Reproductive-Burden Extension
The baseline ladder controls for demographics, geography, job sorting, schedule, and family status. This extension adds reproductive stage, couple type, O*NET job context, and their interactions to ask: how much of the remaining gap is statistically localized in reproductive-burden channels? All results are descriptive — they show where the residual concentrates, not whether employers or workers drive the pattern.
Extended Specification Ladder
9 Steps · Pooled ACS · 9.7M obsFull Ladder: Baseline + Reproductive Extension
Female coefficient → gap %, sequential OLS on log hourly wages
The main female effect at the Interactions step is not statistically significant (p=0.63); the gap is redistributed to interaction terms. Pooled across all ACS years with O*NET match (N=9.7M).
| Model | Controls Added | Coef | Gap % |
|---|---|---|---|
| Raw gap | female only | −0.165 | 15.2 |
| Demographics | + age, race, education | −0.235 | 20.9 |
| Geography | + state | −0.231 | 20.6 |
| Job sorting | + occupation, industry, class | −0.135 | 12.6 |
| Schedule | + hours, WFH, commute | −0.147 | 13.7 |
| Family | + marital status, children | −0.147 | 13.7 |
| Reproductive stage | + reproductive stage, couple type, birth | −0.114 | 10.8 |
| Job context | + O*NET rigidity, autonomy, etc. | −0.115 | 10.8 |
| Interactions | + female × reproductive × job interactions | −0.006* | 0.6* |
Family → Reproductive stage: Adding reproductive-stage and couple-type controls reduces the gap by ~3 pp (13.7% → 10.8%). Job context → Interactions: Interaction terms absorb the remaining main female effect — the gap does not disappear but gets channeled through specific reproductive × job-context pathways.
Interaction Channels
Where the Gap GoesFemale × Context Interaction Coefficients
Negative = penalty for women in that context; positive = premium
Coefficients from the final interaction step on log hourly wages. Negative values indicate a wage penalty for women in that context; positive values indicate a premium. All interactions are conditional on the full job-context control set. Note: job rigidity is a composite of schedule unpredictability + time pressure − autonomy, so the standalone female × autonomy coefficient captures only the residual gender slope on autonomy after the composite is already controlled.
| Interaction | Coef | p-value |
|---|---|---|
| female × job rigidity | −0.121 | <0.001 |
| female × recent marriage | −0.100 | <0.001 |
| female × child under 6 × job rigidity | −0.046 | <0.001 |
| female × autonomy | −0.007 | 0.013 |
| female × same-sex household | +0.024 | <0.001 |
| female × child under 6 | +0.111 | 0.053 |
| female × recent birth | +0.153 | 0.021 |
Job rigidity is the largest single channel: women in rigid-schedule occupations face a 12.1 pp additional penalty. Having a young child in a rigid job compounds this by another 4.6 pp. The positive coefficients for recent birth and young children reflect survivor selection — women who remain employed through these events tend to be in higher-paying positions.
Order-Invariant Decomposition
Gelbach 2016 · 8 ACS YearsThe ladder above is order-sensitive — the amount each block “explains” depends on when it enters. The Gelbach decomposition resolves this by computing each block’s contribution in an order-invariant way. The identity is exact.
| Block | What it measures | Mean Δ | SD | Share |
|---|---|---|---|---|
| Job sorting | Occupation/industry choices | −0.084 | 0.003 | ~70% |
| Reproductive burden | Parenthood timing, couple type, reproductive stage | −0.036 | 0.003 | ~30% |
| Job context | Schedule rigidity, autonomy (O*NET) | −0.016 | 0.004 | ~13% |
| Schedule | Hours, work from home, commute | +0.017 | 0.010 | −14% |
| Geography | State of residence | −0.002 | 0.000 | ~2% |
| Family | Marital status, children (generic) | +0.002 | 0.003 | ~0% |
Reproductive burden is the second-largest channel. Its log-point contribution is stable across 2015–2023 (mean −0.036, SD 0.003), while its share of explained variation ranges from 27.0% to 36.4% because the total explained amount moves by year. Job sorting remains dominant (~70%), but the reproductive channel is the most important single block beyond sorting. The schedule block works in the opposite direction: controlling for hours reveals a larger female penalty, consistent with women working fewer hours in higher-paying arrangements. Generic family status contributes nothing beyond the reproductive-stage controls.
Household Sensitivity
Linked ACS Household FieldsThe household-linkage update adds partner wages/employment and extra-adult household structure, but these variables do not explain away more of the residual gap in the public ACS release.
| Panel | Controls Added | Baseline Gap | Augmented Gap | Change | N |
|---|---|---|---|---|---|
| Household composition | + other adults present | 10.8% | 11.0% | +0.1 pp | 9.66M |
| Partner resources | + partner employed, partner wage | 15.1% | 17.9% | +2.8 pp | 6.16M |
These household variables work as sensitivity checks, not new explanatory wins.
Extra-adult household structure barely moves the M7 residual, and partner-resource controls
increase the partnered-sample residual because they are partly post-market. The current ACS
extract in this repo does not expose MULTG, so the fitted composition row uses
other_adults_present only. relative_earnings is excluded because it is constructed from
the respondent’s own wage.
Fertility-Risk Gradient
Childless 25–44 · ACS PooledEarnings by Fertility-Risk Quartile (Childless Women 25–44)
Q1 = lowest predicted fertility risk, Q4 = highest
Fertility risk predicted from demographic and geographic covariates among childless women aged 25–44. ~343K observations per quartile.
| Quartile | Hourly Wage | Annual Earnings | Hours/Week |
|---|---|---|---|
| Q1 (lowest risk) | $33.49 | $64,015 | 41.1 |
| Q2 | $28.68 | $51,708 | 39.7 |
| Q3 | $25.61 | $44,786 | 38.4 |
| Q4 (highest risk) | $20.87 | $32,312 | 37.0 |
Among childless women who have not yet had children, those with the highest predicted fertility risk earn $12.62 less per hour than those with the lowest risk. This gradient exists before any children are born and likely reflects both sorting and anticipatory labor-market behavior.
Interpretation note: Age is one of the predictors in the fertility-risk score, so lower-risk quartiles skew older within the 25–44 window. Part of the raw wage gradient therefore reflects age–experience returns rather than fertility risk alone. The older-placebo groups below help bound this confound.
Same-Sex Placebo & Lesbian Married Premium
Negative Control| Group (Childless 25–44) | N | Mean Hourly | Mean Hours |
|---|---|---|---|
| Opposite-sex couple | 1,355,171 | $26.68 | 38.9 |
| Same-sex couple | 18,565 | $45.10 | 40.2 |
Lesbian Married Wage Premium (Married Women Only, N=2.7M)
| Model | Coef | Premium % |
|---|---|---|
| L0 raw | +0.209 | +23.2 |
| L2 + job sorting | +0.101 | +10.6 |
| L4 + reproductive controls | +0.115 | +12.2 |
| L5 + O*NET context | +0.115 | +12.2 |
Lesbian married women earn 12% more than otherwise-similar heterosexual married women even after full controls. This is consistent with same-sex couples facing different household specialization incentives — if the motherhood penalty is partly driven by gendered household division, couples without a male earner may specialize differently.
Older placebo groups (selection caveat)
| Group | Opp-sex mean hourly | Same-sex mean hourly | Recent-birth rate (opp vs same) | N (opp vs same) |
|---|---|---|---|---|
| Childless 45–49 | $27.64 | $36.11 | 0.57% vs 0.52% | 392,273 vs 2,805 |
| Childless 50–54 | $29.16 | $39.10 | 0.11% vs 0.20% | 639,216 vs 3,403 |
Because the same-sex wage premium persists even where recent births are rare, this placebo is suggestive but not a clean fertility-only test.
Same-sex sample sizes are small (2,805 and 3,403); interpret with caution.
Time-Use by Reproductive Stage
ATUS Mechanism EvidencePaid-Work Gap by Reproductive Stage (min/day)
Female − Male daily minutes of paid work
Source: American Time Use Survey, pooled recent waves. Gaps are female minus male average daily minutes. Stages defined by presence and age of own children in household.
| Stage | Paid Work Gap | Childcare Gap | Housework Gap |
|---|---|---|---|
| Childless partnered | −43.3 | +0.6 | +37.5 |
| Childless unpartnered | −41.1 | +1.2 | +17.6 |
| Mother (child 6–17) | −113.6 | +7.7 | +37.9 |
| Mother (child under 6) | −148.8 | +39.6 | +49.1 |
| Overall | −68.0 | +11.4 | +31.9 |
Mothers of children under 6 work 149 fewer paid minutes per day than comparable men — more than double the overall gender gap. The childcare and housework burden increases sharply with young children, consistent with the schedule-rigidity penalty found in the wage regressions.
SIPP Robustness
Cross-Dataset Validation| SIPP Stage | Gap % | N |
|---|---|---|
| Childless unpartnered | −1.2 | 37,707 |
| Mother (child under 6) | −14.0 | 19,654 |
| Childless other partnered | −19.3 | 16,561 |
| Mother (child 6–17) | −26.4 | 36,763 |
SIPP confirms the ACS pattern: the gap is smallest among childless unpartnered workers (−1.2%) and largest among mothers with school-age children (−26.4%). The SIPP reproductive controls are noisier than ACS but directionally consistent.
Interpretation Limits
This extension is descriptive and accounting-based, not causal. It shows how much of the observed gap can be statistically attributed to reproductive-burden channels, but cannot distinguish employer discrimination from self-selection, preference differences, or constrained choices. The fertility-risk gradient and same-sex placebo are consistent with reproductive-burden mechanisms but do not constitute direct proof of discrimination.