Pre-registration
The Chinese one-child policy (1980-2015) produced a measurable long-run drag on per-capita growth in the post-2010 period via accelerated working-age decline and a higher dependency ratio than counterfactual fertility paths would predict. Compared to a synthetic control built from comparable middle-income East/South Asian countries, China should show a significantly steeper decline in working-age share post-2015 and lower per-capita growth decomposable to the demographic channel.
Falsification criterion — what would disprove this
This hypothesis is considered falsified if:
SUPPORTED if China's working-age share post-2015 is at least 3 percentage points below the synthetic counterfactual AND the implied per-capita growth gap exceeds 0.4 percentage points annualised over 2015-2023, with placebo-test rank in bottom 10% of donor-pool placebo runs. REFUTED if working-age gap is smaller than 1pp or per-capita growth gap is wrong-signed/insignificant in placebo terms.
formal test & threshold
test: synth_control_china_demographic_growth_gap threshold: wap_gap >= 3.0 AND growth_gap >= 0.4 AND placebo_rank <= 0.10
Method
- Template
synthetic_control- Sample
- 10 countries · 1970 – 2023
- Evidence type
- causal
Synthetic-control estimator (Abadie-Diamond-Hainmueller); pre-treatment fit window 1960-1979; treatment 1980-2015; post-treatment outcome window 2015-2023 for working-age share and growth decomposition.
Data
| Variable | Source | Transform |
|---|---|---|
real_gdp_per_capita outcome | maddison:mpd2020tier 3 | log |
working_age_share outcome | world_bank_wdi:SP.POP.1564.TO.ZStier 2 | level |
one_child_policy_indicator treatment | constructed:indicator = 1 for CHN years 1980-2015tier 5 | indicator |
gdp_per_capita_initial control | world_bank_wdi:NY.GDP.PCAP.PP.KDtier 2 | log |
total_fertility_rate control | world_bank_wdi:SP.DYN.TFRT.INtier 2 | level |
● ready · ● pending · ● reconstruct-needed
Detailed result card
Result card — demo_china_one_child_long_run_growth
Verdict: PARTIAL — mean_gap=+7.502, |gap|/pre_sd=8, p_perm=0.2 (gap below 0.5×pre_sd or placebo p≥0.10)
Pre-registration
- Claim: The Chinese one-child policy (1980-2015) produced a measurable long-run drag on per-capita growth in the post-2010 period via accelerated working-age decline and a higher dependency ratio than counterfactual fertility paths would predict. Compared to a synthetic control built from comparable middle-income East/South Asian countries, China should show a significantly steeper decline in working-age share post-2015 and lower per-capita growth decomposable to the demographic channel.
- Falsification rule: SUPPORTED if China's working-age share post-2015 is at least 3 percentage points below the synthetic counterfactual AND the implied per-capita growth gap exceeds 0.4 percentage points annualised over 2015-2023, with placebo-test rank in bottom 10% of donor-pool placebo runs. REFUTED if working-age gap is smaller than 1pp or per-capita growth gap is wrong-signed/insignificant in placebo terms.
Synthetic-control estimate
- shape: synth_did
- treated_country: CHN
- event_year: 1980
- n_donors: 9
- donor_weights (top): {'PAK': 0.5585, 'THA': 0.4415, 'IND': 0.0, 'IDN': 0.0, 'VNM': 0.0}
- pre_rmse: 2.6415852025358357
- pre_period_sd: 0.9328921289589436
- mean_post_gap: 7.501819014849064
- end_period_gap: 5.283412523113313
- post_period_years: [1980, 2023]
- placebo_p_value: 0.2
- n_placebos: 9
- method: synthetic-control via NNLS, permutation inference
Variables resolved
world_bank_wdi:SP.POP.1564.TO.ZS→ working_age_share (outcome, n=16965)world_bank_wdi:NY.GDP.PCAP.PP.KD→ gdp_per_capita_initial (controls, n=8325)
Generated by scripts/run_synth_did.py at 2026-04-30T10:51:39+00:00
Strongest opposing argument
Every hypothesis ships with its charitable opposing argument. The framework earns credibility by handling objections at their strongest, not weakest.