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. Author manuscript; available in PMC: 2015 Aug 25.
Published in final edited form as: Atmos Chem Phys. 2015 Feb 10;15:6943–6958. doi: 10.5194/acp-15-6943-2015

Table 4.

Closure model performance as quantified by variance explained (top) and normalized mean error (bottom). Models (i)–(iv) include holding constant either CCN, activation ratio (AR), κ, or size distribution (SD). Model (v) uses the cluster properties and associations (see Fig. 5 and Table 3), model (vi) uses the same assumptions as model (iii) except that κ is determined from cluster associations, and model (vii) is a reconstruction for reference only. A dash (–) indicates that the result is not available or performed so poorly it cannot be quantified by the metric.

Model (%VE)
(i)
Const. CCN
(ii)
Const. AR
(iii)
Const. κ
(iv)
Const. SD
(v)
Clus. only
(vi)
Clus. κ
(vii)
Ref.
All ALL 3.7 63.2 43.9 62.3 68.4 99.6
W 44.9 81.6 72.5 78.4 84.1 99.7
S 25.3 55.3 3.5 37.5 99.7
PM 40.5 43.1 34.2 99.4
M 35.5 42.3 99.1
F 40.3 31.1 3.4 54.6 99.4

Daily ALL 6.1 70.0 47.0 99.4
W 35.9 81.2 71.6 99.5
S 6.5 62.1 99.0
PM 0.2 52.5 15.4 98.7
M 64.0 98.5
F 59.9 17.8 98.1

Weekly ALL 7.1 67.7 43.3 99.0
W 15.8 66.4 77.8 98.8
S 6.0 33.7 74.1 98.3
PM 45.4 72.9 75.8 96.9
M 43.9 96.3
F 3.9 89.5 0.3 97.9

Model (%NME)
(i)
Const. CCN
(ii)
Const. AR
(iii)
Const. κ
(iv)
Const. SD
(v)
Clus. only
(vi)
Clus. κ
(vii)
Ref.

All ALL 73 72 45 55 45 41 4.4
W 94 70 40 49 44 38 5.2
S 70 73 60 47 69 55 4.0
PM 46 59 36 53 35 38 3.7
M 34 58 27 58 36 26 3.3
F 53 60 41 44 52 36 4.0

Daily ALL 53 52 29 40 4.2
W 63 51 27 34 4.6
S 48 47 60 30 4.7
PM 33 32 22 30 3.7
M 26 37 16 37 3.2
F 31 34 20 28 4.2

Weekly ALL 36 35 20 27 3.6
W 36 33 21 17 4.0
S 27 26 22 14 3.5
PM 22 16 11 11 3.8
M 16 20 12 25 3.1
F 21 21 6.8 21 3.1