Abstract
Space–time variability of precipitation plays a key role as driver of many environmental processes. The objective of this study is to evaluate a spatiotemporal (STG) Neyman–Scott Rectangular Pulses (NSRP) generator over orographically complex terrain for statistical downscaling of climate models. Data from 145 rain gauges over a 5760-km2 area of Cyprus for 1980–2010 were used for this study. The STG was evaluated for its capacity to reproduce basic rainfall statistical properties, spatial intermittency, and extremes. The results were compared with a multi-single site NRSP generator (MSG). The STG performed well in terms of average annual rainfall (+1.5 % in comparison with the 1980–2010 observations), but does not capture spatial intermittency over the study area and extremes well. Daily events above 50 mm were underestimated by 61 %. The MSG produced a similar error (+1.1 %) in terms of average annual rainfall, while the daily extremes (>50-mm) were underestimated by 11 %. A gridding scheme based on scaling coefficients was used to interpolate the MSG data. Projections of three Regional Climate Models, downscaled by MSG, indicate a 1.5–12 % decrease in the mean annual rainfall over Cyprus for 2020–2050. Furthermore, the number of extremes (>50-mm) for the 145 stations is projected to change between −24 and +2 % for the three models. The MSG modelling approach maintained the daily rainfall statistics at all grid cells, but cannot create spatially consistent daily precipitation maps, limiting its application to spatially disconnected applications. Further research is needed for the development of spatial non-stationary NRSP models.
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References
Ailliot P, Thomson C, Thomson P (2009) Space-time modelling of precipitation by using a hidden Markov model and censored Gaussian distributions. J R Stat Soc Appl Stat 58:405–426. doi:10.1111/j.1467-9876.2008.00654.x
Apipattanavis S, Podesta G, Rajagopalan B, Katz RW (2007) A semi parametric multivariate and multisite weather generator. Water Resour Res 43:W11401. doi:10.1029/2006WR005714
Avellan T, Zabel F, Mauser W (2012) The influence of input data quality in determining areas suitable for crop growth at the global scale—a comparative analysis of two soil and climate datasets. Soil Use Manag 28:249–265. doi:10.1111/j.1475-2743.2012.00400.x
Badas MG, Deidda R, Piga E (2006) Modulation of homogeneous space-time rainfall cascades to account for orographic influences. Nat Hazards Earth Syst Sci 6:427–437. doi:10.5194/nhess-6-427-2006
Baigorria GA, Jones JW (2010) GiST: a stochastic model for generating spatially and temporally correlated daily rainfall data. J Clim 23(22):5990–6008. doi:10.1175/2010JCLI3537.1
Boé J, Terray L, Habets F, Martin E (2007) Statistical and dynamical downscaling of the Seine basin climate for hydro-meteorological studies. Int J Climatol 27:1643–1655. doi:10.1002/joc.1602
Bordoy R, Burlando P (2014) Stochastic downscaling of precipitation to high-resolution scenarios in orographically complex regions: 1. Model evaluation. Water Resour Res 50:540–561. doi:10.1002/2012WR013289
Borgomeo E, Hall JW, Fung F, Watts G, Colquhoun K, Lambert C (2014) Risk-based water resources planning: incorporating probabilistic nonstationary climate uncertainties. Water Resour Res 50:6850–6873. doi:10.1002/2014WR015558
Brissette F, Khalili M, Leconte R (2007) Efficient stochastic generation of multisite synthetic precipitation data. J Hydrol 345:121–133. doi:10.1016/j.jhydrol.2007.06.035
Burton A, Kilsby CG, Fowler HJ, Cowpertwait PSP, O’Connell PE (2008) RainSim: a spatial-temporal stochastic rainfall modelling system. Environ Model Softw 23:1356–1369. doi:10.1016/j.envsoft.2008.04.003
Burton A, Fowler HJ, Blenkinsop S, Kilsby CG (2010a) Downscaling transient climate change using a Neyman-Scott Rectangular Pulses stochastic rainfall model. J Hydrol 381:18–32. doi:10.1016/j.jhydrol.2009.10.031
Burton A, Fowler HJ, Kilsby CG, O’Connell PE (2010b) A stochastic model for the spatial-temporal simulation of non-homogeneous rainfall occurrence and amounts. Water Resour Res 46:W11501. doi:10.1029/2009WR008884
Camera C, Bruggeman A, Hadjinicolaou P, Pashiardis S, Lange MA (2014) Evaluation of interpolation techniques for the creation of gridded daily precipitation (1 × 1 km2); Cyprus, 1980–2010. J Geophys Res Atmos 119:693–712. doi:10.1002/2013JD020611
Caraway NM, McCreight JL, Rajagopalan B (2014) Multisite stochastic weather generation using cluster analysis and k-nearest neighbor time series resampling. J Hydrol 508:197–213. doi:10.1016/j.jhydrol.2013.10.054
Chandler RE, Wheater HS (2002) Analysis of rainfall variability using generalized linear models: a case study from the west of Ireland. Water Resour Res 38:1192. doi:10.1029/2001WR000906
Costa V, Fernandes W, Naghettini M (2015) A Bayesian model for stochastic generation of daily precipitation using an upper-bounded distribution function. Stoch Environ Res Risk Assess 29:563–576. doi:10.1007/s00477-014-0880-9
Cowpertwait PSP (1995) A generalized spatial-temporal model of rainfall based on a clustered point process. Proc R Soc London Ser A 450:163–175. doi:10.1098/rspa.1995.0077
Cowpertwait PSP, Kilsby CG, O’Connell PE (2002) A space-time Neyman-Scott model of rainfall: empirical analysis of extremes. Water Resour Res 38:1131. doi:10.1029/2001WR000709
Cowpertwait PSP, Ocio D, Collazos G, de Cos O, Stocker C (2013) Regionalised spatiotemporal rainfall and temperature models for flood studies in the Basque Country, Spain. Hydrol Earth Syst Sci 17:479–494. doi:10.5194/hess-17-479-2013
Deidda R, Benzi R, Siccardi F (1999) Multifractal modeling of anomalous scaling laws in rainfall. Water Resour Res 35:1853–1867. doi:10.1029/1999WR900036
Forsythe N, Fowler HJ, Blenkinsop S, Burton A, Kilsby CG, Archer DR, Harpham C, Hashmi MZ (2014) Application of a stochastic weather generator to assess climate change impacts in a semi-arid climate: the Upper Indus Basin. J Hydrol 517:1019–1034. doi:10.1016/j.jhydrol.2014.06.031
Fowler HJ, Kilsby CG, O’Connell PE, Burton A (2005) A weather-type conditioned multi-site stochastic rainfall model for the generation of scenarios of climatic variability and change. J Hydrol 308:50–66. doi:10.1016/j.jhydrol.2004.10.021
Fowler HJ, Blenkinsop S, Tebaldi C (2007) Linking climate change modelling to impacts studies: recent advances in downscaling techniques for hydrological modelling. Int J Climatol 27:1547–1578. doi:10.1002/joc.1556
Gires A, Onof C, Maksimovic C, Schertzer D, Tchiguirinskaia I, Simões N (2012) Quantifying the impact of small scale unmeasured rainfall variability on urban runoff through multifractal downscaling: a case study. J Hydrol 442–443:117–128
Gonçalves M, Barrera-Escoda A, Guerreiro D, Baldasano JM, Cunillera J (2014) Seasonal to yearly assessment of temperature and precipitation trends in the North Western Mediterranean Basin by dynamical downscaling of climate scenarios at high resolution (1971–2050). Clim Chang 122:243–256. doi:10.1007/s10584-013-0994-y
Groppelli B, Bocchiola D, Rosso R (2011) Spatial downscaling of precipitation from GCMs for climate change projections using random cascades: a case study in Italy. Water Resour Res 47:W03519. doi:10.1029/2010WR009437
Hadjinicolaou P, Giannakopoulos C, Zerefos C, Lange MA, Pashiardis S, Lelieveld J (2011) Mid-21st century climate and weather extremes in Cyprus as projected by six regional climate models. Reg Environ Chang 11:441–457. doi:10.1007/s10113-010-0153-1
Harrold TI, Sharma A, Sheather SJ (2003) A nonparametric model for stochastic generation of daily rainfall amounts. Water Resour Res 39:1–12. doi:10.1029/2003WR002570
Hashmi MZ, Shamseldin AY, Melville BW (2011) Comparison of SDSM and LARS-WG for simulation and downscaling of extreme precipitation events in a watershed. Stoch Environ Res Risk Assess 25:475–484. doi:10.1007/s00477-010-0416-x
Khalili M, Brisette F, Leconte R (2009) Stochastic multi-site generation of daily weather data. Stoch Environ Res Risk Assess 23:837–849. doi:10.1007/s00477-008-0275-x
Kilsby CG, Jones PD, Burton A, Ford AC, Fowler HJ, Harpham C, James P, Smith A, Wilby RL (2007) A daily weather generator for use in climate change studies. Environ Model Softw 22:1705–1719. doi:10.1016/j.envsoft.2007.02.005
Kim T, Ahn H, Chung G, Yoo C (2008) Stochastic multi-site generation of daily rainfall occurrence in south Florida. Stoch Environ Res Risk Assess 22:705–717. doi:10.1007/s00477-007-0180-8
Kizza M, Westerberger I, Rodhe A, Ntale HK (2012) Estimating areal rainfall over Lake Victoria and its basin using ground-based and satellite data. J Hydro 464–465:401–411. doi:10.1016/j.jhydrol.2012.07.024
Kleiber W, Katz RW, Rajagopalan B (2012) Daily spatiotemporal precipitation simulation using latent and transformed Gaussian processes. Water Resour Res 48:1–17. doi:10.1029/2011WR011105
Langousis A, Carsteanu AA, Deidda R (2013) A simple approximation to multifractal rainfall maxima using a generalized extreme value distribution model. Stoch Environ Res Risk Assess 27:1525–1531. doi:10.1007/s00477-013-0687-0
Law AM, Kelton WD (1991) Simulation modelling and analysis. McGraw-Hill, New York
Lelieveld J, Hadjinicolaou P, Kostopoulou E, Chenoweth J, El Maayar M, Giannakopoulos C, Hannides C, Lange MA, Tanarhte M, Tyrlis E, Xoplaki E (2012) Climate change and impacts in the Eastern Mediterranean and the Middle East. Clim Chang 114:667–687. doi:10.1007/s10584-012-0418-4
Marani M (2003) On the correlation structure of continuous and discrete point rainfall. Water Resour Res 39:1128. doi:10.1029/2002WR001456
Maraun D, Wetterhall F, Ireson AM, Chandler RE, Kendon EJ, Widmann M, Brienen S, Rust HW, Sauter T, Themeßl M, Venema VKC, Chun KP, Goodess CM, Jones RG, Onof C, Vrac M, Thiele-Eich I (2010) Precipitation downscaling under climate change: Recent developments to bridge the gap between dynamical models and the end user. Rev Geophys 48:RG3003. doi:10.1029/2009RG000314
Mascaro G, Piras M, Deidda R, Vivoni ER (2013) Distributed hydrologic modeling of a sparsely monitored basin in Sardinia, Italy, through hydrometeorological downscaling. Hydrol Earth Syst Sci 17:4143–4158. doi:10.5194/hess-17-4143-2013
Matlas NC (1967) Mathematical assessment of synthetic hydrology. Water Resour Res 3:937–945. doi:10.1029/WR003i004p00937
McRobie FH, Wang L-P, Onof C, Kenney S (2013) A spatial-temporal rainfall generator for urban drainage design. Water Sci Technol 68:240–249. doi:10.2166/wst.2013.241
Mehrotra R, Sharma A, Cordery I (2004) Comparison of two approaches for downscaling synoptic atmospheric patterns to multi-site precipitation occurrence. J Geophys Res Atmos 109:D14107. doi:10.1029/2004JD004823
Mehrotra R, Srikanthan R, Sharma A (2006) A comparison of three stochastic multi-site precipitation occurrence generators. J Hydrol 331:280–292. doi:10.1016/j.jhydrol.2006.05.016
Mehrotra R, Li J, Westra S, Sharma A (2015) A programming tool to generate multi-site daily rainfall using a two-stage semi parametric model. Environ Model Softw 63:230–239. doi:10.1016/j.envsoft.2014.10.016
Michaelides SC, Tymvios FS, Michaelidou T (2009) Spatial and temporal characteristics of the annual rainfall frequency distribution in Cyprus. Atmos Res 94:606–615. doi:10.1016/j.atmosres.2009.04.008
Molnar P, Burlando P (2008) Variability in the scale properties of high-resolution precipitation data in the Alpine climate of Switzerland. Water Resour Res 44:W10404. doi:10.1029/2007WR006142
Moron V, Robertson AW, Ward MN, Ndiaye O (2008) Weather types and rainfall over Senegal. Part II: downscaling GCM simulations. J Clim 21:288–307. doi:10.1175/2007JCLI1624.1
Olsson J, Burlando P (2002) Reproduction of temporal scaling by a rectangular pulses rainfall model. Hydrol Process 16:611–630. doi:10.1002/hyp.307
Parkes BL, Wetterhall F, Pappenberger F, He Y, Malamud BD, Cloke HL (2013) Assessment of a 1-hour gridded precipitation dataset to drive a hydrological model: a case study of the summer 2007 floods in the Upper Severn, UK. Hydrol Res 44:89–105. doi:10.2166/nh.2011.025
Perica S, Foufoula-Georgiou E (1996) Model for multiscale disaggregation of spatial rainfall based on coupling meteorological and scaling descriptions. J Geophys Res Atmos 101:26347–26361. doi:10.1029/96JD01870
Prudhomme C, Reynard N, Crooks S (2002) Downscaling of global climate models for flood frequency analysis: where are we now? Hydrol Process 16:1137–1150. doi:10.1002/hyp.1054
Rodrigues-Iturbe I, Cox DR, Isham V (1987) Some models for rainfall based on stochastic point processes. Proc R Soc Lond Ser A 410:269–288. doi:10.1098/rspa.1987.0039
Rummukainen M (2010) State-of-the-art with regional climate models. WIREs Clim Chang 1:82–96. doi:10.1002/wcc.8
Simões N, Ochoa-Rodríguez S, Wang LP, Pina R, Sa Marques A, Onof C, Leitão J (2015) Stochastic urban pluvial flood hazard maps based upon a spatial-temporal rainfall generator. Water 7:3396–3406. doi:10.3390/w7073396
Supit I, van Diepen CA, de Wit AJW, Wolf J, Kabat P, Baruth B, Ludwig F (2012) Assessing climate change effects on European crop yields using the crop growth monitoring system and a weather generator. Agric For Meteorol 164:96–111. doi:10.1016/j.agrformet.2012.05.005
van der Linden P, Mitchell JFB (2009) ENSEMBLES: climate change and its impacts. Summary of research and results from the ENSEMBLES project. Met Office Hadley Centre, Exeter. http://ensembles-eu.metoffice.com/docs/Ensembles_final_report_Nov09.pdf. Accessed 22 Sept 2014
Van Vilet MTH, Blenkinsop S, Burton A, Harpham C, Broers HP, Fowler HJ (2012) A multi-model ensemble of downscaled spatial climate change scenarios for the Dommel catchment, Western Europe. Clim Chang 111:249–277. doi:10.1007/s10584-011-0131-8
Veneziano D, Furcolo P, Iacobellis V (2006) Imperfect scaling of time and space-time rainfall. J Hydrol 322:105–119. doi:10.1016/j.jhydrol.2005.02.044
Venugopal V, Roux SG, Foufoula-Georgiou E, Arneodo A (2006) Revisiting multifractality of high-resolution temporal rainfall using a wavelet-based formalism. Water Resour Res 42:W06D14. doi:10.1029/2005WR004489
Verdin A, Rajagopalan B, Kleiber W, Katz RW (2015) Coupled stochastic weather generation using spatial and generalized linear models. Stoch Environ Res Risk Assess 29:347–356. doi:10.1007/s00477-014-0911-6
Wilks DS (1998) Multisite generalization of a daily stochastic precipitation generation model. J Hydrol 210:178–191. doi:10.1016/S0022-1694(98)00186-3
Wilks DS (2009) A gridded multisite weather generator and synchronization to observed weather data. Water Resour Res 45:W10419. doi:10.1029/2009WR007902
Willems P (2001) A spatial rainfall generator for small spatial scales. J Hydrol 252:126–144. doi:10.1016/S0022-1694(01)00446-2
Yang C, Chandler RE, Isham VS, Wheater HS (2005) Spatial-temporal rainfall simulation using generalized linear models. Water Resour Res 41:W11415. doi:10.1029/2004WR003739
Yates D, Gangopadhyay S, Rajagopalan B, Strzepek K (2003) A technique for generating regional climate scenarios using a nearest-neighbor algorithm. Water Resour Res 39:1199. doi:10.1029/2002WR001769
Zhang X, Aguilar E, Sensoy S et al (2005) Trends in Middle East climate extreme indices from 1950 to 2003. J Geophys Res Atmos 110:D22104. doi:10.1029/2005JD006181
Acknowledgments
This study is part of the AGWATER project (ΑΕΙΦΟΡΙΑ/ΓΕΩΡΓΟ/0311(ΒΙΕ)/06), co-financed by the European Regional Development Fund and the Republic of Cyprus through the Research Promotion Foundation.
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Camera, C., Bruggeman, A., Hadjinicolaou, P. et al. Evaluation of a spatial rainfall generator for generating high resolution precipitation projections over orographically complex terrain. Stoch Environ Res Risk Assess 31, 757–773 (2017). https://doi.org/10.1007/s00477-016-1239-1
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DOI: https://doi.org/10.1007/s00477-016-1239-1