Exploring the magnitude-frequency distribution: A cellular automata model for landslides

Landslides

Volumn 5, Issue 1, 2008, Pages 151-159

  Guthrie, Richard H ^a,b   Deadman, Peter J ^b   Cabrera, A Raymond ^b   Evans, Stephen G ^b  

^a Ministry of Environment British Columbia   (Canada)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Cellular automata; Debris flows; Debris slides; Landslides; Magnitude frequency

Indexed keywords

CELLULAR AUTOMATA; FORECASTING; HAZARDS; MATHEMATICAL MODELS; TOPOGRAPHY; WATERSHEDS;

DEBRIS FLOWS; DEBRIS SLIDES; MAGNITUDE FREQUENCY CURVES; MAGNITUDE FREQUENCY DISTRIBUTION;

LANDSLIDES;

CELLULAR AUTOMATON; DEBRIS FLOW; FREQUENCY ANALYSIS; HAZARD ASSESSMENT; LANDSLIDE; MAGNITUDE;

BRITISH COLUMBIA; CANADA; NORTH AMERICA;

EID: 39349111768     PISSN: 1612510X     EISSN: 16125118     Source Type: Journal    
DOI: 10.1007/s10346-007-0104-1     Document Type: Article

References (42)

1. Avolio MV, Di Gregorio S, Mantovani F, Pasuto A, Rongo R, Silvano S, Spataro W (2000) Simulation of the 1992 Tessina landslide by a cellular automata model and future hazard scenarios. JAG 2:41-50
2. Bak P (1996) How nature works: the science of self-organized criticality. Springer, Berlin Heidelberg New York
3. Bak P, Tang C, Wiesenfeld K (1988) Self-organized criticality. Phys Rev A 38:364-374
4. Brardinoni F, Slaymaker HO, Hassan MA (2003) Landslide inventory in a rugged forested watershed: a comparison between air-photo and field survey data. Geomorphology 54:179-196
5. Chen C, Yu F, Lin S, Cheung K (2007) Discussion of landslide self-organized criticality and the initiation of debris flow. Earth Surf Process Landf 32:197-209
6. Chung C, Bobrowsky P, Guthrie RH (2001) Quantitative prediction model for landslide hazard mapping. Tsitika and Schmidt creek watersheds, Northern Vancouver Island, British Columbia, Canada. In: Bobrowsky P (ed) Geoenvironmental mapping-method, theory and practice. A.A. Balkema Publishers, Lisse, Netherlands, pp 697-716
7. Clerici A, Perego S (2000) Simulation of the Parma River blockage by the Corniglio landslide (Northern Italy). Geomorphology 33:1-23
8. Czirok A, Somfai E, Vicsek T (1994) Self-affine roughening in a model experiment on erosion in geomorphology. Physica A 205:355-366
9. Dai FC, Lee CF (2001) Frequency-volume relation and prediction of rainfall-induced landslides. Eng Geol 59:253-266
10. D'Ambrosio D, Di Gregorio S, Iovine G, Lupiano V, Rongo R, Spataro W (2003) First simulations of the Sarno debris flows through cellular automata modeling. Geomorphology 54:91-117
11. Di Gregorio S, Rongo R, Siciliano C, Sorriso-Valvo M, Spataro W (1999) Mt. Ontake landslide simulation by the cellular automata model SCIDDICA-3. Phys Chem Earth (A) 24:131-137
12. Fujii Y (1969) Frequency distribution of the magnitude of the landslides caused by heavy rainfall. J Seismol Soc Jpn 22:244-247
13. Guthrie RH (2005) Geomorphology of Vancouver Island: mass wasting potential. Research Report No. RR01, British Columbia Ministry of Environment Victoria
14. Guthrie RH, Evans SG (2004a) Analysis of landslide frequencies and characteristics in a natural system, coastal British Columbia. Earth Surf Process Landf 29:1321-1339
15. Guthrie RH, Evans SG (2004b) Magnitude and frequency of landslides triggered by a storm event, Loughborough Inlet, British Columbia. Nat Hazards Earth Syst Sci 4:475-483
16. Guthrie RH, Evans SG (2005) The role of magnitude-frequency relations in regional landslide risk analysis. In: Hungr O, Fell R, Couture R, Eberhardt E (eds) Landslide risk management. A.A. Balkema, London, pp 375-380
17. Guthrie RH, Evans SG (2007) Work, persistence, and formative events: the geomorphic impact of landslides. Geomorphology 88:266-275
18. Guzzetti F, Reichenbach P, Cardinali M, Ardizzone F, Galli M (2002a) Impact of landslides in the Umbria Region Central Italy. Nat Hazards Earth Syst Sci 3:469-486
19. Guzzetti F, Malamud BD, Turcotte DL, Reichenbach P (2002b) Power-law correlations of landslide areas in Central Italy. Earth Planet Sci Lett 195:169-183
20. Guzzetti F, Reichenbach P, Cardinali M (2005) Probabilistic landslide hazard assessment at the basin scale. Geomorphology 72:272-299
21. Hall KJ (1992) Fractal geometry of global change in earth history. In: 29th International Geological Congress: Kyoto, Japan, 24 August-3 September, 10
22. Hirano M, Ohmori H (1989) Magnitude frequency distribution for rapid mass movements and its geomorphological implication. Trans Japan Geom Union 10:95-111
23. Hovius N, Stark CP, Allen PA (1997) Sediment flux from a mountain belt derived by landslide mapping. Geology 25:231-234
24. Hovius N, Stark CP, Hao-Tsu C, Jiun-Chuan L (2000) Supply and removal of sediment in a landslide-dominated mountain belt: Central Range, Taiwan. J Geol 108:73-89
25. Hungr O, Evans SG, Hazzard J (1999) Magnitude and frequency of rock falls and rock slides along the main transportation corridors of southwestern British Columbia. Can Geotech J 36:224-238
26. Hungr O, McDougall S, Wise M, Cullen M (2007) Magnitude-frequency relationships of debris flows and debris avalanches in relation to slope relief. Geomorphology, (in press). DOI 10.1016/j.geomorph.2007.03.020
27. Iovine G, Di Gregorio S, Lupiano V (2003) Debris-flow susceptibility assessment through cellular automata modeling: an example from 15-16 December 1999 disaster at Cervinara and San Martino Valle Caudina (Campania, southern Italy). Nat Hazards Earth Syst Sci 3:457-468
28. Malamud BD, Turcotte DL (2000) Cellular Automata models applied to natural hzards. IEEE Comput Sci Eng 2:42-51
29. Malamud BD, Turcotte DL, Guzzetti F, Reichenbach P (2004a) Landslides, earthquakes and erosion. Earth Planet Sci Lett 229:45-59
30. Malamud BD, Turcotte DL, Guzzetti F, Reichenbach P (2004b) Landslide inventories and their statistical properties. Earth Sci Process Landf 29:687-711
31. Noever DA (1993) Himalayan sandpiles. Phys Rev E47:724-725
32. Pelletier JD, Malamud BD, Blodgett T, Turcotte DL (1997) Scale-invariance of soil moisture variability and its implications for the frequency-size distribution of landslides. Eng Geol 48:255-268
33. Perline R (2005) Strong, weak and false power laws. Stat Sci 20:68-88
34. Reid LM, Page MJ (2002) Magnitude and frequency of landsliding in a large New Zealand catchment. Geomorphology 49:71-88
35. Schmidt KM, Montgomery DR (1995) Limits to relief. Science 270:617-620
36. Segre E, Deangeli C (1995) Cellular automaton for realistic modeling of landslides. Nonlinear Process Geophys 2:1-15
37. Somfai E, Czirok A, Vicsek T (1994) Power-law distribution of landslides in an experiment on the erosion of a granular pile. J Phys A Math Gen 27:L757-L763
38. Stark CP, Hovius N (2001) The characterization of landslide size distributions. Geophys Res Lett 28:1091-1094
39. Turcotte DL, Malamud BD, Guzzetti F, Reichenbach P (2002) Self-organization, the cascade model, and natural hazards. Proc Natl Acad Sci USA 19:2530-2537
40. Von Neumann J (1966) Theory of self-reproducing automata. University of Illinois Press, Urbana
41. Wise MP (1997) Probabilistic modeling of debris flow travel distance using empirical volumetric relationships. M.Sc. thesis, University of British Columbia, Vancouver
42. Wolfram S (1984) Cellular automata as models of complexity. Nature 311:419-424