Downscaling Extremes—An Intercomparison of Multiple Statistical Methods for Present Climate

G. Bürger Pacific Climate Impacts Consortium, University of Victoria, Victoria, British Columbia, Canada

Search for other papers by G. Bürger in
Current site
Google Scholar
PubMed
Close
,
T. Q. Murdock Pacific Climate Impacts Consortium, University of Victoria, Victoria, British Columbia, Canada

Search for other papers by T. Q. Murdock in
Current site
Google Scholar
PubMed
Close
,
A. T. Werner Pacific Climate Impacts Consortium, University of Victoria, Victoria, British Columbia, Canada

Search for other papers by A. T. Werner in
Current site
Google Scholar
PubMed
Close
,
S. R. Sobie Pacific Climate Impacts Consortium, University of Victoria, Victoria, British Columbia, Canada

Search for other papers by S. R. Sobie in
Current site
Google Scholar
PubMed
Close
, and
A. J. Cannon Environment Canada, Vancouver, British Columbia, Canada

Search for other papers by A. J. Cannon in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

Five statistical downscaling methods [automated regression-based statistical downscaling (ASD), bias correction spatial disaggregation (BCSD), quantile regression neural networks (QRNN), TreeGen (TG), and expanded downscaling (XDS)] are compared with respect to representing climatic extremes. The tests are conducted at six stations from the coastal, mountainous, and taiga region of British Columbia, Canada, whose climatic extremes are measured using the 27 Climate Indices of Extremes (ClimDEX; http://www.climdex.org/climdex/index.action) indices. All methods are calibrated from data prior to 1991, and tested against the two decades from 1991 to 2010. A three-step testing procedure is used to establish a given method as reliable for any given index. The first step analyzes the sensitivity of a method to actual index anomalies by correlating observed and NCEP-downscaled annual index values; then, whether the distribution of an index corresponds to observations is tested. Finally, this latter test is applied to a downscaled climate simulation. This gives a total of 486 single and 162 combined tests. The temperature-related indices pass about twice as many tests as the precipitation indices, and temporally more complex indices that involve consecutive days pass none of the combined tests. With respect to regions, there is some tendency of better performance at the coastal and mountaintop stations. With respect to methods, XDS performed best, on average, with 19% (48%) of passed combined (single) tests, followed by BCSD and QRNN with 10% (45%) and 10% (31%), respectively, ASD with 6% (23%), and TG with 4% (21%) of passed tests. Limitations of the testing approach and possible consequences for the downscaling of extremes in these regions are discussed.

Corresponding author address: G. Bürger, P.O. Box 3060 Stn CSC, University House 1, Pacific Climate Impacts Consortium (PCIC), University of Victoria, Victoria BC V8W 3R4, Canada. E-mail: gbuerger@uvic.ca

Abstract

Five statistical downscaling methods [automated regression-based statistical downscaling (ASD), bias correction spatial disaggregation (BCSD), quantile regression neural networks (QRNN), TreeGen (TG), and expanded downscaling (XDS)] are compared with respect to representing climatic extremes. The tests are conducted at six stations from the coastal, mountainous, and taiga region of British Columbia, Canada, whose climatic extremes are measured using the 27 Climate Indices of Extremes (ClimDEX; http://www.climdex.org/climdex/index.action) indices. All methods are calibrated from data prior to 1991, and tested against the two decades from 1991 to 2010. A three-step testing procedure is used to establish a given method as reliable for any given index. The first step analyzes the sensitivity of a method to actual index anomalies by correlating observed and NCEP-downscaled annual index values; then, whether the distribution of an index corresponds to observations is tested. Finally, this latter test is applied to a downscaled climate simulation. This gives a total of 486 single and 162 combined tests. The temperature-related indices pass about twice as many tests as the precipitation indices, and temporally more complex indices that involve consecutive days pass none of the combined tests. With respect to regions, there is some tendency of better performance at the coastal and mountaintop stations. With respect to methods, XDS performed best, on average, with 19% (48%) of passed combined (single) tests, followed by BCSD and QRNN with 10% (45%) and 10% (31%), respectively, ASD with 6% (23%), and TG with 4% (21%) of passed tests. Limitations of the testing approach and possible consequences for the downscaling of extremes in these regions are discussed.

Corresponding author address: G. Bürger, P.O. Box 3060 Stn CSC, University House 1, Pacific Climate Impacts Consortium (PCIC), University of Victoria, Victoria BC V8W 3R4, Canada. E-mail: gbuerger@uvic.ca
Save
  • Allen, D., A. Cannon, M. Toews, and J. Scibek, 2010: Variability in simulated recharge using different GCMs. Water Resour. Res., 46, W00F03, doi:10.1029/2009WR008932.

    • Search Google Scholar
    • Export Citation
  • Benestad, R. E., 2010: Downscaling precipitation extremes. Theor. Appl. Climatol., 100, 121.

  • Bronstert, A., 2004: Rainfall runoff modelling for assessing impacts of climate and land use change. Hydrol. Processes, 18, 567570.

  • Bürger, G., 1996: Expanded downscaling for generating local weather scenarios. Climate Res., 7, 111128.

  • Bürger, G., and Y. Chen, 2005: Regression-based downscaling of spatial variability for hydrologic applications. J. Hydrol., 311 (1–4), 299317.

    • Search Google Scholar
    • Export Citation
  • Bürger, G., D. Reusser, and D. Kneis, 2009: Early flood warnings from empirical (expanded) downscaling of the full ECMWF Ensemble Prediction System. Water Resour. Res., 45, W10443, doi:10.1029/2009WR007779.

    • Search Google Scholar
    • Export Citation
  • Busuioc, A., R. Tomozeiu, and C. Cacciamani, 2008: Statistical downscaling model based on canonical correlation analysis for winter extreme precipitation events in the Emilia Romagna region. Int. J. Climatol., 28, 449464.

    • Search Google Scholar
    • Export Citation
  • Cannon, A. J., 2008: Probabilistic multisite precipitation downscaling by an expanded Bernoulli–Gamma density network. J. Hydrometeor., 9, 12841300.

    • Search Google Scholar
    • Export Citation
  • Cannon, A. J., 2011: Quantile regression neural networks: Implementation in R and application to precipitation downscaling. Comput. Geosci., 37, 12771284, doi:16/j.cageo.2010.07.005.

    • Search Google Scholar
    • Export Citation
  • Cannon, A. J., P. H. Whitfield, and E. R. Lord, 2002: Synoptic map-pattern classification using recursive partitioning and principal component analysis. Mon. Wea. Rev., 130, 11871206.

    • Search Google Scholar
    • Export Citation
  • Chen, S. C., 2002: Model mismatch between global and regional simulations. Geophys. Res. Lett., 29, 1060, doi:10.1029/2001GL013570.

  • Christensen, N., and D. P. Lettenmaier, 2007: A multimodel ensemble approach to assessment of climate change impacts on the hydrology and water resources of the Colorado River Basin. Hydrol. Earth Syst. Sci., 11, 14171434.

    • Search Google Scholar
    • Export Citation
  • Christensen, N., A. W. Wood, N. Voisin, D. P. Lettenmaier, and R. N. Palmer, 2004: The effects of climate change on the hydrology and water resources of the Colorado River basin. Climatic Change, 62, 337363.

    • Search Google Scholar
    • Export Citation
  • Dehn, M., and J. Buma, 1999: Modelling future landslide activity based on general circulation models. Geomorphology, 30 (1–2), 175187.

    • Search Google Scholar
    • Export Citation
  • Dehn, M., G. Bürger, J. Buma, and P. Gasparetto, 2000: Impact of climate change on slope stability using expanded downscaling. Eng. Geol., 55, 193204.

    • Search Google Scholar
    • Export Citation
  • Department of Defense, cited 2002: DoD News Briefing—Secretary Rumsfeld and Gen. Myers. [Available online at http://www.defense.gov/transcripts/transcript.aspx?transcriptid=2636.]

  • Dibike, Y. B., and P. Coulibaly, 2006: Temporal neural networks for downscaling climate variability and extremes. Neural Networks, 19, 135144.

    • Search Google Scholar
    • Export Citation
  • Dryden, I. L., and K. V. Mardia, 1998: Statistical Shape Analysis. Wiley, 376 pp.

  • Easterling, D. R., 1999: Development of regional climate scenarios using a downscaling approach. Climatic Change, 41, 615634.

  • Ebisuzaki, W., 1997: A method to estimate the statistical significance of a correlation when the data are serially correlated. J. Climate, 10, 21472153.

    • Search Google Scholar
    • Export Citation
  • Fowler, H. J., S. Blenkinsop, and C. Tebaldi, 2007: Linking climate change modelling to impacts studies: Recent advances in downscaling techniques for hydrological modelling. Int. J. Climatol., 27, 15471578.

    • Search Google Scholar
    • Export Citation
  • Gachon, P., and Y. Dibike, 2007: Temperature change signals in northern Canada: Convergence of statistical downscaling results using two driving GCMs. Int. J. Climatol., 27, 16231641.

    • Search Google Scholar
    • Export Citation
  • Harpham, C., and R. L. Wilby, 2005: Multi-site downscaling of heavy daily precipitation occurrence and amounts. J. Hydrol., 312 (1–4), 235255.

    • Search Google Scholar
    • Export Citation
  • Hay, L. E., and M. P. Clark, 2003: Use of statistically and dynamically downscaled atmospheric model output for hydrologic simulations in three mountainous basins in the western United States. J. Hydrol., 282 (1–4), 5675, doi:10.1016/S0022-1694(03)00252-X.

    • Search Google Scholar
    • Export Citation
  • Hayhoe, K., and Coauthors, 2007: Past and future changes in climate and hydrological indicators in the US Northeast. Climate Dyn., 28, 381407.

    • Search Google Scholar
    • Export Citation
  • Haylock, M. R., G. C. Cawley, C. Harpham, R. L. Wilby, and C. M. Goodess, 2006: Downscaling heavy precipitation over the United Kingdom: A comparison of dynamical and statistical methods and their future scenarios. Int. J. Climatol., 26, 13971415.

    • Search Google Scholar
    • Export Citation
  • Hessami, M., P. Gachon, T. B. M. J. Ouarda, and A. St-Hilaire, 2008: Automated regression-based statistical downscaling tool. Environ. Modell. Software, 23, 813834.

    • Search Google Scholar
    • Export Citation
  • Huth, R., 2004: Sensitivity of local daily temperature change estimates to the selection of downscaling models and predictors. J. Climate, 17, 640652.

    • Search Google Scholar
    • Export Citation
  • IPCC, cited 2007: Scenario data for the atmospheric environment. [Available online at http://www.ipcc-data.org/sres/ddc_sres_emissions.html.]

  • Kanamitsu, M., W. Ebisuzaki, J. Woollen, S. K. Yang, J. Hnilo, M. Fiorino, and G. Potter, 2002: NCEP–DOE AMIP-II Reanalysis (R-2). Bull. Amer. Meteor. Soc., 83, 16311644.

    • Search Google Scholar
    • Export Citation
  • Khan, M. S., P. Coulibaly, and Y. Dibike, 2006: Uncertainty analysis of statistical downscaling methods. J. Hydrol., 319 (1–4), 357382.

    • Search Google Scholar
    • Export Citation
  • Kharin, V. V., and F. W. Zwiers, 2000: Changes in the extremes in an ensemble of transient climate simulations with a coupled atmosphere–ocean GCM. J. Climate, 13, 37603788.

    • Search Google Scholar
    • Export Citation
  • Kharin, V. V., F. W. Zwiers, X. Zhang, and G. C. Hegerl, 2007: Changes in temperature and precipitation extremes in the IPCC ensemble of global coupled model simulations. J. Climate, 20, 14191444.

    • Search Google Scholar
    • Export Citation
  • Kundzewicz, Z., and E. Stakhiv, 2010: Are climate models “ready for prime time” in water resources management applications, or is more research needed? Hydrol. Sci. J., 55, 10851089.

    • Search Google Scholar
    • Export Citation
  • Kysely, J., 2002: Comparison of extremes in GCM-simulated, downscaled and observed central-European temperature series. Climate Res., 20, 211222.

    • Search Google Scholar
    • Export Citation
  • Mannshardt-Shamseldin, E. C., R. L. Smith, S. R. Sain, L. O. Mearns, and D. Cooley, 2010: Downscaling extremes: A comparison of extreme value distributions in point-source and gridded precipitation data. Ann. Appl. Stat., 4, 484502.

    • Search Google Scholar
    • Export Citation
  • Maraun, D., and Coauthors, 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.

    • Search Google Scholar
    • Export Citation
  • Maurer, E. P., and P. B. Duffy, 2005: Uncertainty in projections of streamflow changes due to climate change in California. Geophys. Res. Lett., 32, L03704, doi:10.1029/2004GL021462.

    • Search Google Scholar
    • Export Citation
  • Maurer, E. P., andH. G. Hidalgo, 2008: Utility of daily vs. monthly large-scale climate data: An intercomparison of two statistical downscaling methods. Hydrol. Earth Syst. Sci., 12, 551563.

    • Search Google Scholar
    • Export Citation
  • Maurer, E. P., L. Brekke, T. Pruitt, and P. Duffy, 2007: Fine-resolution climate projections enhance regional climate change impact studies. Eos, Trans. Amer. Geophys. Union, 88, 504, doi:10.1029/2007EO470006.

    • Search Google Scholar
    • Export Citation
  • Meehl, G. A., G. J. Boer, C. Covey, M. Latif, and R. J. Stouffer, 2000: The Coupled Model Intercomparison Project (CMIP). Bull. Amer. Meteor. Soc., 81, 313318.

    • Search Google Scholar
    • Export Citation
  • Menzel, L., and G. Bürger, 2002: Climate change scenarios and runoff response in the Mulde catchment (Southern Elbe, Germany). J. Hydrol., 267 (1–2), 5364.

    • Search Google Scholar
    • Export Citation
  • Menzel, L., A. H. Thieken, D. Schwandt, and G. Bürger, 2006: Impact of climate change on the regional hydrology–scenario-based modelling studies in the German Rhine catchment. Nat. Hazards, 38, 4561.

    • Search Google Scholar
    • Export Citation
  • Min, S.-K., X. Zhang, F. W. Zwiers, and G. C. Hegerl, 2011: Human contribution to more-intense precipitation extremes. Nature, 470, 378381, doi:10.1038/nature09763.

    • Search Google Scholar
    • Export Citation
  • Müller-Wohlfeil, D. I., G. Bürger, and W. Lahmer, 2000: Response of a river catchment to climatic change: Application of expanded downscaling to northern Germany. Climatic Change, 47, 6189.

    • Search Google Scholar
    • Export Citation
  • Olsson, J., C. Uvo, and K. Jinno, 2001: Statistical atmospheric downscaling of short-term extreme rainfall by neural networks. Phys. Chem. Earth, 26B, 695700.

    • Search Google Scholar
    • Export Citation
  • Panofsky, H. A., and G. W. Brier, 1958: Some Applications of Statistics to Meteorology. The Pennsylvania State University, 224 pp.

  • Peterson, T. C., 2005: Climate change indices. WMO Bull., 54, 8386.

  • Quinonero-Candela, J., C. Rasmussen, F. Sinz, O. Bousquet, and B. Schölkopf 2006: Evaluating predictive uncertainty challenge. Machine Learning Challenges: Evaluating Predictive Uncertainty, Visual Object Classification, and Recognising Tectual Entailment, J. Quinonero-Candela et al., Eds., Springer, 1–27.

  • Salathe, E. P., Jr., P. W. Mote, and M. W. Wiley, 2007: Review of scenario selection and downscaling methods for the assessment of climate change impacts on hydrology in the United States Pacific Northwest. Int. J. Climatol., 27, 16111621.

    • Search Google Scholar
    • Export Citation
  • Sausen, R., K. Barthel, and K. Hasselmann, 1988: Coupled ocean–atmosphere models with flux correction. Climate Dyn., 2, 145163.

  • Schmidli, J., C. M. Goodess, C. Frei, M. R. Haylock, Y. Hundecha, J. Ribalaygua, and T. Schmith, 2007: Statistical and dynamical downscaling of precipitation: An evaluation and comparison of scenarios for the European Alps. J. Geophys. Res., 112, D04105, doi:10.1029/2005JD007026.

    • Search Google Scholar
    • Export Citation
  • Schnorbus, M., K. Bennett, A. Werner, and A. Berland, 2011: Hydrologic impacts of climate change in the Peace, Campbell and Columbia Watersheds, British Columbia, Canada. Pacific Climate Impacts Consortium Hydrologic Modelling Project Final Rep., 175 pp. [Available online at http://pacificclimate.org/sites/default/files/publications/Schnorbus.HydroModelling.FinalReport2.Apr2011.pdf.]

  • Schubert, S., and A. Henderson-Sellers, 1997: A statistical model to downscale local daily temperature extremes from synoptic-scale atmospheric circulation patterns in the Australian region. Climate Dyn., 13, 223234.

    • Search Google Scholar
    • Export Citation
  • Seber, G. A. F., and A. J. Lee, 2003: Linear Regression Analysis. Wiley, 582 pp.

  • Sillmann, J., and E. Roeckner, 2007: Indices for extreme events in projections of anthropogenic climate change. Climatic Change, 86, 83104, doi:10.1007/s10584-007-9308-6.

    • Search Google Scholar
    • Export Citation
  • Stahl, K., R. D. Moore, J. M. Shea, D. Hutchinson, and A. J. Cannon, 2008: Coupled modelling of glacier and streamflow response to future climate scenarios. Water Resour. Res., 44, W02422, doi:10.1029/2007WR005956.

    • Search Google Scholar
    • Export Citation
  • Taylor, J. W., 2000: A quantile regression neural network approach to estimating the conditional density of multiperiod returns. J. Forecasting, 19, 299311.

    • Search Google Scholar
    • Export Citation
  • Tebaldi, C., K. Hayhoe, J. M. Arblaster, and G. A. Meehl, 2006: Going to the extremes. Climatic Change, 79, 185211.

  • VanRheenen, N. T., A. W. Wood, R. N. Palmer, and D. P. Lettenmaier, 2004: Potential implications of PCM climate change scenarios for Sacramento–San Joaquin River Basin hydrology and water resources. Climatic Change, 62, 257281.

    • Search Google Scholar
    • Export Citation
  • von Storch, H., 1999: On the use of “inflation” in statistical downscaling. J. Climate, 12, 35053506.

  • Vrac, M., and P. Naveau, 2007: Stochastic downscaling of precipitation: From dry events to heavy rainfalls. Water Resour. Res., 43, W07402, doi:10.1029/2006WR005308.

    • Search Google Scholar
    • Export Citation
  • Wilby, R. L., 2005: Uncertainty in water resource model parameters used for climate change impact assessment. Hydrol. Processes, 19, 32013219.

    • Search Google Scholar
    • Export Citation
  • Wilby, R. L., L. E. Hay, and G. H. Leavesley, 1999: A comparison of downscaled and raw GCM output: Implications for climate change scenarios in the San Juan River basin, Colorado. J. Hydrol., 225 (1–2), 6791.

    • Search Google Scholar
    • Export Citation
  • Wilby, R. L., C. W. Dawson, and E. M. Barrow, 2002: SDSM—A decision support tool for the assessment of regional climate change impacts. Environ. Modell. Software, 17, 145157.

    • Search Google Scholar
    • Export Citation
  • Wilby, R. L., O. Tomlinson, and C. Dawson, 2003: Multi-site simulation of precipitation by conditional resampling. Climate Res., 23, 183194.

    • Search Google Scholar
    • Export Citation
  • Wilby, R. L., S. P. Charles, E. Zorita, B. Timbal, P. Whetton, and L. O. Mearns, 2004: Guidelines for use of climate scenarios developed from statistical downscaling methods. IPCC Task Group on Data and Scenario Support for Impacts and Climate Analysis, 27 pp. [Available online at http://www.narccap.ucar.edu/doc/tgica-guidance-2004.pdf.]

  • Wilby, R. L., P. Whitehead, A. Wade, D. Butterfield, R. Davis, and G. Watts, 2006: Integrated modelling of climate change impacts on water resources and quality in a lowland catchment: River Kennet, UK. J. Hydrol., 330 (1–2), 204220.

    • Search Google Scholar
    • Export Citation
  • Wood, A., E. Maurer, A. Kumar, and D. P. Lettenmaier, 2002: Long-range experimental hydrologic forecasting for the eastern United States. J. Geophys. Res., 107, 4429, doi:10.1029/2001JD000659.

    • Search Google Scholar
    • Export Citation
  • Zhang, X., and Coauthors, 2011: Indices for monitoring changes in extremes based on daily temperature and precipitation data. WIREs Climate Change, 2, 851870, doi:10.1002/wcc.147.

    • Search Google Scholar
    • Export Citation
  • Zorita, E., and H. von Storch, 1999: The analog method as a simple statistical downscaling technique: Comparison with more complicated methods. J. Climate, 12, 24742489.

    • Search Google Scholar
    • Export Citation
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 3694 807 182
PDF Downloads 1851 326 26