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1 From the Twin Research and Genetic Epidemiology Unit, St. Thomas Hospital; and 2 Department of Preventive Ophthalmology, Institute of Ophthalmology, London, United Kingdom.
| Abstract |
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METHODS. Refractive error was examined in 226 monozygotic (MZ) and 280 dizygotic (DZ) twin pairs aged 49 to 79 years (mean age, 62.4 years). Using a Humphrey-670 automatic refractor, continuous measures of spherical equivalent, total astigmatism, and corneal astigmatism were recorded. Univariate and bivariate maximum likelihood model fitting was used to estimate genetic and environmental variance components using information from both eyes.
RESULTS. For the continuous spectrum of myopia/hyperopia, a model specifying
additive genetic and unique environmental factors showed the best fit
to the data, yielding a heritability of 84% to 86% (95% confidence
interval [CI], 81%89%). If myopia and hyperopia (
-0.5
D and
0.5 D, respectively) were treated as binary traits, the
heritability was 90% (95% CI, 81%95%) for myopia and 89% (95%
CI, 81%94%) for hyperopia. For total and corneal astigmatism,
modeling showed dominant genetic effects are important; dominant
genetic effects accounted for 47% to 49% of the variance of total
astigmatism (95% CI, 37%55%) and 42% to 61% of corneal
astigmatism variance (95% CI, 8%71%), with additive genetic
factors accounting for 1% to 4% and 4% to 18%, respectively (95%
CIs, 0%13% and 0%60%, respectively).
CONCLUSIONS. Genetic effects are of major importance in myopia/hyperopia; astigmatism appears to be dominantly inherited.
| Introduction |
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The importance of genetic factors in myopia has been suggested by previous twin studies.3 5 6 7 8 9 10 However, usually only myopes were selected in these studies, thereby ignoring the largest part of the continuous distribution of refractive error that covers the range from low negative (i.e., myopic) to high positive (i.e., hyperopic) values.
The previous twin study of hyperopia was limited by using only spectacle prescription data collected by postal survey.11 Astigmatism has been variously described in twin and family studies as having a strong genetic basis,5 no genetic basis,12 13 or due to a potential single major autosomal dominant locus.14 The genetics of astigmatism therefore remain uncertain.
Twin studies have been described as the "perfect natural experiment" to study the relative importance of genetic and environmental factors.15 We describe a classical twin study to examine the heritability of refractive error. This is the first twin study to apply genetic modeling techniques and to use the continuous distribution of refractive error in a large population-based sample, all of whom have been systematically and objectively assessed using reproducible methods.
| Methods |
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Measurements
All individuals underwent visual acuity testing using the ETDRS
logmar chart and nondilated refraction using a Humphrey-670 automatic
refractor. An automatic refractor measures refractive error by
detection of infrared light aligned through the pupil and reflected
back by the retina. Keratometry (corneal curvature) readings are
obtained by capture of distortions of the reflections from nine source
LEDs.
Three measures were recorded for each eye: spherical equivalent, total astigmatism, and corneal astigmatism, which is the difference between the two axes of the keratometry readings obtained by the autorefractor. All readings were recorded in diopters. Spherical equivalent and corneal astigmatism values approximated a normal distribution and so were analyzed using the raw data. Total astigmatism appeared left-skewed, and the square root values were used for subsequent analysis because they best approximated a normal distribution.
Astigmatism is a vector, consisting of magnitude and direction (angle). It has been attempted to reduce the magnitude and angle of astigmatism to one relative value,18 which Naeser has termed the polar value of net astigmatism.19 This was calculated from the total astigmatism data.
Thirty twins from this series were measured on two occasions to study the reproducibility of the measurements. Intraclass correlations obtained were 0.98 for spherical equivalent, 0.98 for keratometry readings, and 0.92 and 0.84 for total astigmatism of the right and left eyes, respectively.
Analytical Approach
Twin studies are based on the comparison of concordance (or
correlation) between identical or MZ twin pairs and nonidentical or DZ
twin pairs. MZ twins share the same genes, and DZ twins on average
share only half their genes; any greater similarity between MZ twins
can therefore be attributed to this additional gene sharing.
Quantitative genetic model fitting to twin data has been fully described elsewhere.20 21 In short, the technique is based on the comparison of the covariances (or correlations) in MZ and DZ twin pairs and allows separation of the observed phenotypic variance into additive (A) or dominant (D) genetic components and common (C) or unique (E) environmental components. The latter also contains measurement error. Dividing each of these components by the total variance yields the different standardized components of variance, for example, the heritability (h2), which can be defined as the ratio of additive genetic variance to total phenotypic variance. Figure 1 illustrates a path model used in twin studies.
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Model Fitting Procedure
The significance of variance components A, C, and D, was
assessed by testing the deterioration in model fit after each component
was removed sequentially from the full model, leading to a model in
which the pattern of variances and covariances was explained by as few
parameters as possible. Submodels were compared with the full model by
hierarchic
2 tests. The difference in
2 values between submodel and full model is
itself approximately distributed as
2, with
degrees of freedom (df) equal to the difference in df of submodel and
full model.
Statistical Software
Data handling and preliminary analyses were done with
STATA.25
All genetic modeling was carried out with
Mx.26
| Results |
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Multivariate analysis confirmed the best-fitting models suggested by the univariate analysis reported above: the AE model for spherical equivalent and the ADE model for astigmatism (data not shown). The dominant genetic effects in astigmatism were significant for both total astigmatism (P = 0.03) and corneal astigmatism (P = 0.03).
Table 4 displays the parameter estimates and 95% confidence intervals (CIs) for the best-fitting models from the multivariate analysis. For spherical equivalent, the heritability was 84% to 86%, with the remaining 14% to 16% of the variance due to unique environmental variance. Dominant genes explained a significant proportion of the population variance for astigmatism: 47% to 49% for total astigmatism and 42% to 61% for corneal astigmatism (the wider 95% CI may reflect the smaller sample size of this measure). Additive genes explained a small proportion of the variance of astigmatism (1%18%) and individual environment explained the rest of the variance (34%50%).
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-0.5 D), and 55%
were hyperopic (
0.5 D). Using these cutoffs and treating each of
these traits as dichotomous (i.e., yes/no), modeling predicted that the
heritability of myopia was 90% (95% CI, 81%95%), and the
heritability of hyperopia was 89% (95% CI, 81%94%). The effects of age were considered, because of possible loss of myopia with age27 and also the potential myopic effect of early nuclear cataract. In fact the correlation between age and spherical equivalent was weak, with a correlation coefficient of 0.1. When age was incorporated into the model for spherical equivalent, it only accounted for a modest 1.4% (95% CI, 0.2%3.9%) of the population variance. Similarly astigmatism was weakly correlated with age, with a coefficient of 0.15 for both total and corneal astigmatism. Modeling again predicted that age accounted for a small proportion of the population variance of astigmatism of <3%.
| Discussion |
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50% for total
astigmatism and up to 60% for corneal astigmatism. Ours is the first twin study to objectively examine a population both wearing and not wearing spectacles and to use the continuous population distribution of refractive error to estimate the relative importance of heritability and environment using modern model fitting techniques.
The high heritability of spherical equivalent compares with previous twin studies: Finnish postal studies, using only spectacle prescription data sent by a sample of twins via postal questionnaire, reported a heritability for myopia for women of 0.618 and 0.75 for hyperopia,11 treating the traits as dichotomous variables. However, these results only included twins who were both wearing spectacles and who sent in their prescription and will have excluded low levels of refractive error in either or both twins not requiring spectacle correction.
Other twin studies of myopia (such as the Chinese study of myopia that estimated a heritability of 0.617 ) selected twins at least one of which was myopic and so might not be generalizable to the whole population. They also used subjective refraction (as did Sorsbys less selective study of 118 twin pairs5 ), resulting in potential bias due to the zygosity of twins being obvious. Autorefraction was used in our study rather than retinoscopy and subjective refraction to avoid this bias.
Our heritability of 85% for spherical equivalent, similar to the 87%
heritability found in a recent recalculation30
of data
from the United Kingdom in the early 1960s,5
is remarkable
given the focus of many studies on environment risk factors such as the
"use-abuse" theory that close work produces myopia.31
The Baltimore Eye Study showed the odds ratio for years of education
was 1.36 in myopia and 0.67 in hyperopia.32
This suggests
that myopia and hyperopia may be subject to the same spectrum of
genetic and environmental influences, justifying our use of unbiased
continuous measurement of refractive error in a population. Even if
myopia and hyperopia are treated separately with thresholds of
-0.5 D and
0.5 D, the heritabilities were 90% and 89%,
respectively, confirming the importance of the genetic effect.
This study shows that genetic effects have the greatest contribution to the overall population variance of spherical equivalent, but it does not invalidate the very real findings of a dramatically increasing prevalence of myopia, especially in the Far East.4 The inherited factors may include a susceptibility to adaptive myopia when the predominant visual tasks move from far to near as society becomes more economically developed (e.g., myopia was only seen in Eskimos coincident with introduction of formal education).33 Genes may be involved in behavior as well as the ocular mechanisms of myopia.
Heritability is population specific; our figure applies to this population of British women and could be different for other populations with different gene pools or environmental circumstances. Another potential limitation of this study could be possible recruitment bias as the twins are volunteers; this has been minimized by recruitment of twins initially unaware of the eye test or of its reason when asked to attend for the eye examination. Twin studies make the "equal environment assumption" that MZ and DZ twins share the same common family environment. In addition some have argued that twin data might not be generalizable to the singleton population. However, the equal environment assumption holds up to analysis and in general twins show similar morbidity and mortality to the rest of the population.34 The prevalence of refractive error in the twins was similar to that of other population studies.35
Our study is the second study to suggest that astigmatism may be dominantly inherited, which was raised recently in an Italian family study using complex segregation analysis.14 Our results are exciting because twin studies generally have low power to detect dominance due to the low DZ correlation, especially in univariate models.36 We used information from both eyes in a multivariate model, optimizing power to detect dominant genetic effect.20 22 The failure of a Finnish twin study to find a difference between MZ and DZ astigmatism correlations is unsurprising: they studied only 72 pairs of twins selected because both wore glasses and had sent in their prescriptions from a postal questionnaire.12 This could underrepresent discordant twins one of whom, for example, did not require spectacles and those with low levels of astigmatism not requiring correction.
So far, we have only reported the analysis of the magnitude of the astigmatism, as have other studies.14 Modeling of the polar value, which includes both magnitude and angle of the vector of astigmatism, resulted in the same ADE model as best-fitting (data not shown). However, application of the formula resulted in lower correlations because of relative values of oblique astigmatism being reduced, which impaired the fit of the model.
Age is a potential bias in a study such as ours, which looked at refractive error in a population with mean age of 62 years. The weak positive correlation of spherical equivalent with age (r = 0.1) suggests, like other population studies, that our younger twins are slightly more myopic than the older ones. However, because age only explained 1.4% (95% CI, 0.2%3.9%) of the variance, it did not appear to be a significant factor in our population. We therefore felt justified in excluding age from the final modeling results. Recent population data support this, suggesting that there is little change in refractive error over 5 years.37
| Conclusions |
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| Footnotes |
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Submitted for publication October 4, 2000; revised January 18, 2001; accepted January 26, 2001.
Commercial relationships policy: F (TDS); N (all others).
The publication costs of this article were defrayed in part by page
charge payment. This article must therefore be marked
"advertisement" in accordance with 18 U.S.C.
1734
solely to indicate this fact.
Corresponding author: Christopher J. Hammond, Twin Research and Genetic Epidemiology Unit, St. Thomas Hospital, Lambeth Palace Road, London SE1 7EH, UK. ch{at}twin-research.ac.uk
| References |
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