Abstract
A new inventory of 66 small and shallow landslides within six pilot areas was created based on a high-resolution digital elevation model in the canton of Vaud in Switzerland. The geometrical characteristics of the landslides were recorded (i.e. surface area, maximum thickness and length), and the volumes were estimated. These data permitted the development of a model that provides the probability for a landslide to possess a maximum thickness or volume smaller than a given value based on the landslide horizontal surface area. The results are compared with three existing power-law relationships of surface area–volumes. This new approach constitutes a way to improve the quantification of the uncertainty of volume and maximum depth estimations for small and shallow landslides.
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07 February 2020
The published version of this article, unfortunately, contained error. Authors found out that in equation 5, two deltas (Δ) were missing. Given in this article is the correct equation.
References
Chatfield C, Collins AJ (1980) Introduction to multivariate analysis. Chapman & Hall, London and New York, p 246
Chigira M, Duan F, Yagi H, Furuya T (2004) Using an airborne laser scanner for the identification of shallow landslides and susceptibility assessment in an area of ignimbrite overlain by permeable pyroclastics. Landslides 3:203–209. https://doi.org/10.1007/s10346-004-0029-x
Corominas J (1996) The angle of reach as a mobility index for small and large landslides. Can Geotech J 33(2):260–271. https://doi.org/10.1139/t96-005
Cruden D. M., Varnes D. J. (1996) Landslide types and processes, in landslides: investigation and mitigation, In Turner A. K., Schuster R.L. (eds), Special report 247, National Academy of Sciences: Washington D.C, Transp Res Board, 247: 36–75
Dahl M-PJ, Mortensen LE, Veihe A, Jensen NH (2010) A simple qualitative approach for mapping regional landslide susceptibility in the Faroe Islands. Nat Hazards Earth Syst Sci 10:159–170. https://doi.org/10.5194/nhess-10-159-2010
Davies C. D. (1986) Statistics and Data Analysis in Geology. (2nd edition), 646 p
Efron B, Tibshirani RJ (1994) An introduction to the bootstrap, 1st edition. Chapman & Hall/CRC Monographs on Statistics and Applied Probability, p 456
Guzzetti F, Ardizzone F, Cardinali M, Galli M, Reichenbach P, Rossi M (2008) Distribution of landslides in the Upper Tiber River basin, central Italy. Geomorphology 96(1):105–122
Guzzetti F, Ardizzone F, Cardinali M, Rossi M, Valigi D (2009) Landslide volumes and landslide mobilization rates in Umbria, central Italy. Earth Planet Sci Lett 279(3–4):222–229
Jaboyedoff M, Derron M-H (2005) A new method to estimate the infilling of alluvial sediment of glacial valleys using a sloping local base level. Geogr Fis Din Quat 28:37–46
Jaboyedoff M, Chigira M, Arai N, Derron MH, Rudaz B, Tsou CY (2019a) Testing a failure surface prediction and deposit reconstruction method for a landslide cluster that occurred during Typhoon Talas (Japan). Earth Surf Dynam 7(2):439–458. https://doi.org/10.5194/esurf-7-439-2019
Jaboyedoff M, Carrea D, Derron M-H, Oppikofer T, Penna IM, Rudaz B (2019b) A review of methods used to estimate failure surface depths and volumes. Eng Geol [in press].https://doi.org/10.1016/j.enggeo.2020.105478
Jakob M (2005) A size classification for debris flows. Eng Geol 79(3):151–161
Jakob M, Stein D, Ulmi M (2012) Vulnerability of buildings to debris flow impact. Nat Hazards 60(2):241–261
Larsen IJ, Montgomery DR, Korup O (2010) Landslide erosion controlled by hillslope material. Nature Geo:3. https://doi.org/10.1038/NGEO776
Rickli C, Graf F (2009) Effects of forests on shallow landslides – case studies in Switzerland. For Snow Landsc Res 82(1):33–44
Rickli C, Bucher H-U, Böll A, Raetzo H (2004) Untersuchungen zu oberflächennahen Rutschungen des Jahres 2002 im Napfgebiet und in der Region Appenzell [in German] (Analysis of shallow landslides in Napf and Appenzell area from the year 2002). Bull Angew Geol 9(1):37–49
Saporta G. (2006) Probability and statistical data analysis. Technical Edition (in French)
Tseng C-M, Lin C-W, Stark CP, Liu J-K, Fei L-Y, Hsieh Y-C (2013) Application of a multi-temporal, LiDAR-derived, digital terrain model in a landslide-volume estimation. Earth Surf Process Landf 38:1587–1601
von Ruette J, Papritz A, Lehmann P, Rickli C, Or D (2011) Spatial statistical modelling of shallow landslides – validating predictions for different landslide inventories and rainfall events. Geomorphology 133:1–22. https://doi.org/10.1016/j.geomorph.2011.06.010
von Ruette J, Lehmann P, Or D (2016) Linking rainfall-induced landslides with predictions of debris flow runout distances. Landslides 13(5):1097–1107
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This study was financially supported by the Canton de Vaud (Switzerland).
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The original version of this article was revised: The published version of this article, unfortunately, contained error. Authors found out that in equation 5, two deltas (Δ) were missing. Given in this article is the correct equation.
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Meier, C., Jaboyedoff, M., Derron, MH. et al. A method to assess the probability of thickness and volume estimates of small and shallow initial landslide ruptures based on surface area. Landslides 17, 975–982 (2020). https://doi.org/10.1007/s10346-020-01347-0
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DOI: https://doi.org/10.1007/s10346-020-01347-0