Figure 5 A

EC OCM SO4 Si NO3 Na

Complete case P osterior estimate 1.28692933

- 0.46007670

- 1.04279285 1.44459409 1.22761531 0.23238397

Posterior interval Lower bound 0.3402020

- 1.4450386

- 1.9836220 0.5969304 0.3803867

- 0.5593048

Posterior interval Upper bound 2.2460586 0.5503927

- 0.1159751 2.3539157 2.1031885 1.0229177

All case P osterior estimate 0.63484363

- 0.03966882

- 1.46058708 0.81438963 0.40455322

- 0.39578879

Posterior interval Lower bound 0.04055138

- 0.71524659

- 2.16479587 0.20138336

- 0.21626236

- 0.99329072

Posterior interval Upper bound 1.2392670 0.6643089

- 0.7453204 1.4225731 1.0198128 0.2052672

Figure 5 B

EC OCM SO4 Si NO3 Na

Complete case P osterior estimate 0.003653686

- 0.079300809 0.382435986

- 0.228295217

- 0.131582725 0.583053756

Posterior interval Lower bound

- 0.320051278

- 0.442955537 0.086573908

- 0.529145215

- 0.402117205 0.310079390

Posterior interval Upper bound 0.346107471 0.283244765 0.681555716 0.068724441 0.142766829 0.864455785

All case P osterior estimate 0.03970781

- 0.09463931 0.33239610

- 0.33314601

- 0.10948036 0.39192535

Posterior interval Lower bound

- 0.1821599

- 0.3430556 0.0966060

- 0.5533934

- 0.3183361 0.1807518

Posterior interval Upper bound 0.25644027 0.14323883 0.56771231

- 0.11984849 0.10325578 0.60804049Figure S3 Top

EC OCM SO4 Si NO3 Na

Complete case P osterior estimate 1.2512002

- 0.5503317

- 5.5023940 3.0922887 1.7994882 0.9925164

Posterior interval Lower bound

- 0.4570725

- 3.4168728

- 7.7534311 1.0719010 0.5000372

- 0.3629058

Posterior interval Upper bound 3.038339 2.389117

- 3.196035 5.122473 3.089580 2.381205

All case P osterior estimate 0.7228563

- 0.1269402

- 1.5950565 1.1736683 1.3760288 0.5403980

Posterior interval Lower bound

- 0.154639533

- 1.129246937

- 2.640329875 0.270110302 0.491432515

- 0.377120852

Posterior interval Upper bound 1.6410636 0.9008576

- 0.5418079 2.0901508 2.2976141 1.4244734

Figure S3 Bottom

EC OCM SO4 Si NO3 Na

Complete case P osterior estimate

- 0.28396599

- 0.57199131

- 2.32322967 1.71719173 0.05412797 0.28355702

Posterior interval Lower bound

- 1.2984086

- 2.3477964

- 3.7807429 0.4829483

- 0.7108196

- 0.5345123

Posterior interval Upper bound 0.7854928 1.2334817

- 0.8229682 2.9623396 0.8407057 1.1062598

All case P osterior estimate

- 0.5497356 0.4282163

- 0.7677222 0.9428480

- 0.1113610

- 0.4310982

Posterior interval Lower bound

- 1.1008655

- 0.2165922

- 1.4125939 0.3796295

- 0.6669681

- 0.9826114

Posterior interval Upper bound

- 0.00365727 1.05456036

- 0.09939811 1.51250194 0.45122952 0.13401784Figure S4 Top

EC OCM SO4 Si NO3 Na

Complete case P osterior estimate

- 0.4224613 0.1278761 0.2821726

- 0.4756639

- 0.6905350 0.3890341

Posterior interval Lower bound

- 1.00578597

- 0.49710465

- 0.22516565

- 0.99521677

- 1.14077096

- 0.08893162

Posterior interval Upper bound 0.15911346 0.76019491 0.81049267 0.03132724

- 0.23307536 0.88319084

All case P osterior estimate 0.007368805 0.030494346 0.260254712

- 0.666459061

- 0.645651900 0.324205282

Posterior interval Lower bound

- 0.39784881

- 0.42451967

- 0.18047252

- 1.05833903

- 1.02277373

- 0.03635381

Posterior interval Upper bound 0.4300448 0.4939300 0.7041889

- 0.2687262

- 0.2675757 0.7115996

Figure S4 Bottom

EC OCM SO4 Si NO3 Na

Complete case P osterior estimate 0.178687056

- 0.171099059 0.466330116

- 0.189742856

- 0.002907371 0.594344174

Posterior interval Lower bound

- 0.1971655

- 0.5802714 0.1204770

- 0.5287679

- 0.3190268 0.2817072

Posterior interval Upper bound 0.5684775 0.2299798 0.8053780 0.1462131 0.3081527 0.9112408

All case P osterior estimate 0.068049146

- 0.151358191 0.443677750

- 0.281520184

- 0.004450573 0.346770610

Posterior interval Lower bound

- 0.1776330

- 0.4290548 0.1778341

- 0.5229382

- 0.2330231 0.1239068

Posterior interval Upper bound 0.31947731 0.13285332 0.70354454

- 0.03516217 0.23020872 0.57967133