On-Site Estimation of Peak Ground Acceleration Using the S/P Amplitude Ratio for MEMS-Based Earthquake Early Warning Systems in Iași, Romania
Abstract
1. Introduction
2. Materials and Methods
2.1. Site and Station Characteristics
2.2. Computation of P-Wave and S-Wave PGA
- Subsurface stiffness (Vs30): Soft sediments amplify S-waves more than P-waves [23].
- Frequency dependence: The ratio increases at lower frequencies due to stronger S-wave energy [24].
- Resonance effects: Thick sedimentary basins can yield ratios exceeding 10 [25].
- Wave polarization: Horizontal ratios are typically 1.5–2 times larger than vertical ones [26].
- Each individual ratio ki was transformed into its base-10 logarithm: log10 (ki);
- The arithmetic mean of these logarithmic values was calculated:
- The standard deviation of the logarithmic values was then obtained:
3. Results
Statistical Distribution of the S/P Ratio
4. Discussion
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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| Reference | Region/Network | Parameter | Typical S/P Ratio | No. of Earthquakes Used | Reported Precision |
|---|---|---|---|---|---|
| Picozzi et al. (2018) [13] | Italy (RAN) | PGA | 4–9 | 40 events (10–20/site) | σ(log10) ≈ 0.30 |
| Zollo et al. (2010) [15] | Southern Italy | Spectral amplitude (1–5 Hz) | 4–10 | 64 events (10–30/site) | σ(log10) ≈ 0.30 |
| Tsuno et al. (2024) [16] | Japan (KiK-net) | PGA (0.5–10 Hz) | 4–8 (median ≈ 5.3) | ~240 events (50–200/site) | σ(log10) ≈ 0.25 |
| Festa et al. (2018) [17] | Italy (INGV/RAN) | PGA | 3–7 | 89 events (10–40/site) | σ(log10) ≈ 0.30 |
| Wu (2013) [18] | Taiwan (Palert) | PGA, PGV | 5–9 | ~250 events (30–100/site) | σ(log10) ≈ 0.25–0.30 |
| Adinolfi et al. (2023) [27] | Italy + Japan | PGV | 6–12 | ~300 events (20–150/site) | σ(log10) ≈ 0.25 |
| Nakamura (1988) [28] | Japan (UrEDAS) | RMS energy | 3–8 | Hundreds (50–200/site) | σ(log10) ≈ 0.30–0.35 |
| No | Station Code | ESM IDS | Moment Magnitude Mw | Epicentral Distance [km] | PGA E–W [cm/s2] P-Wave | PGA N–S [cm/s2] P-Wave | PGA E–W [cm/s2] S-Wave | PGA N–S [cm/s2] S-Wave | PGA_P (Geom.) | PGA_S (Geom.) | k = S/P |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | IASR | EMSC-20200131_0000009 | 4.7 | 171.8 | 0.345 | 0.536 | 4.102 | 5.459 | 0.430 | 4.729 | 11.0 |
| 2 | IASR | INT-20221103_0000031 | 5.1 | 204.4 | 0.535 | 0.785 | 1.265 | 1.899 | 0.648 | 1.552 | 2.39 |
| 3 | IASR | INT-20240916_0000172 | 5.2 | 205.3 | 0.403 | 0.630 | 2.774 | 2.398 | 0.504 | 2.579 | 5.12 |
| 4 | IAS | EMSC-20051213_0000038 | 4.8 | 174.6 | 0.466 | 0.387 | 2.161 | 1.593 | 0.425 | 1.855 | 4.37 |
| 5 | IAS | EMSC-20090425_0000080 | 5.2 | 182.2 | 4.584 | 4.368 | 25.361 | 16.473 | 4.476 | 20.450 | 4.57 |
| 6 | IAS | EMSC-20120706_0000080 | 4.1 | 175 | 0.86 | 1.190 | 5.923 | 9.872 | 1.011 | 7.639 | 7.55 |
| 7 | IAS | EMSC-20131006_0000002 | 5.3 | 183.5 | 0.90 | 1.077 | 13.74 | 24.357 | 0.985 | 18.286 | 18.6 |
| 8 | IAS | EMSC-20131015_0000091 | 4.7 | 190.6 | 0.307 | 0.241 | 0.667 | 1.123 | 0.272 | 0.866 | 3.19 |
| 9 | IAS | EMSC-20140224_0000002 | 4.5 | 172.6 | 0.120 | 0.108 | 1.230 | 1.169 | 0.114 | 1.199 | 10.52 |
| 10 | IAS | EMSC-20140326_0000089 | 4.1 | 186.3 | 0.039 | 0.029 | 0.255 | 0.196 | 0.034 | 0.224 | 6.62 |
| 11 | IAS | EMSC-20140329_0000126 | 4.7 | 193.3 | 0.239 | 0.267 | 3.067 | 2.655 | 0.253 | 2.857 | 11.30 |
| 12 | IAS | EMSC-20140910_0000067 | 4.4 | 191.9 | 0.348 | 0.240 | 7.81 | 8.942 | 0.289 | 8.366 | 28.98 |
| 13 | IAS | EMSC-20141122_0000066 | 5.6 | 151.8 | 2.069 | 3.228 | 22.66 | 15.905 | 2.583 | 18.957 | 7.34 |
| 14 | IAS | EMSC-20141207_0000071 | 4.4 | 146.8 | 0.286 | 0.349 | 1.330 | 1.291 | 0.316 | 1.310 | 4.15 |
| 15 | IAS | EMSC-20150124_0000025 | 4.3 | 179 | 0.162 | 0.400 | 10.014 | 6.820 | 0.255 | 8.274 | 32.47 |
| 16 | IAS | EMSC-20150316_0000047 | 4.3 | 194.2 | 0.410 | 0.359 | 1.222 | 1.214 | 0.384 | 1.218 | 3.17 |
| 17 | IAS | EMSC-20150329_0000004 | 4.5 | 188.9 | 0.176 | 0.120 | 0.577 | 0.705 | 0.145 | 0.638 | 4.40 |
| 18 | IAS | EMSC-20160923_0000135 | 5.7 | 175.7 | 7.053 | 7.255 | 70.563 | 42.777 | 7.153 | 54.948 | 7.68 |
| 19 | IAS | EMSC-20161227_0000104 | 5.6 | 179.3 | 7.273 | 7.535 | 30.961 | 26.113 | 7.402 | 28.483 | 3.85 |
| 20 | IAS | EMSC-20170208_0000137 | 4.6 | 212.2 | 0.455 | 0.351 | 2.004 | 2.217 | 0.399 | 2.108 | 5.29 |
| 21 | IAS | EMSC-20170519_0000076 | 4.3 | 171.4 | 0.213 | 0.176 | 0.876 | 1.738 | 0.194 | 1.236 | 6.37 |
| 22 | IAS | EMSC-20170801_0000042 | 4.3 | 201.9 | 0.173 | 0.173 | 1.170 | 0.982 | 0.173 | 1.071 | 6.19 |
| 23 | IAS | EMSC-20170802_0000007 | 4.7 | 197.9 | 0.127 | 0.085 | 2.462 | 3.052 | 0.104 | 2.742 | 26.43 |
| 24 | IAS | EMSC-20180425_0000100 | 4.7 | 198.8 | 0.161 | 0.192 | 0.505 | 0.604 | 0.176 | 0.553 | 3.14 |
| 25 | IAS | EMSC-20181028_0000003 | 5.6 | 197.1 | 0.297 | 0.500 | 1.955 | 1.817 | 0.385 | 1.885 | 4.89 |
| Metric | Value | Description |
|---|---|---|
| Number of events (N) | 25 | Iasi earthquakes |
| k minimum | 2.39 | Minimum S/P ratio |
| k (Q1) | 4.37 | 25th percentile |
| k (median) | 6.19 | Site-specific coefficient |
| k (mean) | 9.18 | Mean S/P ratio |
| k (Q3) | 10.52 | 75th percentile |
| k maximum | 32.47 | Maximum S/P ratio |
| log10(k) mean | 0.839 | Mean logarithmic ratio |
| log10(k) standard deviation | 0.311 | Variability (σlog10) |
| RMSE in log10 space | 0.308 | Prediction error (log-scale) |
| Multiplicative RMSE factor | ×2.03 | Mean multiplicative error |
| Events within factor 2 | 80% | PGA_pred vs. PGA_obs |
| Events within factor 3 | 88% | PGA_pred vs. PGA_obs |
| S–P delay (minimum) | 17.48 s | Earliest possible warning |
| S–P delay (median) | 22.18 s | Typical warning time |
| S–P delay (maximum) | 25.26 s | Maximum warning time |
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Temneanu, M.C.; Branzila, M.C.; Serea, E.; Donciu, C. On-Site Estimation of Peak Ground Acceleration Using the S/P Amplitude Ratio for MEMS-Based Earthquake Early Warning Systems in Iași, Romania. Safety 2026, 12, 41. https://doi.org/10.3390/safety12020041
Temneanu MC, Branzila MC, Serea E, Donciu C. On-Site Estimation of Peak Ground Acceleration Using the S/P Amplitude Ratio for MEMS-Based Earthquake Early Warning Systems in Iași, Romania. Safety. 2026; 12(2):41. https://doi.org/10.3390/safety12020041
Chicago/Turabian StyleTemneanu, Marinel Costel, Marius Ciprian Branzila, Elena Serea, and Codrin Donciu. 2026. "On-Site Estimation of Peak Ground Acceleration Using the S/P Amplitude Ratio for MEMS-Based Earthquake Early Warning Systems in Iași, Romania" Safety 12, no. 2: 41. https://doi.org/10.3390/safety12020041
APA StyleTemneanu, M. C., Branzila, M. C., Serea, E., & Donciu, C. (2026). On-Site Estimation of Peak Ground Acceleration Using the S/P Amplitude Ratio for MEMS-Based Earthquake Early Warning Systems in Iași, Romania. Safety, 12(2), 41. https://doi.org/10.3390/safety12020041

