Integrating Time-Dependent and Time-Independent Earthquake Recurrence Models for Fault-Based Seismic Hazard Mapping in Indonesia

Rafif Rahmat Ramadhan; Rizki Wulandari; Yudha Styawan; Purwaditya Nugraha; Meta Nisrina Syafitri

doi:10.24036/eksakta/vol27-iss04/742

EKSAKTA: Berkala Ilmiah Bidang MIPA

Open Access

Integrating Time-Dependent and Time-Independent Earthquake Recurrence Models for Fault-Based Seismic Hazard Mapping in Indonesia

Rafif Rahmat Ramadhan ¹

, Rizki Wulandari ¹

, Yudha Styawan ¹

, Purwaditya Nugraha ¹

, Meta Nisrina Syafitri ¹

¹ Department of Geophysical Engineering, Faculty of Industrial Technology, Institut Teknologi Sumatera, Lampung, Indonesia

Published 2026-08-30

Vol. 27 No. 04 (2026) PAGES 771-789

DOI 10.24036/eksakta/vol27-iss04/742

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Abstract

. Indonesia requires precise seismic hazard assessments to mitigate risks from extreme tectonic plate convergence. Currently, standard mapping heavily relies on time-independent Poisson models, which ignore the elapsed time since historical earthquakes and fail to capture cyclic fault behavior. Updating national hazard maps urgently demands time-dependent approaches. Therefore, this research integrates Poisson and Brownian Passage Time (BPT) models across active faults in Indonesia to dynamically evaluate rupture probabilities and enhance probabilistic seismic hazard assessment (PSHA). Earthquake catalogs (1900–2025) and national fault parameters were processed using OpenQuake. Crucially, the BPT approach estimates rupture probability from tectonic stress accumulation, recurrence intervals, elapsed time, and an aperiodicity parameter (=0.5) characterizing cycle variability. Results demonstrate the BPT model's sensitivity in identifying late-cycle faults, projecting >90% rupture probabilities for the Aceh-South and Batee A segments, while confirming significant hazard reductions (3.75%) for early-cycle faults like Palu-Saluki. To maintain comprehensive coverage, the Poisson model generated a broader baseline hazard distribution, yielding peak ground accelerations (PGA) exceeding 1.35 g at a 2% probability of exceedance in 50 years on Northern Sumatera faults. Integrating these complementary models produces cycle-consistent spatial hazard patterns, providing a robust foundation for national infrastructure planning.

References

1

[1] Martin, S.S., Cummins, P.R. and Meltzner, A.J. (2022), Gempa Nusantara: A Database of 7380 Macroseismic Observations for 1200 Historical Earthquakes in Indonesia from 1546 to 1950, Bulletin of the Seismological Society of America, Vol.112, No.6, pp. 2958-2980.

2

[2] Natawidjaja, D.H. and Triyoso, W. (2007), The Sumatran Fault Zone—From Source To Hazard, Journal of Earthquake and Tsunami, Vol.1, No.1, pp. 21-47.

3

[3] Cornell, C.A. (1968), Engineering Seismic Risk Analysis, Bulletin of the Seismological Society of America, Vol.58, No.5, pp. 1583-1606.

4

[4] Ellsworth, W.L., Matthews, M.V., Nadeau, R.M., Nishenko, S.P., Reasenberg, P.A. and Simpson, R.W. (1999), A physically-based earthquake recurrence model for estimation of long-term earthquake probabilities, U.S. Geological Survey Open-File Report 99-522.

5

[5] Reid, H.F. (1910), The Elastic-Rebound Theory of Earthquakes, Bulletin of the Department of Geology, University of California Publications, 6, 413-444.

6

[6] Matthews, M.V., Ellsworth, W.L. and Reasenberg, P.A. (2002), A Brownian model for recurrent earthquakes, Bulletin of the Seismological Society of America, Vol.92, pp. 2233-2250.

7

[7] Zöller, G. (2018), A statistical model for earthquake recurrence based on the assimilation of paleoseismicity, historic seismicity, and instrumental seismicity, Journal of Geophysical Research: Solid Earth, 123(6).

8

[8] Working Group on California Earthquake Probabilities (WGCEP) (2003), Earthquake probabilities in the San Francisco Bay Region: 2002–2031, U.S. Geological Survey Open-File Report 03-214, Chapter 5.

9

[9] Xu, M.-Y., Lu, D.-G., & Zhou, W. (2024), Time-dependent probabilistic seismic hazard analysis for seismic sequences based on hybrid renewal process models, Bulletin of the Seismological Society of America, 114(1), 449–473.

10

[10] Field, E.H., and the 2014 Working Group on California Earthquake Probabilities (2015), Long-term, time-dependent probabilities for the third uniform California earthquake rupture forecast (UCERF3), U.S. Geological Survey Fact Sheet 2015-3009.

11

[11] Field, E.H. (2007), A Summary of Previous Working Groups on California Earthquake Probabilities, Bulletin of the Seismological Society of America, Vol.97, No.4, pp. 1033-1053.

12

[12] Murray, J.R. and Segall, P. (2002), Testing time-predictable earthquake recurrence by direct measurement of strain accumulation and release, Nature.

13

[13] Mazzotti, S. and Adams, J. (2004), Variability of Near-Term Probability for the Next Great Earthquake on the Cascadia Subduction Zone, Bulletin of the Seismological Society of America, Vol.94, No.5, pp. 1954-1959.

14

[14] Pace, B., Peruzza, L., Lavecchia, G. and Boncio, P. (2006), Layered Seismogenic Source Model and Probabilistic Seismic-Hazard Analyses in Central Italy, Bulletin of the Seismological Society of America, Vol.96, No.1, pp. 107-132.

15

[15] Parsons, T. (2004), Recalculated probability of M>7 earthquakes beneath the Sea of Marmara, Turkey, Journal of Geophysical Research: Solid Earth, Vol.109, No.B5.

16

[16] Wulandari, R., Styawan, Y., & Prabowo, S. B. (2026), Integrating Time-Dependent and Time-Independent Earthquake Recurrence Models for Fault-Based Seismic Hazard Assessment in the Lampung Region, Southern Sumatera, Spektra: Jurnal Fisika dan Aplikasinya, 11(1).

17

[17] Wulandari, R., Chan, C.-H., & Wibowo, A. (2023), The 2022 Mw 6.2 Pasaman, Indonesia, earthquake sequence and its implication of seismic hazard in central-west Sumatra, Geoscience Letters, 10, 25.

18

[18] Marliyani, G. I., Klinger, Y., Hady, A. K., Setianto, A., Yao, W., Helmi, H., Kurniawan, T., Kambali, R. A. P., Sugito, Z., Jihad, A., Setiawan, Y., Rusdin, A. A., Nugraha, J., Rohadi, S., Triyono, R., & Karnawati, D. (2026). Active fault map and paleoseismology results from the Aceh Fault in North Sumatra, Indonesia: Unravelling faulting dynamics along the Great Sumatran Fault system. Tectonophysics, 918, 230990.

19

[19] Mouslopoulou, V., Nicol, A., Howell, A., & Griffin, J. D. (2025). Comparison of paleoearthquake elapsed-times and mean interevent-times for a global data set of active faults: Implications for future earthquakes and seismic hazard. Journal of Geophysical Research: Solid Earth, 130, e2024JB030036.

20

[20] Irsyam, M., Widiyantoro, S., Natawidjaja, D. H., Meilano, I., Rudyanto, A., Hidayati, S., Triyoso, W., Hanifa, N. R., Djarwadi, D., & Sunarjito, L. F. (2024), Peta Sumber dan Bahaya Gempa Indonesia Tahun 2024 (PuSGeN 2024), Research and Development Center for Housing and Settlements, Ministry of Public Works.

21

[21] Bi, J., Song, C., & Cao, F. (2024), Declustering characteristics of the North China Plain seismic belt and its effect on probabilistic seismic hazard analysis, Scientific Reports, 14, 22170.

22

[22] Reasenberg, P. (1985), Second-order moment of central California seismicity, 1969–1982, J. Geophys. Res., 90(B7), 5479–5495.

23

[23] Spang, A., Thielmann, M., & Kiss, D. (2024), Rapid ductile strain localization due to thermal runaway, Journal of Geophysical Research: Solid Earth, 129, e2024JB028846. https://doi.org/10.1029/2024JB028846

24

[24] Hanafi, R., Dewi, I. K., & Ngatijo, N. (2024), Pemetaan Magnitude of Completeness (Mc) untuk Gempa di Wilayah Bengkulu, JGE (Jurnal Geofisika Eksplorasi), 10(2), 121–138.

25

[25] Field, E.H., Hayes, G.P., Baltay, A.S., Barnhart, W.D., Blanpied, M.L., Davis, L.A., Earle, P.S., Franks, J.M., Given, D.D., Gold, R.D., Goulet, C.A., Guy, M.M., Hardebeck, J.L., Luco, N., Pollitz, F., Ringler, A.T., Scharer, K.M., Sobieszczyk, S., Thomas, V.I., and Wolfe, C.J. (2024), U.S. Geological Survey Earthquake Hazards Program decadal science strategy, 2024–33, U.S. Geological Survey Circular 1544, 55 p.

26

[26] Nishenko, S. P., & Buland, R. (1987), A generic recurrence interval distribution for earthquake forecasting, Bulletin of the Seismological Society of America, 77(4), 1382–1399.

27

[27] Taruna, R.M., Rudyono, A., & Rohadi, S. (2016), Penentuan Ground Motion Prediction Equations (GMPEs) Dengan Metode Euclidean dan Likelihood Untuk Wilayah Jawa Timur, Jurnal Meteorologi dan Geofisika, Vol.17, No.3, pp. 177-189.

28

[28] Pagani, M., Monelli, D., Weatherill, G., Danciu, L., Crowley, H., Silva, V., Henshaw, P., Butler, L., Nastasi, M., Panzeri, L., Simionato, M., & Vigano, D. (2014), OpenQuake Engine: An Open Hazard (and Risk) Software for the Global Earthquake Model, Seismological Research Letters, 85(3), 692–702.

29

[29] Kementerian Pekerjaan Umum dan Perumahan Rakyat (2019), SNI 1726:2019 tentang Pedoman perencanaan ketahanan gempa untuk struktur bangunan gedung dan non gedung.

30

[30] Tawakal, M. I. (2022), Identifikasi Bahaya Gempa Bumi Kalimantan Timur Menggunakan Metode Probabilistic Seismic Hazard Analysis (PSHA) untuk Probabilitas Terlampaui 10% dalam 50 Tahun (500 Tahun), Buletin Meteorologi, Klimatologi Dan Geofisika, 2(2), 18–25

31

[31] Wicaksana, A., & Rosyidah, A. (2021), Pembandingan Perancangan Bangunan Tahan Gempa Menggunakan SNI 1726:2012 Dan SNI 1726:2019. Jurnal Rekayasa Sipil, 15(1).

32

[32] Cipta, A., et al. (2021). High slip rate and localized strain accumulation along the Palu-Koro active fault in central Sulawesi, Indonesia. Tectonophysics, 815, 228994. (Menggantikan Bellier 2001)