DRAFT

**Ac adia National Park**  **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 5.8955 4.3123 18.596 0.4601 34.7059 1048 RECON 5.5713 3.831 14.6764 0.8112 32.7184 1048 ASULFATE 2.6572 2.2712 5.1584 0.22 20.5352 1048 ANO3 0.3973 0.4271 0.1824 0.0066 4.8273 1048 OCM 1.8105 1.6945 2.8715 -0.0439 28.4308 1048 LAC 0.2665 0.2071 0.0429 -0.0097 2.0064 1048 SOIL 0.2069 0.1617 0.0262 0.0025 1.8796 1048 SEASALT 0.2328 0.4447 0.1977 0.0005 5.7541 1048

**Ac adia National Park**  Sulfate mass fraction 0.451 Nitrate mass fraction 0.067 OC mass fraction 0.307 LAC mass fraction 0.045 Soil mass fraction 0.035 Seasalt mass fraction 0.039 Missing mass fraction 0.055

**Ac adia National Park**  **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.080641 0.0848750.950122 0.342 ASULFATE 1.22981 0.023791 51.69274 0 ANO3 -0.09865 0.122554 -0.80492 0.421 OCM 1.0297380.03275931.43336 0 LAC 0.73063 0.3136442.329486 0.02 SOIL 1.397692 0.2871154.868052 0 SEASALT 1.0218670.100106 10.20784 0Valid cases: 1048 RSquared: 0.903

**Ad dison Pinnacle**  **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 5.5835 3.5741 12.7744 1.5756 17.7838 59 RECON 6.0675 3.7063 13.7363 1.7796 18.6908 59 ASULFATE 2.3938 1.5166 2.3001 0.6376 6.5706 59 ANO3 1.2169 1.5046 2.2637 0.0601 8.2517 59 OCM 1.84 1.225 1.5007 0.5101 6.617 59 LAC 0.2819 0.1699 0.0289 0.0486 0.9533 59 SOIL 0.2418 0.2148 0.0461 0.0124 1.044 59 SEASALT 0.0931 0.079 0.0062 0.0012 0.4055 59

**Ad dison Pinnacle**  Sulfate mass fraction 0.429 Nitrate mass fraction 0.218 OC mass fraction 0.33 LAC mass fraction 0.05 Soil mass fraction 0.043 Seasalt mass fraction 0.017 Missing mass fraction -0.087

Appendix 1 1DRAFT

**Ad dison Pinnacle**  **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.57666 0.160893 -3.58413 0.001 ASULFATE 1.0092390.062546 16.13586 0 ANO3 0.7739780.057783 13.39446 0 OCM 0.8999790.083698 10.75263 0 LAC 1.7503990.7103042.464296 0.017 SOIL 1.52531 0.3642134.187955 0 SEASALT 3.0513590.9163883.329769 0.002Valid cases: 59 RSquared: 0.983

**Ag ua Tibia**  **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 6.3753 4.6595 21.7109 0.775 32.2982 102 RECON 7.3578 5.1729 26.7588 0.8028 35.9701 102 ASULFATE 1.8913 1.4778 2.1839 0.1629 7.4584 102 ANO3 1.759 1.4685 2.1565 0.0491 6.1325 102 OCM 2.4636 3.2276 10.4174 0.2781 28.6223 102 LAC 0.2962 0.2331 0.0543 0.0117 1.8895 102 SOIL 0.6437 0.8077 0.6524 0.0295 6.9455 102 SEASALT 0.304 0.3555 0.1264 0.0018 1.8509 102

**Ag ua Tibia**  Sulfate mass fraction 0.297 Nitrate mass fraction 0.276 OC mass fraction 0.386 LAC mass fraction 0.046 Soil mass fraction 0.101 Seasalt mass fraction 0.048 Missing mass fraction -0.154

**Ag ua Tibia**  **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.008752 0.191714 0.045649 0.964 ASULFATE 0.9555790.072144 13.24544 0 ANO3 0.6952470.075281 9.235326 0 OCM 0.977191 0.047869 20.4137 0 LAC -0.39169 0.700438 -0.55921 0.577 SOIL 1.1800480.109567 10.77013 0 SEASALT 0.938554 0.246252 3.81136 0Valid cases: 102 RSquared: 0.970

Arendtsville **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 10.4327 6.233 38.8503 1.9306 30.9071 102 RECON 11.4742 6.3814 40.7223 2.449 31.5356 102 ASULFATE 4.1931 2.4098 5.8073 0.9347 12.4677 102 ANO3 3.0287 3.0276 9.1663 0.1037 14.2794 102 OCM 3.124 2.2386 5.0112 0.6464 14.7769 102 LAC 0.4702 0.2703 0.0731 0.092 1.7438 102

Appendix 1 2DRAFT

SOIL 0.3571 0.1985 0.0394 0.0165 0.9926 102 SEASALT 0.301 0.4022 0.1618 0.0003 1.8932 102

Arendtsville Sulfate mass fraction 0.402 Nitrate mass fraction 0.29 OC mass fraction 0.299 LAC mass fraction 0.045 Soil mass fraction 0.034 Seasalt mass fraction 0.029 Missing mass fraction -0.1

Arendtsville **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.58768 0.224959 -2.6124 0.01 ASULFATE 1.080681 0.04616323.41017 0 ANO3 1.022114 0.03993825.59225 0 OCM 0.834548 0.08165 10.22106 0 LAC 1.023122 0.64881 1.57692 0.118 SOIL 0.20927 0.691924 0.302446 0.763 SEASALT 0.76495 0.2455953.114676 0.002Valid cases: 102 RSquared: 0.980

**Badlands National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.5613 2.7489 7.5563 0.7648 22.5797 641 RECON 4.4261 2.4909 6.2045 0.9324 22.6034 641 ASULFATE 1.5222 1.0612 1.1261 0.1756 8.4604 641 ANO3 0.4519 0.8617 0.7425 -0.0174 8.3317 641 OCM 1.6146 1.3638 1.8599 -0.2524 19.3203 641 LAC 0.1519 0.0942 0.0089 -0.0062 0.7066 641 SOIL 0.638 0.6091 0.3711 0.0435 6.6212 641 SEASALT 0.0476 0.0933 0.0087 0.0002 1.3805 641

**Badlands National Park** Sulfate mass fraction 0.334 Nitrate mass fraction 0.099 OC mass fraction 0.354 LAC mass fraction 0.033 Soil mass fraction 0.14 Seasalt mass fraction 0.01 Missing mass fraction 0.03

**Badlands National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.0334 0.089171 -0.3746 0.708 ASULFATE 1.1360990.04105827.67025 0 ANO3 0.646262 0.052295 12.35789 0 OCM 1.1010380.043231 25.46896 0 LAC 0.9245690.651191 1.419811 0.156 SOIL 1.0592150.070808 14.95891 0

Appendix 1 3DRAFT

SEASALT -0.43088 0.429926 -1.00222 0.317Valid cases: 641 RSquared: 0.869

**Mount Baldy Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.8647 2.2387 5.0118 0.3754 16.2812 133 RECON 2.9334 2.129 4.5328 0.4318 15.2052 133 ASULFATE 0.7695 0.4665 0.2176 0.0813 2.4304 133 ANO3 0.1528 0.1191 0.0142 -0.0048 0.6254 133 OCM 1.0162 1.0949 1.1988 0.1134 7.7083 133 LAC 0.1055 0.0804 0.0065 0.0129 0.5513 133 SOIL 0.8166 1.2448 1.5496 0.0164 11.7298 133 SEASALT 0.0728 0.0705 0.005 0.0003 0.3335 133

**Mount Baldy** Sulfate mass fraction 0.269 Nitrate mass fraction 0.053 OC mass fraction 0.355 LAC mass fraction 0.037 Soil mass fraction 0.285 Seasalt mass fraction 0.025 Missing mass fraction -0.024

**Mount Baldy Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.04251 0.072095 -0.5897 0.556 ASULFATE 1.1792750.068712 17.16252 0 ANO3 1.262401 0.2906464.343423 0 OCM 0.9463130.056389 16.78179 0 LAC -0.7459 0.766422 -0.97323 0.332 SOIL 1.149001 0.02915939.40427 0 SEASALT -0.19672 0.415893 -0.473 0.637 Valid cases: 133 R-Squared: 0.981

**Bandelier National Monument Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.6697 1.8165 3.2997 0.4669 18.7688 778 RECON 3.6316 1.7484 3.0567 0.5646 18.6836 778 ASULFATE 1.0439 0.6083 0.37 0.1362 5.6072 778 ANO3 0.2121 0.2096 0.0439 -0.0308 2.1633 778 OCM 1.5095 1.0983 1.2063 0.1211 13.5279 778 LAC 0.1695 0.1162 0.0135 -0.0164 1.3148 778 SOIL 0.6447 0.6402 0.4099 0.0245 5.6546 778 SEASALT 0.0518 0.1124 0.0126 0.0002 1.5554 778

**Bandelier National Monument** Sulfate mass fraction 0.284 Nitrate mass fraction 0.058 OC mass fraction 0.411 LAC mass fraction 0.046

Appendix 1 4DRAFT

Soil mass fraction 0.176 Seasalt mass fraction 0.014 Missing mass fraction 0.01

**Bandelier National Monument Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.181602 0.0656062.768062 0.006 ASULFATE 1.2130930.04436827.34183 0 ANO3 0.5371070.1296054.144194 0 OCM 0.846252 0.03821622.14382 0 LAC 0.579664 0.360827 1.606487 0.109 SOIL 1.120662 0.04233626.47072 0 SEASALT 0.1853 0.2297050.806686 0.42 Valid cases: 778 R-Squared: 0.845

**Big Bend National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 6.2749 3.8452 14.7853 0.5155 32.7431 763 RECON 5.9981 3.6087 13.0227 0.654 28.9508 763 ASULFATE 2.3998 1.6023 2.5673 0.1601 11.0368 763 ANO3 0.2638 0.2398 0.0575 0.0128 2.3139 763 OCM 1.6536 1.3036 1.6994 -0.2201 14.5112 763 LAC 0.1704 0.1215 0.0148 -0.0093 0.9723 763 SOIL 1.4457 2.052 4.2107 0.0204 22.8334 763 SEASALT 0.0647 0.1281 0.0164 0.0002 1.8232 763

**Big Bend National Park** Sulfate mass fraction 0.382 Nitrate mass fraction 0.042 OC mass fraction 0.264 LAC mass fraction 0.027 Soil mass fraction 0.23 Seasalt mass fraction 0.01 Missing mass fraction 0.044

**Big Bend National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.059056 0.0738770.799372 0.424 ASULFATE 1.0832390.028704 37.73784 0 ANO3 0.739292 0.1681654.396231 0 OCM 1.0247350.04502622.75889 0 LAC 1.3595850.501041 2.713518 0.007 SOIL 1.019014 0.01999850.95499 0 SEASALT 0.337021 0.273636 1.231637 0.218 Valid cases: 763 R-Squared: 0.940

**Bliss State Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.2307 2.2889 5.2392 -0.1229 17.9342 594 RECON 3.298 2.227 4.9595 0.1953 15.6879 594

Appendix 1 5DRAFT

ASULFAT E 0.6082 0.4792 0.2297 0.0175 2.92 594 ANO3 0.2519 0.2776 0.0771 -0.003 2.9376 594 OCM 1.7235 1.4474 2.095 0.0189 12.0562 594 LAC 0.1721 0.1347 0.0181 -0.0161 0.9464 594 SOIL 0.494 0.9326 0.8697 0.0017 11.8375 594 SEASALT 0.0484 0.0801 0.0064 0.0002 1.324 594

**Bliss State Park** Sulfate mass fraction Nitrate mass fraction OC mass fraction LAC mass fraction Soil mass fraction Seasalt mass fraction Missing mass fraction

**Bliss State Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.04562 0.05638 0.809166 0.419 ASULFATE 1.25034 0.067227 18.59867 0 ANO3 0.5445070.110741 4.916946 0 OCM 0.96588 0.038981 24.77815 0 LAC 0.4818690.420759 1.145239 0.253 SOIL 1.058722 0.03223 32.84875 0 SEASALT 0.3487890.3491580.998942 0.318 Valid cases: 594 R-Squared: 0.914

**Blue Mounds** FM 8.3246 5.405 29.2137 1.7883 27.0127 77 RECON 8.3929 5.2109 27.1535 1.8156 24.5503 77 ASULFATE 2.268 2.0503 4.2039 0.3473 11.4151 77 ANO3 3.4109 3.3309 11.0949 0.0975 12.8957 77 OCM 1.7086 0.9416 0.8866 0.4961 5.7965 77 LAC 0.2533 0.1294 0.0168 0.0389 0.6023 77 SOIL 0.6337 0.6296 0.3964 0.0241 4.1654 77 SEASALT 0.1185 0.0945 0.0089 0.0013 0.4673 77

**Blue Mounds** Sulfate mass fraction 0.272 Nitrate mass fraction 0.41 OC mass fraction 0.205 LAC mass fraction 0.03 Soil mass fraction 0.076 Seasalt mass fraction 0.014 Missing mass fraction -0.008

**Blue Mounds Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.24106 0.163399 -1.4753 0.145 ASULFATE 1.003082 0.04063224.68707 0 ANO3 1.087176 0.02729739.82753 0

Appendix 1 6DRAFT

OCM 1.2375950.149584 8.273579 0 LAC -1.75157 1.062486 -1.64856 0.104 SOIL 1.0865430.130608 8.31911 0 SEASALT 1.8820480.6942562.710884 0.008Valid cases: 77 RSquared: 0.990

Bosque del Apache **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 3.5791 2.0271 4.109 0.6529 16.1269 130 RECON 3.9257 1.9804 3.9222 0.5381 14.8498 130 ASULFATE 0.9589 0.6058 0.367 0.1804 4.697 130 ANO3 0.4128 0.5605 0.3142 0.0348 3.0766 130 OCM 1.3674 0.8215 0.6748 0.1024 5.2888 130 LAC 0.2116 0.1859 0.0346 0.003 1.5205 130 SOIL 0.8798 1.1279 1.2722 0.0742 9.8569 130 SEASALT 0.0953 0.1102 0.0121 0.0007 0.7664 130

Bosque del Apache Sulfate mass fraction 0.268 Nitrate mass fraction 0.115 OC mass fraction 0.382 LAC mass fraction 0.059 Soil mass fraction 0.246 Seasalt mass fraction 0.027 Missing mass fraction -0.097

Bosque del Apache **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.26178 0.072784 -3.59665 0 ASULFATE 1.3407480.05558424.12133 0 ANO3 0.8517150.071941 11.83901 0 OCM 0.7897180.056648 13.94086 0 LAC 0.3870080.219696 1.761557 0.081 SOIL 1.1486390.02909739.47649 0 SEASALT 0.329611 0.301337 1.093829 0.276 Valid cases: 130 R-Squared: 0.972

**Bondville Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 9.6921 5.4597 29.8079 2.1482 26.4072 133 RECON 10.2942 5.6173 31.5536 2.3072 32.734 133 ASULFATE 3.0747 2.1461 4.6057 0.6857 12.8401 133 ANO3 4.095 2.9228 8.5427 0.1781 16.1938 133 OCM 2.2323 1.3587 1.8461 0.6172 9.2673 133 LAC 0.3798 0.2 0.04 0.0686 1.1618 133 SOIL 0.3516 0.1936 0.0375 0.02 1.1008 133 SEASALT 0.1608 0.1258 0.0158 0.0032 0.591 133

**Bondville**

Appendix 1 7DRAFT

Sulfate mass fraction 0.317 Nitrate mass fraction 0.423 OC mass fraction 0.23 LAC mass fraction 0.039 Soil mass fraction 0.036 Seasalt mass fraction 0.017 Missing mass fraction -0.062

**Bondville Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.0356770.2318790.153861 0.878 ASULFATE 0.977921 0.064195 15.23371 0 ANO3 1.009982 0.04199324.05144 0 OCM 0.710482 0.150411 4.723595 0 LAC 1.517152 1.089677 1.392295 0.166 SOIL 0.311331 0.658942 0.472471 0.637 SEASALT 1.505522 0.823583 1.828014 0.07 Valid cases: 133 R-Squared: 0.963

**Boundary Waters Canoe A rea**  **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 4.5818 3.639 13.2423 0.3537 21.0032 481 RECON 4.5479 3.5221 12.405 0.073 22.4267 481 ASULFATE 1.6989 1.4837 2.2013 0.0533 11.6321 481 ANO3 0.6756 1.3918 1.9371 -0.0264 8.8911 481 OCM 1.6619 1.6776 2.8144 -0.1219 19.9384 481 LAC 0.1619 0.1343 0.018 -0.022 1.2277 481 SOIL 0.2726 0.2653 0.0704 0.0016 1.6074 481 SEASALT 0.0769 0.1488 0.0222 0.0002 1.3597 481

**Boundary Waters Canoe A rea**  Sulfate mass fraction 0.371 Nitrate mass fraction 0.147 OC mass fraction 0.363 LAC mass fraction 0.035 Soil mass fraction 0.06 Seasalt mass fraction 0.017 Missing mass fraction 0.007

**Boundary Waters Canoe A rea**  **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.09043 0.061492 -1.47061 0.142 ASULFATE 1.178766 0.02787642.28579 0 ANO3 0.8437550.028671 29.42911 0 OCM 1.0470390.031436 33.30685 0 LAC -0.08193 0.490264 -0.16712 0.867 SOIL 1.3210630.1440439.171291 0 SEASALT 0.163411 0.2209170.739694 0.46 Valid cases: 481 R-Squared: 0.962

Appendix 1 8DRAFT

**Bryce Canyon National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.9668 1.9905 3.962 0.061 28.5317 814 RECON 2.9022 1.8666 3.4842 0.0971 27.7868 814 ASULFATE 0.8395 0.5158 0.266 0.0653 3.0247 814 ANO3 0.2392 0.2605 0.0679 0.0032 2.3906 814 OCM 1.083 1.1075 1.2265 -0.2293 16.1456 814 LAC 0.1201 0.1149 0.0132 -0.0167 2.1306 814 SOIL 0.5722 0.6263 0.3922 0.0169 7.4204 814 SEASALT 0.0482 0.0833 0.0069 0.0002 1.5146 814

**Bryce Canyon National Park** Sulfate mass fraction 0.283 Nitrate mass fraction 0.081 OC mass fraction 0.365 LAC mass fraction 0.04 Soil mass fraction 0.193 Seasalt mass fraction 0.016 Missing mass fraction 0.022

**Bryce Canyon National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.00804 0.0489990.164074 0.87 ASULFATE 1.249304 0.048697 25.6545 0 ANO3 0.4960930.0922495.377786 0 OCM 0.775446 0.03708220.91161 0 LAC 1.163406 0.348274 3.34049 0.001 SOIL 1.406342 0.040174 35.00636 0 SEASALT 0.1458970.276004 0.528603 0.597 Valid cases: 814 R-Squared: 0.893

**Breton Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 6.2389 3.4966 12.2265 1.7666 20.5012 112 RECON 6.3057 3.2565 10.6045 2.1139 17.5491 112 ASULFATE 2.9489 1.5782 2.4907 0.6391 9.45 112 ANO3 0.6454 0.6231 0.3882 0.0587 4.361 112 OCM 1.5563 1.3008 1.6922 -0.0333 8.78 112 LAC 0.2578 0.1857 0.0345 0.0034 1.3282 112 SOIL 0.5823 1.2546 1.5741 0.0058 9.0175 112 SEASALT 0.3151 0.353 0.1246 0.0023 1.5984 112

**Breton** Sulfate mass fraction 0.473 Nitrate mass fraction 0.103 OC mass fraction 0.249 LAC mass fraction 0.041 Soil mass fraction 0.093 Seasalt mass fraction 0.05 Missing mass fraction -0.011

Appendix 1 9DRAFT

**Breton Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.0913280.191166 0.477742 0.634 ASULFATE 1.1601280.059379 19.5376 0 ANO3 0.695572 0.1724634.033173 0 OCM 0.4968890.141538 3.51063 0.001 LAC 1.755717 1.00983 1.738626 0.085 SOIL 1.5139930.06758522.40144 0 SEASALT 0.539636 0.2372552.274504 0.025 Valid cases: 112 R-Squared: 0.945

**Bridger Wilderness Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.6246 1.9696 3.8794 0.2778 19.2781 826 RECON 2.5658 1.7969 3.2288 0.1557 19.1804 826 ASULFATE 0.6669 0.3854 0.1485 0.058 2.4946 826 ANO3 0.1516 0.1279 0.0164 -0.0379 1.0105 826 OCM 1.1419 1.2053 1.4527 -0.36 16.7787 826 LAC 0.0958 0.0988 0.0098 -0.0259 1.4152 826 SOIL 0.4696 0.6172 0.381 0.0038 8.2293 826 SEASALT 0.04 0.0516 0.0027 0.0002 0.4162 826

**Bridger Wilderness** Sulfate mass fraction 0.254 Nitrate mass fraction 0.058 OC mass fraction 0.435 LAC mass fraction 0.037 Soil mass fraction 0.179 Seasalt mass fraction 0.015 Missing mass fraction 0.022

**Bridger Wilderness Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.06831 0.050883 -1.34244 0.18 ASULFATE 1.3093930.071095 18.41754 0 ANO3 0.509672 0.21341 2.388233 0.017 OCM 0.959476 0.02635536.40616 0 LAC 0.58771 0.32118 1.829848 0.068 SOIL 1.21641 0.04239228.69435 0 SEASALT 0.480837 0.45229 1.063115 0.288 Valid cases: 826 R-Squared: 0.888

Brigantine National Wildlife Refuge **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 9.7364 5.7883 33.505 1.1676 60.5496 640 RECON 9.9046 5.6169 31.5492 1.7899 49.8909 640 ASULFATE 4.7826 3.6466 13.2978 0.6017 33.0928 640 ANO3 1.167 1.1123 1.2372 0.0699 9.0531 640 OCM 2.6831 1.7208 2.9611 0.4246 13.3859 640 LAC 0.4682 0.303 0.0918 0 1.7073 640

Appendix 1 10DRAFT

SOIL 0.4102 0.5675 0.3221 0.0232 7.8298 640 SEASALT 0.3936 0.667 0.445 0.0003 5.1111 640

Brigantine National Wildlife Refuge Sulfate mass fraction 0.491 Nitrate mass fraction 0.12 OC mass fraction 0.276 LAC mass fraction 0.048 Soil mass fraction 0.042 Seasalt mass fraction 0.04 Missing mass fraction -0.017

Brigantine National Wildlife Refuge **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.2172380.131457 1.652534 0.099 ASULFATE 1.083929 0.01959 55.33053 0 ANO3 0.5375650.063082 8.521689 0 OCM 1.107838 0.0631 17.55692 0 LAC -0.26445 0.329914 -0.80157 0.423 SOIL 1.1824650.102723 11.51117 0 SEASALT 0.9507190.090227 10.53699 0 Valid cases: 640 R-Squared: 0.942

Brooklyn Lake **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 2.0213 1.739 3.0241 0.0604 8.5212 113 RECON 2.0707 1.6781 2.816 0.0844 8.8227 113 ASULFATE 0.5755 0.3478 0.121 0.0622 1.5246 113 ANO3 0.1338 0.1087 0.0118 -0.0157 0.6333 113 OCM 0.8209 1.0859 1.1792 -0.0711 5.803 113 LAC 0.0746 0.0765 0.0058 0.0032 0.5171 113 SOIL 0.4019 0.4773 0.2279 0.0065 3.2712 113 SEASALT 0.064 0.1224 0.015 0.001 1.2181 113

Brooklyn Lake Sulfate mass fraction 0.285 Nitrate mass fraction 0.066 OC mass fraction 0.406 LAC mass fraction 0.037 Soil mass fraction 0.199 Seasalt mass fraction 0.032 Missing mass fraction -0.024

Brooklyn Lake **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.025176 0.063622 0.395718 0.693 ASULFATE 1.0402030.1101179.446352 0 ANO3 0.305442 0.3258480.937377 0.351 OCM 1.0989090.068294 16.0908 0 LAC -1.62681 0.999315 -1.62792 0.107

Appendix 1 11DRAFT

SOIL 1.4800850.072931 20.29423 0 SEASALT -0.29531 0.269128 -1.09727 0.275 Valid cases: 113 R-Squared: 0.967

Bridgton **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 3.818 2.7983 7.8307 1.0194 24.5656 119 RECON 4.3475 2.9407 8.6477 1.3269 25.5394 119 ASULFATE 1.7001 1.7854 3.1876 0.4092 17.7375 119 ANO3 0.388 0.3325 0.1105 0.0241 2.023 119 OCM 1.7138 1.2189 1.4857 0.3292 8.125 119 LAC 0.2222 0.1326 0.0176 0.0184 0.71 119 SOIL 0.1733 0.1657 0.0274 0.0045 1.2231 119 SEASALT 0.1502 0.2222 0.0494 0.0025 1.6368 119

Bridgton Sulfate mass fraction 0.445 Nitrate mass fraction 0.102 OC mass fraction 0.449 LAC mass fraction 0.058 Soil mass fraction 0.045 Seasalt mass fraction 0.039 Missing mass fraction -0.139

Bridgton **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.01015 0.088885 -0.11414 0.909 ASULFATE 1.044514 0.02769337.71707 0 ANO3 0.4027030.1445182.786522 0.006 OCM 0.790706 0.051718 15.28881 0 LAC 1.43083 0.5125272.791718 0.006 SOIL 1.096624 0.2445024.485123 0 SEASALT 0.220174 0.182101 1.209073 0.229 Valid cases: 119 R-Squared: 0.979

**Casco Bay Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 5.3406 4.3601 19.0107 0.6557 40.9052 166 RECON 5.954 5.2865 27.9474 0.9206 55.9276 166 ASULFATE 1.9278 1.3902 1.9325 0.2489 8.2901 166 ANO3 0.5347 0.5108 0.261 0.0402 2.5583 166 OCM 2.672 4.3035 18.5198 0.2389 51.665 166 LAC 0.322 0.2866 0.0822 0.0181 2.52 166 SOIL 0.2626 0.3696 0.1366 0.0094 3.913 166 SEASALT 0.2349 0.4202 0.1766 0.0017 3.2797 166

**Casco Bay** Sulfate mass fraction 0.361 Nitrate mass fraction 0.1

Appendix 1 12DRAFT

OC mass fraction 0.5 LAC mass fraction 0.06 Soil mass fraction 0.049 Seasalt mass fraction 0.044 Missing mass fraction -0.115

**Casco Bay Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.3119 0.083679 -3.72739 0 ASULFATE 1.16512 0.038082 30.59465 0 ANO3 0.56387 0.1096185.143969 0 OCM 0.646324 0.01827535.36679 0 LAC 2.515946 0.313452 8.026575 0 SOIL 1.098562 0.1248758.797326 0 SEASALT 1.1893280.106933 11.12223 0 Valid cases: 166 R-Squared: 0.985

**Cabinet Mountains Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.4026 4.2297 17.8902 -0.0992 31.7842 143 RECON 3.6029 4.3805 19.1888 0.1573 35.2498 143 ASULFATE 0.5597 0.4003 0.1602 0.0313 2.556 143 ANO3 0.1832 0.1292 0.0167 -0.0334 0.5933 143 OCM 2.138 3.6543 13.3538 -0.0979 30.4963 143 LAC 0.1556 0.2187 0.0479 -0.0033 1.8939 143 SOIL 0.4715 0.6958 0.4841 0.0072 4.5503 143 SEASALT 0.095 0.1413 0.02 0.0005 1.1764 143

**Cabinet Mountains** Sulfate mass fraction 0.164 Nitrate mass fraction 0.054 OC mass fraction 0.628 LAC mass fraction 0.046 Soil mass fraction 0.139 Seasalt mass fraction 0.028 Missing mass fraction -0.059

**Cabinet Mountains Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.01861 0.07993 -0.23285 0.816 ASULFATE 1.4577670.151174 9.642982 0 ANO3 -0.13867 0.371479 -0.37329 0.71 OCM 1.1373080.037501 30.32766 0 LAC -2.7782 0.641476 -4.33096 0 SOIL 1.1888570.074353 15.98939 0 SEASALT 0.7479830.2871992.604404 0.01 Valid cases: 143 R-Squared: 0.988

**Cape Cod Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid** 

Appendix 1 13DRAFT

FM 5.1243 3.6053 12.9981 1.4008 32.1687 175 RECON 5.3369 3.5175 12.3731 1.4167 29.756 175 ASULFATE 2.1591 1.8773 3.5243 0.4701 20.2756 175 ANO3 0.6189 0.5249 0.2755 0.0663 3.0076 175 OCM 1.4372 1.246 1.5524 0.1098 11.3812 175 LAC 0.159 0.1206 0.0145 -0.0063 0.7445 175 SOIL 0.2619 0.5835 0.3404 0.0147 7.0449 175 SEASALT 0.7008 0.7928 0.6285 0.0046 4.6727 175

**Cape Cod** Sulfate mass fraction 0.421 Nitrate mass fraction 0.121 OC mass fraction 0.28 LAC mass fraction 0.031 Soil mass fraction 0.051 Seasalt mass fraction 0.137 Missing mass fraction -0.042

**Cape Cod Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.2237350.108157 2.06862 0.04 ASULFATE 1.25489 0.03529735.55186 0 ANO3 0.505264 0.13096 3.85815 0 OCM 0.901692 0.06559 13.74748 0 LAC -2.10344 0.731598 -2.87512 0.005 SOIL 1.3122580.096406 13.61179 0 SEASALT 0.8179890.068579 11.92763 0 Valid cases: 175 R-Squared: 0.971

**Caney Creek Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 6.1283 4.3217 18.677 0.3639 22.5541 45 RECON 6.9237 4.293 18.43 0.5404 18.7717 45 ASULFATE 2.4861 2.1401 4.5801 0.1362 10.5377 45 ANO3 0.977 1.1365 1.2915 0.1107 5.3365 45 OCM 2.6002 1.7093 2.9217 0.2194 6.2386 45 LAC 0.2589 0.1451 0.021 0.0282 0.7126 45 SOIL 0.4207 0.3625 0.1314 0.0411 2.08 45 SEASALT 0.1807 0.2801 0.0785 0.0002 1.2088 45

**Caney Creek** Sulfate mass fraction 0.406 Nitrate mass fraction 0.159 OC mass fraction 0.424 LAC mass fraction 0.042 Soil mass fraction 0.069 Seasalt mass fraction 0.029 Missing mass fraction -0.13

**Caney Creek Variable**  **Estimate Std Error**  **t-value Prob>|t|** 

Appendix 1 14DRAFT

CONSTANT -0.49994 0.232118 -2.1538 0.038 ASULFATE 1.269716 0.068877 18.43454 0 ANO3 0.354531 0.1361172.604606 0.013 OCM 0.7078480.202851 3.489503 0.001 LAC 5.1506372.1675252.376275 0.023 SOIL 0.0741850.436914 0.169793 0.866 SEASALT -0.44355 0.46808 -0.9476 0.349Valid cases: 45 RSquared: 0.975

**Cadiz Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 9.5947 4.9551 24.5534 0.5674 25.7937 47 RECON 10.387 4.9358 24.3626 0.7046 26.6816 47 ASULFATE 4.3594 2.7561 7.5959 0.1761 15.2525 47 ANO3 2.3651 2.3035 5.3061 0.0878 8.7444 47 OCM 2.7141 1.4166 2.0068 0.2902 6.4037 47 LAC 0.3854 0.1768 0.0313 0.0618 0.7744 47 SOIL 0.395 0.2487 0.0619 0.056 1.2268 47 SEASALT 0.1681 0.2376 0.0565 0.0027 1.1281 47

**Cadiz** Sulfate mass fraction 0.454 Nitrate mass fraction 0.246 OC mass fraction 0.283 LAC mass fraction 0.04 Soil mass fraction 0.041 Seasalt mass fraction 0.018 Missing mass fraction -0.083

**Cadiz Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.45937 0.284912 -1.61232 0.115 ASULFATE 1.094544 0.05135821.31221 0 ANO3 1.025006 0.060298 16.99904 0 OCM 1.183206 0.103992 11.37785 0 LAC -0.73449 0.999576 -0.7348 0.467 SOIL -0.47756 0.532846 -0.89624 0.375 SEASALT 0.706711 0.475441 1.486432 0.145Valid cases: 47 RSquared: 0.983

**Canyonlands National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.4331 1.9292 3.7219 0.4299 24.9403 815 RECON 3.2042 1.7229 2.9685 0.4235 20.7527 815 ASULFATE 1.0099 0.5406 0.2922 0.0002 4.1623 815 ANO3 0.2248 0.2938 0.0863 0.0204 3.608 815 OCM 1.0369 0.8441 0.7125 -0.4345 9.383 815 LAC 0.1262 0.0874 0.0076 -0.0256 1.0311 815 SOIL 0.7545 0.9124 0.8325 0.0002 16.6316 815 SEASALT 0.052 0.0749 0.0056 0.0002 1.3639 815

Appendix 1 15DRAFT

**Canyonlands National Park** Sulfate mass fraction 0.294 Nitrate mass fraction 0.065 OC mass fraction 0.302 LAC mass fraction 0.037 Soil mass fraction 0.22 Seasalt mass fraction 0.015 Missing mass fraction 0.067

**Canyonlands National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.139064 0.0574572.420301 0.016 ASULFATE 1.097126 0.04596323.86979 0 ANO3 0.55164 0.086582 6.371322 0 OCM 0.966892 0.04183 23.11484 0 LAC 1.0179090.4191232.428661 0.015 SOIL 1.2131350.02576847.07963 0 SEASALT 0.302274 0.3056570.988931 0.323 Valid cases: 815 R-Squared: 0.888

**Capitol Reef Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.3592 1.3662 1.8664 0.0898 6.2351 135 RECON 2.482 1.1625 1.3514 0.5206 6.0887 135 ASULFATE 0.691 0.428 0.1831 0.1189 2.8887 135 ANO3 0.2995 0.3354 0.1125 0.0123 1.8035 135 OCM 0.7657 0.566 0.3204 0.09 4.1303 135 LAC 0.0972 0.0566 0.0032 0.0128 0.4492 135 SOIL 0.5636 0.5713 0.3264 0.0344 2.7952 135 SEASALT 0.065 0.0618 0.0038 0.0007 0.3219 135

**Capitol Reef** Sulfate 0.293 Nitrate 0.127 OC 0.325 LAC 0.041 Soil 0.239 seasalt 0.028 Missing -0.052

**Capitol Reef Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.2569 0.07483 -3.43318 0.001 ASULFATE 1.06531 0.073184 14.55656 0 ANO3 0.517966 0.1058534.893279 0 OCM 0.972412 0.065157 14.9242 0 LAC 1.2270250.700854 1.750757 0.082 SOIL 1.4681970.05313727.63028 0 SEASALT 0.5157670.474465 1.08705 0.279

Appendix 1 16DRAFT

Valid cases: 135 R-Squared: 0.944

**Cedar Bluff Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 6.3179 4.7653 22.708 1.0561 19.0317 62 RECON 6.3923 4.3615 19.023 1.2023 17.3888 62 ASULFATE 1.9206 1.6855 2.841 0.2379 7.7894 62 ANO3 1.897 2.6087 6.8055 0.0491 11.2387 62 OCM 1.5381 1.1234 1.262 0.2059 5.4862 62 LAC 0.1909 0.1139 0.013 0.0351 0.6469 62 SOIL 0.7506 0.6699 0.4488 0.1657 4.3151 62 SEASALT 0.0952 0.0728 0.0053 0.007 0.2842 62

**Cedar Bluff** Sulfate mass fraction 0.304 Nitrate mass fraction 0.3 OC mass fraction 0.243 LAC mass fraction 0.03 Soil mass fraction 0.119 Seasalt mass fraction 0.015 Missing mass fraction -0.012

**Cedar Bluff Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.71673 0.184192 -3.89123 0 ASULFATE 1.0397180.074753 13.90864 0 ANO3 1.153325 0.04203 27.44078 0 OCM 0.9785630.163092 6.000077 0 LAC 0.140717 1.6709130.084215 0.933 SOIL 1.458706 0.142497 10.23678 0 SEASALT 2.343553 1.227476 1.909245 0.061Valid cases: 62 RSquared: 0.984

Chassahowitzka National Wildlife Refuge **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 9.4303 4.3283 18.7343 1.6211 32.3248 488 RECON 9.484 4.1113 16.9026 2.7465 37.1267 488 ASULFATE 4.0198 2.4206 5.8593 0.5482 16.8868 488 ANO3 0.5721 0.2688 0.0722 0.0764 1.6659 488 OCM 3.1815 1.7969 3.229 0.6057 14.1284 488 LAC 0.5597 0.3842 0.1476 0.0208 3.089 488 SOIL 0.9113 2.1951 4.8185 0.0362 29.6136 488 SEASALT 0.2397 0.3817 0.1457 0.0007 3.1736 488

Chassahowitzka National Wildlife Refuge Sulfate mass fraction 0.426 Nitrate mass fraction 0.061 OC mass fraction 0.337 LAC mass fraction 0.059 Soil mass fraction 0.097

Appendix 1 17DRAFT

Seasalt mass fraction 0.025 Missing mass fraction -0.006

Chassahowitzka National Wildlife Refuge **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.3050430.171173 1.782075 0.075 ASULFATE 1.170362 0.0239 48.97005 0 ANO3 0.57062 0.2246722.539792 0.011 OCM 0.8008550.051021 15.69646 0 LAC 0.901182 0.237646 3.792117 0 SOIL 0.9869990.02571538.38289 0 SEASALT 0.594842 0.1641683.623379 0 Valid cases: 488 R-Squared: 0.924

**Cherokee Nation Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 5.948 2.9723 8.8345 0.551 12.5849 43 RECON 6.6089 3.0495 9.2995 2.3392 12.8358 43 ASULFATE 1.7764 1.1757 1.3824 0.3137 5.2393 43 ANO3 1.6066 1.7552 3.0808 0.1462 6.4623 43 OCM 2.1159 0.8983 0.8069 0.7126 4.3276 43 LAC 0.2739 0.1181 0.0139 0.1118 0.5666 43 SOIL 0.7324 0.5466 0.2988 0.0278 2.7036 43 SEASALT 0.1036 0.0733 0.0054 0.0045 0.3489 43

**Cherokee Nation** Sulfate mass fraction 0.299 Nitrate mass fraction 0.27 OC mass fraction 0.356 LAC mass fraction 0.046 Soil mass fraction 0.123 Seasalt mass fraction 0.017 Missing mass fraction -0.111

**Cherokee Nation Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.43106 0.264178 -1.63171 0.111 ASULFATE 1.0009580.106306 9.415819 0 ANO3 1.070331 0.068016 15.7365 0 OCM 1.0819470.172051 6.288539 0 LAC -2.1954 1.404 -1.56368 0.127 SOIL 1.671686 0.196544 8.505408 0 SEASALT -0.29858 1.313418 -0.22733 0.821Valid cases: 43 RSquared: 0.968

Chiricahua National Monument **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 4.1974 2.2944 5.2641 0.3251 22.5294 886 RECON 3.8563 2.1144 4.4706 0.4874 19.5604 886 ASULFATE 1.35 0.8243 0.6794 0.0799 7.0814 886

Appendix 1 18DRAFT

ANO3 0.1859 0.1504 0.0226 -0.0155 0.9474 886 OCM 1.1698 1.1529 1.3291 0.0238 15.241 886 LAC 0.1331 0.1079 0.0116 -0.032 2.2866 886 SOIL 0.9482 0.9451 0.8931 0.0166 9.7907 886 SEASALT 0.0693 0.0984 0.0097 0.0002 1.3388 886

Chiricahua National Monument Sulfate mass fraction 0.322 Nitrate mass fraction 0.044 OC mass fraction 0.279 LAC mass fraction 0.032 Soil mass fraction 0.226 Seasalt mass fraction 0.017 Missing mass fraction 0.081

Chiricahua National Monument **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.0724570.064215 1.128358 0.259 ASULFATE 1.280876 0.03392 37.76216 0 ANO3 0.7931050.217501 3.646449 0 OCM 0.7545680.03484921.65249 0 LAC 1.586116 0.3631034.368225 0 SOIL 1.153301 0.03242 35.57351 0 SEASALT 0.8781270.290811 3.019583 0.003 Valid cases: 886 R-Squared: 0.883

**Cloud Peak Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.4241 2.834 8.0314 -0.155 15.0463 72 RECON 2.5453 2.8236 7.9724 0.1381 14.0377 72 ASULFATE 0.5753 0.4558 0.2077 0.0177 2.6898 72 ANO3 0.1476 0.1324 0.0175 0.0132 0.6298 72 OCM 1.3692 2.2239 4.9459 -0.0331 10.9505 72 LAC 0.0915 0.1264 0.016 0 0.6153 72 SOIL 0.2626 0.2257 0.0509 0.0113 1.4393 72 SEASALT 0.0991 0.1433 0.0205 0.0007 1.1273 72

**Cloud Peak** Sulfate mass fraction 0.237 Nitrate mass fraction 0.061 OC mass fraction 0.565 LAC mass fraction 0.038 Soil mass fraction 0.108 Seasalt mass fraction 0.041 Missing mass fraction -0.05

**Cloud Peak Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.04371 0.087529 -0.49933 0.619 ASULFATE 1.2546530.153072 8.1965 0 ANO3 -0.33836 0.417797 -0.80987 0.421

Appendix 1 19DRAFT

OCM 0.9481970.088445 10.7207 0 LAC 1.64021 1.639441 1.000469 0.321 SOIL 1.3754470.2621585.246627 0 SEASALT -0.13754 0.380738 -0.36126 0.719Valid cases: 72 RSquared: 0.981

**Columbia Gorge Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.5675 3.1655 10.0201 0.2828 23.8283 229 RECON 4.9795 3.281 10.7651 0.9962 25.2197 229 ASULFATE 1.0235 0.7496 0.5618 0.004 3.8052 229 ANO3 0.5217 0.4026 0.1621 -0.0037 2.5267 229 OCM 2.3719 2.0951 4.3895 0.4304 18.4016 229 LAC 0.2604 0.1742 0.0303 0.0584 1.6776 229 SOIL 0.3964 1.1013 1.2128 0 15.0192 229 SEASALT 0.4056 0.5742 0.3298 0.0003 4.3635 229

**Columbia Gorge** Sulfate mass fraction 0.224 Nitrate mass fraction 0.114 OC mass fraction 0.519 LAC mass fraction 0.057 Soil mass fraction 0.087 Seasalt mass fraction 0.089 Missing mass fraction -0.09

**Columbia Gorge Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.142864 0.146202 0.97717 0.33 ASULFATE 1.5914270.118209 13.46287 0 ANO3 -0.01689 0.215262 -0.07846 0.938 OCM 0.9109080.052179 17.45738 0 LAC -0.5532 0.623571 -0.88716 0.376 SOIL 1.0572780.061294 17.24918 0 SEASALT 0.9095250.115559 7.870687 0Valid cases: 229 RSquared: 0.910

**Connecticut Hill Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 6.0772 5.1661 26.6886 1.2626 31.2221 92 RECON 6.5926 4.7759 22.8089 1.803 26.3036 92 ASULFATE 2.9848 3.016 9.0961 0.4726 18.4628 92 ANO3 1.0995 1.2639 1.5975 0.0511 6.3784 92 OCM 1.8451 1.3438 1.8058 0.4018 7.3714 92 LAC 0.262 0.1617 0.0262 0.0473 0.7867 92 SOIL 0.2702 0.2741 0.0751 0.0125 1.6617 92 SEASALT 0.131 0.1532 0.0235 0.003 0.8972 92

**Connecticut Hill** Sulfate mass fraction 0.491

Appendix 1 20DRAFT

Nitrate mass fraction 0.181 OC mass fraction 0.304 LAC mass fraction 0.043 Soil mass fraction 0.044 Seasalt mass fraction 0.022 Missing mass fraction -0.085

**Connecticut Hill Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.65412 0.136942 -4.77659 0 ASULFATE 1.193452 0.03653832.66331 0 ANO3 0.740541 0.065272 11.34555 0 OCM 0.9840180.086864 11.32831 0 LAC 0.3538790.8603270.411331 0.682 SOIL 1.5432390.3209984.807623 0 SEASALT 0.2254680.4914780.458755 0.648Valid cases: 92 RSquared: 0.986

**Columbia River Gorge Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 5.0294 3.3366 11.1327 0.6614 26.402 499 RECON 5.4636 3.5979 12.9447 0.6316 25.5758 499 ASULFATE 1.1771 0.8641 0.7466 0.0928 6.0709 499 ANO3 0.6841 1.118 1.25 -0.0155 10.6219 499 OCM 2.4425 1.9178 3.6781 0.1948 15.4314 499 LAC 0.3554 0.2495 0.0623 0.0215 1.409 499 SOIL 0.5858 0.877 0.7691 0.0258 16.8128 499 SEASALT 0.2187 0.3629 0.1317 0.0003 3.3519 499

**Columbia River Gorge** Sulfate mass fraction 0.234 Nitrate mass fraction 0.136 OC mass fraction 0.486 LAC mass fraction 0.071 Soil mass fraction 0.116 Seasalt mass fraction 0.043 Missing mass fraction -0.086

**Columbia River Gorge Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.03716 0.078691 -0.4722 0.637 ASULFATE 1.3273880.04950226.81494 0 ANO3 0.599314 0.037392 16.02804 0 OCM 0.885761 0.03269 27.09561 0 LAC 0.161164 0.2423230.665077 0.506 SOIL 1.1365970.04287626.50899 0 SEASALT 0.9485370.0999639.488912 0 Valid cases: 499 R-Squared: 0.945

**Crescent Lake**

Appendix 1 21DRAFT

**Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 4.4253 3.4431 11.8547 0.8643 13.3972 52 RECON 4.4314 3.307 10.936 0.9272 13.7116 52 ASULFATE 1.0318 0.7597 0.5771 0.1906 3.3855 52 ANO3 1.2853 2.018 4.0722 0.0541 7.7534 52 OCM 1.4793 1.5944 2.5422 0.2243 9.3859 52 LAC 0.1306 0.1063 0.0113 0.012 0.6244 52 SOIL 0.4407 0.2966 0.088 0.0134 1.1192 52 SEASALT 0.0638 0.0566 0.0032 0.0007 0.2603 52

**Crescent Lake** Sulfate mass fraction 0.233 Nitrate mass fraction 0.29 OC mass fraction 0.334 LAC mass fraction 0.03 Soil mass fraction 0.1 Seasalt mass fraction 0.014 Missing mass fraction -0.001

**Crescent Lake Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.15038 0.222034 -0.67726 0.502 ASULFATE 0.804392 0.2444933.290044 0.002 ANO3 1.094424 0.092352 11.85054 0 OCM 1.132822 0.170752 6.634329 0 LAC -0.0595 2.636207 -0.02257 0.982 SOIL 1.397878 0.34242 4.082349 0 SEASALT 0.864096 1.746494 0.49476 0.623Valid cases: 52 RSquared: 0.968

Crater Lake National Park **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 2.7057 2.6502 7.0233 0.0313 30.6278 683 RECON 2.6629 2.61 6.8119 0.2164 33.2459 683 ASULFATE 0.4421 0.3393 0.1151 0.0047 2.0694 683 ANO3 0.1184 0.1836 0.0337 -0.0405 2.822 683 OCM 1.4345 1.9774 3.9101 -0.0547 29.8436 683 LAC 0.1931 0.1925 0.0371 -0.0096 2.175 683 SOIL 0.408 0.7052 0.4973 0.0008 14.4446 683 SEASALT 0.0668 0.1023 0.0105 0.0003 1.072 683

Crater Lake National Park Sulfate mass fraction 0.163 Nitrate mass fraction 0.044 OC mass fraction 0.53 LAC mass fraction 0.071 Soil mass fraction 0.151 Seasalt mass fraction 0.025 Missing mass fraction 0.016

Appendix 1 22DRAFT

Crater Lake National Park **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.02014 0.049639 -0.40571 0.685 ASULFATE 1.684951 0.096436 17.47226 0 ANO3 0.208914 0.156509 1.334836 0.182 OCM 0.934796 0.01636557.12325 0 LAC 0.478301 0.158812 3.011734 0.003 SOIL 1.101526 0.04017727.41681 0 SEASALT 1.0985180.2496274.400637 0Valid cases: 683 RSquared: 0.938

Craters of the Moon National Monument **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 3.2445 2.9753 8.8526 0.0307 19.2304 120 RECON 3.3914 2.8018 7.8501 0.5577 18.883 120 ASULFATE 0.5502 0.3286 0.1079 0.0003 1.7207 120 ANO3 0.3414 0.4656 0.2167 0.0231 2.5835 120 OCM 1.612 2.1212 4.4995 0.0916 15.6476 120 LAC 0.1237 0.1321 0.0174 0 0.9027 120 SOIL 0.6866 0.8491 0.721 0 4.7228 120 SEASALT 0.0775 0.0862 0.0074 0.0005 0.4929 120

Craters of the Moon National Monument Sulfate mass fraction 0.17 Nitrate mass fraction 0.105 OC mass fraction 0.497 LAC mass fraction 0.038 Soil mass fraction 0.212 Seasalt mass fraction 0.024 Missing mass fraction -0.045

Craters of the Moon National Monument **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.17339 0.07326 -2.36673 0.02 ASULFATE 1.3959 0.1402939.949879 0 ANO3 0.6966750.079547 8.75802 0 OCM 1.2056830.04790225.16969 0 LAC -2.92338 0.770366 -3.79479 0 SOIL 1.211066 0.05292822.88122 0 SEASALT -0.01886 0.391885 -0.04812 0.962 Valid cases: 120 R-Squared: 0.986

**Denali National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 1.7447 1.6641 2.7691 -0.6975 24.6683 870 RECON 1.6436 1.5072 2.2715 0.0586 22.2436 870 ASULFATE 0.5283 0.4329 0.1874 0.0267 2.7295 870 ANO3 0.0672 0.0766 0.0059 -0.0215 0.7694 870 OCM 0.6759 1.1834 1.4005 -0.0902 19.255 870

Appendix 1 23DRAFT

LAC 0.08 0.0767 0.0059 -0.0482 0.796 870 SOIL 0.1901 0.2579 0.0665 0.003 3.2478 870 SEASALT 0.1022 0.2288 0.0524 0.0002 3.7108 870

**Denali National Park** Sulfate mass fraction 0.303 Nitrate mass fraction 0.038 OC mass fraction 0.387 LAC mass fraction 0.046 Soil mass fraction 0.109 Seasalt mass fraction 0.059 Missing mass fraction 0.058

**Denali National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.023551 0.0345950.680765 0.496 ASULFATE 1.38806 0.06281222.09855 0 ANO3 0.2272150.357356 0.635823 0.525 OCM 1.0517450.021788 48.2715 0 LAC -0.20621 0.371317 -0.55535 0.579 SOIL 0.8540570.082481 10.35454 0 SEASALT 1.1343890.098095 11.56424 0 Valid cases: 870 R-Squared: 0.878

**Death Valley Monument Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.7983 4.4485 19.7894 0.3293 32.0913 140 RECON 3.5235 3.811 14.5237 0.4789 28.1272 140 ASULFATE 0.7972 0.5769 0.3329 0.0743 2.5912 140 ANO3 0.2034 0.2044 0.0418 0.0231 1.4177 140 OCM 0.7341 0.6095 0.3714 -0.0563 3.2056 140 LAC 0.0793 0.0626 0.0039 0 0.3055 140 SOIL 1.6181 3.1105 9.6752 0.0561 22.4362 140 SEASALT 0.0914 0.1005 0.0101 0.0015 0.6876 140

**Death Valley Monument** Sulfate mass fraction 0.21 Nitrate mass fraction 0.054 OC mass fraction 0.193 LAC mass fraction 0.021 Soil mass fraction 0.426 Seasalt mass fraction 0.024 Missing mass fraction 0.072

**Death Valley Monument Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.1118 0.104358 -1.07126 0.286 ASULFATE 1.0837780.160551 6.750344 0 ANO3 0.77015 0.3068472.509888 0.013 OCM 0.8413970.156851 5.364299 0 LAC 2.262968 1.526468 1.482486 0.141

Appendix 1 24DRAFT

SOIL 1.207622 0.022986 52.5366 0 SEASALT 1.512772 0.5658262.673565 0.008 Valid cases: 140 R-Squared: 0.982

**Dome Lands Wilderness Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.6684 3.0889 9.541 0.3942 20.7383 133 RECON 4.0052 2.7871 7.7677 0.6986 15.7475 133 ASULFATE 0.8887 0.6861 0.4707 0.0795 3.2467 133 ANO3 0.6461 0.8609 0.7411 0.0046 5.4274 133 OCM 1.6674 1.4352 2.0599 0.3235 10.6848 133 LAC 0.1798 0.1151 0.0133 0.0248 0.7247 133 SOIL 0.5068 0.802 0.6432 0.0047 7.2949 133 SEASALT 0.1165 0.1689 0.0285 0.0002 1.1491 133

**Dome Lands Wilderness** Sulfate mass fraction 0.242 Nitrate mass fraction 0.176 OC mass fraction 0.455 LAC mass fraction 0.049 Soil mass fraction 0.138 Seasalt mass fraction 0.032 Missing mass fraction -0.092

**Dome Lands Wilderness Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.39656 0.09408 -4.21518 0 ASULFATE 1.064191 0.102733 10.3588 0 ANO3 0.71308 0.056642 12.58914 0 OCM 0.889121 0.07384 12.0412 0 LAC 1.656986 1.006249 1.646696 0.102 SOIL 1.754184 0.06619526.50039 0 SEASALT -0.09336 0.271761 -0.34355 0.732 Valid cases: 133 R-Squared: 0.972

Dolly Sods /Otter Creek Wilderness **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 10.2778 7.2362 52.3624 0.0589 46.7751 462 RECON 10.246 6.4369 41.4333 0.5045 38.8923 462 ASULFATE 5.7798 5.0536 25.539 0.0278 33.5759 462 ANO3 0.6317 0.7114 0.5061 0.0075 5.6775 462 OCM 3.0423 1.9639 3.8569 0.315 18.7421 462 LAC 0.3737 0.2029 0.0412 0.0272 1.7947 462 SOIL 0.3749 0.4435 0.1967 0.0102 6.3834 462 SEASALT 0.0436 0.0808 0.0065 0.0002 1.1612 462

Dolly Sods /Otter Creek Wilderness Sulfate mass fraction 0.562 Nitrate mass fraction 0.061 OC mass fraction 0.296

Appendix 1 25DRAFT

LAC mass fraction 0.036 Soil mass fraction 0.036 Seasalt mass fraction 0.004 Missing mass fraction 0.003

Dolly Sods /Otter Creek Wilderness **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.15981 0.163445 -0.97777 0.329 ASULFATE 1.162311 0.01672669.49263 0 ANO3 0.1622650.114832 1.413059 0.158 OCM 0.878305 0.0573 15.32832 0 LAC 1.6488970.5604932.941872 0.003 SOIL 0.9983490.172391 5.791186 0 SEASALT -1.03793 0.879794 -1.17974 0.239 Valid cases: 462 R-Squared: 0.956

**El Dorado Springs Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 7.6884 4.2286 17.8807 2.334 16.6667 33 RECON 8.7736 4.4053 19.407 2.5899 18.3975 33 ASULFATE 2.3429 1.7774 3.1591 0.5176 7.227 33 ANO3 2.7783 2.5745 6.6281 0.1754 9.0041 33 OCM 2.7068 1.5099 2.2797 1.0917 6.4517 33 LAC 0.3277 0.1389 0.0193 0.1389 0.6505 33 SOIL 0.5285 0.2999 0.0899 0.1712 1.3319 33 SEASALT 0.0893 0.0686 0.0047 0.0032 0.3255 33

**El Dorado Springs** Sulfate mass fraction 0.305 Nitrate mass fraction 0.361 OC mass fraction 0.352 LAC mass fraction 0.043 Soil mass fraction 0.069 Seasalt mass fraction 0.012 Missing mass fraction -0.141

**El Dorado Springs Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.74063 0.411316 -1.80065 0.083 ASULFATE 1.005854 0.084903 11.84705 0 ANO3 0.9714150.064537 15.05202 0 OCM 0.6076890.163361 3.719909 0.001 LAC 1.922293 1.824116 1.053822 0.302 SOIL 1.757382 0.52521 3.346058 0.003 SEASALT 1.9015772.1917730.867598 0.394Valid cases: 33 RSquared: 0.978

**Ellis Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 6.044 4.4537 19.8358 0.9629 19.4444 45

Appendix 1 26DRAFT

RECON 6.3956 4.1743 17.425 1.3201 18.3737 45 ASULFATE 2.0382 1.5608 2.4361 0.2514 8.1572 45 ANO3 1.6811 2.6662 7.1086 0.085 11.7682 45 OCM 1.7366 1.0996 1.2092 0.1058 5.4148 45 LAC 0.1959 0.0983 0.0097 0.0186 0.4142 45 SOIL 0.6056 0.7107 0.5051 0.0547 3.7417 45 SEASALT 0.1381 0.3041 0.0925 0.0012 2.0554 45

**Ellis** Sulfate mass fraction 0.337 Nitrate mass fraction 0.278 OC mass fraction 0.287 LAC mass fraction 0.032 Soil mass fraction 0.1 Seasalt mass fraction 0.023 Missing mass fraction -0.058

**Ellis Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.68459 0.218186 -3.13764 0.003 ASULFATE 0.868511 0.0870439.977946 0 ANO3 1.1508190.04426825.99682 0 OCM 1.1833080.1308039.046478 0 LAC -0.39437 1.798457 -0.21928 0.828 SOIL 1.852584 0.174665 10.6065 0 SEASALT -0.54992 0.377458 -1.45689 0.153Valid cases: 45 RSquared: 0.984

**Everglades National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 6.9867 4.0752 16.6075 1.9176 50.7283 342 RECON 7.9258 15.8563 251.4223 1.6203 292.9054 342 ASULFATE 2.6662 1.7458 3.0479 0.3848 11.0678 342 ANO3 0.5254 0.262 0.0686 0.029 2.0116 342 OCM 2.8282 15.3837 236.657 0.3143 284.2187 342 LAC 0.2808 0.4964 0.2465 -0.0167 6.643 342 SOIL 0.8887 1.7057 2.9095 0.031 17.1736 342 SEASALT 0.7366 0.7253 0.5261 0.005 3.7081 342

**Everglades National Park** Sulfate mass fraction 0.382 Nitrate mass fraction 0.075 OC mass fraction 0.405 LAC mass fraction 0.04 Soil mass fraction 0.127 Seasalt mass fraction 0.105 Missing mass fraction -0.134

**Everglades National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 1.502143 0.17241 8.712615 0

Appendix 1 27DRAFT

ASULFATE 0.93201 0.04179622.29904 0 ANO3 0.3931370.290802 1.351906 0.177 OCM 0.07537 0.006772 11.12996 0 LAC 4.1753590.221613 18.84079 0 SOIL 1.179427 0.039 30.24181 0 SEASALT 0.487894 0.091554 5.32905 0 Valid cases: 342 R-Squared: 0.915

**Flathead Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.639 6.9174 47.8498 -0.0558 35.3359 74 RECON 5.2456 7.5977 57.7247 0.2797 38.4214 74 ASULFATE 0.4882 0.3546 0.1258 0.0514 1.7653 74 ANO3 0.2144 0.2157 0.0465 0.0115 1.2744 74 OCM 3.9059 6.8454 46.8597 -0.0157 34.565 74 LAC 0.2256 0.3163 0.1 0 1.7974 74 SOIL 0.3037 0.353 0.1246 0.0027 1.8297 74 SEASALT 0.1078 0.1998 0.0399 0.0028 1.3743 74

**Flathead** Sulfate mass fraction 0.105 Nitrate mass fraction 0.046 OC mass fraction 0.842 LAC mass fraction 0.049 Soil mass fraction 0.065 Seasalt mass fraction 0.023 Missing mass fraction -0.131

**Flathead Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.02487 0.091386 -0.27215 0.786 ASULFATE 1.33012 0.2097686.340905 0 ANO3 0.1157130.232631 0.49741 0.621 OCM 0.966856 0.01518763.66327 0 LAC -0.81601 0.326123 -2.50216 0.015 SOIL 1.233433 0.18871 6.536129 0 SEASALT 0.2113850.2299880.919115 0.361Valid cases: 74 RSquared: 0.997

**Fort Peck Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.5717 2.7559 7.5947 1.0522 12.4254 63 RECON 3.9085 2.6973 7.2757 1.1583 12.8652 63 ASULFATE 0.9734 0.6454 0.4166 0.2351 3.5202 63 ANO3 0.4308 0.4979 0.2479 -0.0188 1.9243 63 OCM 1.7781 1.937 3.7518 0.3496 9.0974 63 LAC 0.1344 0.1272 0.0162 0.025 0.6104 63 SOIL 0.4898 0.4598 0.2114 0.0847 2.0611 63 SEASALT 0.102 0.0984 0.0097 0.0003 0.5783 63

Appendix 1 28DRAFT

**Fort Peck** Sulfate mass fraction 0.273 Nitrate mass fraction 0.121 OC mass fraction 0.498 LAC mass fraction 0.038 Soil mass fraction 0.137 Seasalt mass fraction 0.029 Missing mass fraction -0.094

**Fort Peck Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.21513 0.144951 -1.48412 0.143 ASULFATE 1.154034 0.127896 9.023195 0 ANO3 0.5601150.141486 3.958804 0 OCM 0.9836430.118274 8.316654 0 LAC -0.29061 1.835932 -0.15829 0.875 SOIL 1.394732 0.201334 6.92744 0 SEASALT 0.2860670.6917270.413554 0.681Valid cases: 63 RSquared: 0.972

Gates of the Mountains **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 1.7418 1.7586 3.0926 0.0305 11.0104 111 RECON 1.9262 1.9139 3.6632 0.144 12.2108 111 ASULFATE 0.4105 0.2662 0.0709 0.0006 1.3925 111 ANO3 0.1618 0.1403 0.0197 0.0009 0.8181 111 OCM 0.9186 1.4288 2.0416 -0.1535 9.8635 111 LAC 0.0724 0.08 0.0064 -0.003 0.4348 111 SOIL 0.2833 0.4313 0.186 0.0034 3.0276 111 SEASALT 0.0795 0.0905 0.0082 0.0013 0.6954 111

Gates of the Mountains Sulfate mass fraction 0.236 Nitrate mass fraction 0.093 OC mass fraction 0.527 LAC mass fraction 0.042 Soil mass fraction 0.163 Seasalt mass fraction 0.046 Missing mass fraction -0.106

Gates of the Mountains **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.049811 0.050232 0.991609 0.324 ASULFATE 1.221834 0.149761 8.158555 0 ANO3 0.113402 0.216722 0.523261 0.602 OCM 0.89667 0.04832 18.5568 0 LAC 0.062662 0.945796 0.066253 0.947 SOIL 1.241074 0.073705 16.83835 0 SEASALT -0.09909 0.293482 -0.33762 0.736

Appendix 1 29DRAFT

Valid cases: 111 R-Squared: 0.979

**Gila Wilderness Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.9701 2.9256 8.5592 0.4662 27.3362 484 RECON 3.9054 3.117 9.7155 0.5034 30.7931 484 ASULFATE 1.153 0.7157 0.5122 0.0868 4.5335 484 ANO3 0.1448 0.1144 0.0131 0.0054 0.7378 484 OCM 1.6352 2.4096 5.8063 0.0056 26.2638 484 LAC 0.175 0.2339 0.0547 0.0016 3.0253 484 SOIL 0.7436 0.797 0.6352 0.0078 6.1044 484 SEASALT 0.0538 0.1022 0.0105 0.0002 1.3224 484

**Gila Wilderness** Sulfate mass fraction 0.29 Nitrate mass fraction 0.036 OC mass fraction 0.412 LAC mass fraction 0.044 Soil mass fraction 0.187 Seasalt mass fraction 0.014 Missing mass fraction 0.016

**Gila Wilderness Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.00962 0.060863 -0.15804 0.874 ASULFATE 1.215344 0.03963330.66489 0 ANO3 1.789674 0.3321085.388829 0 OCM 0.8568650.04028821.26826 0 LAC 0.596826 0.416284 1.433701 0.152 SOIL 1.087022 0.04591723.67349 0 SEASALT 0.1015180.2814630.360681 0.718 Valid cases: 484 R-Squared: 0.958

**Glacier National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 5.565 4.185 17.5141 0.463 51.1405 915 RECON 5.7241 4.365 19.0533 0.4424 63.1302 915 ASULFATE 0.9173 0.5932 0.3519 0.0655 3.8407 915 ANO3 0.3179 0.4389 0.1926 -0.0057 4.2499 915 OCM 3.4478 3.3462 11.1973 0.2065 54.6601 915 LAC 0.3984 0.2979 0.0888 0.0032 2.7822 915 SOIL 0.5914 0.8956 0.8021 0.0108 14.8048 915 SEASALT 0.0513 0.094 0.0088 0.0002 1.2671 915

**Glacier National Park** Sulfate mass fraction 0.165 Nitrate mass fraction 0.057 OC mass fraction 0.62 LAC mass fraction 0.072 Soil mass fraction 0.106

Appendix 1 30DRAFT

Seasalt mass fraction 0.009 Missing mass fraction -0.029

**Glacier National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.02118 0.058804 -0.3602 0.719 ASULFATE 1.156531 0.05016 23.05689 0 ANO3 0.933968 0.0742 12.58723 0 OCM 0.8774650.01478559.34755 +DEN LAC 1.431444 0.1610268.889547 0 SOIL 1.173062 0.03148837.25425 0 SEASALT -1.1885 0.29928 -3.97121 0Valid cases: 915 RSquared: 0.965

**Great Basin National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.8313 2.0603 4.245 0.031 19.1051 644 RECON 2.8217 1.754 3.0767 0.4069 16.0765 644 ASULFATE 0.6175 0.4303 0.1852 0.0669 2.2641 644 ANO3 0.1598 0.1718 0.0295 -0.0266 1.5854 644 OCM 1.2254 1.006 1.0121 0.0907 11.3472 644 LAC 0.1539 0.1324 0.0175 -0.0158 1.1994 644 SOIL 0.6148 0.8368 0.7002 0.004 10.3488 644 SEASALT 0.0503 0.0958 0.0092 0.0002 1.1706 644

**Great Basin National Park** Sulfate mass fraction 0.218 Nitrate mass fraction 0.056 OC mass fraction 0.433 LAC mass fraction 0.054 Soil mass fraction 0.217 Seasalt mass fraction 0.018 Missing mass fraction 0.003

**Great Basin National Park** CONSTANT -0.18084 0.054889 -3.29463 0.001 ASULFATE 1.454571 0.06913521.03947 0 ANO3 0.5834670.171512 3.401896 0.001 OCM 0.943152 0.03556626.51838 0 LAC 0.137452 0.2669780.514843 0.607 SOIL 1.345474 0.03479538.66835 0 SEASALT 0.331886 0.278203 1.192962 0.233Valid cases: 644 RSquared: 0.901

Hance Camp at Grand Canyon National Park **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 2.8928 2.5088 6.294 -0.1229 20.2842 246 RECON 2.9893 2.7237 7.4184 0.2937 27.1379 246 ASULFATE 0.7102 0.4506 0.203 0.0519 2.4601 246 ANO3 0.1853 0.1711 0.0293 -0.0146 1.0169 246

Appendix 1 31DRAFT

OCM 1.2808 2.0202 4.0814 -0.0506 24.6078 246 LAC 0.1091 0.1327 0.0176 0 1.4106 246 SOIL 0.6429 0.8457 0.7153 0.0112 7.5094 246 SEASALT 0.061 0.1119 0.0125 0.0002 1.5476 246

Hance Camp at Grand Canyon National Park Sulfate mass fraction 0.245 Nitrate mass fraction 0.064 OC mass fraction 0.443 LAC mass fraction 0.038 Soil mass fraction 0.222 Seasalt mass fraction 0.021 Missing mass fraction -0.033

Hance Camp at Grand Canyon National Park **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.07999 0.088739 -0.90144 0.368 ASULFATE 1.287632 0.125027 10.29882 0 ANO3 0.4096370.283657 1.444127 0.15 OCM 0.4880480.053216 9.171064 0 LAC 4.6603930.8220875.668975 0 SOIL 1.2733280.065711 19.37782 0 SEASALT 0.4935680.393364 1.254736 0.211 Valid cases: 246 R-Squared: 0.927

**Great Gulf Wilderness Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.9243 4.4472 19.7773 0.1235 27.8765 254 RECON 4.7373 3.6497 13.32 0.2358 23.1865 254 ASULFATE 2.012 2.0366 4.1478 0.001 12.6328 254 ANO3 0.2116 0.273 0.0745 -0.0017 2.172 254 OCM 2.0284 1.8667 3.4845 0.1026 13.4125 254 LAC 0.2049 0.1362 0.0185 0 0.7872 254 SOIL 0.2036 0.2386 0.0569 0.0035 1.9112 254 SEASALT 0.0768 0.0884 0.0078 0.0003 0.4417 254

**Great Gulf Wilderness** Sulfate mass fraction 0.409 Nitrate mass fraction 0.043 OC mass fraction 0.412 LAC mass fraction 0.042 Soil mass fraction 0.041 Seasalt mass fraction 0.016 Missing mass fraction 0.038

**Great Gulf Wilderness Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.43233 0.142963 -3.02403 0.003 ASULFATE 1.1872730.04649825.53408 0 ANO3 -0.07905 0.251663 -0.31409 0.754 OCM 1.0159280.052973 19.17835 0

Appendix 1 32DRAFT

LAC 3.4394090.8626393.987078 0 SOIL 1.36471 0.312699 4.3643 0 SEASALT -0.76519 0.755477 -1.01285 0.312 Valid cases: 254 R-Squared: 0.947

**Great River Bluffs Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 7.6622 5.3324 28.4344 2.0801 22.0872 62 RECON 8.3856 5.5332 30.6164 2.2447 23.4772 62 ASULFATE 2.3541 1.809 3.2724 0.3546 8.2477 62 ANO3 3.3073 3.6051 12.9967 0.1222 15.0529 62 OCM 1.8968 1.0077 1.0154 0.5283 5.3644 62 LAC 0.2645 0.1305 0.017 0.0379 0.6084 62 SOIL 0.3985 0.2965 0.0879 0.0457 1.873 62 SEASALT 0.1642 0.2066 0.0427 0.007 1.2701 62

**Great River Bluffs** Sulfate mass fraction 0.307 Nitrate mass fraction 0.432 OC mass fraction 0.248 LAC mass fraction 0.035 Soil mass fraction 0.052 Seasalt mass fraction 0.021 Missing mass fraction -0.094

**Great River Bluffs Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.42119 0.226482 -1.85972 0.068 ASULFATE 1.1403930.067535 16.88591 0 ANO3 0.8757180.03665723.88962 0 OCM 0.093787 0.22383 0.419008 0.677 LAC 5.137514 1.6311473.149634 0.003 SOIL 1.900566 0.4335884.383345 0 SEASALT 1.2668130.4605132.750874 0.008Valid cases: 62 RSquared: 0.983

Great Sand Dunes National Monument **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 3.4861 2.3816 5.6718 0.032 29.5 783 RECON 3.3326 2.0317 4.1279 0.7784 28.3587 783 ASULFATE 0.8297 0.4824 0.2328 0.1159 3.5642 783 ANO3 0.1608 0.1652 0.0273 -0.0427 2.5016 783 OCM 1.1927 0.9255 0.8566 -0.1381 19.6915 783 LAC 0.1121 0.0726 0.0053 -0.0234 0.8088 783 SOIL 0.9938 1.3509 1.8248 0.0375 18.9959 783 SEASALT 0.0435 0.0765 0.0058 0.0002 1.3873 783

Great Sand Dunes National Monument Sulfate mass fraction 0.238 Nitrate mass fraction 0.046

Appendix 1 33DRAFT

OC mass fraction 0.342 LAC mass fraction 0.032 Soil mass fraction 0.285 Seasalt mass fraction 0.012 Missing mass fraction 0.044

Great Sand Dunes National Monument **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.13479 0.06421 -2.09912 0.036 ASULFATE 1.34001 0.05956722.49566 0 ANO3 0.4085 0.1855972.201004 0.028 OCM 1.097791 0.04078526.91631 0 LAC -0.15481 0.498447 -0.31059 0.756 SOIL 1.1585450.02083755.60156 0 SEASALT 0.000091 0.350063 0.00026 1 Valid cases: 783 R-Squared: 0.902

**Great Smoky Mountains National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 12.3525 8.0746 65.1995 0.4748 45.109 669 RECON 11.7269 6.9243 47.9458 0.6578 39.7646 669 ASULFATE 6.631 5.0142 25.1423 0.149 26.7189 669 ANO3 0.4711 0.4963 0.2463 0.0462 5.9842 669 OCM 3.5677 2.1591 4.6619 0.275 17.6301 669 LAC 0.4417 0.2341 0.0548 0.02 1.8311 669 SOIL 0.5559 1.0633 1.1305 0.0101 19.1154 669 SEASALT 0.0596 0.1121 0.0126 0.0002 1.6402 669

**Great Smoky Mountains National Park** Sulfate mass fraction 0.537 Nitrate mass fraction 0.038 OC mass fraction 0.289 LAC mass fraction 0.036 Soil mass fraction 0.045 Seasalt mass fraction 0.005 Missing mass fraction 0.051

**Great Smoky Mountains National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.23103 0.147756 -1.56357 0.118 ASULFATE 1.225842 0.015707 78.04398 0 ANO3 0.3487530.1328262.625649 0.009 OCM 0.9476770.04660420.33467 0 LAC 0.8154350.3827942.130216 0.034 SOIL 1.021134 0.05804 17.59374 0 SEASALT -0.30441 0.539365 -0.56439 0.573Valid cases: 669 RSquared: 0.964

**Guadalupe Mountains National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid** 

Appendix 1 34DRAFT

FM 5.7756 3.9198 15.3649 0.1673 57.3403 774 RECON 5.3318 3.7619 14.1519 0.1312 52.9482 774 ASULFATE 1.7231 1.1223 1.2595 0.0204 7.7759 774 ANO3 0.2592 0.2314 0.0536 -0.0458 2.5328 774 OCM 1.3383 0.8593 0.7383 -0.2387 11.4055 774 LAC 0.138 0.083 0.0069 -0.0378 0.6451 774 SOIL 1.8165 3.1233 9.7551 0.0365 47.28 774 SEASALT 0.0568 0.0722 0.0052 0.0002 0.4374 774

**Guadalupe Mountains National Park** Sulfate mass fraction 0.298 Nitrate mass fraction 0.045 OC mass fraction 0.232 LAC mass fraction 0.024 Soil mass fraction 0.315 Seasalt mass fraction 0.01 Missing mass fraction 0.077

**Guadalupe Mountains National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.4267380.0880644.845792 0 ASULFATE 1.1357430.03529532.17895 0 ANO3 0.182672 0.156381 1.168123 0.243 OCM 0.9198290.056374 16.31659 0 LAC 1.1411 0.5493122.077328 0.038 SOIL 1.015542 0.012881 78.84277 0 SEASALT 1.9609630.5097583.846848 0 Valid cases: 774 R-Squared: 0.939

**Haleakala National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.2796 1.1506 1.3239 0.3655 6.7524 227 RECON 2.2257 1.1445 1.3099 0.3692 7.5976 227 ASULFATE 0.7747 0.459 0.2107 0.0468 2.8723 227 ANO3 0.2586 0.172 0.0296 -0.0204 0.8625 227 OCM 0.5739 0.5348 0.286 -0.0985 4.4174 227 LAC 0.0704 0.0615 0.0038 -0.0147 0.3242 227 SOIL 0.2236 0.2548 0.0649 0.0057 1.9153 227 SEASALT 0.3245 0.2783 0.0774 0.0018 1.7282 227

**Haleakala National Park** Sulfate mass fraction 0.34 Nitrate mass fraction 0.113 OC mass fraction 0.252 LAC mass fraction 0.031 Soil mass fraction 0.098 Seasalt mass fraction 0.142 Missing mass fraction 0.024

**Haleakala National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|** 

Appendix 1 35DRAFT

CONSTANT 0.0941670.048588 1.938064 0.054 ASULFATE 0.99611 0.070766 14.07607 0 ANO3 1.597491 0.1923878.303523 0 OCM 0.821521 0.051962 15.81001 0 LAC -0.34503 0.511189 -0.67495 0.5 SOIL 1.1207230.085946 13.03986 0 SEASALT 0.9337180.074832 12.47746 0 Valid cases: 227 R-Squared: 0.930

Hawaii Volcanoes National Park **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 3.1902 3.6676 13.451 0.248 25.8642 545 RECON 2.5489 2.3645 5.5909 0.0766 14.1954 545 ASULFATE 1.5157 2.1047 4.4298 0.0008 12.1611 545 ANO3 0.0933 0.0728 0.0053 -0.0431 0.4838 545 OCM 0.3866 0.3766 0.1418 -0.2902 2.8033 545 LAC 0.0603 0.0723 0.0052 -0.0501 0.6265 545 SOIL 0.1286 0.1871 0.035 0.0006 2.5696 545 SEASALT 0.3644 0.2931 0.0859 0.0008 2.1517 545

Hawaii Volcanoes National Park Sulfate mass fraction 0.475 Nitrate mass fraction 0.029 OC mass fraction 0.121 LAC mass fraction 0.019 Soil mass fraction 0.04 Seasalt mass fraction 0.114 Missing mass fraction 0.201

Hawaii Volcanoes National Park **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.22558 0.0972422.319774 0.021 ASULFATE 1.606402 0.02867556.02102 0 ANO3 1.4139230.764124 1.850383 0.065 OCM 0.2373550.133396 1.779331 0.076 LAC 0.640016 0.8258580.774971 0.439 SOIL 1.1505880.272587 4.221 0 SEASALT 0.3281150.173647 1.889544 0.059 Valid cases: 545 R-Squared: 0.914

**Hells Canyon Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.1237 2.676 7.1611 0.1854 14.3056 125 RECON 3.4332 2.7155 7.374 0.5264 16.4732 125 ASULFATE 0.5586 0.3252 0.1058 0.0519 1.5013 125 ANO3 0.28 0.6255 0.3913 -0.0364 6.3957 125 OCM 1.7451 1.9952 3.9809 0.139 14.5688 125 LAC 0.1483 0.1192 0.0142 0.0063 0.7223 125 SOIL 0.6193 1.0439 1.0898 0.0076 8.8542 125

Appendix 1 36DRAFT

SEASALT 0.0818 0.1133 0.0128 0.0023 0.8227

**Hells Canyon** Sulfate mass fraction 0.179 Nitrate mass fraction 0.09 OC mass fraction 0.559 LAC mass fraction 0.047 Soil mass fraction 0.198 Seasalt mass fraction 0.026 Missing mass fraction -0.099

**Hells Canyon Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.13512 0.088226 -1.53147 0.128 ASULFATE 1.0059870.138548 7.260914 0 ANO3 0.6868830.064764 10.60587 0 OCM 0.8429830.04170620.21242 0 LAC 1.635589 0.7125 2.295562 0.023 SOIL 1.2893390.04062331.73886 0 SEASALT -0.09425 0.332815 -0.28319 0.778Valid cases: 125 RSquared: 0.978

**Hercules-Glade Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 7.0664 4.5107 20.3468 2.1552 17.8197 35 RECON 7.673 4.5343 20.5597 2.1454 19.7665 35 ASULFATE 2.8403 2.5855 6.685 0.3385 12.5775 35 ANO3 1.181 1.4314 2.0489 0.1058 6.0584 35 OCM 2.7302 1.7228 2.968 0.9706 7.2482 35 LAC 0.292 0.1577 0.0249 0.1111 0.8206 35 SOIL 0.5284 0.5805 0.337 0.0235 3.3544 35 SEASALT 0.1012 0.0931 0.0087 0.0017 0.3929 35

**Hercules-Glade** Sulfate mass fraction 0.402 Nitrate mass fraction 0.167 OC mass fraction 0.386 LAC mass fraction 0.041 Soil mass fraction 0.075 Seasalt mass fraction 0.014 Missing mass fraction -0.086

**Hercules-Glade Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.34287 0.208297 -1.64608 0.111 ASULFATE 0.94734 0.03558926.61905 0 ANO3 0.7485030.056956 13.14179 0 OCM 0.88694 0.081517 10.88046 0 LAC 1.364316 0.953108 1.431438 0.163 SOIL 2.0328790.146419 13.88401 0 SEASALT -0.58724 0.843176 -0.69646 0.49

Appendix 1 37DRAFT

Valid cases: 35 RSquared: 0.992

**Hillside Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.3309 4.0168 16.1344 0.384 28.7309 121 RECON 3.8877 3.1818 10.1239 0.5934 25.0409 121 ASULFATE 1.0227 0.7079 0.5012 0.1372 3.8893 121 ANO3 0.3196 0.2768 0.0766 0.0277 1.5256 121 OCM 1.0677 1.2246 1.4997 -0.1085 11.7076 121 LAC 0.0985 0.0726 0.0053 0 0.5983 121 SOIL 1.2833 1.5631 2.4434 0.0397 9.932 121 SEASALT 0.0959 0.097 0.0094 0.0017 0.4575 121

**Hillside** Sulfate mass fraction 0.236 Nitrate mass fraction 0.074 OC mass fraction 0.247 LAC mass fraction 0.023 Soil mass fraction 0.296 Seasalt mass fraction 0.022 Missing mass fraction 0.102

**Hillside Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.37668 0.133731 -2.81669 0.006 ASULFATE 1.364285 0.09528 14.31875 0 ANO3 0.495062 0.258961 1.911727 0.058 OCM 1.131202 0.1329588.507977 0 LAC 0.003115 1.713456 0.001818 0.999 SOIL 1.42324 0.06804820.91537 0 SEASALT 1.2467290.655493 1.901972 0.06 Valid cases: 121 R-Squared: 0.977

**Hoover Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.6349 6.0032 36.039 0.3086 45.7595 96 RECON 3.6174 6.913 47.7895 0.3062 60.0337 96 ASULFATE 0.483 0.3575 0.1278 0.0627 1.3522 96 ANO3 0.1647 0.2663 0.0709 0.0074 2.5297 96 OCM 1.7082 5.2095 27.1387 -0.0171 49.5869 96 LAC 0.1563 0.574 0.3295 0.0031 5.6504 96 SOIL 1.0104 2.6729 7.1442 0.0054 24.9512 96 SEASALT 0.0948 0.1354 0.0183 0.0013 1.1499 96

**Hoover** Sulfate mass fraction 0.133 Nitrate mass fraction 0.045 OC mass fraction 0.47 LAC mass fraction 0.043 Soil mass fraction 0.278

Appendix 1 38DRAFT

Seasalt mass fraction 0.026 Missing mass fraction 0.005

**Hoover Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.03126 0.088624 -0.35269 0.725 ASULFATE 1.7862550.1800539.920699 0 ANO3 -0.92305 0.590722 -1.56257 0.122 OCM 1.0859970.05357720.26992 0 LAC -3.73637 0.568374 -6.57378 0 SOIL 1.5705790.03394646.26761 0 SEASALT 1.026713 0.69711 1.472812 0.144Valid cases: 96 RSquared: 0.994

**Ike's Backbone Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.7792 5.1597 26.6222 0.8188 44.7438 124 RECON 4.3398 3.3956 11.5302 1.0065 24.4583 124 ASULFATE 1.015 0.5847 0.3419 0.1736 3.3487 124 ANO3 0.2923 0.2273 0.0516 0.0372 1.5167 124 OCM 1.3101 1.4261 2.0337 0.2192 14.148 124 LAC 0.1334 0.089 0.0079 0.0031 0.654 124 SOIL 1.5037 2.1057 4.4338 0.067 17.0965 124 SEASALT 0.0853 0.1403 0.0197 0.0003 1.3464 124

**Ike's Backbone** Sulfate mass fraction 0.212 Nitrate mass fraction 0.061 OC mass fraction 0.274 LAC mass fraction 0.028 Soil mass fraction 0.315 Seasalt mass fraction 0.018 Missing mass fraction 0.092

**Ike's Backbone Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.76859 0.277002 -2.77467 0.006 ASULFATE 1.0762730.2115575.087379 0 ANO3 0.572832 0.701981 0.816022 0.416 OCM 0.857881 0.1379146.220405 0 LAC 1.63413 1.8687250.874463 0.384 SOIL 1.9473050.06267831.06834 0 SEASALT 0.2088730.760604 0.274615 0.784Valid cases: 124 RSquared: 0.954

**Indian Gardens Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.3892 2.8921 8.3645 0.4546 27.9791 608 RECON 4.2737 2.9122 8.4806 0.0486 36.7862 608 ASULFATE 1.0653 0.667 0.4449 0.0019 5.598 608

Appendix 1 39DRAFT

ANO3 0.2083 0.1856 0.0344 -0.0201 2.1073 608 OCM 1.6355 1.9666 3.8674 -0.0995 31.6867 608 LAC 0.1749 0.1332 0.0177 -0.0132 1.6799 608 SOIL 1.1361 1.1355 1.2893 0.0048 9.4677 608 SEASALT 0.0536 0.0726 0.0053 0.0002 0.4099 608

**Indian Gardens** Sulfate mass fraction 0.243 Nitrate mass fraction 0.047 OC mass fraction 0.373 LAC mass fraction 0.04 Soil mass fraction 0.259 Seasalt mass fraction 0.012 Missing mass fraction 0.026

**Indian Gardens Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.20347 0.0902742.253917 0.025 ASULFATE 1.119422 0.062778 17.83137 0 ANO3 0.5944380.2365872.512557 0.012 OCM 0.7583290.034791 21.79655 0 LAC 0.9811450.513088 1.912233 0.056 SOIL 1.268732 0.0385 32.95393 0 SEASALT 0.302136 0.5493630.549975 0.583Valid cases: 608 RSquared: 0.894

**Isle Royale National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.1348 2.858 8.1679 0.3356 19.858 162 RECON 3.2443 2.9544 8.7287 0.3308 22.6742 162 ASULFATE 1.216 0.8856 0.7843 0.1064 6.1993 162 ANO3 0.6458 1.5778 2.4893 0.016 13.1936 162 OCM 0.9685 0.9661 0.9333 -0.1548 6.6434 162 LAC 0.1165 0.1073 0.0115 0 0.6173 162 SOIL 0.1648 0.1457 0.0212 0.0129 1.0656 162 SEASALT 0.1328 0.2669 0.0712 0.0012 2.1612 162

**Isle Royale National Park** Sulfate mass fraction 0.388 Nitrate mass fraction 0.206 OC mass fraction 0.309 LAC mass fraction 0.037 Soil mass fraction 0.053 Seasalt mass fraction 0.042 Missing mass fraction -0.035

**Isle Royale National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.03955 0.075842 -0.52142 0.603 ASULFATE 0.9990970.070453 14.18106 0 ANO3 0.81947 0.03618222.64875 0

Appendix 1 40DRAFT

OCM 0.927082 0.092658 10.00537 0 LAC 2.680185 1.1570742.316347 0.022 SOIL 0.9257690.356186 2.59912 0.01 SEASALT 0.5092380.1472353.458667 0.001 Valid cases: 162 R-Squared: 0.971

**Jarbidge Wilderness Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.1213 2.6839 7.2033 0.0309 21.9968 749 RECON 2.9437 2.4477 5.9913 0.1428 19.9624 749 ASULFATE 0.5202 0.3464 0.12 0.0003 2.3472 749 ANO3 0.1352 0.2419 0.0585 -0.0179 5.1784 749 OCM 1.2292 1.3485 1.8184 -0.3019 13.3612 749 LAC 0.0924 0.1042 0.0109 -0.0189 1.0889 749 SOIL 0.9166 1.1355 1.2894 0 11.3332 749 SEASALT 0.0502 0.108 0.0117 0.0002 1.4025 749

**Jarbidge Wilderness** Sulfate mass fraction 0.167 Nitrate mass fraction 0.043 OC mass fraction 0.394 LAC mass fraction 0.03 Soil mass fraction 0.294 Seasalt mass fraction 0.016 Missing mass fraction 0.057

**Jarbidge Wilderness Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.015391 0.048263 0.31889 0.75 ASULFATE 1.225684 0.091422 13.40683 0 ANO3 0.9913380.1141068.687866 0 OCM 0.82675 0.041615 19.86641 0 LAC 1.416221 0.5175742.736268 0.006 SOIL 1.289471 0.02654548.57722 0 SEASALT 0.107596 0.2383890.451348 0.652 Valid cases: 749 R-Squared: 0.933

**James River Face Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 8.1972 4.8474 23.4973 0.5712 23.4337 39 RECON 8.7415 4.2671 18.2078 0.7236 18.8666 39 ASULFATE 3.765 2.6236 6.8835 0.1219 12.9162 39 ANO3 0.8441 0.7272 0.5288 0.0299 3.1709 39 OCM 3.2129 1.8764 3.5209 0.3562 7.4506 39 LAC 0.4616 0.2348 0.0551 0.0845 0.9665 39 SOIL 0.3445 0.1812 0.0329 0.023 0.7216 39 SEASALT 0.1134 0.1722 0.0297 0.0035 0.7629 39

**James River Face** Sulfate mass fraction 0.459

Appendix 1 41DRAFT

Nitrate mass fraction 0.103 OC mass fraction 0.392 LAC mass fraction 0.056 Soil mass fraction 0.042 Seasalt mass fraction 0.014 Missing mass fraction -0.066

**James River Face Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -1.00115 0.454926 -2.20068 0.035 ASULFATE 1.3999450.107612 13.00923 0 ANO3 0.3107790.295879 1.050356 0.301 OCM 0.9678950.153143 6.32019 0 LAC 0.658019 1.306686 0.503579 0.618 SOIL 0.51377 1.605504 0.320005 0.751 SEASALT 0.659334 1.3381130.492735 0.626Valid cases: 39 RSquared: 0.953

**Joshua Tree Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.9118 3.5906 12.8924 0.5089 20.4403 108 RECON 4.3509 3.949 15.5948 0.7979 26.223 108 ASULFATE 0.8071 0.6226 0.3877 0.1084 2.8864 108 ANO3 1.1983 2.0306 4.1234 0.0488 15.1643 108 OCM 1.2123 1.2215 1.4921 0.1231 7.1969 108 LAC 0.1612 0.1091 0.0119 0.0062 0.5818 108 SOIL 0.8534 2.3711 5.622 0.0246 22.668 108 SEASALT 0.1187 0.1393 0.0194 0.0002 1.0184 108

**Joshua Tree** Sulfate mass fraction 0.206 Nitrate mass fraction 0.306 OC mass fraction 0.31 LAC mass fraction 0.041 Soil mass fraction 0.218 Seasalt mass fraction 0.03 Missing mass fraction -0.112

**Joshua Tree Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.28839 0.137928 -2.09086 0.039 ASULFATE 1.4070790.1417359.927543 0 ANO3 0.74019 0.038936 19.01031 0 OCM 0.984804 0.086438 11.39325 0 LAC 1.923153 1.007563 1.908717 0.059 SOIL 0.799714 0.02899627.58013 0 SEASALT -0.07332 0.479211 -0.15301 0.879Valid cases: 108 RSquared: 0.967

**Kaiser**

Appendix 1 42DRAFT

**Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 2.5941 2.8392 8.0612 -0.1235 17.837 137 RECON 2.8546 2.8333 8.0278 0.3421 18.0602 137 ASULFATE 0.5085 0.4366 0.1906 0.0489 1.7504 137 ANO3 0.3272 0.5597 0.3132 -0.0502 4.8201 137 OCM 1.3472 1.7709 3.1359 0.0135 13.9955 137 LAC 0.1273 0.1099 0.0121 0.0091 0.7598 137 SOIL 0.416 0.5447 0.2967 0.0016 4.4508 137 SEASALT 0.1284 0.2436 0.0593 0.0025 1.9048 137

**Kaiser** Sulfate mass fraction 0.196 Nitrate mass fraction 0.126 OC mass fraction 0.519 LAC mass fraction 0.049 Soil mass fraction 0.16 Seasalt mass fraction 0.049 Missing mass fraction -0.1

**Kaiser Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.10026 0.051818 -1.93493 0.055 ASULFATE 1.1084090.086159 12.86473 0 ANO3 1.0306950.060988 16.89986 0 OCM 1.005862 0.03618327.79902 0 LAC -0.39244 0.57186 -0.68625 0.494 SOIL 1.27059 0.064742 19.62529 0 SEASALT -0.31342 0.119581 -2.62098 0.01 Valid cases: 137 R-Squared: 0.987

Kalmiopsis **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 3.3281 3.6133 13.0558 0.3793 36.9048 319 RECON 5.0784 17.4685 305.1475 0.6404 213.324 319 ASULFATE 0.6151 0.4603 0.2119 0.0097 2.3742 319 ANO3 0.1971 0.2906 0.0844 -0.0488 3.2364 319 OCM 3.4877 15.7146 246.9501 0.1897 194.9553 319 LAC 0.2904 1.5613 2.4378 0 22.6124 319 SOIL 0.1982 0.3504 0.1228 0.0018 3.0534 319 SEASALT 0.2899 0.4038 0.163 0.0003 2.4498 319

Kalmiopsis Sulfate mass fraction 0.185 Nitrate mass fraction 0.059 OC mass fraction 1.048 LAC mass fraction 0.087 Soil mass fraction 0.06 Seasalt mass fraction 0.087 Missing mass fraction -0.526

Appendix 1 43DRAFT

Kalmiopsis **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.883846 0.141111 6.26348 0 ASULFATE 2.2503370.2766498.134258 0 ANO3 -0.48202 0.835827 -0.5767 0.565 OCM 0.1945490.020275 9.59576 0 LAC 0.0102780.1296970.079247 0.937 SOIL 1.635936 0.246391 6.63958 0 SEASALT 0.515614 0.1984252.598536 0.01Valid cases: 319 RSquared: 0.850

**Lava Beds Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.9607 3.523 12.4115 0.0589 25.2087 163 RECON 3.1675 3.5212 12.399 0.3036 25.2439 163 ASULFATE 0.5176 0.3646 0.1329 0.0223 1.951 163 ANO3 0.1456 0.1186 0.0141 -0.0222 1.1095 163 OCM 1.7908 2.8443 8.0899 0.0895 22.5054 163 LAC 0.1355 0.128 0.0164 0 0.7737 163 SOIL 0.4882 1.0074 1.0148 0.0015 11.1983 163 SEASALT 0.0899 0.131 0.0171 0.0003 1.245 163

**Lava Beds** Sulfate mass fraction 0.175 Nitrate mass fraction 0.049 OC mass fraction 0.605 LAC mass fraction 0.046 Soil mass fraction 0.165 Seasalt mass fraction 0.03 Missing mass fraction -0.07

**Lava Beds Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.13412 0.070345 -1.90659 0.058 ASULFATE 0.8551970.121967 7.011703 0 ANO3 1.479476 0.400386 3.695127 0 OCM 0.955804 0.02775 34.444 0 LAC -0.29494 0.66239 -0.44526 0.657 SOIL 1.4099090.04716929.89034 0 SEASALT 0.854364 0.267702 3.191475 0.002Valid cases: 163 RSquared: 0.986

**Lake Sugema Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 9.7214 6.4987 42.2335 2.4844 30.1894 62 RECON 9.8028 6.1302 37.5798 2.5901 28.9819 62 ASULFATE 2.4458 1.5433 2.3819 0.5089 6.133 62 ANO3 4.5106 4.3943 19.3096 0.1202 19.3001 62 OCM 1.9964 1.1006 1.2113 0.6248 6.7561 62 LAC 0.2998 0.1615 0.0261 0.0677 0.7872 62

Appendix 1 44DRAFT

SOIL 0.3802 0.1791 0.0321 0.0452 1.1513 62 SEASALT 0.17 0.2043 0.0417 0.0002 1.3584 62

**Lake Sugema** Sulfate mass fraction 0.252 Nitrate mass fraction 0.464 OC mass fraction 0.205 LAC mass fraction 0.031 Soil mass fraction 0.039 Seasalt mass fraction 0.017 Missing mass fraction -0.008

**Lake Sugema Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.29885 0.312387 -0.95666 0.343 ASULFATE 1.192446 0.097814 12.19099 0 ANO3 1.0407130.03747427.77145 0 OCM 0.769609 0.17141 4.48986 0 LAC 0.995539 1.602721 0.621156 0.537 SOIL 1.750612 0.6670292.624491 0.011 SEASALT -0.5351 0.530511 -1.00866 0.318Valid cases: 62 RSquared: 0.985

**Lassen Volcanic National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.8782 2.9487 8.6951 0.1268 50.806 740 RECON 2.9977 3.1328 9.8144 0.1848 56.1967 740 ASULFATE 0.5153 0.4201 0.1765 0.0191 2.8872 740 ANO3 0.1879 0.275 0.0756 -0.0254 2.5039 740 OCM 1.6364 2.3024 5.3009 0.013 43.7413 740 LAC 0.17 0.3301 0.1089 -0.0479 8.1304 740 SOIL 0.4323 0.5613 0.3151 0.0012 10.1484 740 SEASALT 0.056 0.0762 0.0058 0.0002 0.5337 740

**Lassen Volcanic National Park** Sulfate mass fraction 0.179 Nitrate mass fraction 0.065 OC mass fraction 0.569 LAC mass fraction 0.059 Soil mass fraction 0.15 Seasalt mass fraction 0.019 Missing mass fraction -0.042

**Lassen Volcanic National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.0268930.045304 0.593607 0.553 ASULFATE 1.5209450.081844 18.58352 0 ANO3 0.433604 0.1181983.668445 0 OCM 0.782112 0.022286 35.09445 0 LAC 1.41819 0.150173 9.44371 0 SOIL 1.168674 0.05258922.22259 0

Appendix 1 45DRAFT

SEASALT -0.71303 0.336188 -2.12093 0.034Valid cases: 740 RSquared: 0.945

**Linville Gorge Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 5.7822 4.2994 18.4845 0.5687 26.9621 77 RECON 6.2149 3.9314 15.4555 0.3694 23.1478 77 ASULFATE 2.7368 2.8435 8.0853 0.1232 18.7518 77 ANO3 0.4301 0.368 0.1354 0.0184 1.5662 77 OCM 2.3347 1.4342 2.0568 0.124 6.1956 77 LAC 0.2992 0.1662 0.0276 0.0368 0.7439 77 SOIL 0.3182 0.4799 0.2303 0.0016 3.6236 77 SEASALT 0.0959 0.1202 0.0145 0.0013 0.6706 77

**Linville Gorge** Sulfate mass fraction 0.473 Nitrate mass fraction 0.074 OC mass fraction 0.404 LAC mass fraction 0.052 Soil mass fraction 0.055 Seasalt mass fraction 0.017 Missing mass fraction -0.075

**Linville Gorge Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.42153 0.170742 -2.46882 0.016 ASULFATE 1.1546470.029334 39.36218 0 ANO3 0.4015750.209287 1.918777 0.059 OCM 0.926032 0.088642 10.44685 0 LAC 0.77979 0.8080230.965059 0.338 SOIL 1.325114 0.177222 7.477136 0 SEASALT 0.562844 0.7076930.795322 0.429Valid cases: 77 RSquared: 0.980

**Livonia Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 9.9134 5.4299 29.4842 2.0009 37.1934 82 RECON 10.3012 4.6488 21.6115 2.5647 31.3306 82 ASULFATE 4.3923 3.5767 12.7929 0.6154 24.6248 82 ANO3 2.6037 1.8265 3.336 0.1197 7.6576 82 OCM 2.3409 1.0932 1.195 0.5026 7.2995 82 LAC 0.3995 0.1679 0.0282 0.1019 0.8847 82 SOIL 0.4041 0.3753 0.1408 0.0302 3.0268 82 SEASALT 0.1607 0.1668 0.0278 0.0008 0.7028 82

**Livonia** Sulfate mass fraction 0.443 Nitrate mass fraction 0.263 OC mass fraction 0.236 LAC mass fraction 0.04

Appendix 1 46DRAFT

Soil mass fraction 0.041 Seasalt mass fraction 0.016 Missing mass fraction -0.039

**Livonia Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.93389 0.277216 -3.3688 0.001 ASULFATE 1.270321 0.03188539.84084 0 ANO3 0.9239770.054344 17.00244 0 OCM 0.894423 0.11886 7.52503 0 LAC 0.383886 0.901872 0.425655 0.672 SOIL 1.497933 0.2714 5.519279 0 SEASALT 0.059206 0.586996 0.100862 0.92Valid cases: 82 RSquared: 0.978

**Lostwood Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.9258 2.5378 6.4405 0.5631 15.6728 114 RECON 4.1562 2.4497 6.0013 0.507 13.2761 114 ASULFATE 1.1814 0.8125 0.6602 0.1213 4.2141 114 ANO3 0.8488 1.1347 1.2876 0.0432 7.2185 114 OCM 1.2758 1.0646 1.1334 0.1602 6.3679 114 LAC 0.1397 0.1076 0.0116 0.0122 0.7401 114 SOIL 0.5532 0.4977 0.2477 0.0086 2.627 114 SEASALT 0.1573 0.3041 0.0925 0.0007 1.9933 114

**Lostwood** Sulfate mass fraction 0.301 Nitrate mass fraction 0.216 OC mass fraction 0.325 LAC mass fraction 0.036 Soil mass fraction 0.141 Seasalt mass fraction 0.04 Missing mass fraction -0.059

**Lostwood Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.30081 0.096552 -3.11553 0.002 ASULFATE 1.064481 0.072005 14.78351 0 ANO3 1.1214930.05216921.49723 0 OCM 0.855766 0.099131 8.632712 0 LAC 0.80061 0.971624 0.823992 0.412 SOIL 1.3023030.099331 13.11079 0 SEASALT 0.591798 0.16427 3.602595 0 Valid cases: 114 R-Squared: 0.966

**Lye Brook Wilderness Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 5.6808 5.0929 25.9379 0.1523 43.2012 555 RECON 5.3627 4.6278 21.4161 0.2889 37.1191 555

Appendix 1 47DRAFT

ASULFATE 2.7181 3.1398 9.8586 0.0715 31.9267 555 ANO3 0.5106 0.6358 0.4042 0.0151 5.978 555 OCM 1.6179 1.3452 1.8095 0.0059 11.1026 555 LAC 0.2287 0.1781 0.0317 -0.0156 1.2122 555 SOIL 0.2264 0.2764 0.0764 0.0017 3.9373 555 SEASALT 0.061 0.0886 0.0079 0.0003 1.1675 555

**Lye Brook Wilderness** Sulfate mass fraction 0.478 Nitrate mass fraction 0.09 OC mass fraction 0.285 LAC mass fraction 0.04 Soil mass fraction 0.04 Seasalt mass fraction 0.011 Missing mass fraction 0.056

**Lye Brook Wilderness Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.249266 0.0861372.893841 0.004 ASULFATE 1.1008480.02293747.99525 0 ANO3 0.370268 0.0856 4.325555 0 OCM 1.321023 0.06241 21.16675 0 LAC -0.25091 0.55803 -0.44964 0.653 SOIL 1.016611 0.208999 4.8642 0 SEASALT -0.98002 0.528607 -1.85397 0.064 Valid cases: 555 R-Squared: 0.954

**Ma mmoth Cave National Park**  **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 13.0074 7.2857 53.0815 2.3048 41.2177 390 RECON 12.6765 6.5351 42.7072 2.7823 33.7568 390 ASULFATE 7.0822 4.81 23.1361 0.8896 25.917 390 ANO3 0.8877 1.0272 1.0552 0.1036 9.4552 390 OCM 3.5994 2.0224 4.0902 0.2504 15.7457 390 LAC 0.4927 0.2569 0.066 0.0058 2.4143 390 SOIL 0.5565 1.0982 1.2059 0.0548 18.0659 390 SEASALT 0.058 0.0985 0.0097 0.0005 1.2106 390

**Ma mmoth Cave National Park**  Sulfate mass fraction 0.544 Nitrate mass fraction 0.068 OC mass fraction 0.277 LAC mass fraction 0.038 Soil mass fraction 0.043 Seasalt mass fraction 0.004 Missing mass fraction 0.025

**Ma mmoth Cave National Park**  **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.946 0.279912 3.379631 0.001 ASULFATE 1.06732 0.02844337.52513 0

Appendix 1 48DRAFT

ANO3 0.1929470.118909 1.62264 0.105 OCM 1.2573390.100032 12.56931 0 LAC -1.59722 0.743522 -2.14818 0.032 SOIL 1.2261170.104593 11.72269 0 SEASALT -1.54823 1.136589 -1.36217 0.174Valid cases: 390 RSquared: 0.910

**Me dicine Lake**  **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 3.3927 3.3235 11.0456 0.7783 34.7222 134 RECON 3.5004 3.3958 11.5313 0.9609 35.6893 134 ASULFATE 0.8622 0.5665 0.321 0.1394 3.3936 134 ANO3 0.515 0.6329 0.4006 -0.0163 2.9682 134 OCM 1.345 2.6491 7.0175 -0.2074 28.3334 134 LAC 0.1222 0.1219 0.0149 -0.0091 1.1204 134 SOIL 0.5767 0.7203 0.5188 0.0897 4.7782 134 SEASALT 0.0792 0.0818 0.0067 0.0002 0.3644 134

**Me dicine Lake**  Sulfate mass fraction 0.254 Nitrate mass fraction 0.152 OC mass fraction 0.396 LAC mass fraction 0.036 Soil mass fraction 0.17 Seasalt mass fraction 0.023 Missing mass fraction -0.032

**Me dicine Lake**  **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.006816 0.073142 0.093186 0.926 ASULFATE 1.0791650.062305 17.32069 0 ANO3 0.753531 0.056774 13.27246 0 OCM 0.971572 0.030866 31.47712 0 LAC 0.1248970.658219 0.18975 0.85 SOIL 1.171504 0.05495321.31832 0 SEASALT 0.8806390.3823422.303276 0.023 Valid cases: 134 R-Squared: 0.989

**Me sa Verde National Park**  **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 3.4372 2.5009 6.2545 0.3671 37.5969 765 RECON 3.2277 2.389 5.7072 0.4265 43.7338 765 ASULFATE 0.9562 0.5537 0.3066 0.1203 4.4619 765 ANO3 0.1522 0.1154 0.0133 -0.0626 0.8688 765 OCM 1.0807 0.772 0.5961 -0.1139 9.167 765 LAC 0.1233 0.0779 0.0061 -0.0176 0.6838 765 SOIL 0.8768 1.7933 3.2159 0.0197 38.18 765 SEASALT 0.0385 0.0543 0.0029 0.0002 0.4077 765

**Me sa Verde National Park** 

Appendix 1 49DRAFT

Sulfate mass fraction 0.278 Nitrate mass fraction 0.044 OC mass fraction 0.314 LAC mass fraction 0.036 Soil mass fraction 0.255 Seasalt mass fraction 0.011 Missing mass fraction 0.061

**Me sa Verde National Park**  **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.1002030.071878 1.394069 0.164 ASULFATE 1.31749 0.05629 23.40519 0 ANO3 1.266452 0.2750064.605188 0 OCM 0.803454 0.049752 16.14916 0 LAC 0.7364470.477827 1.541244 0.124 SOIL 1.000798 0.01783 56.12908 0 SEASALT 1.243314 0.5410392.298011 0.022Valid cases: 765 RSquared: 0.901

**Mingo Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 9.4957 6.3518 40.346 2.3667 31.394 43 RECON 8.1167 5.631 31.7081 1.4296 24.3283 43 ASULFATE 2.4264 1.6915 2.861 0.4286 9.5646 43 ANO3 1.9071 2.5585 6.546 0.0964 11.1769 43 OCM 2.4443 2.7092 7.3399 0.1663 11.5664 43 LAC 0.2748 0.2346 0.0551 0 1.1085 43 SOIL 0.8678 1.9074 3.6382 0.1784 12.7566 43 SEASALT 0.1962 0.2898 0.084 0.0018 1.2324 43

**Mingo** Sulfate mass fraction 0.256 Nitrate mass fraction 0.201 OC mass fraction 0.257 LAC mass fraction 0.029 Soil mass fraction 0.091 Seasalt mass fraction 0.021 Missing mass fraction 0.145

**Mingo Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.628452 0.574827 1.09329 0.282 ASULFATE 1.370462 0.185091 7.404253 0 ANO3 1.0972430.1288298.517019 0 OCM 0.6282890.2559362.454868 0.019 LAC 1.119552 3.059741 0.365898 0.717 SOIL 1.542458 0.1666 9.258472 0 SEASALT 1.363044 1.008562 1.351473 0.185Valid cases: 43 RSquared: 0.930

Appendix 1 50DRAFT

**MK Goddard Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 8.1667 4.102 16.8262 1.4995 20.3411 102 RECON 9.0744 4.2328 17.9167 2.2047 21.8269 102 ASULFATE 3.4325 2.0629 4.2555 0.7058 12.3021 102 ANO3 1.9234 1.8779 3.5264 0.1336 9.2249 102 OCM 2.7938 1.5886 2.5236 0.5677 9.5593 102 LAC 0.45 0.1971 0.0388 0.1224 1.0126 102 SOIL 0.3132 0.1692 0.0286 0.0379 0.9169 102 SEASALT 0.1614 0.2073 0.043 0.0008 1.4035 102

**MK Goddard** Sulfate mass fraction 0.42 Nitrate mass fraction 0.236 OC mass fraction 0.342 LAC mass fraction 0.055 Soil mass fraction 0.038 Seasalt mass fraction 0.02 Missing mass fraction -0.111

**MK Goddard Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.30625 0.174509 -1.75492 0.082 ASULFATE 1.186059 0.04054 29.25641 0 ANO3 0.83072 0.03575423.23444 0 OCM 0.9598630.072762 13.19186 0 LAC 0.438642 0.669514 0.655165 0.514 SOIL -0.20895 0.421385 -0.49586 0.621 SEASALT -0.06002 0.339205 -0.17696 0.86Valid cases: 102 RSquared: 0.978

**Mount Hood Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 1.7334 1.6364 2.6779 -0.2151 9.1777 149 RECON 1.7625 1.7186 2.9536 -0.0707 9.8381 149 ASULFATE 0.3974 0.3227 0.1041 0.0192 1.4974 149 ANO3 0.1356 0.1378 0.019 -0.0366 0.6665 149 OCM 0.7909 1.1739 1.3782 -0.243 7.8032 149 LAC 0.0716 0.0715 0.0051 -0.003 0.3635 149 SOIL 0.2272 0.3573 0.1277 0.0004 2.2942 149 0 SEASALT 0.1398 0.1696 0.0288 0.0008 1.0169 149

**Mount Hood** Sulfate mass fraction 0.229 Nitrate mass fraction 0.078 OC mass fraction 0.456 LAC mass fraction 0.041 Soil mass fraction 0.131 Seasalt mass fraction 0.081 Missing mass fraction -0.017

Appendix 1 51DRAFT

**Mount Hood Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.0547780.037508 1.460456 0.146 ASULFATE 1.3584630.099511 13.65141 0 ANO3 0.2923330.181773 1.608228 0.11 OCM 0.9842870.03605527.29941 0 LAC -1.44124 0.612769 -2.352 0.02 SOIL 1.108621 0.061637 17.98643 0 SEASALT 1.2302870.113944 10.79728 0Valid cases: 149 RSquared: 0.982

**Mohawk Mountain Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.9694 4.1791 17.4645 1.1137 18.5185 53 RECON 5.594 4.9539 24.5413 1.2777 23.5024 53 ASULFATE 2.5459 2.9381 8.6325 0.4712 12.8283 53 ANO3 0.5878 0.762 0.5806 0.0675 4.204 53 OCM 1.6458 1.188 1.4114 0.2311 5.8009 53 LAC 0.2245 0.1518 0.023 0.0443 0.7809 53 SOIL 0.2201 0.1745 0.0304 0.0156 0.752 53 SEASALT 0.3699 0.7492 0.5612 0.0015 3.4319 53

**Mohawk Mountain** Sulfate mass fraction 0.512 Nitrate mass fraction 0.118 OC mass fraction 0.331 LAC mass fraction 0.045 Soil mass fraction 0.044 Seasalt mass fraction 0.074 Missing mass fraction -0.126

**Mohawk Mountain Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.0088470.1689680.052359 0.958 ASULFATE 0.977071 0.053847 18.14542 0 ANO3 0.4834880.288909 1.673495 0.101 OCM 1.021154 0.1219058.376605 0 LAC 1.042486 1.302501 0.800373 0.428 SOIL 1.9099790.485912 3.930711 0 SEASALT -0.39481 0.228192 -1.73015 0.09Valid cases: 53 RSquared: 0.986

**Monture Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.9725 6.5433 42.8145 0.1235 42.5513 113 RECON 4.6171 7.9325 62.9246 0.4931 52.4062 113 ASULFATE 0.4723 0.3258 0.1061 0.0502 1.6801 113 ANO3 0.137 0.1594 0.0254 -0.0143 1.3287 113 OCM 3.3619 7.0919 50.295 0.0774 47.2021 113 LAC 0.2245 0.4339 0.1883 0 2.8848 113

Appendix 1 52DRAFT

SOIL 0.3492 0.4688 0.2198 0.0014 2.5433 113 SEASALT 0.0721 0.0664 0.0044 0.0007 0.2968 113

**Monture** Sulfate mass fraction 0.119 Nitrate mass fraction 0.034 OC mass fraction 0.846 LAC mass fraction 0.057 Soil mass fraction 0.088 Seasalt mass fraction 0.018 Missing mass fraction -0.162

**Monture Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.075311 0.114284 0.658979 0.511 ASULFATE 1.0441850.172002 6.070781 0 ANO3 0.6149450.391752 1.569731 0.119 OCM 0.929322 0.03644925.49649 0 LAC -1.4087 0.577444 -2.43955 0.016 SOIL 1.545821 0.134143 11.52365 0 SEASALT -0.3898 0.794515 -0.49062 0.625 Valid cases: 113 R-Squared: 0.994

**Moosehorn National Wildlife Refuge Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.8715 3.12 9.7345 0.7645 26.0034 531 RECON 4.9119 3.0017 9.0099 0.7126 26.4267 531 ASULFATE 1.9892 1.6249 2.6402 0.1397 19.0537 531 ANO3 0.3491 0.3473 0.1206 -0.0316 2.4376 531 OCM 1.8917 1.6264 2.6452 0.2686 22.0955 531 LAC 0.2473 0.3443 0.1185 0.0097 6.9566 531 SOIL 0.209 0.1582 0.025 0.0037 1.5105 531 SEASALT 0.2256 0.5019 0.2519 0.0003 6.7884 531

**Moosehorn National Wildlife Refuge** Sulfate mass fraction 0.408 Nitrate mass fraction 0.072 OC mass fraction 0.388 LAC mass fraction 0.051 Soil mass fraction 0.043 Seasalt mass fraction 0.046 Missing mass fraction -0.008

**Moosehorn National Wildlife Refuge CONSTA** **NT -0.05094**  **0.073152 -0.69636**  **0.487** ASULFATE 1.1262350.02438946.17856 0 ANO3 0.6239580.112546 5.544022 0 OCM 0.9237 0.024652 37.46975 0 LAC 0.681051 0.105803 6.43698 0 SOIL 1.4984490.2417086.199421 0 SEASALT 1.043332 0.07291 14.30989 0

Appendix 1 53DRAFT

Valid cases: 531 R-Squared: 0.934

**Mount Rainier National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.4514 3.5619 12.6872 0.0305 28.4259 973 RECON 4.3768 3.3288 11.0809 0.1566 24.5174 973 ASULFATE 1.0738 1.0983 1.2062 0.0129 9.2961 973 ANO3 0.2012 0.2204 0.0486 -0.0378 1.9506 973 OCM 2.4701 2.1294 4.5344 -0.1863 13.8767 973 LAC 0.3266 0.307 0.0943 -0.0246 2.1223 973 SOIL 0.1843 0.2504 0.0627 0.0024 3.4598 973 SEASALT 0.1209 0.201 0.0404 0.0002 1.9244 973

**Mount Rainier National Park** Sulfate mass fraction 0.241 Nitrate mass fraction 0.045 OC mass fraction 0.555 LAC mass fraction 0.073 Soil mass fraction 0.041 Seasalt mass fraction 0.027 Missing mass fraction 0.017

**Mount Rainier National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.08776 0.052916 -1.65845 0.098 ASULFATE 1.3009290.034811 37.37084 0 ANO3 0.760911 0.1726674.406805 0 OCM 0.881382 0.03352326.29209 0 LAC 1.553736 0.223319 6.95746 0 SOIL 0.9038230.1356086.664986 0 SEASALT 1.14206 0.15173 7.526926 0Valid cases: 973 RSquared: 0.936

**Mount Zirkel Wilderness Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.6414 1.9603 3.8429 -0.2537 22.3264 372 RECON 2.7451 1.8688 3.4925 0.2679 24.1315 372 ASULFATE 0.7617 0.4217 0.1779 0.125 2.9015 372 ANO3 0.188 0.1931 0.0373 0.015 2.4249 372 OCM 1.0727 1.1758 1.3825 -0.0783 16.4358 372 LAC 0.1053 0.0828 0.0069 -0.006 1.0104 372 SOIL 0.5738 0.6448 0.4157 0.0015 5.7191 372 SEASALT 0.0437 0.0794 0.0063 0.0002 0.4592 372

**Mount Zirkel Wilderness** Sulfate mass fraction 0.288 Nitrate mass fraction 0.071 OC mass fraction 0.406 LAC mass fraction 0.04 Soil mass fraction 0.217

Appendix 1 54DRAFT

Seasalt mass fraction 0.017 Missing mass fraction -0.039

**Mount Zirkel Wilderness Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.20953 0.06819 -3.0728 0.002 ASULFATE 1.245482 0.075631 16.46776 0 ANO3 0.307968 0.18125 1.699135 0.09 OCM 0.94444 0.042851 22.04023 0 LAC 1.6744170.5986492.796993 0.005 SOIL 1.10769 0.05100821.71583 0 SEASALT 0.4427390.383783 1.153618 0.249 Valid cases: 372 R-Squared: 0.917

**Nebraska National Forest Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.3213 3.0437 9.2644 0.8903 14.6051 51 RECON 4.6226 3.2848 10.79 0.9365 15.2499 51 ASULFATE 1.2567 0.9021 0.8138 0.1565 3.7137 51 ANO3 0.8364 1.2471 1.5553 0.0399 5.6815 51 OCM 1.7426 2.0315 4.1272 0.187 11.9185 51 LAC 0.1589 0.1379 0.019 0.0089 0.7246 51 SOIL 0.5353 0.362 0.131 0.1358 1.784 51 SEASALT 0.0927 0.0994 0.0099 0.008 0.488 51

**Nebraska National Forest** Sulfate mass fraction 0.291 Nitrate mass fraction 0.194 OC mass fraction 0.403 LAC mass fraction 0.037 Soil mass fraction 0.124 Seasalt mass fraction 0.021 Missing mass fraction -0.07

**Nebraska National Forest Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.0917530.1372730.668396 0.507 ASULFATE 1.052856 0.131532 8.004548 0 ANO3 0.8032770.068139 11.78875 0 OCM 1.201074 0.122861 9.775889 0 LAC -3.35257 2.015486 -1.6634 0.103 SOIL 1.600571 0.211519 7.567034 0 SEASALT -1.96611 0.726552 -2.70608 0.01Valid cases: 51 RSquared: 0.979

**North A bsaroka**  **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 2.5139 3.4726 12.0592 -0.0626 27.0195 154 RECON 2.6699 3.6244 13.136 0.4184 27.8708 154 ASULFATE 0.5401 0.384 0.1475 0.0488 2.1321 154

Appendix 1 55DRAFT

ANO3 0.1585 0.1368 0.0187 0.0119 0.8104 154 OCM 1.4167 2.9971 8.9825 0.0169 24.2181 154 LAC 0.1058 0.1767 0.0312 0 1.3032 154 SOIL 0.3703 0.4693 0.2202 0.0066 3.6465 154 SEASALT 0.0786 0.0801 0.0064 0.0008 0.6876 154

**North A bsaroka**  Sulfate mass fraction 0.215 Nitrate mass fraction 0.063 OC mass fraction 0.564 LAC mass fraction 0.042 Soil mass fraction 0.147 Seasalt mass fraction 0.031 Missing mass fraction -0.062

**North A bsaroka**  **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.1386 0.086913 -1.59467 0.113 ASULFATE 0.818863 0.15384 5.322836 0 ANO3 0.76911 0.3719332.067871 0.04 OCM 0.70006 0.046532 15.04464 0 LAC 4.97863 0.8165386.097241 0 SOIL 1.2950080.100611 12.87143 0 SEASALT 1.149531 0.5303652.167432 0.032 Valid cases: 154 R-Squared: 0.979

**North Cascades Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.3291 2.435 5.9293 0.0628 13.5269 163 RECON 2.5541 2.6785 7.1744 0.036 15.3449 163 ASULFATE 0.6072 0.5833 0.3402 0.0154 3.2696 163 ANO3 0.134 0.1627 0.0265 -0.0221 1.0365 163 OCM 1.396 1.9428 3.7744 -0.0913 14.0528 163 LAC 0.1053 0.1161 0.0135 0 0.6281 163 SOIL 0.2195 0.6489 0.4211 0.0012 5.0581 163 SEASALT 0.0921 0.0974 0.0095 0.0002 0.6127 163

**North Cascades** Sulfate mass fraction 0.261 Nitrate mass fraction 0.058 OC mass fraction 0.599 LAC mass fraction 0.045 Soil mass fraction 0.094 Seasalt mass fraction 0.04 Missing mass fraction -0.097

**North Cascades Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.10689 0.060354 -1.7711 0.078 ASULFATE 1.6212730.111633 14.52323 0 ANO3 -0.35249 0.352667 -0.99951 0.319

Appendix 1 56DRAFT

OCM 0.823406 0.04103220.06719 0 LAC -0.35341 0.757207 -0.46673 0.641 SOIL 1.0881490.054571 19.94024 0 SEASALT 1.601841 0.3460334.629154 0 Valid cases: 163 R-Squared: 0.973

**Northern Cheyenne Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 5.8762 8.9787 80.6166 0.2682 46.8782 47 RECON 5.5072 9.1075 82.9465 0.4745 52.1623 47 ASULFATE 0.9664 1.7456 3.0471 0.1697 11.8464 47 ANO3 0.2319 0.5704 0.3254 0.0243 3.8486 47 OCM 3.3902 5.9242 35.0958 0.1564 27.9428 47 LAC 0.2354 0.4785 0.2289 0.0059 2.9779 47 SOIL 0.6126 1.039 1.0796 0.0432 7.2232 47 SEASALT 0.0707 0.0841 0.0071 0.0032 0.3245 47

**Northern Cheyenne** Sulfate mass fraction 0.164 Nitrate mass fraction 0.039 OC mass fraction 0.577 LAC mass fraction 0.04 Soil mass fraction 0.104 Seasalt mass fraction 0.012 Missing mass fraction 0.063

**Northern Cheyenne Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.324604 0.6084190.533521 0.597 ASULFATE -3.69873 1.17086 -3.15898 0.003 ANO3 -1.71073 2.26312 -0.75592 0.454 OCM 0.559234 0.194981 2.868147 0.007 LAC 6.0441242.0183832.994538 0.005 SOIL 10.51746 1.5479356.794509 0 SEASALT -3.38346 5.108151 -0.66237 0.512Valid cases: 47 RSquared: 0.913

Okefenokee National Wildlife Refuge **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 10.3403 5.569 31.0134 2.4913 47.4265 565 RECON 10.4077 6.2189 38.6751 2.6577 77.7446 565 ASULFATE 4.8121 3.0509 9.3079 0.6419 23.4351 565 ANO3 0.542 0.3078 0.0947 0.0709 2.2501 565 OCM 3.597 4.0851 16.6884 0.8833 71.6861 565 LAC 0.436 0.3907 0.1527 -0.0033 4.9318 565 SOIL 0.7917 2.0849 4.3467 0.0254 25.3715 565 SEASALT 0.229 0.377 0.1421 0.0002 3.0884 565

Okefenokee National Wildlife Refuge Sulfate mass fraction 0.465

Appendix 1 57DRAFT

Nitrate mass fraction 0.052 OC mass fraction 0.348 LAC mass fraction 0.042 Soil mass fraction 0.077 Seasalt mass fraction 0.022 Missing mass fraction -0.007

Okefenokee National Wildlife Refuge **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.752751 0.1393335.402531 0 ASULFATE 1.124254 0.01821761.71493 0 ANO3 0.386951 0.202388 1.911924 0.056 OCM 0.5364570.02186924.53094 0 LAC 2.5119290.242462 10.36008 0 SOIL 1.012374 0.02711837.33214 0 SEASALT 0.6184270.160642 3.849729 0Valid cases: 565 RSquared: 0.948

**Old Town Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 7.2913 5.3869 29.019 1.462 31.6595 139 RECON 8.1464 6.016 36.1925 1.2459 35.0456 139 ASULFATE 2.8067 1.9589 3.8374 0.4298 14.0522 139 ANO3 0.601 0.6467 0.4182 0.0524 4.2405 139 OCM 3.5043 3.3688 11.3488 -0.1577 21.6266 139 LAC 0.4941 0.4486 0.2013 0 2.6394 139 SOIL 0.496 0.6057 0.3668 0.0149 5.4223 139 SEASALT 0.2442 0.2916 0.085 0.0028 1.6703 139

**Old Town** Sulfate mass fraction 0.385 Nitrate mass fraction 0.082 OC mass fraction 0.481 LAC mass fraction 0.068 Soil mass fraction 0.068 Seasalt mass fraction 0.033 Missing mass fraction -0.117

**Old Town Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.18366 0.103252 -1.77871 0.078 ASULFATE 1.15094 0.04316726.66244 0 ANO3 0.970271 0.131174 7.396797 0 OCM 0.7190850.02515828.58279 0 LAC 0.969047 0.16477 5.881221 0 SOIL 1.013616 0.101924 9.944828 0 SEASALT 0.6551570.191322 3.424359 0.001Valid cases: 139 RSquared: 0.987

**Olympic**

Appendix 1 58DRAFT

**Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 2.4856 1.6739 2.8019 0.4166 7.8302 146 RECON 2.7964 1.8012 3.2442 0.5273 9.342 146 ASULFATE 0.7103 0.5547 0.3077 0.0638 2.5828 146 ANO3 0.3126 0.2756 0.076 -0.0191 1.3781 146 OCM 1.3195 1.1145 1.2421 0.2344 6.6175 146 LAC 0.1144 0.0752 0.0057 0.0091 0.4113 146 SOIL 0.0852 0.0902 0.0081 0.0015 0.7456 146 SEASALT 0.2545 0.3689 0.1361 0.0002 2.0333 146

**Olympic** Sulfate mass fraction 0.286 Nitrate mass fraction 0.126 OC mass fraction 0.531 LAC mass fraction 0.046 Soil mass fraction 0.034 Seasalt mass fraction 0.102 Missing mass fraction -0.125

**Olympic Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.068112 0.059246 1.149648 0.252 ASULFATE 1.1505880.072162 15.94452 0 ANO3 0.9604250.1428836.721778 0 OCM 0.9606450.048188 19.93546 0 LAC -2.5056 0.672395 -3.72638 0 SOIL 1.359451 0.370122 3.672981 0 SEASALT 0.798803 0.0771 10.36065 0 Valid cases: 146 R-Squared: 0.963

**Pasayten Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.0309 3.9352 15.4859 0.0326 23.1325 137 RECON 3.1866 4.3777 19.164 0.1237 25.4485 137 ASULFATE 0.4362 0.4105 0.1685 0.0202 2.9375 137 ANO3 0.1321 0.1649 0.0272 -0.0071 1.1453 137 OCM 1.9962 3.7085 13.7526 -0.0079 22.3893 137 LAC 0.1193 0.1625 0.0264 0 0.8474 137 SOIL 0.4131 0.7434 0.5527 0.0045 6.0257 137 SEASALT 0.0897 0.1128 0.0127 0.0005 0.9611 137

**Pasayten** Sulfate mass fraction 0.144 Nitrate mass fraction 0.044 OC mass fraction 0.659 LAC mass fraction 0.039 Soil mass fraction 0.136 Seasalt mass fraction 0.03 Missing mass fraction -0.051

**Pasayten**

Appendix 1 59DRAFT

**Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.19939 0.076688 -2.60005 0.01 ASULFATE 1.5416880.140586 10.96618 0 ANO3 0.8369670.331968 2.52123 0.013 OCM 0.8475030.036991 22.91109 0 LAC -0.00482 0.875859 -0.0055 0.996 SOIL 1.21168 0.070302 17.23535 0 SEASALT 2.848397 0.42629 6.681828 0 Valid cases: 137 R-Squared: 0.982

**Petrified Forest National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.1956 2.17 4.7088 0.8941 25.4948 701 RECON 4.057 1.9168 3.6741 0.9827 22.6503 701 ASULFATE 1.1315 0.6259 0.3918 0.186 4.559 701 ANO3 0.2172 0.1611 0.026 -0.0004 1.2845 701 OCM 1.4256 0.8435 0.7116 -0.0569 7.0672 701 LAC 0.2697 0.1508 0.0227 -0.0245 0.9228 701 SOIL 0.9584 1.1365 1.2917 0.0632 19.6805 701 SEASALT 0.0546 0.0927 0.0086 0.0002 1.192 701

**Petrified Forest National Park** Sulfate mass fraction 0.27 Nitrate mass fraction 0.052 OC mass fraction 0.34 LAC mass fraction 0.064 Soil mass fraction 0.228 Seasalt mass fraction 0.013 Missing mass fraction 0.033

**Petrified Forest National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.0927 0.08792 -1.05439 0.292 ASULFATE 1.3505780.05583224.19021 0 ANO3 0.7677880.2251933.409471 0.001 OCM 0.582742 0.049325 11.81431 0 LAC 2.1342670.267508 7.978332 0 SOIL 1.1813790.031674 37.29799 0 SEASALT 1.0030880.3517972.851328 0.004 Valid cases: 701 R-Squared: 0.850

**Phoenix Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 12.1602 6.0476 36.573 3.977 38.7944 185 RECON 13.8882 7.9645 63.4325 4.8848 52.2961 185 ASULFATE 1.6336 0.7563 0.572 0.4071 4.4797 185 ANO3 1.4306 2.2506 5.0654 0.1232 17.6022 185 OCM 6.4961 5.5971 31.3275 1.3921 37.5874 185 LAC 0.9427 0.7588 0.5758 0.1821 4.7085 185 SOIL 3.1585 1.9194 3.6841 0.3569 13.7944 185

Appendix 1 60DRAFT

SEASALT 0.2268 0.2864 0.082 0.0015 2.7596 185

**Phoenix** Sulfate mass fraction 0.134 Nitrate mass fraction 0.118 OC mass fraction 0.534 LAC mass fraction 0.078 Soil mass fraction 0.26 Seasalt mass fraction 0.019 Missing mass fraction -0.142

**Phoenix Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.06257 0.359724 -0.17394 0.862 ASULFATE 1.2832450.145934 8.793302 0 ANO3 0.6765530.058431 11.57868 0 OCM 0.7152650.03512920.36136 0 LAC 0.777246 0.2350033.307391 0.001 SOIL 1.1335090.05457320.77066 0 SEASALT 0.8792090.3833442.293524 0.023Valid cases: 185 RSquared: 0.949

**Pinnacles National Monument Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 5.6928 3.0075 9.0453 0.443 19.6059 1043 RECON 5.7613 2.9328 8.6011 0.6319 26.8802 1043 ASULFATE 1.3569 0.8465 0.7165 0.0908 5.4429 1043 ANO3 1.1163 0.962 0.9254 0.0021 11.573 1043 OCM 2.2325 1.5202 2.3111 0.0752 12.0521 1043 LAC 0.3294 0.271 0.0734 -0.038 2.6227 1043 SOIL 0.4109 0.4382 0.192 0.0055 7.1216 1043 SEASALT 0.3153 0.4394 0.1931 0.001 2.9121 1043

**Pinnacles National Monument** Sulfate mass fraction 0.238 Nitrate mass fraction 0.196 OC mass fraction 0.392 LAC mass fraction 0.058 Soil mass fraction 0.072 Seasalt mass fraction 0.055 Missing mass fraction -0.012

**Pinnacles National Monument Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.05652 0.076856 -0.73545 0.462 ASULFATE 1.317884 0.04421529.80593 0 ANO3 0.6447690.042958 15.00931 0 OCM 0.9220180.039221 23.5082 0 LAC 0.8890150.227722 3.903947 0 SOIL 1.281641 0.082657 15.50554 0 SEASALT 1.1528650.080292 14.35839 0

Appendix 1 61DRAFT

Valid cases: 1043 R-Squared: 0.881

Proctor Maple RF **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 3.7344 2.6993 7.2863 0.5165 17.3612 98 RECON 4.1106 2.7303 7.4543 0.8281 17.5468 98 ASULFATE 1.4372 1.2786 1.6348 0.2075 10.7868 98 ANO3 0.5867 0.9929 0.9859 0.0424 7.4338 98 OCM 1.6135 1.0554 1.1138 0.2914 6.9503 98 LAC 0.1971 0.1191 0.0142 0.0403 0.7745 98 SOIL 0.1537 0.1246 0.0155 0.0027 0.6586 98 SEASALT 0.1224 0.1653 0.0273 0.0015 1.3574 98

Proctor Maple RF Sulfate mass fraction 0.385 Nitrate mass fraction 0.157 OC mass fraction 0.432 LAC mass fraction 0.053 Soil mass fraction 0.041 Seasalt mass fraction 0.033 Missing mass fraction -0.101

Proctor Maple RF **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.15853 0.086356 -1.83579 0.07 ASULFATE 1.0697830.03999426.74881 0 ANO3 0.984806 0.054593 18.03892 0 OCM 1.16677 0.059855 19.49334 0 LAC -1.11963 0.756012 -1.48097 0.142 SOIL 0.726394 0.380219 1.910464 0.059 SEASALT 0.033424 0.24141 0.138455 0.89Valid cases: 98 RSquared: 0.981

Point Reyes National Seashore **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 6.8681 4.184 17.506 0.6173 28.9116 1258 RECON 6.4583 4.3769 19.1571 0.4802 43.2271 1258 ASULFATE 1.5794 0.9729 0.9466 0.0026 6.1745 1258 ANO3 1.0624 2.1832 4.7663 0 29.6028 1258 OCM 1.4842 1.7864 3.1913 -0.2648 19.3118 1258 LAC 0.147 0.2402 0.0577 -0.0499 2.5799 1258 SOIL 0.2035 0.2541 0.0646 0.0047 4.3284 1258 SEASALT 1.9817 1.9445 3.7812 0.0035 12.8419 1258

Point Reyes National Seashore Sulfate mass fraction 0.23 Nitrate mass fraction 0.155 OC mass fraction 0.216 LAC mass fraction 0.021

Appendix 1 62DRAFT

Soil mass fraction 0.03 Seasalt mass fraction 0.289 Missing mass fraction 0.06

Point Reyes National Seashore **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.2745690.083551 3.286243 0.001 ASULFATE 1.284861 0.040532 31.70024 0 ANO3 0.742744 0.02700827.50102 0 OCM 1.0728 0.03771328.44645 0 LAC -0.87338 0.345438 -2.52834 0.012 SOIL 1.2610530.157415 8.01099 0 SEASALT 1.036794 0.02068850.11517 0 Valid cases: 1258 R-Squared: 0.900

**Presque Isle Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.7916 3.3108 10.9614 1.0504 20.9235 141 RECON 5.3813 3.8721 14.9932 1.1147 25.1175 141 ASULFATE 1.5974 1.5539 2.4145 0.2661 15.3012 141 ANO3 0.4033 0.5823 0.3391 -0.015 5.2962 141 OCM 2.2445 1.8785 3.5289 0.3992 13.7889 141 LAC 0.2927 0.1878 0.0353 0.0734 1.0843 141 SOIL 0.6742 0.7983 0.6372 0.0147 5.7091 141 SEASALT 0.1692 0.2333 0.0544 0.0017 1.2721 141

**Presque Isle** Sulfate mass fraction 0.333 Nitrate mass fraction 0.084 OC mass fraction 0.468 LAC mass fraction 0.061 Soil mass fraction 0.141 Seasalt mass fraction 0.035 Missing mass fraction -0.123

**Presque Isle Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.311236 0.0879533.538663 0.001 ASULFATE 0.931112 0.03231 28.81806 0 ANO3 1.004636 0.109962 9.136206 0 OCM 0.721455 0.04159 17.34685 0 LAC 0.21687 0.3543390.612039 0.542 SOIL 1.1866730.05499821.57677 0 SEASALT 0.620564 0.188482 3.292435 0.001Valid cases: 141 RSquared: 0.979

**Puget Sound Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 7.7615 4.9167 24.1737 1.7287 30.9466 470 RECON 9.0276 5.7285 32.8152 2.2777 39.8844 470

Appendix 1 63DRAFT

ASULFATE 1.5907 1.0342 1.0695 0.184 6.6358 470 ANO3 0.961 0.9566 0.915 0.0676 7.9563 470 OCM 4.8324 3.9107 15.2933 0.9376 26.8322 470 LAC 0.8099 0.5834 0.3403 0.101 4.5015 470 SOIL 0.4466 0.4331 0.1876 0.0611 5.4094 470 SEASALT 0.3869 0.5139 0.2641 0.0005 3.608 470

**Puget Sound** Sulfate mass fraction 0.205 Nitrate mass fraction 0.124 OC mass fraction 0.623 LAC mass fraction 0.104 Soil mass fraction 0.058 Seasalt mass fraction 0.05 Missing mass fraction -0.163

**Puget Sound Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.15392 0.145085 -1.06093 0.289 ASULFATE 1.233544 0.081763 15.08687 0 ANO3 0.7573030.0886668.541092 0 OCM 0.747312 0.02398 31.16381 0 LAC 0.824211 0.1410655.842752 0 SOIL 1.068626 0.1729776.177853 0 SEASALT 1.212934 0.1236559.809018 0 Valid cases: 470 R-Squared: 0.929

**Quaker City Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 7.7201 5.3821 28.9665 2.7293 32.5577 49 RECON 8.5263 5.1695 26.7235 2.6658 27.8257 49 ASULFATE 3.6757 3.8572 14.878 0.772 23.8294 49 ANO3 1.721 1.6002 2.5606 0.152 6.3934 49 OCM 2.2956 1.1974 1.4338 0.8723 5.1629 49 LAC 0.3842 0.2113 0.0446 0.1133 1.0038 49 SOIL 0.2904 0.1441 0.0208 0.0251 0.811 49 SEASALT 0.1595 0.3416 0.1167 0.0003 1.8298 49

**Quaker City** Sulfate mass fraction 0.476 Nitrate mass fraction 0.223 OC mass fraction 0.297 LAC mass fraction 0.05 Soil mass fraction 0.038 Seasalt mass fraction 0.021 Missing mass fraction -0.104

**Quaker City Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.06832 0.288035 -0.23718 0.814 ASULFATE 1.242616 0.040884 30.39336 0

Appendix 1 64DRAFT

ANO3 0.809496 0.075641 10.70187 0 OCM 0.9200650.2050684.486641 0 LAC -0.05899 0.987904 -0.05971 0.953 SOIL -0.48465 1.254481 -0.38634 0.701 SEASALT -0.75755 0.427302 -1.77286 0.084Valid cases: 49 RSquared: 0.981

**Quabbin Summit Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.291 2.8149 7.9238 1.1721 15.3813 64 RECON 4.8312 3.3214 11.0315 1.3785 17.287 64 ASULFATE 1.8888 1.754 3.0765 0.4854 11.5976 64 ANO3 0.552 0.8683 0.754 0.056 5.5248 64 OCM 1.7735 1.2945 1.6757 0.3866 7.4513 64 LAC 0.2348 0.1212 0.0147 0.0534 0.5505 64 SOIL 0.2293 0.2052 0.0421 0.0141 1.0483 64 SEASALT 0.1527 0.2053 0.0422 0.0037 1.3585 64

**Quabbin Summit** Sulfate mass fraction 0.44 Nitrate mass fraction 0.129 OC mass fraction 0.413 LAC mass fraction 0.055 Soil mass fraction 0.053 Seasalt mass fraction 0.036 Missing mass fraction -0.126

**Quabbin Summit Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.3085790.143521 2.150063 0.036 ASULFATE 0.986496 0.04725220.87736 0 ANO3 0.694516 0.095489 7.273226 0 OCM 0.8182470.0882559.271416 0 LAC 0.497772 0.8057130.617804 0.539 SOIL 1.238742 0.353711 3.502126 0.001 SEASALT -0.7621 0.351982 -2.16516 0.035Valid cases: 64 RSquared: 0.974

**Queen Valley Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 5.6485 3.5066 12.2966 1.142 27.6228 105 RECON 5.4395 2.9705 8.824 1.2323 22.3608 105 ASULFATE 1.3934 0.7048 0.4968 0.234 4.1825 105 ANO3 0.4045 0.5049 0.2549 0.0453 4.7985 105 OCM 1.5535 1.483 2.1994 0.4208 13.9043 105 LAC 0.166 0.112 0.0125 0 0.8412 105 SOIL 1.7991 1.4961 2.2384 0.1411 11.4968 105 SEASALT 0.123 0.2125 0.0451 0.0012 2.0504 105

**Queen Valley**

Appendix 1 65DRAFT

Sulfate mass fraction 0.247 Nitrate mass fraction 0.072 OC mass fraction 0.275 LAC mass fraction 0.029 Soil mass fraction 0.319 Seasalt mass fraction 0.022 Missing mass fraction 0.037

**Queen Valley Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.01782 0.245005 -0.07273 0.942 ASULFATE 1.123996 0.130372 8.621433 0 ANO3 0.6082630.179314 3.392176 0.001 OCM 1.2001130.122511 9.795972 0 LAC -2.85117 1.549325 -1.84026 0.069 SOIL 1.3478080.080348 16.77468 0 SEASALT 0.311286 0.4171690.746187 0.457 Valid cases: 105 R-Squared: 0.943

**San Rafael Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.6505 3.4099 11.6271 0.2537 24.1651 155 RECON 4.8157 3.0659 9.3996 0.4694 21.6231 155 ASULFATE 1.2397 0.8017 0.6427 0.1026 3.8565 155 ANO3 0.9014 0.7998 0.6397 0.0262 5.3482 155 OCM 1.5643 1.5321 2.3474 -0.0295 15.0289 155 LAC 0.1437 0.1001 0.01 -0.006 0.7106 155 SOIL 0.6868 0.8957 0.8023 0.01 8.2302 155 SEASALT 0.2798 0.3786 0.1433 0.0038 3.1185 155

**San Rafael** Sulfate mass fraction 0.267 Nitrate mass fraction 0.194 OC mass fraction 0.336 LAC mass fraction 0.031 Soil mass fraction 0.148 Seasalt mass fraction 0.06 Missing mass fraction -0.036

**San Rafael Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.40033 0.128052 -3.12633 0.002 ASULFATE 1.3943330.099612 13.99762 0 ANO3 0.9462030.085156 11.11141 0 OCM 1.3907450.06848220.30804 0 LAC -4.86609 1.163721 -4.1815 0 SOIL 0.9582980.071605 13.3832 0 SEASALT 1.196843 0.16295 7.344852 0 Valid cases: 155 R-Squared: 0.957

Appendix 1 66DRAFT

**Redwood National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.6238 4.5105 20.3449 0.1564 97.9345 1357 RECON 4.2949 4.1209 16.9814 0.3008 85.804 1357 ASULFATE 0.9607 0.6994 0.4892 0.0003 4.1059 1357 ANO3 0.3391 0.3081 0.0949 -0.016 2.5841 1357 OCM 1.6822 3.3264 11.0652 -0.2318 78.1628 1357 LAC 0.125 0.2 0.04 -0.0656 4.9942 1357 SOIL 0.159 0.2311 0.0534 0.0001 3.6387 1357 SEASALT 1.0288 1.1219 1.2588 0.0008 7.9472 1357

**Redwood National Park** Sulfate mass fraction 0.208 Nitrate mass fraction 0.073 OC mass fraction 0.364 LAC mass fraction 0.027 Soil mass fraction 0.034 Seasalt mass fraction 0.223 Missing mass fraction 0.071

**Redwood National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.199494 0.086051 2.318331 0.021 ASULFATE 1.2263190.089256 13.73929 0 ANO3 1.5940380.227238 7.014839 0 OCM 1.19724 0.029984 39.92989 0 LAC -3.6584 0.498302 -7.34172 0 SOIL 1.251564 0.21375 5.855268 0 SEASALT 0.9234890.047667 19.37366 0 Valid cases: 1357 R-Squared: 0.860

Cape Romain National Wildlife Refuge **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 9.0746 4.7137 22.2188 1.0638 31.8771 435 RECON 8.7759 4.3007 18.4964 1.7805 29.2242 435 ASULFATE 4.2149 2.6749 7.1551 0.3091 16.9786 435 ANO3 0.5302 0.3479 0.121 0.0804 2.7431 435 OCM 2.7866 1.8183 3.3063 0.3229 17.5909 435 LAC 0.3399 0.2466 0.0608 -0.0106 1.4579 435 SOIL 0.5275 1.1184 1.2509 0.0031 16.057 435 SEASALT 0.3767 0.7711 0.5946 0.0007 8.0487 435

Cape Romain National Wildlife Refuge Sulfate mass fraction 0.464 Nitrate mass fraction 0.058 OC mass fraction 0.307 LAC mass fraction 0.037 Soil mass fraction 0.058 Seasalt mass fraction 0.042 Missing mass fraction 0.033

Appendix 1 67DRAFT

Cape Romain National Wildlife Refuge **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.29924 0.163171 1.833901 0.067 ASULFATE 1.1930590.02829642.16289 0 ANO3 0.413206 0.214275 1.928395 0.054 OCM 0.886806 0.064713 13.70368 0 LAC 0.2300550.4877370.471679 0.637 SOIL 1.2017680.05925920.28001 0 SEASALT 0.913861 0.092697 9.85856 0 Valid cases: 435 R-Squared: 0.920

**Rocky M ountain National Park**  **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 3.0663 2.1563 4.6496 0.151 11.4997 575 RECON 3.1669 1.988 3.9522 0.3488 10.5855 575 ASULFATE 0.8352 0.5567 0.3099 0.0583 3.6572 575 ANO3 0.2569 0.3246 0.1054 -0.0295 2.552 575 OCM 1.2569 1.046 1.0941 -0.0985 8.4812 575 LAC 0.1298 0.0889 0.0079 -0.0064 0.5118 575 SOIL 0.6452 0.6695 0.4482 0.0032 6.8068 575 SEASALT 0.043 0.0771 0.0059 0.0002 0.6504 575

**Rocky M ountain National Park**  Sulfate mass fraction 0.272 Nitrate mass fraction 0.084 OC mass fraction 0.41 LAC mass fraction 0.042 Soil mass fraction 0.21 Seasalt mass fraction 0.014 Missing mass fraction -0.033

**Rocky M ountain National Park**  **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.23847 0.05116 -4.66113 0 ASULFATE 1.270784 0.06095320.84869 0 ANO3 0.0408590.0936730.436186 0.663 OCM 0.948572 0.03757225.24647 0 LAC 1.194781 0.4494072.658571 0.008 SOIL 1.340102 0.039302 34.09798 0 SEASALT 0.486042 0.318364 1.526688 0.127 Valid cases: 575 R-Squared: 0.927

**Salt Creek Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 7.2607 5.6664 32.1077 0.9045 37.18 148 RECON 6.51 3.9851 15.8812 0.8466 22.0528 148 ASULFATE 1.6327 1.1162 1.2459 0.2183 8.6052 148 ANO3 0.9571 1.152 1.3271 0.06 8.4575 148 OCM 1.3021 0.8117 0.6588 0.2484 7.5816 148 LAC 0.1722 0.0942 0.0089 0.0212 0.4794 148

Appendix 1 68DRAFT

SOIL 2.334 3.0077 9.046 0.0305 18.2439 148 SEASALT 0.112 0.1225 0.015 0.0002 0.6557 148

**Salt Creek** Sulfate mass fraction 0.225 Nitrate mass fraction 0.132 OC mass fraction 0.179 LAC mass fraction 0.024 Soil mass fraction 0.321 Seasalt mass fraction 0.015 Missing mass fraction 0.103

**Salt Creek Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.76567 0.243276 -3.14735 0.002 ASULFATE 1.2993380.102542 12.67133 0 ANO3 0.972972 0.1099988.845349 0 OCM 0.80555 0.1525075.282037 0 LAC 0.015546 1.38279 0.011242 0.991 SOIL 1.546218 0.03593 43.03391 0 SEASALT 2.7982550.7839093.569617 0 Valid cases: 148 R-Squared: 0.964

**Sac and Fox Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 8.0162 4.694 22.0333 1.7067 22.1262 52 RECON 8.6527 4.6281 21.4191 2.1239 20.8781 52 ASULFATE 2.2163 1.6747 2.8047 0.418 6.7105 52 ANO3 3.0343 2.7181 7.3882 0.1796 11.2037 52 OCM 2.3006 1.3665 1.8672 0.4979 5.9308 52 LAC 0.3112 0.1601 0.0256 0.0605 0.7587 52 SOIL 0.5917 0.4948 0.2449 0.0402 3.1267 52 SEASALT 0.1986 0.2877 0.0828 0.003 1.4822 52

**Sac and Fox** Sulfate mass fraction 0.276 Nitrate mass fraction 0.379 OC mass fraction 0.287 LAC mass fraction 0.039 Soil mass fraction 0.074 Seasalt mass fraction 0.025 Missing mass fraction -0.079

**Sac and Fox Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.45648 0.172572 -2.64517 0.011 ASULFATE 1.088372 0.054838 19.84696 0 ANO3 1.116444 0.03937428.35493 0 OCM 0.7168630.0859978.335902 0 LAC 0.909421 0.780111 1.165758 0.25 SOIL 1.493532 0.2108757.082557 0

Appendix 1 69DRAFT

SEASALT -0.71985 0.297734 -2.41777 0.02Valid cases: 52 RSquared: 0.989

**San Gabriel Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.3199 2.776 7.7063 0.2334 11.7521 57 RECON 4.0376 3.1099 9.6715 0.5194 13.5645 57 ASULFATE 0.7742 0.5986 0.3584 0.0765 2.396 57 ANO3 1.4469 1.6929 2.8659 0.0355 8.1493 57 OCM 1.1004 0.8969 0.8044 0.1309 4.7511 57 LAC 0.1476 0.1056 0.0112 0.0178 0.4046 57 SOIL 0.4114 0.4692 0.2201 0.0095 2.524 57 SEASALT 0.157 0.1694 0.0287 0.0033 0.9852 57

**San Gabriel** Sulfate mass fraction 0.233 Nitrate mass fraction 0.436 OC mass fraction 0.331 LAC mass fraction 0.044 Soil mass fraction 0.124 Seasalt mass fraction 0.047 Missing mass fraction -0.216

**San Gabriel Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.44879 0.103035 -4.35566 0 ASULFATE 1.3299450.1617798.220747 0 ANO3 0.690872 0.049584 13.93333 0 OCM 0.726054 0.1069786.786969 0 LAC 1.496645 1.04059 1.438266 0.157 SOIL 1.3455370.129778 10.36798 0 SEASALT 1.056826 0.3858772.738762 0.009Valid cases: 57 RSquared: 0.983

San Gorgonio Wilderness **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 7.8201 5.808 33.7326 0.2095 37.4286 732 RECON 8.4948 6.2986 39.6728 0.4026 40.2458 732 ASULFATE 1.4142 1.1047 1.2204 0.0542 5.8629 732 ANO3 3.3612 3.3758 11.3958 0.0035 23.787 732 OCM 2.3978 1.9734 3.8944 -0.0477 15.7741 732 LAC 0.3669 0.2613 0.0683 -0.0123 1.8299 732 SOIL 0.839 0.9507 0.9039 0.0075 9.4119 732 SEASALT 0.1156 0.1493 0.0223 0.0002 1.2093 732

San Gorgonio Wilderness Sulfate mass fraction 0.181 Nitrate mass fraction 0.43 OC mass fraction 0.307 LAC mass fraction 0.047

Appendix 1 70DRAFT

Soil mass fraction 0.107 Seasalt mass fraction 0.015 Missing mass fraction -0.086

San Gorgonio Wilderness **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.1845070.118306 1.559576 0.119 ASULFATE 1.002273 0.09093 11.02246 0 ANO3 0.905591 0.027131 33.37826 0 OCM 0.7056950.066591 10.59739 0 LAC 1.123864 0.4801342.340729 0.02 SOIL 1.073891 0.066498 16.14929 0 SEASALT 1.459754 0.44732 3.263335 0.001 Valid cases: 732 R-Squared: 0.924

**Saguaro National Monument Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 5.8085 2.5965 6.7418 1.0614 21.9907 422 RECON 5.4068 2.2716 5.1603 1.4595 18.1973 422 ASULFATE 1.6385 0.863 0.7447 0.2412 5.3931 422 ANO3 0.4107 0.4559 0.2078 0.0364 4.274 422 OCM 1.4934 0.7734 0.5981 -0.0776 8.881 422 LAC 0.2664 0.1483 0.022 -0.0362 0.9609 422 SOIL 1.4926 1.4088 1.9848 0.0614 10.5795 422 SEASALT 0.1052 0.1387 0.0193 0.0008 1.4596 422

**Saguaro National Monument** Sulfate mass fraction 0.282 Nitrate mass fraction 0.071 OC mass fraction 0.257 LAC mass fraction 0.046 Soil mass fraction 0.257 Seasalt mass fraction 0.018 Missing mass fraction 0.069

**Saguaro National Monument Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.155814 0.14152 1.100998 0.272 ASULFATE 1.238986 0.063593 19.4831 0 ANO3 0.3314490.119541 2.772693 0.006 OCM 0.866574 0.085323 10.15634 0 LAC 1.1345730.423381 2.679795 0.008 SOIL 1.169984 0.03651332.04313 0 SEASALT 1.367323 0.36054 3.792429 0 Valid cases: 422 R-Squared: 0.859

**Saint Marks Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 7.0207 3.5539 12.6301 2.018 17.6715 40 RECON 7.2431 3.7914 14.375 1.6621 20.2976 40

Appendix 1 71DRAFT

ASULFATE 2.6296 1.4905 2.2216 0.6855 7.385 40 ANO3 0.448 0.2404 0.0578 0.0962 1.1791 40 OCM 2.794 2.6232 6.8814 0.4484 13.5439 40 LAC 0.3188 0.316 0.0998 0.0118 1.7464 40 SOIL 0.642 1.4286 2.041 0.0171 8.8201 40 SEASALT 0.4107 0.5383 0.2898 0.008 1.9761 40

**Saint Marks** Sulfate mass fraction 0.375 Nitrate mass fraction 0.064 OC mass fraction 0.398 LAC mass fraction 0.045 Soil mass fraction 0.091 Seasalt mass fraction 0.059 Missing mass fraction -0.032

**Saint Marks Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.02824 0.248851 -0.11347 0.91 ASULFATE 0.8517580.077935 10.92907 0 ANO3 1.4444080.5111172.825984 0.008 OCM 0.7962590.093391 8.526116 0 LAC 0.91132 0.785576 1.160066 0.254 SOIL 1.172191 0.072208 16.23359 0 SEASALT 2.177331 0.210158 10.36043 0Valid cases: 40 RSquared: 0.975

**San Pedro Parks Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.6765 1.7653 3.1163 0.0322 9.7483 84 RECON 2.7981 1.7225 2.9669 -0.1587 10.417 84 ASULFATE 0.8236 0.5278 0.2785 0.0006 3.2178 84 ANO3 0.1598 0.1108 0.0123 0.0084 0.5522 84 OCM 0.9596 0.7725 0.5968 -0.4536 5.3933 84 LAC 0.094 0.0573 0.0033 -0.0062 0.3247 84 SOIL 0.6843 0.8304 0.6896 0.012 4.3273 84 SEASALT 0.0768 0.1499 0.0225 0.001 1.2812 84

**San Pedro Parks** Sulfate mass fraction 0.308 Nitrate mass fraction 0.06 OC mass fraction 0.359 LAC mass fraction 0.035 Soil mass fraction 0.256 Seasalt mass fraction 0.029 Missing mass fraction -0.045

**San Pedro Parks Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.04267 0.081508 -0.52353 0.602 ASULFATE 1.1889570.105409 11.2795 0

Appendix 1 72DRAFT

ANO3 0.6096830.377908 1.613313 0.111 OCM 0.667032 0.095086 7.015069 0 LAC 1.762627 1.0493 1.679811 0.097 SOIL 1.2555570.05184724.21656 0 SEASALT -0.29316 0.246192 -1.19079 0.237Valid cases: 84 RSquared: 0.971

**Saguaro West Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 7.5076 4.6335 21.4696 1.8802 39.4557 115 RECON 7.1181 3.683 13.5645 1.9637 29.1705 115 ASULFATE 1.4273 0.7029 0.4941 0.3008 3.6118 115 ANO3 0.3902 0.2827 0.0799 0.1014 2.4475 115 OCM 1.5598 1.2624 1.5937 0.4536 12.739 115 LAC 0.2388 0.1432 0.0205 0.0342 1.2109 115 SOIL 3.3614 2.87 8.2367 0.3036 24.8699 115 SEASALT 0.1406 0.1915 0.0367 0.0002 1.454 115

**Saguaro West** Sulfate mass fraction 0.19 Nitrate mass fraction 0.052 OC mass fraction 0.208 LAC mass fraction 0.032 Soil mass fraction 0.448 Seasalt mass fraction 0.019 Missing mass fraction 0.052

**Saguaro West Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.19455 0.324418 -0.59969 0.55 ASULFATE 1.301404 0.1516878.579561 0 ANO3 0.6457730.425523 1.517598 0.132 OCM 1.3702050.132102 10.37234 0 LAC -3.51925 1.108552 -3.17464 0.002 SOIL 1.2864880.036361 35.38058 0 SEASALT -0.20502 0.565514 -0.36254 0.718 Valid cases: 115 R-Squared: 0.949

**Sawtooth National Forest Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.5821 2.006 4.0238 0.2815 12.3984 138 RECON 3.0903 2.1793 4.7493 0.6419 12.5809 138 ASULFATE 0.371 0.2335 0.0545 0.013 1.009 138 ANO3 0.0752 0.0502 0.0025 -0.0152 0.2866 138 OCM 2.0893 1.777 3.1577 0.3553 10.5253 138 LAC 0.1643 0.1351 0.0183 0.0152 0.8922 138 SOIL 0.3174 0.4395 0.1932 0.0067 2.4679 138 SEASALT 0.0731 0.1322 0.0175 0.0002 1.3531 138

**Sawtooth National Forest**

Appendix 1 73DRAFT

Sulfate mass fraction 0.144 Nitrate mass fraction 0.029 OC mass fraction 0.809 LAC mass fraction 0.064 Soil mass fraction 0.123 Seasalt mass fraction 0.028 Missing mass fraction -0.197

**Sawtooth National Forest Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.32273 0.099157 -3.25478 0.001 ASULFATE 2.0009380.2211789.046719 0 ANO3 0.548794 1.0063480.545332 0.586 OCM 0.932066 0.047016 19.82453 0 LAC -0.82119 0.591381 -1.3886 0.167 SOIL 0.9918180.117621 8.43231 0 SEASALT -0.08248 0.329795 -0.25009 0.803Valid cases: 138 RSquared: 0.940

**Seney Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.3327 1.4394 2.0718 0.544 8.4741 106 RECON 2.7134 1.6993 2.8876 0.5694 9.5343 106 ASULFATE 1.0365 0.5847 0.3419 0.157 3.6887 106 ANO3 0.2834 0.4808 0.2311 0.0101 4.0454 106 OCM 1.0487 0.9899 0.98 0.0301 6.3337 106 LAC 0.1034 0.0745 0.0055 0 0.3816 106 SOIL 0.142 0.1217 0.0148 0.0079 0.7893 106 SEASALT 0.0994 0.1376 0.0189 0.0003 1.2364 106

**Seney** Sulfate mass fraction 0.444 Nitrate mass fraction 0.121 OC mass fraction 0.45 LAC mass fraction 0.044 Soil mass fraction 0.061 Seasalt mass fraction 0.043 Missing mass fraction -0.163

**Seney Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.06465 0.06564 -0.98491 0.327 ASULFATE 1.0385180.064054 16.21317 0 ANO3 0.687454 0.0786938.735901 0 OCM 0.663974 0.051659 12.85296 0 LAC 2.580178 0.82003 3.146445 0.002 SOIL 0.38422 0.287694 1.335518 0.185 SEASALT 1.0904830.209798 5.19777 0Valid cases: 106 RSquared: 0.962

Appendix 1 74DRAFT

**Sequoia National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 9.1225 8.456 71.5034 0.3401 48.6711 421 RECON 9.7689 8.6076 74.0912 0.7477 61.6901 421 ASULFATE 1.4575 1.2349 1.5251 0.0066 9.0892 421 ANO3 2.1565 3.5491 12.5959 -0.0008 22.0511 421 OCM 4.0017 4.2109 17.7314 0.3179 51.9237 421 LAC 0.4138 0.3148 0.0991 0.0129 2.6999 421 SOIL 1.6545 3.9136 15.3159 0.0107 35.0026 421 SEASALT 0.0849 0.1743 0.0304 0.0002 1.6235 421

**Sequoia National Park** Sulfate mass fraction 0.16 Nitrate mass fraction 0.236 OC mass fraction 0.439 LAC mass fraction 0.045 Soil mass fraction 0.181 Seasalt mass fraction 0.009 Missing mass fraction -0.071

**Sequoia National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.52819 0.165722 -3.18717 0.002 ASULFATE 1.2940190.090369 14.31924 0 ANO3 0.9065270.027689 32.7398 0 OCM 0.7481780.042244 17.7108 0 LAC 2.92693 0.590991 4.952584 0 SOIL 0.983461 0.02672 36.80663 0 SEASALT -0.26464 0.515526 -0.51335 0.608 Valid cases: 421 R-Squared: 0.955

**Shenandoah National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 11.1029 8.228 67.6996 0.0596 47.678 683 RECON 11.0561 7.4346 55.2732 0.1128 41.7727 683 ASULFATE 6.5213 5.7525 33.0916 0.0308 35.3237 683 ANO3 0.7603 0.7575 0.5738 -0.0231 6.5727 683 OCM 2.9277 2.0139 4.0558 -0.1415 11.7767 683 LAC 0.37 0.199 0.0396 0.0122 1.8628 683 SOIL 0.4155 0.3757 0.1412 0.0016 4.3993 683 SEASALT 0.0613 0.0966 0.0093 0.0002 1.4419 683

**Shenandoah National Park** Sulfate mass fraction 0.587 Nitrate mass fraction 0.068 OC mass fraction 0.264 LAC mass fraction 0.033 Soil mass fraction 0.037 Seasalt mass fraction 0.006 Missing mass fraction 0.004

Appendix 1 75DRAFT

**Shenandoah National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.3561750.1494062.383936 0.017 ASULFATE 1.10822 0.014337 77.29657 0 ANO3 0.222714 0.0826242.695517 0.007 OCM 1.095622 0.053865 20.34 0 LAC -0.4678 0.452414 -1.03402 0.301 SOIL 0.873141 0.1758394.965567 0 SEASALT -0.7666 0.618086 -1.24028 0.215 Valid cases: 683 R-Squared: 0.965

**Shining Rock Wilderness Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 8.8735 7.9942 63.907 0.0934 45.6308 249 RECON 8.0885 7.0726 50.0211 0.2839 49.0626 249 ASULFATE 4.7885 4.9762 24.7625 0.005 27.1382 249 ANO3 0.2621 0.2259 0.051 -0.0124 1.7825 249 OCM 2.1985 1.9901 3.9607 0.0988 18.662 249 LAC 0.2462 0.1692 0.0286 -0.0093 1.7649 249 SOIL 0.5484 0.9018 0.8132 0.0007 9.0051 249 SEASALT 0.0447 0.1019 0.0104 0.0003 1.0101

**Shining Rock Wilderness** Sulfate mass fraction 0.54 Nitrate mass fraction 0.03 OC mass fraction 0.248 LAC mass fraction 0.028 Soil mass fraction 0.062 Seasalt mass fraction 0.005 Missing mass fraction 0.088

**Shining Rock Wilderness Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.625252 0.20117 3.108087 0.002 ASULFATE 1.295556 0.03174840.80705 0 ANO3 0.4027570.6510690.618609 0.537 OCM 0.9187 0.118814 7.732279 0 LAC -3.05537 1.313792 -2.32561 0.021 SOIL 1.020646 0.1268778.044368 0 SEASALT 2.496104 1.0581852.358854 0.019 Valid cases: 249 R-Squared: 0.961

**Sierra A ncha**  **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 3.8433 2.5106 6.3031 0.5067 21.6751 145 RECON 4.2299 2.4117 5.8163 1.193 21.1234 145 ASULFATE 0.8895 0.4896 0.2398 0.0453 2.8188 145 ANO3 0.2609 0.2182 0.0476 0.0293 1.8181 145 OCM 1.7781 1.3545 1.8346 0.3265 13.4136 145 LAC 0.1774 0.153 0.0234 0 1.5726 145

Appendix 1 76DRAFT

SOIL 1.0474 0.9835 0.9674 0.0414 5.9301 145 SEASALT 0.0765 0.0695 0.0048 0.0002 0.3649 145

**Sierra A ncha**  Sulfate mass fraction 0.231 Nitrate mass fraction 0.068 OC mass fraction 0.463 LAC mass fraction 0.046 Soil mass fraction 0.273 Seasalt mass fraction 0.02 Missing mass fraction -0.101

**Sierra A ncha**  **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.59359 0.115434 -5.14226 0 ASULFATE 1.25828 0.102305 12.29933 0 ANO3 0.6967690.2726842.555227 0.012 OCM 0.78858 0.061488 12.82485 0 LAC 2.797911 0.5076055.511981 0 SOIL 1.143064 0.0564 20.26725 0 SEASALT 0.521002 0.6606150.788662 0.432 Valid cases: 145 R-Squared: 0.958

**Sikes Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 5.9985 4.02 16.1605 2.1044 19.0828 31 RECON 6.5534 3.7729 14.2351 2.405 17.3548 31 ASULFATE 2.0827 1.8278 3.341 0.4304 8.6219 31 ANO3 0.5304 0.7895 0.6234 0.0935 4.2873 31 OCM 2.815 1.0215 1.0434 1.3025 5.8055 31 LAC 0.2739 0.1329 0.0177 0.0835 0.7782 31 SOIL 0.6903 1.3581 1.8444 0.0528 6.0037 31 SEASALT 0.1611 0.2028 0.0411 0.0058 1.0005 31

**Sikes** Sulfate mass fraction 0.347 Nitrate mass fraction 0.088 OC mass fraction 0.469 LAC mass fraction 0.046 Soil mass fraction 0.115 Seasalt mass fraction 0.027 Missing mass fraction -0.093

**Sikes Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.5246 0.374714 -1.39999 0.174 ASULFATE 1.204996 0.128002 9.413848 0 ANO3 0.520556 0.278459 1.869418 0.074 OCM 1.0977950.149849 7.325985 0 LAC -1.44097 1.921954 -0.74974 0.461 SOIL 1.2510690.123028 10.16899 0

Appendix 1 77DRAFT

SEASALT 1.1054280.723789 1.527279 0.14Valid cases: 31 RSquared: 0.982

**Simeonof Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.3369 2.456 6.0318 0.3603 17.5511 231 RECON 3.035 2.2818 5.2067 0.3385 14.5795 231 ASULFATE 0.8525 0.5967 0.356 0.0014 3.8516 231 ANO3 0.1029 0.0752 0.0057 -0.0273 0.4662 231 OCM 0.66 1.3461 1.8119 -0.283 10.3729 231 LAC 0.0906 0.1535 0.0236 -0.0114 1.2219 231 SOIL 0.151 0.4169 0.1738 0.0035 4.9937 231 SEASALT 1.1779 1.2902 1.6646 0.0133 7.8588 231

**Simeonof** Sulfate mass fraction 0.255 Nitrate mass fraction 0.031 OC mass fraction 0.198 LAC mass fraction 0.027 Soil mass fraction 0.045 Seasalt mass fraction 0.353 Missing mass fraction 0.09

**Simeonof Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.09459 0.071169 -1.3291 0.185 ASULFATE 1.431754 0.091844 15.58892 0 ANO3 1.650072 0.74003 2.229737 0.027 OCM 0.71019 0.035935 19.76297 0 LAC 0.018031 0.311754 0.057838 0.954 SOIL 1.321855 0.0907 14.57388 0 SEASALT 1.164068 0.03023 38.50711 0 Valid cases: 231 R-Squared: 0.950

**Sipsy Wilderness Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 13.3664 6.9582 48.4168 1.1834 42.4342 298 RECON 13.3466 6.6769 44.5813 2.8598 41.7308 298 ASULFATE 7.028 4.9405 24.409 0.5566 31.3408 298 ANO3 0.9047 0.9182 0.8432 0.1085 5.3596 298 OCM 4.0173 2.1266 4.5223 0.4372 12.2362 298 LAC 0.5849 0.2998 0.0899 0.0591 1.642 298 SOIL 0.7389 2.0154 4.0617 0.0478 32.2517 298 SEASALT 0.0728 0.1445 0.0209 0.0007 1.3851 298

**Sipsy Wilderness** Sulfate mass fraction 0.526 Nitrate mass fraction 0.068 OC mass fraction 0.301 LAC mass fraction 0.044

Appendix 1 78DRAFT

Soil mass fraction 0.055 Seasalt mass fraction 0.005 Missing mass fraction 0.001

**Sipsy Wilderness Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 1.3454570.351351 3.829381 0 ASULFATE 1.003026 0.031006 32.34983 0 ANO3 0.1941070.145817 1.331174 0.184 OCM 0.9912770.090436 10.96104 0 LAC -0.00111 0.607856 -0.00182 0.999 SOIL 1.0521490.066373 15.85207 0 SEASALT 0.507191 0.922706 0.549678 0.583 Valid cases: 298 R-Squared: 0.898

Snoqualmie Pass; Snoqualmie National Forest **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 2.9218 2.514 6.3204 0.0301 24.3554 430 RECON 3.1073 2.5626 6.5668 0.1978 21.6016 430 ASULFATE 0.7988 0.5981 0.3577 0.0044 3.2057 430 ANO3 0.3479 0.5383 0.2898 -0.0147 7.2485 430 OCM 1.3708 1.4887 2.2163 -0.0144 9.7664 430 LAC 0.2174 0.1647 0.0271 -0.0091 1.0379 430 SOIL 0.2299 0.7408 0.5488 0.0023 14.0829 430 SEASALT 0.1425 0.272 0.074 0.0002 3.2299 430

Snoqualmie Pass; Snoqualmie National Forest Sulfate mass fraction 0.273 Nitrate mass fraction 0.119 OC mass fraction 0.469 LAC mass fraction 0.074 Soil mass fraction 0.079 Seasalt mass fraction 0.049 Missing mass fraction -0.064

Snoqualmie Pass; Snoqualmie National Forest **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.08713 0.052598 -1.65649 0.098 ASULFATE 1.327741 0.04866427.28364 0 ANO3 0.6401050.056633 11.30271 0 OCM 0.9521390.03033931.38364 0 LAC -0.16645 0.274493 -0.60637 0.545 SOIL 1.225762 0.03613733.91982 0 SEASALT 1.226056 0.096326 12.7282 0 Valid cases: 430 R-Squared: 0.956

**Spokane Reservation Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 9.2957 8.4769 71.8574 1.443 51.6106 83

Appendix 1 79DRAFT

RECON 9.5565 7.0853 50.2009 1.6321 38.0222 83 ASULFATE 0.7442 0.4769 0.2275 0.1575 2.4086 83 ANO3 0.5723 0.745 0.5551 0.0497 3.6651 83 OCM 5.3636 5.0314 25.3147 0.5326 26.9212 83 LAC 0.3853 0.2887 0.0833 0.0174 1.4707 83 SOIL 2.3656 3.61 13.0322 0.0136 21.4072 83 SEASALT 0.1256 0.1179 0.0139 0.0005 0.6557 83

**Spokane Reservation** Sulfate mass fraction 0.08 Nitrate mass fraction 0.062 OC mass fraction 0.577 LAC mass fraction 0.041 Soil mass fraction 0.254 Seasalt mass fraction 0.014 Missing mass fraction -0.028

**Spokane Reservation Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -1.61363 0.410377 -3.93206 0 ASULFATE 0.519554 0.418427 1.241683 0.218 ANO3 0.9807590.289022 3.393369 0.001 OCM 0.8025630.073476 10.92287 0 LAC 3.674623 1.345967 2.7301 0.008 SOIL 1.696732 0.05885728.82813 0 SEASALT 1.810552 1.486342 1.218126 0.227Valid cases: 83 RSquared: 0.968

**Starkey Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.0539 4.3761 19.1505 0.1143 27.8325 156 RECON 4.6414 5.4568 29.7764 0.3581 50.1233 156 ASULFATE 0.5017 0.3484 0.1214 0.014 1.6097 156 ANO3 0.2245 0.2604 0.0678 -0.0021 1.5385 156 OCM 2.9657 4.7311 22.3834 -0.5929 46.303 156 LAC 0.2292 0.287 0.0824 0 2.1981 156 SOIL 0.56 1.1196 1.2535 0.0019 10.0702 156 SEASALT 0.1603 0.2805 0.0787 0.0002 1.3745 156

**Starkey** Sulfate mass fraction 0.124 Nitrate mass fraction 0.055 OC mass fraction 0.732 LAC mass fraction 0.057 Soil mass fraction 0.138 Seasalt mass fraction 0.04 Missing mass fraction -0.145

**Starkey Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.00592 0.137909 -0.04292 0.966

Appendix 1 80DRAFT

ASULFATE 1.60618 0.232841 6.898175 0 ANO3 0.781474 0.3140842.488103 0.014 OCM 0.6161030.033827 18.21358 0 LAC 1.395851 0.5469482.552073 0.012 SOIL 1.695594 0.070851 23.93194 0 SEASALT -0.11272 0.2573 -0.4381 0.662 Valid cases: 156 R-Squared: 0.961

Sula (Selway Bitteroot Wilderness) **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 2.5699 3.7589 14.1292 -0.0609 30.9918 153 RECON 2.9881 4.3507 18.9285 0.2704 34.5871 153 ASULFATE 0.4364 0.3055 0.0933 0.0312 1.653 153 ANO3 0.1249 0.123 0.0151 -0.0597 1.104 153 OCM 1.8363 3.8394 14.7408 0.0223 31.3709 153 LAC 0.1281 0.1679 0.0282 0 1.2441 153 SOIL 0.3693 0.5018 0.2518 0.0061 3.6822 153 SEASALT 0.093 0.208 0.0433 0.0002 1.4175 153

Sula (Selway Bitteroot Wilderness) Sulfate mass fraction 0.17 Nitrate mass fraction 0.049 OC mass fraction 0.715 LAC mass fraction 0.05 Soil mass fraction 0.144 Seasalt mass fraction 0.036 Missing mass fraction -0.163

Sula (Selway Bitteroot Wilderness) **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.05574 0.062334 -0.89415 0.373 ASULFATE 1.334522 0.131195 10.17204 0 ANO3 0.488861 0.289913 1.686234 0.094 OCM 0.895971 0.02319338.63118 0 LAC -0.60992 0.539002 -1.13156 0.26 SOIL 1.162334 0.074904 15.51775 0 SEASALT -0.15338 0.1559 -0.98384 0.327 Valid cases: 153 R-Squared: 0.990

**Swanquarter Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.4194 2.8138 7.9175 0.5459 14.5894 90 RECON 4.6112 2.7071 7.3286 0.8522 16.2746 90 ASULFATE 2.0332 1.4149 2.002 0.1829 7.3274 90 ANO3 0.4327 0.3046 0.0928 0.0476 1.6169 90 OCM 1.2229 1.2305 1.514 0.1321 9.9189 90 LAC 0.1186 0.1075 0.0116 0 0.5102 90 SOIL 0.2827 0.5629 0.3169 0.0021 4.3959 90 SEASALT 0.5211 0.6392 0.4086 0.0002 3.3887 90

Appendix 1 81DRAFT

**Swanquarter** Sulfate mass fraction 0.46 Nitrate mass fraction 0.098 OC mass fraction 0.277 LAC mass fraction 0.027 Soil mass fraction 0.064 Seasalt mass fraction 0.118 Missing mass fraction -0.043

**Swanquarter Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.16426 0.136754 -1.2011 0.233 ASULFATE 1.332462 0.06364320.93664 0 ANO3 -0.07592 0.318132 -0.23866 0.812 OCM 0.938041 0.087717 10.6939 0 LAC -2.03489 1.058838 -1.92181 0.058 SOIL 1.4659830.120881 12.12744 0 SEASALT 1.1266670.1148339.811343 0Valid cases: 90 RSquared: 0.955

**Sycamore Canyon Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 6.4159 5.1192 26.2059 0.5762 26.2963 192 RECON 6.5198 5.0018 25.0177 1.1415 25.7697 192 ASULFATE 0.8211 0.4739 0.2246 0.07 2.6069 192 ANO3 0.2311 0.146 0.0213 -0.0154 0.7744 192 OCM 1.9751 1.6749 2.8052 0.2396 14.2124 192 LAC 0.2566 0.1839 0.0338 0.0057 1.2267 192 SOIL 3.1546 3.9932 15.9454 0.0171 19.8973 192 SEASALT 0.0811 0.1477 0.0218 0.0005 1.1856 192

**Sycamore Canyon** Sulfate 0.128 Nitrate 0.036 OC 0.308 LAC 0.04 Soil 0.492 seasalt 0.013 Missing -0.016

**Sycamore Canyon Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.03194 0.177929 -0.17952 0.858 ASULFATE 1.321276 0.1562538.456024 0 ANO3 2.202583 0.52361 4.206529 0 OCM 0.886456 0.068037 13.02898 0 LAC -0.47024 0.577386 -0.81442 0.416 SOIL 1.0310690.018966 54.36498 0 SEASALT -0.35715 0.46574 -0.76685 0.444

Appendix 1 82DRAFT

Valid cases: 192 R-Squared: 0.970

**Tallgrass Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 7.5344 10.5196 110.6622 1.4141 59.1441 30 RECON 8.6948 14.6919 215.853 1.9867 83.9241 30 ASULFATE 1.8513 1.6042 2.5733 0.356 5.9267 30 ANO3 1.5445 2.3988 5.7541 0.0543 11.7193 30 OCM 4.2783 11.994 143.8567 0.5879 67.226 30 LAC 0.2839 0.3664 0.1343 0.0656 2.0895 30 SOIL 0.654 0.6076 0.3691 0.1044 3.2284 30 SEASALT 0.0828 0.0693 0.0048 0.0027 0.2342 30

**Tallgrass** Sulfate mass fraction 0.246 Nitrate mass fraction 0.205 OC mass fraction 0.568 LAC mass fraction 0.038 Soil mass fraction 0.087 Seasalt mass fraction 0.011 Missing mass fraction -0.154

**Tallgrass Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.6076 0.312936 -1.94162 0.065 ASULFATE 1.225154 0.097655 12.54574 0 ANO3 0.869152 0.087142 9.973944 0 OCM 0.631942 0.044707 14.13534 0 LAC 1.501191 1.585021 0.947111 0.353 SOIL 1.8204490.247934 7.342473 0 SEASALT 2.549048 1.794259 1.420669 0.169Valid cases: 30 RSquared: 0.997

**Thunder Basin Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.2655 4.0578 16.4658 0.4688 24.1477 55 RECON 4.57 4.2823 18.3382 0.9237 26.3191 55 ASULFATE 0.8263 0.5784 0.3345 0.1974 3.4174 55 ANO3 0.2431 0.2547 0.0649 0.0307 1.1749 55 OCM 2.3419 3.5186 12.3806 0.4081 22.0945 55 LAC 0.1822 0.1885 0.0355 0.011 1.1666 55 SOIL 0.8774 0.5757 0.3314 0.1019 2.6195 55 SEASALT 0.0991 0.1042 0.0109 0.0018 0.5614 55

**Thunder Basin** Sulfate mass fraction 0.194 Nitrate mass fraction 0.057 OC mass fraction 0.549 LAC mass fraction 0.043 Soil mass fraction 0.206

Appendix 1 83DRAFT

Seasalt mass fraction 0.023 Missing mass fraction -0.071

**Thunder Basin Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.20617 0.106027 -1.94448 0.058 ASULFATE 1.152924 0.084683 13.61456 0 ANO3 0.554904 0.1996332.779622 0.008 OCM 0.931346 0.04167722.34695 0 LAC 0.79026 0.755664 1.045782 0.301 SOIL 1.28687 0.083769 15.36212 0 SEASALT -0.70693 0.509001 -1.38885 0.171Valid cases: 55 RSquared: 0.995

**Theodore Roosevelt Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.7719 2.7984 7.8309 0.6546 20.2216 135 RECON 4.0241 2.6911 7.2421 0.8628 20.7166 135 ASULFATE 1.0979 0.7276 0.5294 0.1945 3.8106 135 ANO3 0.5399 0.5785 0.3347 0.0267 2.6707 135 OCM 1.4125 1.9429 3.775 0.0815 15.1033 135 LAC 0.1638 0.1125 0.0126 0.0232 0.6978 135 SOIL 0.7132 0.722 0.5213 0.0856 3.9321 135 SEASALT 0.0967 0.1607 0.0258 0.0005 1.1818 135

**Theodore Roosevelt** Sulfate mass fraction 0.291 Nitrate mass fraction 0.143 OC mass fraction 0.374 LAC mass fraction 0.043 Soil mass fraction 0.189 Seasalt mass fraction 0.026 Missing mass fraction -0.067

**Theodore Roosevelt Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.30711 0.096449 -3.18422 0.002 ASULFATE 1.162741 0.05711620.35756 0 ANO3 0.781271 0.073746 10.59414 0 OCM 0.990151 0.03752 26.39017 0 LAC 1.1794090.639467 1.844362 0.067 SOIL 1.081174 0.059252 18.24697 0 SEASALT 0.1829990.235942 0.775607 0.439 Valid cases: 135 R-Squared: 0.977

**Three Sisters Wilderness Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.9632 3.1323 9.8113 0.0302 24.1844 544 RECON 3.0432 3.6129 13.0529 -0.0341 43.1361 544 ASULFATE 0.5894 0.5183 0.2686 0.003 2.9884 544

Appendix 1 84DRAFT

ANO3 0.1522 0.1843 0.034 -0.0508 1.6525 544 OCM 1.7761 2.8972 8.3936 -0.1193 39.4045 544 LAC 0.1569 0.1886 0.0356 -0.0155 2.2532 544 SOIL 0.249 0.3474 0.1207 0.0007 2.7172 544 SEASALT 0.1196 0.1875 0.0352 0.0002 1.5529 544

**Three Sisters Wilderness** Sulfate mass fraction 0.199 Nitrate mass fraction 0.051 OC mass fraction 0.599 LAC mass fraction 0.053 Soil mass fraction 0.084 Seasalt mass fraction 0.04 Missing mass fraction -0.027

**Three Sisters Wilderness Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.0895570.060112 1.489842 0.137 ASULFATE 1.750836 0.095577 18.31858 0 ANO3 0.5751430.246738 2.33099 0.02 OCM 0.7121390.029091 24.47943 0 LAC 0.2808950.482392 0.582296 0.561 SOIL 1.522476 0.126442 12.04094 0 SEASALT 0.5529590.1891462.923457 0.004 Valid cases: 544 R-Squared: 0.937

**Tonto National Monument Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.9667 2.5572 6.5394 0.5573 31.5773 806 RECON 4.8151 2.1791 4.7484 0.7298 21.7655 806 ASULFATE 1.4018 0.7302 0.5332 0.0017 4.7035 806 ANO3 0.3311 0.3141 0.0986 -0.0471 3.8388 806 OCM 1.7209 1.1838 1.4015 -0.3636 13.3889 806 LAC 0.2306 0.1456 0.0212 -0.0119 1.4657 806 SOIL 1.0577 0.9536 0.9094 0.0268 9.5987 806 SEASALT 0.0731 0.0964 0.0093 0.0003 0.7116 806

**Tonto National Monument** Sulfate mass fraction 0.282 Nitrate mass fraction 0.067 OC mass fraction 0.346 LAC mass fraction 0.046 Soil mass fraction 0.213 Seasalt mass fraction 0.015 Missing mass fraction 0.031

**Tonto National Monument Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.07335 0.109501 -0.66989 0.503 ASULFATE 1.172094 0.05643220.77007 0 ANO3 0.671666 0.1307295.137843 0

Appendix 1 85DRAFT

OCM 1.065746 0.05161920.64624 0 LAC 0.4985880.415832 1.199015 0.231 SOIL 1.089646 0.04623323.56834 0 SEASALT 1.0006680.4358952.295661 0.022 Valid cases: 806 R-Squared: 0.811

**Trapper Creek Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 1.2254 1.0714 1.1479 0.155 6.488 125 RECON 1.1993 1.0893 1.1865 0.0032 5.55 125 ASULFATE 0.301 0.2612 0.0682 0.0202 1.3465 125 ANO3 0.0697 0.1691 0.0286 -0.0366 1.8115 125 OCM 0.5513 0.747 0.558 -0.153 4.4276 125 LAC 0.0565 0.0561 0.0032 0 0.3532 125 SOIL 0.1114 0.2072 0.0429 0.0022 1.6724 125 SEASALT 0.1095 0.1801 0.0324 0.0005 1.3086 125

**Trapper Creek** Sulfate mass fraction 0.246 Nitrate mass fraction 0.057 OC mass fraction 0.45 LAC mass fraction 0.046 Soil mass fraction 0.091 Seasalt mass fraction 0.089 Missing mass fraction 0.021

**Trapper Creek Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.1083880.0382252.835554 0.005 ASULFATE 1.586444 0.100581 15.77282 0 ANO3 -0.10514 0.163802 -0.64186 0.522 OCM 1.06115 0.04271924.84003 0 LAC -0.9216 0.538139 -1.71256 0.089 SOIL 0.6243890.114004 5.476897 0 SEASALT 0.404475 0.14796 2.733683 0.007 Valid cases: 125 R-Squared: 0.956

**Trinity Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.8678 3.5761 12.7885 0.1246 35.3281 128 RECON 3.2627 4.9175 24.1818 0.2053 53.222 128 ASULFATE 0.4582 0.3473 0.1206 0.025 1.6633 128 ANO3 0.1487 0.1893 0.0359 -0.0356 1.4543 128 OCM 1.9772 4.4182 19.5207 -0.0167 48.4587 128 LAC 0.1502 0.238 0.0567 -0.0031 2.5411 128 SOIL 0.3874 0.5672 0.3217 0 3.1046 128 SEASALT 0.1411 0.2479 0.0614 0.0003 2.2915 128

**Trinity** Sulfate mass fraction 0.16

Appendix 1 86DRAFT

Nitrate mass fraction 0.052 OC mass fraction 0.689 LAC mass fraction 0.052 Soil mass fraction 0.135 Seasalt mass fraction 0.049 Missing mass fraction -0.138

**Trinity Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.19892 0.104193 -1.90918 0.059 ASULFATE 2.082592 0.205822 10.11841 0 ANO3 0.7460980.3363362.218307 0.028 OCM 0.642026 0.05661 11.34123 0 LAC 0.940467 1.0646450.883362 0.379 SOIL 1.1520130.121981 9.444162 0 SEASALT 1.025274 0.2264084.528426 0 Valid cases: 128 R-Squared: 0.972

**Tuxedni Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 1.9327 1.6348 2.6726 -0.0926 7.8557 156 RECON 2.0307 2.548 6.4925 0.1093 27.1346 156 ASULFATE 0.4949 0.4112 0.1691 0.0015 1.9268 156 ANO3 0.1137 0.2221 0.0493 -0.0172 2.6249 156 OCM 0.8308 2.2152 4.907 -0.2039 26.6225 156 LAC 0.0555 0.0725 0.0053 -0.0092 0.5093 156 SOIL 0.0882 0.106 0.0112 0.0021 0.9233 156 SEASALT 0.4476 0.8546 0.7303 0.0003 4.9428 156

**Tuxedni** Sulfate mass fraction 0.256 Nitrate mass fraction 0.059 OC mass fraction 0.43 LAC mass fraction 0.029 Soil mass fraction 0.046 Seasalt mass fraction 0.232 Missing mass fraction -0.051

**Tuxedni Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.217602 0.087087 2.49866 0.014 ASULFATE 2.1965470.160982 13.64472 0 ANO3 -0.57982 0.234704 -2.47043 0.015 OCM 0.0653590.0246822.648001 0.009 LAC 3.0881080.7929553.894431 0 SOIL 0.001906 0.57076 0.003339 0.997 SEASALT 1.0460580.063373 16.50624 0 Valid cases: 156 R-Squared: 0.854

**UL Bend**

Appendix 1 87DRAFT

**Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 3.3306 3.822 14.6078 0.1177 33.3249 151 RECON 3.4385 3.8939 15.1625 0.3321 34.1216 151 ASULFATE 0.8111 0.5729 0.3282 0.0382 3.1983 151 ANO3 0.2946 0.5671 0.3216 -0.0148 3.5221 151 OCM 1.6015 3.1234 9.7556 0.1136 28.2974 151 LAC 0.1283 0.1571 0.0247 0.003 1.1313 151 SOIL 0.5173 0.7286 0.5308 0.0108 5.4285 151 SEASALT 0.0856 0.0709 0.005 0.0003 0.3365 151

**UL Bend** Sulfate mass fraction 0.244 Nitrate mass fraction 0.088 OC mass fraction 0.481 LAC mass fraction 0.039 Soil mass fraction 0.155 Seasalt mass fraction 0.026 Missing mass fraction -0.032

**UL Bend Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.098531 0.105006 0.938339 0.35 ASULFATE 0.865686 0.098654 8.774952 0 ANO3 0.9228630.091087 10.13169 0 OCM 0.96217 0.048327 19.90969 0 LAC 0.8632630.9574780.901601 0.369 SOIL 1.1690330.077659 15.05352 0 SEASALT 0.0175050.7073690.024747 0.98 Valid cases: 151 R-Squared: 0.978

**Upper Buffalo Wilderness Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 10.1273 6.7926 46.1396 0.0594 60.6875 477 RECON 10.1428 6.3614 40.4668 0.1343 50.8738 477 ASULFATE 4.7072 4.4199 19.5354 0.001 42.9846 477 ANO3 1.0887 1.2496 1.5616 0.0026 9.2619 477 OCM 3.163 2.0144 4.058 -0.2684 15.9113 477 LAC 0.3306 0.1732 0.03 0.0029 1.1667 477 SOIL 0.7941 1.9114 3.6535 0.0018 29.2636 477 SEASALT 0.0592 0.1101 0.0121 0.0003 1.7711 477

**Upper Buffalo Wilderness** Sulfate mass fraction 0.465 Nitrate mass fraction 0.108 OC mass fraction 0.312 LAC mass fraction 0.033 Soil mass fraction 0.078 Seasalt mass fraction 0.006 Missing mass fraction -0.002

**Upper Buffalo Wilderness**

Appendix 1 88DRAFT

**Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT 0.06511 0.1289850.504791 0.614 ASULFATE 1.1023630.014848 74.24316 0 ANO3 0.6673180.044943 14.84813 0 OCM 1.07815 0.04760522.64778 0 LAC -0.10568 0.517971 -0.20403 0.838 SOIL 0.881614 0.02915730.23632 0 SEASALT 1.204726 0.4838462.489897 0.013 Valid cases: 477 R-Squared: 0.971

**Virgin Islands National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 7.2406 5.3367 28.4803 0.785 35.8223 410 RECON 5.5839 4.287 18.3787 0.8718 25.6652 410 ASULFATE 1.1218 0.4595 0.2111 0.0072 3.6767 410 ANO3 0.2579 0.1992 0.0397 -0.016 1.6664 410 OCM 0.6605 0.6954 0.4836 -0.1658 5.1503 410 LAC 0.0796 0.1302 0.0169 -0.0101 1.5821 410 SOIL 2.4907 3.5299 12.4601 0.0294 20.2458 410 SEASALT 0.9735 0.9282 0.8615 0.0012 5.1857 410

**Virgin Islands National Park** Sulfate mass fraction 0.155 Nitrate mass fraction 0.036 OC mass fraction 0.091 LAC mass fraction 0.011 Soil mass fraction 0.344 Seasalt mass fraction 0.134 Missing mass fraction 0.229

**Virgin Islands National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 1.306972 0.2161556.046469 0 ASULFATE 1.6045730.180434 8.892841 0 ANO3 -0.96947 0.502614 -1.92885 0.054 OCM -0.40383 0.136722 -2.95365 0.003 LAC 2.442771 0.723024 3.378548 0.001 SOIL 1.343424 0.02517553.36301 0 SEASALT 1.14023 0.094811 12.02633 0 Valid cases: 410 R-Squared: 0.920

**Viking Lake Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 10.6222 9.1691 84.0731 2.9161 69.7585 78 RECON 11.2003 10.3803 107.7507 3.0696 85.1605 78 ASULFATE 2.9802 3.0163 9.0978 0.3781 21.494 78 ANO3 3.9162 3.6053 12.9981 0.1478 18.122 78 OCM 3.0536 7.6224 58.1004 0.6439 68.5323 78 LAC 0.3952 0.4662 0.2174 0.0902 4.1478 78 SOIL 0.665 0.643 0.4135 0.0341 4.4131 78

Appendix 1 89DRAFT

SEASALT 0.19 0.1746 0.0305 0.0023 0.8883 78

**Viking Lake** Sulfate mass fraction 0.281 Nitrate mass fraction 0.369 OC mass fraction 0.287 LAC mass fraction 0.037 Soil mass fraction 0.063 Seasalt mass fraction 0.018 Missing mass fraction -0.054

**Viking Lake Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.11073 0.288518 -0.3838 0.702 ASULFATE 1.07123 0.05188220.64758 0 ANO3 1.017441 0.03571 28.49185 0 OCM 0.705781 0.064163 10.99981 0 LAC 2.478279 1.066711 2.323289 0.023 SOIL 0.655931 0.2372832.764335 0.007 SEASALT -0.07853 0.705331 -0.11134 0.912Valid cases: 78 RSquared: 0.989

Voyageurs National Park 2 **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 3.4779 2.5584 6.5452 0.2551 18.286 170 RECON 3.8443 2.4969 6.2347 0.823 16.7987 170 ASULFATE 1.1999 0.6966 0.4853 0.19 3.9009 170 ANO3 0.8218 1.3639 1.8602 -0.016 9.0812 170 OCM 1.3461 0.9378 0.8795 0.1361 5.6079 170 LAC 0.1397 0.0881 0.0078 0.013 0.6184 170 SOIL 0.1792 0.1508 0.0227 0.0047 1.2168 170 SEASALT 0.1576 0.3639 0.1324 0.0003 4.0522 170

Voyageurs National Park 2 Sulfate mass fraction 0.345 Nitrate mass fraction 0.236 OC mass fraction 0.387 LAC mass fraction 0.04 Soil mass fraction 0.052 Seasalt mass fraction 0.045 Missing mass fraction -0.105

Voyageurs National Park 2 **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.42415 0.074152 -5.71997 0 ASULFATE 1.2180980.05901520.64033 0 ANO3 1.008711 0.02859535.27564 0 OCM 1.015741 0.061036 16.64171 0 LAC -0.27736 0.721466 -0.38444 0.701 SOIL 0.799352 0.271167 2.94782 0.004

Appendix 1 90DRAFT

SEASALT 0.88669 0.090012 9.850755 0 Valid cases: 170 R-Squared: 0.974

**Washington DC Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 16.2858 7.9396 63.0372 3.1789 54.6316 857 RECON 16.4986 7.4845 56.0181 4.0349 43.7433 857 ASULFATE 6.6779 4.4098 19.4461 1.0461 31.6571 857 ANO3 2.3147 2.029 4.1167 0.1042 14.8928 857 OCM 5.1626 2.9186 8.518 1.1462 25.4176 857 LAC 1.3431 0.8056 0.649 0.2592 5.6298 857 SOIL 0.705 0.4501 0.2026 0.082 5.6682 857 SEASALT 0.2954 0.4046 0.1637 0.0007 3.2372 857

**Washington DC** Sulfate mass fraction 0.41 Nitrate mass fraction 0.142 OC mass fraction 0.317 LAC mass fraction 0.082 Soil mass fraction 0.043 Seasalt mass fraction 0.018 Missing mass fraction -0.013

**Washington DC Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.35445 0.186142 -1.90417 0.057 ASULFATE 1.157384 0.01833363.13071 +DEN ANO3 0.816699 0.04599 17.75822 0 OCM 0.944174 0.03945423.93109 0 LAC 0.874064 0.1294476.752311 0 SOIL 1.03628 0.185202 5.595391 0 SEASALT 0.8196080.2116053.873294 0 Valid cases: 857 R-Squared: 0.927

Weminuche Wilderness **Variable Me** **an Std Dev**  **Variance Minimum** **Ma ximum**  **Valid** FM 2.7962 2.0318 4.1282 0.1781 30.6395 792 RECON 2.6977 1.7981 3.2333 0.1207 31.1107 792 ASULFATE 0.7783 0.4894 0.2395 0.0096 3.6218 792 ANO3 0.1185 0.1279 0.0164 -0.0275 2.3193 792 OCM 1.0333 1.0356 1.0725 0.0166 21.0474 792 LAC 0.1624 0.1004 0.0101 -0.0135 0.9433 792 SOIL 0.5571 0.7069 0.4998 0.0185 11.9192 792 SEASALT 0.0482 0.0901 0.0081 0.0002 1.8793 792

Weminuche Wilderness Sulfate mass fraction 0.278 Nitrate mass fraction 0.042 OC mass fraction 0.37 LAC mass fraction 0.058

Appendix 1 91DRAFT

Soil mass fraction 0.199 Seasalt mass fraction 0.017 Missing mass fraction 0.035

Weminuche Wilderness **Variable Estimate** **Std Error t-value**  **Prob>|t|** CONSTANT -0.11925 0.05486 -2.17375 0.03 ASULFATE 1.4128 0.052821 26.74676 0 ANO3 0.770307 0.25703 2.996955 0.003 OCM 0.9338750.03584426.05391 0 LAC 0.6193030.322623 1.919589 0.055 SOIL 1.2075480.039886 30.27516 0 SEASALT -0.28255 0.260045 -1.08654 0.278 Valid cases: 792 R-Squared: 0.896

**White Mountain Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.5852 3.7083 13.7512 0.6256 25.2001 100 RECON 4.2526 3.0761 9.4624 0.4821 18.9455 100 ASULFATE 1.3027 0.9785 0.9574 0.1542 6.2584 100 ANO3 0.3006 0.6835 0.4672 -0.0155 5.4165 100 OCM 1.1416 0.9538 0.9097 0.1188 8.7876 100 LAC 0.1034 0.0628 0.0039 0.012 0.4639 100 SOIL 1.3118 1.6907 2.8584 0.0493 9.3629 100 SEASALT 0.0924 0.0975 0.0095 0.0012 0.5252 100

**White Mountain** Sulfate mass fraction 0.284 Nitrate mass fraction 0.066 OC mass fraction 0.249 LAC mass fraction 0.023 Soil mass fraction 0.286 Seasalt mass fraction 0.02 Missing mass fraction 0.073

**White Mountain Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.0754970.145802 0.517802 0.606 ASULFATE 1.2314270.085249 14.44514 0 ANO3 1.035676 0.090972 11.3845 0 OCM 1.2146950.119553 10.16029 0 LAC -5.45184 1.856503 -2.93662 0.004 SOIL 1.2259550.057141 21.45507 0 SEASALT 1.764904 0.7401422.384547 0.019 Valid cases: 100 R-Squared: 0.976

**White Pass Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 1.7344 2.0827 4.3378 -0.0978 16.8034 162 RECON 1.7927 2.2909 5.248 0.0008 19.1758 162

Appendix 1 92DRAFT

ASULFATE 0.4165 0.3504 0.1228 0.0082 1.7656 162 ANO3 0.1315 0.2039 0.0416 -0.0006 1.7801 162 OCM 0.8166 1.6762 2.8095 -0.1845 15.9404 162 LAC 0.0756 0.1022 0.0105 -0.0036 0.8477 162 SOIL 0.2288 0.5195 0.2699 0 3.8276 162 SEASALT 0.1236 0.2145 0.046 0.0003 1.6364 162

**White Pass** Sulfate mass fraction 0.24 Nitrate mass fraction 0.076 OC mass fraction 0.471 LAC mass fraction 0.044 Soil mass fraction 0.132 Seasalt mass fraction 0.071 Missing mass fraction -0.034

**White Pass Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT 0.142594 0.04386 3.251122 0.001 ASULFATE 1.1262630.108589 10.37183 0 ANO3 0.958504 0.1729155.543215 0 OCM 0.871426 0.03980221.89379 0 LAC 0.257526 0.6765630.380639 0.704 SOIL 1.085751 0.05711 19.01159 0 SEASALT 0.138064 0.129842 1.063325 0.289 Valid cases: 162 R-Squared: 0.975

**Wheeler Peak Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.2849 2.159 4.6612 0.0325 18.8318 135 RECON 2.4129 2.285 5.2212 0.2535 21.4395 135 ASULFATE 0.5639 0.3603 0.1298 0.0877 2.0653 135 ANO3 0.1742 0.2097 0.044 0.0088 2.204 135 OCM 0.9412 1.5154 2.2965 0.0135 15.1562 135 LAC 0.1152 0.1881 0.0354 0.0046 1.4939 135 SOIL 0.5266 0.5545 0.3075 0.0231 2.7119 135 SEASALT 0.0918 0.1367 0.0187 0.0002 1.2621 135

**Wheeler Peak** Sulfate mass fraction 0.247 Nitrate mass fraction 0.076 OC mass fraction 0.412 LAC mass fraction 0.05 Soil mass fraction 0.23 Seasalt mass fraction 0.04 Missing mass fraction -0.056

**Wheeler Peak Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.04043 0.061501 -0.6573 0.512 ASULFATE 1.0539480.090548 11.63969 0

Appendix 1 93DRAFT

ANO3 0.186451 0.2485930.750024 0.455 OCM 0.9244490.04026322.96038 0 LAC 0.865432 0.2425653.567838 0.001 SOIL 1.3105450.06063821.61253 0 SEASALT 0.421012 0.218089 1.930461 0.056 Valid cases: 135 R-Squared: 0.977

**White River National Forest Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.3421 3.8486 14.8114 0.1197 43.7748 158 RECON 2.3601 3.7192 13.8326 0.1519 42.921 158 ASULFATE 0.5864 0.3569 0.1273 0.0631 2.2674 158 ANO3 0.1424 0.2519 0.0634 0.0086 3.0323 158 OCM 0.8881 1.9384 3.7574 -0.1633 22.4082 158 LAC 0.0934 0.1444 0.0209 -0.0056 1.7489 158 SOIL 0.5604 1.6083 2.5867 0.0066 14.7759 158 SEASALT 0.0894 0.0768 0.0059 0.0002 0.3758 158

**White River National Forest** Sulfate mass fraction 0.25 Nitrate mass fraction 0.061 OC mass fraction 0.379 LAC mass fraction 0.04 Soil mass fraction 0.239 Seasalt mass fraction 0.038 Missing mass fraction -0.008

**White River National Forest Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.17596 0.052349 -3.36132 0.001 ASULFATE 1.170451 0.069513 16.83796 0 ANO3 0.756582 0.246825 3.06525 0.003 OCM 0.909222 0.04483320.28027 0 LAC 1.2023680.653566 1.839704 0.068 SOIL 1.201276 0.02509947.86068 0 SEASALT 1.465573 0.31026 4.723692 0 Valid cases: 158 R-Squared: 0.994

**Wind Cave Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.9824 2.8505 8.1253 0.5708 13.1313 96 RECON 3.1293 2.7435 7.5268 0.7742 13.158 96 ASULFATE 0.871 0.6688 0.4474 0.182 3.4846 96 ANO3 0.1828 0.2616 0.0684 -0.0055 2.3971 96 OCM 1.4264 2.0173 4.0696 0.2237 10.7188 96 LAC 0.1181 0.0934 0.0087 0.0267 0.6115 96 SOIL 0.4572 0.397 0.1576 0.0084 2.4775 96 SEASALT 0.0739 0.0825 0.0068 0.0015 0.4348 96

**Wind Cave**

Appendix 1 94DRAFT

Sulfate mass fraction 0.292 Nitrate mass fraction 0.061 OC mass fraction 0.478 LAC mass fraction 0.04 Soil mass fraction 0.153 Seasalt mass fraction 0.025 Missing mass fraction -0.049

**Wind Cave Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.14213 0.094049 -1.5112 0.134 ASULFATE 1.062716 0.082864 12.8248 0 ANO3 0.4547650.1698572.677341 0.009 OCM 1.02654 0.04696 21.8599 0 LAC 0.416407 1.015901 0.409889 0.683 SOIL 1.303616 0.136912 9.521562 0 SEASALT 0.086061 0.5436750.158295 0.875Valid cases: 96 RSquared: 0.980

**Wichita Mountains Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 5.6145 3.8968 15.185 1.1135 17.4839 59 RECON 5.9803 3.8235 14.6191 1.3214 16.5905 59 ASULFATE 1.7297 1.2985 1.6861 0.2938 5.3766 59 ANO3 1.5681 2.1134 4.4665 0.0724 7.1634 59 OCM 1.7617 0.9509 0.9043 0.4241 4.887 59 LAC 0.229 0.1259 0.0158 0.0407 0.505 59 SOIL 0.6017 0.6099 0.372 0.0067 4.0149 59 SEASALT 0.0901 0.0959 0.0092 0.0005 0.6658 59

**Wichita Mountains** Sulfate mass fraction 0.308 Nitrate mass fraction 0.279 OC mass fraction 0.314 LAC mass fraction 0.041 Soil mass fraction 0.107 Seasalt mass fraction 0.016 Missing mass fraction -0.065

**Wichita Mountains Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.33165 0.136023 -2.43816 0.018 ASULFATE 1.0980890.078607 13.96935 0 ANO3 0.9725890.04391322.14794 0 OCM 0.747461 0.1246585.996108 0 LAC 1.9732080.9707462.032672 0.047 SOIL 1.48775 0.122727 12.12239 0 SEASALT -1.57833 0.674659 -2.33945 0.023Valid cases: 59 RSquared: 0.988

Appendix 1 95DRAFT

**Yellowstone National Park 2 Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 2.906 2.7063 7.3241 0.1536 17.7469 275 RECON 3.0483 2.564 6.5739 0.4273 18.2014 275 ASULFATE 0.5792 0.2939 0.0864 0.1046 1.754 275 ANO3 0.1834 0.1914 0.0366 0.0008 1.8924 275 OCM 1.5732 1.9449 3.7826 0.1197 14.0598 275 LAC 0.1191 0.1366 0.0187 0 1.0189 275 SOIL 0.5274 0.8501 0.7226 0.0068 7.7238 275 SEASALT 0.0661 0.0761 0.0058 0.0005 0.5531 275

**Yellowstone National Park 2** Sulfate mass fraction 0.199 Nitrate mass fraction 0.063 OC mass fraction 0.541 LAC mass fraction 0.041 Soil mass fraction 0.181 Seasalt mass fraction 0.023 Missing mass fraction -0.049

**Yellowstone National Park 2 Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.16732 0.080387 -2.08149 0.038 ASULFATE 1.11889 0.1296878.627597 0 ANO3 0.622842 0.182988 3.40373 0.001 OCM 0.8552080.048304 17.70462 0 LAC 2.568531 0.6947433.697097 0 SOIL 1.3026390.042594 30.58285 0 SEASALT -0.41235 0.437621 -0.94225 0.347 Valid cases: 275 R-Squared: 0.960

**Yosemite National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 4.6415 3.8506 14.8272 0.2706 40.3325 825 RECON 4.7436 3.9305 15.4488 0.3216 42.5152 825 ASULFATE 0.9361 0.7182 0.5158 0.0227 5.5219 825 ANO3 0.4873 0.8496 0.7219 0.0035 15.5326 825 OCM 2.4824 2.7998 7.8387 -0.0806 37.1792 825 LAC 0.2349 0.2508 0.0629 -0.0033 2.7071 825 SOIL 0.539 0.6625 0.4389 0.002 9.5872 825 SEASALT 0.0638 0.1113 0.0124 0.0002 1.6072 825

**Yosemite National Park** Sulfate mass fraction 0.202 Nitrate mass fraction 0.105 OC mass fraction 0.535 LAC mass fraction 0.051 Soil mass fraction 0.116 Seasalt mass fraction 0.014 Missing mass fraction -0.022

Appendix 1 96DRAFT

**Yosemite National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.01197 0.053648 -0.22309 0.824 ASULFATE 1.1453580.05090522.49976 0 ANO3 0.743991 0.037359 19.91453 0 OCM 0.9327880.03130929.79292 0 LAC 0.695342 0.354782 1.959913 0.05 SOIL 1.255509 0.0514 24.42614 0 SEASALT 0.987926 0.2734473.612865 0 Valid cases: 825 R-Squared: 0.952

**Zion National Park Variable**  **Me an**  **Std Dev Variance** **Minimum Ma** **ximum Valid**  FM 3.7931 3.5422 12.5475 0.646 33.4441 116 RECON 3.5608 3.3802 11.4261 0.7548 33.857 116 ASULFATE 0.7929 0.4791 0.2296 0.1306 2.0873 116 ANO3 0.2937 0.3226 0.1041 0.0306 2.5576 116 OCM 1.1623 2.0099 4.0397 0.1431 21.2382 116 LAC 0.1717 0.1458 0.0213 0.0122 1.5219 116 SOIL 1.0787 1.1399 1.2993 0.0166 7.2872 116 SEASALT 0.0615 0.0608 0.0037 0.0002 0.3001 116

**Zion National Park** Sulfate mass fraction 0.209 Nitrate mass fraction 0.077 OC mass fraction 0.306 LAC mass fraction 0.045 Soil mass fraction 0.284 Seasalt mass fraction 0.016 Missing mass fraction 0.061

**Zion National Park Variable**  **Estimate Std Error**  **t-value Prob>|t|**  CONSTANT -0.24555 0.163557 -1.50129 0.136 ASULFATE 1.3691430.135513 10.10341 0 ANO3 0.4055590.230727 1.757743 0.082 OCM 0.839131 0.100962 8.311322 0 LAC 2.146992 1.288827 1.665849 0.099 SOIL 1.3138870.068071 19.30159 0 SEASALT 1.1824490.954405 1.238939 0.218 Valid cases: 116 R-Squared: 0.973

Appendix 1 97