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Positive Matrix Factorization
License from Pentti Paatero
• www.helsinki.fi/~paatero/PMF
• Installation instructions are in part 1 of
User's Guide, file PMFDOC1.pdf. Available on
CD and the FTP site.
• make a small "ascii" text file ("flat text file") that
only contains the three lines, below, and nothing
else. Name this file pmf2key.key.
977183689#.#PMF2KEY#PMF3KEY#ME-2KEY#5169#MSDOS
#UNTIL200810#LICENCE:
Kimberly A. Prather, UCSD, USA
Expire Sep 28
Validate Data
• Calculate the missing count, BDL count for
each variable
• Choose variable with low missing and BDL
values
• Replace the missing one with mean value,
and the error estimate set to 4*mean
• Replace the BDL value with ½ DL, set the
error estimate as 5/6*DL
Selection of variables
• Good signal-to-noise ratios (Na vs Na+)
• Important to mass (sulfate, carbon, nitrate)
• Tracers for important sources (K, Fe, Zn,
V, Se etc)
• Normal species should have at least 50%
above detection limit
• Key tracers (V for oil combustion, Se for
coal, K for BB) should have at least 33%
above detection limit
• Take care of spikes
NO3
OC1
OC2
OC3
OC4
OP
P
Pb
Rb
S
Se
Si
SO4
Sr
Ti
V
Zn
Zr
BDL%
0 25 50 75 100
BDL%
0 25 50 75 100
Al
As
Br
Ca
Cl
Cr
Cu
EC1
EC2
EC3
Fe
H
K
PM2
Mg
Mn
NO2
Na
Ni
Excluded Variable: Zr, P, Mg, EC3, Cr, Cl, Na, As
Select SO4, exclude S
OC=OC1+OC2+OC3+OC4 OCerror=OC1error+OC2error+OC3error+OC4error
EC=EC1+EC2-OP ECerror = EC1error+EC2error+EC3error
PMF2
• Prepare Data file: TOTAL.dat
• Prepare Data Error file: TOTAL_SD.dat
• Revise .ini file
Run PMF2
G_FACTOR.TXT: Temporal variation of source contribution
F_FACTOR.TXT: Chemical composition of source (source profile)
TEMP.TXT
Check Q and Residues
PMF/Measured
0.70
0.75
0.80
0.85
0.90
0.95
1.00
1.05
PM2.5
Si
Fe
Al
Mn
Ca
Ti
Rb
Sr
OC
H
Br
Zn
EC
K
SO4
Ni
V
Se
Cu
Pb
NO2
NO3
0
0.5
1
PM2.5
Si
Fe
Al
Mn
Ca
Ti
Rb
Sr
OC
H
Br
Zn
EC
K
SO4
Ni
V
Se
Cu
Pb
NO2
NO3
F5
0
0.5
1
PM2.5
Si
Fe
Al
Mn
Ca
Ti
Rb
Sr
OC
H
Br
Zn
EC
K
SO4
Ni
V
Se
Cu
Pb
NO2
NO3
F4
0
0.2
0.4
0.6
PM2.5
Si
Fe
Al
Mn
Ca
Ti
Rb
Sr
OC
H
Br
Zn
EC
K
SO4
Ni
V
Se
Cu
Pb
NO2
NO3
F3
0
0.5
1
PM2.5
Si
Fe
Al
Mn
Ca
Ti
Rb
Sr
OC
H
Br
Zn
EC
K
SO4
Ni
V
Se
Cu
Pb
NO2
NO3
F2
0
0.5
1
1.5
PM2.5
Si
Fe
Al
Mn
Ca
Ti
Rb
Sr
OC
H
Br
Zn
EC
K
SO4
Ni
V
Se
Cu
Pb
NO2
NO3
F1
10
8
6
4
2
0
F1
6
4
2
0
F2
6
4
2
0
F3
10
8
6
4
2
0
F4
3.0
2.0
1.0
0.0
F5
PM2.5 Mass Concn (ug/m3)

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PMF