Skip to main content
Have a personal or library account? Click to login
Using the Wasserstein distance to compare fields of pollutants: application to the radionuclide atmospheric dispersion of the Fukushima-Daiichi accident Cover

Using the Wasserstein distance to compare fields of pollutants: application to the radionuclide atmospheric dispersion of the Fukushima-Daiichi accident

Tellus B: Chemical and Physical Meteorology
Volume 68 (2016): Issue 1
By: ,  ,  ,   and    
Open Access
|Jan 2016
References

References

  1. Amodei M. , Stein J . Deterministic and fuzzy verification methods for a hierarchy of numerical models . Meteorol. Appl . 2009 ; 16 : 191 – 203 . DOI: http://dx.doi.org/10.1002/met.101 .
    Search in Google ScholarBack to article
  2. Aoyama M. , Tsumune D. , Uematsu M. , Kondo F. , Hamajima Y . Temporal variation of 134Cs and 137Cs activities in surface water at stations along the coastline near the Fukushima Dai-ichi Nuclear Power Plant accident site, Japan . Geochem. J . 2012 ; 46 : 321 – 325 . DOI: http://dx.doi.org/10.2343/geochemj.2.0211 .
    Search in Google ScholarBack to article
  3. Arnold D. , Maurer C. , Wotawa G. , Draxler R. , Saito K. , co-authors . Influence of the meteorological input on the atmospheric transport modelling with FLEXPART of radionuclides from the Fukushima Daiichi nuclear accident . J. Environ. Radioact . 2015 ; 139 : 212 – 225 . DOI: http://dx.doi.org/10.1016/j.jenvrad.2014.02.013 .
    Search in Google ScholarBack to article
  4. Benamou J.-D. , Brenier Y . A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem . Numer. Math . 2000 ; 84 : 375 – 393 . DOI: http://dx.doi.org/10.1007/s002110050002 .
    Search in Google ScholarBack to article
  5. Blanchard D. C . Raindrop size distribution in hawaiian rains . J. Meteorol . 1953 ; 10 : 457 – 473 . DOI: http://dx.doi.org/10.1175/1520-0469(1953)010<0457:RSDIHR>2.0.CO;2 .
    Search in Google ScholarBack to article
  6. Bocquet M . Parameter field estimation for atmospheric dispersion: application to the Chernobyl accident using 4D-Var . Q. J. Roy. Meteorol. Soc . 2012 ; 138 : 664 – 681 . DOI: http://dx.doi.org/10.1002/qj.961 .
    Search in Google ScholarBack to article
  7. Briggs W. M. , Levine R. A . Wavelets and field forecast verification . Mon. Wea. Rev . 1997 ; 125 : 1329 – 1341 . DOI: http://dx.doi.org/10.1175/1520-0493(1997)125<1329:WAFFV>2.0.CO;2 .
    Search in Google ScholarBack to article
  8. Butler D . Radioactivity spreads in Japan . Nat. News . 2011 ; 471 : 555 – 556 . DOI: http://dx.doi.org/10.1038/471555a .
    Search in Google ScholarBack to article
  9. Chambolle A. , Pock T . A first-order primal-dual algorithm for convex problems with applications to imaging . J. Math. Imag. Vis . 2011 ; 40 : 120 – 145 . DOI: http://dx.doi.org/10.1007/s10851-010-0251-1 .
    Search in Google ScholarBack to article
  10. Chang J. C. , Hanna S. R . Air quality model performance evaluation . Meteorol. Atmos. Phys . 2004 ; 87 : 167 – 196 . DOI: http://dx.doi.org/10.1007/s00703-003-0070-7 .
    Search in Google ScholarBack to article
  11. Chino M. , Nakayama H. , Nagai H. , Terada H. , Katata G. , co-authors . Preliminary estimation of release amounts of 131I and 137Cs accidentally discharged from the Fukushima Daiichi nuclear power plant into the atmosphere . J. Nucl. Sci. Technol . 2011 ; 48 : 1129 – 1134 . DOI: http://dx.doi.org/10.1080/18811248.2011.9711799 .
    Search in Google ScholarBack to article
  12. Davis C. , Brown B. , Bullock R . Object-based verification of precipitation forecasts. Part I: methodology and application to mesoscale rain areas . Mon. Wea. Rev . 2006a ; 134 : 1772 – 1784 . DOI: http://dx.doi.org/10.1175/MWR3145.1 .
    Search in Google ScholarBack to article
  13. Davis C. , Brown B. , Bullock R . Object-based verification of precipitation forecasts. Part II: application to convective rain systems . Mon. Wea. Rev . 2006b ; 134 : 1785 – 1795 . DOI: http://dx.doi.org/10.1175/MWR3146.1 .
    Search in Google ScholarBack to article
  14. Draxler R. , Arnold D. , Chino M. , Galmarini S. , Hort M. , co-authors . World Meteorological Organization's model simulations of the radionuclide dispersion and deposition from the Fukushima Daiichi nuclear power plant accident . J. Environ. Radioact . 2015 ; 139 : 172 – 184 . DOI: http://dx.doi.org/10.1016/j.jenvrad.2013.09.014 .
    Search in Google ScholarBack to article
  15. Ebert E. E . Fuzzy verification of high-resolution gridded forecasts: a review and proposed framework . Meteorol. Appl . 2008 ; 15 : 51 – 64 . DOI: http://dx.doi.org/10.1002/met.25 .
    Search in Google ScholarBack to article
  16. Endo S. , Kimura S. , Takatsuji T. , Nanasawa K. , Imanaka T. , co-authors . Measurement of soil contamination by radionuclides due to the Fukushima Dai-ichi nuclear power plant accident and associated estimated cumulative external dose estimation . J. Environ. Radioact . 2012 ; 111 : 18 – 27 . DOI: http://dx.doi.org/10.1016/j.jenvrad.2011.11.006 .
    Search in Google ScholarBack to article
  17. Gabay D. , Mercier B . A dual algorithm for the solution of nonlinear variational problems via finite element approximation . Comput. Math. Appl . 1976 ; 2 : 17 – 40 . DOI: http://dx.doi.org/10.1016/0898-1221(76)90003-1 .
    Search in Google ScholarBack to article
  18. Gilleland E. , Ahijevych D. A. , Brown B. G. , Ebert E. E . Verifying forecasts spatially . Bull. Am. Meteorol. Soc . 2010a ; 91 : 1365 – 1373 . DOI: http://dx.doi.org/10.1175/2010BAMS2819.1 .
    Search in Google ScholarBack to article
  19. Gilleland E. , Lindström J. , Lindgren F . Analyzing the image warp forecast verification method on precipitation fields from the ICP . Weather Forecast . 2010b ; 25 : 1249 – 1262 . DOI: http://dx.doi.org/10.1175/2010WAF2222365.1 .
    Search in Google ScholarBack to article
  20. Gröell J. , Quélo D. , Mathieu A . Sensitivity analysis of the modelled deposition of 137Cs on the Japanese land following the Fukushima accident . Int. J. Environ. Pollut . 2014 ; 55 : 67 – 75 . DOI: http://dx.doi.org/10.1504/ijep.2014.065906 .
    Search in Google ScholarBack to article
  21. Hoffman R. N. , Liu Z. , Louis J.-F. , Grassoti C . Distortion representation of forecast errors . Mon. Wea. Rev . 1995 ; 123 : 2758 – 2770 . DOI: http://dx.doi.org/10.1175/1520-0493(1995)123<2758:DROFE>2.0.CO;2 .
    Search in Google ScholarBack to article
  22. Jaenicke R . Georgii H. W. , Jaeschke W . Physical aspects of the atmospheric aerosol . Chemistry of the Unpolluted and Polluted Troposphere: Proceedings of the NATO Advanced Study Institute held on the Island of Corfu . 1982 ; Springer Netherlands . 341 – 373 . Greece, September 28–October 10, 1981 DOI: http://dx.doi.org/10.1007/978-94-009-7918-5_14 .
    Search in Google ScholarBack to article
  23. Jylhä K . Empirical scavenging coefficients of radioactive substances released from Chernobyl . Atmos. Env . 1991 ; 25A : 263 – 270 . DOI: http://dx.doi.org/10.1016/0960-1686(91)90297-K .
    Search in Google ScholarBack to article
  24. Kantorovich L. V . On the translocation of masses . Dokl. Akad. Nauk SSSR . 1942 ; 37 : 199 – 201 .
    Search in Google ScholarBack to article
  25. Katata G. , Chino M. , Kobayashi T. , Terada H. , Ota M. , co-authors . Detailed source term estimation of the atmospheric release for the Fukushima Daiichi Nuclear Power Station accident by coupling simulations of an atmospheric dispersion model with an improved deposition scheme and oceanic dispersion model . Atmos. Chem. Phys . 2015 ; 15 : 1029 – 1070 . DOI: http://dx.doi.org/10.5194/acp-15-1029-2015 .
    Search in Google ScholarBack to article
  26. Kawamura H. , Kobayashi T. , Furuno A. , In T. , Ishikawa Y. , co-authors . Preliminary numerical experiments on oceanic dispersion of 131I and 137Cs discharged into the ocean because of the Fukushima Daiichi Nuclear Power Plant Disaster . J. Nucl. Sci. Technol . 2011 ; 48 : 1349 – 1356 . DOI: http://dx.doi.org/10.1080/18811248.2011.9711826 .
    Search in Google ScholarBack to article
  27. Keil C. , Craig G. C . A displacement-based error measure applied in a regional ensemble forecasting system . Mon. Wea. Rev . 2007 ; 135 : 3248 – 3259 . DOI: http://dx.doi.org/10.1175/MWR3457.1 .
    Search in Google ScholarBack to article
  28. Keil C. , Craig G. C . A displacement and amplitude score employing an optical flow technique . Weather Forecast . 2009 ; 24 : 1297 – 1308 . DOI: http://dx.doi.org/10.1175/2009WAF2222247.1 .
    Search in Google ScholarBack to article
  29. Kinoshita N. , Sueki K. , Sasa K. , Kitagawa J. , Ikarashi S. , co-authors . Assessment of individual radionuclide distributions from the Fukushima nuclear accident covering central-east Japan . Proc. Natl. Acad. Sci. U.S.A . 2011 ; 108 : 19526 – 19529 . DOI: http://dx.doi.org/10.1073/pnas.1111724108 .
    Search in Google ScholarBack to article
  30. Korsakissok I. , Mathieu A. , Didier D . Atmospheric dispersion and ground deposition induced by the Fukushima Nuclear Power Plant accident: a local-scale simulation and sensitivity study . Atmos. Env . 2013 ; 70 : 267 – 279 . DOI: http://dx.doi.org/10.1016/j.atmosenv.2013.01.002 .
    Search in Google ScholarBack to article
  31. Laakso L. , Grönholm T. , Rannik Ü. , Kosmale M. , Fielder V. , co-authors . Ultrafine particle scavenging coefficients calculated from 6 years field measurements . Atmos. Environ . 2003 ; 37 : 3605 – 3613 . DOI: http://dx.doi.org/10.1016/S1352-2310(03)00326-1 .
    Search in Google ScholarBack to article
  32. Lack S. A. , Limpert G. L. , Fox N. I . An object-oriented multiscale verification scheme . Weather Forecast . 2010 ; 25 : 79 – 92 . DOI: http://dx.doi.org/10.1175/2009WAF2222245.1 .
    Search in Google ScholarBack to article
  33. Lions P.-L. , Mercier B . Splitting algorithms for the sum of two nonlinear operators . SIAM J. Numer. Anal . 1979 ; 16 : 964 – 979 . DOI: http://dx.doi.org/10.1137/0716071 .
    Search in Google ScholarBack to article
  34. Ma X.-N. , Trudinger N. S. , Wang X.-J . Regularity of potential functions of the optimal transportation problem . Arch. Rat. Mech. Anal . 2005 ; 177 : 151 – 183 . DOI: http://dx.doi.org/10.1007/s00205-005-0362-9 .
    Search in Google ScholarBack to article
  35. Marzban C. , Sandgathe S . Optical flow for verification . Weather Forecast . 2010 ; 25 : 1479 – 1494 . DOI: http://dx.doi.org/10.1175/2010WAF2222351.1 .
    Search in Google ScholarBack to article
  36. Mathieu A. , Korsakissok I. , Quélo D. , Gröell J. , Tombette M. , co-authors . Atmospheric dispersion and deposition of radionuclides from the Fukushima Daiichi nuclear power plant accident . Elements . 2012 ; 8 : 195 – 200 . DOI: http://dx.doi.org/10.2113/gselements.8.3.195 .
    Search in Google ScholarBack to article
  37. MEXT (Ministry of Education, Culture, Sports, Science and Technology) . Results of the fourth airborne monitoring survey by MEXT . 2011 . Online at: http://radioactivity.nsr.go.jp/en/contents/4000/3179/24/1270_1216.pdf .
    Search in Google ScholarBack to article
  38. Monge G . Mémoire sur la théorie des déblais et des remblais . 1781 ; 666 – 704 . Académie royale des sciences, Paris .
    Search in Google ScholarBack to article
  39. Morino Y. , Ohara T. , Nishizawa M . Atmospheric behavior, deposition, and budget of radioactive materials from the Fukushima Daiichi nuclear power plant in March 2011 . Geophys. Res. Lett . 2011 ; 38 : L00G11 . DOI: http://dx.doi.org/10.1029/2011GL048689 .
    Search in Google ScholarBack to article
  40. Mosca S. , Graziani G. , Klug W. , Bellasio R. , Bianconi R . A statistical methodology for evaluation of long-range dispersion models: An application to the ETEX exercise . Atmos. Environ . 1998 ; 32 : 4307 – 4324 . DOI: http://dx.doi.org/10.1016/S1352-2310(98)00179-4 .
    Search in Google ScholarBack to article
  41. Papadakis N. , Peyré G. , Oudet E . Optimal transport with proximal splitting . SIAM J. Imag. Sci . 2014 ; 7 : 212 – 238 . DOI: http://dx.doi.org/10.1137/130920058 .
    Search in Google ScholarBack to article
  42. Pustelnik N. , Chaux C. , Pesquet J.-C . Parallel proximal algorithm for image restoration using hybrid regularization . IEEE Trans. Image Process . 2011 ; 20 : 2450 – 2462 . DOI: http://dx.doi.org/10.1109/TIP.2011.2128335 .
    Search in Google ScholarBack to article
  43. Quélo D. , Krysta M. , Bocquet M. , Isnard O. , Minier Y. , co-authors . Validation of the Polyphemus platform on the ETEX, Chernobyl and Algeciras cases . Atmos. Environ . 2007 ; 41 : 5300 – 5315 . DOI: http://dx.doi.org/10.1016/j.atmosenv.2007.02.035 .
    Search in Google ScholarBack to article
  44. Quérel A. , Lemaitre P. , Monier M. , Porcheron E. , Flossmann A. I. , co-authors . An experiment to measure raindrop collection efficiencies: influence of rear capture . Atmos. Meas. Tech . 2014 ; 7 : 1321 – 1330 . DOI: http://dx.doi.org/10.5194/amt-7-1321-2014 .
    Search in Google ScholarBack to article
  45. Quérel A. , Roustan Y. , Quélo D. , Benoit J.-P . Hints to discriminate the choice of wet deposition models applied to an accidental radioactive release . Int. J. Environ. Pollut . 2016 ; 58 : 268 – 279 .
    Search in Google ScholarBack to article
  46. Roselle S. J. , Binkowski F. S . Byun D. W. , Ching J. K. S . Cloud dynamics and chemistry . Science Algorithms of the EPA Models-3 Community Multiscale Air Quality Modeling System . 1999 ; U.S. Environmental Protection Agency . Washington, DC, USA, EPA/600/R–99/030 .
    Search in Google ScholarBack to article
  47. Saito K. , Shimbori T. , Draxler R . JMA's regional atmospheric transport model calculations for the WMO technical task team on meteorological analyses for Fukushima Daiichi Nuclear Power Plant accident . J. Environ. Radioact . 2015a ; 139 : 185 – 199 . DOI: http://dx.doi.org/10.1016/j.jenvrad.2014.02.007 .
    Search in Google ScholarBack to article
  48. Saito K. , Tanihata I. , Fujiwara M. , Saito T. , Shimoura S. , co-authors . Detailed deposition density maps constructed by large-scale soil sampling for gammaray emitting radioactive nuclides from the Fukushima Dai-ichi Nuclear Power Plant accident . J. Environ. Radioact . 2015b ; 139 : 308 – 319 . DOI: http://dx.doi.org/10.1016/j.jenvrad.2014.02.014 .
    Search in Google ScholarBack to article
  49. Sanada Y. , Sugita T. , Nishizawa Y. , Kondo A. , Torii T . The aerial radiation monitoring in japan after the Fukushima Daiichi nuclear power plant accident . Progr. Nucl. Sci. Technol . 2014 ; 76 – 80 . DOI: http://dx.doi.org/10.15669/pnst.4.76 .
    Search in Google ScholarBack to article
  50. Saunier O. , Mathieu A. , Didier D. , Tombette M. , Quélo D. , co-authors . An inverse modeling method to assess the source term of the Fukushima Nuclear Power Plant accident using gamma dose rate observations . Atmos. Chem. Phys . 2013 ; 13 : 11403 – 11421 . DOI: http://dx.doi.org/10.5194/acpd-13-15567-2013 .
    Search in Google ScholarBack to article
  51. Sekiyama T. T. , Kunii M. , Kajino M. , Shimbori T . Horizontal resolution dependence of atmospheric simulations of the Fukushima nu clear accident using 15-km, 3-km, and 500-m grid models . J. Meteorol. Soc. Jpn . 2015 ; 93 : 49 – 64 . DOI: http://dx.doi.org/10.2151/jmsj.2015-002 .
    Search in Google ScholarBack to article
  52. Steinhauser G. , Brandl A. , Johnson T. E . Comparison of the Chernobyl and Fukushima nuclear accidents: a review of the environmental impacts . Sci. Total Environ . 2014 ; 470–471 : 800 – 817 . DOI: http://dx.doi.org/10.1016/j.scitotenv.2013.10.029 .
    Search in Google ScholarBack to article
  53. Stohl A. , Seibert P. , Wotawa G. , Arnold D. , Burkhart J. F. , co-authors . Xenon-133 and caesium-137 releases into the atmosphere from the Fukushima Dai-ichi nuclear power plant: determination of the source term, atmospheric dispersion . Atmos. Chem. Phys . 2012 ; 12 : 2313 – 2343 . DOI: http://dx.doi.org/10.5194/acp-12-2313-2012 .
    Search in Google ScholarBack to article
  54. Terada H. , Katata G. , Chino M. , Nagai H . Atmospheric discharge and dispersion of radionuclides during the Fukushima Dai-ichi Nuclear Power Plant accident. Part II: verification of the source term and analysis of regional-scale atmospheric dispersion . J. Environ. Radioact . 2012 ; 112 : 141 – 154 . DOI: http://dx.doi.org/10.1016/j.jenvrad.2012.05.023 .
    Search in Google ScholarBack to article
  55. Villani C . Optimal Transport: Old and New . 2008 . Vol. 338. Springer-Verlag, Berlin. DOI: http://dx.doi.org/10.1007/978-3-540-71050-9 .
    Search in Google ScholarBack to article
  56. Wackernagel H . Multivariate Geostatistics. 3rd ed . 2003 ; Springer-Verlag, Berlin. .
    Search in Google ScholarBack to article
  57. Winiarek V. , Bocquet M. , Duhanyan N. , Roustan Y. , Saunier O. , co-authors . Estimation of the caesium-137 source term from the Fukushima Daiichi nuclear power plant using a consistent joint assimilation of air concentration and deposition observations . Atmos. Environ . 2014 ; 82 : 268 – 279 . DOI: http://dx.doi.org/10.1016/j.atmosenv.2013.10.017 .
    Search in Google ScholarBack to article
  58. Winiarek V. , Bocquet M. , Saunier O. , Mathieu A . Estimation of errors in the inverse modeling of accidental release of atmospheric pollutant: application to the reconstruction of the cesium-137 and iodine-131 source terms from the Fukushima Daiichi power plant . J. Geophys. Res . 2012 ; 117 : D05122 . DOI: http://dx.doi.org/10.1029/2011JD016932 .
    Search in Google ScholarBack to article
  59. Yasunari T. J. , Stohl A. , Hayano R. S. , Burkhart J. F. , Eckhardt S. , co-authors . Cesium-137 deposition and contamination of Japanese soils due to the Fukushima nuclear accident . Proc. Natl. Acad. Sci. U.S.A . 2011 ; 108 : 19530 – 19534 . DOI: http://dx.doi.org/10.1073/pnas.1112058108 .
    Search in Google ScholarBack to article
  60. Zhang L. , Gong S. , Padro J. , Barrie L . A size-segregated particle dry deposition scheme for an atmospheric aerosol module . Atmos. Environ . 2001 ; 35 : 549 – 560 . DOI: http://dx.doi.org/10.1016/S1352-2310(00)00326-5 .
    Search in Google ScholarBack to article
DOI: https://doi.org/10.3402/tellusb.v68.31682 | Journal eISSN: 1600-0889
Journal RSS Feed
Language: English
Page range: 31682 - 31682
Submitted on: Mar 1, 2016
Accepted on: Aug 14, 2016
Published on: Jan 1, 2016
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
Keywords:
Wasserstein distance,
non-local metric,
statistical indicators,
verification,
Fukushima-Daiichi accident,
radionuclides

© 2016 Alban Farchi, Marc Bocquet, Yelva Roustan, Anne Mathieu, Arnaud Quérel, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 68 (2016): Issue 1
Previous article