Impulse response of a linear diffusion analogy model as a flood frequency probability density function;Utilisation de la réponse impulsionnelle du modèle analogue de diffusion linéaire comme fonction de densité de probabilité de la fréquence de crue

Hydrological Sciences Journal

Volumn 46, Issue 5, 2001, Pages 761-780

  Strupczewski, Witold g ^a   Singh, Vijay p ^b   Weglarczyk, Stanislaw ^c  

^a INSTITUTE OF GEOPHYSICS   (Poland)

^b LOUISIANA STATE UNIVERSITY   (United States)

^c CRACOW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Diffusion model; Flood frequency; Lognormal model; Maximum likelihood; Method of moments; Moments; Poland; Probability distribution; Quantiles; Standard error; Statistical tests; Time series

Indexed keywords

DIFFUSION IN LIQUIDS; FLOODS; IMPULSE RESPONSE; MAXIMUM LIKELIHOOD ESTIMATION; METHOD OF MOMENTS; PARAMETER ESTIMATION; PROBABILITY DISTRIBUTIONS;

FLOOD FREQUENCY ANALYSIS; LINEAR CONVECTIVE-DIFFUSION ANALOGY (LD) MODEL;

OPEN CHANNEL FLOW;

FLOOD FREQUENCY; FLOOD ROUTING; FLOW MODELING; OPEN CHANNEL FLOW; PROBABILITY DENSITY FUNCTION;

FLOOD FREQUENCY; FLOOD ROUTING; FLOW MODELING; OPEN CHANNEL FLOW; PEAK DISCHARGE; PROBABILITY DENSITY FUNCTION;

POLAND;

EID: 0035471324     PISSN: 02626667     EISSN: 21503435     Source Type: Journal    
DOI: 10.1080/02626660109492869     Document Type: Article

References (36)

1. Cox, D. R., and Miller, H. D., 1965. The Theory of Stochastic Processes. London, UK:Chapman and Hall.
2. Deymie, P., 1939. Propagation d'une intumescence allongée (Problem aval) Proc. 537–544. USA):Fifth Int. Congress on Applied Mechanics (New York.
3. Dooge, J. C. I., and Harley, B. M., 1967. Linear routing in uniform open channels. In:. Proc. Int. Hydrol. Symp. Fort Collins, Co., 1:57–63. (Sept. 1967), Paper no. 8
4. Dooge, J. C. I., 1973. Linear theory of hydrologic systems. Tech. Bull. no. 1468 Washington, USA:Agricultural Research Service.
5. Dooge, J. C. I., Napiorkowski, J. J., and Strupczewski, W. G., 1987a. The linear downstream response of a generalized uniform channel. Acta Geophys. Pol., 35:277–291.
6. Dooge, J. C. I., Napiorkowski, J. J., and Strupczewski, W. G., 1987b. Properties of the general downstream channel response. Acta Geophys. Pol., 35 405–418
7. Eagleson, P. S., 1972. Dynamics of flood frequency. Wat. Resour. Res., 8:878–898.
8. Fisz, M., 1963. “ Chapter 11 ”. In Probability Theory and Mathematical Statistics John Wiley and Sons Inc., New York, USA
9. Folks, J. L., and Chhikara, R. S., 1978. The inverse Gaussian distribution and its statistical application—a review. J. Roy. Statist. Soc., 40 (3):263–289. Ser. B
10. Hayami, S., 1951. On the propagation of flood waves. Kyoto Univ. Japan, Disaster Prevention Res. Inst. Bull, 1:1–16.
11. Interagency Advisory Committee on Water Data. 1982. Guidelines for Determining Flood Flow Frequency Bull. no. 17 B, US Dept of the Interior, US Geol. Survey, Office of Water Data Coordination, Reston, Virginia, USA
12. Johnston, N. L., and Kotz, S., 1970. Distribution in Statistics:Continuous Univariate Distributions 1. Boston, Massachusetts, USA:Houghton-Mifflin.
13. Kendall, M. G., and Stuart, A., 1969. The Advanced Theory of Statistics Vol. 1, Distribution Theory. Charles Griffin & Co. Ltd., London, UK
14. Kuczera, G., 1982. Robust flood frequency models. Wat. Resour. Res., 18 (2):315–324.
15. Landwehr, J. M., Matalas, N. C., and Wallis, J. R., 1980. Quantile estimation with more or less floodlike distributions. Wat. Resour. Res., 16 (1):547–555.
16. Lombard, F., 1988. Detecting change points by Fourier analysis. Technometrics, 30 (3):305–310.
17. Mann, H. B., 1945. Nonparametric tests against trend. Econometrics, 13:245–259.
18. Masse, P., 1939. “ Recherches sur la théorie des eaux courantes. ”. In Proc. Fifth Int. Congress on Appl. Mech. New York, USA
19. Mitosek, H. T., and Strupczewski, W. G., 1996. Can series of maximal annual flow discharges be treated as realizations of stationary process?. Acta Geophys. Pol., XLIV (1):61–77.
20. Moore, R. J., 1984. A dynamic model of basin sediment yield. Wat. Resour. Res., 20 (1):89–103.
21. Moore, R. J., and Clarke, R. T., 1983. A distributed function approach to modelling basin sediment yield. J. Hydrol., 65:239–257.
22. Pettitt, A. N., 1979. A nonparametric approach to the change-point problem. Appl. Statist, 28 (2):126–135.
23. Pilgrim, D. H., ed. 1987. Australian Rainfall and Runoff. A Guide to Flood Estimation Vol. I, Barton ACT, Australia:The Institute of Engineers.
24. Rao, A. R., and Hamed, K. H., 2000. Flood Frequency Analysis. Boca Raton, Florida, USA:CRC Press.
25. Robson, A., and Reed, D., 1999. Statistical Procedures for Flood Frequency Estimation. Vol. 3, Wallingford, Oxfordshire, UK:Centre for Ecology and Hydrology. Flood Estimation Handbook
26. Schaefer, M. G., 1998. General storm stochastic event flood model. Olympia, Washington, USA:Technical support manual. Tech. Report, MGS Engineering Consultants Inc.
27. Singh, V. P., 1996. Kinematic Wave Modeling in Water Resources:Surface Water Hydrology. New York, USA:John Wiley & Sons.
28. Singh, V. P., 1998. Entropy-Based Parameter Estimation in Hydrology. Dordrecht, The Netherlands:Kluwer.
29. Stedinger, J. R., Vogel, M. V., and Foufoula-Georgiou, E., 1993. “ Frequency analysis of extreme events. ”. In Handbook of Hydrology Edited by:Maidment, D. R., New York, USA:McGraw-Hill. Chapter 18
30. Strupczewski, W. G., and Dooge, J. C. I., 1996. Relationships between higher cumulants of channel response. II. Accuracy of linear interpolation. Hydrol Sci. J., 41 (1):61–73.
31. Strupczewski, W. G., and Napiorkowski, J. J., 1990. Linear flood routing model for rapid flow. Hydrol. Sci. J., 35 (1):149–164.
32. Strupczewski, W. G., Singh, V. P., and Mitosek, H. T., 2001. Non-stationary approach to at-site flood frequency modelling. III. Flood analysis of Polish rivers. J. Hydrol, 248:152–167.
33. Todorovic, P., 1982. “ Stochastic modeling of floods. ”. In Statistical Analysis of Rainfall and Runoff Edited by:Singh, V. P., 597–636. Littleton, Colorado, USA:Water Resources Publications.
34. Tweedie, M. C. K., and distributions, I., 1957. Ann. Math. Stat, 28:362–377.
35. Wallis, J. R., Matalas, N. C., and Slack, J. R., 1974. Just a moment. Wat. Resour. Res., 10 (2):211–219.
36. WMO. 1988. Analysing long time series of hydrological data with respect to climate variability. Project description, WCAP Report no. 3. WMO/TD no. 224. Geneva, Switzerland:World Meteorological Organization.