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Identification of Relationships among Morphometric
Parameters and QSWAT Model Output
International Conference on SWAT, University of Natural
Resources and Life Sciences, BOKU, Vienna, Austria,
July 17-19, 2019
Rohit Goyal and Priyamitra Munoth
Department of Civil Engineering
Malaviya National Institute of Technology, Jaipur
India
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1. Introduction
2. Study Area
3. Materials and Methods
4. Results
5. Conclusions
References
Contents
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1. INTRODUCTION
• To understand the characteristics of any hydrological system like
topography, slope, runoff characteristics, surface water potential
etc. the hydro morphological analysis is the first step.
• The drainage map is typically the first map that is generated in any
watershed-development project (Pakhmode et al., 2003) and the
morphology of a catchment has a strong relationship with the
transformation process of rainfall into runoff (Saravanan and
Manjula 2015).
• At present the automated extraction of topographic parameters
from Digital elevation Modal (DEM) using Geographical
information system (GIS) and hydrological models are recognized
as a viable alternative to traditional surveys and manual evaluation
of topographic maps (Salih et al., 2017; Ehsani et al., 2010).
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• Hydrological Models have been developed for estimating various
geomorphological and hydrological variables of any watershed.
• Among these models, The Soil and Water Assessment Tool (SWAT)
has been widely used and successfully applied to several rivers
basins across the globe.
• Understanding the relationships between morphometric and
hydrological parameters would enable to recognize the dominant
variables acting on a particular basin.
• Therefore the objective of present work is to identify various
drainage and hydrological parameters and to understand the
relationship among them for the Upper Tapi River Sub-basin, India.
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2. STUDY AREA
• The study area covers the Upper part of Tapi Basin from Multai
(Madhya Pradesh), the origin of Tapi River up to Hathnur Reservoir
(Maharashtra State) known as Upper Tapi river sub-basin.
• The Upper Tapi river, travels a distance of about 350km till it drains
into Hathnur Reservoir from Multai. The catchment area of Upper
Tapi river sub-basin is about 10,600 km2.
• The annual average rainfall of the area is around 833mm.
• Discharge is monitored at Burhanpur gauge station.
• The main land use types in the watershed are Agriculture, Forest
and Rangeland.
• The elevation ranges from 188m to 1166m above mean sea level
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Study Area Map
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3. Materials and Methods
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Data Type Resolution Source
Digital Elevation Model
(DEM)
90m Shuttle Radar Topography Mission
(SRTM)
http://www2.ipl.nasa.gov/srtm/
Soil Data 1km FAO-UNESCO global soil map
http:/www.fao.org/nr/land/soils/digital-
soil-map-of-the-world
Rainfall Data
Temperature, Relative
Humidity, Solar
Radiation, Wind speed
0.5ox 0.5o Indian Meteorological Department (IMD)
http://www.imdpune.gov.in
0.35o x 0.35o Global weather Data (CFSR data)
https://globalweather.tamu.edu/
Discharge
and Sediment
Observed India WRIS portal
http:/www.india-wris.nrsc.gov.in
Land use 30m LANDSAT ETM+
https://earthexplorer.usgs.gov/
Table 1: Input Data
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Calculation of Morphometric Parameter’s
Identify Sinks Filled Sinks DEM without Sinks
Flow Direction Flow Accumulation Threshold Stream Grid
Stream Network Stream Order Stream lengths Other Parameters
DEM
Define Pour Point Watershed Delineation
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Morphometric
parameterFormula Reference
Linear AspectsStream order (Su) Hierarchical rank Strahler (1964)
Stream length (Lu)Length of
stream(Lu=Lu1+Lu2…Lun)Horton (1945)
Mean stream length (Lsm)Lsm =Lu/Nu
Where (Nu) = Stream NumberStrahler (1964)
Stream length ratio(Lur) Lur = Lsm / Lsm-1 Horton (1945)
Bifurcation ratio (Rbf) Rbf = Nu / Nu + 1 Schumn (1956)
Mean bifurcation ratio(Rbf)Average of bifurcation ratios of all
ordersStrahler (1957)
Length of overland flow (Lg) Lg = 1/2Dd Horton (1945)
Basin length (Lb) Lb = 1.321A0.568 Nookaratnam (2005)
Basin Perimeter (P)Outer boundary measured with
GIS softwareSchumn (1956)
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Aerial AspectsDrainage density (Dd) Dd = Lu /A Horton (1932)
Basin Area (A) Area measured with GIS software Strahler (1964)
Stream frequency (Fs) Fs = Nu / A Horton (1932)
Texture ratio (Rt) Rt= Nu / p Horton (1932)
Infiltration Number ( If) If = Dd × Fs Zavoiance (1985)
Form factor (Rf) Rf = A/Lb2 Horton (1932)
Shape factor (Bs) Bs = Lb2/A Nookaratnam (2005)
Circulatory ratio (Rc) Rc = 4 x π x A /P2 Miller (1953)
Elongation ratio (Re) Re =(4 x A / π )0.5/ Lb Schumn (1956)
Compactness constant (Cc) Cc = 0.2821P/A0.5 Horton (1945)
Constant channel
maintenance(C)C = 1 / Dd Schumn (1956)
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Relief Aspects
Ruggedness Number (Rn)Rn = Dd * (H /1000)
Where (H)= Basin relief in (m)Strahler (1957)
Relief Ratio Rhl = H / Lb Schumn (1956)
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QSWAT Model development
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4. Results and Discussions ❑ Linear Morphometric parameters of Upper Tapi River Sub-Basin
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Sub
Watersheds
(SW)
No. of Streams
of each Order (Nu)Stream Length of each Order (Lu) (km)
1 2 3 4 5 Total 1 2 3 4 5 Total
SW1
13 7 3 1 0 24 72 35 13 5 0 125SW2
10 5 4 0 0 19 40 24 30 0 0 94SW3
10 4 5 0 0 19 49 23 29 0 0 101SW4
50 27 4 1 0 82 224 133 18 90 0 465SW5
25 12 12 0 0 49 120 51 64 0 0 235SW6
26 11 7 1 0 45 75 47 26 21 0 169SW7
12 4 6 0 0 22 37 31 23 0 0 91SW8
24 12 9 0 0 45 86 55 34 0 0 175SW9
21 11 2 2 1 37 114 109 31 5 49 308SW10
30 14 5 0 1 50 163 62 75 0 46 346SW11
10 5 0 1 1 17 64 20 17 7 24 132SW12
60 34 5 1 1 101 256 166 30 2 66 520SW13
11 6 2 0 1 20 32 27 10 0 14 83SW14
29 19 4 0 1 53 161 103 33 0 39 336Upper
Tapi River
Sub-Basin331 171 68 7 6 583 1493 886 433 130 238 3180
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Sub
Watersheds
(SW)
Mean
Bifurcation ratios
(Rbf )
Length of overland flow (Lg)
(km)
Basin length (Lb)
(km)
Basin Perimeter (P)
(km)
SW1 2.4 1.79 41.9 148.5
SW2
1.63 1.72 35.46 142.5
SW3
1.65 1.67 36.31 169.8
SW4
4.2 1.92 93.14 331.5
SW5
1.54 1.92 63 245.7
SW6
3.64 2 53.08 193.9
SW7
1.84 1.79 35.02 159
SW8
1.67 1.72 50.08 187.4
SW9
2.84 1.51 63.31 262.9
SW10
1.57 1.42 66.89 282.5
SW11
1.16 1.38 37.83 164
SW12
3.93 1.66 91.03 328.4
SW13
1.88 1.51 30.34 104.4
SW14
3.53 1.43 64.86 244.7
Upper Tapi
River
Sub-Bain
3.82 1.66 255.36 1057.78
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Aerial and Relief aspects of Upper Tapi River Sub-Basin
Morphometric
parameters
SW
1
SW
2
SW
3
SW
4
SW
5
SW
6
SW
7
SW
8
SW
9
SW
10
SW
11
SW
12
SW
13
SW
14
Upper
Tapi
River
Sub
Basin
Drainage density
(Dd)
0.28 0.29 0.3 0.26 0.26 0.25 0.28 0.29 0.33 0.35 0.36 0.3 0.33 0.35 0.3
Basin Area (A)
(km2)
440 328 342 1794 901 667 320 602 909 1001 367 1723 249 949 10595
Stream
frequency (Fs)
0.05 0.06 0.06 0.05 0.05 0.07 0.07 0.07 0.04 0.05 0.05 0.06 0.08 0.06 0.06
Texture ratio
(Rt) 0.16 0.13 0.11 0.25 0.2 0.23 0.14 0.24 0.14 0.18 0.1 0.31 0.19 0.22 0.55
Infiltration
Number ( If)
0.01 0.02 0.02 0.01 0.01 0.02 0.02 0.02 0.01 0.02 0.02 0.02 0.03 0.02 0.02
Form factor
(Rf)
0.25 0.26 0.26 0.21 0.23 0.24 0.26 0.24 0.23 0.22 0.26 0.21 0.27 0.23 0.16
Shape factor
(Bs)
4 3.85 3.85 4.76 4.35 4.17 3.85 4.17 4.35 4.55 3.85 4.76 3.7 4.35 6.25
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Morphometric
parameters
SW
1
SW
2
SW
3
SW
4
SW
5
SW
6
SW
7
SW
8
SW
9
SW
10
SW
11
SW1
2
SW
13
SW1
4
Upper
Tapi
River
Sub
Basin
Circulatory ratio
(Rc)
0.25 0.2 0.15 0.21 0.19 0.22 0.16 0.22 0.17 0.16 0.17 0.2 0.29 0.2 0.12
Elongation ratio
(Re) 0.56 0.58 0.57 0.51 0.54 0.55 0.58 0.55 0.54 0.53 0.57 0.51 0.59 0.54 0.45
Compactness
constant (Cc)
2 2.22 2.59 2.21 2.31 2.12 2.5 2.15 2.46 2.52 2.41 2.23 1.87 2.24 2.9
Constant
channel
maintenance(C)
3.57 3.45 3.33 3.85 3.85 4 3.57 3.45 3.03 2.86 2.78 3.33 3.03 2.86 3.33
Relief(m) 417 416 800 500 877 890 631 702 665 772 312 627 482 487 978
Ruggedness
Number (Rn)
0.12 0.12 0.24 0.13 0.23 0.22 0.18 0.2 0.22 0.27 0.11 0.19 0.16 0.17 0.29
Relief Ratio 9.9 11.7 22.0 5.37 13.9 16.7 18.0 14.0 10.5 11.5 8.25 6.89 15.89 7.51 3.83
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Analysis of QSWAT Output
Parameter Min Value Max Value Calibrated Values
r_CN2.mgt -0.1 0.1 -0.015
v_GWQMN.gw 0 5000 2287
v_ESCO.hru 0 1 0.9
r_SOL_AWC(..).sol 0.02 0.2 0.14
v_GW_REVAP.gw 0.02 0.2 0.02
v_REVAPMN.gw 0 500 412
Parameters used in calibration and their calibrated values
Variable Application Year P-factor R-factor R2 NSE PBIAS
Discharge
Calibration 1991-2005 0.67 0.29 0.75 0.75 1.1
Validation 2006-2013 0.66 0.31 0.90 0.89 -7.2
Performance evaluation of developed model
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Observed and Simulated Discharge (m3/sec) for calibration period
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Observed and Simulated Discharge (m3/sec) for validation period
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Sub
Watersheds
QSWAT Output
SURQ
(mm)
ET
(mm)
PET
(mm)
GWQ
(mm)
PERC
(mm)
SW
(mm)
SYLD
(t/ha)
WYLD
(mm)
SW1 448.46 444.76 1749.59 193.31 266.67 944.65 57.05 667.53
SW2 269.59 428.03 1781.68 114.34 197.15 843.82 35.52 411.32
SW3 334.45 459.79 1686.72 231.58 292.97 827.84 21.02 619.87
SW4 222.58 423.23 1697.89 81.24 165.19 919.1 27.6 321.16
SW5 438 420.81 1729.62 269.03 337.66 671.97 5.4 767.32
SW6 464.47 384.39 1744.97 277.04 347.13 551.39 30.62 802.02
SW7 323 377.61 1808.83 104.38 185.21 719.11 69..44 449.17
SW8 196.08 386.51 1882.73 48.19 136.06 667.24 56..47 266.35
SW9 419.09 450.38 1736.3 199.17 272.15 887.97 39.74 662.38
SW10 485.19 457.71 1709.9 243.49 312.13 891.09 17.3 729.27
SW11 292.7 444.91 1760.27 220.54 293.72 954.25 42.55 735.86
SW12 465.63 406.39 1808.77 106.79 189.11 813.67 51.52 419.2
SW13 352.95 362.17 1842.78 18.27 81.48 1044.33 199.18 384.23
SW14 254.76 375.03 1859.41 10.11 85.37 943.9 125.07 274.23
Upper Tapi
River
Sub-Basin
336.11 417.3 1764.3 221.98 221.9 834.3 47.31 512.44
Hydrological parameters from QSWAT Model
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Relationships among Morphometric Parameters and
QSWAT Output
Morphometric
ParameterQSWAT Output
SURQ ET PET GWQ PERC SW SYLD WYLD
Dd 0.09 0.40 0.12 0.08 0.10 0.71 0.30 0.0
Fs 0.58 0.97 0.92 0.80 0.75 0.0 0.50 0.81
Rt 0.0 0.07 0.02 0.0 0.03 0.07 0.0 0.05
If 0.14 0.59 0.57 0.48 0.53 0.04 0.70 0.34
Rf 0.0 0.07 0.16 0.24 0.05 0.09 0.20 0.0
Bs 0.0 0.04 0.10 0.20 0.02 0.07 0.11 0.0
Rc 0.0 0.30 0.25 0.42 0.30 0.18 0.46 0.09
Re 0.0 0.05 0.11 0.18 0.03 0.06 0.14 0.0
Cc 0.0 0.18 0.14 0.21 0.11 0.02 0.22 0.05
C 0.1 0.36 0.15 0.12 0.15 0.74 0.33 0.02
Relief 0.14 0.0 0.07 0.30 0.18 0.53 0.15 0.10
Rn 0.19 0.04 0.05 0.23 0.13 0.24 0.09 0.09
Relief Ratio 0.01 0.01 0.0 0.21 0.04 0.18 0.0 0.05
R2 values for Morphometric parameters and QSWAT Output
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5. Conclusions • The drainage basin analysis is important in any hydrological
investigation like assessment of groundwater potential, groundwater
management, and environmental assessment.
• From the morphometric analyses, it can be concluded that the Upper
Tapi River basin is elongated in shape and not prone to flood.
• The low drainage density of the basin, indicating permeable strata
and moderate runoff.
• This is favourable for groundwater recharge, thus pointing to
potential areas for groundwater development, which is further
confirmed by the low value of the circulatory ratio.
• The moderate bifurcation ratio indicates a strong relief and a wide
variety of soils and geology.
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• The morphometric analysis helps in better understanding the nature
of landforms, slope, drainage system, runoff and hydrological
characteristic of the Upper Tapi river basin.
• Integration of morphometric parameters, GIS and QSWAT model
have been done in this study to overcome the challenge of scarcity
of observed data.
• In the absence of observed data, relationship between hydrological
and morphometric parameters could be used to gauge the
effectiveness of output of the SWAT model.
• The study reveals that Stream frequency (Fs), Infiltration Number
(If), and Circulatory ratio (Rc) are well correlated with hydrological
variables.
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References • Abbaspour, K.C., Yang, J., Maximov, I., Siber, R., Bonger, K., Mieleitner, J., Zobrist, J., and
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SWAT. Journal of Hydrology, 333 (2), 413-430.
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EAWAG Swiss Federal Institute of Aquatic Science and Technology 1-103.
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continental-scale hydrology and water quality model for Europe: Calibration and uncertainty of a
high-resolution large-scale SWAT model. Journal of Hydrology 524, 733–752.
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assessment part I: Model development. Journal of the American Water Resources Association 34:73-
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approach to quantitative morphology. Bulletin of Geological Society of America, 56, 275-370.
• Horton, R. E. (1932). Drainage basin characteristics, Trans. Am. Geophys. Unon.13: 350-361.
• Strahler, A. (1957). Quantitative analysis of watershed geomorphology. Transaction AGU38, 913–920.
• Strahler, A. N. (1964). Quantitative geomorphology of drainage basins and channel networks. In:
Chow V.T. (ed.), Handbook of Applied Hydrology. McGraw Hill Book Company, New York.
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Jersey. Geological Society of America, Bulletin. 67, 597–646.
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Thank you