Bibliography¶
General References¶
Médard Noukpo Agbazo and Patrick Grenier. Characterizing and avoiding physical inconsistency generated by the application of univariate quantile mapping on daily minimum and maximum temperatures over Hudson Bay. International Journal of Climatology, 40(8):3868–3884, 2020. URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/joc.6432 (visited on 2022-08-03), doi:10.1002/joc.6432.
Mégane Alavoine and Patrick Grenier. The distinct problems of physical inconsistency and of multivariate bias involved in the statistical adjustment of climate simulations. International Journal of Climatology, pages 1–23, September 2022. URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/joc.7878 (visited on 2022-11-16), doi:10.1002/joc.7878.
L. Baringhaus and C. Franz. On a new multivariate two-sample test. Journal of Multivariate Analysis, 88(1):190–206, January 2004. URL: https://www.sciencedirect.com/science/article/pii/S0047259X03000794 (visited on 2022-07-29), doi:10.1016/S0047-259X(03)00079-4.
Alex J. Cannon. Multivariate quantile mapping bias correction: an N-dimensional probability density function transform for climate model simulations of multiple variables. Climate Dynamics, 50(1):31–49, January 2018. URL: https://doi.org/10.1007/s00382-017-3580-6 (visited on 2022-07-29), doi:10.1007/s00382-017-3580-6.
Alex J. Cannon. MBC: Multivariate Bias Correction of Climate Model Outputs. October 2020. URL: https://CRAN.R-project.org/package=MBC (visited on 2022-07-29).
Alex J. Cannon, Stephen R. Sobie, and Trevor Q. Murdock. Bias Correction of GCM Precipitation by Quantile Mapping: How Well Do Methods Preserve Changes in Quantiles and Extremes? Journal of Climate, 28(17):6938–6959, September 2015. URL: https://journals.ametsoc.org/view/journals/clim/28/17/jcli-d-14-00754.1.xml (visited on 2022-07-29), doi:10.1175/JCLI-D-14-00754.1.
William S. Cleveland. Robust Locally Weighted Regression and Smoothing Scatterplots. Journal of the American Statistical Association, 74(368):829–836, December 1979. URL: https://www.tandfonline.com/doi/abs/10.1080/01621459.1979.10481038 (visited on 2022-07-29), doi:10.1080/01621459.1979.10481038.
Bertrand Denis, Jean Côté, and René Laprise. Spectral Decomposition of Two-Dimensional Atmospheric Fields on Limited-Area Domains Using the Discrete Cosine Transform (DCT). Monthly Weather Review, 130(7):1812–1829, July 2002. doi:10.1175/1520-0493(2002)130<1812:SDOTDA>2.0.CO;2.
Michel Déqué. Frequency of precipitation and temperature extremes over France in an anthropogenic scenario: Model results and statistical correction according to observed values. Global and Planetary Change, 57(1):16–26, May 2007. URL: https://www.sciencedirect.com/science/article/pii/S0921818106002748 (visited on 2022-07-29), doi:10.1016/j.gloplacha.2006.11.030.
Alexandre Gramfort. LOWESS : Locally weighted regression. October 2015. URL: https://gist.github.com/agramfort/850437 (visited on 2022-08-05).
Patrick Grenier. Two Types of Physical Inconsistency to Avoid with Univariate Quantile Mapping: A Case Study over North America Concerning Relative Humidity and Its Parent Variables. Journal of Applied Meteorology and Climatology, 57(2):347–364, February 2018. URL: https://journals.ametsoc.org/view/journals/apme/57/2/jamc-d-17-0177.1.xml (visited on 2022-08-03), doi:10.1175/JAMC-D-17-0177.1.
Nicholas J. Higham. Computing a nearest symmetric positive semidefinite matrix. Linear Algebra and its Applications, 103:103–118, 1988. URL: https://www.sciencedirect.com/science/article/pii/0024379588902236, doi:https://doi.org/10.1016/0024-3795(88)90223-6.
Jan Hnilica, Martin Hanel, and Vladimír Puš. Multisite bias correction of precipitation data from regional climate models. International Journal of Climatology, 37(6):2934–2946, 2017. URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/joc.4890 (visited on 2022-07-29), doi:10.1002/joc.4890.
Holger Hoffmann and Thomas Rath. Meteorologically consistent bias correction of climate time series for agricultural models. Theoretical and Applied Climatology, 110(1):129–141, October 2012. URL: https://doi.org/10.1007/s00704-012-0618-x (visited on 2022-08-03), doi:10.1007/s00704-012-0618-x.
Jonathan Jalbert. Extreme value analysis package for Julia. June 2022. URL: https://github.com/jojal5/Extremes.jl (visited on 2022-07-29).
Dirk L. Knol and Jos M.F. ten Berge. Least-squares approximation of an improper correlation matrix by a proper one. Psychometrika, 54(1):53–61, 1989. doi:10.1007/BF02294448.
Francesco Mezzadri. How to generate random matrices from the classical compact groups. February 2007. URL: https://arxiv.org/abs/math-ph/0609050 (visited on 2022-11-16), doi:10.48550/arXiv.math-ph/0609050.
F. Pitie, A.C. Kokaram, and R. Dahyot. N-dimensional probability density function transfer and its application to color transfer. In Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1, volume 2, 1434–1439 Vol. 2. October 2005. doi:10.1109/ICCV.2005.166.
Y. Robin, M. Vrac, P. Naveau, and P. Yiou. Multivariate stochastic bias corrections with optimal transport. Hydrology and Earth System Sciences, 23(2):773–786, 2019. URL: https://hess.copernicus.org/articles/23/773/2019/, doi:10.5194/hess-23-773-2019.
Yoann Robin. SBCK: Statistical Bias Correction Kit. 2021. URL: https://github.com/yrobink/SBCK-python (visited on 2024-07-03).
Philippe Roy, Gabriel Rondeau-Genesse, Jonathan Jalbert, and Élyse Fournier. Climate scenarios of extreme precipitation using a combination of parametric and non-parametric bias correction methods in the province of québec. Canadian Water Resources Journal, june 2023. URL: https://www.tandfonline.com/doi/full/10.1080/07011784.2023.2220682, doi:10.1080/07011784.2023.2220682.
Philippe Roy, Trevor James Smith, Tony Kelman, Éloïse Nolet-Gravel, Elliot Saba, Fidel Thomet, Julia TagBot, and Gael Forget. JuliaClimate/ClimateTools.jl: v0.23.1. September 2021. URL: https://zenodo.org/record/5399172 (visited on 2022-07-29), doi:10.5281/zenodo.5399172.
Jürg Schmidli, Christoph Frei, and Pier Luigi Vidale. Downscaling from GCM precipitation: a benchmark for dynamical and statistical downscaling methods. International Journal of Climatology, 26(5):679–689, 2006. URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/joc.1287 (visited on 2022-07-29), doi:10.1002/joc.1287.
Gabor Szekely and Maria Rizzo. Testing for equal distributions in high dimension. InterStat, November 2004.
Matthias Jakob Themeßl, Andreas Gobiet, and Georg Heinrich. Empirical-statistical downscaling and error correction of regional climate models and its impact on the climate change signal. Climatic Change, 112(2):449–468, May 2012. URL: https://doi.org/10.1007/s10584-011-0224-4 (visited on 2022-07-29), doi:10.1007/s10584-011-0224-4.
B. Thrasher, E. P. Maurer, C. McKellar, and P. B. Duffy. Technical Note: Bias correcting climate model simulated daily temperature extremes with quantile mapping. Hydrology and Earth System Sciences, 16(9):3309–3314, September 2012. Publisher: Copernicus GmbH. URL: https://hess.copernicus.org/articles/16/3309/2012/ (visited on 2022-08-03), doi:10.5194/hess-16-3309-2012.