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Lessons learned from applying APEX 
to field‐sized agricultural watersheds 
underlain by a restrictive layer
SWCS Annual Meeting – July 24‐27, 2016 – Louisville, KY
Regional P Index Assessment Project Team
•Modeling team
 Claire Baffaut, USDA‐ARS, Univ. of Missouri
 Nathan Nelson, Kansas State Univ.
 John Lory, Univ. of Missouri
 Anomaa Senaviratne
 Ammar Bhandari
 Mike Van Liew, Univ. of Nebraska
• Runoff study managers
 Matt Helmers, Iowa State Univ.
 Ranjith Uddawatta, Univ. of 
Missouri
 Dan Sweeney, Kansas State Univ.
Study Objectives
 Determine if APEX can be used to evaluate and 
improve P Indices
• Step 1 ‐ Determine the capacity of various parameterization 
strategies to successfully replicate water quality data. 
• Step 2 ‐ Assess the impact of calibration strategy on the 
capacity of APEX to evaluate management systems.
What parameterization strategy is required to 
model P loss? 
Best Professional Judgement – no calibration, 
parameters selected based on literature survey and best‐
professional judgement
Full calibration – parameters selected on a site‐specific
calibration/validation procedure. Options were adjusted 
in control file and apex parm file.
Regional calibration – single parameter set for sites 
across a broad region.  Multi‐site calibration/validation.
Event‐based Model Assessment 
(Calibration/Validation)
Water Quality 
Parameter
Coefficient of 
determination (r2)
Percent bias 
(p‐bias)
Nash‐Sutcliffe Eff. 
(NSE)
Runoff > 0.5 ± 35% > 0.3
Sediment Loss > 0.5 ± 60% > 0.3
Phosphorus Loss > 0.5 ± 60% > 0.3
Comparison of observed vs. simulated data
Regional Model Datasets
Size: 0.4 – 5 ha.
Crops
• Corn/Soybean/Sorghum
Tillage
• No‐till/Reduced till
Fertility
• Fertilizer
• Poultry litter
Structures
• Grass waterways
• Buffers
• Terraces
Soils with a 
restrictive  layer 
at all sites.
Kansas
Development of Regional Calibration
 Compiled a list of all options/parameters that were 
used in calibration (sensitive)
• 3 options in the control file
• 21 parameters in the parm file
 Identified the “optimal” parameter set
Identifying the “optimal” parameter set
 Control file options
• Most common value
 Parameter file
• Additional sensitivity analysis
• Equal values among most models and non‐sensitive for the 
others  select that value.
• All values close to each other and low sensitivity within that 
range  select average
• Different values and high sensitivity  9 parameters 
selected for regional calibration
Regional Calibration Process
 Multi‐site Calibration: identify sets of good values for 
the 9 parameters
 Identify a parameter set that met performance criteria 
for most of the data sets  4 parameters
 Manual calibration using all data sets together and 
selecting parameter values that led to best 
performance values. 
Lessons Learned…
1. Accurate parameterization of APEX requires a 
high level of training.
 Users must be informed about many model options
 Some published parameter ranges may not apply to 
the specific locations
 “blind” calibration can lead to un‐realistic parameter 
sets or incorrect model options.
• Example: selecting the correct method for determining peak 
rainfall rate (ITYP)
2. Review models results thoroughly at each step 
of a study
 APEX is an actively developing model
• We have fixed or updated model code several times:
− Improved the method for tracking water balance in the watershed.
− Improved the method for simulating flood‐plain infiltration
− Improved the methods for simulating P leaching in the model.
• We have gone through 8 modifications of our code
3. Best Professional Judgement: 
unacceptable water quality estimates.
PBIAS                              r2 NSE
Runoff                              Total Phosphorus                        Sediment
Full symbol: meets performance criteria
Hollow symbol: does not meet criteria
BPJ distributions of performance indicators
4. Full calibration excellent for runoff and P loss, 
marginal for sediment.
 Data sets used for calibration need to include useful 
information.
• Do not use a data set from a no‐till system with filter strips to 
calibrate sediment loss processes.
5. Include data from multiple management 
systems for model calibration. 
P/F
Runoff Total Phosphorus
r2 NSE PBIAS r2 NSE PBIAS
Calibration with one single management system
P 0.81 0.76 22 0.68 0.60 35
P 0.63 0.55 24 0.41 0.37 21
F 0.77 0.45 49 0.64 ‐0.17 92
F 0.62 0.18 ‐52 0.36 ‐0.56 89
F 0.66 0.38 ‐24 0.50 ‐0.99 ‐53
F 0.70 0.52 ‐13 0.51 0.13 ‐7
Calibration across several management systems
F 0.70 0.63 4 0.57 0.07 ‐8
P 0.59 0.38 43 0.47 0.30 49
P 0.82 0.70 30 0.71 0.68 28
Results from Franklin County site
6. Regional parameter set excellent for runoff, 
marginal for P loads at each site but excellent over 
the region. Unacceptable for sediment.
Validation Validation
7. BPJ not consistent with fully calibrated 
models for effectiveness of some BMP.
Runoff Relative Effect 
(%)
Total Phosphorus Relative 
Effect (%)
Scenario LC ALT SITE BPJ LC ALT SITE BPJ
GWW  ‐3.5 ‐2.8 ‐2.4 ‐7.2 ‐10.1 ‐14.3
WCC ‐9.7 ‐18.9 ‐2.1 ‐17.1 ‐19.4 ‐1.9
WCC&GWW ‐12.8 ‐20.7 ‐4.4 ‐23.4 ‐28.1 ‐16.0
TR&GWW 1.4 1.1 ‐0.6 ‐50.3 ‐48.9 ‐51.7
All three ‐8.1 ‐17.3 ‐2.5 ‐58.9 ‐59.0 ‐52.6
LC: local calibration,   ALT SITE: calibration using alternative site.
Overall outcome: Success with regional calibration 
presents opportunities to use APEX to generate P 
loss values beyond the calibrated watersheds
 This study was limited to:
• Soils with a restrictive layer.
• Low sediment loss management systems.

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