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Tianfeng Chai, Roland Draxler, and Ariel Stein NOAA Air Resources Laboratory College Park, Maryland, USA

!! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

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Page 1: !! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

     Tianfeng  Chai,  Roland  Draxler,  and  Ariel  Stein  

NOAA  Air  Resources  Laboratory  College  Park,  Maryland,  USA  

Page 2: !! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

 ObjecCve  

24/09/15   Air  Resources  Laboratory   2  Day

Cs-137Em

issionrate(Bq/hr)

03/13 03/18 03/23 03/28 04/021011

1012

1013

1014

Katata  et  al.  (2015)    HYSPLIT  (Hybrid  Single-­‐ParCcle  Lagrangian  Integrated  Trajectory)  

EsCmaCon  of  radionuclide  releases  from  the  Fukushima  nuclear  accident  

Page 3: !! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

Methodology  

24/09/15   Air  Resources  Laboratory   3  

•  Transfer  coefficient  matrix  (TCM)  is  used  to  capture  source-­‐receptor    relaConship  (N=99,  M=1296)  

•  Best  release  esCmate  minimizes  the  cost  funcCon  

Page 4: !! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

Twin  experiments    �  In  twin  experiments,  pseudo-­‐observaCons  are  generated  with  known  sources  (Katata  et  al.  2015  )  

24/09/15   Air  Resources  Laboratory   4  

Where    

�  They  are  used  to  address  the  following  issues:  1.  How  to  measure  the  concentraCon/release  differences?  2.  How  does  the  cost  funcCon  approach  compare  to  SVD?  3.  Will  the  results  be  sensiCve  to  measurement  errors?  4.  Will  the  results  be  sensiCve  to  the  first  guess?  

Page 5: !! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

24/09/15   Air  Resources  Laboratory   5  

Control  and  metric  variables  

MAE:  mean  absolute  error;  RMSE:  root-­‐mean-­‐square  error;  MRE:  mean  relaCve  error;  R:  linear  correlaCon  coefficient.  Units  of  MAE  and  RMSE:  mBq/m3  for  concentraCons,  Bq/h  for  releases.  

Page 6: !! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

24/09/15   Air  Resources  Laboratory   6  

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Day

Cs-137Em

issionrate(Bq/hr)

03/12 03/19 03/26 04/021011

1012

1013

1014KatataT01T02T03T04SVD

+

Twin  experiments:  Control  and  metric  variables  

Page 7: !! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

24/09/15   Air  Resources  Laboratory   7  

ObservaConal  error  &  SVD  

MAE:  mean  absolute  error;  RMSE:  root-­‐mean-­‐square  error;  MRE:  mean  relaCve  error;  R:  linear  correlaCon  coefficient.  Units  of  MAE  and  RMSE:  mBq/m3  for  concentraCons,  Bq/h  for  releases.  

Page 8: !! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

24/09/15   Air  Resources  Laboratory   8  

First  guess  

MAE:  mean  absolute  error;  RMSE:  root-­‐mean-­‐square  error;  MRE:  mean  relaCve  error;  R:  linear  correlaCon  coefficient.  Units  of  MAE  and  RMSE:  mBq/m3  for  concentraCons,  Bq/h  for  releases.  

Page 9: !! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

24/09/15   Air  Resources  Laboratory   9  

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Day

Cs-137Em

issionrate(Bq/hr)

03/12 03/19 03/26 04/021011

1012

1013

1014KatataR01+

Real  observaCons:  without  smoothness  (R01)  

Page 10: !! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

24/09/15   Air  Resources  Laboratory   10  Day

Cs-137Em

issionrate(Bq/hr)

03/12 03/19 03/26 04/021011

1012

1013

1014

KatataR02R03

Smoothness  penalty  term  R02:  Csm  =  1.0  R03:  Csm  =  0.1  

Page 11: !! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

24/09/15   Air  Resources  Laboratory   11  Day

Cs-137Em

issionrate(Bq/hr)

03/12 03/19 03/26 04/021011

1012

1013

1014

Katata-6hrKatata-24hrKatata-96hrR02R03

Compared  to  running-­‐average    

Page 12: !! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

24/09/15   Air  Resources  Laboratory   12  

Limited  observaCon  

Csm  =  1.0  

Page 13: !! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

24/09/15   Air  Resources  Laboratory   13  

Day

G131,P131,TotalI131

03/12 03/19 03/26 04/02

1012

1013

1014

1015

G131P131Total I131G131P131Total I131

Half  life:  Cs-­‐137=30.17  years  ,  I-­‐131=  8.02  days  

I-­‐131  test  cases  

Page 14: !! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

Summary  �   Emission  inversion  has  been  built  based  on  HYSPLIT  model,  its  TCM,  and  a  cost  funcCon;  

�   Cs-­‐137/I-­‐131  releases  from  Fukushima  accident  were  recovered  using  global  air  concentraCons;  

�   Using  ln(c)  differences  in  the  cost  funcCon  is  bejer  than  using  concentraCons  themselves;  

�   Inversion  is  not  sensiCve  to  observaConal  errors  or  different  first  guesses;  

�   A  temporal  smoothness  penalty  is  capable  of  removing  arCficial  variability  from  the  results.  

24/09/15   Air  Resources  Laboratory   14  

Page 15: !! Tianfeng!Chai,!Roland!Draxler,!and!Ariel!Stein!Chai,!Roland!Draxler,!and!Ariel!Stein!! NOAA!Air!Resources!Laboratory! College!Park,!Maryland,!USA!! Objecve! 24/09/15 Air(Resources

Thank  you!    

24/09/15   Air  Resources  Laboratory   15  

Acknowledgement:      This  study  was  supported  by  NOAA  grant  NA09NES4400006  (CooperaCve  InsCtute  for  Climate  and  Satellites-­‐CICS)  at  the    Resources  Laboratory  in  collaboraCon  with  the  University  of  Maryland.  AddiConal  funding  for  this  study  was  provided  by  the  U.S.  Department  of  State.  

Reference:      Source  term  esCmaCon  using  air  concentraCon  measurements  and  a  Lagrangian  dispersion  model–Experiments  with  pseudo  and  real  cesium-­‐137  observaCons  from  the  Fukushima  nuclear  accident,    T  Chai,  R  Draxler,  A  Stein    Atmos.  Environ.  106,  241-­‐251,  2015