We screened 27,975,854 Merative MarketScan 2003–2024 families with at least two age-window candidate members and identified 5,135,006 two-child families (10,270,012 individuals) meeting our eligibility criteria: at least one inferred parent, exactly two non-parent children, each with 365 or more days of enrollment visibility and age at last observation of 12 years and older (Fig. 1a and Table 1). For family-size context before parent inference and individual eligibility filtering, 66,054,423 family identifiers contained at least one age-window candidate member; 57.6% contained one, 24.7% contained two, 10.8% contained three, 4.6% contained four and 2.2% contained five or more. Among the 27,975,854 family identifiers with at least two valid-sex and birth-year candidate children, 58.3% had two candidate children and 41.7% had three or more.
Table 1 Cohort characteristics
For the between-family analysis, we identified 1,616,881 matched sibling pairs by pairing a first-born from one family with a second-born from a different family, matched exactly on sex, birth year and urbanization tertile, with calipers on follow-up duration (± 50 days), paternal age (± 10 years), maternal age (± 10 years), and sibling age gap (± 2 years). After matching, standardized mean differences (SMDs) improved for all covariates (Fig. 1c). The strict clinical rematch further reduced the imbalance for parental-age and clinical baseline variables, while a separate within-family cohort of 5.1 million families was used for sibling comparisons. The underlying cohort was predominantly from high-urbanicity areas, drawn from across all four census regions, with birth years spanning 1978–2013 (Fig. 1b).
For the within-family analysis, we used all 5,135,006 cohort families directly, comparing the first-born to the second-born within each family using conditional logistic regression stratified on family identifier. This design reduces confounding by factors shared between siblings (for example, parental genetics, household socioeconomic status, geographical exposures, family health attitudes), at the cost of being powered only by disease-discordant sibling pairs25.
Signal yields across the four analytical designs are summarized in Fig. 1d: the primary between-family design detected 150 Bonferroni-significant and 242 nominally significant diseases; the state fixed-effects specification, the stricter clinical rematch and the within-family design each produced broadly consistent counts.
Throughout, odds ratios (ORs) compare second-borns with first-borns: an OR below 1 denotes lower risk in second-borns (equivalently, increased first-born risk; ‘first-born excess’), whereas an OR above 1 denotes increased risk in second-borns (‘second-born excess’). Birth-order associations run in both directions across the phenome.
Phenome-wide birth-order atlas
To display the Bonferroni-significant birth-order associations that were also Bonferroni-significant and directionally concordant in the within-family analysis, we constructed a disease atlas organized according to clinical domain (Fig. 2 and Extended Data Fig. 1). In this atlas, each disease tile is colored according to the direction and magnitude of the birth-order effect, with blue indicating first-born excess and red indicating second-born excess. Tile color intensity is proportional to the absolute effect size (\(| {\mathrm{log}}_{2}(\mathrm{OR})|\)); only diseases reaching Bonferroni significance in both the primary between-family and within-family analyses with concordant direction are displayed.
The atlas across five key domains (Fig. 2) reveals that first-born excess is concentrated in the neuropsychiatric domain, whereas second-born excess is prominent in musculoskeletal, infectious and neurological diseases. Within the neuropsychiatric domain, first-born excess is observed across a broad diagnostic spectrum from the other/unspecified PDD code group and tics/Tourette syndrome (strongest effects, \(| {\mathrm{log}}_{2}(\mathrm{OR})| > 0.5\)) through autism, obsessive-compulsive disorder (OCD) and attention-deficit/hyperactivity disorder (ADHD) to milder effects such as anxiety, eating disorders and depression, while substance abuse is a notable exception with second-born excess.
The expanded atlas across all displayed clinical domains (Extended Data Fig. 1) additionally reveals dermatological first-born excess (acne, hirsutism, seborrheic dermatitis), respiratory associations (first-born excess for asthma and allergic rhinitis), endocrine and metabolic associations (first-born excess for lipid metabolism disorders and pubertal dysfunction, second-born excess for electrolyte/acid–base disorders), digestive second-born excess (gastritis and duodenitis, irritable bowel syndrome, appendiceal and esophageal disease) and musculoskeletal second-born excess concentrated in joint connective tissue conditions.
Domain-level summary
The distribution of significant birth-order effects across the 15 noncongenital/non-injury clinical domains displayed in the domain-level visualization is summarized in Extended Data Fig. 2. The atlas in Extended Data Fig. 1 displays 75 concordant Bonferroni-significant diseases across 14 clinical domains. The neuropsychiatric domain contributed the largest number of significant associations, with a striking predominance of first-born excess (Extended Data Fig. 2a). Dermatological and sense organ categories also showed predominantly first-born excess. In contrast, digestive, musculoskeletal, genitourinary, circulatory and infectious disease domains were enriched for second-born excess. Several domains, including respiratory and endocrine and metabolic, showed mixed directionality.
Within-domain effect size distributions (Extended Data Fig. 2b) reveal that the neuropsychiatric domain shows the widest spread of effect sizes, with median effects shifted toward first-born excess. The digestive and musculoskeletal domains show median effects that have shifted toward second-born excess. Most domains have median effects close to null, reflecting a mixture of excess diseases from the first-born and second-born within each category. To quantify domain-level clustering rather than relying only on visual inspection, we fitted an empirical-Bayes partial-pooling model to disease-level log-ORs and standard errors within each design (Extended Data Fig. 3). The strongest domain-level first-born shift was in the neuropsychiatric and behavioral domain, with pooled ORs of 0.902 (95% confidence interval (CI) 0.875–0.930) in the primary between-family scan, 0.914 (0.883–0.945) in the strict rematch and 0.937 (0.919–0.956) in the within-family design. Dermatological associations also showed consistent first-born shifts across between-family and within-family analyses. By contrast, digestive, genitourinary and reproductive, and musculoskeletal domains showed second-born shifts in the between-family analyses that were weaker in the within-family design.
Phenome-wide landscape
We defined 569 diseases using established International Classification of Diseases, Ninth Revision, Clinical Modification (ICD-9-CM) and International Classification of Diseases, Tenth Revision, Clinical Modification (ICD-10-CM) code groupings. Of these, 418 had 500 or more cases in the matched cohort and were included in the between-family analysis. Logistic regression adjusted for sibling age spacing, age at last observation, sex, parental ages, parental psychiatric history, urbanization, county (via clustered standard errors), ICD coding era, enrollment time and a full-sibling consistency flag.
Of these 418 diseases, 150 (35.9%) reached Bonferroni significance (P < 1.20 × 10−4) and 226 (54.1%) reached significance after Benjamini–Hochberg false discovery rate correction at q < 0.05. The landscape across the phenome (Fig. 3) displays all Bonferroni-significant diseases positioned according to prevalence and effect size, with the point size proportional to the number of cases and the colors denoting the category of the disease. Among the 150 Bonferroni-significant diseases, 79 showed first-born excess (OR < 1 for second-born) and 71 showed second-born excess (OR > 1); this deviation from a 50:50 split was not significant (exact binomial P = 0.568). The high rate of significant associations, together with the near-symmetric split between first-born and second-born excess, argues against a systematic bias inflating associations in one direction.
The landscape reveals that the largest effect sizes arise among rarer conditions: the other/unspecified PDD code group (prevalence < 1%, \({\mathrm{log}}_{2}(\mathrm{OR})\approx -0.81\)), tics/Tourette syndrome (\({\mathrm{log}}_{2}(\mathrm{OR})\approx -0.53\)), autism (\({\mathrm{log}}_{2}(\mathrm{OR})\approx -0.44\)) and OCD show pronounced first-born excess, while herpes zoster shows the strongest second-born excess (\({\mathrm{log}}_{2}(\mathrm{OR})\approx +0.43\)). Among highly prevalent conditions, ADHD, allergic rhinitis, asthma and acne show modest but precisely estimated first-born excess, while substance abuse and migraine show second-born excess (Fig. 3).
Strongest birth-order associations
The strongest and most clinically recognizable associations, together with their stability across alternative models, are summarized in Fig. 4, Table 2 and Supplementary 1.
Table 2 Key birth-order associations across disease categories
First-born disease risk excess was most pronounced for neurodevelopmental conditions: the other/unspecified PDD code group (OR = 0.569, 95% CI 0.552–0.587, P = 2.7 × 10−278), tics/Tourette syndrome (OR = 0.693, 95% CI 0.672–0.715, P = 4.0 × 10−116) and autism (OR = 0.737, 95% CI 0.714–0.760, P = 1.2 × 10−81). First-born excesses were also observed for food allergy (OR = 0.797, P = 9.7 × 10−73), acne (OR = 0.866, P < 10−300), anxiety/phobic disorder (OR = 0.889, P = 1.4 × 10−151) and allergic rhinitis (OR = 0.910, P = 5.4 × 10−97).
Because this leading phenotype carried the historical source label ‘unspecified childhood psychoses,’ we audited its ICD definition before interpreting it biologically. The implemented phenotype consists of ICD-9 299.8x/299.9x and ICD-10 F84.8/F84.9 codes, corresponding to other or unspecified PDD codes rather than schizophrenia-spectrum psychosis codes. It contributed 18,557 cases to the primary matched analysis and 5,002 cases to the strict clinical rematch. Across the broader cohort, this code group included 46,640 cases, of whom 20,603 (44.2%) also had an autism-spectrum-disorder phenotype in the current disease map, indicating substantial but incomplete phenotypic overlap with the autism signal. Therefore, we refer to this association as an other/unspecified PDD code-group signal; this relabeling clarifies phenotype interpretation but does not change the estimated birth-order association.
Second-born excess was strongest for herpes zoster (OR = 1.348, P = 4.7 × 10−100), substance abuse (OR = 1.192, P = 3.8 × 10−227), biliary tract disease (OR = 1.179, P = 6.2 × 10−70), gastritis and duodenitis (OR = 1.142, P = 4.3 × 10−85) and migraine (OR = 1.128, P = 2.3 × 10−107).
Within-family sibling comparison
We used conditional logistic regression (clogit) for the analysis of the within-family cohort. We adjusted for family-specific effects, birth cohort, age at last observation in the data, sex, length of enrollment, ICD coding era and calendar period of observation (5-year bins based on the midpoint of each child’s observation window). Of 569 diseases, 541 had 100 or more disease-discordant sibling pairs and were analyzed further. We fitted four model specifications per disease to assess robustness to age–period–cohort (APC) parametrization including (1) cohort-adjusted, (2) cohort plus calendar period, (3) period-only and (4) cohort with gap × birth-order interaction. The cohort-plus-period specification served as our primary within-family model (Supplementary Table 3).
The within-family results broadly corroborated the between-family findings. Among diseases significant in both designs, the direction and magnitude of birth-order effects were consistent: autism within-family OR = 0.804 (95% CI 0.786–0.823, P = 1.1 × 10−74), ADHD within-family OR = 0.936, food allergy within-family OR = 0.901 and substance abuse within-family OR = 1.141.
Robustness across designs
We assessed the robustness of the key birth-order associations across seven analytical specifications spanning both between-family and within-family designs (Fig. 4). The robustness heatmap organizes diseases according to the direction and consistency of their effects, with four between-family columns (primary match, strict clinical rematch, state fixed effects and full-sibling restriction) and three within-family columns (primary, period-only and full-sibling models). The period-only within-family specification, which drops birth cohort and retains only calendar period, showed somewhat attenuated effects for several diseases, probably reflecting residual cohort confounding that is partially absorbed when the birth-year adjustment is omitted.
Among the diseases showing first-born excess, the other/unspecified PDD code group, tics/Tourette syndrome, autism, OCD, food allergy, acne, allergic rhinitis, ADHD and asthma reached Bonferroni significance across all or nearly all specifications, supporting strong robustness. Atopic dermatitis showed directional consistency but reached only nominal significance in most specifications.
Among the diseases showing second-born excess, migraine, gastritis and duodenitis, biliary tract disease, substance abuse, kidney infection and herpes zoster were consistently significant. Herpes zoster showed the strongest and most consistent second-born excess effect across all seven designs.
Cross-design concordance
Across all diseases informative in both designs, between-family and within-family ORs were positively correlated (Pearson r = 0.66, 74.2% directionally concordant; Extended Data Fig. 4a). Among the 150 Bonferroni-significant diseases in the primary between-family analysis, 127 (84.7%) showed the same direction of effect in the within-family analysis; 79 were also Bonferroni-significant in the within-family analysis. Of these 79 dual-significant diseases, 75 (94.9%) were directionally concordant. Among these 150 between-family hits, 110 (73.3%) were attenuated toward the null hypothesis in the within-family estimate. Therefore, we interpret the between-family design as a high-powered scan that can still contain residual between-family confounding, and the within-family design as the internally controlled complement that anchors interpretation when both designs agree.
The stricter clinical rematch produced highly concordant estimates with the primary between-family analysis (r = 0.93, 91% concordant, 92 Bonferroni-significant diseases overlapping with the primary analysis using the primary between-family Bonferroni threshold; Extended Data Fig. 4b and Supplementary Tables 6, 11 and 12), confirming that the primary results are not driven by residual clinical imbalance between matched first-borns and second-borns.
The state fixed-effects specification showed near-perfect agreement with the primary between-family model (r > 0.99, 98% concordant, 143 of 150 Bonferroni-significant diseases also significant; Extended Data Fig. 4c), indicating that geographical confounding has a negligible influence on the birth-order estimates.
Restricting the between-family analysis to the ‘full-sibling’ subset (families where parental-age differences are internally consistent with the sibling spacing, a heuristic for biological full siblings) produced highly concordant results (r = 0.998).
A small number of diseases showed directional discordance between designs. The most notable was obesity (between-family OR = 1.052 indicating second-born excess; within-family OR = 0.938 indicating first-born excess). Such discordances may reflect confounders that vary within families (such as differential parental feeding practices for first versus second children) or differential period effects on diagnosis.
Validation with positive and negative controls
We prespecified five positive controls and seven negative controls to validate the between-family design (Extended Data Fig. 5a). Positive controls were diseases with established birth-order associations, including allergic rhinitis, food allergy and asthma (predicted first-born excess per the sibling-exposure literature), acne (predicted first-born excess based on prior dermatological studies of sebaceous gland activity and healthcare-seeking patterns in first-borns) and substance abuse (predicted second-born excess per the behavioral literature). All five positive controls showed effects in the expected direction in both between-family and within-family designs: allergic rhinitis, food allergy, asthma and acne showed first-born excess (OR < 1), while substance abuse showed second-born excess (OR > 1). Between-family and within-family estimates were concordant in direction for all positive controls, with within-family estimates generally attenuated relative to between-family estimates (Extended Data Fig. 5a, left).
Negative controls included five diseases with primarily genetic or structural etiologies (type 1 diabetes mellitus, cystic fibrosis, Addison disease, Ehlers–Danlos syndrome, Turner syndrome) and two common acute diagnoses chosen as empirical null comparators (acute sinusitis and acute upper respiratory infection). We interpret these negative controls as specificity checks rather than uniformly powered falsification tests. The rare genetic or structural controls had limited power to exclude small birth-order effects at a Bonferroni threshold, whereas the two common acute controls provided higher-powered empirical null comparators. In the primary between-family design, the control estimates were close to the null hypothesis, with acute sinusitis (OR = 0.999) and acute upper respiratory infection (OR = 1.000) showing no meaningful between-family signal (Extended Data Fig. 5a, right). Acute sinusitis showed a small but Bonferroni-significant within-family deviation (OR = 0.965, P = 2.6 × 10−42), so it is best viewed as a near-null specificity check rather than a globally clean negative control. Corresponding within-family estimates for the same control set are reported in Supplementary Table 5.
Sibling age spacing modulates birth-order effects
We examined whether the magnitude of birth-order effects varied with sibling age gap using a gap × birth-order interaction model, stratified into age gap categories (< 4, 4–6, 7–10, > 10 years) (Extended Data Fig. 5b).
For autism, the first-born excess was strongest at gaps of 4–6 years (stratum OR ≈ 0.60) and attenuated at very short (< 4 years) and very long (> 10 years) gaps, producing a U-shaped pattern. ADHD showed a similar pattern, with first-born excess increasing from short to medium gaps and remaining stable at longer gaps. Allergic rhinitis showed progressive attenuation of the first-born protective effect with increasing gap, which is consistent with the microbial diversity framework (closer spacing provides more microbial sharing from the older sibling). Food allergy showed pronounced first-born excess at short gaps that weakened substantially at wider spacing. Substance abuse showed a decreasing second-born excess with greater spacing, suggesting that peer-influence effects of older siblings weaken when the age difference grows. Anxiety and phobia and depression showed stable first-born excess across gap categories (Extended Data Fig. 5b). Gap × birth-order interactions were tested for all 418 diseases; 127 (30.4%) showed significant interactions at the Bonferroni threshold (P < 1.20 × 10−4). Stratified ORs for selected diseases are shown in Supplementary Table 7. We also tested targeted effect modification for seven high-priority diseases. Autism showed significant birth-order interactions with sibling gap (omnibus P = 1.9 × 10−6), paternal age (P = 1.7 × 10−7), maternal age (P = 6.4 × 10−12) and calendar period (P = 3.2 × 10−6), but not sex (P = 0.97). Allergic rhinitis and food allergy also showed gap-dependent effects; substance abuse showed heterogeneity according to gap, sex, parental age and calendar period. In a supplementary full-cohort-adjusted T-learner analysis for these same diseases, models included sibling gap, sibling sex composition, parental age, calendar period and baseline comorbidity, alongside individual age, follow-up, sex, birth-year and ICD-era covariates. The standardized second-born − first-born risk differences were consistent with first-born excess for autism, food allergy, allergic rhinitis, tics/Tourette syndrome and the other/unspecified PDD code group; with second-born excess for substance abuse; and with a near-null average contrast for ADHD, whose predicted contrasts spanned both directions (Supplementary Figs. 1 and 2 and Supplementary Table 15). These analyses are exploratory and descriptive; they identify where the observed association is strongest but do not convert the birth-order contrast into an individualized clinical prediction model.
Healthcare use sensitivity analysis
To assess whether differential healthcare contact according to birth order could inflate diagnosis rates, we computed the total number of distinct claim days per individual in the matched cohort from the diagnostic claims database. First-borns had a mean of 24.0 distinct claim days compared with 22.9 for second-borns (median 11 versus 10), a clinically modest 4.5% difference. We then reestimated all between-family models in the strict clinical cohort with log-transformed visit count as an additional covariate. Visit-adjusted birth-order ORs were highly concordant with the unadjusted strict-cohort estimates (r = 0.99), indicating that the observed birth-order associations are not driven by differential healthcare use. ORs attenuated modestly toward the null hypothesis after adjustment (for example, the autism OR shifted from 0.799 to 0.880), which is consistent with the visit count acting partly as a mediator rather than as a pure confounder (Supplementary Table 13).
Reproductive stoppage
To assess whether reproductive stoppage, or the tendency of parents to curtail childbearing after a child is diagnosed with a serious condition, could explain the first-born enrichment observed for neurodevelopmental conditions, we conducted family-level logistic regression analyses (Supplementary Table 4). The adjusted model used 10,016,101 complete-case families from the full MarketScan database.
A first-born autism diagnosis was associated with a modest reduction in the probability of having a second child (OR = 0.870, 95% CI 0.856–0.885, P = 2.6 × 10−62), corresponding to approximately a 13% relative reduction. Tics/Tourette syndrome showed a marginal 4% reduction (OR = 0.960, P = 5.5 × 10−4). Critically, ADHD showed negligible stoppage (OR = 1.011, P = 1.7 × 10−4); the other/unspecified PDD code group, the strongest first-born excess finding (primary OR = 0.569), showed a stoppage OR of 1.056 (P = 3.3 × 10−7), indicating that parents of children with diagnoses in this code group were more likely to have a second child, the opposite direction expected under reproductive stoppage.
Sex-stratified analysis
To examine whether birth-order effects differ by sex, we reestimated all between-family models separately in males and females from the strict clinical cohort, dropping sex from the covariate set within each stratum (Supplementary Table 14). Across 310 diseases analyzable in both sexes, male and female \({\mathrm{log}}_{2}(\mathrm{OR})\) estimates were moderately correlated (r = 0.65, P = 6.6 × 10−39), indicating broadly consistent directionality with some sex-specific modulation. For several neurodevelopmental conditions, the first-born excess was more pronounced in males (for example, ADHD: male OR = 0.880, female OR = 0.984, Pdiff = 3.1 × 10−12; developmental delay: male OR = 0.799, female OR = 0.961, Pdiff = 6.0 × 10−3), which is consistent with the known male predominance in these disorders. A similar male-predominant pattern was observed for immune-allergic and dermatological conditions: allergic rhinitis (male OR = 0.859, female OR = 0.933, Pdiff = 6.8 × 10−12), asthma (male OR = 0.945, female OR = 0.996, Pdiff = 2.8 × 10−4), acne (male OR = 0.801, female OR = 0.841, Pdiff = 2.4 × 10−7) and ear infection (male OR = 0.958, female OR = 0.992, Pdiff = 9.8 × 10−4). By contrast, second-born excess conditions, such as substance abuse (male OR = 1.158, female OR = 1.256, Pdiff = 9.3 × 10−5) and migraine (male OR = 1.079, female OR = 1.162, Pdiff = 5.6 × 10−4) showed stronger effects in females.