Skip to main content

Advertisement

Log in

Heavy tail distribution and Deuterium excess for drought assessment case of Djelfa- watershed (Algeria)

  • Research
  • Published:
Theoretical and Applied Climatology Aims and scope Submit manuscript

Abstract

Global warming has had significant effects on the hydrological cycle. In North Africa, these effects have resulted in a continued decrease in the amount of annual precipitation, greatly influencing the availability of surface and groundwater resources. This paper aims to evaluate drought episodes in a long dataset from Djelfa (Algeria) using a statistical approach based on a decision support system enabled by the Hyfran-plus software, to fit the best statistical distribution model and predict non-exceedance probability of precipitation. The standardized precipitation index is used to highlight sequences of meteorological drought and changes in weather patterns. Shift in precipitation has been identified by Wilcoxon Test for homogeneity; Wold-Wolfowitz test of independence, Kendall's test of trend and new cumulative mean difference curve (CMD) developed to visualize the trend of the precipitation and runoff dataset, Autocorrelation function (ACF) and Fourier spectrum and Deuterium excess isotopes has been used to visualize trends. Log–log plot; the mean excess function (MEF), AIC and BIC criteria are used to select the best distribution fitting model. The statistical results obtained indicate that the dataset follows a heavy-tailed distribution (Pearson type III), Values of excess Deuterium indicate that groundwater recharge has occurred in cold weather different from the actual period. SPI analysis shows that dry years cover more than 51% compared to 49% of wet years. The CMD curve shows a change and trend in the precipitation and runoff time series since 1974. Forecasts show drought recurrences to be between 3 and 200 years.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22

Similar content being viewed by others

Data availability

Supplementary material.

References

  • Al-Awadi AT, Al-Saadi RJM, Mutasher AKA (2023) Frequency analysis of rainfall events in Karbala city, Iraq, by creating a proposed formula with eight probability distribution theories. Smart Science 11(3):639–648

    Article  Google Scholar 

  • Ali S, Abed BS, Rashid M (2023) Generation of idf eqution case study Al-Shuwaija watersheds/(IRAQ-IRAN). Wasit J Eng Sci 11(3):14–26

    Article  Google Scholar 

  • Ali Rahmani SE, Brahim C (2017) Water supply prediction for the next 10 years in Algeria: risks and challenges. Irrigat Drainage Sys Eng 6(3):1000197

    Google Scholar 

  • Ali Rahmani SE, Chibane B (2022) Geochemical assessment of groundwater in semiarid area, case study of the multilayer aquifer in Djelfa, Algeria. Appl Water Sci 12(4):59

  • Amara DMK, Ullah K (2023) Quantification of precipitation deficits on different time scales in Sierra Leone using standard precipitation index. Theoret Appl Climatol 151(3–4):1133–1150

    Article  Google Scholar 

  • Anderson W, Baethgen W, Capitanio F, Ciais P, Cook BI, da Cunha CG, … You L (2023) Climate variability and simultaneous breadbasket yield shocks as observed in long-term yield records. Agric Forest Meteorol 331:109321

  • Ankrah DA, Anum R, Anaglo JN, Boateng SD (2023) Influence of sustainable livelihood capital on climate variability adaptation strategies. Environ Sustain Indic 18:100233

    Google Scholar 

  • Aouati H, Demdoum A, Kada H, Kouadra R (2023) The impact of climate change on groundwater quantity and quality in a semi-arid environment: a case study of Ain Azel plain (Northeast Algeria). Acta Geochim 42(6):1065–1078

  • Asamoah O, Danquah JA, Bamwesigye D, Verter N, Acheampong E, Macgregor CJ, Boateng CM, Kuittinen S, Appiah M, Pappinen A (2023) The perception of the locals on the impact of climate variability on non-timber forest products in Ghana. Acta Ecol Sin. https://doi.org/10.1016/j.chnaes.2023.07.004

  • Bedair H, Alghariani MS, Omar E, Anibaba QA, Remon M, Bornman C, … Alzain HM (2023) Global Warming Status in the African Continent: Sources, Challenges, Policies, and Future Direction. Int J Environ Res 17(3):45

  • Bentchakal M, Medjerab A, Chibane B et al (2022) Meteorological drought and remote sensing data: an approach to assess fire risks in the Algerian forest. Model Earth Syst Environ 8:3847–3858. https://doi.org/10.1007/s40808-021

  • Burger A, Recordon E, Bovet D, Cotton L, Saugy B (1985) Thermique des nappes souterraines. Presses polytechniques romandes

  • Cantat O, Gires JO (1996) des épisodes climatiques actuels. A propos des pluies exceptionnelles de janvier 1995 dans le Calvados, Norois, N°16, p 23–33 (in French)

  • Ceresetti D, Molinié G, Creutin J-D (2010) Scaling properties of heavy rainfall at short duration: a regional analysis. Water Resour Res 46:W09531. https://doi.org/10.1029/2009WR008603

  • Chiang F, Cook BI, McDermid S (2023) Warming overwhelms the efficacy of wet conditions to moderate extreme heat and atmospheric aridity across the Central Plains. Geophys Res Lett 50(7):e2023GL102939

    Article  Google Scholar 

  • Chibane B, Ali-Rahmani SE (2015) Hydrological based model to estimate groundwater recharge, real-evapotranspiration and runoff in semi-arid area. LARHYSS J P-ISSN 1112–3680/E-ISSN 2521–9782, (23), 231–242

  • Cunnane C (1978) Unbiased plotting positions—a review. J Hydrol 37(3–4):205–222

    Article  Google Scholar 

  • El Adlouni S, Bobée B, Ouarda TB (2008) On the tails of extreme event distributions in hydrology. J Hydrol 355(1–4):16–33

    Article  Google Scholar 

  • Elbeltagi A, Kumar M, Kushwaha NL, Pande CB, Ditthakit P, Vishwakarma DK, Subeesh A (2023) Drought indicator analysis and forecasting using data driven models: Case study in Jaisalmer, India. Stoch Env Res Risk Assess 37(1):113–131

    Article  Google Scholar 

  • Faquseh H, Grossi G (2023) The effect of climate change on groundwater resources availability: a case study in the city of Brescia, northern Italy. Sustain Water Resour Manag 9(4):113

    Article  Google Scholar 

  • Furey PR, Gupta VK (2007) Diagnosing peak-discharge power laws observed in rainfall–runoff events in Goodwin Creek experimental watershed. Adv Water Resour 30(11):2387–2399

    Article  Google Scholar 

  • Gallant AJ, Hennessy KJ, Risbey J (2007) Trends in rainfall indices for six Australian regions: 1910–2005. Aust Meteorol Mag 56(4):223–241

    Google Scholar 

  • Geng T, Jia F, Cai W, Wu L, Gan B, Jing Z, … McPhaden MJ (2023) Increased occurrences of consecutive La Niña events under global warming. Nature 619(7971):774–781

  • Gringorten II (1963) A plotting rule for extreme probability paper. J Geophys Res 68(3):813–814

    Article  Google Scholar 

  • Guo SL (1990) A discussion on unbiased plotting positions for the general extreme value distribution. J Hydrol 121(1–4):33–44

    Article  Google Scholar 

  • Gupta VK, Waymire E (1990) Multiscaling properties of spatial rainfall and river flow distributions. J Geophys Res: Atmospheres 95(D3):1999–2009

    Article  Google Scholar 

  • Hallouz F, Meddi M, Mahe G (2013) Analyse des ruptures dans les séries pluviométriques dans le bassin de l’oued Mina (Nord Ouest d’Algérie). Rev Sci Eau 26(1):33–38

    Google Scholar 

  • Hallouz F et al (2018) Impact of climate variability on hydrology of the Western Mitidja watershed, Algeria. In: Kallel A, Ksibi M, Ben Dhia H, Khélifi N (eds) Recent advances in environmental science from the Euro-Mediterranean and surrounding regions. EMCEI 2017. Advances in science, technology & innovation. Springer, Cham. https://doi.org/10.1007/978-3-319-70548-4_221

  • Khedimallah A, Meddi M, Mahé G (2020) Characterization of the interannual variability of precipitation and runoff in the Cheliff and Medjerda basins (Algeria). J Earth Syst Sci 129:1–25

    Article  Google Scholar 

  • Kidson R, Richards KS (2005) Flood frequency analysis: assumptions and alternatives. Prog Phys Geogr 29(3):392–410

    Article  Google Scholar 

  • Lenton TM, Xu C, Abrams JF, Ghadiali A, Loriani S, Sakschewski B, … Scheffer M (2023) Quantifying the human cost of global warming. Nat Sustain 1–11

  • Lihe Y, Guangcai H, Zhengping T, Ying L (2010) Origin and recharge estimates of groundwater in the ordos plateau, People’s Republic of China. Environ Earth Sci 60:1731–1738

  • Maju-Oyovwikowhe GE (2023) Geophysical and hydrogeological assessment and characterization of limestone aquifers for sustainable groundwater resource management: A Case Study in Gada LGA Sokoto State, Nigeria. J Energy Technol Environ 5(2).

  • Marengo JA (2004) Interdecadal variability and trends of rainfall across the Amazon basin. Theoret Appl Climatol 78:79–96

    Article  Google Scholar 

  • Martel B, El Adlouni S, Bobée B (2013) Comparison of the power of lognormality tests with different right-tail alternative distributions. J Hydrol Eng 18(1):1–9

    Article  Google Scholar 

  • Maurya HK, Joshi N, Swami D, Suryavanshi S (2023) Change in temperature extremes over India Under 1.5° C and 2° C Global warming targets. Theor Appl Climatol 152(1–2):57–73

    Article  Google Scholar 

  • McKee TB, Doesken NJ, Kleist J (1995) Drought monitoring with multiple time scales. In: Proceedings of the 9th Conference on Applied Climatology. American Meteorological Society, Boston, pp 233–236

  • Mel’nikov YI (2023) The intensity of eviction of the birds from various regions of inner Asia to the North in the modern period of sharp climate warming. AIP Conf Proc 2817(1):020073. https://doi.org/10.1063/5.0148647

  • Merabti A, Darouich H, Paredes P, Meddi M, Pereira LS (2023) Assessing spatial variability and trends of droughts in Eastern Algeria Using SPI, RDI, PDSI, and MedPDSI—A novel drought index using the FAO56 evapotranspiration method. Water 15(4):626

    Article  Google Scholar 

  • Mtilatila LMNO (2023) Climate change effects on drought, freshwater availability and hydro-power generation in an African environment: observations and projections for the Lake Malawi and Shire River Basins in Malawi (Doctoral dissertation, Universität Potsdam). https://doi.org/10.25932/publishup-59929

  • Nel W, Sumner PD (2006) Trends in rainfall total and variability (1970–2000) along the KwaZulu-Natal Drakensberg foothills. S Afr Geogr J 88(2):130–137

    Article  Google Scholar 

  • Nerantzaki S, Papalexiou SM (2017). Mean Excess Function as a method of identifying sub-exponential tails: Application to extreme daily rainfall. In EGU General Assembly Conference Abstracts, p.18254

  • Ng CK, Ng JL, Huang YF, Tan YX, Mirzaei M (2020) Tropical rainfall trend and stationarity analysis. Water Supply 20(7):2471–2483

    Article  Google Scholar 

  • Niedrist GH (2023) Substantial warming of Central European mountain rivers under climate change. Reg Environ Change 23(1):43

    Article  Google Scholar 

  • Ouatiki H, Boudhar A, Ouhinou A, Arioua A, Hssaisoune M, Bouamri H, Benabdelouahab T (2019) Trend analysis of rainfall and drought over the Oum Er-Rbia River Basin in Morocco during 1970–2010. Arab J Geosci 12:1–11

    Article  Google Scholar 

  • Pande CB, Kushwaha NL, Orimoloye IR, Kumar R, Abdo HG, Tolche AD, Elbeltagi A (2023) Comparative assessment of improved SVM method under different kernel functions for predicting multi-scale drought index. Water Resour Manage 37(3):1367–1399

    Article  Google Scholar 

  • Pashiardis S, Michaelides S (2008) Implementation of the Standardized Precipitation Index (SPI) and Reconnaissance Drought Index (RDI) for Regional Drought Assessment: A case study for Cyprus, European Water 23/24: 57 65, E.W.Publications

  • Pawlowsky-Glahn V, Tolosana-Delgado R, Egozcue JJ (2005) Scale effect in hazard assessment-application to daily rainfall. Adv Geosci 2:117–121

    Article  Google Scholar 

  • Plaza Guingla DA, De Keyser R, De Lannoy GJ, Giustarini L, Matgen P, Pauwels VR (2013) Improving particle filters in rainfall-runoff models: Application of the resample-move step and the ensemble Gaussian particle filter. Water Resour Res 49(7):4005–4021

    Article  Google Scholar 

  • Roy V, Gishkori S, Leus G (2016) Dynamic rainfall monitoring using microwave links. EURASIP J Adv Sign Process 2016:1–17

    Google Scholar 

  • Rui XP, Qu XK, Yu XT, Lei QL, Fan YL (2019) Quantitative rainfall estimation using weather radar based on the improved Kalman filter method. Appl Ecol Environ Res 17(1)

  • Scanlon BR, Healy RW, Cook PG (2002) Choosing appropriate techniques for quantifying groundwater recharge. Hydrogeol J 10:18–39

    Article  CAS  Google Scholar 

  • Selaman OS, Said S, Putuhena FJ (2007) Flood frequency analysis for Sarawak using Weibull, Gringorten and L-moments formula. J Inst Eng 68:43–52

    Google Scholar 

  • Sheffield J, Wood EF, Roderick ML (2012) Little change in global drought over the past 60 years. Nature 491(7424):435–438

    Article  CAS  Google Scholar 

  • Sircoulon J (1976) La récente sécheresse des régions sahéliennes. La Houille Blanche 62(6–7):537–548

  • Stahl K, Kohn I, Blauhut V, Urquijo J, De Stefano L, Acácio V, … Van Lanen HA (2016) Impacts of European drought events: insights from an international database of text-based reports. Nat Haz Earth Syst Sci 16(3):801–819

  • Svoboda M (2009) Applying the Standardized Precipitation Index as a Drought Indicator National Drought Mitigation Center, University of Nebraska-Lincoln, Mali Drought Monitoring Workshop, Bamako September 14–17

  • Wang C, Zheng J, Lin W, Wang Y (2023a) Unprecedented heatwave in western north america during late June of 2021: roles of atmospheric circulation and global warming. Adv Atmos Sci 40(1):14–28

    Article  Google Scholar 

  • Wang HJ, Merz R, Yang S, Tarasova L, Basso S (2023b) Emergence of heavy tails in streamflow distributions: the role of spatial rainfall variability. Adv Water Resour 171:104359

    Article  Google Scholar 

  • Wang X-J, Zhang J-Y, Amgad E, He R-M, Zhang L-R, Chen F (2011) Water demand forecasting under changing environment: a System Dynamics approach, Risk in Water Resources Management (Proceedings of Symposium H03 held during IUGG2011 in Melbourne, Australia, July 2011) (IAHS Publ. 347, 2011)

  • Zhang Y, Cabilio P, Nadeem K (2016) Improved seasonal Mann–Kendall tests for trend analysis in water resources time series. In: Li W, Stanford D, Yu H (eds) Advances in time series methods and applications. Fields Institute Communications, vol 78. Springer, New York. https://doi.org/10.1007/978-1-4939-6568-7_10

Download references

Funding

No funding is available.

Author information

Authors and Affiliations

Authors

Contributions

S.E.A.R wrote the main paper and prepard figures ; A,B and B.C and F.H and M.B reviewed the manuscript.

Corresponding author

Correspondence to Salah Eddine Ali Rahmani.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (XLSX 61 KB)

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.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ali Rahmani, S.E., Chibane, B., Boucefiane, A. et al. Heavy tail distribution and Deuterium excess for drought assessment case of Djelfa- watershed (Algeria). Theor Appl Climatol (2024). https://doi.org/10.1007/s00704-024-04999-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00704-024-04999-3

Navigation