IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v650y2024ics0378437124004928.html
   My bibliography  Save this article

Statistics of earthquakes based on the extended LGGR model

Author

Listed:
  • Gergely, Attila
  • Biró, Tamás Sándor
  • Járai-Szabó, Ferenc
  • Néda, Zoltán

Abstract

Earthquake and avalanche statistics show a magnitude distribution (Gutenberg-Richter) and a distribution of consecutive times (Omori). In order to describe such phenomena within a statistical physics approach we generalize our Local Growth Global Reset (LGGR) model for resets to arbitrary lower states of the unobserved background variable. This variable is the accumulated stress for quakes, and the quakes themselves are the jumps between two such values. In a given class of transition rates between states with different stress values an analytic determination of the stationary PDF is possible. We utilize these findings to real-world data from various earthquakes.

Suggested Citation

  • Gergely, Attila & Biró, Tamás Sándor & Járai-Szabó, Ferenc & Néda, Zoltán, 2024. "Statistics of earthquakes based on the extended LGGR model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 650(C).
    • Handle: RePEc:eee:phsmap:v:650:y:2024:i:c:s0378437124004928
    DOI: 10.1016/j.physa.2024.129983
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437124004928
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2024.129983?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. T. Huillet & H.-F. Raynaud, 1999. "Rare events in a log-Weibull scenario - Application to earthquake magnitude data," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 12(3), pages 457-469, December.
    2. Zoltan Neda & Istvan Gere & Tamas S. Biro & Geza Toth & Noemi Derzsy, 2019. "Scaling in Income Inequalities and its Dynamical Origin," Papers 1911.02449, arXiv.org, revised Mar 2020.
    3. Istvan Gere & Szabolcs Kelemen & Geza Toth & Tamas Biro & Zoltan Neda, 2021. "Wealth distribution in modern societies: collected data and a master equation approach," Papers 2104.04134, arXiv.org.
    4. Biró, Tamás S. & Telcs, András & Józsa, Máté & Néda, Zoltán, 2023. "Gintropic scaling of scientometric indexes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 618(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ilda Inácio & José Velhinho, 2022. "Comments on Mathematical Aspects of the Biró–Néda Model," Mathematics, MDPI, vol. 10(4), pages 1-10, February.
    2. Gere, István & Kelemen, Szabolcs & Néda, Zoltán & Biró, Tamás S., 2024. "Jackpot statistics, a physicist’s approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    3. Indranil Ghosh & Saralees Nadarajah, 2017. "On some further properties and application of Weibull-R family of distributions," Papers 1711.00171, arXiv.org.
    4. Indranil Ghosh & Saralees Nadarajah, 2018. "On Some Further Properties and Application of Weibull-R Family of Distributions," Annals of Data Science, Springer, vol. 5(3), pages 387-399, September.
    5. Istvan Gere & Szabolcs Kelemen & Geza Toth & Tamas Biro & Zoltan Neda, 2021. "Wealth distribution in modern societies: collected data and a master equation approach," Papers 2104.04134, arXiv.org.
    6. Gere, István & Kelemen, Szabolcs & Tóth, Géza & Biró, Tamás S. & Néda, Zoltán, 2021. "Wealth distribution in modern societies: Collected data and a master equation approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    7. Walter Salazar, 2021. "Interoccurrence times and seismic hazard for upper-crustal volcanic chain earthquakes in El Salvador: are they Poissonian distributed?," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 107(2), pages 1443-1465, June.
    8. Muhammad Ijaz & Syed Muhammad Asim & Alamgir & Muhammad Farooq & Sajjad Ahmad Khan & Sadaf Manzoor, 2020. "A Gull Alpha Power Weibull distribution with applications to real and simulated data," PLOS ONE, Public Library of Science, vol. 15(6), pages 1-19, June.
    9. Hasumi, Tomohiro & Akimoto, Takuma & Aizawa, Yoji, 2009. "The Weibull–log Weibull transition of the interoccurrence time statistics in the two-dimensional Burridge–Knopoff Earthquake model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 483-490.
    10. Eliazar, Iddo, 2024. "From Zipf to Price and beyond," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 647(C).
    11. Bertoli-Barsotti, Lucio & Gagolewski, Marek & Siudem, Grzegorz & Żogała-Siudem, Barbara, 2024. "Gini-stable Lorenz curves and their relation to the generalised Pareto distribution," Journal of Informetrics, Elsevier, vol. 18(2).
    12. Pisarenko, V.F. & Rodkin, M.V., 2015. "The maximum earthquake in future T years: Checking by a real catalog," Chaos, Solitons & Fractals, Elsevier, vol. 74(C), pages 89-98.
    13. Tam'as S. Bir'o & Zolt'an N'eda, 2020. "Gintropy: Gini index based generalization of Entropy," Papers 2007.04829, arXiv.org.
    14. Ghosh, Asim & Chakrabarti, Bikas K., 2023. "Scaling and kinetic exchange like behavior of Hirsch index and total citation distributions: Scopus-CiteScore data analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    15. Hasumi, Tomohiro & Akimoto, Takuma & Aizawa, Yoji, 2009. "The Weibull–log Weibull distribution for interoccurrence times of earthquakes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 491-498.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:650:y:2024:i:c:s0378437124004928. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.