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Estimation of Phosphorus Loss From Agricultural Land in the Southern Region of the USA Using the APEX, TBET, and
APLE Models
Deanna Osmond, NC State UniversityAdam Forsberg and David Radcliffe, University of Georgia
John Ramirez, Mississippi State UniversityDan Storm and Aaron Mittelstet, Oklahoma State University
Carl Bolster, ARS
Waste to Worth ConferenceSeattle, WA
March 30 – April 2, 2015
Comparing Ratings of the Southern P Indices: Prior Work
TX
OK
FL
AL GA
AR
LA
NC
MS
TN
KY
SC
²0 250 500125 Miles
Albers Equal-Area Conic
Southern States Involved in the USDA-NRCS Funded Conservation
Innovation Grant (CIG)
Southern CIG: Objectives
1. Determine pre-existing watershed or plot-scale (11) sites where accuracy of P Indices to estimate site P loss potential can be evaluated.
2. Compare predictions of P-Indices to water quality data from benchmark sites.
3. Compare fate and transport models (APEX, TBET, APLE) against water quality data. Use water quality data (monitored or predicted by model) to guide refinement of P Indices.
4. Compare predictions of P Indices against fate and transport water quality models (APEX, TBET, APLE) for calibrated and uncalibrated models.
5. Refine P Indices to ensure better consistency in ratings across state boundaries and within physiographic provinces.
Locations of Data Sets
TX
OK
FL
AL GA
AR
LA
NC
MS
TN
KY
SC
²0 250 500125 Miles
Albers Equal-Area Conic
Southern Field SitesState # Plots Date range Site-years Crop STP range (ppm)
1 2 3 4AR 7 2009 – 2011 21 Pasture 81 - 183 Captina (C)GA 6 1995 – 1998 24 Pasture 14 - 142 Cecil (B) Altavista (C) Sedgefield (C) Helena (C)
NC 5 2011-2013 15Corn with wheat
cover44-121 Delanco (C)
MS 2 1996-1999 8Cotton or soybens with wheat cover
37-79 Dubbs (B) Tensas (D) Alligator (D) Dundee (C)
OK 1 1972-1976 4 Cotton 20 McLain (C) Reinach (C)OK 1 2006-2007 1.17 Pasture 50 Clarksville (B)OK 1 1977-1992 16 Native grass 15 Bethany (C)OK 1 1980-1985 6 Wheat 35 Norge (B)TX 1 1998-2001 4 Hay 435 Duffau (B)TX 1 2005-2008 4 Sorghum/Oats 34 Topsey (C) Brackett (C) Krum (D)TX 1 2005-2008 4 Native grass 10 Nuff (C)
TX 1 2001-2008 7Corn with wheat
cover51 Houston Black (D)
Soil Series (hydro group)
Texas BMP Evaluation Tool (TBET)
Climate • Daily rainfall &
temperature
Soils• Up to 3 series
Land use• Crop system
Topography• Field area• Field slope
Soil Test P• Mehlich III
Fertilization
TBET Model ProcessCalibrated
Single year simulations run on a daily time-step• (1/1/YYYY – 12/31/YYYY)
2 years of warm-up• Initialize soil-moisture profile and nutrient pools
Compared model predictions to measured values on an event-basis• Events within each year were summed for annual comparisons
Runoff events greater than 0.1 mm were compared• If event-basis runoff spanned more than one day, total runoff for the entire
storm (up to three days) was lumped for analysis
Model evaluation• Slope, intercept, R-squared• Nash-Sutcliffe Efficiency• Percent Bias
TBET Baseline Results: RunoffOverall annual observed vs predicted runoff
0 100 200 300 400 500 600 700 800 900 10000
200
400
600
800
1000f(x) = 1.12036092139429 x + 39.5352427294702R² = 0.709923934579262
GANCMSTX/OK
Observed runoff (mm/yr)
Sim
ulat
ed ru
noff
(mm
/yr)
SiteLinear Relationship
NSE PBIASIntercept Slope R2
Overall 40 1.1 0.7 0.3 34AR 31 2.2 0.9 -5.1 164GA 120 0.5 0.5 0.1 30NC 104 1.1 0.7 0.0 46MS 39 1.3 0.9 0.1 45TX/OK -18 0.8 0.8 0.7 -30
TBET Baseline Results: Sediment
Overall annual observed vs predicted sediment
0 10 20 30 40 50 60 70 80 90 1000
20
40
60
80
100
f(x) = 2.63294238712031 x + 4.65572569362076R² = 0.106239571073184
NCMSTX/OKAR
Observed SS (ton/ha/yr)
Sim
ulat
ed S
S (t
on/h
a/yr
)
Site Linear Relationship NSE PBIASIntercept Slope R2
Overall 4.7 2.6 0.1 -67.6 488AR 0.0 3.8 0.3 -66.1 378GA -- -- -- -- --NC 20.8 7.1 0.4 -304.6 1698MS 0.3 1.3 0.8 0.4 43TX/OK 0.4 0.4 0.3 0.1 -40
TBET Baseline Results: Total POverall annual observed vs predicted total P
Site Linear Relationship NSE PBIASIntercept Slope R2
Overall 3.5 1.7 0.1 -26.6 166
AR 0.7 0.8 0.5 0.1 39
GA 2.1 0.3 0.1 -0.4 -43
NC 21.7 5.9 0.5 -158.3 961
MS 1.0 0.4 0.4 0.4 -16
TX/OK 0.6 0.4 0.2 0.1 -36
0 50 100 1500
50
100
150
f(x) = 1.69410424381338 x + 3.52490790442359R² = 0.102774162089251
GANCMSTX/OK
Observed TP (kg/ha/yr)
Sim
ulat
ed T
P (k
g/ha
/yr)
TBET Baseline Results: Dissolved P
Overall annual observed vs predicted dissolved P
0 2 4 6 8 10 12 14 16 18 200
2
4
6
8
10
12
14
16
18
20
f(x) = 0.469034620588692 x + 0.273556242110901R² = 0.485190550099921
GANCMSTX/OKAR
Observed DP (kg/ha/yr)
Sim
ulat
ed D
P (k
g/ha
/yr)
SiteLinear Relationship
NSE PBIASIntercept
Slope R2
Overall 0.3 0.5 0.5 0.4 -41AR 0.4 0.5 0.4 0.4 -10GA 1.6 0.3 0.2 -0.2 -40NC 0.2 0.3 0.5 0.4 -36MS 0.0 0.3 0.9 -0.7 -72TX/OK 0.0 0.2 0.2 -0.5 -77
TBET Preliminary ConclusionsTBET was used after being calibrated• Runoff predictions are satisfactory
with slight overprediction• Sediment for AR & NC is
overpredicted• Total P is affected by
overprediction of sediment and underprediction of dissolved P, which is systematically underpredicted
• Modeling TBET was very time consuming with uncertain outcomes thus it may not be an appropriate field-based tool for predicting P loss especially if it is uncalibrated
R2 NSE PBIASRunoff 0.74 0.42 22Sediment 0.07 -77.61 489Total P 0.08 -30.53 176Dissolved P 0.49 0.40 -44
Agricultural Policy/Environmental eXtender
(APEX)
• Underpredicted estimations when annual Q< 100mm and overpredicted when Q > 100mm
• Poor correlation and performance
Line 1:1Line 1:1
Line 1:1
APEX: Georgia Results (Flow, TP, and DP)
Line 1:1
Line 1:1
Line 1:1
Line 1:1
APEX: North Carolina Results (Flow, Soil Loss, TP, and DP)
APEX Preliminary Conclusion (Uncalibrated)
• Acceptable model performance predicting runoff• Very inaccurate predictions for phosphorus losses• Inaccurate soil erosion prediction in small plots • Tillage practices appears to be a factor that determines
model performance (e.g. overprediction or underprediction)
• Model setup required additional information that was not available in the southern databases and most producers would not have this information either
• Modeling APEX was very time consuming with uncertain outcomes thus it may not be an appropriate field-based tool for predicting P loss especially if it is uncalibrated
Annual P Loss Estimator (APLE)
•User-friendly spreadsheet•Annual time step•Requires runoff and erosion as inputs•Does not require calibration•Has most up-to-date fertilizer and manure application algorithm
APLE Model ProcessUncalibrated
Runoff and erosion values obtained from TBET model simulations
Does not require warm-up
Compared model predictions to measured values on an annual basis
• Events within each year were summed for annual comparisons
Model evaluation• Slope, intercept, R2
• Nash-Sutcliffe Efficiency (NSE)• Percent Bias (PBIAS)
APLE Results: Total POverall annual observed vs predicted total P
SiteLinear Relationship
NSE PBIASIntercept
Slope R2
Overall 3.4 1.5 0.2 -18 -140AR 0.7 1.0 0.6 0.3 -64GA 1.5 0.4 0.3 0.1 37NC 15 4.4 0.4 -3 -670MS -0.4 1.4 0.8 -18 -24TX/OK 0.3 0.2 0.4 -0.1 66
Measured TP loss (kg/ha)
0 5 10 15 20 25
Pre
dicte
d TP
loss (kg/ha
)
0
20
40
60
80
100
120
NCMSGAARTX/OK
APLE Results: Dissolved POverall annual observed vs predicted dissolved P
SiteLinear Relationship
NSE PBIASIntercept
Slope R2
Overall 0.99 0.6 0.5 0.5 4.3AR 0.5 1.0 0.7 0.3 -51GA 1.2 0.5 0.4 0.1 28NC 1.6 0.5 0.1 -3 -180MS 0.3 2.0 0.3 -18 -160TX/OK 0.3 -0.1 0.03 -1.4 49
Measured DRP loss (kg/ha)
0 5 10 15
Pre
dicte
d DR
P lo
ss (kg/ha
)
0
2
4
6
8
10
12
14
16
NCMSGAARTX/OK
APLE Preliminary Conclusions
• APLE is uncalibrated• APLE uses modeled runoff and
erosion• Dissolved P is better than total P
R2 NSE PBIASRunoff -- -- --Sediment -- --- --Total P 0.2 -18 -140Dissolved P 0.5 0.5 4.3
Conclusions
• Flow generally predicted better than sediment, TP or DP
• Modeling was very time consuming with uncertain outcomes thus it may not be an appropriate field-based tool for predicting P loss
Questions
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