A new approach to hydrologic modeling: Derived distributions revisited

Journal of Hydrology

Volumn 187, Issue 1-2, 1996, Pages 65-80

  Puente, Carlos E ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FRACTALS; GEOMETRY; INTERPOLATION; MATHEMATICAL TRANSFORMATIONS;

ARBITRARY MULTINOMIAL MULTIFRACTALS; FRACTAL GEOMETRIC PROCEDURES; HYDROLOGIC MODELS;

HYDROLOGY;

FRACTAL MODEL; HYDROLOGICAL MODELLING;

EID: 0030300858     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1694(97)87978-4     Document Type: Article

References (34)

1. Barnsley, M.F., 1986. Fractal functions and interpolation. Constr. Approx., 2: 303-329.
2. Barnsley, M.F., 1988. Fractals Everywhere. Academic Press, New York, 394 pp.
3. Barnsley, M.F., Elton, J., Hardin, D. and Massopust, P., 1989. Hidden variable fractal interpolation functions. SIAM J. Math. Anal., 20(5): 1218-1242.
4. Bear, J. and Bachmat, Y., 1991. Introduction to Modeling of Transport Phenomena in Porous Media. Kluwer Academic Publishers, Dordrecht, 553 pp.
5. Benjamin, J.T. and Cornell, C.A., 1970. Probability, Statistics, and Decision for Civil Engineers. McGraw-Hill, New York, 684 pp.
6. Bhattacharya, R.N. and Waymire, E.C., 1990. Stochastic Processes with Applications. John Wiley and Sons, New York, 672 pp.
7. Billingsley, P., 1983. The singular function of bold play. Am. Sci., 71: 392-397.
8. Bras, R.L. and Rodriguez-Iturbe, I., 1985. Random Functions and Hydrology. Addison Wesley, Reading, MA, 559 pp.
9. Cressie, N., 1991. Statistics for Spatial Data. John Wiley and Sons, New York, 900 pp.
10. Dagan, G., 1989. Flow and Transport in Porous Formations. Springer-Verlag, New York, 465 pp.
11. Davies, P. (Editor), 1989. The New Physics. Cambridge University Press, Cambridge, 516 pp.
12. Dooge, J.C.I., 1986. Looking for hydrologic laws. Water Resour. Res., 22(9): 46S-58S.
13. Dubins and Savage, 1968. Optimal gambling systems. PNAS, 46: 1597-1598.
14. Eagleson, P.S., 1970. Dynamic Hydrology. McGraw-Hill, New York, 462 pp.
15. Feder, J., 1988. Fractals. Plenum Press, New York, 283 pp.
16. Feigenbaum, M.J., 1980. Universal behavior in nonlinear systems. Los Alamos Sci., Summer: 4-27.
17. Feller, W., 1968. An Introduction to Probability Theory and its Applications. Vol. 1, 3rd edn., John Wiley, London.
18. Freeze, R.A. and Cherry, J.A., 1979. Groundwater. Prentice Hall, Englewood Cliffs, 604 pp.
19. Lesieur, M., 1990. Turbulence in Fluids. Kluwer Academic Publishers, Dordrecht, 412 pp.
20. Libchaber, A., 1982. Convection and turbulence in liquid helium I. Physica B, 109-110: 1583-1589.
21. Lorenz, E.N., 1963. Deterministic nonperiodic flow. J. Atmos. Sci., 20: 130-141.
22. Mandelbrot, B.B., 1983. The Fractal Geometry of Nature. Freeman, San Francisco, 468 pp.
23. Mandelbrot, B.B., 1989. Multifractal measures especially for the geophysicist. In: C.H. Scholz and B.B. Mandelbrot (Editors), Fractals in Geophysics. Birkhauser Verlag, Basel, pp. 1-42.
24. Marani, A., Rigon, R. and Rinaldo, A., 1991. A note on fractal channel networks. Water Resour. Res., 27(12): 3041-3049.
25. Meneveau, C. and Sreenivasan, K.R., 1987. Simple multifractal cascade model for fully developed turbulence. Phys. Rev. Lett., 59: 1424-1427.
26. Moon, F.C., 1987. Chaotic Vibrations. Wiley, New York, 309 pp.
27. National Research Council (NRC), 1991a. Opportunities in the Hydrologic Sciences. National Academy Press, Washington, DC, 348 pp.
28. National Research Council (NRC), 1991b. Spatial Statistics and Digital Image Analysis. National Academy Press, Washington, DC, 234 pp.
29. Puente, C.E., 1992. Multinomial multifractals, fractal interpolators, and the Gaussian distribution. Phys. Lett. A, 161: 441-447.
30. Puente, C.E., 1994. Deterministic fractal geometry and probability. Int. J. Bifurcations Chaos, 4(6): 1613-1629.
31. Puente, C.E. and Klebanoff, A., 1994. Gaussians everywhere. Fractals, 2(1): 65-79.
32. Puente, C.E., López, M.M., Pinzón, J.E. and Angulo, J.M., 1996. The Gaussian distribution revisited. Adv. Appl. Probability, 28(2): 500-524.
33. Rasband, S.N., 1990. Chaotic dynamics of Nonlinear Systems. Wiley, New York.
34. Sreenivasan, K.R., 1991. Fractals and multifractals in fluid turbulence. Annu. Rev. Fluid Mech., 23: 539-600.