Analysis of a long record of annual maximum rainfall in Athens, Greece, and design rainfall inferences

D. Koutsoyiannis, and G. Baloutsos, Analysis of a long record of annual maximum rainfall in Athens, Greece, and design rainfall inferences, Natural Hazards, 22 (1), 29–48, doi:10.1023/A:1008001312219, 2000.

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[English]

An annual series of maximum daily rainfall extending through 1860-1995, i.e., 136 years, was extracted from the archives of a meteorological station in Athens. This is the longest rainfall record available in Greece and its analysis is required for the prediction of intense rainfall in Athens, where currently major flood protection works are under way. Moreover, the statistical analysis of this long record can be useful for investigating more generalised issues regarding the adequacy of extreme value distributions for extreme rainfall analysis and the effect of sample size on design rainfall inferences. Statistical exploration and tests based on this long record indicate no statistically significant climatic changes in extreme rainfall during the last 136 years. Furthermore, statistical analysis shows that the conventionally employed Extreme Value Type I (EV1 or Gumbel) distribution is inappropriate for the examined record (especially in its upper tail), whereas this distribution would seem as an appropriate model if fewer years of measurements were available (i.e., part of this sample were used). On the contrary, the General Extreme Value (GEV) distribution appears to be suitable for the examined series and its predictions for large return periods agree with the probable maximum precipitation estimated by the statistical (Hershfield's) method, when the latter is considered from a probabilistic point of view. Thus, the results of the analysis of this record agree with a recently (and internationally) expressed scepticism about the EV1 distribution which tends to underestimate the largest extreme rainfall amounts. It is demonstrated that the underestimation is quite substantial (e.g. 1:2) for large return periods and this fact must be considered as a warning against the widespread use of the EV1 distribution for rainfall extremes.

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See also: http://dx.doi.org/10.1023/A:1008001312219

Our works referenced by this work:

1. N. Deas, Geographical distribution of intense rainfall in the Sterea Hellas area, Diploma thesis, Department of Water Resources, Hydraulic and Maritime Engineering – National Technical University of Athens, Athens, 1994.
2. Th. Xanthopoulos, D. Christoulas, M. Mimikou, M. Aftias, and D. Koutsoyiannis, A strategy for the problem of floods in Athens, Flood protection of the Athens basin, doi:10.13140/RG.2.2.35719.60320, Technical Chamber of Greece, 1995.
3. D. Kozonis, Construction of rainfall intensity-duration-frequency curves with incomplete data, Diploma thesis, 94 pages, Department of Water Resources, Hydraulic and Maritime Engineering – National Technical University of Athens, Athens, June 1995.
4. M. Nikolaidou, and E. Hatzichristou, Registering and assessment of devastating floods in Greece and Cyprus, Diploma thesis, Department of Water Resources, Hydraulic and Maritime Engineering – National Technical University of Athens, Athens, 1995.
5. G. C. Koukis, and D. Koutsoyiannis, Greece, Geomorphological hazards in Europe, edited by C.&C. Embleton, 215–241, doi:10.1016/S0928-2025(97)80010-7, Elsevier, 1997.
6. D. Koutsoyiannis, D. Kozonis, and A. Manetas, A mathematical framework for studying rainfall intensity-duration-frequency relationships, Journal of Hydrology, 206 (1-2), 118–135, 1998.
7. D. Koutsoyiannis, and Th. Xanthopoulos, Engineering Hydrology, Edition 3, 418 pages, doi:10.13140/RG.2.1.4856.0888, National Technical University of Athens, Athens, 1999.

Our works that reference this work:

1. D. Koutsoyiannis, A probabilistic view of Hershfield's method for estimating probable maximum precipitation, Water Resources Research, 35 (4), 1313–1322, doi:10.1029/1999WR900002, 1999.
2. D. Koutsoyiannis, Statistics of extremes and estimation of extreme rainfall, 1, Theoretical investigation, Hydrological Sciences Journal, 49 (4), 575–590, 2004.
3. D. Koutsoyiannis, Statistics of extremes and estimation of extreme rainfall, 2, Empirical investigation of long rainfall records, Hydrological Sciences Journal, 49 (4), 591–610, 2004.
4. D. Koutsoyiannis, Older and modern considerations in the design and management of reservoirs, dams and hydropower plants (Solicited), 1st Hellenic Conference on Large Dams, Larisa, doi:10.13140/RG.2.1.3213.5922, Hellenic Commission on Large Dams, Technical Chamber of Greece, 2008.
5. A. Efstratiadis, A. D. Koussis, D. Koutsoyiannis, and N. Mamassis, Flood design recipes vs. reality: can predictions for ungauged basins be trusted?, Natural Hazards and Earth System Sciences, 14, 1417–1428, doi:10.5194/nhess-14-1417-2014, 2014.

Works that cite this document: View on Google Scholar or ResearchGate

Other works that reference this work (this list might be obsolete):

1. #Koussis, A. D., A. Kotronarou, G. Destouni and C. Prieto, Intensive groundwater development in coastal zones and small islands, Intensive use of groundwater: challenges and opportunities (ed. R. Llamas & E. Custodio), Swets & Zeitlinger BV, Lisse, The Netherlands, 133-156, 2003.
2. Yu, P.S., T.C. Yang and C. S. Lin, Regional rainfall intensity formulas based on scaling property of rainfall, Journal of Hydrology, 295 (1-4), 108-123, 2004.
3. Mohymont, B., G. R. Demaree and D. N. Faka, Establishment of IDF-curves for precipitation in the tropical area of Central Africa - comparison of techniques and results, Natural Hazards and Earth System Sciences, 4 (3), 375-387, 2004.
4. #Stathis, D, Extreme rainfall-events and flood-genesis in Greece, Proceedings of the 7th Panhellenic Geografical Conference of the Hellenic Geographical Society (7PGC/HGS), Mytilene, Greece, 1-8, 2004.
5. #Daniil, E.I., S. Michas, G. Bouklis, P.L. Lazaridou and L.S. Lazarides L.S., Flood management and control in an urban environment: Diakoniaris case study, River Flow 2004, Vol. 2, 1411-1420, ed. by M. Greco et al., Balkema (ISBN 9058096882), 2004.
6. Nadarajah, S., Extremes of daily rainfall in West Central Florida, Climatic Change, 69(2-3), 325-342, 2005.
7. Borga, M., C. Vezzani and G. Dalla Fontana, Regional rainfall depth-duration-frequency equations for an alpine region, Natural Hazards, 36 (1-2), 221-235, 2005.
8. Gonzalez-Serrano, E., J. Rodriguez-Mirasol, T. Cordero, A.D. Koussis and J.I. Rodriguez, Cost of reclaimed municipal wastewater for applications in seasonally stressed semi-arid regions, Journal of Water Supply Res. & Techn., 54(6), 355-369, 2005.
9. Daniil, E.I., S.N. Michas and L.S. Lazaridis, Hydrologic modeling for the determination of design discharges in ungauged basins, Global NEST Journal, 7(3), 296-305, 2005.
10. Mohymont, B., and G.R. Demaree, Intensity-duration-frequency curves for precipitation at Yangambi, Congo, derived by means of various models of Montana type, Hydrological Sciences Journal, 51 (2), 239-253, 2006.
11. Salvadori, G., and C. De Michele, Statistical characterization of temporal structure of storms, Advances in Water Resources, 29(6), 827-842, 2006.
12. Tie, A.G.B., B. Konan, Y.T. Brou, S. Issiaka, V. Fadika et al., Estimation of daily extreme rainfall in a tropical zone: Case study of the Ivory Coast by comparison of Gumbel and lognormal distributions, Hydrolog. Sci. J., 52(1), 49-67, 2007.
13. De Michele, C., and G. Salvadori, On the use of copulas in hydrology: Theory and practice, Journal of Hydrologic Engineering, 12(4), 369-380, 2007.
14. Nadarajah, S., and D. Choi, Maximum daily rainfall in South Korea, Journal of Earth System Science, 116(4), 311-320, 2007.
15. Naveau, P., and P. Poncet, State-space models for maxima precipitation, Journal de la Société Française de Statistique, 148 (1), 107-120, 2007.
16. Benkhaled, A., Distributions statistiques des pluies maximales annuelles dans la region du Cheliff, Comparaison des techniques et des resultats [Statistical distributions of annual maximum rainfalls depths in the area of Cheliff, Comparison of techniques and results], Courrier du Savoir, 8, 83-91, 2007.
17. Muller, A., J.N. Bacro and M. Lang, Bayesian comparison of different rainfall depth-duration-frequency relationships, Stochastic Environmental Research and Risk Assessment, 22(1), 33-46, 2008.
18. Overeem, A., A. Buishand and I. Holleman, Rainfall depth-duration-frequency curves and their uncertainties, Journal of Hydrology, 348(1-2), 124-134, 2008.
19. Soro, G.E., B.T.A. Goula, F.W. Kouassi, K. Koffi, B. Kamagate, I. Doumouya, I. Savane & B. Srohorou, Courbes intensité durée fréquence des précipitations enclimat tropical humide…, European J. Sci. Res., 21(3), 394-405, 2008.
20. Zin, W. Z. W., and A. A. Jemain, Trends in annual extreme rainfall patterns in Peninsular Malaysia from 1975-2004, Journal of Quality Measurement and Analysis, 4(1), 219-230, 2008.
21. Twardosz, R., Probabilistic model of maximum precipitation depths for Kraków (southern Poland, 1886-2002), Theoretical and Applied Climatology, 98 (1-2), 37-45, 2009.
22. Benabdesselam, T., and Y. Hammar, Estimation de la Réponse hydrologique d’un bassin versant urbanisé, European Journal of Scientific Research, 29 (3), 334-348, 2009.
23. Zin, W. Z. W., A. A. Jemain and K. Ibrahim, The best fitting distribution of annual maximum rainfall in Peninsular Malaysia based on methods of L-moment and LQ-moment, Theor. Appl. Climatol., 96 (3-4), 337-344, 2009.
24. Endreny, T. A., and N. Imbeah, Generating robust rainfall intensity-duration-frequency estimates with short-record satellite data, Journal of Hydrology, 371(1-4), 182-191, 2009.
25. Saf, B., Regional flood frequency analysis using L moments for the Buyuk and Kucuk Menderes river basins of Turkey, Journal of Hydrologic Engineering, 14 (8), 783-794, 2009.
26. Zawiah, W. Z. W., A. A. Jemain, K. Ibrahim, J. Suhaila and M. D. Sayang, A comparative study of extreme rainfall in peninsular Malaysia with reference to partial duration and annual extreme series, Sains Malaysiana, 38(5)(): 751–760, 2009.
27. AghaKouchak, A., and N. Nasrollahi, Semi-parametric and parametric inference of extreme value models for rainfall data, Water Resources Management, 24 (6), 1229-1249, 2010.
28. Huard, D., A. Mailhot, and S. Duchesne, Bayesian estimation of intensity–duration–frequency curves and of the return period associated to a given rainfall event, Stochastic Environmental Research and Risk Assessment, 24 (3), 337-347, 2010.
29. Saf, B., Assessment of the effects of discordant sites on regional flood frequency analysis, Journal of Hydrology, 380 (3-4), 362-375, 2010.
30. Quintela-del-Rio, A. On non-parametric techniques for area-characteristic seismic hazard parameters, Geophysical Journal International, 180 (1), 339-346, 2010.
31. Shukla, R. K., M.. Trivedi and M. Kumar, On the proficient use of GEV distribution: a case study off subtropical monsoon region in India, Annals Computer Science Series, 8 (1), 81-92, 2010.
32. Goula Bi, T. A., G. E. Soro, A. Dao, F. W. Kouassi and B. Srohourou, Frequency analysis and new cartography of extremes daily rainfall events in Côte d’Ivoire, Journal of Applied Sciences, 10 (16), 1684-1694, 2010.
33. Mishra, A. K., and V. P. Singh, Changes in extreme precipitation in Texas, Journal of Geophysical Research-Atmospheres, 115, D14106, doi:10.1029/2009JD013398, 2010.
34. Quintela-del-Río, A., On bandwidth selection for nonparametric estimation in flood frequency analysis, Hydrological Processes, 25 (5), 671-678, 2011.
35. Quintela-del-Rio, A., and M. Francisco-Fernandez, Analysis of high level ozone concentrations using nonparametric methods, Science of The Total Environment, 409 (6), 1123-1133, 2011.
36. Leopold, M., E. Gannaway, J. Völkel, F. Haas, M. Becht, T. Heckmann, M. Westphal and G. Zimmer, Geophysical prospection of a bronze foundry on the southern slope of the Acropolis at Athens, Greece, Archaeological Prospection, 18 (1), 27–41, 2011.
37. Babilis, D. J., and P. A. Londra, Assessment of various methods for the determination of hydraulic conductivities of two green roof substrates by steady state infiltration experiments, 60 (2), 274-280, 2011.
38. Deka, S., M. Borah and S. C. Kakaty, Statistical analysis of annual maximum rainfall in North-East India: an application of LH-moments, Theoretical and Applied Climatology, 104 (1-2), 111-122, 2011.
39. Pizarro-Tapia, R., C. Cabrera-Jofre, C. Morales-Calderon, and J. P. Flores-Villanelo, Temporal variations of rainfall and flows in the Maipo River Basin, central Chile, and the influence of glacier melting on water yield (1963-2006), Tecnologia y Ciencias del Agua, 2 (3), 5-19, 2011.
40. #Diakakis, M., Effects on flood hazard in Marathon plain from the 2009 wildfire in Attica, Greece, in Advances in the Research of Aquatic Environment (eds. N. Lambrakis, G. Stournaras, K. Katsanou), Springer, Berlin, Doi: 10.1007/978-3-642-19902-8_17, 155-162, 2011.
41. Nalbantis, I., and S. Lymperopoulos, Assessment of flood frequency after forest fires in small ungauged basins based on uncertain measurements, Hydrological Sciences Journal, 57 (1), 52–72, 2012.
42. Ahammed, F., & G. A. Hewa, Development of hydrological tools using extreme rainfall events for Dhaka, Bangladesh, Water International, 37 (1), 43-52, 2012.
43. Naumann, G., M. P. Llano and W. M. Vargas, Climatology of the annual maximum daily precipitation in the La Plata Basin, International Journal of Climatology, 32 (2), 247-260, 2012.
44. Feroze, N., and M. Aslam, Bayesian estimation of two-component mixture of Gumbel type II distribution under informative priors, International Journal of Basic and Applied Sciences, 1 (4), 534-556, 2012.
45. Eli, A., M. Shaffie and W. Z. Wan Zin, Preliminary study on Bayesian extreme rainfall analysis: A case study of Alor Setar, Kedah, Malaysia, Sains Malaysiana, 41 (11), 1403-1410, 2012.
46. #Dyrrdal, A. V., Estimation of extreme precipitation in Norway and a summary of the state-of-the-art, Report no. 08/2012, Norwegian Meteorological Institute, 2012.
47. #Chu, L.-F., M. McAleer and C.-C. Chang, Statistical modeling of extreme rainfall in Taiwan, Discussion paper No. 835, Kier Discussion Paper Series, Kyoto Institute of Economic Research, Kyoto, 2012.
48. #Chu, L.-F., M. McAleer and C.-C. Chang, Statistical modeling of recent changes in extreme rainfall in Taiwan, Discussion paper No. 837, Kier Discussion Paper Series, Kyoto Institute of Economic Research, Kyoto, 2012.
49. #McAleer, M., L.-F. Chu and C.-C. Chang, Statistical modeling of extreme rainfall in Taiwan, Proceedings of the 2nd International Conference on Computer and Information Application (ICCIA 2012), 1389-1392, Atlantis Press, Paris, France, 2012.
50. Feroze , N., and M. Aslam, On posterior analysis of mixture of two components of Gumbel Type II distribution, International Journal of Probability and Statistics, 1 ( 4), 119-132, 2012.
51. Esteves, L. S., Consequences to flood management of using different probability distributions to estimate extreme rainfall, Journal of Environmental Management, 115, 98-105, 10.1016/j.jenvman.2012.11.013, 2013.
52. Shamir, E., K. P. Georgakakos and M. J. Murphy Jr., Frequency analysis of the 7–8 December 2010 extreme precipitation in the Panama Canal Watershed, Journal of Hydrology, 480, 136-148, 2013.
53. Stiros, S. F. Moschas, L. Feng and A. Newman, Long-term versus short-term deformation of the meizoseismal area of the 2008 Achaia-Elia (MW 6.4) earthquake in NW Peloponnese, Greece: Evidence from historical triangulation and morphotectonic data, Tectonophysics, 592, 150-158, 2013.
54. Shahzadi, A., A. S. Akhter and B. Saf, Regional frequency analysis of annual maximum rainfall in monsoon region of Pakistan using L-moments, Pakistan Journal of Statistics and Operation Research, 9 (1), 111-136, 2013.
55. Sun, S., S.-T. Khu and S. Djordjević, Sampling rainfall events: a novel approach to generate large correlated samples, Hydrology Research, 44 (2), 351–361, 2013.
56. Diakakis, M., An inventory of flood events in Athens, Greece, during the last 130 years: Seasonality and spatial distribution, Journal of Flood Risk Management, 10.1111/jfr3.12053, 2013.
57. #Aque I. A., and A. Afouda, Analyse fréquentielle des maxima annuels de pluies des stations synoptiques du Bénin et élaboration des courbes IDF à Cotonou, Conférence Internationale: 7ème édition des Journées Scientifiques 2iE, Ougadougou, 2013.
58. Chang K. B., S. H. Lai and O. Faridah, RainIDF: automated derivation of rainfall intensity-duration-frequency relationship from annual maxima and partial duration series, Journal of Hydroinformatics, 15 (4), 1224-1233, 2013.
59. Diakakis, M., A. Pallikarakis and K. Katsetsiadou, Using a spatio-temporal GIS database to monitor the spatial evolution of urban flooding phenomena: the case of Athens Metropolitan Area in Greece, ISPRS International Journal of Geo-Information, 3 (1), 96-109, 2014.
60. Bolívar-Cimé, A. M., E. Díaz-Francés and J. Ortega, Optimality of profile likelihood intervals for quantiles of extreme value distributions: applications to environmental disasters, Hydrological Sciences Journal, 10.1080/02626667.2014.897405, 2014.
61. Mitsakis, E., I. Stamos, M. Diakakis and J. M. Salanova Grau, Impacts of high-intensity storms on urban transportation: applying traffic flow control methodologies for quantifying the effects, International Journal of Environmental Science and Technology, 10.1007/s13762-014-0573-4, 2014.
62. Haddad, K., and A. Rahman, Derivation of short-duration design rainfalls using daily rainfall statistics, Natural Hazards, 10.1007/s11069-014-1248-7, 2014.
63. Dyrrdal, A. V., T. Skaugen, F. Stordal and E. J. Førland, Estimating extreme areal precipitation in Norway from a gridded dataset, Hydrological Sciences Journal, 10.1080/02626667.2014.947289, 2014.
64. Yendra, R., A. A. Jemain and W. Z. Wan Zin, The best fitting distribution of maximum storm rainfall with long duration with more than 48 H (MR) and maximum rainfall annualy (MT), Sains Malaysiana, 43 (9), 1451-1460, 2014.
65. Boucefiane, A., M. Meddi, J. P. Laborde and S. Eslamian, Rainfall frequency analysis using extreme values distributions in the steppe region of western Algeria, International Journal of Hydrology Science and Technology, 4 (4), 348-367, 2014.
66. Yousef, L. A. and T. B. M. J. Ouarda, Adaptation of water resources management to changing climate: the role of intensity-duration-frequency curves, International Journal of Environmental Science and Development, 6 (6), 578-483, 2015.
67. González, E.G., M.C. Villegas, S.I. Ochoa García, L.A. Heredia Rojas and A.C. García, A parametric bootstrap test for generalized extreme value distribution, Far East Journal of Mathematical Sciences, 96 (6), 693-708, 2015.
68. Zhou, Y.P., W.K.M. Lau and G.J. Huffman, Mapping TRMM TMPA into average recurrence interval for monitoring extreme precipitation events, Journal of Applied Meteorology and Climatology, 54 (5), 979-995, 10.1175/JAMC-D-14-0269.1, 2015.
69. Schiavo Bernardi, E., D. Allasia, R. Basso, P. Freitas Ferreira and R. Tassi, TRMM rainfall estimative coupled with Bell (1969) methodology for extreme rainfall characterization, Proc. IAHS, 369, 163-168, 10.5194/piahs-369-163-2015, 2015.
70. Chang, K., S. Lai and F. Othman, Comparison of annual maximum and partial duration series for derivation of rainfall intensity-duration-frequency relationships in Peninsular Malaysia, J. Hydrol. Eng., 10.1061/(ASCE)HE.1943-5584.0001262, 05015013, 2015.

Tagged under: Extremes, Rainfall models, Papers initially rejected