2015
DOI: 10.1002/2014gc005683
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An open source Bayesian Monte Carlo isotope mixing model with applications in Earth surface processes

Abstract: The implementation of isotopic tracers as constraints on source contributions has become increasingly relevant to understanding Earth surface processes. Interpretation of these isotopic tracers has become more accessible with the development of Bayesian Monte Carlo (BMC) mixing models, which allow uncertainty in mixing end-members and provide methodology for systems with multicomponent mixing. and Hawaiian soil data sets that are consistent with the originally published fractional contribution estimates. The a… Show more

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Cited by 36 publications
(42 citation statements)
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“…The source of distributed system meltwater is largely surface ice and snowmelt and to a lesser extent basal ice melt (Bell, 2008). Hence, δ 2 H and δ 18 O in distributed system meltwater cannot be expected to have the isotopic composition of basal ice as was assumed in and Arendt et al (2015).…”
Section: Source Of Meltwater Runoff Inferred From δ 2 H and δ 18 O Ismentioning
confidence: 93%
“…The source of distributed system meltwater is largely surface ice and snowmelt and to a lesser extent basal ice melt (Bell, 2008). Hence, δ 2 H and δ 18 O in distributed system meltwater cannot be expected to have the isotopic composition of basal ice as was assumed in and Arendt et al (2015).…”
Section: Source Of Meltwater Runoff Inferred From δ 2 H and δ 18 O Ismentioning
confidence: 93%
“…End‐member mixing models developed by Thornton and McManus () and further developed by Gordon and Goni () provide a quantitative framework to assess the relative inputs of OC terr and OC mar into marine sediments. These techniques have been furthered by the introduction of Markov chain Monte Carlo (MCMC) methodologies (Li et al, ) and standalone Bayesian isotope mixing models (Arendt et al, ; Morris et al, ). These mixing models use elemental ratios and stable isotope values to separate the terrestrial and marine components; OC terr is isotopically lighter and has a high C:N ratio in comparison to OC mar (Bauer et al, ; Meyers, ; Peter et al, 1978; Redfield et al, ).…”
Section: Methodsmentioning
confidence: 99%
“…The Bayesian Monte Carlo isotope mixing model developed by Arendt et al . [] was used to calculate the mixing ratios of multiple water sources and to quantify the uncertainties caused by variability in the isotopic composition of end‐members and the uncertainties relating to measurement techniques. The method is thoroughly documented in Arendt et al .…”
Section: Methodsmentioning
confidence: 99%
“…The method is thoroughly documented in Arendt et al . [] and briefly presented in supporting information. In practical applications where the detailed uncertainty estimations are usually not indispensable, a simple two‐component mixing model can be used to determine the proportions of summer precipitation and GW in the initial mixture.…”
Section: Methodsmentioning
confidence: 99%