Source distribution modelling for end-member mixing in hydrology

作者：Brewer M J^*; Tetzlaff D; Malcolm I A; Soul**y C

来源：Environmetrics, 2011, 22(8): 921-932.

DOI：10.1002/env.1110

• compositional analysis
• hierarchical Bayesian model
• MCMC
• WinBUGS
• chemical tracers

End-member mixing is a method in hydrology for attempting to define the runoff sources in river catchments. It involves estimation of the relative proportions of water from different sources, commonly producing a time series. Given regular measurements of a chemical tracer on the target water body and, in addition, corresponding measurements for samples of known sources, it is possible to perform end-member mixing using Bayesian models taking (essentially) a random effects approach in a hierarchical framework, including covariates if appropriate. This paper considers the case where there are no separate data available for the source components, and develops a model for source distributions via nonlinear regression on the tracer/flow relationship and nonparametric density estimation. We allow these source component distributions to vary from year to year and apply the model to a data set from two streams in central Scotland, comprised of weekly or fortnightly readings over seventeen years. We conclude there is evidence of a change in source distribution over time; that corresponding to low flow conditions exhibits a gradual increase in alkalinity for both of two streams studied, whereas for high flow conditions alkalinity appeared to be rising for only one stream.

• 出版日期2011-12