Drought characterization: A probabilistic approach

Stochastic Environmental Research and Risk Assessment

Volumn 23, Issue 1, 2009, Pages 41-55

  Mishra, A K ^a   Singh, V P ^b   Desai, V R ^c  

^a MCMASTER UNIVERSITY   (Canada)

^b Texas A and M University   (United States)

^c INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Alternative renewal process; Droughts; JPDF; Kansabati River basin; Markov chains; Probability models; SPI

Indexed keywords

ALTERNATIVE RENEWAL PROCESS; JPDF; KANSABATI RIVER BASIN; MARKOV CHAINS; PROBABILITY MODELS; SPI;

DROUGHT; INTERCHANGES; MARKOV PROCESSES; PROBABILITY; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; WATERSHEDS;

PROBABILITY DENSITY FUNCTION;

DROUGHT; MARKOV CHAIN; PRECIPITATION (CLIMATOLOGY); PROBABILITY;

ASIA; EURASIA; INDIA; KANSABATI BASIN; SOUTH ASIA; WEST BENGAL;

EID: 56449092539     PISSN: 14363240     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00477-007-0194-2     Document Type: Article

References (39)

1. Bussay A, Szinell C, Szentimery T (1999) Investigations and measurements of droughts in Hungary. Hungarian Meterological Service, Budapest
2. Chung CH, Salas JD (2000) Drought occurrence probabilities and risks of dependent hydrological processes. J Hydrol Eng ASCE 5(3):259-268
3. Dracup JA, Kendall DR (1990) Floods and droughts. In: Waggoner PE (eds) Climate change and US water resources. Wiley, New York, pp 243-267
4. Dracup JA, Lee KS, Paulson EG (1980) On the statistical characteristics of drought events. Water Resour Res 16(2):289-296
5. Fernandez B, Salas JD (1999a) Return period and risk of hydrologic events. I: Mathematical formulation. J Hydrol Eng ASCE 4(4):297-307
6. Fernandez B, Salas JD (1999b) Return period and risk of hydrologic events. II: Applications. J Hydrol Eng ASCE 4(4):308-316
7. González J, Valdés JB (2003) Bivariate drought recurrence analysis using tree rings reconstructions. J Hydrol Eng ASCE 8(5):247-258
8. Guttman NB (1998) Comparing the palmer drought index and standardized precipitation index. J Am Water Resour Assoc 34(1):113-121
9. Guttman NB (1999) Accepting the standardized precipitation index: A calculation algorithm. J Am Water Resour Assoc 35(2):311-322
10. Haan CT (2002) Statistical methods in hydrology. The Iowa State University Press, Ames, p 496
11. Hayes MJ, Svoboda MD, Wilhite DA, Vanyarkho OV (1999) Monitoring the 1996 drought using the standardized precipitation index. Bull Am Meteorol Soc 80:429-438
12. Hughes BL, Saunders MA (2002) A drought climatology for Europe. Int J Climatol 22:1571-1592
13. Kendel DR, Dracup JA (1992) On the generation of drought events using an alternating renewal-reward model. Stochast Hydro Hydr 6(1):55-68
14. Kim T, Valdés JB, Yoo C (2003) Nonparametric approach for estimating return periods of droughts in arid regions. J Hydrol Eng ASCE 8(5):237-246
15. Kim T, Valdés JB, Yoo C (2006) Nonparametric Approach for Bivariate Drought Characterization Using Palmer Drought Index. J Hydrol Eng ASCE 11(2):134-143
16. Lana X, Serra C, Burgueño A (1998) Spatial and temporal characterization ofannual extreme droughts in Catalonia (Northern Spain). Int J Climatol 18:93-110
17. Lana X, Serra C, Burgueño A (1998) Spatial and temporal characterization of annual extreme droughts in catalonia (Northern Spain). Int J Clim 18:93-110
18. Loaiciga HA, Leipnik RB (1996) Stochastic renewal model of low-flow stream sequences. Stochast Hydro Hydr 10(1):65-85
19. Mathier L, Perreault L, Ashkar F (1992) The use of geometric and gamma related distributions for frequency analysis of water deficit. Stochast Hydro Hydr 6(4):239-254
20. McKee TB, Doesken NJ, Kleist J (1993) The relationship of drought frequency and duration to time scales. In: Preprints, 8th conference on applied climatology, Anaheim, California, 17-22 January 1993, pp 179-184
21. Medhi J (2002) Stochastic models in queueing theory, 2nd edn. Academic Press, New York, p 450, ISBN 0-12-487462-2
22. Mishra AK, Desai VR (2005a) Spatial and temporal drought analysis in the Kansabati River Basin, India. Int J River Basin Manage IAHR 3(1):31-41
23. Mishra AK, Desai VR (2005b) Drought forecasting using stochastic models. Stochast Environ Res Risk Assess 19:326-339
24. Mishra AK, Desai VR (2006c) Drought forecasting using feed-forward recursive neural network. Ecol model 198:127-138
25. Palmer WC (1965) Meteorological drought. Research paper no. 45, US Department of Commerce, Weather Bureau, Washington, DC
26. Redmond KT (2000) Integrated climate monitoring for drought detection. In: Wilhite DA (eds)ADrought: a global assessment. Routledge, pp 145-158
27. Ross SM (2000) Introduction to probability models. Harcourt India Pvt. Ltd, New Delhi
28. Salas JD (1993) Analysis and modeling of hydrologic time series. In: Maidment DR (eds) Handbook of hydrology, McGraw Hill, New York, pp 19.1-19.72
29. Sen Z (1976) Wet and dry periods of annual flow series. J Hydrol Div ASCE 106(HY1):99-115
30. Shiau JT, Shen HW (2001) Recurrence analysis of hydrologic droughts of differing severity. J Water Resour Plan Manage ASCE 127(1):30-40
31. Stedinger JR, Vogel RM, Foufoula-Georgiou E (1993) Frequency analysis of extreme events. In: Maidment DR (eds) Handbook of hydrology, McGraw Hill, New York, pp 18.1-18.66
32. Steinemann A (2003) Drought indicators and triggers: A stochastic approach to evaluation. J Am Water Resour Assoc 39(5):1217-1233
33. Szalai S, Szinell C (2000). Comparison of two drought indices for drought monitoring in Hungary - a case study, In: Vogt JV, Somma F (eds) Drought and drought mitigation in Europe, Kluwer, Dordrecht, pp 161-166
34. Wilhite DA, Rosenberg NJ, Glantz MH (1986) Improving federal response to drought. J Clim Appl Meteorol 25:332-342
35. Wolff RW (1989) Stochastic modeling and the theory of queues. Prentice-Hall Inc., Englewood Cliffs
36. Yevjevich V (1967) An objective approach to definitions and investigations of continental hydrologic droughts. Hydrol. Papers 23, Colorado State University Publication, Colorado State University, Fort Collins, Colorado, USA
37. Yue S (1999) Applying bivariate normal distribution to flood frequency analysis. Water Int IWRA 24(3):248-254
38. Zelenhastic E, Salvai A (1987) A method of streamflow drought analysis. Water Resour Res 23(1):156-168
39. Zhang L, Singh VP (2006) Bivariate flood frequency analysis using the copula method. J Hydrol Eng ASCE 11(2):150-164