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Figure.  The Study Cohort and Maternal and Paternal Sibling Subcohorts
The Study Cohort and Maternal and Paternal Sibling Subcohorts

The children were born between January 1, 1980, and December 31, 2004.

Table 1.  Overview of the ASDs Recurrence Risk Studies
Overview of the ASDs Recurrence Risk Studies
Table 2.  Description of the Study Cohort
Description of the Study Cohort
Table 3.  Description of the Study Cohort, With the ASDs and Childhood Autism Prevalence and Recurrence Risk in Danish Families Among Births From 1980 to 2004
Description of the Study Cohort, With the ASDs and Childhood Autism Prevalence and Recurrence Risk in Danish Families Among Births From 1980 to 2004
Table 4.  Autism Spectrum Disorders (ASDs) and Childhood Autism Relative Recurrence Risk in Danish Families Among Births From 1980 to 2004
Autism Spectrum Disorders (ASDs) and Childhood Autism Relative Recurrence Risk in Danish Families Among Births From 1980 to 2004
Table 5.  Autism Spectrum Disorders (ASDs) Relative Recurrence Risk in the Maternal and Paternal Sibling Subcohorts
Autism Spectrum Disorders (ASDs) Relative Recurrence Risk in the Maternal and Paternal Sibling Subcohorts
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Baron-Cohen  S, Scott  FJ, Allison  C,  et al.  Prevalence of autism-spectrum conditions: UK school-based population study [published correction appears in Br J Psychiatry. 2009;195(2):182].  Br J Psychiatry. 2009;194(6):500-509.PubMedGoogle ScholarCrossref
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Autism and Developmental Disabilities Monitoring Network Surveillance Year 2008 Principal Investigators; Centers for Disease Control and Prevention.  Prevalence of autism spectrum disorders: Autism and Developmental Disabilities Monitoring Network, 14 sites, United States, 2008.  MMWR Surveill Summ. 2012;61(3):1-19.PubMedGoogle Scholar
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Kim  YS, Leventhal  BL, Koh  YJ,  et al.  Prevalence of autism spectrum disorders in a total population sample.  Am J Psychiatry. 2011;168(9):904-912.PubMedGoogle ScholarCrossref
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Newschaffer  CJ, Croen  LA, Daniels  J,  et al.  The epidemiology of autism spectrum disorders.  Annu Rev Public Health. 2007;28:235-258.PubMedGoogle ScholarCrossref
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Taniai  H, Nishiyama  T, Miyachi  T, Imaeda  M, Sumi  S.  Genetic influences on the broad spectrum of autism: study of proband-ascertained twins.  Am J Med Genet B Neuropsychiatr Genet. 2008;147B(6):844-849.PubMedGoogle ScholarCrossref
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Rosenberg  RE, Law  JK, Yenokyan  G, McGready  J, Kaufmann  WE, Law  PA.  Characteristics and concordance of autism spectrum disorders among 277 twin pairs.  Arch Pediatr Adolesc Med. 2009;163(10):907-914.PubMedGoogle ScholarCrossref
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Lichtenstein  P, Carlström  E, Råstam  M, Gillberg  C, Anckarsäter  H.  The genetics of autism spectrum disorders and related neuropsychiatric disorders in childhood.  Am J Psychiatry. 2010;167(11):1357-1363.PubMedGoogle ScholarCrossref
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Ronald  A, Hoekstra  RA.  Autism spectrum disorders and autistic traits: a decade of new twin studies.  Am J Med Genet B Neuropsychiatr Genet. 2011;156B(3):255-274.PubMedGoogle ScholarCrossref
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Hallmayer  J, Cleveland  S, Torres  A,  et al.  Genetic heritability and shared environmental factors among twin pairs with autism.  Arch Gen Psychiatry. 2011;68(11):1095-1102.PubMedGoogle ScholarCrossref
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Ritvo  ER, Jorde  LB, Mason-Brothers  A,  et al.  The UCLA–University of Utah epidemiologic survey of autism: recurrence risk estimates and genetic counseling.  Am J Psychiatry. 1989;146(8):1032-1036.PubMedGoogle Scholar
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Bailey  A, Le Couteur  A, Gottesman  I,  et al.  Autism as a strongly genetic disorder: evidence from a British twin study.  Psychol Med. 1995;25(1):63-77.PubMedGoogle ScholarCrossref
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Constantino  JN, Zhang  Y, Frazier  T, Abbacchi  AM, Law  P.  Sibling recurrence and the genetic epidemiology of autism.  Am J Psychiatry. 2010;167(11):1349-1356.PubMedGoogle ScholarCrossref
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Bolton  P, Macdonald  H, Pickles  A,  et al.  A case-control family history study of autism.  J Child Psychol Psychiatry. 1994;35(5):877-900.PubMedGoogle ScholarCrossref
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Chudley  AE, Gutierrez  E, Jocelyn  LJ, Chodirker  BN.  Outcomes of genetic evaluation in children with pervasive developmental disorder.  J Dev Behav Pediatr. 1998;19(5):321-325.PubMedGoogle ScholarCrossref
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Sumi  S, Taniai  H, Miyachi  T, Tanemura  M.  Sibling risk of pervasive developmental disorder estimated by means of an epidemiologic survey in Nagoya, Japan.  J Hum Genet. 2006;51(6):518-522.PubMedGoogle ScholarCrossref
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Ozonoff  S, Young  GS, Carter  A,  et al.  Recurrence risk for autism spectrum disorders: a Baby Siblings Research Consortium study.  Pediatrics. 2011;128(3):e488-e495. http://pediatrics.aappublications.org/content/128/3/e488.long. Accessed July 4, 2013.PubMedGoogle Scholar
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Pedersen  CB, Gøtzsche  H, Møller  JO, Mortensen  PB.  The Danish Civil Registration System: a cohort of eight million persons.  Dan Med Bull. 2006;53(4):441-449.PubMedGoogle Scholar
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Jones  MB, Szatmari  P.  Stoppage rules and genetic studies of autism.  J Autism Dev Disord. 1988;18(1):31-40.PubMedGoogle ScholarCrossref
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Sullivan  PF, Magnusson  C, Reichenberg  A,  et al.  Family history of schizophrenia and bipolar disorder as risk factors for autism.  Arch Gen Psychiatry. 2012;69(11):1099-1103.PubMedGoogle ScholarCrossref
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Selkirk  CG, McCarthy Veach  P, Lian  F, Schimmenti  L, LeRoy  BS.  Parents’ perceptions of autism spectrum disorder etiology and recurrence risk and effects of their perceptions on family planning: recommendations for genetic counselors.  J Genet Couns. 2009;18(5):507-519.PubMedGoogle ScholarCrossref
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Original Investigation
October 2013

Recurrence of Autism Spectrum Disorders in Full- and Half-Siblings and Trends Over Time: A Population-Based Cohort Study

Author Affiliations
  • 1Section of Biostatistics, Department of Public Health, Aarhus University, Aarhus, Denmark
  • 2Centers for Disease Control and Prevention, Atlanta, Georgia
JAMA Pediatr. 2013;167(10):947-953. doi:10.1001/jamapediatrics.2013.2259
Abstract

Importance  To date, this is the first population-based study to examine the recurrence risk for autism spectrum disorders (ASDs), including time trends, and the first study to consider the ASDs recurrence risk for full- and half-siblings.

Objectives  To estimate the relative recurrence risk for ASDs in a Danish population, including recurrence in full- and half-siblings, and to examine time trends in ASDs relative to the recurrence risk.

Design, Setting, and Participants  Population-based cohort study in Denmark. All children (about 1.5 million) born in Denmark between January 1, 1980, and December 31, 2004, were identified and followed up to December 31, 2010. We identified a maternal sibling subcohort derived from mothers with at least 2 children and a paternal sibling subcohort derived from fathers with at least 2 children.

Exposures  Children having an older sibling with ASDs are compared with children not having an older sibling with ASDs.

Main Outcomes and Measures  The adjusted hazard ratio for ASDs among children having an older sibling with ASDs compared with children not having an older sibling with ASDs.

Results  The overall relative recurrence risk for ASDs was 6.9 (95% CI, 6.1-7.8), and it did not change significantly over time; similar risks were observed in maternal and paternal full-siblings. The relative recurrence risks were 2.4 (95% CI, 1.4-4.1) for maternal half-siblings and 1.5 (95% CI, 0.7-3.4) for paternal half-siblings.

Conclusions and Relevance  Our population-based recurrence risk estimate is lower than the recently reported estimates from clinical samples. Our results demonstrate no time trend in the ASDs recurrence risk as seen in the ASDs prevalence. The difference in the recurrence risk between full- and half-siblings supports the role of genetics in ASDs, while the significant recurrence risk in maternal half-siblings may support the role of factors associated with pregnancy and the maternal intrauterine environment in ASDs.

Autism spectrum disorders (ASDs) are neurodevelopmental disorders characterized by difficulties in social interaction and communication accompanied by stereotypic, repetitive behavior and narrow interests.1,2 Childhood autism (CA)1,2 accounts for approximately 30% of all ASD cases3 and generally is the most severe form of ASDs. The reported prevalence of ASDs has increased during the last 2 decades. The ASDs prevalence is estimated to be approximately 1%4-6 but has been reported to be as high as 2.6%.7 The rise in the reported ASDs prevalence may be rooted in a multitude of factors, such as earlier diagnosis, revised diagnostic criteria, improved case identification, and greater awareness of the disorders, as well as a true increase in the ASDs prevalence.8 The cause remains unknown for most individuals with ASDs, although it is likely that multiple factors contribute, such as perinatal factors, specific genes, and de novo mutations.

The genetic component in ASDs is believed to be strong. A higher concordance has been reported in monozygotic twins than in dizygotic twins,9-11 but twin studies are often limited by small study samples and ascertainment bias.12 The results of a recent twin study13 suggest a smaller effect of genetic factors and a larger effect of environmental factors than previous studies. An important measure of genetic contribution to ASDs is the risk for recurrence in siblings of a child with ASDs. Siblings of an affected child have been reported to be at much higher risk for ASDs than the background population,14-16 although studies14,16-20 are few, with only 2 being recent studies16,20 (Table 1).

Previous studies14,16-20 about the ASD recurrence risk estimated the risk as a proportion of affected later-born siblings based on study samples that only consisted of children with ASDs and their siblings. This required the investigators to compare their estimated recurrence risk with an external, potentially outdated, estimated ASDs prevalence from other studies14,16,18; therefore, they could not account for changes in the ASDs prevalence over time. A more valid approach is to compare the recurrence risk with the general ASDs risk at the same time in the base population from which sibships were drawn, providing a relative measure of the ASD recurrence risk.

The primary objective of this study was to estimate in a Danish population-based cohort the ASD relative recurrence risk in later-born siblings compared with the ASD risk in the background population at the same time. Another unique feature of the analysis was examination of the relative recurrence risk for both full- and half-siblings. The increasing ASDs prevalence over time also raises the question whether the profile of causative factors contributing to ASDs, including the genetic contribution as seen in the recurrence risk, has changed over time. Therefore, a secondary study objective was to examine potential time trends in the ASD relative recurrence risk.

Methods
Study Population

The study was approved by the Danish Data Protection Agency and the Danish National Board of Health. The study cohort consisted of all children born between January 1, 1980, and December 31, 2004, identified in the Danish Medical Birth Registry,21 comprising 1 546 667 children, including multiple births. Excluding multiple births, we identified the following 2 subcohorts: (1) a maternal sibling subcohort derived from mothers with at least 2 children and consisting of their first and second live-born children (comprising 464 057 sibling pairs) and (2) a paternal sibling subcohort derived from fathers with at least 2 children and consisting of their first and second live-born children (comprising 484 189 sibling pairs) (Figure). Because parity is defined with regard to maternal reproductive history and because first and second live-born children of the same father may have different mothers, the paternal sibling pairs may not always be parity 1 and 2, unlike the maternal sibling pairs. Most full-siblings in the maternal sibling subcohort (92.9%) were also included as full-siblings in the paternal sibling subcohort.

All live-born children in Denmark are assigned a personal identification number.22 This unique number was used to link information from the national registries. Mothers were linked to their children in the Danish Medical Birth Registry, and fathers were linked to their children through the Danish Civil Registration System.22 Data on death were obtained from the Danish Civil Registration System.

Main Outcome Measures

Diagnoses of ASDs are entered in the Danish Psychiatric Central Register,23 which includes information on all inpatient admissions to psychiatric hospitals and psychiatric wards in general hospitals in Denmark since April 1, 1969, and all outpatient contact since January 1, 1995. All registered diagnoses are made by psychiatrists. Children who are suspected of having an ASD are referred by general practitioners or school psychologists to a child psychiatric ward, where they are evaluated by a multidisciplinary team and are assigned a final diagnosis by a child psychiatrist. All cases of ASDs are registered in the Danish Psychiatric Central Register once a formal diagnosis is established and without regard to need for treatment or educational provisions. The International Classification of Diseases, Eighth Revision (ICD-8)1 was the diagnostic instrument used by physicians in Denmark from April 1, 1969, through January 1, 1994. In 1994, the International Statistical Classification of Diseases, 8th Revision (ICD-8) was replaced by the International Statistical Classification of Diseases, 10th Revision (ICD-10),2 which is still being used. The main study outcome measure was ASDs (ICD-8 codes 299.00, 299.01, 299.02, and 299.03 and ICD-10 codes F84.0, F84.1, F84.5, F84.5, and F84.9). A second outcome measure was CA (ICD-8 code 299.00 and ICD-10 code F84.0). A follow-up period began for all children from birth and continued until diagnosis of ASDs (or CA) or death or the end of follow-up period on December 31, 2010, whichever occurred first, providing at least 6 years of follow-up data for each child.

Statistical Analysis

In the population cohort, the ASDs prevalence and recurrence risk were estimated using Kaplan-Meier methods. For the population cohort, siblings were defined as having the same mother. In the recurrence risk estimation, the younger sibling became at risk for an ASDs diagnosis when the older sibling was diagnosed as having ASDs (time-dependent covariate). We only estimated the recurrence risk for the birth year groups with at least 5 recurrent cases. For the relative recurrence risk, the hazard ratio (HR) associated with an ASD in an older sibling was estimated using Cox proportional hazards regression model, with separate diagnostic baseline rates for each birth year to adjust for changes in the ASDs prevalence over time. Multiple births underwent specific analysis. If the older sibling having an ASD diagnosis was a multiple birth, then the undiagnosed multiples were not classified as exposed because only younger siblings were considered exposed. If younger siblings were part of a multiple birth and had an older sibling diagnosed as having an ASDs, each child in the multiple birth counted as a child at risk for a recurrence. We also estimated the recurrence risks with the exclusion of all multiple births.

Because ASDs is a rare disorder (<10% prevalence), we can interpret an HR as a relative risk24; hence, we interpret our estimates as the relative recurrence risks. The group having no ASD diagnoses in older siblings is representative of the background population. Similarly, we estimated the prevalence, the recurrence risk, and the relative recurrence risk for CA in cases in which both the index child and the older sibling had a CA diagnosis. The Cox proportional hazards regression assumption was evaluated for all variables by comparing estimated log-minus-log survivor curves over the different categories of variables investigated. Control for the lack of independence of children within the same family was obtained using a robust (Huber-White Sandwich) variance estimator.

In the adjusted analyses, we included parity, sex of the child, parental age at birth, and parental psychiatric history.25,26 Information about birth date and sex is included with the personal identification number. Maternal and paternal ages were categorized into the following 3 groups: younger than 35 years, 35 to 39 years, and 40 years or older. Parental psychiatric history was obtained from the Danish Psychiatric Central Register. Maternal and paternal psychiatric histories were defined as at least 1 psychiatric diagnosis (ICD-8 code 290-315 and ICD-10 codes F00-F99) before the birth of the child. Parity was obtained from the Danish Civil Registration System, which included all siblings for each child, from which the parity was calculated. Parity was grouped as 1, 2, and 3 or more.

We estimated the crude and adjusted relative recurrence risks for the whole cohort. We also estimated the adjusted relative recurrence risks using the definition of parental psychiatric history as a psychiatric diagnosis before the first-born child of the mother.

Based on the 2 subcohorts, we estimated the crude and adjusted relative recurrence risks for ASDs for the following 4 types of siblings: (1) full-siblings in the maternal sibling subcohort (parity 1 and 2), (2) maternal half-siblings, (3) full-siblings in the paternal sibling subcohort (all parities), and (4) paternal half-siblings. Furthermore, we estimated the crude relative recurrence risks for ASDs in the 4 combinations of sexes of the first-born and second-born children (eAppendix in the Supplement).

Results

The distribution of the variables included in the adjusted analysis is summarized in Table 2 for children having an older sibling with ASDs and for children not having an older sibling with ASDs. A total of 13 164 cohort children were diagnosed as having ASDs, of which 3494 were diagnosed as having CA. Table 3 lists the number of births and the ASDs and CA cases and prevalence, as well as the number of recurrent cases and the recurrence risks for the birth year groups. The overall cohort prevalence of ASDs was 1.2% (95% CI, 1.2%-1.2%), and there were 276 recurrent ASDs cases. Across the birth year groups, the ASDs recurrence risks ranged from 4.5% to 10.5%. The overall cohort prevalence of CA was 0.3% (95% CI, 0.3%-0.3%), and the CA recurrence risks ranged from 4.1% to 8.8%; for most years, the CA recurrence risk could not be estimated because of fewer than 5 recurrent cases. The relative recurrence risks are summarized in Table 4. Children with an older sibling diagnosed as having ASDs were almost 7 times more likely to be diagnosed as having ASDs compared with children without an older sibling having ASDs (adjusted HR [aHR], 6.9; 95% CI, 6.1-7.8). The relative recurrence risk for CA was almost twice as high as that for ASDs (aHR, 13.0; 95% CI, 9.4-18.0). No significant time trend was observed in the relative recurrence risk for ASDs (P = .77) (Table 4); there were too few cases to investigate time trends for CA.

Of 464 057 sibling pairs in the maternal sibling subcohort, 4061 first-born children and 3978 second-born children had an ASD. Of 484 189 sibling pairs in the paternal sibling subcohort, 3987 first-born children and 4000 second-born children had an ASD. We found comparable relative recurrence risk estimates for ASDs in the maternal and paternal sibling subcohorts compared with the whole population cohort (Table 5). In the maternal sibling subcohort, we found a lower but statistically significant relative recurrence risk for ASDs for maternal half-siblings (aHR, 2.4; 95% CI, 1.4-4.1) compared with that for full-siblings (aHR, 7.5; 95% CI, 6.3-9.0) (P < .001). Compared with the maternal sibling subcohort estimates, the adjusted relative recurrence risk in the paternal sibling subcohort was comparable in full-siblings (aHR, 7.4; 95% CI, 6.2-8.9; P < .001), but the risk in paternal half-siblings was lower (aHR, 1.5; 95% CI, 0.7-3.4). Furthermore, the adjusted relative recurrence risk for ASDs for paternal half-siblings was nonsignificant (P = .32).

Changing the definition of parental psychiatric history in any of the adjusted analyses did not markedly change the estimates (data not shown). Similarly, exclusion of all multiple births did not change the results.

Discussion

The recurrence risks for ASDs varied from 4.5% to 10.5% depending on the birth year group, which is a much higher than the ASDs risk of 1.18% (95% CI, 1.16%-1.21%) in the overall Danish population. In adjusted analyses, we found an almost 7-fold increase in ASDs risk if an older sibling had an ASD diagnosis compared with no ASD diagnoses in older siblings, and no significant time trend was observed in the ASD relative recurrence risk during 25 birth years in the study period. In children with the same mother, the adjusted relative recurrence risk of 7.5 in full-siblings was significantly higher than the risk of 2.4 in half-siblings. In children with the same father, the adjusted relative recurrence risk was 7.4 in full-siblings and significant, but no statistically significant increased risk was observed among paternal half-siblings.

Our absolute recurrence risk estimates (4.5%-10.5%) are lower than the other recent estimates16,20 based on enrollment of families with at least 1 child having an ASD. Siblings of a child with ASD may have a higher risk for being diagnosed as having ASD than children in a family with no ASD diagnoses in part because of increased parental awareness. This increased awareness might enhance the recurrence risk relative to the general population risk. However, a parental awareness effect may be mitigated somewhat in population-based studies like ours that include all families and void bias from differential participation. Our estimate of the relative recurrence risk is lower than what can be derived from the recurrence risk estimates and the referent ASDs prevalence reported recently.16

Twin studies9-12 investigated the genetic contribution to ASDs using the estimates of heritability. From these twin studies and reports of a high sibling recurrence risk, the genetic component in ASDs is believed to be strong. The results of a recent twin study13 suggest that the environmental component in ASDs is much stronger than previously believed. However, ASDs twin studies have been limited by small sample sizes and potential ascertainment bias. Our estimates of the absolute and relative recurrence risks support the genetic pathway to ASDs, but they suggest a lower inherited genetic contribution to ASDs recurrence than previous findings. Furthermore, we found no significant trend in the relative recurrence risk over time, despite an overall increase in ASDs prevalence. Therefore, the factors contributing to the risk for ASDs recurrence in siblings (perhaps a combination of genetic and environmental factors) either have not changed over time, or the changes have not affected the risk for recurrence. In our data, the ASDs absolute recurrence risk was about 7 times the ASDs risk in the general population. With an ASDs prevalence of about 1%, our best estimate for a benchmark for parental counseling is 7%.

The relative recurrence risk is a measure of the contribution to ASD origin from genes and environmental factors shared within the family. The genetic contribution includes the genes transmitted from parent to offspring. A fundamental genetic difference between full-siblings and half-siblings is that full-siblings share one-half of their genes (the genetic contributions from both shared parents), whereas half-siblings only share one-quarter of their genes (the genetic contribution from the shared parent). The significantly higher relative recurrence risk for ASDs in full-siblings compared with both maternal and paternal half-siblings supports the genetic pathway to ASDs because full-siblings are genetically more similar than half-siblings. In contrast, familial environmental factors include maternal perinatal factors and intrauterine environment and the family’s lifestyle. Maternal half-siblings share genes from their mother, as well as exposures derived from their mother’s intrauterine environment and perinatal history that may be common across her different pregnancies; paternal half-siblings share genes from their father but lack shared environmental factors associated with pregnancy. The significantly elevated relative recurrence risk for ASDs in maternal half-siblings, along with the somewhat lower risk in paternal half-siblings that was not significant, suggests that environmental factors unique to the mother’s pregnancy history may contribute to ASDs. An important issue to address in the study of ASD recurrence is the tendency that parents having a child with ASDs may choose to not have any more children. This phenomenon, known as stoppage, may result in an underestimate of the recurrence risk for several reasons,27 including the possibility that parents who stop reproducing are systematically different from the ones who continue. Those who stop may be parents of children with the most severe ASD cases, and these may be the families with the strongest genetic component. In this example, the liability of recurrence may be higher among the parents who stop, and our recurrence risk estimates become a lower boundary for the recurrence risk. Therefore, it would be relevant to estimate the recurrence risks in families with more than 1 affected individual, but this was impossible in the present study.

Parental psychiatric history is known to be associated with the risk for ASDs26,28,29 and should be adjusted for in analyses concerning other risks for ASDs. In recurrence risk studies, the definition of parental psychiatric history may be problematic because the parental psychiatric diagnoses could be a consequence of an older sibling’s ASD diagnosis. To address this potential source of uncontrolled confounding, we changed the parental psychiatric history definition to only include diagnoses before birth of the first-born child, and we observed no change in the results in the adjusted analyses.

The CA diagnosis in the Danish Psychiatric Central Register has been validated25; among 499 evaluated medical records of children diagnosed as having CA, 94% met the criteria for CA. The quality of ASD diagnosis has not been validated but is generally believed to be high.30 We are potentially missing some ASD diagnoses made before 1995 because children are not registered as having ASDs if they were only seen in the outpatient clinic from January 1, 1980, through December 31, 1994, and had no contact with a psychiatric ward after 1994. However, this potential outcome misclassification is most likely nondifferential for the recurrence risk because we observed no trend in the relative recurrence risk over time. There may be undetected cases, resulting in underestimation of the ASDs prevalence and recurrence risks.

In conclusion, our results based on a large, population-based sample and adjustment for several important confounders indicate a recurrence risk for ASDs of about 7%, which is substantially lower than recent reports from smaller, clinic-based populations. If used as a benchmark for parental counseling, this estimate should be reassuring to parents having a child with an ASD if they are considering having another child.31,32 Although the results from our comparison of recurrence in full- and half-siblings support the role of genetics in ASDs, the significant recurrence in maternal half-siblings may support the idea of a contributing role of factors associated with pregnancy and the maternal intrauterine environment. Finally, the lack of a time trend in the relative recurrence risk in our data suggests that the likely combination of genetic and environmental factors contributes to the risk for ASD recurrence in siblings or that the risk for recurrence because of such factors has not been affected by the rise in the ASD prevalence.

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Article Information

Accepted for Publication: February 14, 2013.

Corresponding Author: Therese K. Grønborg, MSc, Section of Biostatistics, Department of Public Health, Aarhus University, Bartholins Allé 2, DK-8000 Aarhus C, Denmark (therese@biostat.au.dk)

Published Online: August 19, 2013. doi:10.1001/jamapediatrics.2013.2259.

Author Contributions: Study concept and design: All authors.

Acquisition of data: Grønborg, Parner.

Analysis and interpretation of data: All authors.

Drafting of the manuscript: Grønborg, Parner.

Critical revision of the manuscript for important intellectual content: Schendel, Parner.

Statistical analysis: Grønborg, Parner.

Obtained funding: Parner.

Administrative, technical, and material support: Parner.

Study supervision: Schendel, Parner.

Conflict of Interest Disclosures: None reported.

Funding/Support: This study is funded by Aarhus University.

Disclaimer: The findings and conclusions in this article are those of the authors and do not necessarily represent the official position of the Centers for Disease Control and Prevention.

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