AMERICAN JOURNAL OF PHYSICAL ANTHROPOLOGY 62:51-59 (1983)
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Genet ic Analysis of Manic-Depressive IIIness
D.H. O’ROURKE, P. McGUFFIN, AND T. REICH
Department ofAnthropology, University of Utah, Salt Lake City, Utah 84112
(D.H.O.); Institute of Psychiatry, Maudsley Hospital, London (P.M.1;
Department of Psychiatry (P.M., T.R.),and Department of Genetics,
Washington University School of Medicine and the Jewish Hospital of St.
Louis (T.R.), St. Louis, Missouri 63110
KEY WORDS
Bipolar affective disorder, Segregation analysis,
Combined model
ABSTRACT
Two threshold models, a single locus model, and two combined
models are fitted to data on familial incidence of bipolar affective disorder in 194
nuclear families ascertained through a bipolar proband. The relative fit of alternative tramsmission models is tested by a likelihood ratio chi-square with the
degrees of freedom defined by the difference in the number of parameters estimated by each model. All parameters are estimated by the method of maximum
likelihood. The simplest threshold model, permitting only a single background
familial correlatiron, is found to provide a statistically poorer fit than any of the
alternative models, and may be rejected as a model for the etiology of bipolar
affective disorder. The four remaining models are statistically indistinguishable.
It is suggested, however, that the involvement of a major locus in the etiology of
this disorder deserves further scrutiny since any of the models incorporating a
major locus, with or without a multifactorial background, are consistently associated with greater likelihoods than the complex threshold model.
It is also noted that diagnostic criteria are critical in the analysis. In the present
study, relatives of probands are considered affected if a diagnosis of bipolar or
unipolar affective disorder is present. When only bipolar relatives are considered
affected, none of the transmission models may be rejected. Finally, the results of
these analyses are found to be independent of the ascertainment parameter.
The interaction of biology and behavior is
central to the investigations of biological anthropology. Of particular interest are those behavioral phenotypes that relate to fitness and
have a demonstrable biological basis. Manicdepressive illness is just such a phenotype. So
called “bipolar affective disorder” (BP) is characterized by extreme mood swings between
elation (mania) and depression, whereas unipolar (UP) disorder is characterized by depressive episodes alone. Mania comprises (1)
elated, unstable, and fluctuating moods; (2)
pressure of speech, occasionally associated with
rhyming or punning and circumlocution; (3)
flight of ideas, grandiosity, and increased distractability; (4) increased motor activity and
energy output; ( 5 )exercise of poor judgement;
and (6) increased aggressive or sexual behaviors. In contrast, a depressive episode is marked
by (1)depressed mood; (2) psychomotor retar-
dation; (3) deterioration of thought processes,
which may include paranoid ideation, accusatory hallucinations, and delusions; (4) suicidal ideation; ( 5 ) decreased sexual interests;
and (6) abnormalities of physiological function
such as loss of appetite, weight loss, and sleep
disturbance (Balis et al., 1978).
Although females exhibit UP disorder nearly
twice as often as males, recent surveys indicate
that the population prevalence of BP disorder
is roughly comparable between the sexes (see
Reich et al., 1983 and McGuffin and Reich,
1983 for reviews). Population prevalence (Kp)
estimates for BP disorder range from a low of
0.0036 to a high of 0.022 (Slater and Roth,
1969).
Family, twin, and adoption studies have
demonstrated the importance of genetic factors
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(9 1983 ALAN R. LISS. INC
Received June 5, 1982, accepted Marc’, 16, 1983
52
D.H. O’ROURKE. P. M ~ G U F F I N ,AND r r . REICH
in the etiology of bipolar affective disorder.
However, the mode of inheritance of this nonMendelian trait has remained obscure. One advance for genetic studies of affective disorders
was the diagnostic distinction proposed by
Leonhard (1959)between bipolar and unipolar
affective disorders. Subsequent studies by Angst
(1966) and Perris (1966)illustrated that family
members of UP probands showed increased frequencies of U P disorder but no increase of BP
disorder. In contrast, relatives of BP probands
showed elevated rates of affectation for BP disorder and, in most studies (Angst 1966; Gershon, et al. 1975a,b; Gershon and Leibowitz,
1975; Helzer and Winokur 1974; Smeraldi, et
al. 1977; Winokur and Clayton 1967) increased
frequencies of primary depression without episodes of mania, suggesting that depressed relatives of BP probands should be considered affected whether or not a manic episode has been
observed. This dichotomy and diagnostic procedure is supported by data suggesting that
conversion to BP disorder after several depressive episodes is reasonably high (perhaps
approaching 18%, e.g., Akiskal et al. 1977).
Consequently, in the present study, relatives
of BP probands diagnosed as suffering from
primary depression are considered affected.
ance where specific combinations of alleles at
multiple loci, together with environmental
contributions, additively determine liability to
the disease (Falconer, 1965, 1967; Crittenden,
1961; Reich et al., 1972, 1975).Liability to the
disease is considered normally distributed (or
transformable to a normal distribution) within
the population (Fig. 11, and only those individuals above the liability threshold are affected. It may be emphasized that even where
evidence exists for unequal effects (e.g., a few
loci of major effect), the assumption of equal
effects of all factors underlying the liability
distribution is reasonable since it leads to accurate estimates of risks to the disease as well
as response to selection (Falconer, 1960, 1965).
Moreover, the assumption of normality of the
liability distribution is independent of the
equality of effects of underlying factors since
it depends only on the distribution of phenotypic values. This assumption, then, merely
reflects the choice in scale of measurement.
The Central Limit Theorem assures rapid approach to normality as long as many underlying factors are relevant (Cloninger et al., 1983;
Reich et al., 1972). Under this mode of inheritance, relatives of affected probands will show
a distribution on the liability scale with a higher
mean than the general population and, hence,
a greater proportion of affected individuals.
Since the distribution of liability is considered normal, we may take it as a standardized
distribution with the unit of measurement the
standard deviation, the threshold a t zero, and
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MATERIALS AND METHODS
The data come from three family studies of
BP disorder conducted by members of the Psychiatry Department, Washington University
School of Medicine, St. Louis (Winokur et al.,
1969, Helzer and Winokur, 1974, and unpublished data on 103 black families ascertained
through a BP proband) between 1965 and 1975.
In all cases the diagnostic criteria used were
either those of Feighner et al. (1972),or closely
comparable criteria developed in the Psychiatry Department, which were the forerunners
of the Feighner criteria. These three studies
were first analyzed separately and remarkably
similar results obtained. Therefore, in subsequent analyses, the results of which are presented here, the studies of the St. Louis group
have been pooled to include data on 194 BP
probands, their sibs, and parents.
Various forms of three genetic transmission
models have been fitted to these data: two multifactorial threshold models, a single major locus model, and two combined models; that is,
a major locus with multifactorial background
contributing to liability to the disease.
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Threshold
2.
r)
2
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3
X
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The models
Multifuctoriul (MF). Discrete, presence/absence traits, such as BP disorder may be the
result of polygenic or multifactorial inherit-
Xr
LIABILl7Y
Fig. 1. Multifactorial model with single threshold. Probands are ascertained from pool of affected in general population. Relatives of probands show a n increase in mean of
the distribution on the liability scale as well as a n increase
in the proportion of affected individuals.
53
GENETICS OF BIPOLAR DISORDER
the total variance in liability for the population equal to one. Taking xp and XR as the normal deviates of the thresholds for probands and
relatives of probands for their respective distributions on the liability scale, the correlation
between relatives on the liability scale is (Reich
et al., 1972):
r =
xp
THRESHOLD
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- XR
I
V‘[I - (x; - x;) (1 - (xp/a))l
a + x&(a - xp)
where a is the deviation of the proband mean
from the population mean. This correlation and
the threshold values (or the prevalences in the
general population and relatives of probands)
determine the MF model under the following
additional assumptions (Falconer, 1965; Reich
et al., 1972): (1)all genetic and environmental
causes of the disease may be combined into a
singie continuous variable termed the liability; (2) the population is divided into a t least
two recognizable classes by one or more thresholds; (3) genes that are relevant to the etiology
of the disease are separately of small effect
relative t o the total variation; (4)although not
required (see above), genes are assumed to act
additively in order t o allow data on sibs to be
combined with those from parents and offspring; ( 5 ) there are multiple environmental
contributions t o etiology that act additively;
and (6) for purposes of genetic parameter estimation, common environmental effects among
relatives are negligible.
If the assumptions of the model are met, r is
independent of the population mean and is invariant over changes in definition of the
threshold. Further, this model “applies only to
those diseases whose genetic component is
multifactorial, or if there are few genes, where
these have effects that are small in relation to
the non-genetic variation” (Falconer, 196553).
In those cases where the genetic component is
a single locus of major effect, an alternative
model must be employed.
Single major locus (SML). Such traits may
be the result of a single diallelic locus (A and
a) where each of the three genotypes may be
incompletely penetrant (Fig. 2). This model is
defined by the a gene frequency (q = 1 - p)
and the penetrance values (fl, fz, f3) for each of
the three genotypes (AA, Aa, and aa, respectively), where the penetrances are the probability of each genotype exhibiting the phenotype under study. Collectively, the penetrance
values are referred to as the penetrance vector.
James (1971) showed that morbid risk data
permit estimation of only three parameters;
the population prevalence (Kp), the additive
genetic variance (VA),and the dominance var-
LIABI L I M
Fig. 2. General single major locus model. The “threshold,” analagous to that in multifactorial model, is defined
by the penetrance vector; the probability of each genotype
exhibitng the phenotype under study.
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iance (V,) irrespective of the number of classes
of relatives of probands studied. Thus, a parameter problem is encountered. Determination of these three values is insufficient to estimate the four underlying parameters uniquely
(Kempthorne, 1957):
Kp
VA
VD
+ $f3
= 2pq [q(f3 - f2) + p(f2 - fAI2
= pZq2[f1 - 2f2 + fJ2.
=
p2fi + 2pqf2
As noted by James (1971)incidence of a disease
in relatives of a proband is a function of Kp
and covariance (COVR)between relatives,
where the covariance between relatives is the
sum of weighted proportions of the two genetic
variances (i.e., COVR = uVA + uVD). The
weights (u and u ) are simply the probabilities
that relatives share one particular allele and
both alleles at a locus identical by descent, respectively. For the class of relatives considered
here these weights are 0.5 and 0 for parents
and offspring and 0.5 and 0.25 for sibs.
Fortunately, the parameter problem just discussed may be resolved by maximizing the information contained in nuclear family units as
opposed to population prevalences and correlations between relatives. Fishman et al. (1978)
have shown that examination of the joint prevalence probability for sibs (e.g., both sibs in a
sibship of size two are affected) in conjunction
with the observed parental phenotypes permits
unique estimation of the underlying parameters of the single major locus model. Here, the
phenotype is dichotomized as affectational sta-
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54
D.H. O’ROURKE, P. McGUFFIN, AND T. REICH
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tus where an affected individual may be coded
as 1 and an unaffected individual as 0. Fishman et al. (1978) prove the theorem that the
joint probability of affectation in sibs, conditional on parental phenotypes for a presence-absence trait, e.g.,
zero and separate, estimated variances such
that their sum is the variance of e. Similarly,
c, the polygenic effect may be subdivided into
the midparent breeding value as well as the
individual deviation from this value with each
normally distributed around mean zero.
The major locus is defined by its mean value
P, (1,llij) = VAi2 vD/4
across genotypes, the degree of dominance, fre+ K? + (y1 + ~ J K P V A quency, and its displacement (that is, the effect
+ yiyj K P V A ~ +D (yi + yj) 5114 + ~ 1 J2~ 1 of substituting one allele for the other, see Morton and MacLean, 1974 for complete discussion
with
of the model). It should be noted that since the
means of c and e are taken t o be zero, the phenJ1 = (p - 4) Ct (VA + VD) + 3VAuD + VDUD,
otypic mean is the same as the mean of the
major locus (Fig. 3). This is intuitively obvious
5 2 = [VA + VDi2 + (p - q)(YUD/2l2- vA/2
since everyone in the population has one of the
and
three genotypes defined by the diallelic major
locus.
Ct = p(f2 - fi) + q(f3 - f2)
It has been suggested that such a model may
provide the final resolution to the mode of inyo = -(1 - Kp1-l
heritance of BP disorder (Reich et al., 1983;
y1 = Kp-I
McGuffin and Reich, 1983). The present study
is the first to assess the fit of a combined model
uniquely specifies the four underlying paramto the familial distribution of manic-depressive
eters if Kp, Po (111)and one each of Po Cllij) illness.
and P, (1,llij) are known with VA # 0. The
Table 1summarizes the models used and paconditional probabilities Po (111)and Po Cl)ij) rameters estimated in the present study. All
refer to the prevalence of affected offspring of
parameters are estimated by the method of
affected individuals and prevalence of affected maximum likelihood. The two multifactorial
offspring given parental mating type, respec- models differ only in estimation of correlations
tively.
between relatives. The first model (MF1) asIn fact, it is further shown that P, (1,llij) sumes a single familial background correlaneed only be known for one mating type as is
tion, whereas MF2 estimates six possible corusually the case (especially for rare recessive
relations. By definition the familial correlations
traits). Thus, the present study utilizes comare assumed to be zero for the single major
plex segregation analysis to examine the patlocus model, although the three genotypic petern of distribution of the trait within nuclear
netrances are allowed to vary between the sexes.
families and to maximize the log, likelihood
For the two combined models the six specific
over families, rather than just correlations between pairs of family members.
Combined model (CM). Finally, the underlying genetic mechanism may represent a comCOMBINED
MODEL
bination of the two preceding models; a major
locus and an additive multifactorial background that augments correlations between
relatives and contributes to liability (Morton
and Maclean, 1974).
Under this model, the presence of a dichotomous trait (x) is the result of an effect due to
a major locus (g), background correlations between relatives (c) due to multiple additive genetic factors, and an environmental component.
x = g + c + e.
%
92
93
The environmental effect may be subdivided
Fig. 3. The combined model. Phenotype is determined
into common familial and random environ- by a major locus in conjunction with multifactorial backments, each with a normal distribution of mean ground. See text for discussion.
+
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55
GENETICS OF BIPOLAR DISORDER
T A B LE 1 , Models used and parameters estimated
Model
Multifactorial (MF1)
Multifactorial (MF2)
Single major locus (SML)
Combined (CM1)
Combined (CM2)
~
~~~
Parameters estimated
Number of parameters
d threshold, 9 threshold, 1
familial correlation
6 threshold, P threshold, 6
familial correlations'
gene frequency (q),
6 penetrances'
gene frequency (q), 6 penetrances,'
1 familial correlation
gene frequency (q), 6 penetrances,'
6 familial correlations'
3
'Parentioffspring = male-male, male-female,
male-female.
2Males = fim,fz,, f3,,,; females = fir, fir, f3r
female-female;
penetrance values are allowed to vary but only
CM2 estimates multiple familial correlations.
In all these preliminary analyses an ascertainment probability (1~)of 0.0001 is assumed
(i.e., the probability of an individual being affected and a proband is small ( 1 +
~ 01, so that
we have effectively single ascertainment with
one proband per family).
One advantage of the present approach is
that a single likelihood value defines the fit of
each model used. It is thus possible to test statistically the relative fit of nested models to a
single data set. The appropriate test follows a
chi-square distribution.
x2
=
8
7
8
13
Sibisib = male-male,
male-female,
fe-
TABLE 2. Parameter estimates under multifactorial
models
Estimates
MF1
Correlations'
0.43
K, (MIF)
0.02810.042
- 700.1
25.8
Likelihood
XZ
zy
MF2
0.21 0.57 0.58
0.33 0.30 0.37
0.0310.04
687.2
(p < 0.01)
~
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zy
- 2 (L, - Lz),
where L, and Lz are the observed log, likelihoods for the two models being compared, and
the degrees of freedom are defined by the difference in number of parameters estimated by
each model. The possibility exists, then, to select the most adequate model to describe the
familial distribution of BP disorder, and test
the significance of its superiority over competing models.
RESULTS AND DISCUSSION
Table 2 summarizes the results of the fitting
of the two multifactorial models to the data. It
is worth noting that while both MF models
predict population prevalences of approximately 0.03 and 0.04 for males and females,
respectively, the observed Kp for the St. Louis
data was 0.034 for both sexes. The small difference between the estimated values, and their
symmetry around the observed prevalence,
testifies to the roughly equal prevalence rates
in both sexes for this disorder. The moderately
high familial correlations estimated by both
models is not surprising; it reflects the well
known elevation in morbid risk to BP disorder
'Parent/offspring
=
MM, MF, FF; sib/sib
=
MM, MF, FF
in first degree relatives of probands. Somewhat
surprising are the high mother-offspring correlations in MF2, suggesting some form of maternal effect. Indeed, such a pattern led earlier
workers to postulate X-linkage for BP disorder
(e.g., Winokur and Tanna, 1969; Mendlewicz
and Fleiss, 1974; Mendlewicz et al., 1972).
However, X-linkage for BP disorder has not
been unequivocally demonstrated in general,
and several cases of father-son transmission
are now known. Thus, undue importance should
not be ascribed t o the high mother-offspring
correlations reported here. Perhaps of greater
interest is the fact that the MF2 model, with
the full complement of familial correlations,
provides a significantly better fit than MF1.
A summary of the results from the single
major locus model are presented in Table 3.
With an estimated gene frequency of 0.031, the
male and female population prevalences of 0.029
and 0.038 are virtually identical to those estimated under the assumptions of multifactorial inheritance (see Table 2). Given the relatively low gene frequency, all of the
homozygotes are predicted to be affected. However, considerably larger proportions of females than males are affected as heterozygotes, while a slight excess of male sporadics
is predicted under this model.
56
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D.H. O’ROURKE, P. McGUFFIN, AND 1:REICH
T A B L E 3 . Parameter estimates under single major locus
model
Estimates
Males
Females
Penetrances
fi
f2
f3
KP
q
Likelihood
0.006
0.010
0.306
0.999
0.029
0.530
0.999
0.038
0.031
- 683.9
T A B L E 4 . Percentage contrrbutron to pool of
affected hy genotype and sex for S M L
Genotype
Male
Female
“Sporadics”
(pLfl/K,I
Heterozygotes
( 2 p q t K,I
Homozygotes
(qLfiK,I
32 8
14 I
63 8
82 8
33
25
T A B L E 5 . Parameter estimates under wnihined models
In Table 4 these values, taken together with
the predicted Kp values, reveal more clearly
the subtle sex differences. The majority of affected individuals of both sexes are predicted
to be heterozygous under this model, although
nearly one-third are found to be sporadics among
males.
Finally, two separate combined models were
fitted to these data. Table 5 summarizes these
results. A somewhat surprising result is obtained. For both CM1 and CM2 the familial
correlation estimates reduce to essentially zero,
approximating a simple, single major locus
model. In fact, all remaining parameter estimates are found to be exactly the same as those
noted earlier for the SML. Given the lack of
evidence for appreciable background familial
correlations contributing to liability in the
combined models, the proportions affected by
sex and genotype under these models are the
same as those seen earlier for the SML (see
Table 4).
Having reviewed the analyses of these data
sets through the implementation of multifactorial and complex segregation models, it is
now possible to test statistically the relative
efficacy of each model. Table 6 presents the
results of these tests. MF1 provides a statistically poorer fit than either of the combined
models. Since CM1 is, in effect, a single major
locus model, the latter would be viewed as providing a statistically better fit than MF1 as
well. This is not a trivial point since the SML
is not, technically, a model nested within the
parameterization of the MF models and, hence,
a direct statistical comparison is precluded. Here
the clear cut distinctions end. ALthough it is
not possible to compare MF2 and CM1 directly
(they estimate equal numbers of parameters
and, hence, have no degrees of freedom), MF2
is not significantly different from CM2. Since
the two combined models and the SML model
are statistically indistinguishable, all four of
the remaining models must be considered to
fit the data equally well. It is not surprising,
then, that numerous authors, using transmis-
Estimates
CMl
CM2
Correlations’
00
Penetrancesl
0 010 0 304 0 999
0 006 0 530 0 999
0 02910 038
0 031
683 9
000000
000000
0 010 0 304 0 999
0 006 0 530 0 999
0 029/0 038
0 031
683 9
K , iM Fi
9
1~kelihood
T A B L E 6. Direct coinparison of likelihood i.alues for
models fitted to hipolar afrec.tir,e disiircier f a m i l y studies
Models a n d likelihoods’
Chi-square
~
M F l I700 11-CM1
M F l 1700 11-CM2
MF2 I687 2I-CM2
1638 91
1683 9 1
16839 1
‘Absolute values of Ilkellhim!.
32 4
32 4
66
df
Probability
5
10
5
LOO1
~~
< 0 01
,005
in o a r e n t h e w s
sion models similar to those described here,
have argued for single major locus inheritance
(Winokur et al., 1969; Crowe and Smouse, 1977;
Gershon, 1975a,b,c), including X-linkage
(Mendlewicz and Fleiss, 1974; Mendlewicz et
al., 1972; Winokur and Tanna, 1969; Baron,
1977), as well as multifactorial transmission
(Slater and Tsuang, 1968; Bucher and Elston,
1981; Bucher et al., 1981; Baron, 1980). The
present analyses suggest that a combined model
may be added to the list, bearing in mind that
the combined models employed provided essentially a single major locus with little evidence for the importance of a multifactorial
background.
Although only MF1 may be statistically rejected using these data, it is worth noting that
the presence of a major locus, with or without
a polygenic background, has the highest likelihood based on the combined St. Louis data.
This at least suggests that it is a reasonable
working hypothesis. Indeed, such a working
hypothesis is not inconsistent with recent reports of linkage of a disease susceptibility locus
for BP disorder to the major histocornpatability
GENETICS OF BIPOLAR DISORDER
complex on the short arm of chromosome 6,
although these reports need to be verified (e.g.,
Smeraldi and Bellodi, 1981; Weitkamp et al.,
1981).For example it has been shown recently
(Suarez and Van Eerdewegh, 1981) that misspecification of the mode of inheritance of a
disease susceptibility locus may give spuriously high lod scores for linkage to a known
marker locus. Since it is by no means clear
whether the genetic etiology of BP disorder is
multifactorial, the result of a single major locus, or some combination, much less whether
the putative single locus is dominantly or recessively transmitted, such reports must await
further confirmation and testing.
The results presented here are concordant
with some previous studies but at variance with
others. Gershon et al. (1975b, 1976; Gershon
and Leibowitz, 1975)fitted MF and SML models
to incidence data on UP and BP disorders in
the Jewish population of Jerusalem. In these
studies, both MF and SML models were found
to predict incidence of affectation adequately
in relatives of probands. Although these results are similar to those presented here, methodological differences preclude a more rigorous
comparison of the studies.
Gershon et al. (1975b, 1976; Gershon and
Leibowitz, 1975) were in effect testing the validity of the Leonhard (1959) dichotomy of polarity for affective disorders. Thus, they used
a two-threshold model for both the MF and
SML analyses with BP and UP disorders representing narrow and broad forms of a disease
on a single liability scale. Given this major
distinction between the underlying assumptions and diagnostic criteria used by Gershon
and colleagues and the present study, it is interesting that the results and inferences are
similar. It should be noted, however, that in
the present case the less complex form of the
MF model may be statistically rejected. Moreover, the greater likelihood associated with
those models containing a major locus suggests
that further examination of the role of a major
locus in this disorder is warranted.
In contradistinction to this position, Bucher
and Elston (1981)and Bucher et al. (1981)have
explicitly rejected the notion of involvement of
a major locus in the etiology of BP disorder.
Once again, methodological differences make
direct comparisons of analyses and inferences
difficult. The methodology used by Bucher and
Elston (1981) and Bucher et al. (1981) is Elston’s approach to segregation analysis (e.g.,
Elston 1980; Elston and Stewart 1971).This is
a different parameterization of the SML than
that used in the present study, and may ac-
57
count for some of the differences in result. Additionally, rather than testing the relative fit
of competing models directly, Bucher and colleagues test a Mendelian model against a general unrestricted model. That is, one in which
the transmission probabilities of each phenotype are not constrained by Mendelian values.
By not being able to reject this general unrestricted model, Bucher and coworkers suggest that a major locus hypothesis for BP disorder is untenable. However, no model other
than the SML was tested. Moreover, the nature
of the test suggests that deviations of the individual data sets from Hardy-Weinberg equilibrium conditions could give rise to the results
obtained.
Further work in this area is imperative since
Bucher and coworkers used some of the same
data utilized in the present report (Helzer and
Winokur, 1974;Winokur et al., 19691, but came
to dramatically different conclusions. In addition, the effects of small sample size, and the
pooling of separate studies that utilize different diagnostic criteria on the results of genetic
model fitting to incidence data require further
investigation (see O’Rourkeet al., 1982 for brief
review).
The approximation of both combined models
to a major locus model in the present analysis
not only suggests the importance of a major
gene in this behavioral disorder, but raises once
again the question of whether this putative
disease susceptibility locus is autosomal or Xlinked. Evaluation of this question is outside
the scope of the present paper. However, Van
Eerdewegh et al. (1980) have recently examined the fit of three separate X-linked threshold models to familial data on bipolar affective
disorder. Two of these models were single
threshold models and differed only in regard
to whether individuals suffering unipolar
depression were considered affected or unaffected. All families were ascertained through
a BP proband. Using three separate data sets,
Van Eerdewegh et al. (1980) found that Xchromosome single locus models did not consistently describe the distribution of affected
relatives of BP probands. They note that their
results may suggest etiological heterogeneity.
We are currently reexamining the St. Louis
data in light of the present reports’ suggestion
of major locus involvement in order to evaluate
the relative efficacy of autosomal versus Xchromosome transmission models. The result
of this research will appear elsewhere.
Finally, bipolar affective disorder is known
t o have a variable age of onset. Unfortunately,
adjustment for age-dependent penetrance is not
58
D.H. O’ROURKE, P. McGUFFIN, AND T. REICH
possible with the analytical techniques used in
this analysis. We are, however, modifying the
routines employed here to permit adjustment
for the age of onset distribution in order to
evaluate what effect this may have on the reported results. The age distribution of the probands and family members is such that we do
not believe age adjustment will radically alter
the results.
SUMMARY AND CONCLUSIONS
of multifactorial inheritance or single major
locus involvement through complex segregation analysis. Different programs use different
algorithms and different parameterizations of
the models. It is not yet clear that they all
produce concordant results. Until some degree
of standardization is achieved, results may be
considered tenative.
(6) Finally, results and hypotheses generated by analysis of data using one analytic
technique should be continually retested using
different analytical methods based on different
sets of assumptions. We are currently analyzing these data using several different methodologies in order t o more fully elucidate the
genetic mechanisms involved in bipolar affective disorder.
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While these preliminary analyses suggest
that a major locus may be important in the
etiology of bipolar affective disorder, several
cautionary notes need be appended.
(1)We have not tested the “fit”of a specific
model to a set of data. Rather, we have attempted t o evaluate the relative value of several transmission models to account for the distribution of bipolar affective disorder in families.
(2) Although we have carried out these analyses assuming an ascertainment probability
( 7 ~ )of 0.0001, we cannot know that this is, in
fact, the correct value. To test our assumption,
we have reanalyzed the St. Louis data under
a range of different values of 7~ (range =
0.0001-0.999), and the results are relatively
invariant.
(3) Although BP disorder has a variable age
of onset, we were unable to use these genetic
models on age-corrected data. However, since
computational constraints placed a limit on
sibship size to five, no family member under
the minimum age a t risk (15 years) was included in the analysis. Moreover, in those sibships where more than five members had entered the risk period, the youngest were deleted
so as to maximize subjects who had passed
through the maximum period of risk. Since no
birth order effect has been noted for BP disorder, we do not believe this introduces any
bias.
(4)Diagnostic criteria are clearly important.
In the present study, we have considered relatives affected if they were diagnosed as BP or
primary depression only. When only BP relatives are considered affected, none of the five
models used are statistically distinguishable.
Given the possibility of genetic heterogeneity
in BP disorder, further work in this area is
imperative.
(5) These analyses were carried out using
computer programs developed a t Washington
University School of Medicine in St. Louis under the supervision of the third author. These
programs are but one set out of several that
allow analysis of data under the assumptions
ACKNOWLEDGMENTS
We gratefully acknowledge the assistance of
Dr. John Helzer, and Mr. Joe Mullaney for his
able programming skills. This work was supported in part by USPHS grants MH31302,
MH14677, MH25430, and GM28067, and an
MRC (U.K.) Fellowship (Dr. P. McGuffin).
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