Configuration entropy of fractal landscapes

Geophysical Research Letters

Volumn 25, Issue 7, 1998, Pages 1015-1018

  Rodriguez Iturbe, Ignacio ^a   D'Odorico, Paolo ^a   Rinaldo, Andrea ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; FLOW OF WATER; HYDROLOGY; LANDFORMS; MATHEMATICAL MODELS; FRACTALS; RAIN;

CONFIGURATION ENTROPY; FRACTAL LANDSCAPES; CHARACTERISTIC LENGTH; CONFIGURATIONAL ENTROPY; DIFFERENT HEIGHTS; QUANTITATIVE DESCRIPTION; SPATIAL ARRANGEMENTS; SPATIAL STRUCTURE; TWO DIMENSIONAL IMAGES;

GEOMORPHOLOGY; ENTROPY;

ENTROPY; FRACTAL LANDSCAPE;

EID: 0032049467     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/98GL00654     Document Type: Article

References (14)

1. Andraud, C., A. Beghdadi and J. Lafait, Entropic analysis of random morphologies, Physica A 207, 208-217, 1994.
2. Andraud, C., A. Beghdadi, E. Haslund, R. Hilfer, J. Lafait and B. Virgin, Local Entropy characterization of correlated random microstructures, Physica A 235, 307-318, 1997.
3. Boger, F., J. Feder, T. Jossang and R. Hilfer, Microstructural sensitivity of local porosity distributions, Physica A 187, 55-67, 1992.
4. Cox, D.R. and V. Isham, Point Processes, Chapmann and Hall, London, 1980.
5. Cox, D.R. and V. Isham, A simple spatial-temporal model of rainfall, Proc. R. Soc. Lond., A 415, 317-328, 1988.
6. Feder, J., Fractals, Plenum, New York, 1988.
7. Griffith, D.A., Advanced Spatial Statistics, Kluwer Academic Publishers, Boston, 1988.
8. Lam, N.S. and L. De Cola editors, Fractals in Geography, Prentice Hall, Engewood Cliffs, N.J., 1993.
9. Ripley, B. D., Statistical Inference for Spatial Processes, Cambridge Univ. Press, Cambridge, 1988.
10. Rodriguez-Iturbe, I., D.R. Cox and V. Isham, Some models of rainfall based on stochastic point processes, Proc. R. Soc. Lond., A 410, 269-288, 1987.
11. Rodriguez-Iturbe, I. and A. Rinaldo, Fractal River Basins: Chance and Self-Organization, Cambridge Univ. Press, Cambridge, 1997.
12. Saupe D., Algorithms for random fractals, in The Science of Fractal Images, Peintgen, H. O. and Saupe D. editors, Springer, Berlin, 1988.
13. Turcotte, D.L., Fractals and Choos in Geology and Geophysics (Cambridge Univ. Press, Cambridge, 1989).
14. Waymire, E.G. and V.K. Gupta, The mathematical structure of rainfall representations, 1, A review of the stochastic rainfall models, Water Resour. Res., 17, 1,261-1,272, 1981.