone mineral density; DOES, Dubbo Osteoporosis Epidemiology Study; DOGS, Dubbo Osteoporosis Epidemiology Study; FN, femoral neck; LS, lumbar spine; MG, major gene.
Received December 31, 2002.
Accepted April 28, 2003.
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