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Estimating the Empirical Probability of Submarine Landslide Occurrence

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Submarine Mass Movements and Their Consequences

Part of the book series: Advances in Natural and Technological Hazards Research ((NTHR,volume 28))

Abstract

The empirical probability for the occurrence of submarine landslides at a given location can be estimated from age dates of past landslides. In this study, tools developed to estimate earthquake probability from paleoseismic horizons are adapted to estimate submarine landslide probability. In both types of estimates, one has to account for the uncertainty associated with age-dating individual events as well as the open time intervals before and after the observed sequence of landslides. For observed sequences of submarine landslides, we typically only have the age date of the youngest event and possibly of a seismic horizon that lies below the oldest event in a landslide sequence. We use an empirical Bayes analysis based on the Poisson-Gamma conjugate prior model specifically applied to the landslide probability problem. This model assumes that landslide events as imaged in geophysical data are independent and occur in time according to a Poisson distribution characterized by a rate parameter λ. With this method, we are able to estimate the most likely value of λ and, importantly, the range of uncertainty in this estimate. Examples considered include landslide sequences observed in the Santa Barbara Channel, California, and in Port Valdez, Alaska. We confirm that given the uncertainties of age dating that landslide complexes can be treated as single events by performing statistical test of age dates representing the main failure episode of the Holocene Storegga landslide complex.

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References

  • Borrero JC, Dolan JF and Synolakis CE (2001) Tsunamis within the eastern Santa Barbara Channel. Geophys Res Let 28: 643–647.

    Article  Google Scholar 

  • Bronk Ramsey C (1998) Probability and dating. Radiocarbon 40: 461–474.

    Google Scholar 

  • Campbell KW (1982) Bayesian analysis of extreme earthquake occurrences. Part I. Probabilistic hazard model. Bull Seismol Soc Am 72: 1689–1705.

    Google Scholar 

  • Carver G and Plafker G (2008) Paleoseismicity and neotectonics of the Aleutian subduction zone — an overview. In: Freymueller JT, Haeussler PJ, Wesson RL and Ekström G (eds) Active Tectonics and Seismic Potential of Alaska. Geophysl Mono Ser 179. Am Geophys Union, Washington, D.C., pp. 350.

    Google Scholar 

  • Chaytor JD ten Brink US Solow AR and Andrews BD (2009), Size distribution of submarine landslides along the U.S. Atlantic Margin, Mar Geol 16–27.

    Google Scholar 

  • Fisher MA, Normark WR, Greene HG, Lee HJ and Sliter RW (2005) Geology and tsunamigenic potential of submarine landslides in Santa Barbara Channel, southern California. Mar Geol 224: 1–22.

    Article  Google Scholar 

  • Geist, E.L., and T. Parsons (2009), Assessment of source probabilities for potential tsunamis affecting the U.S. Atlantic Coast, Mar Geol 264, 98–108.

    Article  Google Scholar 

  • Geist EL, Parsons T, ten Brink US and Lee HJ (2009) Tsunami Probability. In: Bernard EN and. Robinson AR (eds), The Sea 15: 93–135. Harvard Univ Press, Cambridge, Mass.

    Google Scholar 

  • Haflidason H, Lien R, Sejrup HP, Forsberg CF and Bryn P (2005) The dating and morphometry of the Storegga Slide. Mar and Petrol Geol 22: 123–136.

    Article  Google Scholar 

  • Hutton EWH and Syvitski JPM (2004) Advances in the numerical modeling of sediment failure during the development of a continental margin. Mar Geol 203: 367–380.

    Article  Google Scholar 

  • Lee, H. J. (2009), Timing of occurrence of large submarine landslides on the Atlantic ocean margin, Mar Geol 53–64.

    Google Scholar 

  • Locat, J., H. Lee, U. ten Brink, D. Twichell, E.L. Geist, and M. Sansoucy (2009), Geomorphology, stability and mobility of the Currituck slide, Mar Geol 28–40.

    Google Scholar 

  • Mortgat CP and Shah HC (1979) A Bayesian model for seismic hazard mapping. Bull Seismol Soc Am 69: 1237–1251.

    Google Scholar 

  • Normark WR, McGann M and Sliter RW (2004) Age of Palos Verdes submarine debris avalanche, southern California. Mar Geol 203: 247–259.

    Article  Google Scholar 

  • Ogata Y (1999) Estimating the hazard of rupture using uncertain occurrence times of paleoearth-quakes. J Geophys Res 104: 17 995–18 014.

    Article  Google Scholar 

  • Parsons T (2008) Monte Carlo method for determining earthquake recurrence parameters from short paleoseismic catalogs: Example calculations for California. J Geophys Res 113:doi:10.1029/2007J–B004998.

    Google Scholar 

  • Parsons T and Geist EL (2009) Tsunami probability in the Caribbean region. Pure and Applied Geophysics 165: 2089–2116.

    Article  Google Scholar 

  • Ryan HF, Lee HJ, Haeussler PJ, Alexander CR and Kayen RE (this volume) Historic and paleo-submarine landslide deposits imaged beneath Port Valdez, Alaska: implications for tsunami generation in a glacial fiord. In: Mosher DC, Shipp C, Moscardelli L, Baxter C, Chaytor J and Lee H (eds) Submarine Mass Movements and Their Consequences IV, Advances in Natural and Technological Hazards Research. Springer, New York.

    Google Scholar 

  • Savage JC (1994) Empirical earthquake probabilities from observed recurrence intervals. Bull Seismol Soc Am 84: 219–221.

    Google Scholar 

  • Shapiro SS and Wilk MB (1965) An analysis of variance test for normality (complete samples). Biometrika 52: 591–611.

    Google Scholar 

  • Steier P and Rom W (2000) The use of Bayesian statistics for 14C dates of chronologically ordered samples: A critical analysis. Radiocarbon 42: 183–198.

    Google Scholar 

  • Stephens MA 1974 EDF statistics for goodness of fit and some comparisons. J Am Stat Assoc 69: 730–737.

    Article  Google Scholar 

  • Stuiver M and Braziunas TF (1992) Modeling atmospheric 14C influences and 14C ages of marine samples to 10,000 BP. Radiocarbon 35: 137–189.

    Google Scholar 

  • ten Brink US, Geist EL and Andrews BD (2006) Size distribution of submarine landslides and its implication to tsunami hazard in Puerto Rico. Geophys Res Lett 33: doi:10.1029/2006GL026125.

    Google Scholar 

  • ten Brink, US, Lee HJ, Geist EL, and Twichell D (2009), Assessment of tsunami hazard to the U.S. Atlantic Coast using relationships between submarine landslides and earthquakes, Mar Geol 65–73.

    Google Scholar 

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Acknowledgments

The authors would like to thank Haflidi Haflidason and Uri ten Brink for their reviews of the manuscript and Holly Ryan and Mike Fisher for sharing the results of their geophysical analysis and for their comments.

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Geist, E.L., Parsons, T. (2010). Estimating the Empirical Probability of Submarine Landslide Occurrence. In: Mosher, D.C., et al. Submarine Mass Movements and Their Consequences. Advances in Natural and Technological Hazards Research, vol 28. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3071-9_31

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