AMS Mass Concentrations Uncertainties

 
Uncertainties in AMS mass
concentrations
 
Roya Bahreini
AMS Clinic 2012
 
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!
 
Calculating mass concentrations
 
Bahreini 
et al.
, 
JGR
, 2009
 
Error propagation
 
John R. Taylor. (1997) 
An Introduction to Error Analysis: The study of uncertainties in
physical measurements
. (Second Edition) Sausalito, CA: University Science books.
 
Overall uncertainty
 
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Accuracy (uncertainty) vs. Precision
 
Precision:
Noise in the data
detection limit
 
High Accuracy
Low Precision
 
Low Accuracy
High Precision
 
Mass Closure
 
Mass Ratio =(AMS mass+BC mass)/(volume×
)
AMS mass: 30% uncertainty
BC mass: 15% uncertainty
Volume: 30-45% uncertainty from UHSAS
mass weighted density (
): 
7%
 uncertainty (
10%
uncertainty of 
OA
 )
 
 
 
 
 
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Mass closure:
Mass Ratio
 
Middlebrook 
et al.
, 
AST
, 2012
 
2
 circle of combined uncertainties
x
 
Aerosol Acidity Effect
 
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Acidity , CE
 
CE
dry
 = max (0
.
45
, 
1
.
0 − 0
.
73 ×NH
4
/NH
4
,
predict
)   [Eq. 4]
 
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ANMF , CE
 
CE
dry 
= max(0
.
45
, 
0
.
0833 + 0
.
9167×
ANMF
)   [ Eq. 6]
 
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Consider uncertainties in AMS mass concentrations when presenting data outside the users' community. Learn about error propagation, overall uncertainty, and mass closure ratios. Understand the importance of accuracy versus precision in data interpretation. Ensure accuracy in mass ratio calculations by accounting for uncertainties in various parameters.

  • Uncertainties
  • AMS data
  • Error propagation
  • Mass closure
  • Accuracy

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  1. Uncertainties in AMS mass concentrations Especially an important consideration when presenting AMS data to those outside the users community! Roya Bahreini AMS Clinic 2012

  2. Calculating mass concentrations 1 1 1 1 mass species IE RIE CE Q 3 NO species Parameter IENO3 RIEspecies Uncertainty 10% Procedure Reference Routine NH4NO3 cals Jimenez et al., 2003; Alfarra et al., 2004; Canagaratna et al., 2007 NH4+ SO42- 10% Routine NH4NO3 cals Previous lab+ computational results Previous lab+ computational results Previous lab+ field results Routine cals 15% OA 20% CE 30% Matthew et al., 2008, Middlebrook et al., 2012 Q <0.5% TE 10% Lens transmission Bahreini et al., JGR, 2009

  3. Error propagation John R. Taylor. (1997) An Introduction to Error Analysis: The study of uncertainties in physical measurements. (Second Edition) Sausalito, CA: University Science books.

  4. Overall uncertainty Q, IE, CE uncertainties 33% 33% 35% 37% Q, IE, CE, TE uncertainties 34% 34% 36% 38% NH4+ NO3- SO42- OA Total AMS mass: Overall uncertainty of 20-35% Note: uncertainty in the ratios may be better since some of the parameters cancel out (for example, NH4/SO4 has a better uncertainty since uncertaitny in IENO3, CE, and Q cancel out.

  5. Accuracy (uncertainty) vs. Precision http://upload.wikimedia.org/wikipedia/commons/thumb/3/3a/High_precision_Low_accuracy.svg/100px-High_precision_Low_accuracy.svg.png http://upload.wikimedia.org/wikipedia/commons/thumb/1/10/High_accuracy_Low_precision.svg/100px-High_accuracy_Low_precision.svg.png Low Accuracy High Precision High Accuracy Low Precision Precision: Noise in the data detection limit

  6. Mass Closure Mass Ratio =(AMS mass+BC mass)/(volume ) AMS mass: 30% uncertainty BC mass: 15% uncertainty Volume: 30-45% uncertainty from UHSAS mass weighted density ( ): 7% uncertainty (10% uncertainty of OA ) + 2 4 + + + + NH + NO SO OA BC 4 3 = + 2 4 + + + ( . 1 / ) 75 . 1 / 25 8 . 1 / NH NO SO OA BC 4 3 Mass Ratio: Overall uncertainty of 45%

  7. Mass closure: Mass Ratio http://upload.wikimedia.org/wikipedia/commons/thumb/1/10/High_accuracy_Low_precision.svg/100px-High_accuracy_Low_precision.svg.png x 2 circle of combined uncertainties Middlebrook et al., AST, 2012

  8. Aerosol Acidity Effect CEdry = max (0.45, 1.0 0.73 NH4/NH4,predict) [Eq. 4] Apparent CE (AMS w/ CE=1) Acidity , CE NH4+,predict=18 (2 SO42-/96+NO3-/62+Cl-/35)

  9. AerosolNitrate Effect CEdry = max(0.45, 0.0833 + 0.9167 ANMF) [ Eq. 6] Apparent CE (AMS w/ CE=1) ANMF , CE ANMF=80/62 NO3-/(SO42-+NO3-+Cl-+NH4++OA)

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