Evaluation of bias correction methods for wave modeling output

Abstract Models that seek to predict environmental variables invariably demonstrate bias when compared to observations. Bias correction (BC) techniques are common in the climate and hydrological modeling communities, but have seen fewer applications to the field of wave modeling. In particular there has been no investigation as to which BC methodology performs best for wave modeling. This paper introduces and compares a subset of BC methods with the goal of clarifying a “best practice” methodology for application of BC in studies of wave-related processes. Specific focus is paid to comparing parametric vs. empirical methods as well as univariate vs. bivariate methods. The techniques are tested on global WAVEWATCH III historic and future period datasets with comparison to buoy observations at multiple locations. Both wave height and period are considered in order to investigate BC effects on inter-variable correlation. Results show that all methods perform uniformly in terms of correcting statistical moments for individual variables with the exception of a copula based method underperforming for wave period. When comparing parametric and empirical methods, no difference is found. Between bivariate and univariate methods, results show that bivariate methods greatly improve inter-variable correlations. Of the bivariate methods tested the copula based method is found to be not as effective at correcting correlation while a “shuffling” method is unable to handle changes in correlation from historic to future periods. In summary, this study demonstrates that BC methods are effective when applied to wave model data and that it is essential to employ methods that consider dependence between variables.

[1]  Elzbieta M. Bitner-Gregersen,et al.  Joint distributions for significant wave height and wave zero-up-crossing period , 1990 .

[2]  N. Diffenbaugh,et al.  Joint bias correction of temperature and precipitation in climate model simulations , 2014 .

[3]  M. Déqué,et al.  Frequency of precipitation and temperature extremes over France in an anthropogenic scenario: Model results and statistical correction according to observed values , 2007 .

[4]  P.H.A.J.M. van Gelder,et al.  Modelling of extreme wave heights and periods through copulas , 2005 .

[5]  J. Seibert,et al.  Is bias correction of regional climate model (RCM) simulations possible for non-stationary conditions? , 2012 .

[6]  C. Piani,et al.  Two dimensional bias correction of temperature and precipitation copulas in climate models , 2012 .

[7]  M. Clark,et al.  The Schaake Shuffle: A Method for Reconstructing Space–Time Variability in Forecasted Precipitation and Temperature Fields , 2004 .

[8]  Luigi Cavaleri,et al.  The calibration of wind and wave model data in the Mediterranean Sea , 2006 .

[9]  Sophie A. Nicholson-Cole,et al.  Predicted wave climate for the UK:towards and integrated model of coastal impacts of climate change. , 2008 .

[10]  Claire Trenham,et al.  Global dynamical projections of surface ocean wave climate for a future high greenhouse gas emission scenario , 2013 .

[11]  Andrew T. Cox,et al.  Evaluation of Contemporary Ocean Wave Models in Rare Extreme Events: The “Halloween Storm” of October 1991 and the “Storm of the Century” of March 1993 , 1996 .

[12]  Xiaolan L. Wang,et al.  Changes in global ocean wave heights as projected using multimodel CMIP5 simulations , 2014 .

[13]  A. Sterl,et al.  Intercomparison of Different Wind–Wave Reanalyses , 2004 .

[14]  D. Lettenmaier,et al.  Hydrologic Implications of Dynamical and Statistical Approaches to Downscaling Climate Model Outputs , 2004 .

[15]  H. Tsujino,et al.  A New Global Climate Model of the Meteorological Research Institute: MRI-CGCM3 —Model Description and Basic Performance— , 2012 .

[16]  C. Piani,et al.  Statistical bias correction for daily precipitation in regional climate models over Europe , 2010 .

[17]  Paul A. Wittmann,et al.  Evaluations of Global Wave Prediction at the Fleet Numerical Meteorology and Oceanography Center , 2005 .

[18]  Christopher Moseley,et al.  Climate model bias correction and the role of timescales , 2010 .

[19]  P. Delecluse,et al.  Climate change impact on waves in the Bay of Biscay, France , 2012, Ocean Dynamics.

[20]  Hajime Mase,et al.  Projection of Extreme Wave Climate Change under Global Warming , 2010 .

[21]  Arun Kumar,et al.  Long‐range experimental hydrologic forecasting for the eastern United States , 2002 .

[22]  Derek D. Stretch,et al.  Predicting coastal erosion trends using non-stationary statistics and process-based models , 2012 .

[23]  Nobuhito Mori,et al.  Projected changes in wave climate from a multi-model ensemble , 2013 .

[24]  P. Friederichs,et al.  Multivariate—Intervariable, Spatial, and Temporal—Bias Correction* , 2015 .

[25]  Val R. Swail,et al.  Trends of Atlantic Wave Extremes as Simulated in a 40-Yr Wave Hindcast Using Kinematically Reanalyzed Wind Fields , 2002 .

[26]  Giuseppe Passoni,et al.  A multivariate model of sea storms using copulas , 2007 .

[27]  Tom H. Durrant,et al.  The effect of statistical wind corrections on global wave forecasts , 2013 .

[28]  E. Bauer,et al.  Statistical properties of global significant wave heights and their use for validation , 1998 .

[29]  Volker Wulfmeyer,et al.  HESS Opinions "Should we apply bias correction to global and regional climate model data?" , 2012 .

[30]  Andrew T. Cox,et al.  Dynamical versus statistical downscaling methods for ocean wave heights , 2010 .

[31]  Ralf Weisse,et al.  Climate change impact on extreme wave conditions in the North Sea: an ensemble study , 2008 .

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

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

[34]  S. Hagemann,et al.  On the contribution of statistical bias correction to the uncertainty in the projected hydrological cycle , 2011 .

[35]  E. Maurer,et al.  Technical Note: Bias correcting climate model simulated daily temperature extremes with quantile mapping , 2012 .

[36]  Leo H. Holthuijsen,et al.  Waves in Oceanic and Coastal Waters , 2007 .

[37]  K. McInnes,et al.  Climate and variability bias adjustment of climate model-derived winds for a southeast Australian dynamical wave model , 2011, Ocean Dynamics.

[38]  A. Bowman,et al.  Applied smoothing techniques for data analysis : the kernel approach with S-plus illustrations , 1999 .

[39]  Simon Dadson,et al.  Bias correction of daily precipitation simulated by a regional climate model: a comparison of methods , 2013 .

[40]  Chong-yu Xu From GCMs to river flow: a review of downscaling methods and hydrologic modelling approaches , 1999 .

[41]  J. K. Vrijling,et al.  Bivariate description of offshore wave conditions with physics-based extreme value statistics , 2004 .

[42]  David C. Hoaglin,et al.  Some Implementations of the Boxplot , 1989 .

[43]  S. Seneviratne,et al.  Systematic land climate and evapotranspiration biases in CMIP5 simulations , 2014, Geophysical research letters.

[44]  Hendrik L. Tolman,et al.  A Third-Generation Model for Wind Waves on Slowly Varying, Unsteady, and Inhomogeneous Depths and Currents , 1991 .

[45]  Ashish Sharma,et al.  A nesting model for bias correction of variability at multiple time scales in general circulation model precipitation simulations , 2012 .

[46]  C. Guedes Soares,et al.  Modelling distributions of significant wave height , 2000 .

[47]  E. Wood,et al.  Bias correction of monthly precipitation and temperature fields from Intergovernmental Panel on Climate Change AR4 models using equidistant quantile matching , 2010 .

[48]  I. Losada,et al.  A method for spatial calibration of wave hindcast data bases , 2008 .

[49]  G. Brier,et al.  Some applications of statistics to meteorology , 1958 .

[50]  S. Sorooshian,et al.  Influence of irrigation on land hydrological processes over California , 2014 .

[51]  L. Frazer,et al.  Transient and persistent shoreline change from a storm , 2010 .

[52]  Piero Lionello,et al.  The Mediterranean surface wave climate inferred from future scenario simulations , 2008 .

[53]  A. Sterl,et al.  A New Nonparametric Method to Correct Model Data: Application to Significant Wave Height from the ERA-40 Re-Analysis , 2005 .

[54]  C. Guedes Soares,et al.  Modelling bivariate distributions of significant wave height and mean wave period. , 2002 .

[55]  A. Aghakouchak,et al.  Evaluation of CMIP5 continental precipitation simulations relative to satellite‐based gauge‐adjusted observations , 2014 .

[56]  Bruce C. Douglas,et al.  Do Storms Cause Long‐Term Beach Erosion along the U.S. East Barrier Coast? , 2002, The Journal of Geology.