Skip to main content

Advertisement

Log in

Spatial pattern of landslides in Swiss Rhone Valley

  • Original Paper
  • Published:
Natural Hazards Aims and scope Submit manuscript

Abstract

The present study analyses the spatial pattern of quaternary gravitational slope deformations (GSD) and historical/present-day instabilities (HPI) inventoried in the Swiss Rhone Valley. The main objective is to test if these events are clustered (spatial attraction) or randomly distributed (spatial independency). Moreover, analogies with the cluster behaviour of earthquakes inventoried in the same area were examined. The Ripley’s K-function was applied to measure and test for randomness. This indicator allows describing the spatial pattern of a point process at increasing distance values. To account for the non-constant intensity of the geological phenomena, a modification of the K-function for inhomogeneous point processes was adopted. The specific goal is to explore the spatial attraction (i.e. cluster behaviour) among landslide events and between gravitational slope deformations and earthquakes. To discover if the two classes of instabilities (GSD and HPI) are spatially independently distributed, the cross K-function was computed. The results show that all the geological events under study are spatially clustered at a well-defined distance range. GSD and HPI show a similar pattern distribution with clusters in the range 0.75–9 km. The cross K-function reveals an attraction between the two classes of instabilities in the range 0–4 km confirming that HPI are more prone to occur within large-scale slope deformations. The K-function computed for GSD and earthquakes indicates that both present a cluster tendency in the range 0–10 km, suggesting that earthquakes could represent a potential predisposing factor which could influence the GSD distribution.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Abele G (1974) Bergstürze in den Alpen: Wissenschaftliche Alpenvereinshefte. Münche Ausschüsse des Deutschen und Österreichischen Alpenvereins 25:231

    Google Scholar 

  • Ansari A, Noorzad A, Zafarani H (2009) Clustering analysis of the seismic catalog of Iran. Comput Geosci 35(3):475–486

    Article  Google Scholar 

  • Baddeley A, Turner R (2005) Spatstat: an R package for analyzing spatial point patterns. J Stat Softw 12(6):1–42

    Google Scholar 

  • Baddeley A, Moller J, Waagepetersen R (2000) Non- and semiparametric estimation of interaction in inhomogeneous point patterns. Stat Neerl 54:329–350

    Article  Google Scholar 

  • Bai SB, Wang J, Lü G, Zhou P, Hou SS, Xu SN (2010) GIS-based logistic regression for landslide susceptibility mapping of the Zhongxian segment in the three Gorges area, China. Geomorphology 115:23–31

    Article  Google Scholar 

  • Bertolini G, Guida M, Pizziolo M (2005) Landslides in Emilia-Romagna region (Italy): strategies for hazard assessment and risk management. Landslides 2(4):302–312. doi:10.1007/s10346-005-0020-1

    Article  Google Scholar 

  • Besag J (1977) Discussion of Dr Ripley’s paper. J Roy Stat Soc B 39:193–195

    Google Scholar 

  • Bonnard C, Forlati F, Scavia C (2004) Identification and mitigation of large landslide risks in Europe: advances in risk assessment. Balkema, Amsterdam, p 317

    Google Scholar 

  • Carrara A, Cardinali M, Detti R, Guzzetti F, Pasqui V, Reichenbach P (1991) GIS techniques and statistical models in evaluating landslide hazard. Earth Surf Process Landf 16:427–445

    Article  Google Scholar 

  • Conoscenti C, Di Maggio C, Rotigliano E (2008) GIS analysis to assess landslide susceptibility in a fluvial basin of NW Sicily (Italy). Geomorphology 94(3–4):325–339

    Article  Google Scholar 

  • Cruden DM, Varnes DJ (1996) Landslide types and processes. In: Turner AK, Shuster RL (eds) Landslides: investigation and mitigation, Transportation Research Board, Special Report 247, pp 36–75

  • Diggle PJ (2003) Statistical analyses of spatial point patterns, 2nd edn. Arnold, London

    Google Scholar 

  • Dixon PM (2002) Ripley’s K function. In: El-Shaarawi AH, Piergorsch WW (eds) The encyclopedia of environmetrics. Wiley, New York, pp 1796–1803

    Google Scholar 

  • Erener A, Düzgün HSB (2012) Landslide susceptibility assessment: what are the effects of mapping unit and mapping method? Environmental Earth Sciences 66(3):859–877

    Article  Google Scholar 

  • Faeh D, Giardini D, Bay F, Bernardi F, Braunmiller J, Deichmann N, Furrer M, Gantner L, Gisler M, Isenegger D, Jimenez MJ, Kästli P, Koglin R, Masciadri V, Rutz M, Scheidegger C, Schibler R, Schorlemmer D, Schwarz-Zanetti G, Steimen S, Sellami S, Wiemer S, Wössner J (2003) Earthquake catalogue of Switzerland (ECOS) and the related macroseismic database. Eclog Geol Helv Swiss J Geosci 96(2):219–236

    Google Scholar 

  • Faenza L, Pierdominici S (2007) Statistical occurrence analysis and spatio-temporal distribution of earthquakes in the Apennines (Italy). Tectonophysics 439(1–4):13–31

    Article  Google Scholar 

  • Fischer T, Horálek J (2003) Space-time distribution of earthquake swarms in the principal focal zone of the NW Bohemia/Vogtland seismoactive region: period 1985–2001. J Geodyn 35(1–2):125–144

    Article  Google Scholar 

  • Guzzetti F, Carrara A, Cardinaly M, Reichenbach P (1999) Landslide hazard evaluation: a review if current techniques and their application in a multi-scale study, Central Italy. Geomorphology 31:181–216

    Article  Google Scholar 

  • Hering AS, Bell CL, Genton MG (2009) Modeling spatio-temporal wildfire ignition point patterns. Environ ad Ecol Stat 16:225–250

    Article  Google Scholar 

  • Hermanns RL, Strecker MR (1999) Structural and lithological controls on large Quaternary rock avalanches (sturzstroms) in arid northwestern Argentina. Geol Soc Am Bull 111(6):934–948

    Article  Google Scholar 

  • Hinderer M (2001) Late quaternary denudation of the Alps, valley and lake fillings and modern river loads. Geodin Acta 14:231–263

    Article  Google Scholar 

  • Hutchinson JN (1988) General report: morphological and geotechnical parameters of landslides in relation to geology and hydrogeology. In: Bonnard C (ed) Proceedings of the fifth international symposium on landslides. Balkema, Rotterdam, pp 3–35

  • Jarman D (2006) Large rock slope failures in the Highlands of Scotland: characterisation, causes and spatial distribution. Eng Geol 83:161–182

    Article  Google Scholar 

  • Keefer DK (1984) Landslides caused by earthquakes. Geol Soc Am Bull 95:406–421

    Article  Google Scholar 

  • Korup O (2005) Distribution of landslides in southwest New Zealand. Landslides 2(1):43–51

    Article  Google Scholar 

  • Lee S, Ryu J-H, Kim I-S (2007) Landslide susceptibility analysis and its verification using likelihood ratio, logistic regression, and artificial neural network models: case study of Youngin, Korea. Landslides 4:327–338

    Article  Google Scholar 

  • Lotwick HW, Silverman BW (1982) Methods for analysing spatial processes of several types of points. J R Statist Soc Ser B 44:406–413

    Google Scholar 

  • Maurer HR, Burkhard M, Deichmann N, Green AG (1997) Active tectonism in the central Alps: contrasting stress regimes north and south of Rhone Valley. Terra Nova 9:91–94

    Article  Google Scholar 

  • Mosar J, Stampfli GM, Girod F (1996) Western Prealpes Medianes Romandes; timing and structure; a review. Eclogae Geol Helv 89:389–425

    Google Scholar 

  • Mukhopadhyay B, Dasgupta S, Dasgupta S (2004) Clustering of earthquake events in the Himalaya—its relevance to regional tectonic set-up. Gondwana Res 7(4):1242–1247

    Article  Google Scholar 

  • Nandi A, Shakoor AA (2010) GIS-based landslide susceptibility evaluation using bivariate and multivariate statistical analyses. Eng Geol 110:11–20

    Article  Google Scholar 

  • Oh HJ, Lee S (2011) Landslide susceptibility mapping on Panaon Island, Philippines using a geographic information system. Environ Earth Sci 62:935–951

    Article  Google Scholar 

  • Pedrazzini A (2012) Characterization of gravitational rock slope deformations at different spatial scales based on field, remote sensing and numerical approaches. PhD Thesis. Institute of Geomatics and Analysis of Risk, University of Lausanne

  • Preusser F, Reitner J, Schlüchter C (2010) Distribution, geometry, age and origin of overdeepened valleys and basins in the Alps and their foreland. Swiss J Geosci 103:407–427

    Article  Google Scholar 

  • R Development Core Team (2012) A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL: http://www.R-project.org/

  • Ripley BD (1976) The second-order analyses of stationary point processes. J Allied Probab 13:255–266

    Google Scholar 

  • Ripley BD (1988) Statistical inference for spatial processes. Cambridge University Press, Cambridge, MA

    Book  Google Scholar 

  • Steck A (1984) Structures de deformations tertiaires dans les Alpes centrales (transversale Aar-Simplon-Ossola). Eclogae Geol Helv 77(1):55–100

    Google Scholar 

  • Stoyan D (2006) Fundamentals of point process statistics. In: Case studies in spatial point process modeling. Lecture Notes in Statistics 185, Springer, Berlin

  • Tsai CY, Shieh CF (2008) A study of the time distribution of inter-cluster earthquakes in Taiwan. Phys A 387(22):5561–5566

    Article  Google Scholar 

  • Varga P, Krumm F, Riguzzi F, Doglioni C, Süle B, Wang K, Panza GF (2012) Global pattern of earthquakes and seismic energy distributions: Insights for the mechanisms of plate tectonics. Tectonophysics 530–531:80–86

    Article  Google Scholar 

  • Zuo R, Agterberg FP, Cheng Q, Yao L (2009) Fractal characterization of the spatial distribution of geological point processes. Int J Appl Earth Obs Geoinf 1:394–402

    Article  Google Scholar 

Download references

Acknowledgments

This work was partly supported by the SNFS project No. 200021-140658: “Analysis and modelling of space–time patterns in complex regions.”

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Marj Tonini.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tonini, M., Pedrazzini, A., Penna, I. et al. Spatial pattern of landslides in Swiss Rhone Valley. Nat Hazards 73, 97–110 (2014). https://doi.org/10.1007/s11069-012-0522-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11069-012-0522-9

Keywords

Navigation