Multifractal and entropic properties of landslides in Japan

Geologische Rundschau

Volumn 85, Issue 1, 1996, Pages 71-84

  Goltz, C ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Entropy; Japan; Landslides; Multifractal; Numerical Algorithms; Predictability

Indexed keywords

ENTROPY ANALYSIS; FRACTAL PROPERTIES; LANDSLIDE MODELLING; MULTIFRACTAL CHARACTER;

JAPAN;

EID: 0029774478     PISSN: 00167835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005310050054     Document Type: Article

References (40)

1. Bak P, Tang C, Wiesenfeld K (1988) Self-organized criticality. Phys Rev A 38:364-374
2. Barnsley MF (1988) Fractals Everywhere. Academic Press, San Diego
3. Beghdadi A, Andraud C, Lafait J, Peiro J, Perreau M (1994) Entropic and multifractal analysis of disordered morphologies. In: Vicsek T, Shlesinger M, and Matsushita M (eds) Fractals in Natural Science. World Scientific, Singapore, pp 360-368
4. Borgani S, Murante G, Provenzale A, Valdarnini R (1993) Multifractal Analysis of the galaxy distribution: Reliability of results from finite data sets. Phys Rev E 47:3879-3888
5. Carlson JM, Grannan ER, Swindle GH (1993) Self-organizing systems at finite driving rates. Phys Rev E 47:93-105
6. Crozier MJ (1986) Landslides: causes, consequences and environment. Croom Helm, London
7. De Wijs HJ (1953) Statistics of Ore Distribution. Part II: Theory of binomial distribution applied to sampling and engineering problems. Geol Mijnb 15:12-24
8. Emmerson LM, Roberts AJ (1994) Fractal and multi-fractal patterns of seaweed settlement. Electronic preprint ftp.usq.edu.au
9. Evertsz CJG, Mandelbrot BB (1992) Multifractal Measures. In: Peitgen HO, Jürgens H, Saupe D (eds) Chaos and Fractals. Springer-Verlag, New York, pp 921-953
10. Feder J (1988) Fractals. Plenum Press, New York
11. Frisch U, Hasslacher B, Pomeau Y (1986) Lattice-gas automata for the Navier-Stokes equation. Phys Rev Lett 56:1505-1508
12. Fukuoka H, Hiura H, Goltz C (1994) Fractal aspects of the landslide distribution and size-frequency relation of landslides in Hokkaido. Proc Annual Conf of the Japan Landslide Society: 23-26 (in Japanese)
13. Geilikman MB, Golubeva TV, Pisarenko VF (1990) Multifractal patterns of seismicity. Earth and Planetary Science Letters 99:127-132
14. Godano C, Caruso V (1995) Multifractal analysis of earthquake catalogues. Geophys J Int 121:385-392
15. Goltz C, Welle W (1988) Iterative Funktionensysteme: Eine neue Methode in der Computergraphik. Journal der Deutschen Geophysikalischen Gesellschaft 4:24-27 (in German)
16. Grassberger P (1988) Finite sample corrections to entropy and dimension estimates. Phys Letts A 128:369-373
17. Grassberger P, Procaccia I (1983) Characterization of strange attractors. Phys Rev Lett 50:346-349
18. Halsey TC, Jensen MH, Kadanoff LP, Procaccia I, Shraiman BI (1986) Fractal measures and their singularities: The characterization of strange sets. Phys Rev A 33:1141-1151
19. Hastings HM, Sugihara G (1993) Fractals: A Users's Guide for the Natural Sciences. Oxford University Press, New York
20. Hirabayashi T, Ito K, Yoshii T (1992) Multifractal analysis of earthquakes. PAGEOPH 138:591-610
21. Hirata T, Imoto M (1991) Multi-fractal analysis of spatial distribution of microearthquakes in the Kanto-region. Geophys J Intl 107:155-162
22. Hiura H, Fukuoka H (1994) Fractal distribution characteristics of Landslides in Hokkaido isl., Shikoku isl. and Tohoku district. East Asia Symposium and Field Workshop on Landslides and Debris Flow:35-43
23. Hong SZ, Hong SM (1994) An amendment to the fundamental limits on dimension calculations. Fractals 2:123-125
24. Hooge C, Lovejoy S, Schertzer D, Pecknold S, Malouin JF, Schmitt F (1994) Multifractal phase transitions: the origin of self-organized criticality in earthquakes. Nonlinear Processes in Geophysics 1:191-197
25. Ito K (1992) Towards a new view of earthquake phenomena. PAGEOPH 138:531-548
26. McCauley JL (1993) Chaos, Dynamics and Fractals: An Algorithmic Approach to Deterministic Chaos. Cambridge University Press, Cambridge
27. Pawelzik K, Schuster HG (1987) Generalized dimensions and entropies from measured time series. Phys Rev A 35:481-484
28. Peitgen HO, Saupe D (1988) The Science of Fractal Images. Springer-Verlag, Heidelberg
29. Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1992) Numerical Recipes in C. Cambridge University Press, Cambridge
30. Provenzale A, Villone B, Babiano A, Vio R (1993) Intermittency, phase randomization and generalized fractal dimensions. Int Jour of Bifurcation and Chaos 3:729-736
31. Ramsey JB, Yuan HJ (1990) The statistical properties of dimension calculations using small data sets. Nonlinearity 3:155-176
32. Russ JC (1994) Fractal Surfaces. Plenum Press, New York
33. Segre E, Deangeli C (1995) Cellular automaton for realistic modelling of landslides to appear in: Nonlinear Processes in Geophysics
34. Scheidegger AE (1991) Theoretical Geomorphology. Springer-Verlag, Berlin
35. Schertzer D, Lovejoy S (1993) Nonlinear variability in geophysics: Scaling and multifractal processes. AGU Chapman/EGS Richardson Memorial Conference, Lecture Notes
36. Schuster HG (1988) Deterministic Chaos. VCH Publishers, Weinheim
37. Suzuki M, Asakawa T, Kobashi S (1988) Examination of critical rainfall for landslides with rain fall radar information. The case of typhoon No. 10, 1983 attack to Hyogo and Kyoto prefecture, Japan. Proc Ann Conf of Erosion Control Society, Japan: 81-84 (in Japanese)
38. Takahashi T (1991) Debris Flow. IAHR Monograph, Belkema, Rotterdam
39. Takayasu H (1990) Fractals in the physical sciences. Manchester University Press, Manchester
40. Vicsek T (1992) Fractal Growth Phenomena. 2nd ed., World Scientific Publishing Co., Singapore