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A statistical model for vesuvius and its volcanological implications

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Abstract

The last 300 years of Vesuvius history are reconstructed as a chronological succession of 4 phenomenological states: i) repose, ii) persistent activity, iii) intermediate eruption and iv) final eruption. It turns out that the times of permanence in each state are distributed according to the same exponential law.

Vesuvius activity is then described by a Markov chain of these 4 states, with transition probabilities determined from the previous phenomenological analysis. The model reproduces the Vesuvius activity between 1694 and 1872 and possibly also in the 1872–1944 period. It turns out that, at least between 1694 and 1872, the volcano was behaving like a quasistationary system with 4 equilibrium states, perturbed by a stochastic noise responsible for occasional transitions from an equilibrium state to another.

Major physical or structural changes of the volcanic system around 1872 and possibly in the whole subsequent period, are clearly shown by the statistical analysis.

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References

  • Alfano, G. B., 1924,Le eruzioni del Vesuvio tra il 79 ed il 1631. Ed. Valle, Pompei,

  • ----- andFriedlander, I., 1929,La storia del Vesuvio illustrata da documenti coevi. Verlag Dr. K. Hohn, Ulm.

  • Cortini, M. andHermes, O.,Sr Isotopic Evidence for a Multisource Origin of the Potassic Magmas in the Neapolitan Area (Southern-Italy). (Paper submitted to Contrib. to Min. & Petrol.).

  • Covelli, N., 1828,Cenno sullo stato del Vesuvio dal 1822 in poi. Il Pantano, Napoli, 1828, p. 19–27 and p. 145–154.

  • Delibrias, G., Di Paola, G. M., Rosi, M. andSantacroce, R., 1979,La storia eruttiva del complesso vulcanico Somma-Vesuvio ricostruita dalle successioni piroclastiche del Monte Somma. Rend. Soc. It. Min. Petrogr.,XXXV-1, p. 411–438.

    Google Scholar 

  • Della Torre, G. M., 1755,Storia e fenomeni del Vesuvio. Raimondi, Napoli, 120 + 39 pp.

  • -----, 1761,Supplemento alla storia de Vesuvio ove si descrive l’incendio del 1760. Napoli, Raimondi, 15 pp.

  • Hamilton, W., 1795,An Account of the Late Eruption of Mount Vesuvius in a Letter to Sir Joseph Banks. Phil. Trans. R. Soc. London, p. 73–116.

  • Imbò, G., 1949,L’attività eruttiva vesuviana e relative osservazioni nel corso dell’intervallo eruttivo 1906–1944 ed in particolare il parossismo del marzo 1944. Annali Oss. Vesuviano, Serie V, Vol. unico, 185 pp., Napoli.

  • Matteucci, R. V., 1891,Sulla fase eruttiva del Vesuvio cominciata nel giugno 1891. Atti R. Accad. Sc. Fis. Mat., Serie II,5-2, Napoli, 594 pp.

  • Mecatti, G. M., 1754,Discorsi storico-filosofici sopra il Vesuvio. De Simone, Napoli,

    Google Scholar 

  • -----, 1759,Narrazione istorica di quel che è occorso al Vesuvio nel 1754-55-56-57-58-59. De Simone, Napoli, 270 pp.

  • Mercalli, G., 1906,La grande eruzione vesuviana cominciata il 4 aprile 1906. Mem. Pontificia Accad. Rom. Naz. Lincei,XXIV, p. 307–338.

    Google Scholar 

  • Monticelli, T., 1841,Alcun escursioni fatte al Vesuvio dal 1823 al 1829. Napoli.

  • ----- andCovelli, N., 1823,Storia dei fenomeni del Vesuvio avvenuti negli anni 1821, 1822 e parte del 1823. Giorn. Arcad., Roma, p. 327–337.

  • Palmieri, L., 1859,Cronache del Vesuvio dal 1855 al 1859. Ann. R. Oss. Vesuviano, Anno I, p. 46–78.

  • -----, 1862,Cronache del Vesuvio dal 1852 al 1862. Ann. R. Oss. Vesuviano, Anno II, p. 1–19.

  • -----, 1865,Cronache del Vesuvio dal 1862 al 1865. Ann. R. Oss. Vesuviano, Anno II, p. 71–73.

  • -----, 1870,Ultime fasi della conflagrazione vesuviana del 1868. Ann. R. Oss. Vesuviano, Anno IV, p. 25–38.

  • -----, 1874,L’incendio vesuviano del 26 aprile 1872. Ann. R. Oss. Vesuviano, Anno I, p. 5–103.

  • —————, 1895,Il Vesuvio dal 1875 al 1895. Atti R. Accad. Sc. Fis. Mat., Serie II, VIII-5, p. 1–8, Napoli.

    Google Scholar 

  • Scacchi, A., 1850,Relazione dell’incendio accaduto al Vesuvio nel mese di febbraio 1850, seguita dai giornalieri cambiamenti osservati in questo vulcano dal 1840 sin’ora. Rend. R. Acc. Sc. Fis. Mat.,IX, p. 13–48, Napoli.

    Google Scholar 

  • Serao, F., 1738,Istoria dell’incendio del Vesuvio accaduto nel mese di maggio dell’anno 1737, scritta per l’Accademia delle Scienze. De Bonis, Napoli, 122 pp.

  • Sorrentino, I., 1734,Istoria del Monte Vesuvio. Severini, Napoli, 224 pp.

  • Ventsel, A. D. andFriedlin, M. I., 1970,On Small Random Perturbations of Dynamical Systems. Russian Math. Surveys,25, p. 1–55.

    Article  Google Scholar 

  • Wickman, F. E., 1966a,Repose-Period Patterns of Volcanoes, I: Volcanic Eruptions Regarded as Random Phenomena. Arkiv für Mineralogi och Geologi,4–4, p. 291–302.

    Google Scholar 

  • —————, 1966b,Repose-Period Patterns of Volcanoes, II: Eruption Histories of Some East Indian Volcanoes. Ibidem,4–4, p. 303–318.

    Google Scholar 

  • —————, 1966c,Repose-Period Patterns of Volcanoes, III: Eruption Histories of Some Japanese Volcanoes. Ibidem,4–4, p. 319–336.

    Google Scholar 

  • —————, 1966d,Repose-Period Patterns of Volcanoes, IV: Eruption Histories of Some Selected Volcanoes. Ibidem,4–4, p. 337–352.

    Google Scholar 

  • Wickman, F. E., 1966e,Repose-Period Patterns of Volcanoes, V: General Discussion and a Tentative Stochastic Model. Ibidem,4–5, p. 353–366.

    Google Scholar 

  • -----, 1976,Markov Models of Repose-Period Patterns of Volcanoes. In:Random Processes in Geology. Springer-Verlag, 135 pp.

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Paper partially financed by C.N.R., Progetto Finalizzato Geodinamica.

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Carta, S., Figari, R., Sartoris, G. et al. A statistical model for vesuvius and its volcanological implications. Bull Volcanol 44, 129–151 (1981). https://doi.org/10.1007/BF02597700

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