Self-organized criticality applied to natural hazards

Natural Hazards

Volumn 20, Issue 2-3, 1999, Pages 93-116

  Malamud, Bruce D ^a   Turcotte, Donald L ^a  

^a Department of Molecular Biology and Genetics   (United States)

Author keywords

Cellular automata models; Earthquakes; Forest fires; Fractals; Landslides; Self organized criticality

Indexed keywords

HAZARD MANAGEMENT; NATURAL HAZARD; SELF ORGANIZATION;

EID: 0033496773     PISSN: 0921030X     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1008014000515     Document Type: Conference Paper

References (51)

1. ACT Bush Fire Council: 1996, Season summaries, Electronic data available at the Firebreak Web Site (msowww.anu.edu.au/~barling/firebreak/firehistory.html).
2. Aki, K.: 1981, A probabilistic synthesis of precursory phenomena, In D. Simpson and P. Richards (eds), Earthquake Prediction, Amer. Geophys. Union, Washington, D.C., pp. 566-574.
3. Bak, P., Chen, K., and Tang, C.: 1990, A forest-fire model and some thoughts on turbulence, Phys. Lett. A 147, 297-300.
4. Bak, P. and Tang, C.: 1989, Earthquakes as a self-organized critical phenomenon, J. Geophys. Res. 94, 15,635-15,637.
5. Bak, P., Tang, C., and Wiesenfeld, K.: 1988, Self-organized criticality, Phys. Rev. A 38, 364-374.
6. Blodgett, T. A.: 1998, Erosion rates on the NE escarpment of the Eastern Cordillera, Bolivia, derived from aerial photographs and thematic mapper images, PhD Thesis, Cornell University, Ithaca, NY.
7. Bretz, M., Cunningham, J. B., Kurczynski, P. L., and Nori, F.: 1992, Imaging of avalanches in granular materials, Phys. Rev. Lett. 69, 2431-2434.
8. Burridge, R. and Knopoff, L.: 1967, Model and theoretical seismicity, Seism. Soc. Am. Bull. 57, 341-371.
9. Carlson, J. M. and Langer, J. S.: 1989, Mechanical model of an earthquake fault, Phys. Rev. A 40, 6470-6484.
10. Carlson, J. M., Langer, J. S., and Shaw, B. E.: 1994, Dynamics of earthquake faults, Rev. Mod. Phys. 66, 657-670.
11. Christensen, K., Flyvbjerg, H., and Olami, Z.: 1993, Self-organized critical forest-fire model: Meanfield theory and simulation results in 1 to 6 dimensions, Phys. Rev. Lett. 71, 2737-2740.
12. Clar, S., Drossel, B., and Schwabl, F.: 1996, Forest fires and other examples of self-organized criticality, J. Phys. Cond. Mat. 8, 6803-6824.
13. Densmore, A. L., Anderson, R. S., McAdoo, G. B., and Ellis, M. A.: 1997, Hillslope evolution by bedrock landslides, Science 275, 369-372.
14. Drossel, B. and Schwabl, F.: 1993, Forest-fire model with immune trees, Physica A 199, 183-197.
15. Evernden, J. F.: 1970, Study of the regional seismicity and associated problems, Seism. Soc. Am. Bull. 60, 393-446.
16. Evesque, P.: 1991, Analysis of statistics of sandpile avalanches using soil-mechanics results and concepts, Phys. Rev. A 43, 2720-2740.
17. Feder, J.: 1995, The evidence for self-organized criticality in sand-pile dynamics, Fractals 3, 431-443.
18. Grumbacher, S. K., McEwen, K. M, Halverson, D. A., Jacobs, D. T., and Lindner, J.: 1993, Self-organized criticality: an experiment with sandpiles, Am. J. Phys. 61, 329-335.
19. Gutenberg, B. and Richter, C. F.: 1954, Seismicity of the Earth and Associated Phenomenon, 2nd edn, Princeton University Press, Princeton.
20. Harp, E. L. and Jibson, R. L.: 1995, Inventory of landslides triggered by the 1994 Northridge, California earthquake, U.S. Geol. Surv. Open File Report 95-213.
21. Held, G. A., Solina, D. H., Keane, D. T., Haag, W. J., Horn, P. M., and Grinstein, G.: 1990, Experimental study of critical-mass fluctuations in an evolving sandpile, Phys. Rev. Lett. 65, 1120-1123.
22. Henley, C. L.: 1993, Statics of a "self-organized" percolation model, Phys. Rev. Lett. 71, 2741-2744.
23. Heyerdahl, E., Swanson, F., Berry, D., and Agee, K.: 1994, Fire History Database of the Western United States. Available at the H. J. Andrews Long-Term Ecological Research (LTER) database (www.fsl.orst.edu/lter/datafr.htm). Data sets provided by the Forest Science Data Bank, partnership between the Dept. of Forest Science, Oregon State Univ., and the U.S. Forest Service Pacific NW Research Station, Corvallis, OR. Significant funding for data provided by NSF LTER program (NSF grants BSR-90-11663 and DEB-96-32921).
24. Hovius, N., Stark, C. P., and Allen, P. A.: 1997, Sediment flux from a mountain belt derived by landslide mapping, Geology 25, 231-234.
25. Huang, J., Narkounskaia, G., and Turcotte, D. L.: 1992, A cellular-automata, slider-block model for earthquakes: II, Demonstration of self-organized criticality for a 2-D system, Geophys. J. Int. 111, 259-269.
26. Huang, J. and Turcotte, D. L.: 1990, Are earthquakes an example of deterministic chaos?, Geophys. Res. Lett. 17, 223-226.
27. Johansen, A.: 1994, Spatio-temporal self-organization in a model of disease spreading, Physica D 78, 186-193.
28. Johnston, A. C. and Nava, S. J.: 1985, Recurrence rates and probability estimates for the New Madrid seismic zone, J. Geophys. Res. 90, 6737-6753.
29. Johnston, A. C. and Schweig, E. S.: 1996, The enigma of the New Madrid earthquakes of 1811-1812, An. Rev. Earth Planet. Sci. 24, 339-384.
30. Kadanoff, L. P., Nagel, S. R., Wu, L., and Zhou, S. M.: 1989, Scaling and universality in avalanches, Phys. Rev. A 39, 6524-6533.
31. Kasischke, E. S. and French, N. H. F.: 1995, Locating and estimating the areal extent of wildfires in Alaskan boreal forest using multiple-season AVHRR NDVI composite data, Remote Sensing Environ. 51, 263-275.
32. Kossobokov, V. G. and Turcotte, D. L.: 1996, A systematic global assessment of the seismic hazard, AGU National Meeting, EOS 77, F480.
33. Nagel, S. R.: 1992, Instabilities in a sandpile, Rev. Mod. Phys. 64, 321-325.
34. Narkounskaia, G. and Turcotte, D. L.: 1992, A cellular-automata, slider block model for earthquakes, I. Demonstration of chaotic behavior for a low order system, Geophys. J. Int. 111, 250-258.
35. National Interagency Fire Center: 1996, Unpublished data obtained from Andrea Olson, Fire Management Branch, U.S. Fish and Wildlife Service, Boise, ID.
36. Nilsen, T. H., Bartow, J. A., Frizzell Jr., V. A., and Sims, J. D.: 1975, Preliminary photointerpretation maps of landslide and other surficial deposits of 56 7 1/2-minute quadrangles in the southeastern San Francisco Bay region, Alameda, Contra Costa, and Santa Clara counties, California, U.S. Geol. Surv. Open-File Report 75-0277.
37. Noever, D. A.: 1993, Himalayan sandpiles, Phys. Rev. E 47, 724-725.
38. Ohmori, H. and Hirano, M.: 1988, Magnitude, frequency and geomorphological significance of rocky mudflows, land creep and the collapse of steep slopes, Z. Geomorphic. N.F. 67, 55-65.
39. Ohmori, H. and Sugai, T.: 1995, Toward geomorphometric models for estimating landslide dynamics and forecasting landslide occurrence in Japanese mountains, Z. Geomorph. N. F. 101, 149-164.
40. Pacheco, J., Scholz, C. H., and Sykes, L. R.: 1992, Changes in frequency-size relationship from small to large earthquakes, Nature 355, 71-73.
41. Pelletier, J. D., Malamud, B. D., Blodgett, T. A., and Turcotte, D. L.: 1997, Scale-invariance of soil moisture variability and its implications for the frequency-size distribution of landslides, Eng. Geol. 48, 255-268.
42. Puhl, H.: 1992, On the modeling of real sand piles, Physica A 182, 295-319.
43. Rosendahl, J., Vekic, M., and Rutledge, J. E.: 1994, Persistent self-organization of sandpiles, Phys. Rev. Lett. 73, 537-540.
44. Sasaki, Y., Abe, M., and Hirano, I.: 1991, Fractals of slope failure size-number distribution, J. Japan Sci. Eng. Geol. 32, 1-11.
45. Sieh, K. F.: 1978, Slip along the San Andreas Fault associated with the great 1857 earthquake, Seism. Soc. Am. Bull. 68, 1421-1448.
46. Sieh, K. F., Stuiver, M., and Brillinger, D.: 1989, A more precise chronology of earthquakes produced by the San Andreas Fault in southern California, J. Geophys. Res. 94, 603-623.
47. Sugai, T., Ohmori, H., and Hirano, M.: 1994, Rock control on magnitude-frequency distribution of landslide, Trans. Jap. Geomorph. Un. 15, 233-251.
48. SCSN (Southern California Seismographic Network) Catalog: 1995, SCSN catalog in electronic format at the Southern California Earthquake Center (SCEC), Calif. Inst. of Tech., Pasadena, California.
49. Turcotte, D. L.: 1997, Fractals and Chaos in Geology and Geophysics, 2nd edn, Cambridge Univ. Press, Cambridge.
50. United States Geological Survey: 1996, Global Hypocenter Database, CD-ROM, supplemented by Preliminary Determination of Epicenters (PDE) catalog, National Earthquake Info. Center, U.S. Geol. Surv., Denver, CO.
51. Whitehouse, I. E. and Griffiths, G. A.: 1983, Frequency and hazard of large rock avalanches in the Southern Alps, New Zealand, Geology 11, 331-334.