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Erschienen in: Earth Science Informatics 2/2021

30.10.2020 | Research Article

Determining the best fitting distribution of annual precipitation data in Serbia using L-moments method

verfasst von: Milan Gocic, Lazar Velimirovic, Miomir Stankovic, Slavisa Trajkovic

Erschienen in: Earth Science Informatics | Ausgabe 2/2021

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Abstract

Precipitation is one of the key components in the water cycle. To analyse the changes in precipitation at a specific location, it is necessary to identify the distribution that best fits the precipitation data. For this purpose, three distributions i.e. generalized extreme value (GEV), generalized Pareto (GPD), and generalized logistic (GLO) were fitted to the annual precipitation data collected from 28 meteorological stations in Serbia for the period 1946–2019 using the method of L-moment. The goodness-of-fit for the selected three distributions was confirmed using the L-diagram and three measures namely relative root mean square error, relative mean absolute error, and probability plot correlation coefficient. From the results of this analysis, the GEV distribution was selected as the best fitting distribution of the annual precipitation data in Serbia. The increasing trends are presented in the western part of Serbia that can cause higher risks of floods than in other parts.

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Literatur
Zurück zum Zitat Coles S (2001) An introduction to statistical modelling of extremevalues, Springer series in statistics. Springer-Verlag, London Coles S (2001) An introduction to statistical modelling of extremevalues, Springer series in statistics. Springer-Verlag, London
Zurück zum Zitat De Michele C (2019) Advances in deriving the exact distribution of maximum annual daily precipitation. Water (Switzerland) 11(11):2322 De Michele C (2019) Advances in deriving the exact distribution of maximum annual daily precipitation. Water (Switzerland) 11(11):2322
Zurück zum Zitat Filliben JJ (1975) The probability plot correlation coefficient test for normality. Technometrics 17(1):111–117CrossRef Filliben JJ (1975) The probability plot correlation coefficient test for normality. Technometrics 17(1):111–117CrossRef
Zurück zum Zitat Gellens D (2002) Combining regional approach and data extension procedure for assessing GEV distribution of extreme precipitation in Belgium. J Hydrol 268:113–126CrossRef Gellens D (2002) Combining regional approach and data extension procedure for assessing GEV distribution of extreme precipitation in Belgium. J Hydrol 268:113–126CrossRef
Zurück zum Zitat Gocic M, Trajkovic S (2014a) Spatiotemporal characteristics of drought in Serbia. J Hydrol 510:110–123CrossRef Gocic M, Trajkovic S (2014a) Spatiotemporal characteristics of drought in Serbia. J Hydrol 510:110–123CrossRef
Zurück zum Zitat Gocic M, Trajkovic S (2014b) Spatio-temporal patterns of precipitation in Serbia. Theor Appl Climatol 117(3–4):419–431CrossRef Gocic M, Trajkovic S (2014b) Spatio-temporal patterns of precipitation in Serbia. Theor Appl Climatol 117(3–4):419–431CrossRef
Zurück zum Zitat Gocic M, Shamshirband S, Razak Z, Petkovic D, Ch S, Trajkovic S (2016) Long-term precipitation analysis and estimation of precipitation concentration index using three support vector machine methods. Adv Meteorol 7912357. https://doi.org/10.1155/2016/7912357 Gocic M, Shamshirband S, Razak Z, Petkovic D, Ch S, Trajkovic S (2016) Long-term precipitation analysis and estimation of precipitation concentration index using three support vector machine methods. Adv Meteorol 7912357. https://​doi.​org/​10.​1155/​2016/​7912357
Zurück zum Zitat Greenwood JA, Landwehr JM, Matalas NC, Wallis JR (1979) Probability weighted moments: definition and relation to parameters of several distributions expressible in inverse form. Water Resour Res 15(5):1049–1054CrossRef Greenwood JA, Landwehr JM, Matalas NC, Wallis JR (1979) Probability weighted moments: definition and relation to parameters of several distributions expressible in inverse form. Water Resour Res 15(5):1049–1054CrossRef
Zurück zum Zitat Gringorten II (1963) A plotting rule for extreme probability paper. J Geophys Res 68:813–814CrossRef Gringorten II (1963) A plotting rule for extreme probability paper. J Geophys Res 68:813–814CrossRef
Zurück zum Zitat Hirose H (1995) Maximum likelihood parameter estimation in the three-parameter gamma distribution. Comput Stat Data Anal 20(4):343–354CrossRef Hirose H (1995) Maximum likelihood parameter estimation in the three-parameter gamma distribution. Comput Stat Data Anal 20(4):343–354CrossRef
Zurück zum Zitat Hosking JRM (1989) Some Theoretical Results Concerning L-moments. IBM T.J. Watson Research Center, New York Hosking JRM (1989) Some Theoretical Results Concerning L-moments. IBM T.J. Watson Research Center, New York
Zurück zum Zitat Hosking JRM (1990) L-moments: analysis and estimation of distributions using linear combinations of order statistics. J R Stat Soc Ser B 52(1):105–124 Hosking JRM (1990) L-moments: analysis and estimation of distributions using linear combinations of order statistics. J R Stat Soc Ser B 52(1):105–124
Zurück zum Zitat Hosking JRM, Wallis JR (1997) Regional frequency analysis. An approach based on L-moments. Cambridge University Press, CambridgeCrossRef Hosking JRM, Wallis JR (1997) Regional frequency analysis. An approach based on L-moments. Cambridge University Press, CambridgeCrossRef
Zurück zum Zitat Hu C, Xia J, She D, Xu C, Zhang L, Song Z, Zhao L (2019) A modified regional L-moment method for regional extreme precipitation frequency analysis in the Songliao River basin of China. Atmos Res 230:104629CrossRef Hu C, Xia J, She D, Xu C, Zhang L, Song Z, Zhao L (2019) A modified regional L-moment method for regional extreme precipitation frequency analysis in the Songliao River basin of China. Atmos Res 230:104629CrossRef
Zurück zum Zitat Ibrahim MN (2019) Generalized distributions for modeling precipitation extremes based on the L moment approach for the Amman Zara Basin, Jordan. Theor Appl Climatol 138(1–2):1075–1093CrossRef Ibrahim MN (2019) Generalized distributions for modeling precipitation extremes based on the L moment approach for the Amman Zara Basin, Jordan. Theor Appl Climatol 138(1–2):1075–1093CrossRef
Zurück zum Zitat Jeon JJ, Kim YO, Kim Y (2011) Expected probability weighted moment estimator for censored flood data. Adv Water Resour 34(8):933–945CrossRef Jeon JJ, Kim YO, Kim Y (2011) Expected probability weighted moment estimator for censored flood data. Adv Water Resour 34(8):933–945CrossRef
Zurück zum Zitat Kjellström E (2004) Recent and future signatures of climate change in Europe. Ambio 23:193–198CrossRef Kjellström E (2004) Recent and future signatures of climate change in Europe. Ambio 23:193–198CrossRef
Zurück zum Zitat Koutsoyiannis D (2004) Statistics of extremes and estimation of extreme rainfall 1. Theoretical investigation. Hydrol Sci J 49(4):575–590 Koutsoyiannis D (2004) Statistics of extremes and estimation of extreme rainfall 1. Theoretical investigation. Hydrol Sci J 49(4):575–590
Zurück zum Zitat Kysely J, Picek J (2007) Regional growth curves and improved design value estimates of extreme precipitation events in the Czech Republic. Clim Res 33:243–255CrossRef Kysely J, Picek J (2007) Regional growth curves and improved design value estimates of extreme precipitation events in the Czech Republic. Clim Res 33:243–255CrossRef
Zurück zum Zitat Landwehr JM (1979) Probability weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantitles. Water Resour Res 15(5):1055–1064CrossRef Landwehr JM (1979) Probability weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantitles. Water Resour Res 15(5):1055–1064CrossRef
Zurück zum Zitat Lazoglou G, Anagnostopoulou C, Skoulikaris C, Tolika K (2019) Bias correction of climate Model’s precipitation using the copula method and its application in River Basin simulation. Water 11:600CrossRef Lazoglou G, Anagnostopoulou C, Skoulikaris C, Tolika K (2019) Bias correction of climate Model’s precipitation using the copula method and its application in River Basin simulation. Water 11:600CrossRef
Zurück zum Zitat Li W, Duan Q, Ye A, Miao C (2019) An improved meta-Gaussian distribution model for post-processing of precipitation forecasts by censored maximum likelihood estimation. J Hydrol 574:801–810CrossRef Li W, Duan Q, Ye A, Miao C (2019) An improved meta-Gaussian distribution model for post-processing of precipitation forecasts by censored maximum likelihood estimation. J Hydrol 574:801–810CrossRef
Zurück zum Zitat Monish NT, Rehana S (2020) Suitability of distributions for standard precipitation and evapotranspiration index over meteorologically homogeneous zones of India. J Earth Syst Sci 129(1):25CrossRef Monish NT, Rehana S (2020) Suitability of distributions for standard precipitation and evapotranspiration index over meteorologically homogeneous zones of India. J Earth Syst Sci 129(1):25CrossRef
Zurück zum Zitat Park JS, Jung HS (2002) Modelling Korean extreme rainfall using a kappa distribution and maximum likelihood estimate. Theor Appl Climatol 72:55–64CrossRef Park JS, Jung HS (2002) Modelling Korean extreme rainfall using a kappa distribution and maximum likelihood estimate. Theor Appl Climatol 72:55–64CrossRef
Zurück zum Zitat Park JS, Jung HS, Kim RS, Oh JH (2001) Modelling summer extreme rainfall over the Korean peninsula using Wakeby distribution. Int J Climatol 21:1371–1384CrossRef Park JS, Jung HS, Kim RS, Oh JH (2001) Modelling summer extreme rainfall over the Korean peninsula using Wakeby distribution. Int J Climatol 21:1371–1384CrossRef
Zurück zum Zitat Philandras CM, Nastos PT, Kapsomenakis J, Douvis KC, Tselioudis G, Zerefos CS (2011) Long term precipitation trends and variability within the Mediterranean region. Nat Hazards Earth Syst Sci 11:3235–3250CrossRef Philandras CM, Nastos PT, Kapsomenakis J, Douvis KC, Tselioudis G, Zerefos CS (2011) Long term precipitation trends and variability within the Mediterranean region. Nat Hazards Earth Syst Sci 11:3235–3250CrossRef
Zurück zum Zitat Räisänen J, Hansson U, Ullerstig A, Döscher R, Graham LP, Jones C, Meier M, Samuelsson P, Willén U (2004) European climate in the late 21st century: regional simulations with two driving global models and two forcing scenarios. Clim Dyn 22:13–31CrossRef Räisänen J, Hansson U, Ullerstig A, Döscher R, Graham LP, Jones C, Meier M, Samuelsson P, Willén U (2004) European climate in the late 21st century: regional simulations with two driving global models and two forcing scenarios. Clim Dyn 22:13–31CrossRef
Zurück zum Zitat Tfwala CM, Rensburg LD, Schall R, Mosia SM, Dlamini P (2017) Precipitation intensity-duration-frequency curves and their uncertainties for Ghaap plateau. Clim Risk Manag 16:1–9CrossRef Tfwala CM, Rensburg LD, Schall R, Mosia SM, Dlamini P (2017) Precipitation intensity-duration-frequency curves and their uncertainties for Ghaap plateau. Clim Risk Manag 16:1–9CrossRef
Zurück zum Zitat Tzavelas G (2009) Maximum likelihood parameter estimation in the three-parameter gamma distribution with the use of Mathematica. J Stat Comput Simul 79(12):1457–1466CrossRef Tzavelas G (2009) Maximum likelihood parameter estimation in the three-parameter gamma distribution with the use of Mathematica. J Stat Comput Simul 79(12):1457–1466CrossRef
Zurück zum Zitat Wei T, Song S (2019) Confidence interval estimation for precipitation quantiles based on principle of maximum entropy. Entropy 21(3):315CrossRef Wei T, Song S (2019) Confidence interval estimation for precipitation quantiles based on principle of maximum entropy. Entropy 21(3):315CrossRef
Zurück zum Zitat Yuan J, Emura K, Farnham C, Alam MA (2018) Frequency analysis of annual maximum hourly precipitation and determination of best fit probability distribution for regions in Japan. Urban Clim 24:276–286CrossRef Yuan J, Emura K, Farnham C, Alam MA (2018) Frequency analysis of annual maximum hourly precipitation and determination of best fit probability distribution for regions in Japan. Urban Clim 24:276–286CrossRef
Zurück zum Zitat Yurekli K, Modarres R, Ozturk F (2009) Regional daily maximum rainfall estimation for Cekerek watershed by L-moments. Meteorol Appl 16:435–444CrossRef Yurekli K, Modarres R, Ozturk F (2009) Regional daily maximum rainfall estimation for Cekerek watershed by L-moments. Meteorol Appl 16:435–444CrossRef
Zurück zum Zitat Zin WZW, Jemain AA, Ibrahim K (2009) The best fitting distribution of annual maximum rainfall in peninsular Malaysia based on methods of L-moment and LQ-moment. Theor Appl Climatol 96:337–344CrossRef Zin WZW, Jemain AA, Ibrahim K (2009) The best fitting distribution of annual maximum rainfall in peninsular Malaysia based on methods of L-moment and LQ-moment. Theor Appl Climatol 96:337–344CrossRef
Metadaten
Titel
Determining the best fitting distribution of annual precipitation data in Serbia using L-moments method
verfasst von
Milan Gocic
Lazar Velimirovic
Miomir Stankovic
Slavisa Trajkovic
Publikationsdatum
30.10.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Earth Science Informatics / Ausgabe 2/2021
Print ISSN: 1865-0473
Elektronische ISSN: 1865-0481
DOI
https://doi.org/10.1007/s12145-020-00543-9

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