Spatial regression models for extreme precipitation in Belgium

Water Resources Research

Volumn 48, Issue 9, 2012, Pages

  Van De Vyver, H ^a  

^a ROYAL METEOROLOGICAL INSTITUTE OF BELGIUM   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

BELGIUM; COVARIATES; DAILY RAINFALL; EXTREMAL INDEX; EXTREME EVENTS; EXTREME PRECIPITATION; GENERALIZED EXTREME VALUE; GEV DISTRIBUTIONS; MAXIMUM LIKELIHOOD ESTIMATION METHOD; MODEL QUALITIES; MULTI-SITE; PRECIPITATION EXTREMES; REGRESSION RELATIONSHIP; RETURN LEVEL; SHAPE PARAMETERS; SMOOTH FUNCTIONS; SPATIAL DEPENDENCE; SPATIAL REGRESSION MODEL;

ESTIMATION; MAXIMUM LIKELIHOOD ESTIMATION; PARAMETER ESTIMATION; REGRESSION ANALYSIS; STATISTICAL TESTS; UNCERTAINTY ANALYSIS;

RAIN;

CLIMATOLOGY; DATA SET; EXTREME EVENT; FLOOD CONTROL; FLOODING; MAXIMUM LIKELIHOOD ANALYSIS; NUMERICAL MODEL; PARAMETERIZATION; PRECIPITATION (CLIMATOLOGY); RAINFALL; REGRESSION ANALYSIS; SPATIAL ANALYSIS; UNCERTAINTY ANALYSIS;

BELGIUM;

EID: 84867229080     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2011WR011707     Document Type: Article

References (50)

1. Ailliot, P., C. Thompson, and P. Thomson (2011), Mixed methods for fitting the GEV distribution, Water Resour. Res., 47, W05551, doi:10.1029/2010WR009417.
2. Beirlant, J., Y. Goegebeur, J. Segers, and J. Teugels (2004), Statistics of Extremes, John Wiley, Hoboken, N. J.
3. Blanchet, J., and M. Lehning (2010), Mapping snow depth return levels: Smooth spatial modeling versus station interpolation, Hydrol. Earth Syst. Sci., 14, 2527-2544.
4. Blanchet, J., C. Marty, and M. Lehning (2009), Extreme value statistics of snowfall in the Swiss Alpine region, Water Resour. Res., 45, W05424, doi:10.1029/2009WR007916.
5. Buishand, A., and J. Wijngaard (2007), Statistiek van extreme neerslag voor korte neerslagduren, KNMI Tech. Rep. TR-295, K. Ned. Meteorol. Inst., De Bilt, Netherlands.
6. Buishand, T. A. (1983), Uitzonderlijk hoge neerslaghoeveelheden en de theorie van de extreme waarden, Cultuurtech. Tijdschr., 23, 9-20.
7. Buishand, T. A. (1984), Bivariate extreme-value data and the station-year method, J. Hydrol., 69, 77-95.
8. Buishand, T. A. (1991), Extreme rainfall estimation by combining data from several sites, Hydrol. Sci. J., 36, 345-365.
9. Buishand, T. A., and G. R. Demarée (1990), Estimation of the annual maximum distribution from samples of maxima in separate seasons, Stoch. Hydrol. Hydraul., 4, 89-103.
10. Buishand, T. A., R. Jilderda, and J. B. Wijngaard (2009), Regionale verschillen in extreme neerslag, KNMI Sci. Rep. WR 2009-01, K. Ned. Meteorol. Inst., De Bilt, Netherlands.
11. Coles, S. (2001), An Introduction to Statistical Modeling of Extreme Values, Springer-Verlag Heidelberg, Germany.
12. Cooley, D., D. Nychka, and P. Naveau (2007), Bayesian spatial modeling of extreme precipitation return levels. J. Am. Stat. Assoc., 102, 824-840.
13. Cunnane, C. (1973), A particular comparison of annual maxima and partial duration series methods of flood frequency prediction, J. Hydrol., 18, 257-271.
14. Davison, A. (2003), Statistical Models, Cambridge Univ. Press, Cambridge, U. K.
15. Delbeke, L. (2001), Extreme neerslag in Vlaanderen: Nieuwe IDF-curven gebaseerd op langdurige meetreeksen van neerslag, 123 pp., Minist. van de Vlaamse Gemeenschap, Afdeling Water, Brussels.
16. Demarée, G. R. (1985), Intensity-duration-frequency relationship of point precipitation at Uccle: Reference period 1934-1983, Publ. Inst. R. Meteorol. Belg., Ser. A, 116, 52 pp.
17. Demarée, G. R. (2003), Le pluviographe centenaire du plateau d'Uccle: Son histoire, ses données et ses applications, Houille Blanche, 4, 1-8.
18. Dupriez, G. L., and G. R. Demarée (1988), Contribution a l'étude des relations intensité-durée-fréquence des précipitations. Totaux pluviométri-ques sur des périodes continues de 1 á 30 jours. I.-Analyse de 11 séries pluviométriques de plus de 80 ans, Misc. Ser. A, 8, 154 pp., R. Meteorol. Inst. of Belg., Brussels.
19. Dupriez, G. L., and G. R. Demarée (1989), Contribution á l'étude des relations intensité-durée-fréquence des précipitations. Totaux pluviométriques sur des périodes continues de 1 30 jours. II.-Analyse des séries pluviométriques d'au moins 30 ans, Misc. Ser. A, 8, 53 pp., R. Meteorol. Inst. of Belg., Brussels.
20. El Adlouni, S., T. B. M. J. Ouarda, X. Zhang, R. Roy, and B. Bobeé (2007), Generalized maximum likelihood estimators for the nonstationary generalized extreme value model, Water Resour. Res., 43, W03410, doi:10.1029/2005WR004545. (Pubitemid 46682780)
21. Embrechts, P., C. Klüppelberg, and T. Mikosch (1997), Modelling Extremal Events for Insurance and Finance, Springer-Verlag, Berlin.
22. Faulkner, D. S., and C. Prudhomme (2007), Mapping of an index of extreme rainfall across the UK, Hydrol. Earth Syst. Sci., 2, 183-194.
23. Gellens, D. (1995), Extreme precipitation of December 1993 and January 1995 in Belgium: A homogenization procedure for estimating fractiles corresponding to long return periods, Phys. Chem. Earth, 20, 451-454. (Pubitemid 27457096)
24. Gellens, D. (2000), Trend and correlation analysis of k-day extreme precipitation over Belgium, Theor. Appl. Climatol, 66, 117-129. (Pubitemid 30464323)
25. Gellens, D. (2002), Combining regional approach and data extension procedure for assessing GEV distribution of extreme precipitation in Belgium, J. Hydrol, 268, 113-126. (Pubitemid 35307225)
26. Gellens, D. (2003), Etude des précipitations extrêmes\- Etablissement des fractiles et des périodes de retour dévénements pluviométriques, PhD thesis, 242 pp., Univ. Libre de Bruxelles, Brussels.
27. Hosking, J. R. M., and J. R. Wallis (1997), Regional Frequency Analysis: An Approach Based on L-Moments, Cambridge Univ. Press, Cambridge, U. K.
28. Jenkinson, A. F. (1955), The frequency distribution of the annual maximum (or minimum) values of meteorological elements, Q. J. R. Meteorol. Soc, 81, 1 58-171.
29. Katz, R. W., M. B. Parlange, and P. Naveau (2002), Statistics of extremes in hydrology, Adv. Water Resour., 25, 1287-1304. (Pubitemid 35465151)
30. Leadbetter, M., G. Lindgren, and H. Rootzén (1983), Extremes and Related Properties of Random Sequences and Processes, Springer-Verlag, New York.
31. Northrop, P. J., and P. Jonathan (2011), Threshold modelling of spatially dependent non-stationary extremes with application to hurricane-induced wave heights, Environmetrics, 22(7), 799-809, doi:10.1002/env.1106.
32. Ntegeka, V., and P. Willems (2008), Trends and multidecadal oscillations in rainfall extremes, based on a more than 100 year time series of 10 min rainfall intensities at Uccle, Belgium, Water Resour. Res., 44, W07402, doi:10.1029/2007WR006471.
33. Overeem, A., T. A. Buishand, and I. Holleman (2008), Rainfall depth-duration-frequency curves and their uncertainties, J. Hydrol., 348, 124-134. (Pubitemid 351483862)
34. Overeem, A., T. A. Buishand, and I. Holleman (2009), Extreme rainfall analysis and estimation of depth-duration-frequency curves using weather radar, Water Resour. Res., 45, W10424, doi:10.1029/2009WR007869.
35. Ribatet, M. (2011), SpatialExtremes: An R package for modelling spatial extremes, Inst. of Math. and Modell., Univ. of Montpellier II, Montpellier, France. [Available at http://cran.r-project.org/web/packages/SpatialExtremes/.]
36. Robinson, M. E., and J. A. Tawn (2000), Extremal analysis of processes sampled at different frequencies, J. R. Statist. Soc., Ser. B, 62, 117-135.
37. Smith, R. L. (1985), Maximum likelihood estimation in a class of nonregu-lar cases, Biometrika, 72, 67-90.
38. Smith, R. L. (1989), Extreme value analysis of environmental time series: An application to trend detection in ground-level ozone (with discussion), Stat. Sci., 4, 367-393.
39. Schlater, M. (2002), Models for stationary max-stable random fields, Extremes, 5, 33-44.
40. Sneyers, R. (1960), On a special distribution of maximum values, Mon. Weather Rev., 88, 66-69.
41. Sneyers, R. (1975), Sur l'analyse statistique des series d'observations, WMO Tech. Note 143, 192 pp., World Meteorol. Org., Geneva, Switzerland.
42. Sneyers, R., M. Vandiepenbeeck, and R. Vanlierde (1989), Principal component analysis of Belgian rainfall, Theor. Appl. Climatol., 39, 199-204.
43. van Montfort, M. A. J. (1990), Sliding maxima, J. Hydrol., 118, 77-85.
44. van Montfort, M. A. J. (1997), Concomitants of the Hershfield factor, J. Hydrol., 194, 357-365. (Pubitemid 27301619)
45. Vannitsem, S., and P. Naveau (2007), Spatial dependences among precipitation maxima over Belgium, Nonlinear Processes Geophys., 14, 621-630. (Pubitemid 47425945)
46. Varin, C., and P. Vidoni (2005), A note on composite likelihood inference and model selection, Biometrika, 92, 519-528. (Pubitemid 41241590)
47. Weisse, A. K., and P. Bois (2001), Topographic effects on statistical characteristics of heavy rainfall and mapping in the Frech Alps, J. Appl. Meteorol., 40, 720-740. (Pubitemid 32489571)
48. Wijngaard, J. B., A. M. G. Klein Tank, and G. P. Können (2003), Homogeneity of the 20th century European daily temperature and precipitation series, Int. J. Climatol., 23, 679-692. (Pubitemid 36720466)
49. Willems, P. (2000), Compound intensity/duration/frequency-relationships of extreme precipitation for two seasons and two storm types, J. Hydrol., 233, 189-205. (Pubitemid 30388026)
50. Witter, J. V. (1984), Heterogeneity of Dutch rainfall, PhD thesis, 204 pp., Wageningen Univ., Wageningen, Netherlands.