A regional comparative analysis of empirical and theoretical flood peak-volume relationships

Journal of Hydrology and Hydromechanics

Volumn 64, Issue 4, 2016, Pages 367-381

  Szolgay, Ján ^a   Gaál, Ladislav ^a,b   Bacigál, Tomáš ^a   Kohnová, Silvia ^a   Hlavčová, Kamila ^a   Výleta, Roman ^a   Parajka, Juraj ^c   Blöschl, Günter ^c  

^a SLOVAK UNIVERSITY OF TECHNOLOGY   (Slovakia)

^b spol s ro   (Slovakia)

^c VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Comparative hydrology; Copulas; Flood peaks; Flood types; Flood volumes; Goodness of fit; Regionalisation

Indexed keywords

CATCHMENTS; FLOOD CONTROL; MULTIVARIANT ANALYSIS; RAIN; RUNOFF; SNOW MELTING SYSTEMS; STATISTICS;

COMPARATIVE HYDROLOGIES; COPULAS; FLOOD PEAK; GOODNESS OF FIT; REGIONALISATION;

FLOODS;

CATCHMENT; COMPARATIVE STUDY; EMPIRICAL ANALYSIS; FLOOD; HYDROLOGY; PEAK FLOW; REGIONAL PATTERN; REGIONALIZATION; RUNOFF; SNOWMELT; STATISTICAL ANALYSIS; THEORETICAL STUDY; VOLUME;

AUSTRIA;

EID: 84995684328     PISSN: 0042790X     EISSN: 13384333     Source Type: Journal    
DOI: 10.1515/johh-2016-0042     Document Type: Article

References (52)

1. AghaKouchak, A., 2014. Entropy-copula in hydrology and climatology. Journal of Hydrometeorology, 15, 2176-2189. doi:10. 1175/JHM-D-13-0207. 1.
2. Baová Mitková, V., 2012. Vzájomný vzah objemu a džky trvania povodových vn. [The relationship between volume of the flood wave and the time duration of flood events]. Acta Hydrologica Slovaca, 13, 1, 165-174. (In Slovak.)
3. Baová Mitková, V., Halmová, D., 2014. Joint modeling of flood peak discharges, volume and duration: a case study of the Danube River in Bratislava. Journal of Hydrology and Hydromechanics, 62, 3, 186-196. doi:10. 2478/johh-2014-0026.
4. Ben-Aissia, M.-A., Chebana, F., Ouarda, T. B. M. J., Roy, L., Desrochers, G., Chartier, I., Robichaud, É., 2012. Multivariate analysis of flood characteristics in a climate change context of the watershed of the Baskatong reservoir, Province of Québec, Canada. Hydrological Processes, 26, 130-142. doi:10. 1002/hyp. 8117.
5. Ben Aissia, M.-A., Chebana, F., Ouarda, T. B. M. J., Bruneau, P., Barbet, M., 2015. Bivariate index-flood model: case study in Québec, Canada. Hydrological Sciences Journal, 60, 2, 247-268. doi:10. 1080/02626667. 2013. 875177.
6. Bezak, N., Mikoš, M., Šraj, M., 2014. Trivariate frequency analyses of peak discharge, hydrograph volume and suspended sediment concentration data using copulas. Water Resources Management, 28, 8, 2195-2212. doi:10. 1007/s11269-014-0606-2.
7. Blöschl, G., Viglione, A., Merz, R., Parajka, J., Salinas, J. L., Schöner, W., 2011. Auswirkungen des Klimawandels auf Hochwasser und Niederwasser. [Climate impacts on floods and low flows]. Österreichische Wasser-und Abfallwirtschaft, 63, 1, 21-30. doi:10. 1007/s00506-010-0269-z. (In German.)
8. Chapman, T. G., Maxwell, A. I., 1996. Baseflow separation-comparison of numerical methods with tracer experiments. In: 23rd Hydrology and Water Resources Symposium: Water and the Environment, Natl. Conf. Publ., 96/05, Inst. of Eng., Barton, A. C. T., Australia, pp. 539-545.
9. Chebana, F., Ouarda, T. B. M. J., 2007. Multivariate L-moment homogeneity test. Water Resources Research, 43, W08406. doi:10. 1029/2006WR005639.
10. Chebana, F., Ouarda, T. B. M. J., 2009. Index flood-based multivariate regional frequency analysis. Water Resources Research, 45, W10435. doi 10. 1029/2008WR007490.
11. Chowdhary, H., Escobar, L. A., Singh, V. P., 2011. Identification of suitable copulas for bivariate frequency analysis of flood peak and flood volume data. Hydrology Research, 42, 2-3, 193-216. doi:10. 2166/nh. 2011. 065.
12. Dalrymple, T., 1960. Flood frequency analysis. U. S. Geological Survey Water-Supply Paper, 1543-A, 80 p.
13. Favre, A.-C., El Adlouni, S., Perreault, L., Thiémonge, N., Bobée, B., 2004. Multivariate hydrological frequency analysis using copulas. Water Resources Research, 40, W01101. doi:10. 1029/2003WR002456.
14. Gaál, L., Szolgay, J., Kohnová, S., Parajka, J., Merz, R., Viglione, A., Blöschl, G., 2012. Flood timescales: Understanding the interplay of climate and catchment processes through comparative hydrology. Water Resources Research, 48, 4, W04511. doi:10. 1029/2011WR011509.
15. Gaál, L., Kohnová, S., Szolgay, J., 2013. Regional flood frequency analysis in Slovakia: Which pooling approach suits better In: Klijn, F., Schweckendiek, T. (Eds.): Comprehensive Flood Risk Management: Research for Policy and Practice. London, CRC Press/Balkema, pp. 27-30.
16. Gaál, L., Szolgay, J., Kohnová, S., Hlavová, K., Parajka, J., Viglione, A., Merz, R., Blöschl, G., 2014. Dependence between flood peaks and volumes-A case study on climate and hydrological controls. Hydrological Sciences Journal, 60, 6, 968-984. doi:10. 1080/02626667. 2014. 951361.
17. Ganguli, P., Reddy, M. J., 2013. Probabilistic assessment of flood risks using trivariate copulas. Theoretical and Applied Climatology, 111, 341-360. doi:10. 1007/s00704-012-0664-4.
18. Genest, C., Favre, A.-C., 2007. Everything you always wanted to know about copula modeling but were afraid to ask. Journal of Hydrologic Engineering, 12, 4, 47-368. doi: 10. 1061/(ASCE)1084-0699(2007)12:4(347).
19. Genest, C., Rémillard, B., Beaudoin, D., 2009. Goodness-of-fit tests for copulas: A review and a power study. Insurance: Mathematics and Economics, 44, 199-213. doi:10. 1016/j. insmatheco. 2007. 10. 005.
20. Gräler, B., van den Berg, M. J., Vandenberghe, S., Petroselli, A., Grimaldi, S., De Baets, B., Verhoest, N. E. C., 2013. Multivariate return periods in hydrology: a critical and practical review focusing on synthetic design hydrograph estimation. Hydrology and Earth System Sciences, 17, 1281-1296. doi:10. 5194/hess-17-1281-2013.
21. Grimaldi, S., Serinaldi, F., 2006. Asymmetric copula in multivariate flood frequency analysis. Advances in Water Resources, 29, 8, 1155-1167. doi: 10. 1016/j. advwatres. 2005. 09. 005.
22. Grimaldi, S., Petroselli, A., Salvadori, G., De Michele, C., 2016. Catchment compatibility via copulas: A nonparametric study of the dependence structures of hydrological responses. Advances in Water Resources, 90, 116-133. doi:10. 1016/j. advwatres. 2016. 02. 003.
23. Hosking, J. R. M., Wallis, J. R., 1997. Regional Frequency Analysis: An Approach Based on L-moments, Cambridge University Press, Cambridge, UK.
24. IH, 1999. Flood Estimation Handbook. Institute of Hydrology: Wallingford, UK.
25. Karmakar, S., Simonovic, S. P., 2009. Bivariate flood frequency analysis. Part 2: A copula-based approach with mixed marginal distributions. Journal of Flood Risk Management, 2, 32-44. doi:10. 1111/j. 1753-318X. 2009. 01020. x.
26. Kendall, M. G., 1955. Rank Correlation Methods. Hafner Publishing, New York.
27. Kohnová, S., Szolgay, J., 1999. Regional estimation of design summer flood discharge in small catchments of northern Slovakia. In: Gottschalk, L., Olivry, C., Reed, D., Rosbjerg, D. (Eds.): Hydrological Extremes: Understanding, Predicting, Mitigating. IAHS publ. 255, IAHS Press, Wallingford, pp. 265-268.
28. Ljung, G. M., Box, G. E. P., 1978. On a measure of lack of fit in time series models. Biometrika, 65, 297-303. doi:10. 1093/biomet/65. 2. 297.
29. Merz, R., Blöschl, G., 2003. A process typology of regional floods. Water Resources Research, 39, 12, 1340-1347. doi:10. 1029/2002WR001952.
30. Merz, R., Blöschl, G., 2009. A regional analysis of event runoff coefficients with respect to climate and catchment characteristics in Austria. Water Resources Research, 45, 1, W01415. doi:10. 1029/2008WR007163.
31. Merz, R., Blöschl, G., Parajka, J., 2006. Spatio-temporal variability of event runoff coefficients. Journal of Hydrology, 331, 3-4, 591-604. doi:10. 1016/j. jhydrol. 2006. 06. 008.
32. Nelsen, R. B., 2006. An Introduction to Copulas. 2nd edition. Springer-Verlag, New York.
33. Parajka, J., Merz, R., Blöschl, G., 2007. Uncertainty and multiple objective calibration in regional water balance modelling-Case study in 320 Austrian catchments. Hydrological Processes, 21, 435-446. doi:10. 1002/hyp. 6253.
34. Parajka, J., Kohnová, S., Bálint, G., Barbuc, M., Borga, M., Claps, P., Cheval, S., Dumitrescu, A., Gaume, E., Hlavová, K., Merz, R., Pfaundler, M., Stancalie, G., Szolgay, J., Blöschl, G., 2010. Seasonal characteristics of flood regimes across the Alpine-Carpathian range. Journal of Hydrology, 394, 1-2, 78-89. doi:10. 1016/j. jhydrol. 2010. 05. 015.
35. Pham, M. T., Vernieuwe, H., Baets, B. D., Willems, B., Verhoest, N. E. C., 2015. Stochastic simulation of precipitationconsistent daily reference evapotranspiration using vine copulas. Stochastic Environmental Research and Risk Assessment, 18 p. doi: 10. 1007/s00477-015-1181-7.
36. Poulin, A., Huard, D., Favre, A.-C., Pugin, S., 2007. Importance of tail dependence in bivariate frequency analysis. Journal of Hydrologic Engineering, 12, 4, 394-403. doi:10. 1061/(ASCE)1084-0699(2007)12:4(394).
37. Reddy, M. J., Ganguli, P., 2012. Bivariate flood frequency analysis of Upper Godavari River flows using Archimedean copulas. Water Resources Management, 26, 14, 3995-4018. doi:10. 1007/s11269-012-0124-z.
38. Remillard, B., Plante, J.-F., 2012. TwoCop: Nonparametric test of equality between two copulas. R package version 1. 0 (19-10-2012). http://cran. r-project. org/web/packages/TwoCop.
39. Remillard, B., Scaillet, O., 2009. Testing for equality between two copulas. Journal of Multivariate Analysis, 100, 377-386. doi:10. 1016/j. jmva. 2008. 05. 004.
40. Requena, A. I., Chebana, F., Mediero, L., 2016. A complete procedure for multivariate index-flood model application. Journal of Hydrology, 535, 559-580. doi:10. 1016/j. jhydrol. 2016. 02. 004.
41. Rosbjerg, D., Blöschl, G., Burn, D. H., Castellarin, A., Croke, B., DiBaldassarre, G., Iacobellis, V., Kjeldsen, T. R., Kuczera, G., Merz, R., Montanari, A., Morris, D., Ouarda, T. B. M. J., Ren, L., Rogger, M., Salinas, J. L., Toth, E., Viglione, A., 2013. Prediction of floods in ungauged basins. Chapter 9. In: Blöschl, G., Sivapalan, M., Wagener, T., Viglione, A., Savenije, H. (Eds.): Runoff Prediction in Ungauged Basins-Synthesis across Processes, Places and Scales. Cambridge University Press, Cambridge, UK, pp. 135-162.
42. Salinas, J. L., Castellarin, A., Viglione, A., Kohnová, S., Kjeldsen, T. R., 2014. Regional parent flood frequency distributions in Europe-Part 1: Is the GEV model suitable as a pan-European parent? Hydrology and Earth System Sciences, 18, 4381-4389. doi:10. 5194/hess-18-4381-2014.
43. Serinaldi, F., 2013. An uncertain journey around the tails of multivariate hydrological distributions. Water Resources Research, 49, 10, 6527-6547. doi:10. 1002/wrcr. 20531.
44. Serinaldi, F., 2015. Can we tell more than we can know? The limits of bivariate drought analysis in the United States. Stochastic Environmental Research and Risk Assessment, 14 p. doi:10. 1007/s00477-015-1124-3.
45. Serinaldi, F., Kilsby, C. G., 2013. The intrinsic dependence structure of peak, volume, duration, and average intensity of hyetographs and hydrographs. Water Resources Research, 49, 3423-3442. doi:10. 1002/wrcr. 20221.
46. Shiau, J.-T., Wang, H.-Y., Tsai, C.-T., 2006. Bivariate flood frequency analysis of floods using copulas. Journal of the American Water Resources Association, 42, 6, 1549-1564. doi:10. 1111/j. 1752-1688. 2006. tb06020. x.
47. Sraj, M., Bezak, N., Brilly, M., 2014. Bivariate flood frequency analysis using the copula function: a case study of the Litija station on the Sava River. Hydrological Processes, 29, 2, 225-238. doi:10. 1002/hyp. 10145.
48. Szolgay, J., Gaál, L., Bacigál, T., Kohnová, S., Hlavová, K., Výleta, R., Blöschl, G., 2016. A regional look at the selection of a process-oriented model for flood peak/volume relationships. IAHS publ. 373. IAHS Press, Wallingford, pp. 61-69. doi: 10. 5194/piahs-373-1-2016.
49. Szolgay, J., Gaál, L., Kohnová, S., Hlavová, K., Výleta, R., Bacigál, T., Blöschl, G., 2015. A process-based analysis of the suitability of copula types for peak-volume flood relationships. Proc. IAHS, 370, 183-188. doi: 10. 5194/piahs-370-183-2015.
50. Vernieuwe, H., Vandenberghe, S., De Baets, B., Verhoest, N. E. C., 2015. A continuous rainfall model based on vine copulas. Hydrology and Earth System Sciences, 19, 6, 2685-2699. doi:10. 5194/hess-19-2685-2015.
51. Werner, P. C., Gerstengarbe, F.-W., 2010. Katalog der Grosswetterlagen Europas (1881-2009) nach Paul Hess und Helmut Brezowsky, 7., verbesserte und ergänzte Auflage. [Catalog of Large Weather Conditions of Europe (1881-2009), after Paul Hess and Helmut Brezowsky, 7th, Improved and Completed Edition]. PIK-Report No. 119, Potsdam Institute for Climate Impact Research, Potsdam, 146 p. (In German.)
52. Zhang, L., Singh, V. P., 2006. Bivariate flood frequency analysis using the copula method. Journal of Hydrologic Engineering 11, 150-164. doi:10. 1061/(asce)1084-0699(2006)11:2(150).