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

Full 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 gapfemale only−0.16515.2
Demographics+ age, race, education−0.23520.9
Geography+ state−0.23120.6
Job sorting+ occupation, industry, class−0.13512.6
Schedule+ hours, WFH, commute−0.14713.7
Family+ marital status, children−0.14713.7
Reproductive stage+ reproductive stage, couple type, birth−0.11410.8
Job context+ O*NET rigidity, autonomy, etc.−0.11510.8
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

Female × 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−0.0070.013
female × same-sex household+0.024<0.001
female × child under 6+0.1110.053
female × recent birth+0.1530.021

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

The 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 sortingOccupation/industry choices−0.0840.003~70%
Reproductive burdenParenthood timing, couple type, reproductive stage−0.0360.003~30%
Job contextSchedule rigidity, autonomy (O*NET)−0.0160.004~13%
ScheduleHours, work from home, commute+0.0170.010−14%
GeographyState of residence−0.0020.000~2%
FamilyMarital status, children (generic)+0.0020.003~0%

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

The 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

Earnings 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$64,01541.1
Q2$28.68$51,70839.7
Q3$25.61$44,78638.4
Q4 (highest risk)$20.87$32,31237.0

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

Group (Childless 25–44) N Mean Hourly Mean Hours
Opposite-sex couple1,355,171$26.6838.9
Same-sex couple18,565$45.1040.2

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

Paid-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

SIPP Stage Gap % N
Childless unpartnered−1.237,707
Mother (child under 6)−14.019,654
Childless other partnered−19.316,561
Mother (child 6–17)−26.436,763

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.