Technical Papers
Apr 30, 2020

Optimization and Variants of Quantile-Based Methods for Bias Corrections of Statistically Downscaled Precipitation Data

Publication: Journal of Hydrologic Engineering
Volume 25, Issue 7

Abstract

New optimization and variants of quantile-based methods are developed for bias corrections of monthly and daily general circulation model (GCM)-based statistically downscaled precipitation data. These methods use optimization formulations involving several linear and nonlinear corrections with single and multiple objectives and integrate artificial neural networks (ANNs) with quantile matching (QM) methods. The proposed methods were evaluated at 18 rain gauge sites in Florida using several error and performance measures. Downscaled monthly precipitation data are derived from two statistical downscaling models, including a support vector machine (SVM)-based method developed in this study. Downscaled daily precipitation data from two different climatic zones are also used for the evaluation of bias-correction methods. The methods are assessed based on several performance and error measures, along with their ability to replicate all the moments of the distribution. The selection of the best method among several others for a specific site was found to be dependent on specific performance and error measures adopted for evaluation. The proposed methods not only replicated the observed precipitation data distributions but also minimized the quantitative errors between observed and downscaled precipitation data sets, which could not be accomplished using existing methods. ANN-based methods performed better than QM-based ones in replicating extreme precipitation indices at a daily temporal scale. The multiobjective optimization methods require careful selection of objectives and assignment of weights, with the latter heavily influencing the performance of methods. Variation in performances of methods is observed when methods are calibrated with varying baseline periods with a constant length of test data.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request:
Monthly precipitation data at several rain gauges in the study region is obtained from United States Historical Climatology Network (USHCN) data set available from Menne et al. (2016)
The coupled global climate model (CGCM3) is obtained from the Canadian Center for Climate Modeling and Analysis (CCCMA 2013)
Downscaled monthly precipitation data of CGCM3 model and A1B scenario for the period 1950–2000 using bias correction and spatial disaggregation (BCSD) procedure is obtained from Reclamation (2013)
Downscaled daily precipitation data from the Canadian Centre for Climate Modeling and Analysis model CanESM2 is obtained from World Climate Research Program’s (WCRP) Coupled Model Intercomparison Project phase 5 data set (WCRP 2011)

References

Berg, P., H. Feldmann, and H. J. Panitz. 2012. “Bias correction of high-resolution regional climate model data.” J. Hydrol. 448–449: 80–92. https://doi.org/10.1016/j.jhydrol.2012.04.026.
Brent, R. P. 1971. “An algorithm with guaranteed convergence for finding a zero of a function.” Comput. J. 14 (4): 422–425. https://doi.org/10.1093/comjnl/14.4.422.
Cannon, A. J., S. R. Sobie, and T. Q. Murdock. 2015. “Bias correction of GCM precipitation by quantile mapping: How well do methods preserve changes in quantiles and extremes?” J. Clim. 28: 6938–6959. https://doi.org/10.1175/JCLI-D-14-00754.1.
CCCMA (Canadian Center for Climate Modeling and Analysis). 2013. “The coupled global climate model (CGCM3).” Accessed April 27, 2020. https://climate-modelling.canada.ca/data/cgcm3/cgcm3.shtml.
Cha, S.-H. 2007. “Comprehensive survey on distance/similarity measures between probability density functions.” City 1 (2): 1.
Chau, K. W., C. Wu, and Y. S. Li. 2005. “Comparison of several flood forecasting models in Yangtze River.” J. Hydrol. Eng. 10 (6): 485–491. https://doi.org/10.1061/(ASCE)1084-0699(2005)10:6(485).
Christensen, J. H., and O. B. Christensen. 2004. “Intensification of extreme European summer precipitation in a warmer climate.” Global Planet. Change 44 (1–4): 107–117. https://doi.org/10.1016/j.gloplacha.2004.06.013.
Cybenko, G. 1989. “Approximation by superpositions of a sigmoidal function.” Math. Control Signals Syst. 2 (4): 303–314. https://doi.org/10.1007/BF02551274.
Ghosh, S., and P. P. Mujumdar. 2008. “Statistical downscaling of GCM simulations to streamflow using relevance vector machine.” Adv. Water Resour. 31 (1): 132–146. https://doi.org/10.1016/j.advwatres.2007.07.005.
Giustolisi, O., and D. Laucelli. 2005. “Improving generalization of artificial neural networks in rainfall–runoff modelling/Amélioration de la généralisation de réseaux de neurones artificiels pour la modélisation pluie-débit.” Hydrol. Sci. J. 50 (3): 457. https://doi.org/10.1623/hysj.50.3.439.65025.
Goly, A. 2013. Influences of climate variability and change on precipitation characteristics and extremes. Boca Raton, FL: Florida Atlantic University.
Goly, A., and R. S. V. Teegavarapu. 2013. “Multi-objective optimization methods for bias correction of statistically downscaled precipitation.” In Proc., World Environmental and Water Resources Congress 2013. Cincinnati: World Environmental and Water Resources Congress. https://doi.org/10.1061/9780784412947.116.
Goly, A., R. S. V. Teegavarapu, and A. Mondal. 2014. “Development and evaluation of statistical downscaling models for monthly precipitation.” Earth Interact. 18 (18): 1–28. https://doi.org/10.1175/EI-D-14-0024.1.
Hay, L. E., R. L. Wilby, and G. H. Leavesley. 2000. “Comparison of delta change and downscaled GCM scenarios for three mountainous basins in the United States.” J. Am. Water Resour. Assoc. 36 (2): 387–397. https://doi.org/10.1111/j.1752-1688.2000.tb04276.x.
Hornik, K., M. Stinchcombe, and H. White. 1989. “Multilayer feedforward networks are universal approximators.” Neural Networks 2 (5): 359–366. https://doi.org/10.1016/0893-6080(89)90020-8.
Jolliffe, I. T., and D. B. Stephenson. 2011. Forecast verification: A practitioner’s guide in atmospheric science. New York: Wiley.
Kottek, M., J. Grieser, C. Beck, B. Rudolf, and F. Rubel. 2006. “World map of Köppengeiger climate classification updated.” Meteorol. Z. 15 (3): 259–263. https://doi.org/10.1127/0941-2948/2006/0130.
Lafon, T., S. Dadson, G. Buys, and C. Prudhomme. 2012. “Bias correction of daily precipitation simulated by a regional climate model: A comparison of methods.” Int. J. Climatol. 33 (6): 1367–1381. https://doi.org/10.1002/joc.3518.
Lagarias, J. C., J. A. Reeds, M. H. Wright, and P. E. Wright. 1998. “Convergence properties of the Nelder-Mead simplex method in low dimensions.” SIAM J. Optim. 9 (1): 112–147. https://doi.org/10.1137/S1052623496303470.
Leander, R., and T. A. Buishand. 2007. “Resampling of regional climate model output for the simulation of extreme river flows.” J. Hydrol. 332 (3–4): 487–496. https://doi.org/10.1016/j.jhydrol.2006.08.006.
Lenderink, G., A. Buishand, and W. Van Deursen. 2007. “Estimates of future discharges of the river Rhine using two scenario methodologies: Direct versus delta approach.” Hydrol. Earth Syst. Sci. 11 (3): 1145–1159. https://doi.org/10.5194/hess-11-1145-2007.
Li, H., J. Sheffield, and E. F. Wood. 2010. “Bias correction of monthly precipitation and temperature fields from Intergovernmental Panel on Climate Change AR4 models using equidistant quantile matching.” J. Geophys. Res. 115: D10101. https://doi.org/10.1029/2009JD012882.
Maraun, D. 2016. “Bias correcting climate change simulations: A critical review.” Curr. Clim. Change Rep. 2 (4): 211. https://doi.org/10.1007/s40641-016-0050-x.
Maurer, E. P., L. Brekke, T. Pruitt, and P. B. Duffy. 2007. “Fine-resolution climate projections enhance regional climate change impact studies.” Eos Trans. Am. Geophys. Union 88 (47): 504. https://doi.org/10.1029/2007EO470006.
Maurer, E. P., and H. G. Hidalgo. 2008. “Utility of daily vs. monthly large scale climate data: An intercomparison of two statistical downscaling methods.” Hydrol. Earth Syst. Sci. 12 (2): 551–563. https://doi.org/10.5194/hess-12-551-2008.
Maurer, E. P., A. W. Wood, J. C. Adam, D. P. Lettenmaier, and B. Nijssen. 2002. “A long-term hydrologically-based data set of land surface fluxes and states for the conterminous United States.” J. Clim. 15 (22): 3237–3251. https://doi.org/10.1175/1520-0442(2002)015%3C3237:ALTHBD%3E2.0.CO;2.
Menne, M., C. Williams, Jr., and R. Vose. 2016. “Long-term daily and monthly climate records from stations across the contiguous United States (U.S. Historical Climatology Network).” CDIAC. Accessed April 8, 2020. https://doi.org/10.3334/CDIAC/CLI.NDP019.
Nguyen, H., R. Mehrotra, and A. Sharma. 2017. “Can the variability in precipitation simulations across GCMs be reduced through sensible bias correction?” Clim. Dyn. 49 (9–10): 3257–3275. https://doi.org/10.1007/s00382-016-3510-z.
Panofsky, H. A., and G. W. Brier. 1968. Some application of statistics to meteorology, 224. University Park, PA: Pennsylvania State Univ.
Payne, J. T., A. W. Wood, A. F. Hamlet, R. N. Palmer, and D. P. Lettenmaier. 2004. “Mitigating effects of climate change on the water resources of the Columbia River Basin.” Clim. Change 62 (1–3): 233–256. https://doi.org/10.1023/B:CLIM.0000013694.18154.d6.
Piani, C., J. O. Haerter, and E. Coppola. 2010. “Statistical bias correction for daily precipitation in regional climate models over Europe.” Theor. Appl. Climatol. 99 (1): 187–192. https://doi.org/10.1007/s00704-009-0134-9.
Reclamation. 2013. “Downscaled CMIP3 and CMIP5 climate and hydrology projections: Release of downscaled CMIP5 climate projections, comparison with preceding information, and summary of user needs.” U.S. Department of the Interior, Bureau of Reclamation, Technical Services Center, 47. Accessed April 8, 2020. https://gdo-dcp.ucllnl.org/downscaled_cmip_projections/techmemo/downscaled_climate.pdf.
Shabalova, M. V., W. Van Deursen, and T. A. Buishand. 2003. “Assessing future discharge of the River Rhine using regional climate model integrations and a hydrological model.” Clim. Res. 23 (3): 233–246. https://doi.org/10.3354/cr023233.
Smitha, P. S., B. Narasimhan, K. P. Sudheer, and H. Annamalai. 2018. “An improved bias correction method of daily rainfall data using a sliding window technique for climate change impact assessment.” J. Hydrol. 556 (Jan): 100–118. https://doi.org/10.1016/j.jhydrol.2017.11.010.
Teegavarapu, R. S. V. 2007. “Use of universal function approximation in variance dependent interpolation technique: An application in hydrology.” J. Hydrol. 332 (1–2): 16–29. https://doi.org/10.1016/j.jhydrol.2006.06.017.
Teegavarapu, R. S. V. 2012. Floods in changing climate: Extreme precipitation. London: Cambridge University Press.
Teegavarapu, R. S. V. 2013. “Statistical corrections of spatially interpolated missing precipitation data estimates.” Hydrol. Processes 28 (11): 3789–3808. https://doi.org/10.1002/hyp.9906.
Teutschbein, C., and J. Seibert. 2012. “Bias correction of regional climate model simulations for hydrological climate-change impact studies: Review and evaluation of different methods.” J. Hydrol. 16 (Aug): 12–29. https://doi.org/10.1016/j.jhydrol.2012.05.052.
Van Rheenen, 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.” Clim. Change 62 (1): 257–281. https://doi.org/10.1023/B:CLIM.0000013686.97342.55.
Vapnik, V. N. 1995. The nature of statistical learning theory. New York: Springer.
WCRP (World Climate Research Program). 2011. “World Climate Research Program’s (WCRP) Coupled Model Intercomparison Project phase 5 (CMIP5) data set, downscaled daily precipitation data from Canadian Centre for Climate Modeling and Analysis model CanESM2.” Accessed April 27, 2020. https://www.wcrp-climate.org/wgcm-cmip/wgcm-cmip5.
Wood, A. W., L. R. Leung, V. Sridhar, and D. P. Lettenmaier. 2004. “Hydrologic implications of dynamical and statistical approaches to downscaling climate model outputs.” Clim. Change 62 (1–3): 189–216. https://doi.org/10.1023/B:CLIM.0000013685.99609.9e.
Wood, A. W., E. P. Maurer, A. Kumar, and D. P. Lettenmaier. 2002. “Long-range experimental hydrologic forecasting for the eastern United States.” J. Geophys. Res. 107 (D20): 4429. https://doi.org/10.1029/2001JD000659.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 25Issue 7July 2020

History

Received: Aug 4, 2019
Accepted: Dec 30, 2019
Published online: Apr 30, 2020
Published in print: Jul 1, 2020
Discussion open until: Sep 30, 2020

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Authors

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Aneesh Goly, M.ASCE [email protected]
Associate Graduate Faculty, Dept. of Civil, Environmental and Geomatics Engineering, Florida Atlantic Univ., 777 Glades Rd., Boca Raton, FL 33431 (corresponding author). Email: [email protected]
Ramesh S. V. Teegavarapu [email protected]
Associate Professor, Dept. of Civil, Environmental and Geomatics Engineering, Florida Atlantic Univ., 777 Glades Rd., Boca Raton, FL 33431. Email: [email protected]

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