title: Sensitivity of fluvial sediment source apportionment to mixing model assumptions: A Bayesian model comparison.
abstract: Mixing models have become increasingly common tools for apportioning fluvial sediment load to various sediment sources across catchments using a wide variety of Bayesian and frequentist modeling approaches. In this study, we demonstrate how different model setups can impact upon resulting source apportionment estimates in a Bayesian framework via a one-factor-at-a-time (OFAT) sensitivity analysis. We formulate 13 versions of a mixing model, each with different error assumptions and model structural choices, and apply them to sediment geochemistry data from the River Blackwater, Norfolk, UK, to apportion suspended particulate matter (SPM) contributions from three sources (arable topsoils, road verges, and subsurface material) under base flow conditions between August 2012 and August 2013. Whilst all 13 models estimate subsurface sources to be the largest contributor of SPM (median ∼76%), comparison of apportionment estimates reveal varying degrees of sensitivity to changing priors, inclusion of covariance terms, incorporation of time-variant distributions, and methods of proportion characterization. We also demonstrate differences in apportionment results between a full and an empirical Bayesian setup, and between a Bayesian and a frequentist optimization approach. This OFAT sensitivity analysis reveals that mixing model structural choices and error assumptions can significantly impact upon sediment source apportionment results, with estimated median contributions in this study varying by up to 21% between model versions. Users of mixing models are therefore strongly advised to carefully consider and justify their choice of model structure prior to conducting sediment source apportionment investigations.
  
  
  CONCLUSIONS
  An OFAT sensitivity analysis of sediment fingerprinting mixing models is conductedBayesian models display high sensitivity to error assumptions and structural choicesSource apportionment results differ between Bayesian and frequentist approaches.
authors.affiliation: School of Environmental Sciences, University of East Anglia, Norwich Research Park Norwich, Norfolk, UK.
authors.forename: Richard J
authors.initials: RJ
authors.lastname: Cooper
authors.affiliation: IRI THESys, Humboldt University Berlin, Germany.
authors.forename: Tobias
authors.initials: T
authors.lastname: Krueger
authors.affiliation: School of Environmental Sciences, University of East Anglia, Norwich Research Park Norwich, Norfolk, UK.
authors.forename: Kevin M
authors.initials: KM
authors.lastname: Hiscock
authors.affiliation: British Geological Survey Keyworth, Nottingham, UK.
authors.forename: Barry G
authors.initials: BG
authors.lastname: Rawlins
keywords: Bayesian; fingerprinting; mixing model; optimization; sediment; sensitivity analysis