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Watershed Science and Engineering
VirginiaTech
Invent the Future
Biological Systems Engineering
This material is based on work supported by
the NSF under Grant No. CBET-1360280
Improving the Spatial Representation of Soil
Properties and Hydrology Using
Topographically Derived Initialization
Processes in the SWAT Model
Zachary M. Easton1, Daniel Fuka1, Amy Collick2
1Biological Systems Engineering, Virginia Tech
2Ag Food and Resource Sciences, UMES
Watershed Science and Engineering
VirginiaTech
Invent the Future
Biological Systems Engineering
Outline
• Introduction to Topography, Soils, and 
TopoSWAT
• Variable Area Hydrology (VSA) Case 
• USDA WE‐38, PA
• Hortonian Hydrology Case
• Reisel, TX
• What does this imply for modeling field 
management?
Watershed Science and Engineering
VirginiaTech
Invent the Future
Biological Systems Engineering
Hillside
Flood Plain
(valley bottoms)
Stream
Baseflow
(groundwater)
Shallow bedrock, 
fragipan, or other 
restrictive layer
Hillside
Drainage
Hydrology….Two Paradigms
Scientific Background
Watershed Science and Engineering
VirginiaTech
Invent the Future
Biological Systems Engineering
Rain
Infiltration
“Runoff”
Infiltration Excess or Hortonian
Runoff
Scientific Background
Watershed Science and Engineering
VirginiaTech
Invent the Future
Biological Systems Engineering
Infiltration Excess or Hortonian Runoff
Scientific Background
Ontl, T. A. & Schulte, L. A. (2012) Soil Carbon
Storage. Nature Education Knowledge 3(10):35
Watershed Science and Engineering
VirginiaTech
Invent the Future
Biological Systems Engineering
Rain
Subsurface
water
rises
Some areas 
saturate to the 
surface
Saturation Excess Runoff
Scientific Background
Watershed Science and Engineering
VirginiaTech
Invent the Future
Biological Systems Engineering
Rain
Rain on saturated 
areas becomes 
overland flow
Upland interflow may 
exfiltrate
Dunne and Black. 1970. Water Resour. Res.
Saturation Excess Runoff
Scientific Background
Watershed Science and Engineering
VirginiaTech
Invent the Future
Biological Systems EngineeringScientific Background
Saturation Excess Runoff
Modified for VSA. Ontl, T. A. & Schulte, L. A. (2012) Soil
Carbon Storage. Nature Education Knowledge 3(10):35
Watershed Science and Engineering
VirginiaTech
Invent the Future
Biological Systems Engineering









tan
ln
a
High:
Low:
Topographic
Index
33.10
3.52
Topographic Index
TI10= Low
Infiltration
TI= High
Infiltration
Easton et al. 2008. J. Hydrol
Easton et al. 2011.  Hydrol. Proc
TI
Classes


Scientific Background
TI10= High
Infiltration
TI= High
Infiltration
HortonianVSA
TI= Low
Infiltration
Watershed Science and Engineering 
Biological Systems EngineeringVirginiaTech
Invent the Future
Available at:
https://figshare.com/articles/To
poSWAT_Source/1342823
Watershed Science and Engineering 
Biological Systems EngineeringVirginiaTech
Invent the Future
Watershed Science and Engineering 
Biological Systems EngineeringVirginiaTech
Invent the Future
Watershed Science and Engineering 
Biological Systems EngineeringVirginiaTech
Invent the Future
Watershed Science and Engineering 
Biological Systems EngineeringVirginiaTech
Invent the Future
  ln
a
tan






High:
Low:
Topographic
Index
33.10
3.52
Z1=f(λ)
Saxton and Rawls, 2006; Easton et al. 2008;
Collick et al. 2014; Fuka et al. 2016
Wetness Index
Classes
10
1
Zi = soil depth

Z2=f(λ)
Z3=f(λ)Z4=f(λ)
Z5=f(λ)
Z6=f(λ)
Z7=f(λ)
Z10=f(λ)
Z8=f(λ)
Z9=f(λ)
Topographic Index
Wetness Index Classes
Watershed Science and Engineering 
Biological Systems EngineeringVirginiaTech
Invent the Future
Variable Source Area Hydrology
USDA WE38, PA
Watershed Science and Engineering 
Biological Systems EngineeringVirginiaTech
Invent the Future
Topography to explain soil depth 
and fractions
Using measured pedon data from ARS long term watershed
TI Class (Dry to Wet) TI Class (Dry to Wet)
SandorClay(%)
SoilDepth(cm)
Collick et al. 2014. Hydrol Proc
Watershed Science and Engineering 
Biological Systems EngineeringVirginiaTech
Invent the Future
High:
Low:
Topographic
Index
33.10
3.52
Soil Depth as explained by
Topography
Collick et al. 2014. Hydrol Proc
TI
Classes
10
1
Zi = local soil depth

Z2= 80 cm
Z6=100 cm
Z10= 130 cm
Watershed Science and Engineering 
Biological Systems EngineeringVirginiaTech
Invent the Future
Collick et al., 2014. Hydrol Proc
10-12 in precip
Watershed Science and Engineering 
Biological Systems EngineeringVirginiaTech
Invent the Future
Hortonian Dominated Systems 
Riesel, TX
Watershed Science and Engineering 
Biological Systems EngineeringVirginiaTech
Invent the Future
2 4 6 8 10
800
1000
1200
1400
1600
TI Class
DepthtoCHor.(mm)
R^2=0.28
y=50.80 x + 1025.52
(a)
2 4 6 8 10
5
10
15
20
25
TI ClassMeas.Ksat(mm/hr)
R^2=0.19
−y= 0.88 x + 17.00
(b)
2 4 6 8 10
25
30
35
40
45
TI Class
FieldCapacityat33kpa(%)
R^2=0.79
−y= 2.17 x + 46.00
(c)
2 4 6 8 10
1.65
1.70
1.75
1.80
1.85
TI Class
BulkDensity(g/cm^3)
R^2=0.17
−y= 0.01 x + 1.75
(d)
2 4 6 8 10
0.48
0.50
0.52
0.54
0.56
TI Class
Porosity(%)
R^2=0.50
y=0.01 x + 0.47
(e)
2 4 6 8 10
0.06
0.07
0.08
0.09
0.10
0.11
0.12
0.13
TI Class
AWC(volume)
R^2=0.71
−y= 0.01 x + 0.13
(f)
Soil Depth
AWC
Field CapacityKsat
PorosityBulk Density
TI Class
SoilDepth(cm)
Ksat(mm/hr)
Fieldcapacity(33kpa%)
BulkDensity(gcm-3)
Porosity(%)
AWC(cm3cm-3)
Fuka et al. 2016 Hydrol Proc
TI Class TI Class
TI Class TI ClassTI Class
Watershed Science and Engineering 
Biological Systems EngineeringVirginiaTech
Invent the Future
High:
Low:
Topographic
Index
33.10
3.52
Available Water Content as 
explained by Topography
TI
Classes



AWC2= 0.12
AWC6=0.09
AWC10= 0.06
Fuka et al. 2016. Hydrol Proc
Watershed Science and Engineering
VirginiaTech
Invent the Future
Biological Systems Engineering
TI adjusted FAO Soils ( ) vs base SSURGO Soils ( )
●
●
● ●
●
●
●
●
800 1000 1200 1400 1600 1800 2000
800
1000
1200
1400
1600
1800
2000
Depth to C Hor.(mm)
Est.ZMX
R^2=0.28
y=0.33 x + 538.88
(a)Soil
Depth
● ●
●●
●
●
●
●
0 10 20 30 40 50 60
0
10
20
30
40
50
60
Meas. Ksat(mm/hr)
Est.Ksat(mm/hr)
R^2=0.59
−y=2.07 x + 15.38
(b)Ksa
t
SoilBasedSoilDepth(mm)
SoilBasedKsat(mm/hr)
Pit Soil Depth (mm) Pit Ksat (mm/hr)
How does SSURGO perform?
Fuka et al. 2015 Hydrol Proc
Watershed Science and Engineering
VirginiaTech
Invent the Future
Biological Systems Engineering
Discussion
• TI initialization exhibited strong correlations with field level 
measurements 
• Resulted in improved predictions of field level contaminant transport
• SSURGO initialization captured soil properties and the hydrologic 
response poorly 
• Due in part to the overestimated soil depth and as a result AWC 
• Adjusting model parameters based on topography can result in more 
accurate soil characterization and improve model performance at the 
field scale
• A solution that combines BOTH Hortonian AND Saturation Excess 
processes into watershed models is needed, and our next release. 

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