Using Multi-Criterea Calibration Methods to Estimate Nitrate Pollution in a Large Basin with Limited Data

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Using Multi-Criterea Calibration Methods to Estimate Nitrate Pollution in a Large Basin with Limited Data Daniel Hawtree Stefan Julich, Karl-Heinz Feger SWAT Conference Warsaw Poland 28-30 June 2017 Technische Universität Dresden, Institute of Soil Science & Site Ecology University of Aveiro, CESAM & Department of Environment and Planning Forest and Nature for Society (FONASO) Joint Doctoral Program

Presentation Overview Study Site, Objectives, & Calibration Approach Parameter Set Selection 1. Kling-Gupta Efficiency rescaling of components 2. Kolmogorov Smirnov (KS) Test utility for nutrient calibration 3. Pareto Selection Method Preliminary Conclusions: Pros / Cons

Vouga River Basin 2,298 km 2

Agueda Watershed

Certima Watershed Critical Region

Certima Watershed Critical Region One of the most polluted water bodies in the EU. (Rocha, Wednesday)

Groundwater Pollution Risk

Freshwater Habitat (Pateira de Fermentelos)

Outlet Lagoon (Ria de Aveiro)

Observed NO3 Data

Observed NO3 Data Monthly Data

Calibration Approach Divided basin into three distinct regions: geology, topography, land-cover/use Calibrate each independently at a site with acceptable observed N & Q data Parameter Set Selection Using 1. Kling-Gupta Efficiency (KGE): Streamflow 2. Kolmogorov Smirnov (KS) Test: Nitrogen 3. Select Pareto Optimal Parameter Sets

Kling Gupta Efficiency (KGE) Timing Magnitude Variability

Kling Gupta Efficiency (KGE) Timing Magnitude Variability Can be re-scaled to put more / less emphasis on different components ('hydrogof' - R)

KGE Value Timing Magnitude Variability

Sub03: Scaled KGE 0.9 KGE Value Sub03: r = 0.15 0.9 Timing 0.6 0.6 KGE 0.3 KGE 0.3 0.0 0.0 p0001 p1000 p2000 p3000 pset Sub03: Beta = 0.70 0.9 Magnitude 0.2 0.4 0.6 0.8 r Sub03: Gamma = 0.15 0.9 Variability 0.6 0.6 KGE KGE 0.3 0.3 0.0 0.0 0.8 0.9 1.0 Beta 0.5 1.0 1.5 Gamma

Kolmogorov Smirnov (KS) Test Non-Parametric Statistical Test compare a sample of data against a known set (or distribution). Generates a similarity measure which can serve as a goodness-of-fit measure Removes the time component, only compares distribution (% exceedence) - model vs observed

OK Huh? Good

All Potential Pareto Parameters - Set Constrained Selection Axis 0.4 0.3 KGE_inv 0.2 0.1 Optimal Point 0.0 0.0 0.1 0.2 0.3 0.4 KS

Rank 1 Parameter Sets 0.4 0.3 KGE_inv 0.2 0.1 0.0 0.0 0.1 0.2 0.3 0.4 KS

Rank 2 Parameter Sets 0.4 0.3 KGE_inv 0.2 0.1 0.0 0.0 0.1 0.2 0.3 0.4 KS

Rank 3 Parameter Sets 0.4 0.3 KGE_inv 0.2 0.1 0.0 0.0 0.1 0.2 0.3 0.4 KS

Rank 4 Parameter Sets 0.4 0.3 KGE_inv 0.2 0.1 0.0 0.0 0.1 0.2 0.3 0.4 KS

Rank 5 Parameter Sets 0.4 0.3 KGE_inv 0.2 0.1 0.0 0.0 0.1 0.2 0.3 0.4 KS

Sub-Basin 03 0.4 0.3 KGE_inv 0.2 0.1 0.0 0.0 0.1 0.2 0.3 0.4 KS

A Sub 03 KGE: Non-Scaled / KS: Concentration 1.25 Sub 16 KGE: Non-Scaled / KS: Concentration Sub 15 KGE: Non-Scaled / KS: Concentration 1.6 1.00 0.8 KGE_inv 0.75 KGE_inv 0.6 KGE_inv 1.2 0.50 0.8 0.4 0.25 0.4 B Sub 03 0.1 0.2 0.3 0.4 0.5 0.6 KS KGE: Non-Scaled / KS: Mass 1.25 0.3 0.4 0.5 0.6 0.7 0.8 KS Sub 16 KGE: Non-Scaled / KS: Mass 0.1 0.2 0.3 0.4 KS Sub 15 KGE: Non-Scaled / KS: Mass 1.6 1.00 0.8 KGE_inv 0.75 KGE_inv 0.6 KGE_inv 1.2 0.50 0.8 0.4 0.25 0.4 0.2 0.3 0.4 KS 0.60 0.64 0.68 0.72 KS 0.50 0.55 0.60 0.65 KS

KGE = 0.64 Blue Red Grey = Observed Data = Ensemble Prediction = Individual Predictions KGE = 0.44

Blue = Observed Data Red = Ensemble Prediction Grey = Individual Predictions Sub 15 - Requeixo (Lower-Basin) % Exceedance 0.0 0.2 0.4 0.6 0.8 1.0 2 5 10 20 50 NO3 (mg/l)

Nitrogen Export Baseline Predictions

Take-Home Messages 1. Kling-Gupta Efficiency Pros / Cons Kling et al. (2012)

Take-Home Messages 1. Kling-Gupta Efficiency Pros / Cons Happy models are all alike, every unhappy model is unhappy in its own way.

Take-Home Messages Pros / Cons 1. Kling-Gupta Efficiency Pro: Useful Objctive Function & Diagnostic Tool Con: More Difficult to Interpret Lack of Baseline What is a Good / Fair / Poor KGE? Effect of Scaling

Take-Home Messages Pros / Cons 1. Kling-Gupta Efficiency Pro: Useful Objctive Function & Diagnostic Tool Con: More Difficult to Interpret Lack of Baseline What is a Good / Fair / Poor KGE? Effect of Scaling 2. Kolmogorov Smirnov (KS) Test Pro: Can help capture the overall picture. What % of time will WQ standards be exceeded? Con: Doesn t consider the temporal component What is the nitrogen load on June 30th?

Thank You To FONASO for Funding To my colleagues in Dresden & Aveiro To you for your attention Technische Universität Dresden, Institute of Soil Science & Site Ecology University of Aveiro, CESAM & Department of Environment and Planning Forest and Nature for Society (FONASO) Joint Doctoral Program

Global Parameters Parameter Definition Model Usage N_UPDIS Nitrogen uptake distribution parameter Plant Nutrient Uptake CDN SDNCO Rate coefficient for denitrification Threshold value of nutrient cycling water factor for denitrification to occur Denitrification CMN RSDCO Rate coefficient for mineralization of the humus active organic nutrients Rate coefficient for mineralization of the residue fresh organic nutrients Mineralization NPERCO Nitrate percolation coefficient Nitrate Transport SOL_AWC Available water capacity Percolation SOL_K Saturated hydraulic conductivity of first layer (mm/hr.) Infiltration / Percolation SURLAG18 Surface runoff lag coefficient Surface Runoff & Matter Transport Regional Parameters ALPHA_BF Parameter Definition Baseflow recession constant Model Usage GW_DELAY Delay time for aquifer recharge GW_QMN Threshold water level in shallow aquifer for base flow (mm H 2 O) Shallow Aquifer GW_REVAP Revap coefficient RCHRG_DP Aquifer percolation coefficient CH_K Effective hydraulic conductivity of channel (mm/hr.) Transmission Loss CH_N Manning's n value for tributary channels Peak Rate / Channel Flow

Region Sub-Basin ENSEMBLE COMPARISON Streamflow (KGE = 1.0) Total Nitrogen (KS = 0.0) Nitrogen Con. (KS = 0.0) A B C D A B C D A B C D 3 - Cabria 0.77 0.83 0.76 0.82 0.29 0.23 0.29 0.29 0.09 0.16 0.08 0.15 Upper 5 - Vouzela -0.24-0.21-0.25-0.22 0.38 0.28 0.38 0.38 0.56 0.52 0.58 0.53 4 - Ribeirada 0.16-0.26 0.20-0.37 16 - Agueda 0.44 0.54 0.44 0.58 0.66 0.63 0.66 0.66 0.35 0.44 0.35 0.46 18 - Redonda -0.77-0.70-0.77-0.67 0.94 0.96 0.94 0.94 0.13 0.15 0.13 0.15 Middle 14 - Ribeiro 0.80 0.83 0.79 0.80 6 - Maior 0.97 1.00 0.97 1.00 7 - Carvoeiro 0.70 0.79 0.70 0.79 Lower 15 - Requeixo 0.64 0.62 0.65 0.61 0.55 0.53 0.55 0.55 0.16 0.25 0.16 0.26 8 - Frossos 0.75 0.69 0.75 0.67 Ensemble A B C D Kling-Gupta Unscaled Unscaled Scaled Scaled Kolmogorov Smirnov Concentration (mg/l) Mass (kg) Concentration (mg/l) Mass (kg)

Code Land-Cover/Use Class % General Class % FRSC Mixed Commercial Forest 18% PINE Pine 16% Forest 47% EUCL Eucalyptus 13% AGRL Agricultural Land-Generic 8% AGPO Potato / Oat Rotation 7% CORN Corn 9% Croplands 27% VINE Vineyard 3% RNGB Range-Brush 21% PAST Pasture 1% WETL Wetlands-Mixed < 1% Other 29% URMD Residential-Medium Density 4%