Abstract
Droughts are regional incidents that threat the environment and limit most of the socio-economic activities. Given the dry and wet state sequences for two sites, \(X_t^{\left( 1 \right)} \) and \(X_t^{\left( 2 \right)} \), this paper presents a procedure to reduce the two sequences \(X_t^{\left( 1 \right)} \) and \(X_t^{\left( 2 \right)} \) to one sequence Z t for the purpose of simplifying the analysis of drought duration at two sites jointly. Theoretical models to evaluate the expected value and the variance of the process Z t and the occurrence probability of the dry state at two sites jointly are presented and verified using simulation experiments. Historical data for the period 1939–2005 and generated rainy season precipitation data for two gauging sites in Central Jordan, namely Amman Airport and Madaba, is used in the present study to investigate the occurrence of droughts. The joint analysis of drought duration obtained using the historical precipitation at the two sites appears to be inconsistent especially for droughts of duration longer than 3 years. On the other hand, the joint analysis of drought duration obtained theoretically by employing the characteristics of the process Z t are found to match well with the more reliable drought statistics obtained empirically by analyzing the long generated precipitation. Considering 25 years planning horizon, droughts of 1, 2, and 3 years duration are the most frequent droughts in the region of Central Jordan. The return period of such regional droughts ranges from 8–30 years.
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References
Al-Salihi A (2003) Drought identification and characterization in Jordan. J Arid Environ 53(4):585–606. doi:10.1006/jare.2002.1057
Bayazit M (1981) Distribution of joint run-length of bivariate Markov processes. J Hydrol (Amst) 50:35–43. doi:10.1016/0022-1694(81)90060-3
Bayazit M, Onoz B (2005) Probabilities and return periods of multisite droughts. Hydrol Sci 50(4):605–615. doi:10.1623/hysj.2005.50.4.605
Blenkinsop S, Fowler H (2007) Changes in drought frequency, severity and duration for the British Isles projected by the PRUDENCE regional climate models. J Hydrol (Amst) 342:50–71. doi:10.1016/j.jhydrol.2007.05.003
Bonaccorso B, Bordi I, Cancelliere A, Rossi G, Sutera A (2003) Spatial variability of drought: an analysis of the SPI in Sicily. Water Resour Manage 17:273–296. doi:10.1023/A:1024716530289
Bras R, Rodriguez-Iturbe I (1993) Random functions and hydrology, 1st edn. Dover, New York
Byun H, Wilhite D (1999) Objective quantification of drought severity and duration. J Clim 12:2747–2756. doi:10.1175/1520-0442(1999)012<2747:OQODSA>2.0.CO;2
Cancelliere A, Di Mauro G, Bonaccorso B, Rossi G (2007) Drought forecasting using the standardized precipitation index. Water Resour Manage 21:801–819. doi:10.1007/s11269-006-9062-y
Douglas E, Vogel R, Kroll C (2002) Impact of streamflow persistence on hydrologic design. J Hydrol Eng 7(3):220–227. doi:10.1061/(ASCE)1084-0699(2002)7:3(220)
Guerrero-Salazar P, Yevjevich V (1975) Analysis of drought characteristics by the theory of runs. Hydrology Paper 80, Colorado State University, Fort Collins
Hammouri N, El-Naqa A (2007) Drought assessment using GIS and remote sensing in Amman-Zarqa basin, Jordan. Jordan J Civ Eng 1(2):142–152
Hisdal H, Tallaksen L (2003) Estimation of regional meteorological and hydrological drought characteristics: a case study for Denmark. J Hydrol (Amst) 281:230–247. doi:10.1016/S0022-1694(03)00233-6
Javier M, Gomez L (1999) Regionalization of peninsular Spain based on the length of dry spells. Int J Climatol 19:537–555. doi:10.1002/(SICI)1097-0088(199904)19:5<537::AID-JOC371>3.0.CO;2-X
Loukas A, Vasiliades L (2004) Probabilistic analysis of drought spatiotemporal characteristics in Thessaly region, Greece. Nat Hazards Earth Syst Sci 4:719–731
Paulo A, Pereira L (2008) Stochastic prediction of drought class transitions. Water Resour Manage 22:1277–1296. doi:10.1007/s11269-007-9225-5
Paulo A, Ferreira E, Coelho C, Pereira L (2005) Drought class transition analysis through Markov and Loglinear models, an approach to early warning. Agric Water Manag 77:59–81. doi:10.1016/j.agwat.2004.09.039
Rossi G, Cancelliere A (2003) At-site and regional drought identification by REDIM model. In: Rossi G et al (eds) Tools for drought mitigation in Mediterranean Regions. Kluwer, Dordrecht
Salas J, Chung C, Fernandez B (2001) Relating autocorrelations and crossing rates of continuous and discrete valued hydrologic processes. J Hydrol Eng 6(2):109–118. doi:10.1061/(ASCE)1084-0699(2001)6:2(109)
Salas J, Fu C, Cancelliere A, Dustin D, Bode D, Pineda A, Vincent E (2005) Characterizing the severity and risk of drought in the Poudre River, Colorado. J Water Resour Plan Manage 131(5):383–393. doi:10.1061/(ASCE)0733-9496(2005)131:5(383)
Santos M (1983) Regional droughts: a stochastic characterization. J Hydrol (Amst) 66:183–211. doi:10.1016/0022-1694(83)90185-3
Sen Z (1998) Probabilistic formulation of spatio-temporal drought pattern. Theor Appl Climatol 61:197–206. doi:10.1007/s007040050064
Shiau J (2006) Fitting drought duration and severity with two-dimensional copulas. Water Resour Manage 20:795–815. doi:10.1007/s11269-005-9008-9
Shin H, Salas J (2000) Regional drought analysis based on neural networks. J Hydraul Eng 5(2):145–155. doi:10.1061/(ASCE)1084-0699(2000)5:2(145)
Tarawneh Z, Hadadin N, Bdour A (2008) Policies to enhance water sector in Jordan. Am J Appl Sci 5(6):698–704
Touchan R, Meko D, Hughes M (1999) A 396-year reconstruction of precipitation in Southern Jordan. J Am Water Resour Assoc 35(1):49–59. doi:10.1111/j.1752-1688.1999.tb05451.x
Yevjevich V (1967) An objective approach to definitions and investigations of continental hydrologic droughts. Hydrology paper 23, Colorado State University, Fort Collins
Yevjevich V (1972) Stochastic processes in hydrology, 1st edn. Water Resources, Fort Collins
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Tarawneh, Z.S., Elgaali, E.A. & Hamdi, M.R. Bi-site Analysis of Meteorological Drought Duration: Theoretical Modeling and Application. Water Resour Manage 23, 3005–3018 (2009). https://doi.org/10.1007/s11269-009-9420-7
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DOI: https://doi.org/10.1007/s11269-009-9420-7