Stochastic downscaling of climate model precipitation outputs in orographically complex regions: 2. Downscaling methodology

[1] A new methodology of stochastic downscaling of climate model precipitation outputs to subdaily temporal resolution and in a multisite framework is presented. The methodology is based on the reparameterization for future climate of the Spatiotemporal Neyman-Scott Rectangular Pulses model. The reparameterization is carried out by estimating the model parameters as done for the calibration of the model for the historical climate and using future statistics that are obtained: (i) applying to the daily historical statistics a factor of change computed from the control and future climate model outputs and (ii) by rescaling the altered daily statistics according to the scaling properties exhibited by the historical raw moments, in order to generate the future statistics at the temporal resolutions required by the reparameterization procedure. The downscaled scenarios are obtained in a multisite framework accounting for cross correlations among the stations. The methodology represents a robust, efficient, and unique approach to generate multiple series of spatially distributed subdaily precipitation scenarios by Monte Carlo simulation. It presents thus a unique alternative for addressing the internal variability of the precipitation process at high temporal and spatial resolution, as compared to other downscaling techniques, which are affected by both computational and resolution problems. The application of the presented approach is demonstrated for a region of complex orography where the model has proved to provide good results, in order to analyze potential changes in such vulnerable areas.

[1]  P. Burlando,et al.  Variability in the scale properties of high‐resolution precipitation data in the Alpine climate of Switzerland , 2008 .

[2]  R. Leander,et al.  Resampling of regional climate model output for the simulation of extreme river flows , 2007 .

[3]  Chris Kilsby,et al.  A space‐time Neyman‐Scott model of rainfall: Empirical analysis of extremes , 2002 .

[4]  Raquel V. Francisco,et al.  Regional Climate Modeling for the Developing World: The ICTP RegCM3 and RegCNET , 2007 .

[5]  Edward C. Waymire,et al.  A statistical analysis of mesoscale rainfall as a random cascade , 1993 .

[6]  Hayley J. Fowler,et al.  Linking climate change modelling to impacts studies: recent advances in downscaling techniques for hydrological modelling , 2007 .

[7]  Chris Kilsby,et al.  A weather-type conditioned multi-site stochastic rainfall model for the generation of scenarios of climatic variability and change , 2005 .

[8]  S. Hagemann,et al.  Statistical bias correction of global simulated daily precipitation and temperature for the application of hydrological models , 2010 .

[9]  P. Burlando,et al.  Stochastic downscaling of precipitation to high‐resolution scenarios in orographically complex regions: 1. Model evaluation , 2014 .

[10]  M. Semenov,et al.  USE OF A STOCHASTIC WEATHER GENERATOR IN THE DEVELOPMENT OF CLIMATE CHANGE SCENARIOS , 1997 .

[11]  P. O'Gorman,et al.  The physical basis for increases in precipitation extremes in simulations of 21st-century climate change , 2009, Proceedings of the National Academy of Sciences.

[12]  Hayley J. Fowler,et al.  RainSim: A spatial-temporal stochastic rainfall modelling system , 2008, Environ. Model. Softw..

[13]  Philip J. Rasch Atmospheric General Circulation Modeling , 2012 .

[14]  Valerie Isham,et al.  Some models for rainfall based on stochastic point processes , 1987, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[15]  H. Y. Mok,et al.  Scaling and trends of hourly precipitation extremes in two different climate zones – Hong Kong and the Netherlands , 2011 .

[16]  F. Giorgi,et al.  Does the model regional bias affect the projected regional climate change? An analysis of global model projections , 2010 .

[17]  Marco Marani,et al.  On the correlation structure of continuous and discrete point rainfall , 2003 .

[18]  M. Grosjean,et al.  Climate Variability and Change in High Elevation Regions: Past, Present and Future , 2003 .

[19]  Richard G. Jones,et al.  An inter-comparison of regional climate models for Europe: model performance in present-day climate , 2007 .

[20]  Renzo Rosso,et al.  Extreme storm rainfall and climatic change , 1991 .

[21]  H. Fowler,et al.  A stochastic model for the spatial‐temporal simulation of nonhomogeneous rainfall occurrence and amounts , 2010 .

[22]  Paul S. P. Cowpertwait,et al.  A generalized spatial-temporal model of rainfall based on a clustered point process , 1995, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[23]  P. Burlando,et al.  Effects of transient climate change on basin hydrology. 1. Precipitation scenarios for the Arno River, central Italy , 2002 .

[24]  Paul S. P. Cowpertwait,et al.  A spatial–temporal point process model of rainfall for the Thames catchment, UK , 2006 .

[25]  A. Gobiet,et al.  Analysis of uncertainty in large scale climate change projections over Europe , 2011 .

[26]  Mark E. J. Newman,et al.  Power-Law Distributions in Empirical Data , 2007, SIAM Rev..

[27]  V. Ivanov,et al.  Simulation of future climate scenarios with a weather generator , 2011 .

[28]  C. Harpham,et al.  A daily weather generator for use in climate change studies , 2007, Environ. Model. Softw..

[29]  Nicola Rebora,et al.  A comparison of stochastic models for spatial rainfall downscaling , 2003 .

[30]  Martin Beniston,et al.  CLIMATIC CHANGE AT HIGH ELEVATION SITES: AN OVERVIEW , 1997 .

[31]  G. Lenderink,et al.  Increase in hourly precipitation extremes beyond expectations from temperature changes , 2008 .

[32]  Paul Switzer,et al.  Stochastic space‐time regional rainfall modeling adapted to historical rain gauge data , 2006 .

[33]  J. Olsson,et al.  Limits and characteristics of the multifractal behaviour of a high-resolution rainfall time series , 1995 .

[34]  Peter H. Gleick,et al.  Methods for evaluating the regional hydrologic impacts of global climatic changes , 1986 .

[35]  Budong Qian,et al.  Evaluation of the stochastic weather generators LARS-WG and AAFC-WG for climate change impact studies , 2005 .

[36]  Renzo Rosso,et al.  Scaling and muitiscaling models of depth-duration-frequency curves for storm precipitation , 1996 .

[37]  V. Iacobellis,et al.  Multiscaling pulse representation of temporal rainfall , 2002 .

[38]  J. Olsson,et al.  Climate change impact assessment on urban rainfall extremes and urban drainage: Methods and shortcomings , 2012 .

[39]  Downscaling rainfall temporal variability , 2007 .

[40]  Marc Soutter,et al.  Toward a robust method for subdaily rainfall downscaling from daily data , 2011 .

[41]  G. Zängl,et al.  Regional climate simulations for the European Alpine Region—sensitivity of precipitation to large-scale flow conditions of driving input data , 2011 .

[42]  P. Burlando,et al.  Bias Correction of Regional Climate Model Simulations in a Region of Complex Orography , 2013 .

[43]  J. Christensen,et al.  On the need for bias correction of regional climate change projections of temperature and precipitation , 2008 .

[44]  Shaun Lovejoy,et al.  Multifractals, universality classes and satellite and radar measurements of cloud and rain fields , 1990 .

[45]  R. Deidda Rainfall downscaling in a space‐time multifractal framework , 2000 .

[46]  Pier Luigi Vidale,et al.  The application of Regional Climate Model output for the simulation of high-mountain permafrost scenarios , 2007 .

[47]  Luis Kornblueh,et al.  Sensitivity of Simulated Climate to Horizontal and Vertical Resolution in the ECHAM5 Atmosphere Model , 2006 .

[48]  M. Kendall,et al.  Kendall's Advanced Theory of Statistics: Volume 1 Distribution Theory , 1987 .

[49]  J. Haerter,et al.  Unexpected rise in extreme precipitation caused by a shift in rain type? , 2009, Nature Geoscience.

[50]  A. Bárdossy Generating precipitation time series using simulated annealing , 1998 .

[51]  Jonas Olsson,et al.  Reproduction of temporal scaling by a rectangular pulses rainfall model , 2002 .

[52]  Daniel S. Wilks,et al.  A gridded multisite weather generator and synchronization to observed weather data , 2009 .

[53]  A. Stuart,et al.  Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory , 1988 .

[54]  Jason J. Levit,et al.  Multiscale Statistical Properties of a High-Resolution Precipitation Forecast , 2001 .

[55]  F. Giorgi,et al.  Climate Scenarios for the Southeastern U.S. Based on GCM and Regional Model Simulations , 2003 .

[56]  Simon Jaun,et al.  On interpreting hydrological change from regional climate models , 2007 .

[57]  D. Wilks Multisite downscaling of daily precipitation with a stochastic weather generator , 1999 .

[58]  R. Molina Spatiotemporal downscaling of climate scenarios in regions of complex orography , 2013 .

[59]  Geoffrey G. S. Pegram,et al.  Design rainfall estimation in South Africa using Bartlett–Lewis rectangular pulse rainfall models , 2002 .

[60]  V. Ivanov,et al.  Assessment of a stochastic downscaling methodology in generating an ensemble of hourly future climate time series , 2013, Climate Dynamics.

[61]  A. Gobiet,et al.  Empirical‐statistical downscaling and error correction of daily precipitation from regional climate models , 2011 .

[62]  J. Evans,et al.  A conditional disaggregation algorithm for generating fine time-scale rainfall data in a warmer climate , 2013 .