A multiplicative broken-line model for time series of mean areal rainfall

Water Resources Research

Volumn 36, Issue 8, 2000, Pages 2395-2399

  Seed, A W ^a   Draper, C ^b   Srikanthan, R ^a   Menabde, M ^c  

^a BUREAU OF METEOROLOGY   (Australia)

^b UNIVERSITY OF MELBOURNE   (Australia)

^c UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

MODELING; PRECIPITATION ASSESSMENT; RAINFALL; STORM; TIME SERIES;

RAIN; TIME SERIES;

CORRELATION FUNCTION; LINE MODELS; MODEL OUTPUTS; MODEL PARAMETERS; MULTIPLICATIVE CASCADES; OUTER SCALE; POWER-SPECTRA;

PROBABILITY DISTRIBUTIONS;

EID: 0033854078     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2000WR900117     Document Type: Article

References (16)

1. Brass, R. L., and I. Rodriguez-Iturbe, Random Functions and Hydrology, Addison-Wesley-Longman, Reading, Mass., 1985.
2. Cârsteanu, A., and E. Foufoula-Georgiou, Assessing dependence among weights in a multiplicative cascade model of temporal rainfall, J. Geophys. Res., 101 (D21), 26,363-26,370, 1996.
3. Foufoula-Georgiou, E., and W. Krajewski, Recent advances in rainfall modeling, estimation, and forecasting, Rev. Geophys., 33, 1125-1137, 1995.
4. Haberlandt, U., Stochastic rainfall synthesis using regionalized model parameters, J. Hydrol. Eng., 3(3), 160-168, 1998.
5. Lovejoy, S., and D. Schertzer, Multifractals and rain, in New Uncertainty Concepts in Hydrology and Hydrological Modeling, edited by A. W. Kundzevicz, pp. 61-103, Cambridge Univ. Press, New York, 1995.
6. Mandelbrot, B. M., Statistical models and turbulence. Lect. Notes Phys., 12, 333-351, 1972.
7. Matalas, N. C., Mathematical assessment of synthetic hydrology, Water Resour. Res., 3(4), 937-945, 1967.
8. Mejia, J. M., I. Rodriguez-Iturbe, and D. R. Dawdy, Streamflow simulation, 2, The broken line process as a potential model for hydrologic simulation, Water Resour. Res., 8(4), 931-941, 1972.
9. Menabde, M., Bounded lognormal cascades as quasi-multiaffine random processes. Nonlinear Processes Geophys., 35, 63-68, 1998.
10. Menabde, M., A. Seed, D. Harris, and G. Austin, Self-similar random fields and rainfall simulation, J. Geophys. Res., 102(D12), 13,509-13,515, 1997a.
11. Menabde, M., D. Harris, A. Seed, and G. Austin, Multiscaling properties of rainfall and bounded random cascades, Water Resour. Res., 33(12), 2823-2830, 1997b.
12. Menabde, M., A. Seed, D. Harris, and G. Austin, Multiaffine random field model of rainfall, Water Resour. Res., 35(2), 509-514, 1999.
13. Over, T. M., and V. K. Gupta, A space-time theory of mesoscale rainfall using random cascades, J. Geophys. Res., 101(D21), 26,319-26,331, 1996.
14. Rodriguez-Iturbe, I., D. R. Cox, and V. Isham, Some models for rainfall based on stochastic point processes, Proc. R. Soc. London, Ser. A, 410, 269-288, 1987a.
15. Rodriguez-Iturbe, I., B. Febres de Power, and J. B. Valdes, Rectangular pulse point process models for rainfall: Analysis of empirical data, J. Geophys. Res., 92(D8), 9645-9656, 1987b.
16. Verhoest, N., P. A. Troch, and F. P. De Troch, On the applicability of Bartlett-Lewis rectangular pulses models in modelling of design storms at a point, J. Hydrol., 202, 108-120, 1997.