Benchmark, Homola replication, stress test, detrended analysis, and geographic localisation results including figures. Pre-registration and data availability already committed separately. Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
1.4 KiB
Detrended CR–Seismic Cross-Correlation Analysis
Generated: 2026-04-21T10:31:37Z Study period: 1976-01-01 – 2019-12-31 Bin size: 5 days Surrogates: 10000 IAAFT Lag range: -1000…1000 days
Significance table
| Method | N_eff | r(+15d) | σ_Breth(15d) | Peak r | Peak lag | p_global (IAAFT) | σ_IAAFT |
|---|---|---|---|---|---|---|---|
| Raw | 1169 | 0.3099 | 10.85 | 0.4691 | -525 d | 1.0000 | 0.0σ |
| HP filter | 3027 | 0.0411 | 2.26 | 0.3131 | -525 d | 0.0000 | 3.9σ |
| STL | 1880 | 0.1098 | 4.77 | 0.1554 | -125 d | 0.0000 | 3.9σ |
| Sunspot regression | 1850 | 0.1570 | 6.79 | 0.2657 | -525 d | 0.0000 | 3.9σ |
Interpretation
CAUTION: The following variants retain p_global < 0.05 after detrending: HP filter, STL, Sunspot regression. Further investigation required.
Methods
HP filter (Hodrick-Prescott)
λ = 1.29e+05 calibrated for 5-day bins targeting removal of variations longer than ~2000 days (Ravn & Uhlig 2002 scaling of the standard λ=1600).
STL decomposition
Period = 803 bins ≈ 11.0 years (11-year solar cycle). seasonal_jump=100, trend_jump=100 for computational efficiency. The residual component (x − trend − seasonal) is used.
Sunspot OLS regression
Contemporaneous + [0, 30, 90, 180]-day lagged sunspot numbers from SIDC WDC-SILSO. The fitted solar-proxy component is subtracted from each series.
Figure
results/figs/detrended_xcorr.png