Articles | Volume 23, issue 12
https://doi.org/10.5194/hess-23-5059-2019
https://doi.org/10.5194/hess-23-5059-2019
Technical note
 | 
16 Dec 2019
Technical note |  | 16 Dec 2019

Technical note: Uncertainty in multi-source partitioning using large tracer data sets

Alicia Correa, Diego Ochoa-Tocachi, and Christian Birkel

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Cited articles

Barthold, F. K., Tyralla, C., Schneider, K., Vaché, K. B., Frede, H.-G., and Breuer, L.: How many tracers do we need for end member mixing analysis (EMMA)? A sensitivity analysis, Water Resour. Res., 47, W08519, https://doi.org/10.1029/2011WR010604, 2011. 
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Bartov, G., Deonarine, A., Johnson, T. M., Ruhl, L., Vengosh, A., and Hsu-Kim, H.: Environmental Impacts of the Tennessee Valley Authority Kingston Coal Ash Spill. 1. Source Apportionment Using Mercury Stable Isotopes, Environ. Sci. Technol., 47, 2092–2099, https://doi.org/10.1021/es303111p, 2013. 
Belli, R., Borsato, A., Frisia, S., Drysdale, R., Maas, R., and Greig, A.: Investigating the hydrological significance of stalagmite geochemistry (Mg, Sr) using Sr isotope and particulate element records across the Late Glacial-to-Holocene transition, Geochim. Cosmochim. Ac., 199, 247–263, https://doi.org/10.1016/j.gca.2016.10.024, 2017. 
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The applications and availability of large tracer data sets have vastly increased in recent years leading to research into the contributions of multiple sources to a mixture. We introduce a method based on Taylor series approximation to estimate the uncertainties of such sources' contributions. The method is illustrated with examples of hydrology (14 tracers) and a MATLAB code is provided for reproducibility. This method can be generalized to any number of tracers across a range of disciplines.