Modeling cliff erosion using negative power law scaling of rockfalls

Geomorphology

Volumn 139-140, Issue , 2012, Pages 416-424

  Barlow, John ^a   Lim, Michael ^c   Rosser, Nick ^b   Petley, David ^b   Brain, Matthew ^b   Norman, Emma ^b   Geer, Melanie ^b  

^a UNIVERSITY OF SUSSEX   (United Kingdom)

^b DURHAM UNIVERSITY   (United Kingdom)

^c NORTHUMBRIA UNIVERSITY   (United Kingdom)

Author keywords

Cliff recession; Numerical modeling; Rockfalls

Indexed keywords

CLIFF; DATA SET; DECADAL VARIATION; EROSION; LANDFORM EVOLUTION; NUMERICAL MODEL; POWER LAW; ROCKFALL; TIMESCALE;

ENGLAND; NORTH YORKSHIRE; UNITED KINGDOM;

EID: 84855999954     PISSN: 0169555X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomorph.2011.11.006     Document Type: Article

References (39)

1. Brardinoni F., Church M. Representing the landslide magnitude-frequency relation: Capilano River Basin, British Columbia. Earth Surface Processes and Landforms 2004, 29:115-124.
2. British Oceanographic Data Centre Last Accessed 4/11/2011. https://www.bodc.ac.uk/data/online_delivery/.
3. Brunetti M.T., Guzzetti F., Rossi M. Probability distributions of landslide volumes. Nonlinear Processes in Geophysics 2009, 16:179-188.
4. Davies P., Williams A., Bomboe P. Numerical analysis of coastal cliff failure along the Pembrokeshire Coast National Park, Wales, UK. Earth Surface Processes and Landforms 1998, 23:1123-1134.
5. Dong P., Guzzetti F. Frequency-size statistics of coastal soft-cliff erosion. Journal of Waterway, Port, Coastal, and Ocean Engineering 2005, 131:37-42.
6. Dussauge C., Grasso J.-R., Helmstetter A. Statistical analysis of rock fall volume distributions: implications for rock fall dynamics. Journal of Geophysical Research 2003, 108(B6):2286.
7. Emery K., Kuhn G. Sea cliffs: their processes, profiles, and classification. Geological Society of America Bulletin 1982, 93:644-654.
8. Goldstein M.L., Morris S.A., Yen G.G. Problems with fitting to the power-law distribution. European Physical Journal B 2004, 41:255-258.
9. Guthrie R., Evans S. Analysis of landslide frequencies and characteristics in a natural system. Coastal British Columbia. Earth Surface Processes and Landforms 2004, 29:1321-1339.
10. Guzzetti F., Malamud B., Turcotte D., Reichenbach P. Power-law correlations of landslide areas in central Italy. Earth and Planetary Science Letters 2002, 195:169-183.
11. Hall J.W., Meadowcroft I.C., Lee E.M., van Gelder P.H.J.M. Stochastic simulation of episodic soft coastal cliff recession. Coastal Engineering 2002, 46:159-174.
12. Hergarten S. Landslides, sandpiles, and self-organized criticality. Natural Hazards and Earth System Sciences 2003, 3:505-514.
13. Hovius N., Stark C., Allen P. Sediment flux from a mountain belt derived by landslide mapping. Geology 1997, 25:231-234.
14. Hovius N., Stark C., Tutton M., Abbott L. Landslide-driven drainage network evolution in pre-steady-state mountain belt: Finisterre Mountains, Papua New Guinea. Geology 1998, 26:1071-1074.
15. Hovius N., Stark C., Hao-Tsu C., Jiun-Chuan L. Supply and removal of sediment in a landslide-dominated mountain belt: central range, Taiwan. Journal of Geology 2000, 108:73-89.
16. Korup O. Distribution of landslides in southwest New Zealand. Landslides 2005, 2:43-51.
17. Larsen I.J., Montgomery D.R., Korup O. Landslide erosion controlled by hillslope material. Nature Geoscience 2010, 10.1038/NGE0776.
18. Lee E.M., Hall J.W., Meadowcroft I.C. Coastal cliff recession: the use of probabilistic prediction methods. Geomorphology 2001, 40:253-269.
19. Lim M., Petley D.N., Rosser N.J., Allison R.J., Long A.J. Digital photogrammetry and time-of-flight laser scanning as an integral approach to monitoring cliff evolution. The Photogrammetric Record 2005, 20:109-129.
20. Lim M., Rosser N.J., Allison R.J., Petley D.N. Erosional processes in the hard rock coastal cliffs at Staithes, North Yorkshire. Geomorphology 2010, 114:12-21.
21. Malamud B., Turcotte D., Guzzetti F., Reichenbach P. Landslide inventories and their statistical properties. Earth Surface Processes and Landforms 2004, 29:687-711.
22. Marques F.M.S.F. Magnitude-frequency of sea cliff instabilities. Natural Hazards and Earth System Sciences 2008, 8:1161-1171.
23. Martin Y., Church M. Numerical modeling of landscape evolution: geomorphological perspectives. Progress in Physical Geography 2004, 28:317-339.
24. Martin Y., Rood K., Schwab J., Church M. Sediment transfer by shallow landsliding in the Queen Charlotte Islands, British Columbia. Canadian Journal of Earth Sciences 2002, 39:189-205.
25. Moore J.R., Sanders J.W., Dietrich W.E., Glaser S.D. Influence of rock mass strength on the erosion rate of alpine cliffs. Earth Surface Processes and Landforms 2009, 34:1339-1352.
26. Norrish N., Wyllie D. Rock Slope Stability Analysis, in Landslides Investigation and Mitigation. Transportation Research Board Special Report 247 1996, 391-425. National Academy Press, Washington D.C. K. Turner, R. Schuster (Eds.).
27. Pelletier J., Malamud B., Blodgett T., Turcotte D. Scale-invariance of soil moisture variability and its implications for the frequency-size distributions of landslides. Engineering Geology 1997, 48:255-268.
28. Rawson P.F., Wright J.K. The Yorkshire Coast. The Yorkshire Coast Geologists' Association Guide No. 34 2000, Geologists' Association, London.
29. Rosser N.J., Lim M., Petley D.N., Dunning S., Allison R.J. Patterns of precursory rockfall prior to slope failure. Journal of Geophysical Research 2007, 112:F04014.
30. Rossi M., Witt A., Guzzetti F., Malamud B., Peruccacci S. Analysis of historical landslide time series in the Emilia-Romagna region, northern Italy. Earth Surface Processes and Landforms 2010, 35:1123-1137.
31. Selby M. Hillslope Materials and Processes 1993, Oxford University Press, Oxford. 2nd ed.
32. Simonett D.S. Landslide distribution and earthquakes in the Bewani and Torricelli Mountains, New Guinea. Landform Studies from Australia and New Guinea 1967, 64-84. Cambridge University Press, Cambridge. J.N. Jenning, J.A. Mabbutt (Eds.).
33. Stark C., Guzzetti F. Landslide rupture and probability distribution of mobilized debris volumes. Journal of Geophysical Research 2009, 114:F00A02.
34. Stark C., Hovius N. The characterization of landslide size distributions. Geophysical Research Letters 2001, 28:1091-1094.
35. Treixeira S.B. Slope mass movements on rocky sea cliffs: a power-law distributed natural hazard on the Barlavento Coast, Algarve, Portugal. Continental Shelf Research 2006, 26:1077-1091.
36. Trenhaile A. Rock coasts with particular emphasis on shore platforms. Geomorphology 2002, 48:7-22.
37. Van Den Eeckhaut M., Poesen J., Govers G., Verstraeten G., Demoulin A. Characteristics of the size distribution of recent and historical landslides in a populated hilly region. Earth and Planetary Science Letters 2007, 256:588-603.
38. White E.P., Enquist B.J., Green J.L. On estimating the exponent of power law frequency distributions. Ecology 2008, 89(4):905-912.
39. Wolman M.G., Miller J.P. Magnitude and frequency of forces in geomorphic processes. Journal of Geology 1960, 68(1):54-74.