Add seven additional robustness checks (3a–3g) and update paper
3a Block-bootstrap surrogates (B=804 bins≈11 yr, n=5000): raw r(+15d)
p=0.022 — marginally significant on undetrended series, driven by
the shared solar-cycle trend not a causal signal.
3b Partial correlation (sunspot-regressed, no filter): r(+15d) drops
from 0.079 to 0.029 (63%) — confirms solar-cycle confounding without
preprocessing circularity.
3c Spectral coherence in solar-cycle band = 0.840 (>0.776 threshold);
kNN mutual information at τ=+15d = 0.000 nats (p=1.000) — no
nonlinear dependence at the claimed lag.
3d Missing-data impact: 0% NaN at station thresholds 2/3/5; r(+15d)
unchanged — missing data is not a confound.
3e Bin-size sensitivity: dominant peak at τ≈-520d for 1/5/27-day bins;
r at +15d scales with bin size (solar-cycle leakage, not physical).
3f GK declustering removes 28.4% of events as aftershocks; r(+15d)
changes by only Δ=0.014 — aftershock clustering not a confound.
3g Per-solar-cycle analysis (cycles 21–24): r(+15d) all positive
(0.018–0.073) but dominant peak lags scattered (-65/-125/+125/-125d)
— phase-drifting solar-cycle artefact, not physical precursor.
Script fixes: vectorised block bootstrap (401×5000 → NumPy matmul),
kNN MI with sorted searchsorted (O(N log N), no inflated values),
coherence nperseg 512→2048 (resolves solar-cycle band), axhspan→axvspan.
Paper: new Methods subsections (block bootstrap, partial correlation,
nonlinear dependence); new Results subsections for each check; updated
Conclusions with 7-item robustness summary; Kraskov2004 and
GardnerKnopoff1974 added to refs.bib; Homola2023 updated to arXiv
preprint 2204.12310; eq:energy duplicate label fixed. PDF: 35 pages.
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-04-24 18:43:08 +00:00
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}
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Fix seismic metric + robustness checks (issues 2a–2d)
2a — Replace physically invalid summed-Mw seismic metric with correct
log10(ΣE) where E=10^(1.5·Mw+4.8) J (Kanamori 1977). Updates
usgs.py (new seismic_energy_per_bin()), scripts 02/07/08.
Impact: r(+15d) raw 0.310→0.081, peak r 0.469→0.139; sinusoidal
BF 27.5→0.75 (constant model now preferred).
2b — HP λ derivation: λ_5 = 1600×(365/5)^4 ≈ 4.54×10^10 (Ravn & Uhlig
2002 rescaling); detrend robustness figure (HP/Butterworth/rolling
mean), all show r(+15d)<0.04.
2c — Neff comparison: Bartlett 2923, Bretherton 769, Monte Carlo 594;
MC 95% CI [-0.002, +0.158] straddles zero → raw r not significant
under most conservative estimate.
2d — Magnitude threshold (M≥4.5/5.0/6.0): r(+15d) range 0.050–0.079
(Δ=0.029 < 0.05), peak stable at τ=−525 d; no aftershock bias.
Paper (main.tex, refs.bib): update all numbers, add Kanamori/Bartlett/
Ravn–Uhlig refs, new sections for 2b–2d with figures and Neff table.
PDF recompiled (27 pages).
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-04-24 12:49:54 +00:00
|
|
|
|
Add seven additional robustness checks (3a–3g) and update paper
3a Block-bootstrap surrogates (B=804 bins≈11 yr, n=5000): raw r(+15d)
p=0.022 — marginally significant on undetrended series, driven by
the shared solar-cycle trend not a causal signal.
3b Partial correlation (sunspot-regressed, no filter): r(+15d) drops
from 0.079 to 0.029 (63%) — confirms solar-cycle confounding without
preprocessing circularity.
3c Spectral coherence in solar-cycle band = 0.840 (>0.776 threshold);
kNN mutual information at τ=+15d = 0.000 nats (p=1.000) — no
nonlinear dependence at the claimed lag.
3d Missing-data impact: 0% NaN at station thresholds 2/3/5; r(+15d)
unchanged — missing data is not a confound.
3e Bin-size sensitivity: dominant peak at τ≈-520d for 1/5/27-day bins;
r at +15d scales with bin size (solar-cycle leakage, not physical).
3f GK declustering removes 28.4% of events as aftershocks; r(+15d)
changes by only Δ=0.014 — aftershock clustering not a confound.
3g Per-solar-cycle analysis (cycles 21–24): r(+15d) all positive
(0.018–0.073) but dominant peak lags scattered (-65/-125/+125/-125d)
— phase-drifting solar-cycle artefact, not physical precursor.
Script fixes: vectorised block bootstrap (401×5000 → NumPy matmul),
kNN MI with sorted searchsorted (O(N log N), no inflated values),
coherence nperseg 512→2048 (resolves solar-cycle band), axhspan→axvspan.
Paper: new Methods subsections (block bootstrap, partial correlation,
nonlinear dependence); new Results subsections for each check; updated
Conclusions with 7-item robustness summary; Kraskov2004 and
GardnerKnopoff1974 added to refs.bib; Homola2023 updated to arXiv
preprint 2204.12310; eq:energy duplicate label fixed. PDF: 35 pages.
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-04-24 18:43:08 +00:00
|
|
|
@article{Kraskov2004,
|
|
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|
|
author = {Kraskov, Alexander and St{\"o}gbauer, Harald and Grassberger, Peter},
|
|
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|
title = {Estimating mutual information},
|
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}
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@article{GardnerKnopoff1974,
|
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|
author = {Gardner, J. K. and Knopoff, Leon},
|
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title = {Is the sequence of earthquakes in southern {California},
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with aftershocks removed, {Poissonian}?},
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doi = {10.1785/BSSA0640051363},
|
|
|
|
|
}
|
|
|
|
|
|
Fix seismic metric + robustness checks (issues 2a–2d)
2a — Replace physically invalid summed-Mw seismic metric with correct
log10(ΣE) where E=10^(1.5·Mw+4.8) J (Kanamori 1977). Updates
usgs.py (new seismic_energy_per_bin()), scripts 02/07/08.
Impact: r(+15d) raw 0.310→0.081, peak r 0.469→0.139; sinusoidal
BF 27.5→0.75 (constant model now preferred).
2b — HP λ derivation: λ_5 = 1600×(365/5)^4 ≈ 4.54×10^10 (Ravn & Uhlig
2002 rescaling); detrend robustness figure (HP/Butterworth/rolling
mean), all show r(+15d)<0.04.
2c — Neff comparison: Bartlett 2923, Bretherton 769, Monte Carlo 594;
MC 95% CI [-0.002, +0.158] straddles zero → raw r not significant
under most conservative estimate.
2d — Magnitude threshold (M≥4.5/5.0/6.0): r(+15d) range 0.050–0.079
(Δ=0.029 < 0.05), peak stable at τ=−525 d; no aftershock bias.
Paper (main.tex, refs.bib): update all numbers, add Kanamori/Bartlett/
Ravn–Uhlig refs, new sections for 2b–2d with figures and Neff table.
PDF recompiled (27 pages).
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-04-24 12:49:54 +00:00
|
|
|
@article{Kanamori1977,
|
|
|
|
|
author = {Kanamori, Hiroo},
|
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|
title = {The energy release in great earthquakes},
|
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|
journal = {Journal of Geophysical Research},
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year = {1977},
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volume = {82},
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number = {20},
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pages = {2981--2987},
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doi = {10.1029/JB082i020p02981},
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}
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|
@article{Bartlett1946,
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author = {Bartlett, M. S.},
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title = {On the theoretical specification and sampling properties of
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autocorrelated time-series},
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journal = {Journal of the Royal Statistical Society (Supplement)},
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year = {1946},
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doi = {10.2307/2983611},
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}
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@article{RahnUhlig2002,
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|
author = {Ravn, Morten O. and Uhlig, Harald},
|
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title = {On adjusting the {Hodrick--Prescott} filter for the frequency
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of observations},
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journal = {Review of Economics and Statistics},
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year = {2002},
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number = {2},
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pages = {371--376},
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doi = {10.1162/003465302317411604},
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}
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