Abstract
Rainfall seasonality in Serbia is examined trough the analysis of several indices: seasonality index (SI), individual seasonality index (\({SI}_{i})\), and replicability index (RI). Based on data from 14 synoptic stations that are well distributed over Serbian territory, spatial distribution of general seasonality index \(\overline{SI}\), mean individual seasonality index \(\overline{{SI }_{ind}}\), and \(RI\) are analyzed in two subperiods (1961–1990 and 1991–2020). The modified Mann–Kendall test (MMK) and Sen’s slope methods are used to investigate the possible trends and its magnitudes in time series of \({SI}_{i}\). The values of \(\overline{SI}\) show that precipitation regime in Serbia is very equitable or equitable with definite wetter season. For the entire Serbian territory, the values of RI are low, indicating that the month of maximum rainfall occurs over large spread of months along the studied periods. The existence of significant negative correlation between RI and longitude is found. Results show a highest influence of the North Atlantic Oscillation and East Atlantic/West Russia pattern on rainfall seasonality in Serbia.
Similar content being viewed by others
Data availability
The research data will be made available on request.
References
Amiri MA, Gocić M (2021a) Analyzing the applicability of some precipitation concentration indices over Serbia. Theoret Appl Climatol 146(1–2):645–656. https://doi.org/10.1007/s00704-021-03743-5
Amiri AM, Gocić M (2021b) Innovative trend analysis of annual precipitation in Serbia during 1946–2019. Environmental Earth Sciences 80(23):777. https://doi.org/10.1007/s12665-021-10095-w
Anđelković G, Jovanović S, Manojlović S, Samardžić I, Živković L, Šabić D, Gatarić D, Džinović M (2018) Extreme precipitation events in Serbia: defining the threshold criteria for emergency preparedness. Atmosphere 9(5):188. https://doi.org/10.3390/atmos9050188
Arias ME, Farinosi F, Lee E, Livino A, Briscoe J, Moorcroft PR (2020) Impacts of climate change and deforestation on hydropower planning in the Brazilian Amazon. Nature Sustainability 3(6):430–436. https://doi.org/10.1038/s41893-020-0492-y
Bajat B, Pejović M, Luković J, Manojlović P, Ducić V, Mustafić S (2013) Mapping average annual precipitation in Serbia (1961–1990) by using regression kriging. Theoret Appl Climatol 112:1–13. https://doi.org/10.1007/s00704-012-0702-2
Bajat B, Blagojević D, Kilibarda M, Luković J, Tošić I (2015) Spatial analysis of the temperature trends in Serbia during the period 1961–2010. Theoret Appl Climatol 121:289–301. https://doi.org/10.1007/s00704-014-1243-7
Bari SH, Rahman MTU, Hoque MA, Hussain MM (2016) Analysis of seasonal and annual rainfall trends in the northern region of Bangladesh. Atmos Res 176:148–158. https://doi.org/10.1016/j.atmosres.2016.02.008
Barnston A, Livezey RE (1987) Classification, seasonality and persistence of low-frequency circulation patterns. Mon Weather Rev 115:1083–1126. https://doi.org/10.1175/1520-0493(1987)115%3c1083:CSAPOL%3e2.0.CO;2
Bayley GV, Hammersley JM (1946) The “effective” number of independent observations in an autocorrelated time series. Suppl J R Stat Soc 8(2):184–197. https://doi.org/10.2307/2983560
Briët OJ, Vounatsou P, Amerasinghe PH (2008) Malaria seasonality and rainfall seasonality in Sri Lanka are correlated in space. Geospat Health 2(2):183–190. https://doi.org/10.4081/gh.2008.242
Chen Y, Guan Y, Shao G, Zhang D (2016) Investigating trends in streamflow and precipitation in Huangfuchuan Basin with wavelet analysis and the Mann-Kendall test. Water 8(3):77. https://doi.org/10.3390/w8030077
da Silva RM, Santos CA, Moreira M, Corte-Real J, Silva VC, Medeiros IC (2015) Rainfall and river flow trends using Mann-Kendall and Sen’s slope estimator statistical tests in the Cobres River basin. Nat Hazards 77:1205–1221. https://doi.org/10.1007/s11069-015-1644-7
da Silva AL, da Silva ASA, Menezes RSC, Stosic B, Stosic T (2023) Analysis of rainfall seasonality in Pernambuco, Brazil. Theoret Appl Climatol 153:137–154. https://doi.org/10.1007/s00704-023-04462-9
Deng S, Yang N, Li M, Cheng L, Chen Z, Chen Y, Chen T, Liu X (2019) Rainfall seasonality changes and its possible teleconnections with global climate events in China. Clim Dynam 53:3529–3546. https://doi.org/10.1007/s00382-019-04722-3
Donat MG, Lowry AL, Alexander LV, O’Gorman PA, Maher N (2016) More extreme precipitation in the world’s dry and wet regions. Nat Clim Chang 6(5):508–513. https://doi.org/10.1038/nclimate2941
Doyle ME (2020) Observed and simulated changes in precipitation seasonality in Argentina. Int J Climatol 40(3):1716–1737. https://doi.org/10.1002/joc.6297
Evrard O, Nord G, Cerdan O, Souchère V, Le Bissonnais Y, Bonté P (2010) Modelling the impact of land use change and rainfall seasonality on sediment export from an agricultural catchment of the northwestern European loess belt. Agr Ecosyst Environ 138(1–2):83–94. https://doi.org/10.1016/j.agee.2010.04.003
Feng X, Porporato A, Rodriguez-Iturbe I (2013) Changes in rainfall seasonality in the tropics. Nat Clim Chang 3(9):811–815. https://doi.org/10.1038/nclimate1907
Gocic M, Trajkovic S, Milanovic M (2020) Precipitation and drought analysis in Serbia for the Period 1946–2017. In: Negm A, Romanescu G, Zelenakova M (eds) Water Resources Management in Balkan Countries. Springer Water. Springer, Cham, pp 277–292. https://doi.org/10.1007/978-3-030-22468-4_11
Guhathakurta P, Saji E (2013) Detecting changes in rainfall pattern and seasonality index vis-à-vis increasing water scarcity in Maharashtra. J Earth Syst Sci 122:639–649. https://doi.org/10.1007/s12040-013-0294-y
Hurrell JW (1995) Decadal trends in the North Atlantic Oscillation: regional temperatures and precipitation. Science 269:676–679. https://doi.org/10.1126/science.269.5224.676
Kahya E, Kalaycı S (2004) Trend analysis of streamflow in Turkey. J Hydrol 289(1–4):128–144. https://doi.org/10.1016/j.jhydrol.2003.11.006
Kendall MG (1975) Rank correlation methods. Griffin, London
Kharin VV, Zwiers FW, Zhang X, Wehner M (2013) Changes in temperature and precipitation extremes in the CMIP5 ensemble. Clim Change 119:345–357. https://doi.org/10.1007/s10584-013-0705-8
Krichak SO, Breitgand JS, Gualdi SF, Feldstein SB (2014) Teleconnection-extreme precipitation relationships over the Mediterranean region. Theoret Appl Climatol 117:679–692. https://doi.org/10.1007/s00704-013-1036-4
Lins HF, Slack JR (1999) Streamflow trends in the United States. Geophys Res Lett 26(2):227–230. https://doi.org/10.3133/fs20053017
Livada I, Asimakopoulos DN (2005) Individual seasonality index of rainfall regimes in Greece. Climate Res 28(2):155–161. https://doi.org/10.3354/CR028155
Luković J, Bajat B, Blagojević D, Kilibarda M (2014) Spatial pattern of recent rainfall trends in Serbia (1961–2009). Reg Environ Change 14:1789–1799. https://doi.org/10.1007/s10113-013-0459-x
Luković J, Blagojevć D, Kilibarda M, Bajat B (2015) Spatial pattern of North Atlantic Oscillation impact on rainfall in Serbia. Spatial Statistics 14:39–52. https://doi.org/10.1016/j.spasta.2015.04.007
Mallick J, Talukdar S, Alsubih M, Salam R, Ahmed M, Kahla NB, Shamimuzzaman M (2021) Analysing the trend of rainfall in Asir region of Saudi Arabia using the family of Mann-Kendall tests, innovative trend analysis, and detrended fluctuation analysis. Theoret Appl Climatol 143:823–841. https://doi.org/10.1007/s00704-020-03448-1
Mann HB (1945) Nonparametric tests against trend. Econometrica 13:245–259. https://doi.org/10.2307/1907187
Mao Y, Wu G, Xu G, Wang K (2022) Reduction in precipitation seasonality in China from 1960 to 2018. J Clim 35(1):227–248. https://doi.org/10.1175/JCLI-D-21-0324.1
Martin-Vide J, Lopez-Bustins JA (2006) The western Mediterranean oscillation and rainfall in the Iberian Peninsula. Int J Climatol 26:1455–1475. https://doi.org/10.1002/joc.1388
Mathbout S, Lopez-Bustins JA, Royé D, Martin-Vide J, Benhamrouche A (2020) Spatiotemporal variability of daily precipitation concentration and its relationship to teleconnection patterns over the Mediterranean during 1975–2015. Int J Climatol 40:1435–1455. https://doi.org/10.1002/joc.6278
Milovanović B, Ducić V, Radovanović M, Milivojević M (2017a) Climate regionalization of Serbia according to Köppen climate classification. J Geogr Inst Cvijic 67(2):103–114. https://doi.org/10.2298/IJGI1702103M
Milovanović B, Schuster P, Radovanović M, Vakanjac VR, Schneider C (2017b) Spatial and temporal variability of precipitation in Serbia for the period 1961–2010. Theoret Appl Climatol 130:687–700. https://doi.org/10.1007/s00704-017-2118-5
Milovanović B, Stanojević G, Radovanović M (2022) Climate of Serbia. In: Nikitović V, Djurović P (eds) Manić E. The geography of Serbia. World Regional Geography Book Series. Springer, Cham. https://doi.org/10.1007/978-3-030-74701-5_5
Moore GWK, Pickart RS, Renfrew IA (2011) Complexities in the climate of the subpolar North Atlantic: a case study from 2007. Q J R Meteorol Soc 137:757–767. https://doi.org/10.1002/qj.778
Papalexiou SM, Montanari A (2019) Global and regional increase of precipitation extremes under global warming. Water Resour Res 55(6):4901–4914. https://doi.org/10.1029/2018WR024067
Pascale S, Lucarini V, Feng X, Porporato A, Hasson SU (2015) Analysis of rainfall seasonality from observations and climate models. Clim Dyn 44:3281–3301. https://doi.org/10.1007/s00382-014-2278-2
Patakamuri S, O'Brien N (2021) Modified versions of Mann Kendall and Spearman’s rho trend tests. R package version 1.6. https://CRAN.R-project.org/package=modifiedmk. Accessed 2 Mar 2023
Putniković S, Tošić I, Đurđević V (2016) Circulation weather types and their influence on precipitation in Serbia. Meteorol Atmos Phys 128:649–662. https://doi.org/10.1007/s00703-016-0432-6
Quadrelli R, Pavan V, Molteni F (2001) Winter-time variability of Mediterranean precipitation and its links with large-scale circulation anomalies. Clim Dyn 17(5–6):457–466. https://doi.org/10.1007/s003820000121
R Core Team (2023) A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. https://www.R-project.org/. Accessed 2 Mar 2023
Rai P, Dimri AP (2020) Changes in rainfall seasonality pattern over India. Meteorol Appl 27(1):e1823. https://doi.org/10.1002/met.1823
Salas JD (1980) Applied modeling of hydrologic time series. Water Resources Publication, Michigan, USA
Sen PK (1968) Estimates of the regression coefficient based on Kendall’s tau. J Am Stat Assoc 63(324):1379–1389. https://doi.org/10.1080/01621459.1968.10480934
Sharma S, Singh PK (2019) Spatial trends in rainfall seasonality: a case study in Jharkhand. India Weather 74(1):31–39. https://doi.org/10.1002/wea.3231
Silva Junior CH, Almeida CT, Santos JR, Anderson LO, Aragão LE, Silva FB (2018) Spatiotemporal rainfall trends in the Brazilian legal amazon between the years 1998 and 2015. Water 10(9):1220. https://doi.org/10.3390/w10091220
Srdjevic B, Srdjevic Z, Benka P (2021) Stochastic process of extreme rainless periods in Serbia. Int J Climatol 41:E1119–E1136. https://doi.org/10.1002/joc.6757
Suepa T, Qi J, Lawawirojwong S, Messina JP (2016) Understanding spatio-temporal variation of vegetation phenology and rainfall seasonality in the monsoon Southeast Asia. Environ Res 147:621–629. https://doi.org/10.1016/j.envres.2016.02.005
Suescún D, Villegas JC, León JD, Flórez CP, García-Leoz V, Correa-Londono GA (2017) Vegetation cover and rainfall seasonality impact nutrient loss via runoff and erosion in the Colombian Andes. Reg Environ Change 17:827–839. https://doi.org/10.1007/s10113-016-1071-7
Sumner G, Homar V, Ramis C (2001) Precipitation seasonality in eastern and southern coastal Spain. Int J Climatol 21(2):219–247. https://doi.org/10.1002/joc.600
Swain S, Mishra SK, Pandey A (2021) A detailed assessment of meteorological drought characteristics using simplified rainfall index over Narmada River Basin, India. Environ Earth Sci 80:1–15. https://doi.org/10.1007/s12665-021-09523-8
Thomas J, Prasannakumar V (2016) Temporal analysis of rainfall (1871–2012) and drought characteristics over a tropical monsoon-dominated State (Kerala) of India. J Hydrol 534:266–280. https://doi.org/10.1016/j.jhydrol.2016.01.013
Tošić I, Putniković S (2021) Influence of the East Atlantic/West Russia pattern on precipitation over Serbia. Theoret Appl Climatol 146(3–4):997–1006. https://doi.org/10.1007/s00704-021-03777-9
Tošić I, Hrnjak I, Gavrilov MB, Unkašević M, Marković SB, Lukić T (2014) Annual and seasonal variability of precipitation in Vojvodina. Theoret Appl Climatol 117:W331-341. https://doi.org/10.1007/s00704-013-1007-9
Tošić I, Unkašević M, Putniković S (2017) Extreme daily precipitation: the case of Serbia in 2014. Theoret Appl Climatol 128:785–794. https://doi.org/10.1007/s00704-016-1749-2
Twisa S, Buchroithner MF (2019) Seasonal and annual rainfall variability and their impact on rural water supply services in the Wami River Basin. Tanzania Water 11(10):2055. https://doi.org/10.3390/w11102055
Ul Hasson S, Pascale S, Lucarini V, Böhner J (2016) Seasonal cycle of precipitation over major river basins in South and Southeast Asia: a review of the CMIP5 climate models data for present climate and future climate projections. Atmos Res 180:42–63. https://doi.org/10.1016/j.atmosres.2016.05.008
Unkašević M, Tošić I (2011) A statistical analysis of the daily precipitation over Serbia: trends and indices. Theoret Appl Climatol 106:69–78. https://doi.org/10.1007/s00704-011-0418-8
Vujadinović Mandić M, Vuković Vimić A, Ranković-Vasić Z, Đurović D, Ćosić M, Sotonica D, Nikolić D, Đurđević V (2022) Observed changes in climate conditions and weather-related risks in fruit and grape production in Serbia. Atmosphere 13(6):948. https://doi.org/10.3390/atmos13060948
Wakjira MT, Peleg N, Anghileri D, Molnar D, Alamirew T, Six J, Molnar P (2021) Rainfall seasonality and timing: implications for cereal crop production in Ethiopia. Agric for Meteorol 310:108633. https://doi.org/10.1016/j.agrformet.2021.108633
Walsh RPD, Lawler DM (1981) Rainfall seasonality: description, spatial patterns and change through time. Weather 36(7):201–208. https://doi.org/10.1002/j.1477-8696.1981.tb05400.x
Westra S, Alexander LV, Zwiers FW (2013) Global increasing trends in annual maximum daily precipitation. J Clim 26(11):3904–3918. https://doi.org/10.1175/JCLI-D-12-00502.1
Ye S, Li HY, Leung LR, Guo J, Ran Q, Demissie Y, Sivapalan M (2017) Understanding flood seasonality and its temporal shifts within the contiguous United States. J Hydrometeorol 18(7):1997–2009. https://doi.org/10.1175/JHM-D-16-0207.1
Yue S, Wang C (2004) The Mann-Kendall test modified by effective sample size to detect trend in serially correlated hydrological series. Water Resour Manage 18(3):201–218. https://doi.org/10.1023/B:WARM.0000043140.61082.60
Acknowledgements
The authors would like to thank the Hydrometeorological Service of Serbia which provided the data necessary for this study. The authors are grateful for valuable comments and suggestions of two anonymous reviewers.
Funding
TS, LdSA, ASAdS, and BS acknowledge support of Brazilian agencies CAPES and CNPq (grant nos. 308782/2022–4 and 309499/2022–4). MT, IL, SP, VDj, and IT acknowledge support of the Ministry of Science, Technological Development and Innovation of the Republic of Serbia, grant no. 451–03-47/2023–01/200162.
Author information
Authors and Affiliations
Contributions
Conceptualization and methodology: TS; data collection: MT, IL, SP, and IT; formal analysis and software: MT, IL, LdSA, ASAdS, VD, and BS; analysis was performed by all authors. All authors write, read and approved the final manuscript.
Corresponding author
Ethics declarations
Competing interests
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Stosic, T., Tošić, M., Lazić, I. et al. Changes in rainfall seasonality in Serbia from 1961 to 2020. Theor Appl Climatol 155, 4123–4138 (2024). https://doi.org/10.1007/s00704-024-04871-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00704-024-04871-4