Skip to main content
Log in

Drought Severity Assessment Based on Bivariate Probability Analysis

  • Published:
Water Resources Management Aims and scope Submit manuscript

Abstract

Conventionally drought severity is assessed based on drought indices. Recently the Reconnaissance Drought Index (RDI) was proposed to assess drought severity based on the precipitation to potential evapotranspiration ratio (P/PET). In this paper RDI is studied as a bivariate index under a set of assumptions and simplifications. The paper presents a simple computational procedure for estimating the P/PET ratio for selected reference periods varying from 3 to 12 months, for any return period of drought. Alternatively, based on this procedure, the severity of any drought episode is rationally assessed. A bivariate probability analysis is employed based on the assumption that P and PET values are normally distributed and often negatively correlated. Examples for the application of the proposed procedure are presented using data from several meteorological stations in Greece. It is shown that the assumption of normality of both P and PET holds for long periods at all examined stations.

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.

Similar content being viewed by others

References

  • Alexakis D, Tsakiris G (2010) Drought impacts on karstic spring annual water potential. Application on Almyros (H. Crete) brackish spring. Desalin Water Treatment 16:1–9

    Google Scholar 

  • Ang A, Tung W (1975) Probability concepts in engineering planning and design, vol I—basic principles. Wiley, Hoboken

    Google Scholar 

  • Bhalme HN, Mooley DA (1980) Large-scale drought/floods and monsoon circulation. Mon Weather Rev 108:1197–1211

    Article  Google Scholar 

  • Bryant SJ, Arnell NW, Law FM (1992) The long term context for the current hydrological drought. In: IWEM conf on the management of scarce water resources

  • Burden J, Faires D (1997) Study guide for numerical analysis brooks. Cole Publishing Company

  • Byun HR, Wilhite DA (1999) Objective quantification of drought severity and duration. J Climate 12:2747–2756

    Article  Google Scholar 

  • Commission of the European Communities (2007) Communication from the Commission to the Council and the European Parliament “Addressing the challenge of water scarcity and droughts in the European Union”

  • Edossa DC, Babel MS, Guota AD (2010) Drought analysis in the Awash River Basin, Ethiopia. Water Resour Manage 24:1441–1460

    Article  Google Scholar 

  • Fieller EC (1932) The distribution of the index in a normal bivariate population. Biometrica 24:428–440

    Google Scholar 

  • Gerald C, Wheatley P (1994) Applied numerical analysis. Addison-Wesley, Reading

    Google Scholar 

  • Graybill FA (1961) An introduction to linear statistical models. McGraw-Hill, New York

    Google Scholar 

  • Haan C (1977) Statistical hydrology. Iowa State University Press, Ames

    Google Scholar 

  • Hargreaves GH, Samani ZA (1982) Estimating potential evapotranspiration. ASCE J Irrig Drain Div 108(3):225–230

    Google Scholar 

  • Hinkley DV (1969) On the ratio of two correlated normal random variables. Biometrika 56(3):635–639

    Article  Google Scholar 

  • Hollinger SE, Isard SA, Welford MR (1993) A new soil moisture drought index for predicting crop yields. In: Eighth conference on applied climatology, American Meteorological Society, Anaheim (CA), 17–22 January 1993, AMS, pp 187–190

    Google Scholar 

  • Iglesias A, Cancelliere A, Wilhite DA, Garrote L, Cubillo F (2009) Coping with drought risk in agriculture and water supply systems—drought management and policy development in the Mediterranean. In: Advances in Natural and Technological Hazards Research, vol 26, 320 p

  • Kanellou E, Domenikiotis C, Blanta A, Hondronikou E, Dalezios NR (2008) Index-based drought assessment in semi-arid areas of Greece based on conventional data. Eur Water 23/24:87–98

    Google Scholar 

  • Katz RW, Glantz MH (1986) Anatomy of a rainfall index. Mon Weather Rev 114:764–771

    Article  Google Scholar 

  • McKee TB, Doesken NJ, Kleist J (1993) The relationship of drought frequency and duration to time scale. In: Eighth conference on applied climatology, American Meteorological Society, Anaheim (CA), 17–22 January 1993, AMS, pp 179–184

    Google Scholar 

  • Meyer SJ, Hubbard KG, Wilhite DA (1993) A crop specific drought index for corn. Part 1, modern development and validation. Agron J 85:388–395

    Article  Google Scholar 

  • Nalbantis I, Tsakiris G (2009) Assessment of hydrological drought revisited. Water Resour Manage 23:881–897

    Article  Google Scholar 

  • Narasimhan B, Srinivasan R (2005) Development and evaluation of Soil Moisture Deficit Index (SMDI) and Evapotranspiration Deficit Index (ETDI) for agricultural drought monitoring. Agric For Meteorol 133:69–88

    Article  Google Scholar 

  • Palmer WC (1965) Meteorological drought. Research Paper No 45, US Department of Commerce Weather Bureau, Washington

    Google Scholar 

  • Palmer WC (1968) Keeping track of crop moisture conditions, nationwide: the new Crop Moisture Index. Weatherwise 21:156–161

    Article  Google Scholar 

  • Shafer BA, Dezman LE (1982) Development of a Surface Water Supply Index (SWSI) to assess the severity of drought conditions in snowpack runoff areas. In: Proceedings of the Western Snow conference, Reno (NV), 19–23 April 1982, Colorado State Univ, Fort Collins (CO), pp 164–175

  • Stahl K (2001) Hydrological drought—a study across Europe. Dissertation, Albert-Ludwigs Universitat Freiburg, Freiburg, 121 p

  • Tigkas D (2008) Drought characterisation and monitoring in regions of Greece. Eur Water 23/24:29–39

    Google Scholar 

  • Tsakiris G (2008a) Uni-dimensional analysis of drought for management decisions. Eur Water 23/24:3–11

    Google Scholar 

  • Tsakiris G (ed) (2008b) Proactive management of water systems to face drought and water scarcity in islands and coastal areas of the Mediterranean (PRODIM)—final report. CANaH Publication 6/08, Athens, Greece

    Google Scholar 

  • Tsakiris G, Spiliotis M (2010) Planning against long term water scarcity: a fuzzy multicriteria approach. Water Resour Manage. doi:10.1007/s11269-010-9692-y

    Google Scholar 

  • Tsakiris G, Vangelis H (2004) Towards a drought watch system based on Spatial SPI. Water Resour Manage 18(1):1–12

    Article  Google Scholar 

  • Tsakiris G, Vangelis H (2005) Establishing a drought index incorporating evapotranspiration. Eur Water 9/10:3–11

    Google Scholar 

  • Tsakiris G, Pangalou D, Vangelis H (2007a) Regional drought assessment based on the Reconnaissance Drought Index (RDI). Water Resour Manage 21:821–833

    Article  Google Scholar 

  • Tsakiris G, Tigkas D, Vangelis H, Pangalou D (2007b) Regional drought identification and assessment—case study in Crete. In: Rossi et al (ed) Methods and tools for drought analysis and management. Springer, The Netherlands, pp 169–191

    Chapter  Google Scholar 

  • Tucker CJ (1979) Red and photographic infrared linear combinations for monitoring vegetation. Remote Sens Environ 8:127–150

    Article  Google Scholar 

  • UNEP (1992) World Atlas of desertification. Edward Arnold, London

    Google Scholar 

  • Van Rooy MP (1965) A rainfall anomaly index independent of time and space. Notos, Weather Bur South Africa 14:43–48

    Google Scholar 

  • Yue S (2000) Joint probability distribution of annual maximum storm peaks and amounts as represented by daily rainfalls Hydrotogical. Sciences Journal 45(2):315–326

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mike Spiliotis.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vangelis, H., Spiliotis, M. & Tsakiris, G. Drought Severity Assessment Based on Bivariate Probability Analysis. Water Resour Manage 25, 357–371 (2011). https://doi.org/10.1007/s11269-010-9704-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11269-010-9704-y

Keywords

Navigation