Frequency-Size Statistics of Coastal Soft-Cliff Erosion
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 131, Issue 1
Abstract
Predicting the retreat of a coastal soft cliff is a difficult and uncertain operation, which has both theoretical and practical significance. Recession of soft cliffs occurs through a combination of processes, including slope failures and surface erosion, that are difficult to model jointly. Deterministic models for predicting coastal retreat are hampered by the complex nature of coastal erosion, which is highly nonuniform in space and episodic in time. To overcome these limitations, stochastic approaches have been proposed. These models assume distributions for the size and the time of the recession events. In this paper we investigate the frequency-size statistics of soft-cliff erosion based on two historical datasets of coastal retreat measurements at two sites in England. We find that the two datasets exhibit a similar behavior. The frequency of the recessions decreases with increasing size of the retreat. For small retreats the decrease is slow. For medium to large retreats the decrease is rapid and follows a power law. The frequency-size statistics of soft-cliff erosion is similar to the statistics of medium to large landslide areas, which are also power-law distributed. This is a significant but not conclusive result. More data are needed to confirm this finding.
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Acknowledgments
The writers thank Neil Mclachlan of East Riding Council for supplying the Holderness data. The research is supported, in part, by a research grant from the Leverhulme Trust (Grant No. F/00143/D).
References
Dai, F. C., and Lee, C. F. (2001). “Frequency-volume relation and prediction of rainfall-induced landslides.” Eng. Geol. (Amsterdam), 59(3–4), 253–266.
Dong, P., and Chen, H. X. (1999). “A probability method for predicting time-dependent long-term shoreline erosion.” Coastal Eng., 36(3), 243–261.
Flick, R. E. (1998). “Comparison of California tides, storm surges and mean sea level during the El Nino winters of 1982–83 and 1997–98.” Shore Beach, 66(3), 7–11.
Gutenberg, B., and Richter, C. F. (1954). Seismicity of the Earth and associated phenomena, Princeton University Press, Princeton, N.J.
Guzzetti, F., Malamud, B. D., Turcotte, D. L., and Reichenbach, P. (2002). “Power-law correlations of landslide areas in central Italy.” Earth Planet. Sci. Lett., 195(3–4), 169–183.
Hall, J. W., Meadowcroft, I. C., Lee, E. M., and van Gelder, P. H. A. J. M. (2002). “Stochastic simulation of episodic soft coastal cliff recession.” Coastal Eng., 46(3), 159–174.
Hovius, N., Stark, C. P., and Allen, P. A. (1997). “Sediment flux from a mountain belt derived by landslide mapping.” Geology, 25, 231–234.
Kamphuis, J. W. (1987). “Recession rate of glacial till bluffs.” J. Waterw., Port, Coastal, Ocean Eng., 113(1), 60–73.
Komar, P. D., Marra, J. J., and Allen, J. C. (2002). “Coastal erosion processes and assessments of setback distances.” Solutions to Coastal Disasters 2002, L. Ewing and L. Wallendorf, eds., ASCE, Reston, Va., 808–822.
Malamud, B. D., Turcotte, D. L., Guzzetti, F., and Reichenbach, P. (2004). “Landslide inventories and their statistical properties.” Earth Surf. Processes Landforms, 29(6), 687–711.
Mano, A., and Suzuki, S. (1999). “Erosion characteristics of sea cliff on the Fukushima coast.” Coastal Eng., 41(1), 43–63.
Meadowcroft, I. C., Hall, J. W., Lee, E. M., and Milheiro-Oliveira, P. (1999). “Coastal recession: Development and application of prediction methods.” Rep. SR528, HR Wallingford.
Reeve, D. E., and Fleming, C. A. (1997). “A statistical-dynamical method for predicting long term coastal evolution.” Coastal Eng., 30(3–4), 259–280.
Schuster, R. L., and Highland, L. M. (2001). “Socioeconomic and environmental impacts of landslides in the Western Hemisphere.” Open-File Rep. 01-0276, U.S. Geological Survey, Reston, Va.
Stark, C. P., and Hovius, N. (2001). “The characterization of landslide size distributions.” Geophys. Res. Lett., 28, 1091–1094.
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© 2005 ASCE.
History
Received: Jun 24, 2004
Accepted: Jul 20, 2004
Published online: Jan 1, 2005
Published in print: Jan 2005
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