Inferring a major gene for quantitative traits by using segregation analysis with tests on transmission probabilities: how often do we miss?

In an effort to safeguard against false inference of a major gene in segregation analysis, it has become common practice to require nonrejection of the Mendelian-transmission hypothesis (Mendelian tau's) and rejection of the no-transmission hypothesis (equal tau's). However, it is not known how often one would actually infer a major gene, when one exists, by using these criteria. A simulation study was undertaken to investigate this issue. Segregation of a Mendelian gene under a variety of models was simulated in families with both parents and three children. The data were analyzed by using POINTER; the assumptions under the generating and analysis models were identical. By design, the power to reject the no-major-effect hypothesis (q = 0) was > 60% for all models considered; tests on the transmission probabilities were carried out only when q = 0 was rejected, using alpha = 0.05 for all tests. The rates of Mendelian inference were mostly in the range of 22%-50% under recessive inheritance, versus 60%-99% under dominant inheritance. Notably, it was not possible to resolve the transmission (from among Mendelian tau's, equal tau's, and general unconstrained tau's) in approximately 20%-70% of the cases under recessive models, versus 3%-15% under dominant models. Therefore, while tests on transmission probabilities can serve to reduce rates of false inference of a major gene, it is also possible to fail to infer a major gene when one indeed exists, especially under recessive inheritance.     

Hypertension and sodium-lithium countertransport in Utah pedigrees: evidence for major-locus inheritance.

Likelihood analysis was used to test for evidence that an allele at a major locus elevates rates of sodium-lithium countertransport (SLC) in a sample of 1,989 members of 89 Utah pedigrees. The pedigrees were ascertained through two or three sibs who died of stroke before age 74 years (stroke pedigrees), through hypertensive and normotensive probands of the Salt Lake Center of the Hypertension Detection and Followup Program (HDFP pedigrees), or through men who suffered a myocardial infarction before age 55 years (coronary pedigrees). Major-locus inheritance could be rejected in the total sample; transmission probability estimates of tau1 = .972, tau2 = .520, tau3 = .185 differed significantly from Mendelian transmission specified by tau1 = 1, tau2 = 1/2, tau3 = 0. However, heterogeneity between ascertainment groups was significant (chi2(18) = 40.06, P less than .01) and justified analysis within subsets of the sample. In the stroke pedigrees, evidence of major-locus inheritance was not found; polygenic heritability was estimated as .647. In the HDFP pedigrees, estimates of tau1 = .987, tau2 = .430, tau3 = .506 differed significantly from Mendelian transmission; the inferred model consisted of a mixture of two distributions incompatible with both Mendelian and environmental transmission but compatible with polygenic inheritance within distributions. In the coronary pedigrees, the hypothesis of Mendelian transmission could not be rejected. In the coronary pedigrees, the evidence supported an incompletely recessive allele with a frequency of .227 which elevated the level of SLC to a mean of .530 mmol/liter RBC/h.(ABSTRACT TRUNCATED AT 250 WORDS)     

Complex segregation analysis of obsessive-compulsive disorder in families with pediatric probands

OBJECTIVE: The purpose of this study was to assess the mode of inheritance for obsessive-compulsive disorder (OCD) in families ascertained through pediatric probands. METHODS: We ascertained 52 families (35 case and 17 control families) through probands between the ages of 10 and 17 years. Direct interviews were completed with 215 individuals. Family informant data were collected on another 450 individuals without direct interviews, forming two data sets with one contained within the other. Complex segregation analyses were performed using regressive models as programmed in REGTL in the S.A.G.E. package.All models used in the analyses included sex-specific age and type parameters. RESULTS: All models that excluded a residual effect of an affected parent were rejected. With that parameter included, the environmental and sporadic models were rejected in comparisons with the most general model in both data sets (all p < 0.005). With the direct interview data, the general codominant Mendelian model was not rejected when compared with the most general model (p = 0.140). We could not distinguish between any of the simple Mendelian models using either data set. However, the dominant Mendelian model provided a somewhat better fit than the other Mendelian models to the direct interview data. CONCLUSIONS: The results provide evidence for a major susceptibility locus in families with OCD when age at onset is incorporated into the model. Mendelian factors at most partially explained the familial aggregation of the phenotype, and residual familial effects were necessary to fit the data adequately. The results support the importance of linkage efforts by suggesting that a major locus is segregating within a proportion of families with OCD ascertained through pediatric probands.     

Segregation analysis of non-insulin-dependent diabetes mellitus in Pima Indians: evidence for a major-gene effect.

Non-insulin-dependent diabetes mellitus (NIDDM) has a high prevalence in Pima Indians. The disorder is familial, but the extent to which genetic factors are involved in its etiology is largely unknown. Segregation analysis was used to determine whether familial aggregation of NIDDM in this population could reflect the action of a single major gene. The analysis included 2,697 subjects from 653 nuclear families in which both parents and at least one offspring had been examined in the course of a longitudinal epidemiological study. The REGTL program of the SAGE package was used to fit models in which age at onset of NIDDM is transmitted from parent to offspring under the unified model for segregation analysis. Likelihood-ratio tests were used to test hypotheses related to genetic transmission. The hypothesis of no major effect was strongly rejected (P < .01), as was that of no transmission of the major effect (P < .01). Mendelian transmission was not rejected (P = .91). Similar results were obtained when covariates for obesity and birth cohort were added to the models and when a power transformation of age at onset was estimated. A strong effect of birth cohort with earlier age at onset in the later born cohorts was observed (P < .01). The findings are consistent with the hypothesis that a major gene influences the risk for NIDDM in Pima Indians by affecting age at onset. The expression of this gene may depend on environmental factors that have become more prevalent in recent-birth cohorts.     

Intermediate inheritance of Tourette syndrome, assuming assortative mating.

Segregation analysis incorporating assortative mating was used to test for major locus inheritance of Tourette syndrome in a single large pedigree containing 182 members. The analysis provided evidence of a major locus with an intermediate inheritance pattern for which the penetrance was estimated from the data as 28% in heterozygotes and 98%-99% in homozygotes. A significant assortative mating correlation was estimated from the data as 70%-79%. In contrast, when assortative mating was not included in the model, intermediate inheritance was not inferred. If, in addition, constancy of the allele frequencies across generations was not assumed, Mendelian transmission was rejected. Each subject, affected or unaffected, was assigned a score reflecting the presence and severity of symptoms. Higher means scores in affected homozygotes than in affected heterozygotes suggested greater severity in homozygotes: genotype information was obtained from genotype probabilities computed assuming intermediate inheritance.     

Genetic analysis of total cholesterol and triglycerides in a pedigree of St. Thomas rabbits

A pedigree consisting of 103 New Zealand White hyperlipidemic and normal rabbits was used in a genetic analysis of total cholesterol and triglyceride levels to test for Mendelian control of hyperlipidemia. The founder male of this pedigree was identified through hypercholesterolemia and evidence suggested vertical transmission of a hypercholesterolemic phenotype in this pedigree, although a combined hyperlipidemia phenotype (elevated cholesterol and triglycerides) also occurred in many descendents of the original founders. Segregation analysis of quantitative measures of total cholesterol and triglycerides in this pedigree was employed to test hypotheses about Mendelian control in the presence of substantial inbreeding. A simple Mendelian model was the best explanation for triglycerides in these animals. This best fitting model was essentially co-dominant with genotypic specific variances, where the heterozygote was hypertriglyceridemic and the mutant homozygote showed even more extreme values. The observed distribution of total cholesterol was also compatible with a mixture of distinct genotypic distributions, but there was evidence of non-Mendelian transmission in this pedigree. The observed hypertriglyceridemia in these animals may reflect an abnormality of very low density lipoprotein metabolism described previously. Further studies will be required to elucidate the genetic control of hypercholesterolemia and the associated combined hyperlipidemia in these rabbits.     

Segregation analysis reveals evidence of a major gene for Alzheimer disease.

In an attempt to resolve the relative influences of major genes, multifactorial heritability, and cohort effects on the susceptibility to Alzheimer disease (AD), complex segregation analysis was performed on 232 nuclear families. All families were consecutively ascertained through a single proband who was referred for diagnostic evaluation of a memory disorder. The results suggest that susceptibility to AD is determined, in part, by a major autosomal dominant allele with an additional multifactorial component. Single-locus, polygenic, sporadic, and no-transmission models, as well as recessive inheritance of the major effect, were significantly rejected. Excess transmission from the heterozygote was marginally significant and probably reflects the presence of phenocopies or perhaps the existence of two or more major loci for AD. The frequency of the AD susceptibility allele was estimated to be .038, but the major locus accounts for only 24% of the transmission variance, indicating a substantial role for other genetic and nongenetic mechanisms in the causation of AD.     

Statistical analysis of synaptic transmission: model discrimination and confidence limits.

Procedures for discriminating between competing statistical models of synaptic transmission, and for providing confidence limits on the parameters of these models, have been developed. These procedures were tested against simulated data and were used to analyze the fluctuations in synaptic currents evoked in hippocampal neurones. All models were fitted to data using the Expectation-Maximization algorithm and a maximum likelihood criterion. Competing models were evaluated using the log-likelihood ratio (Wilks statistic). When the competing models were not nested, Monte Carlo sampling of the model used as the null hypothesis (H0) provided density functions against which H0 and the alternate model (H1) were tested. The statistic for the log-likelihood ratio was determined from the fit of H0 and H1 to these probability densities. This statistic was used to determine the significance level at which H0 could be rejected for the original data. When the competing models were nested, log-likelihood ratios and the chi 2 statistic were used to determine the confidence level for rejection. Once the model that provided the best statistical fit to the data was identified, many estimates for the model parameters were calculated by resampling the original data. Bootstrap techniques were then used to obtain the confidence limits of these parameters.     

Nonsyndromic cleft lip with or without cleft palate in west Bengal, India: evidence for an autosomal major locus.

Ninety extended families having one or more individuals affected with nonsyndromic cleft lip (CL) with or without cleft palate (CL/P) were ascertained in rural West Bengal, India. These families included 138 affected people, 64% of whom had CL alone and 66% of whom were male. Multiple-affected-member ("multiplex") pedigrees were less common than single-affected-member ("simplex") pedigrees, composing 34% of all extended pedigrees. There was no difference between multiplex and simplex pedigrees in the frequency of affected persons with CL alone, but multiplex pedigrees had a lower frequency of affected males (58%) than did simplex pedigrees (76%; P = .02). Complex segregation analysis using the POINTER computer program rejected both the hypothesis of no familial transmission (P < .0001) and the hypothesis that familiarity could be explained solely by a multifactorial/threshold model (P < .05). The hypothesis of major-locus inheritance alone could not be rejected. Among major-locus models examined, strictly recessive inheritance was rejected (P < .0001), but codominant and dominant models were not. Neither the addition of a multifactorial component nor the addition of a proportion of sporadic cases to the major-locus model improved the fit of the data. In conclusion, the results of complex segregation analysis were consistent with a dominant or codominant major-locus mode of inheritance of CL/P in these families.     

Segregation analysis of alcoholism in families ascertained through a pair of male alcoholics.

To determine the nature of the genetic component controlling liability to alcoholism, complex segregation analysis was performed on 35 multigenerational families each ascertained through a pair of male alcoholics. The results suggest that liability to alcoholism is, in part, controlled by a major effect with or without additional multifactorial effects. Mendelian transmission of this major effect was rejected, as was the hypothesis that the major effect is due to a single major locus. Absence of this major effect, leaving only multifactorial effects, was also rejected. Some sources for the non-Mendelian character of the major effect are suggested, such as a combination of two or more Mendelian loci, the presence of phenocopies, sex-dependent differences in the underlying liability model, or heterogeneity in the alcoholism phenotype. Evidence for and against each is discussed.     

Genetic analysis of kifafa, a complex familial seizure disorder.

Kifafa is the Swahili name for an epileptic seizure disorder, first reported in the early 1960s, that is prevalent in the Wapogoro tribe of the Mahenge region of Tanzania in eastern Africa. A 1990 epidemiological survey of seizure disorders in this region reported a prevalence in the range of 19/1,000-36/1,000, with a mean age at onset of 11.6 years; 80% of those affected had onset prior to 20 years of age. A team of investigators returned to Tanzania in 1992 and collected data on > 1,600 relatives of 26 probands in 20 kifafa families. We have undertaken a genetic analysis of these data in order to detect the presence of familial clustering and whether such aggregation could be attributed to genetic factors. Of the 127 affected individuals in these pedigrees, 23 are first-degree relatives (parent, full sibling, or offspring) of the 26 probands; 20 are second-degree relatives (half-sibling, grandparent, uncle, or aunt). When corrected for age, the risk to first-degree relatives is .15; the risk to second-degree relatives is .063. These risks are significantly higher than would be expected if there were no familial clustering. Segregation analysis, using PAP (rev.4.0), was undertaken to clarify the mode of inheritance. Among the Mendelian single-locus models, an additive model was favored over either a dominant, recessive, or codominant model. The single-locus model could be rejected when compared with the mixed Mendelian model (inclusion of a polygenic background), although the major-gene component tends to be recessive.(ABSTRACT TRUNCATED AT 250 WORDS)     

Multiple etiologies for Alzheimer disease are revealed by segregation analysis.

We have evaluated several transmission models for Alzheimer disease (AD), using the logistic regressive approach in 401 nuclear families of consecutively ascertained and rigorously diagnosed probands. Models postulating no major gene effect, random environmental transmission, recessive inheritance, and sporadic occurrence were rejected under varied assumptions regarding the associations among sex, age, and major gene susceptibility. Transmission of the disorder was not fully explained by a single Mendelian model for all families. Stratification of families as early- and late-onset by using the median of family mean onset ages showed that, regardless of the model studied, two groups of families fit better than a single group. AD in early-onset families is transmitted as an autosomal dominant trait with full penetrance in both sexes and has a gene frequency of 1.5%. Dominant inheritance also gave the best fit of the data in late-onset families, but this hypothesis was rejected, suggesting the presence of heterogeneity within this subset. Our study also revealed that genetically nonsusceptible males and females develop AD, indicating the presence of phenocopies within early-onset and late-onset groups. Moreover, our results suggest that the higher risk to females is not solely due to their increased longevity.     

Inheritance of total serum IgE in the isolated Tangier Island population from Virginia: complexities associated with genealogical depth of pedigrees in segregation analyses

OBJECTIVES: This study was aimed at performing a segregation analysis of total serum immunoglobulin E (tIgE) in an isolated population using maximal genealogical information permitted by current software and computer capacities, while assessing the reliability of the best-fitting model of inheritance for tIgE through simulations. METHODS: All current Tangier Island, VA, residents (n = 664) belonged to one large extended pedigree (n = 3,501) spanning 13 generations, with an average inbreeding coefficient of 0.009. Phenotype data were obtained on 453 (68.2%) of the residents using a population-based recruitment scheme. Due to computational limitations resulting from the extremely complex pedigree structure, analysis on only two pedigree reconstructions was feasible: a reduced pedigree retaining all phenotyped individuals and their parents as 57 distinct families, and 922 nuclear families. RESULTS: Familial correlations and heritability calculations reveal a significant genetic component to tIgE in these data (heritability = 26%). The most parsimonious model to explain tIgE distribution indicated by the reduced pedigree structure was a two-distribution Mendelian model. However, larger and non-genetic models could not be rejected. Simulations over 200 replicates performed to evaluate the reliability of this model, indicated that using restricted genealogical information had minimal impact on results of segregation analyses performed here.     

Identification, Inheritance, and Variation of Microsatellite Markers in the Black Scallop Mimachlamys varia

Five polymorphic microsatellite loci were identified in the black scallop Mimachlamys varia after construction of a genomic library enriched for (GT)n. To examine the transmission pattern of microsatellite alleles, several families were created and genotypes scored for three loci. The expected Mendelian ratios were found in 12 of 14 segregations examined. Unexpected segregations may be explained by a genotyping error (allelic dropout), given that when a specific allele was treated as dominant, the phenotypic ratios conformed to Mendelian expectations. The five loci were also examined in two samples from the Spanish coast. The two localities displayed similar mean values for the number of alleles per locus (7.2-8.4), allelic richness (7.2-7.9), and observed (0.389-0.484) and expected heterozygosity (0.545-0.618). Significant Hardy-Weinberg deviations were observed at three loci, with heterozygote deficiency occurring in all cases. Global multilocus θ value and allele frequencies at one locus revealed significant differentiation between the two localities.     

Influence of genotype-dependent effects of covariates on the outcome of segregation analysis of the body mass index.

Several recent studies of the body mass index (BMI) have provided support for a recessive major gene influencing heaviness in humans. Segregation analysis of the BMI was carried out recently in a series of randomly sampled French-Canadian families to determine whether we could replicate the major gene finding by using a residual phenotype adjusted for the effects of age and sex. The best model included a recessive major effect for high BMI values with residual familial resemblance; however, Mendelian transmission could not be confirmed, and the no-transmission hypothesis (where all the tau's are constrained to be equal) was not rejected. Considering that the BMI is a complex phenotype affected by many factors and that there are known variations in body composition during growth and aging, we undertook a reanalysis of the data, using a model that allowed the estimation of genotype-specific age and gender effects. New tests on the transmission parameters satisfy the criteria for interfering Mendelian segregation. The results suggest that individuals with the "high" recessive genotype show the greatest degree of heaviness at birth, with a subsequent trend toward lower values throughout life, while individuals with the dominant "normal" genotypes show no appreciable trends with age. In addition, the "high" genotype appears to confer a greater degree of heaviness in females as compared with males. These results, along with other observations from the data, suggest that, while a recessive single gene influence may be discernible, the phenotypic expression of the BMI is likely to be complicated by genotype x environment interactions and, possibly, by the action of other loci. Further, the data also are consistent with the hypothesis that modifying factors may include the adoption of a more prudent life-style by individuals genetically predisposed to heaviness and a secular increase in the incidence, prevalence, and potency of environmentally based triggers leading to a higher penetrance of the "heavy" genotype in the young.     

Sex-specific meiotic drive and selection at an imprinted locus

We present a one-locus model that breaks two symmetries of Mendelian genetics. Whereas symmetry of transmission is breached by allowing sex-specific segregation distortion, symmetry of expression is breached by allowing genomic imprinting. Simple conditions for the existence of at least one polymorphic stable equilibrium are provided. In general, population mean fitness is not maximized at polymorphic equilibria. However, mean fitness at a polymorphic equilibrium with segregation distortion may be higher than mean fitness at the corresponding equilibrium with Mendelian segregation if one (or both) of the heterozygote classes has higher fitness than both homozygote classes. In this case, mean fitness is maximized by complete, but opposite, drive in the two sexes. We undertook an extensive numerical analysis of the parameter space, finding, for the first time in this class of models, parameter sets yielding two stable polymorphic equilibria. Multiple equilibria exist both with and without genomic imprinting, although they occurred in a greater proportion of parameter sets with genomic imprinting.     

Complex Segregation Analysis of Pedigrees from the Gilda Radner Familial Ovarian Cancer Registry Reveals Evidence for Mendelian Dominant Inheritance

Background

Familial component is estimated to account for about 10% of ovarian cancer. However, the mode of inheritance of ovarian cancer remains poorly understood. The goal of this study was to investigate the inheritance model that best fits the observed transmission pattern of ovarian cancer among 7669 members of 1919 pedigrees ascertained through probands from the Gilda Radner Familial Ovarian Cancer Registry at Roswell Park Cancer Institute, Buffalo, New York.

Methodology/Principal Findings

Using the Statistical Analysis for Genetic Epidemiology program, we carried out complex segregation analyses of ovarian cancer affection status by fitting different genetic hypothesis-based regressive multivariate logistic models. We evaluated the likelihood of sporadic, major gene, environmental, general, and six types of Mendelian models. Under each hypothesized model, we also estimated the susceptibility allele frequency, transmission probabilities for the susceptibility allele, baseline susceptibility and estimates of familial association. Comparisons between models were carried out using either maximum likelihood ratio test in the case of hierarchical models, or Akaike information criterion for non-nested models. When assessed against sporadic model without familial association, the model with both parent-offspring and sib-sib residual association could not be rejected. Likewise, the Mendelian dominant model that included familial residual association provided the best-fitting for the inheritance of ovarian cancer. The estimated disease allele frequency in the dominant model was 0.21.

Conclusions/Significance

This report provides support for a genetic role in susceptibility to ovarian cancer with a major autosomal dominant component. This model does not preclude the possibility of polygenic inheritance of combined effects of multiple low penetrance susceptibility alleles segregating dominantly.     

Complex segregation analysis reveals a multigene model for lung cancer

Lung cancer risk is largely attributed to tobacco exposure, but genetic predisposition also plays an etiologic role. Several studies have investigated the involvement of genetic predisposition in lung cancer aggregation in affected families, although with inconsistent results. Some studies have provided evidence for Mendelian inheritance, whereas others have suggested that environmental models are most appropriate for lung cancer aggregation in families. To examine the genetic basis of lung cancer, we performed segregation analysis on 14,378 individuals from 1,561 lung cancer case families, allowing for the effects of smoking, sex, and age. Both a Mendelian decreasing model and a Mendelian codominant model were found to be the best fitting models for susceptibility. However, when we modeled age-of-onset, all Mendelian models and the environmental model were rejected suggesting that multiple genetic factors (possibly multiple genetic loci and interactions) contribute to the age-of-onset of lung cancer. The results provide evidence that multiple genetic factors contribute to lung cancer and may act as a guide in further studies to localize susceptibility genes in lung cancer.     

Complex segregation analysis of non-myoclonic idiopathic generalized epilepsy in families ascertained from probands affected with idiopathic epilepsy with tonic-clonic seizures in Antioquia,Colombia

In an attempt to identify the possible role of major genes, multifactorial inheritance, and cohort effects in the susceptibility to idiopathic epilepsy with generalized tonic-clonic seizures of the awakening type (GTCS), complex segregation analysis was performed in 196 nuclear families ascertained through affected probands with idiopathic epilepsy with GTCS belonging to the Paisa community of Antioquia (Colombia). Models postulating no transmission, single major locus (dominant and recessive) only, and multifactorial component only, were rejected. Since the codominant single major locus model could not be rejected and models that assign no major locus to transmission, no polygenic component to transmission, and no transmission of the major effect were rejected, complex segregation analysis suggested that a major autosomal codominant allele together with a multifactorial component (mixed model) best explained clustering of idiopathic epilepsy with GTCS in families of the Paisa community. The deficit of transmission of heterozygotes (0.17) is compatible with the existence of epistasis acting on a major gene whose frequency was estimated to be 0.0211. Its transmission variance accounts for 81% of the susceptibility to idiopathic epilepsy with GTCS. The complementary variance (19%) is due to the polygenic component. Received: 19 January 1996 / Revised: 11 March 1996     

Heterozygote deficiency caused by a null allele at the bovine ARO23 microsatellite

Abstract

Non‐Mendelian inheritance and heterozygote deficiency were observed within the International Bovine Reference Panel (IBRP) when genotyped for AGC trinucleotide microsatellite ARO23. Chi square analysis showed a significant difference between the observed and predicted heterozygosity among 37 unrelated individuals. PCR reactions using an alternative primer designed to avoid a putative mismatch resulted in the appearance of an additional allele with a frequency of 0.30 and the restoration of Mendelian inheritance. Sequence analysis of this allele showed a cytosine insertion 2 bp from the 3’ end of the original priming site causing the failure of allele amplification. The presence of a segregating null allele may be suspected when heterozygote deficiency is observed.