A preliminary investigation on the scaling behaviour of rainfall observed in two different climates;Etude préliminaire de l'invariance d'échelle des précipitations dans deux contextes climatiques différents

Hydrological Sciences Journal

Volumn 45, Issue 2, 2000, Pages 203-219

  Sivakumar, B ^a  

^a UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLIMATOLOGY; FRACTALS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; RAIN GAGES; RIVERS;

FRACTAL THEORY; RAINFALL DATA;

RAIN;

CLIMATE EFFECT; PRECIPITATION ASSESSMENT; RAINFALL; SCALE EFFECT;

LEAF RIVER BASIN; MISSISSIPPI; SINGAPORE; UNITED STATES;

EID: 0034099369     PISSN: 02626667     EISSN: 21503435     Source Type: Journal    
DOI: 10.1080/02626660009492320     Document Type: Article

References (19)

1. Hentschel, H. G. E., and Procaccia, I., 1983. Relative diffusion in turbulent media:the fractal dimension of clouds. Phys. Rev., A29:1461–1470.
2. Ladoy, P., Lovejoy, S., and Schertzer, D., 1991. “ Extreme variability of climatological data:scaling and intermittency. ”. In Non-linear Variability in Geophysics Edited by:Schertzer, D., and Lovejoy, S., 241–250. Norwell, Massachusetts, USA:Kjuwer Academic.
3. Lovejoy, S., Schertzer, D., and Tsonis, A. A., 1987. Functional box-counting and multiple elliptical dimensions of rain. Science, 235:1036–1038.
4. Lovejoy, S., and Schertzer, D., 1990. Multifractals, universality classes and satellite and radar measurements of clouds and rain fields. J. Geophys. Res., 95:2021–2034. (D3)
5. Lovejoy, S., and Schertzer, D., 1995. “ Multifractals and rain. ”. In New Uncertainty Concepts in Hydrology and Hydrological Modeling Edited by:Kundzewicz, Z. W., 61–103. Cambridge, UK:Cambridge University Press.
6. Olsson, J., 1996. Validity and applicability of a scale-independent, multifractal relationship for rainfall. Atmosph. Res., 42:53–65.
7. Olsson, J., Niemczynowicz, J., Berndtsson, R., and Larson, M., 1992. An analysis of the rainfall time structure by box counting—some practical implications. J. Hydrol., 137:261–277.
8. Olsson, J., Niemczynowicz, J., and Berndtsson, R., 1993. Fractal analysis of high-resolution rainfall time series. J. Geophys. Res., 98:23265–23274. (D12)
9. Olsson, J., and Niemczynowicz, J., 1994. On the possible use of fractal theory in rainfall applications. Wat. Sci. Tech., 29 (1/2):47–52.
10. Olsson, J., and Niemczynowicz, J., 1996. Multifractal analysis of daily spatial rainfall distributions. J. Hydrol., 187:29–43.
11. Over, T. M., and Gupta, V. K., 1994. Statistical analysis of mesoscale rainfall:dependence of a random cascade generator on large-scaling forcing. J. Clim. Appl. Met., 33:1526–1542.
12. Schertzer, D., and Lovejoy, S., 1987. Physical modeling and analysis of rain and clouds by anisotropic scaling multiplicative processes. J. Geophys. Res., 92:9693–9714. (D8)
13. Singapore Meteorological Service. 1995. Singapore Meteorological Service Report Singapore
14. Sivakumar, B., Liong, S.-Y., and Liaw, C.-Y., 1998. Evidence of chaotic behavior in Singapore rainfall. J. Am. Wat. Resour. Ass., 34 (2):301–310.
15. Sivakumar, B., Liong, S.-Y., Liaw, C.-Y., and Phoon, K.-K., 1999a. Singapore rainfall behavior:chaotic?. J. Hydrol. Engng ASCE, 4 (1):38–18.
16. Sivakumar, B., Phoon, K.-K., Liong, S.-Y., and Liaw, C.-Y., 1999b. Comment on “Nonlinear analysis of riverflow time series by Amilcare Porporato and Luca Ridolfi”. Wat. Resour. Res., 35 (3):895–897.
17. Sivakumar, B., Phoon, K.-K., Liong, S.-Y., and Liaw, C.-Y., 1999c. A systematic approach to noise reduction in observed chaotic time series. J. Hydrol., 219 (3/4):103–135.
18. Svensson, C., Olsson, J., and Berndtsson, R., 1996. Multifractal properties of daily rainfall in two different climates. Wat. Resour. Res., 32 (8):2463–2472.
19. Tessier, Y., Lovejoy, S., Hubert, P., Schertzer, D., and Pecknold, S., 1996. Multifractal analysis and modeling of rainfall and river flows and scaling, causal transfer functions. J. Geophys. Res., 101:26427–26440. (D21)