Downscaling of rain gauge time series by multiplicative beta cascade

Journal of Geophysical Research Atmospheres

Volumn 112, Issue 9, 2007, Pages

  Paulson, Kevin S ^a   Baxter, Paul D ^b  

^a UNIVERSITY OF HULL   (United Kingdom)

^b UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRATION; PARAMETER ESTIMATION; RAIN; RAIN GAGES; STOCHASTIC MODELS; TIME SERIES ANALYSIS;

ALGORITHM; DOWNSCALING; ESTIMATION METHOD; RAINGAUGE; STOCHASTICITY; TIME SERIES;

EURASIA; EUROPE; UNITED KINGDOM; WESTERN EUROPE;

EID: 34347341848     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/2006JD007333     Document Type: Article

References (30)

1. Atlas, D., and C. R. Williams (2003), The anatomy of a continental tropical convective storm, J. Atmos. Sci., 60(1), 3-15.
2. Bec, J., A. Celani, M. Cencini, and S. Musacchio (2005), Clustering and collisions of heavy particles in random smooth flows, Phys. Fluids, 17(7), 073301.
3. Celani, A., G. Falkovich, A. Mazzino, and A. Seminara (2005), Droplet condensation in turbulent flows, Europhys. Lett., 70(6), 775-781.
4. Chandler, R. E., and H. H. Wheater (1998a), Climate change detection using generalised linear models for rainfall - A case study from the west of Ireland. I. Preliminary analysis and modelling of rain occurrence, Tech. Rep. 194, Dep. of Stat. Sci., Univ. College London, London. (Available at http://www.ucl.ac.uk/Stats/research/ Resrprts/abs98.html.)
5. Chandler, R. E., and H. Wheater (1998b), Climate change detection using generalised linear models for rainfall - A case study from the west of Ireland. II. Modelling of rainfall amounts on wet days, Tech. Rep. 195, Dep. of Stat. Sci., Univ. College London, London. (Available at http://www.ucl.ac.uk/ststs/research/abstracts.html.)
6. Deidda, R. (1999), Multifractal analysis and simulation of rainfall fields in space, Phys. Chem. Earth, Part B, 24(1-2), 73-78.
7. Deidda, R. (2000), Rainfall downscaling in a space-time multifractal framework, Water Resour. Res., 36(7), 1779-1794.
8. Falkovich, G., A. Weinberg, P. Denissenko, and S. Lukaschuk (2005), Floater clustering in a standing wave, Nature, 435(7045), 1045-1046.
9. Feder, J. (1988), Fractals, Springer, New York.
10. Foufoula-Georgiou, E. (1998), On scaling theories of space-time rainfall: Some useful results and open problems, in Stochastic Methods in Hydrology, edited by O. Barndorff-Nielsen et al., pp. 25-72, World Sci., Hackensack, N. J.
11. Gupta, V. K., and E. Waymire (1993), A statistical analysis of mesoscale rainfall as a random cascade, J. Appl. Meteorol., 32, 251-267.
12. Harrold, T. I., A. Sharma, and S. J. Sheather (2003), A nonparametric model for stochastic generation of daily rainfall amounts, Water Resour. Res., 39(12), 1343, doi:10.1029/2003WR002570.
13. Kolmogorov, A. N. (1941), The local structure of turbulence in incompressible viscous fluid for very large Reynolds number, Dokl. Akad. Nauk SSSR, 30, 9-13.
14. Kolmogorov, A. N. (1991), The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers, Proc. R. Soc. London, Ser. A, 434, 9-13.
15. Lovejoy, S., and D. Schertzer (1992), Multifractals and rain, in New Uncertainty Concepts in Hydrology and Water Resources, Int. Hydrol. Ser., edited by Z. W. Kunzewicz, Cambridge Univ. Press, New York.
16. Nelder, J., and R. Mead (1965), A simplex method for function minimization, Comput. J., 4, 308-313.
17. Ossiander, M., and E. Waymire (2000), Statistical estimation for multiplicative cascades, Ann. Stat., 28(6), 1533-1560.
18. Paulson, K. S. (2002), Spatial-temporal statistics of rainrate random fields, Radio Sci., 37(5), 1088, doi:10.1029/2001RS002527.
19. Paulson, K. S. (2004), Fractal interpolation of rain rate time series, J. Geophys. Res., 109, D22102, doi:10.1029/2004JD004717.
20. Peters, O., C. Hertlein, and K. Christensen (2002), A complexity view of rainfall, Phys. Res. Lett., 88(1), 018701-1.
21. Schertzer, D., and S. Lovejoy (1995), From scalar cascades to Lie cascades: Joint multifractal analysis of rain and cloud processes, in Space/Time Variability and Interdependence for Various Hydrological Processes, edited by R. A. Feddes, pp. 153-173, Cambridge Univ. Press, New York.
22. Tessier, Y., S. Lovejoy, and D. Schertzer (1993), Universal multifractals: Theory and observations for rain and clouds, J. Appl. Meteorol., 32(2), 223-250.
23. Veneziano, D. (2002), Iterated random pulse processes and their spectral properties, Fractals, 10(1), 1-11.
24. Veneziano, D., and V. Iacobellis (2002), Multiscaling pulse representation of temporal rainfall, Water Resour. Res., 38(8), 1138, doi:10.1029/2001WR000522.
25. Veneziano, D., P. L. Furcolo, and V. Iacobellis (2002), Multifractality of iterated pulse processes with pulse amplitudes generated by a random cascade, Fractals, 10(2), 209-222.
26. Veneziano, D., R. L. Bras, and J. D. Niemann (1996), Nonlinearity and self-similarity of rainfall in time and a stochastic model, J. Geophys. Res., 101(D21), 26,371-26,392.
27. Veneziano, D., P. Furcolo, and V. Iacobellis (2006), Imperfect scaling of time and space-time rainfall, J. Hydrol., 322(1-4), 105-119.
28. Venugopal, V., S. G. Roux, E. Foufoula-Georgiou, and A. Arneodo (2006), Scaling behavior of high resolution temporal rainfall: New insights from a wavelet-based cumulant analysis, Phys. Lett. A, 348(3-6), 335-345.
29. Voss, R. F. (1985), Random fractal forgeries, in Fundamental Algorithms for Computer Graphics, NATO ASI Ser. Ser. F, vol. 17, edited by R. A. Earnshaw, Springer, New York.
30. Wheater, H., V. Isham, C. Onof, and R. E. Chandler (2000), Generation of spatially consistent rainfall data, report to the Ministry of Agriculture, Fisheries and Food, Tech. Rep. 205, Dep. of Stat. Sci., Univ. College London, London. (Available at http://www.ucl.ac.uk/ Stats/research/Resrprts/abs00.html.)