A deterministic geometric representation of temporal rainfall: Sensitivity analysis for a storm in Boston

Journal of Hydrology

Volumn 269, Issue 3-4, 2002, Pages 224-235

  Obregon N ^a   Sivakumar, B ^b   Puente, C E ^b  

^a PONTIFICIA UNIVERSIDAD JAVERIANA   (Colombia)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Chaos; Fractals; Modeling; Multifractals; Rainfall; Sensitivity analysis

Indexed keywords

FRACTALS; GENETIC ALGORITHMS; INTERPOLATION; INVERSE PROBLEMS; RAIN; ROBUSTNESS (CONTROL SYSTEMS); SENSITIVITY ANALYSIS; STORMS;

TIME SERIES;

HYDROLOGY;

MODELING; PRECIPITATION ASSESSMENT; SENSITIVITY ANALYSIS; STORM; TIME SERIES ANALYSIS;

UNITED STATES;

EID: 0037114925     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1694(02)00282-2     Document Type: Article

References (19)

1. Barnsley, M.F., 1988. Fractals Everywhere, Academic Press, San Diego, CA.
2. Berndtsson, R., Jinno, K., Kawamura, A., Olsson, J., Xu, S., 1994. Dynamical systems theory applied to long-term temperature and precipitation time series. Trends Hydrol. 1, 291-297.
3. Duan, Q., Sorooshian, S., Gupta, V., 1992. Effective and efficient global optimization for conceptual rainfall-runoff models. Water Resour. Res. 28 (4), 1015-1031.
4. Feder, J., 1988. Fractals, Plenum Press, New York.
5. Lorenz, E.N., 1963. Deterministic nonperiodic flow. J. Atmos. Sci. 20, 130-141
6. Lovejoy, S., Schertzer, D., 1990. Multifractals, universality classes and satellite and radar measurements of cloud and rain fields. J. Geophys. Res. 95, 2021-2034.
7. Meneveau, C., Sreenivasan, K.R., 1987. Simple multifractal cascade model for fully developed turbulence. Phys. Rev. Lett. 59, 1424-1427.
8. Obregón, N., Puente, C.E., Sivakumar, B., 2002. Modeling high resolution rain rates via a deterministic fractal-multifractal approach. Fractals 10 (3), 387-394.
9. Otten, R.H.J.M., van Ginneken, L.P.P.P., 1989. The Annealing Algorithm, Kluwer Academic, Norwell, MA.
10. Press, W.H., Flannery, B.P., Teukolsky, S.A., Vetterling, W.T., 1989. Numerical Recipes, Cambridge University Press, New York.
11. Puente, C.E., 1992. Multinomial multifractals, fractal interpolators, and the Gaussian distribution. Phys. Lett. A 161, 441-447.
12. Puente, C.E., 1994. Deterministic fractal geometry and probability. Int. J. Bifurcations Chaos 4 (6), 1613-1629.
13. Puente, C.E., Obregón, N., 1996. A deterministic geometric representation of temporal rainfall: Results for a storm in Boston. Water Resour. Res. 32 (9), 2825-2839.
14. Rodríguez-Iturbe, I., De Power, F.B., Sharifi, M.B., Georgakakos, K.P., 1989. Chaos in rainfall. Water Resour. Res. 25 (7), 1667-1675.
15. Sivakumar, B., Liong, S.Y., Liaw, C.Y., Phoon, K.K., 1999. Singapore rainfall behavior: Chaotic? J. Hydrol. Engng, ASCE 4 (1), 38-48.
16. Sivakumar, B., Sorooshian, S., Gupta, H.V., Gao, X., 2001. A chaotic approach to rainfall disaggregation. Water Resour. Res. 37 (1), 61-72.
17. Sreenivasan, K.R., 1991. Fractals and multifractals in fluid turbulence. Annu. Rev. Fluid Mech. 23, 539-600.
18. Tessier, Y., Lovejoy, S., Schertzer, D., 1993. Universal multifractals: Theory and observations for rain and clouds. J. Appl. Meteorol. 2, 223-250.
19. Zhou, J.L., Tits, A.L., 1993. Nonmonotone line search for minimax problems. J. Opt. Theory Appl. 76, 455-476.