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Table 3

Demonstrates this result visually. The greyed values in Table 3a, b and c are those with less than 5% influence on the error weighted mean calculation. These low-influence constituents (Table 3a) in most cases correlate to the outlier mixing model results (Table 3b) as is expected since constituents with high uncertainty (low influence) produce mixing fractions with higher deviation. Tables 3a and 3b combine in Table 3c to determine each constituent’s contribution to the EWM. DOI: https://doi.org/10.1525/elementa.290.t3

a: Influential analyte indicator, the percent influence imposed by the analyte on the EWM (equation 5). 
Tributary Bank Ca K Mg Na Cl ANC SO4 δD δO18 

 
Putchka 0.4% 0.9% 1.3% 3.5% 7.2% 0.2% 86.1% 0.3% 0.3% 
Yanomayo 59.9% 1.7% 3.8% 5.4% 13.0% 5.4% 10.8% 0.0% 0.3% 
Rupac 13.3% 3.1% 11.7% 1.1% 0.0% 0.5% 70.0% 0.4% 0.3% 
Actuy 14.4% 6.1% 23.4% 5.8% 6.9% 0.7% 42.2% 0.5% 0.2% 
Cajas 2.4% 1.0% 5.1% 0.0% 25.4% 1.1% 44.9% 20.0% 9.8% 
SanMiguel 0.0% 0.5% 14.9% 0.2% 29.1%  30.3% 24.9% 11.2% 
Chusgon 18.7% 3.4% 35.1% 2.7% 4.2% 0.0% 0.0% 35.8% 17.7% 
Crisnejas 10.4% 11.3% 22.3% 10.5% 3.2% 0.5% 33.9% 7.8% 4.7% 
Yangas 2.6% 2.1% 1.0% 13.7% 22.4% 0.7% 34.6% 22.9% 9.2% 
Shauve 13.6% 0.2% 1.2% 0.0% 4.2% 0.0% 35.1% 45.8% 17.6% 
Silaco 12.6% 0.0% 3.7% 0.4% 0.0% 3.5% 0.0% 79.8% 31.9% 
Chamaya 3.6% 0.6% 11.4% 1.2% 5.7%  43.1% 34.4% 10.5% 
Chinchipe/Utcubamba L/R 11.2% 0.2% 12.8% 1.8% 2.8%  52.4% 18.9% 4.5% 
b: 2-component mixing model tributary fraction results calculated across analytes. 
Tributary Bank Ca K Mg Na Cl ANC SO4 δD δO18 

 
Putchka 15.8% 52.3% 47.4% 40.7% 36.3% 46% 34.8% 30.3% 30.6% 
Yanomayo 22.0% 1.3% 9.9% 18.4% 14.3% 17% 47.4% –149% 49.8% 
Rupac 5.9% 9.9% 8.1% 11.7% –53.7% 13.5% 9.1% 11.8% 15.0% 
Actuy 10.0% 7.1% 5.4% 7.8% 8.6% 7.0% 12.7% 0.5% 1.4% 
Cajas 30.0% –42.2% 44.3% 353% 12.1% 127% 1.7% 14.9% 14.2% 
SanMiguel 243% –32.1% –4.2% 54.7% 7.7%  46.7% 16.9% 18.7% 
Chusgon 15.2% 14.5% 4.9% 12.8% –3.5% –54.3% –979% 12.1% 12.6% 
Crisnejas 9.9% 3.7% 6.8% 5.0% 7.6% 26.5% 1.9% 29.2% 29.0% 
Yangas 1.2% 8.3% 5.2% 2.7% –0.2% 2.6% 19.7% 6.8% 5.6% 
Shauve 8.4% 1.2% 1.4% 19.8% 1.7% 854% 4.5% 14.3% 14.9% 
Silaco 8.3% 513% 17.9% 2.5% –550.5% 7.0% 33.9% 15.8% 15.9% 
Chamaya 62.1% 45.2% 45.8% 48.0% 49.1%  44.4% 46.1% 46.8% 
Chinchipe/Utcubamba L/R 68.5% 64.6% 71.1% 53.1% 59.3%  66.9% 64.2% 64.0% 
c: Constituent contributions for error weighted mean calculation. 
Tributary Bank Ca K Mg Na Cl ANC SO4 δD δO18 

 
Putchka 0.1% 0.5% 0.6% 1.4% 2.6% 0.1% 30.0% 0.1% 0.1% 
Yanomayo 13.2% 0.0% 0.4% 1.0% 1.9% 0.9% 5.1% 0.0% 0.1% 
Rupac 0.8% 0.3% 1.0% 0.1% 0.0% 0.1% 6.4% 0.0% 0.0% 
Actuy 1.4% 0.4% 1.3% 0.5% 0.6% 0.0% 5.3% 0.0% 0.0% 
Cajas 0.7% –0.4% 2.2% 0.0% 3.1% 1.5% 0.8% 3.0% 1.4% 
SanMiguel 0.1% –0.2% –0.6% 0.1% 2.2%  14.1% 4.2% 2.1% 
Chusgon 2.8% 0.5% 1.7% 0.3% –0.1% 0.0% 0.0% 4.3% 2.2% 
Crisnejas 1.0% 0.4% 1.5% 0.5% 0.2% 0.1% 0.7% 2.3% 1.4% 
Yangas 0.0% 0.2% 0.1% 0.4% 0.0% 0.0% 6.8% 1.6% 0.5% 
Shauve 1.1% 0.0% 0.0% 0.0% 0.1% 0.0% 1.6% 6.6% 2.6% 
Silaco 1.0% 0.0% 0.7% 0.0% 0.0% 0.2% 0.0% 12.6% 5.1% 
Chamaya 2.3% 0.3% 5.2% 0.6% 2.8%  19.1% 15.9% 4.9% 
Chinchipe/Utcubamba L/R 7.7% 0.1% 9.1% 0.9% 1.7%  35.0% 12.1% 2.9% 
a: Influential analyte indicator, the percent influence imposed by the analyte on the EWM (equation 5). 
Tributary Bank Ca K Mg Na Cl ANC SO4 δD δO18 

 
Putchka 0.4% 0.9% 1.3% 3.5% 7.2% 0.2% 86.1% 0.3% 0.3% 
Yanomayo 59.9% 1.7% 3.8% 5.4% 13.0% 5.4% 10.8% 0.0% 0.3% 
Rupac 13.3% 3.1% 11.7% 1.1% 0.0% 0.5% 70.0% 0.4% 0.3% 
Actuy 14.4% 6.1% 23.4% 5.8% 6.9% 0.7% 42.2% 0.5% 0.2% 
Cajas 2.4% 1.0% 5.1% 0.0% 25.4% 1.1% 44.9% 20.0% 9.8% 
SanMiguel 0.0% 0.5% 14.9% 0.2% 29.1%  30.3% 24.9% 11.2% 
Chusgon 18.7% 3.4% 35.1% 2.7% 4.2% 0.0% 0.0% 35.8% 17.7% 
Crisnejas 10.4% 11.3% 22.3% 10.5% 3.2% 0.5% 33.9% 7.8% 4.7% 
Yangas 2.6% 2.1% 1.0% 13.7% 22.4% 0.7% 34.6% 22.9% 9.2% 
Shauve 13.6% 0.2% 1.2% 0.0% 4.2% 0.0% 35.1% 45.8% 17.6% 
Silaco 12.6% 0.0% 3.7% 0.4% 0.0% 3.5% 0.0% 79.8% 31.9% 
Chamaya 3.6% 0.6% 11.4% 1.2% 5.7%  43.1% 34.4% 10.5% 
Chinchipe/Utcubamba L/R 11.2% 0.2% 12.8% 1.8% 2.8%  52.4% 18.9% 4.5% 
b: 2-component mixing model tributary fraction results calculated across analytes. 
Tributary Bank Ca K Mg Na Cl ANC SO4 δD δO18 

 
Putchka 15.8% 52.3% 47.4% 40.7% 36.3% 46% 34.8% 30.3% 30.6% 
Yanomayo 22.0% 1.3% 9.9% 18.4% 14.3% 17% 47.4% –149% 49.8% 
Rupac 5.9% 9.9% 8.1% 11.7% –53.7% 13.5% 9.1% 11.8% 15.0% 
Actuy 10.0% 7.1% 5.4% 7.8% 8.6% 7.0% 12.7% 0.5% 1.4% 
Cajas 30.0% –42.2% 44.3% 353% 12.1% 127% 1.7% 14.9% 14.2% 
SanMiguel 243% –32.1% –4.2% 54.7% 7.7%  46.7% 16.9% 18.7% 
Chusgon 15.2% 14.5% 4.9% 12.8% –3.5% –54.3% –979% 12.1% 12.6% 
Crisnejas 9.9% 3.7% 6.8% 5.0% 7.6% 26.5% 1.9% 29.2% 29.0% 
Yangas 1.2% 8.3% 5.2% 2.7% –0.2% 2.6% 19.7% 6.8% 5.6% 
Shauve 8.4% 1.2% 1.4% 19.8% 1.7% 854% 4.5% 14.3% 14.9% 
Silaco 8.3% 513% 17.9% 2.5% –550.5% 7.0% 33.9% 15.8% 15.9% 
Chamaya 62.1% 45.2% 45.8% 48.0% 49.1%  44.4% 46.1% 46.8% 
Chinchipe/Utcubamba L/R 68.5% 64.6% 71.1% 53.1% 59.3%  66.9% 64.2% 64.0% 
c: Constituent contributions for error weighted mean calculation. 
Tributary Bank Ca K Mg Na Cl ANC SO4 δD δO18 

 
Putchka 0.1% 0.5% 0.6% 1.4% 2.6% 0.1% 30.0% 0.1% 0.1% 
Yanomayo 13.2% 0.0% 0.4% 1.0% 1.9% 0.9% 5.1% 0.0% 0.1% 
Rupac 0.8% 0.3% 1.0% 0.1% 0.0% 0.1% 6.4% 0.0% 0.0% 
Actuy 1.4% 0.4% 1.3% 0.5% 0.6% 0.0% 5.3% 0.0% 0.0% 
Cajas 0.7% –0.4% 2.2% 0.0% 3.1% 1.5% 0.8% 3.0% 1.4% 
SanMiguel 0.1% –0.2% –0.6% 0.1% 2.2%  14.1% 4.2% 2.1% 
Chusgon 2.8% 0.5% 1.7% 0.3% –0.1% 0.0% 0.0% 4.3% 2.2% 
Crisnejas 1.0% 0.4% 1.5% 0.5% 0.2% 0.1% 0.7% 2.3% 1.4% 
Yangas 0.0% 0.2% 0.1% 0.4% 0.0% 0.0% 6.8% 1.6% 0.5% 
Shauve 1.1% 0.0% 0.0% 0.0% 0.1% 0.0% 1.6% 6.6% 2.6% 
Silaco 1.0% 0.0% 0.7% 0.0% 0.0% 0.2% 0.0% 12.6% 5.1% 
Chamaya 2.3% 0.3% 5.2% 0.6% 2.8%  19.1% 15.9% 4.9% 
Chinchipe/Utcubamba L/R 7.7% 0.1% 9.1% 0.9% 1.7%  35.0% 12.1% 2.9% 

Blank entries = mixing model results unavailable due to missing data.

Bank indicates if tributary comes in from the left [L] or right [R].

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