Parameter uncertainty analysis in watershed total phosphorus modeling using the GLUE methodology

Deterministic watershed models are frequently used for agricultural non-point source (NPS) pollution simulations. However, parameter uncertainty should be analyzed before the modeling results are used to make decisions regarding watershed NPS pollution control programs. In this study, the Soil and Water Assessment Tool (SWAT) was used to simulate the total phosphorus (TP) loads caused by NPS pollution in the upper Daning River Watershed in China's Three Gorges Reservoir Area. The Generalized Likelihood Uncertainty Estimation (GLUE) methodology was used to analyze the parameter uncertainty in SWAT modeling. The impacts of three subjective options of GLUE, the parameter ranges, the level of confidence, and the threshold value of the likelihood measure, on the parameter uncertainty analysis results were analyzed. Specifically, we investigated if there was a combination of these factors that was most appropriate for expression of the uncertainty assessment results. The results indicated that the “observed data” may not always lie within the confidence intervals of GLUE, so the confidence interval was not sufficient to represent the uncertainty for the specific requirements of this study. Therefore we suggest there should be alternative measures to express the parameter uncertainty of GLUE.

[1]  Keith Beven,et al.  Equifinality, data assimilation, and uncertainty estimation in mechanistic modelling of complex environmental systems using the GLUE methodology , 2001 .

[2]  Zongxue Xu,et al.  Analysis of parameter uncertainty in semi-distributed hydrological models using bootstrap method: a case study of SWAT model applied to Yingluoxia watershed in northwest China. , 2010 .

[3]  Harry X. Zhang,et al.  APPLYING THE FIRST-ORDER ERROR ANALYSIS IN DETERMINING THE MARGIN OF SAFETY FOR TOTAL MAXIMUM DAILY LOAD COMPUTATIONS , 2004 .

[4]  K. Abbaspour,et al.  Modelling hydrology and water quality in the pre-alpine/alpine Thur watershed using SWAT , 2007 .

[5]  Willy Bauwens,et al.  UNCERTAINTY IN COUPLED NONPOINT SOURCE AND STREAM WATER-QUALITY MODELS , 2001 .

[6]  B. Efron Bootstrap Methods: Another Look at the Jackknife , 1979 .

[7]  J. Feyen,et al.  GLUE Based Assessment on the Overall Predictions of a MIKE SHE Application , 2009 .

[8]  Lihua Xiong,et al.  An empirical method to improve the prediction limits of the GLUE methodology in rainfall–runoff modeling , 2008 .

[9]  S Zeng,et al.  Managing the performance risk of conventional waterworks in compliance with the natural organic matter regulation. , 2008, Water research.

[10]  Qian Hong,et al.  Parameter uncertainty analysis of the non-point source pollution in the Daning River watershed of the Three Gorges Reservoir Region, China. , 2008, The Science of the total environment.

[11]  G. Freni,et al.  Uncertainty assessment of an integrated urban drainage model , 2009 .

[12]  Keith Beven,et al.  Uncertainty assessment of a process-based integrated catchment model of phosphorus , 2009 .

[13]  J. Nash,et al.  River flow forecasting through conceptual models part I — A discussion of principles☆ , 1970 .

[14]  Indrajeet Chaubey,et al.  Spatial Distributions and Stochastic Parameter Influences on SWAT Flow and Sediment Predictions , 2008 .

[15]  Keith Beven,et al.  The future of distributed models: model calibration and uncertainty prediction. , 1992 .

[16]  Alberto Montanari,et al.  Large sample behaviors of the generalized likelihood uncertainty estimation (GLUE) in assessing the uncertainty of rainfall‐runoff simulations , 2005 .

[17]  G. Freni,et al.  Uncertainty in urban stormwater quality modelling: the effect of acceptability threshold in the GLUE methodology. , 2008, Water research.

[18]  Benny Selle,et al.  A bootstrap approach to assess parameter uncertainty in simple catchment models , 2010, Environ. Model. Softw..

[19]  Qi Zhang,et al.  Parameter and modeling uncertainty simulated by GLUE and a formal Bayesian method for a conceptual hydrological model , 2010 .

[20]  Keith Beven,et al.  A manifesto for the equifinality thesis , 2006 .

[21]  Charles S. Melching,et al.  Key sources of uncertainty in QUAL2E model of passaic river , 1996 .

[22]  Mazdak Arabi,et al.  A probabilistic approach for analysis of uncertainty in the evaluation of watershed management practices , 2007 .

[23]  Henrik Madsen,et al.  Generalized likelihood uncertainty estimation (GLUE) using adaptive Markov Chain Monte Carlo sampling , 2008 .

[24]  R. Srinivasan,et al.  A global sensitivity analysis tool for the parameters of multi-variable catchment models , 2006 .

[25]  Gabriele Freni,et al.  Bayesian approach for uncertainty quantification in water quality modelling: The influence of prior distribution , 2010 .

[26]  John R. Williams,et al.  LARGE AREA HYDROLOGIC MODELING AND ASSESSMENT PART I: MODEL DEVELOPMENT 1 , 1998 .

[27]  T. Bayes An essay towards solving a problem in the doctrine of chances , 2003 .

[28]  Jeffrey G. Arnold,et al.  Soil and Water Assessment Tool Theoretical Documentation Version 2009 , 2011 .

[29]  K. Abbaspour,et al.  Estimating Uncertain Flow and Transport Parameters Using a Sequential Uncertainty Fitting Procedure , 2004 .