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 | L | 0.4% | 0.9% | 1.3% | 3.5% | 7.2% | 0.2% | 86.1% | 0.3% | 0.3% |
| Yanomayo | L | 59.9% | 1.7% | 3.8% | 5.4% | 13.0% | 5.4% | 10.8% | 0.0% | 0.3% |
| Rupac | L | 13.3% | 3.1% | 11.7% | 1.1% | 0.0% | 0.5% | 70.0% | 0.4% | 0.3% |
| Actuy | L | 14.4% | 6.1% | 23.4% | 5.8% | 6.9% | 0.7% | 42.2% | 0.5% | 0.2% |
| Cajas | R | 2.4% | 1.0% | 5.1% | 0.0% | 25.4% | 1.1% | 44.9% | 20.0% | 9.8% |
| SanMiguel | R | 0.0% | 0.5% | 14.9% | 0.2% | 29.1% | 30.3% | 24.9% | 11.2% | |
| Chusgon | L | 18.7% | 3.4% | 35.1% | 2.7% | 4.2% | 0.0% | 0.0% | 35.8% | 17.7% |
| Crisnejas | L | 10.4% | 11.3% | 22.3% | 10.5% | 3.2% | 0.5% | 33.9% | 7.8% | 4.7% |
| Yangas | L | 2.6% | 2.1% | 1.0% | 13.7% | 22.4% | 0.7% | 34.6% | 22.9% | 9.2% |
| Shauve | R | 13.6% | 0.2% | 1.2% | 0.0% | 4.2% | 0.0% | 35.1% | 45.8% | 17.6% |
| Silaco | L | 12.6% | 0.0% | 3.7% | 0.4% | 0.0% | 3.5% | 0.0% | 79.8% | 31.9% |
| Chamaya | L | 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 | L | 15.8% | 52.3% | 47.4% | 40.7% | 36.3% | 46% | 34.8% | 30.3% | 30.6% |
| Yanomayo | L | 22.0% | 1.3% | 9.9% | 18.4% | 14.3% | 17% | 47.4% | –149% | 49.8% |
| Rupac | L | 5.9% | 9.9% | 8.1% | 11.7% | –53.7% | 13.5% | 9.1% | 11.8% | 15.0% |
| Actuy | L | 10.0% | 7.1% | 5.4% | 7.8% | 8.6% | 7.0% | 12.7% | 0.5% | 1.4% |
| Cajas | R | 30.0% | –42.2% | 44.3% | 353% | 12.1% | 127% | 1.7% | 14.9% | 14.2% |
| SanMiguel | R | 243% | –32.1% | –4.2% | 54.7% | 7.7% | 46.7% | 16.9% | 18.7% | |
| Chusgon | L | 15.2% | 14.5% | 4.9% | 12.8% | –3.5% | –54.3% | –979% | 12.1% | 12.6% |
| Crisnejas | L | 9.9% | 3.7% | 6.8% | 5.0% | 7.6% | 26.5% | 1.9% | 29.2% | 29.0% |
| Yangas | L | 1.2% | 8.3% | 5.2% | 2.7% | –0.2% | 2.6% | 19.7% | 6.8% | 5.6% |
| Shauve | R | 8.4% | 1.2% | 1.4% | 19.8% | 1.7% | 854% | 4.5% | 14.3% | 14.9% |
| Silaco | L | 8.3% | 513% | 17.9% | 2.5% | –550.5% | 7.0% | 33.9% | 15.8% | 15.9% |
| Chamaya | L | 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 | L | 0.1% | 0.5% | 0.6% | 1.4% | 2.6% | 0.1% | 30.0% | 0.1% | 0.1% |
| Yanomayo | L | 13.2% | 0.0% | 0.4% | 1.0% | 1.9% | 0.9% | 5.1% | 0.0% | 0.1% |
| Rupac | L | 0.8% | 0.3% | 1.0% | 0.1% | 0.0% | 0.1% | 6.4% | 0.0% | 0.0% |
| Actuy | L | 1.4% | 0.4% | 1.3% | 0.5% | 0.6% | 0.0% | 5.3% | 0.0% | 0.0% |
| Cajas | R | 0.7% | –0.4% | 2.2% | 0.0% | 3.1% | 1.5% | 0.8% | 3.0% | 1.4% |
| SanMiguel | R | 0.1% | –0.2% | –0.6% | 0.1% | 2.2% | 14.1% | 4.2% | 2.1% | |
| Chusgon | L | 2.8% | 0.5% | 1.7% | 0.3% | –0.1% | 0.0% | 0.0% | 4.3% | 2.2% |
| Crisnejas | L | 1.0% | 0.4% | 1.5% | 0.5% | 0.2% | 0.1% | 0.7% | 2.3% | 1.4% |
| Yangas | L | 0.0% | 0.2% | 0.1% | 0.4% | 0.0% | 0.0% | 6.8% | 1.6% | 0.5% |
| Shauve | R | 1.1% | 0.0% | 0.0% | 0.0% | 0.1% | 0.0% | 1.6% | 6.6% | 2.6% |
| Silaco | L | 1.0% | 0.0% | 0.7% | 0.0% | 0.0% | 0.2% | 0.0% | 12.6% | 5.1% |
| Chamaya | L | 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 | L | 0.4% | 0.9% | 1.3% | 3.5% | 7.2% | 0.2% | 86.1% | 0.3% | 0.3% |
| Yanomayo | L | 59.9% | 1.7% | 3.8% | 5.4% | 13.0% | 5.4% | 10.8% | 0.0% | 0.3% |
| Rupac | L | 13.3% | 3.1% | 11.7% | 1.1% | 0.0% | 0.5% | 70.0% | 0.4% | 0.3% |
| Actuy | L | 14.4% | 6.1% | 23.4% | 5.8% | 6.9% | 0.7% | 42.2% | 0.5% | 0.2% |
| Cajas | R | 2.4% | 1.0% | 5.1% | 0.0% | 25.4% | 1.1% | 44.9% | 20.0% | 9.8% |
| SanMiguel | R | 0.0% | 0.5% | 14.9% | 0.2% | 29.1% | 30.3% | 24.9% | 11.2% | |
| Chusgon | L | 18.7% | 3.4% | 35.1% | 2.7% | 4.2% | 0.0% | 0.0% | 35.8% | 17.7% |
| Crisnejas | L | 10.4% | 11.3% | 22.3% | 10.5% | 3.2% | 0.5% | 33.9% | 7.8% | 4.7% |
| Yangas | L | 2.6% | 2.1% | 1.0% | 13.7% | 22.4% | 0.7% | 34.6% | 22.9% | 9.2% |
| Shauve | R | 13.6% | 0.2% | 1.2% | 0.0% | 4.2% | 0.0% | 35.1% | 45.8% | 17.6% |
| Silaco | L | 12.6% | 0.0% | 3.7% | 0.4% | 0.0% | 3.5% | 0.0% | 79.8% | 31.9% |
| Chamaya | L | 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 | L | 15.8% | 52.3% | 47.4% | 40.7% | 36.3% | 46% | 34.8% | 30.3% | 30.6% |
| Yanomayo | L | 22.0% | 1.3% | 9.9% | 18.4% | 14.3% | 17% | 47.4% | –149% | 49.8% |
| Rupac | L | 5.9% | 9.9% | 8.1% | 11.7% | –53.7% | 13.5% | 9.1% | 11.8% | 15.0% |
| Actuy | L | 10.0% | 7.1% | 5.4% | 7.8% | 8.6% | 7.0% | 12.7% | 0.5% | 1.4% |
| Cajas | R | 30.0% | –42.2% | 44.3% | 353% | 12.1% | 127% | 1.7% | 14.9% | 14.2% |
| SanMiguel | R | 243% | –32.1% | –4.2% | 54.7% | 7.7% | 46.7% | 16.9% | 18.7% | |
| Chusgon | L | 15.2% | 14.5% | 4.9% | 12.8% | –3.5% | –54.3% | –979% | 12.1% | 12.6% |
| Crisnejas | L | 9.9% | 3.7% | 6.8% | 5.0% | 7.6% | 26.5% | 1.9% | 29.2% | 29.0% |
| Yangas | L | 1.2% | 8.3% | 5.2% | 2.7% | –0.2% | 2.6% | 19.7% | 6.8% | 5.6% |
| Shauve | R | 8.4% | 1.2% | 1.4% | 19.8% | 1.7% | 854% | 4.5% | 14.3% | 14.9% |
| Silaco | L | 8.3% | 513% | 17.9% | 2.5% | –550.5% | 7.0% | 33.9% | 15.8% | 15.9% |
| Chamaya | L | 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 | L | 0.1% | 0.5% | 0.6% | 1.4% | 2.6% | 0.1% | 30.0% | 0.1% | 0.1% |
| Yanomayo | L | 13.2% | 0.0% | 0.4% | 1.0% | 1.9% | 0.9% | 5.1% | 0.0% | 0.1% |
| Rupac | L | 0.8% | 0.3% | 1.0% | 0.1% | 0.0% | 0.1% | 6.4% | 0.0% | 0.0% |
| Actuy | L | 1.4% | 0.4% | 1.3% | 0.5% | 0.6% | 0.0% | 5.3% | 0.0% | 0.0% |
| Cajas | R | 0.7% | –0.4% | 2.2% | 0.0% | 3.1% | 1.5% | 0.8% | 3.0% | 1.4% |
| SanMiguel | R | 0.1% | –0.2% | –0.6% | 0.1% | 2.2% | 14.1% | 4.2% | 2.1% | |
| Chusgon | L | 2.8% | 0.5% | 1.7% | 0.3% | –0.1% | 0.0% | 0.0% | 4.3% | 2.2% |
| Crisnejas | L | 1.0% | 0.4% | 1.5% | 0.5% | 0.2% | 0.1% | 0.7% | 2.3% | 1.4% |
| Yangas | L | 0.0% | 0.2% | 0.1% | 0.4% | 0.0% | 0.0% | 6.8% | 1.6% | 0.5% |
| Shauve | R | 1.1% | 0.0% | 0.0% | 0.0% | 0.1% | 0.0% | 1.6% | 6.6% | 2.6% |
| Silaco | L | 1.0% | 0.0% | 0.7% | 0.0% | 0.0% | 0.2% | 0.0% | 12.6% | 5.1% |
| Chamaya | L | 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].