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PCAnEn - Hindcasting with Analogue Ensembles of Principal Components

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CSEI: International Conference on Computer Science, Electronics and Industrial Engineering (CSEI) (CSEI 2022)

Abstract

The focus of this study is the reconstruction of missing meteorological data at a station based on data from neighboring stations. To that end, the Principal Components Analysis (PCA) method was applied to the Analogue Ensemble (AnEn) method to reduce the data dimensionality. The proposed technique is greatly influenced by the choice of stations according to proximity and correlation to the predicted one. PCA associated with AnEn decreased the errors in the prediction of some meteorological variables by 30% and, at the same time, decreased the prediction time by 48%. It was also verified that our implementation of this methodology in MATLAB is around two times faster than in R.

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References

  1. Balsa, C., Rodrigues, C.V., Lopes, I., Rufino, J.: Using analog ensembles with alternative metrics for hindcasting with multistations. ParadigmPlus 1(2), 1–17 (2020). https://journals.itiud.org/index.php/paradigmplus/article/view/11

  2. Balsa, C., Rodrigues, C.V., Araújo, L., Rufino, J.: Hindcasting with cluster-based analogues. In: Guarda, T., Portela, F., Santos, M.F. (eds.) ARTIIS 2021. CCIS, vol. 1485, pp. 346–360. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-90241-4_27

    Chapter  Google Scholar 

  3. Balsa, C., Rodrigues, C.V., Araújo, L., Rufino, J.: Cluster-based analogue ensembles for hindcasting with multistations. Computation 10(6), 91 (2022). https://doi.org/10.3390/computation10060091

    Article  Google Scholar 

  4. Chai, T., Draxler, R.R.: Root mean square error (RMSE) or mean absolute error (MAE)? – arguments against avoiding RMSE in the literature. Geosci. Model Dev. 7(3), 1247–1250 (2014). https://doi.org/10.5194/gmd-7-1247-2014

    Article  Google Scholar 

  5. Davò, F., Alessandrini, S., Sperati, S., Monache, L.D., Airoldi, D., Vespucci, M.T.: Post-processing techniques and principal component analysis for regional wind power and solar irradiance forecasting. Solar Energy 134, 327–338 (2016). https://doi.org/10.1016/j.solener.2016.04.049

    Article  Google Scholar 

  6. Eldén, L.: Matrix Methods in Data Mining and Pattern Recognition. SIAM, Philadelphia (2007)

    Book  MATH  Google Scholar 

  7. Hu, W., Vento, D., Su, S.: Parallel analog ensemble - the power of weather analogs. In: Proceedings of the 2020 Improving Scientific Software Conference, pp. 1–14. NCAR (2020). https://doi.org/10.5065/P2JJ-9878

  8. MATLAB: version 7.10.0 (R2010a). The MathWorks Inc., Natick, Massachusetts (2010)

    Google Scholar 

  9. de Mello, R.F., Ponti, M.A.: Machine Learning. Springer, Heidelberg (2018). https://doi.org/10.1007/978-3-319-94989-5

  10. Monache, L.D., Eckel, F.A., Rife, D.L., Nagarajan, B., Searight, K.: Probabilistic weather prediction with an analog ensemble. Mon. Weather Rev. 141(10), 3498–3516 (2013). https://doi.org/10.1175/mwr-d-12-00281.1

    Article  Google Scholar 

  11. Monache, L.D., Nipen, T., Liu, Y., Roux, G., Stull, R.: Kalman filter and analog schemes to postprocess numerical weather predictions. Mon. Weather Rev. 139(11), 3554–3570 (2011). https://doi.org/10.1175/2011mwr3653.1

    Article  Google Scholar 

  12. National Weather Service: National Data Buoy Center. https://www.ndbc.noaa.gov

  13. R Core Team: R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria (2022). https://www.R-project.org/

  14. Spence, L., Insel, A., Friedberg, S.: Elementary Linear Algebra: A matrix Approach. Pearson Education Limited (2013)

    Google Scholar 

  15. Vannitsem, S., et al.: Statistical postprocessing for weather forecasts: review, challenges, and avenues in a big data world. Bull. Am. Meteorol. Soc. 102(3), E681–E699 (2021). https://doi.org/10.1175/bams-d-19-0308.1

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Acknowledgements

The authors are grateful to the Foundation for Science and Technology (FCT, Portugal) for financial support through national funds FCT/MCTES (PIDDAC) to CeDRI (UIDB/05757/2020 and UIDP/05757/2020) and SusTEC (LA/P/0007/2021).

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Correspondence to José Rufino .

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Balsa, C., Breve, M.M., André, B., Rodrigues, C.V., Rufino, J. (2023). PCAnEn - Hindcasting with Analogue Ensembles of Principal Components. In: Garcia, M.V., Gordón-Gallegos, C. (eds) CSEI: International Conference on Computer Science, Electronics and Industrial Engineering (CSEI). CSEI 2022. Lecture Notes in Networks and Systems, vol 678. Springer, Cham. https://doi.org/10.1007/978-3-031-30592-4_13

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