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European Journal of Scientific Research
ISSN 1450-216X Vol.34 No.4 (2009), pp.575-590
© EuroJournals Publishing, Inc. 2009
http://www.eurojournals.com/ejsr.htm


Application of Natural Resources Conservation Service – Curve
     Number Method for Runoff Estimation with GIS in
                 the Kardeh Watershed, Iran

                                    Mahboubeh Ebrahimian
                  Faculty of Forestry, University Putra Malaysia, 43400 (UPM)
                                  Serdang, Selangor, Malaysia
                                  E-mail: eb_m60@yahoo.com
                          Tel: +60 (3)89467202; Fax: +60 (3)89467202

                                          Lai Food See
                  Faculty of Forestry, University Putra Malaysia, 43400 (UPM)
                                  Serdang, Selangor, Malaysia

                                     Mohd Hasmadi Ismail
                  Faculty of Forestry, University Putra Malaysia, 43400 (UPM)
                                  Serdang, Selangor, Malaysia

                                       Ismail Abdul Malek
                  Faculty of Forestry, University Putra Malaysia, 43400 (UPM)
                                  Serdang, Selangor, Malaysia

                                            Abstract

            This study aims to determine the runoff depth using NRCS-CN method with GIS
    and the effect of slope on runoff generation. The study was carried out in the Kardeh
    watershed about 42 km north of Mashhad, Khorasan Razavi province, Iran. The USDA-
    NRCS-CN method was applied for estimating the runoff depth in the semi-arid Kardeh
    watershed. Hydrologic soil group, land use and slope maps were generated in GIS
    environment. The curve number values from NRCS standard tables were assigned to the
    intersected hydrologic soil groups and land use maps to generate CN values map. The
    curve number method was followed to estimate runoff depth for selected storm events in
    the watershed. Effect of slope on CN values and runoff depth was determined. The results
    showed that there was no significant difference between observed and estimated runoff
    depths (P > 0.05). Statistically positive correlations were detected between observed and
    estimated runoff depth (r = 0.56; P < 0.01). About 9 % and 6 % of the estimated and slope-
    adjusted runoff values were within ±10% of the recorded values, respectively. In addition,
    about 43 and 37 percent of the estimated and slope-adjusted values were in error by more
    than ±50 %, respectively.


     Keywords: Curve Number, Geographic Information System, Kardeh watershed, Slope-
               adjusted runoff depth
Application of Natural Resources Conservation Service – Curve Number Method for Runoff
Estimation with GIS in the Kardeh Watershed, Iran                                                   576

1. Introduction
Due to serious soil erosion and water deficiency in most areas of Iran, natural resources conservation is
a vital issue. Despite these pressing issues, few studies have been carried out in rainfall-runoff
modelling in Iran. Conventional methods of runoff measurement are costly, time consuming, error-
prone and difficult because of inaccessible terrain in many of the watersheds. Thus, the use of new
tools, for instance GIS, to generate supporting land-based data for conserving soil and water resources
in watershed planning is very much needed. In addition, most basins in Iran do not have sufficient
numbers of gauges to record rainfall and runoff. Scarcity of reliable recorded data therefore is another
serious problem which planners and researchers face for the analysis of the hydrology of arid regions.
        There are several approaches to estimate ungauged basin runoff. Examples are the University of
British Columbia Watershed Model (UBCWM), Artificial Neural Network (ANN), SCS Curve
Number model, and Geomorphological Instantaneous Unit Hydrograph (GIUH). Among these
methods, the SCS method (now called Natural Resources Conservation service Curve Number method
(NRCS-CN)) is widely used because of its flexibility and simplicity. The method combines the
watershed parameters and climatic factors in one entity called the Curve Number (CN). Many
researchers (Pandey and Sahu, 2002; Nayak and Jaiswal, 2003; Zhan and Huang, 2004; Gandini and
Usunoff, 2004) have utilized the Geographic Information System (GIS) technique to estimate runoff
Curve Number value throughout the world. In India, Pandy and Sahu (2002) pointed out that the land
use/land cover is an important parameter input of the SCS-CN model. Nayak and Jaiswal (2003) found
that there was a good correlation between the measured and estimated runoff depth using GIS and CN.
They concluded that GIS is an efficient tool for the preparation of most of the input data required by
the SCS curve number model. Akhondi (2001) pointed out that correlation between observed and
estimated discharge using CN method is decreased by increasing watershed area. While having runoff
data is essential in all watershed development and management plans, very little work has been
previously done in the watersheds of Iran in estimating runoff from rainfall in ungauged watersheds.
This study emphasizes the use of GIS technique to develop a data base containing all the information
of the study watershed for direct runoff depth estimation using the NRCS-CN model. The objective of
this study was to evaluate the use of NRCS Curve Number method with GIS for estimating runoff
depth and the effect of slope on CN values and runoff generation in a well-equipped gauged watershed.
If the estimated runoff data are accurate compared to observed runoff in this watershed, then the
NRCS-CN method can be recommended for estimating runoff in ungauged watersheds of the region.


2. Materials and methods
2.1. Study area
This study was conducted in the Kardeh watershed about 42 km north of Mashhad, Khorasan Razavi
province, north eastern Iran (Figure 1). The watershed lies between 59º 26´ 3˝ to 59º 37´ 17˝ E
longitude and 36º 37´ 17˝ to 36º 58´ 25˝ N latitude. Kardeh watershed is 448.2 km2 in size. The
elevation of the watershed ranges from 1320 to 2960 m above mean sea level. The climate of the
watershed is semi-arid. The mean annual precipitation is about 296.4 mm. Temperature in the study
watershed is low with a mean annual of 11.6 °C. The mean relative humidity is approximately 52.6%,
but varies from 32.1 % in August to 82.3% in February.
        In most parts of the study watershed, topsoil is loamy and the subsoil is sandy clay loamy
except in alluvial deposits that have relatively heavy texture of clay. In barren areas where soil is
shallow, fine platy structure surface soil and compressed blocky structure subsurface soil are be sound.
The major land uses in the study watershed are shown in Figure 1. About 73% of Kardeh has occupied
by rangelands. Forested areas have been degraded because of severe utilization over the time and only
single trees are a sign of degraded forest in highlands (Table 1).
577              Mahboubeh Ebrahimian, Lai Food See, Mohd Hasmadi Ismail and Ismail Abdul Malek
Table 1:    Land use/ cover classes present in the Kardeh catchment*

 Land use/ Land cover                              Area (km²)                       % of total area
 Dry farmland (rainfed farming)                        66.90                               15
 Forest Thin                                           25.50                               5.7
        Fair                                           5.20                                1.2
 Rangeland Good condition                              32.80                               7.3
            Fair condition                             92.70                              20.7
            Poor condition                            204.40                              45.5
 Orchards and irrigation farmland                      17.40                               3.9
 Settlement                                            0.28                                0.1
 Rocks                                                 2.90                                0.6
 Total area                                           448.20                               100
*Watershed Management Department of Khorasan Razavi Jihad-e-Agriculture Organization, 1996

                                  Figure 1: Location of the study area in Iran.




2.2. Data sources
Topographic maps at the scale of 1:25000 prepared by the National Cartographic Centre (NCC) were
used for demarcation of study watershed border and as basic maps in generation of other ancillary
maps. Digitized land use/cover map prepared by the Watershed Management Department of Khorasan
Razavi Jihad-e-Agriculture Organization in 1996 was used for identification of types and areas of land
use. Digitized soil map at the scale of 1:25000 and soil information were taken from Khorasan Razavi
General Office of Natural Resources. Meteorological data including rainfall, evaporation, and
temperature and runoff data (1990-2000) were obtained from Khorasan Razavi Regional Water
Authority.
Application of Natural Resources Conservation Service – Curve Number Method for Runoff
Estimation with GIS in the Kardeh Watershed, Iran                                                   578

2.3. Software used for data processing
Arc View version 3.3 powerful Geographic Information System (GIS) software was used for creating,
managing and generation of different layers and maps. The SPSS software was used for statistical
analysis of data. The Microsoft Excel was used for mathematical calculations.

                          Figure 2: Land use/ cover map of the study watershed.




2.4. Generating hydrologic soil group (HSGs) map
The hydrologic soil group is an attribute of the soil mapping unit (each soil mapping unit is assigned a
particular hydrologic soil group: A, B, C, or D). In the preparation of the hydrologic soil group (HSG)
map, a digital text file of soil data was prepared to assign the soil data layers based on soil mapping
unit. Spatial Analyst and XTools extensions of Arc View 3.3 were applied for map preparation. The
Soil Surveys from NRCS which provides a list of soil types and corresponding hydrologic soil groups
were used. The generated map contains individual polygons of the characterized hydrologic soil group.

2.5. Generating CN map
To create the CN map, the hydrologic soil group and land use maps were uploaded to the Arc View
platform. The Xtools extension of Arc View was used to generate the CN map. The hydrologic soil
group field from the soil theme and the land use field from the land use map were selected for
intersection. After intersection, a map with new polygons representing the merged soil hydrologic
group and land use (soil-land map) was generated. The appropriate CN value for each polygon of the
579             Mahboubeh Ebrahimian, Lai Food See, Mohd Hasmadi Ismail and Ismail Abdul Malek

Soil-Land map was assigned. The CN values for different land uses and hydrologic soil groups were
adopted from Technical Release 55, USDA-NRCS, 1986.

2.6. Antecedent moisture condition (AMC)
The calculated CN value for each polygon is for average conditions (i.e. Antecedent Moisture
Condition Class II). The CN values for AMC II can be converted into CN values for AMC I and AMC
III by using the SCS standard tables (USDA-SCS, 1993). To determine which AMC Class is the most
appropriate relative to study area, the use of rainfall data is necessary. The 5-day rainfall prior to the
event date was determined to be used for converting the calculated CN value to AMC class II and
AMC class III using based on the NRCS standard tables.

2.7. Calculating runoff depth without incorporating the slope factor
After generating CN map the next step was to calculate maximum potential retention (S). S value was
computed for each polygon using equation (1). Runoff depth was ascertained for each rainfall event by
using equation (2). Arithmetic mean rainfall of available rain gauge stations in the watershed was used
for estimation of runoff depth in the watershed for selected events.
             25400
         S=          − 254                                                                            (1)
               CN
             ( P − 0.2S ) 2
         Q=                                                                                           (2)
               P + 0.8S
where Q is runoff depth (mm); P is rainfall (mm); S is potential maximum retention (mm); S is initial
abstraction of rainfall by soil and vegetation (mm) and CN is Curve Number.
        At the next step, weighted runoff depth was estimated for the watershed by multiplying the area
of each polygon in runoff depth value and divided by total area of watershed (equation 3). In this study,
a total of 35 daily rainfall events were employed in the NRCS-CN model to estimate runoff depth for
them.

         Q=
             ∑ QiAi                                                                                   (3)
                 A
where Qi is runoff depth for each polygon (mm); Ai is polygon area (ha) and A is watershed area (ha).

2.8. Calculating slope-adjusted CN
The NRCS-CN method does not take into account the effect of slope on runoff yield. However, there
are few models which incorporate a slope factor to CN method to improve estimation of surface runoff
depth and volume (Huang et al., 2006). Fewer attempts have been made to include the slope factor into
the CN method. Those which had taken the slope factor into account were notably, Sharpley and
Williams (1990) and Huang et al. (2006). Equations (4) and (5) were used to adjust the CN values
obtained from SCS-CN standard tables for the slope, respectively. Both methods assume very simply
that CN obtained from SCS standard tables correspond to a slope of 5%.
        CN2α= 1/3 (CN3-CN2) (1-2e-13.86α) +CN2                                                    (4)
where CN2α is value of CN2 for a given slope; CN2 and CN3 are the NRCS-CN for soil moisture
condition II (average) and III (wet), and α (m m-1) is the soil slope.
        CN2α= CN2 × K                                                                             (5)
        Where:
             322.79 + 15.63(α )
        K=
                α + 323.52
where K is a CN constant.
        Slope and CN maps were intersected to get slopes of each polygon. Since each polygon has
different slopes, then calculating of weighted slope is need for each polygon. Weighted slope of a
Application of Natural Resources Conservation Service – Curve Number Method for Runoff
Estimation with GIS in the Kardeh Watershed, Iran                                                    580

polygon was computed using formula (6). Weighted slope of polygon was applied in equation (5) to
compute slope adjusted CN values. The Huang et al. (2006) approach was used because of the
improvement made to incorporate the slope factor into the analysis.
                                                                                                      (6)
       Weighted slope
where ai is area of slope (ha); si is slope (%); and A is polygon area (ha).

2.9. Calculating slope-adjusted runoff depth
The same method as discussed above was employed to calculate slope adjusted runoff depth using of
slope-adjusted CN values for calculating S values. Accordingly, weighted runoff depth value was
estimated for the watershed for all rainfall events with corporation of slope factor.

2.10. Determining runoff depth for observed data
Direct runoff volume was calculated by subtracting base flow and total runoff volume in WHAT
(Web-based Hydrograph Analysis Tool) software (Engel et al., 2004). Runoff depth was calculated by
equation (7) as following:
              24

             ∑ (Q − bf ) × t
        H=   i −1
                                                                                                       (7)
                   A
where H: is runoff depth (m); Q is runoff volume (m3/s); bf is base flow (m3/s); t is hourly time interval
(3600) and A is watershed area (m2).

2.11. Statistical analysis
SPSS functions were used to perform statistical analysis on data. The Kolmogorov-Smirnov and
Shapiro-Wilk tests were used to check the normality of data set. The differences were considered
statistically significant when p < 0.05. Percentage error was calculated to compare the difference
between the estimated and observed runoff depth. Pair wise comparisons were done with the t-test to
compare observed and estimated runoff depth data. The spearman rank correlation analysis was used to
investigate the relationship between estimated (as a dependent variable) and observed (as an
independent variable) runoff depths.


3. Results and Discussion
3.1. Hydrologic soil groups
All hydrologic groups including A, B, C, and D were found in the Kardeh watershed (Figure3). Only 2
percent of soil was placed in group A and about 40.6 and 31.7 percent of soil were placed in group C
and D, respectively (Table 2).
581                 Mahboubeh Ebrahimian, Lai Food See, Mohd Hasmadi Ismail and Ismail Abdul Malek
Table 2:      Curve number of various land use and hydrologic soil groups in Kardeh watershed

 Land use/ Land cover                    Hydrologic soil group         Area (ha)                CN
                                                  A                      102.30                 62
 Dry farmland (rainfed farming)                   B                     2204.90                 71
                                                  C                     4378.10                 78
                                                  A                      83.98                  36
 Forest
                                                  B                     1262.60                 60
                                                  C                      809.60                 73
      Thin forest
                                                  D                      398.70                 79
                                                  B                      24.40                  55
 Forest
                                                  C                     447.70                  70
      Fair forest                                 D                       44.16                 77
                                                  A                       4.70                  35
 Rangeland
                                                  B                      72.60                  35
                                                  C                     1208.54                 47
          Good condition
                                                  D                     1996.19                 55
                                                  A                      26.97                  51
 Rangeland
                                                  B                     1809.90                 51
                                                  C                     2628.26                 63
          Fair condition
                                                  D                     4808.70                 70
                                                  A                      215.36                 67
 Rangeland
                                                  B                     5649.30                 67
                                                  C                      7930.9                 80
          Poor condition
                                                  D                     6649.90                 85
                                                  A                      428.99                 43
 Orchards and
                                                  B                     510.30                  65
 irrigated farmland                               C                      803.00                 76
 Settlement                                       D                      28.40                  93
 Rocks                                            D                      286.50                 91
 Total area                                                            44814.95                  -

3.2. CN values
The CN value for each soil hydrologic group and corresponding land use class are presented in Table
2. Hydrologic soil groups A and B leading to low CN value while the hydrologic group D leading to
the high CN value in the Kardeh watershed. Gandini and Usunoff (2004) observed that hydrologic soil
group B leading to lower CN values in a humid temperate watershed of Argentina. In terms of land use
and hydrologic soil group combination, the lowest CN value was found to be 35 and 36 in forest and
rangeland with good condition and the highest CN value was found to be 93 in settlement areas.
Gandini and Usunoff (2004) found the CN value of 92 for urban area and 45 for forest in good
condition in Argentina. Table 2 indicates that rangelands with poor condition, settlements and
mountainous areas without developed soil layer (rocks) are major contributors in runoff generation in
the Kardeh watershed. Nassaji and Mahdavi (2005) found that rangeland with poor and very poor
conditions had CN values greater than 85 in three rangeland watersheds in semi-arid areas of northern
Iran. High CN value in poor rangelands can be explained by low vegetation density, high soil
compaction due to treading by grazing animals and low infiltration rate.
        The CN values map is displayed in Figure 4.The CN map can be viewed as a mosaic of CN
values due to differences in land use. About 70 percent of Kardeh watershed has CN values between 60
and 80, 4 percent less than 50 and 0.7 percent greater than 90. These values show that Kardeh
watershed generates more runoff for a given rainfall in areas having greater CN values. Because by
increasing the value of CN in a specific area, the amount of runoff will be increased. Mellesse and Shih
(2002) indicated that any changes in land use can alter CN values of the watershed and accordingly the
runoff response of the watershed by increasing runoff volume. The study also reported that by
decreasing the area of croplands and rangelands within two decades the CN values greater than 90
Application of Natural Resources Conservation Service – Curve Number Method for Runoff
Estimation with GIS in the Kardeh Watershed, Iran                                                      582

increased by 2.2 percent and the area of the watershed having runoff depth greater than 180 mm
increased by 2 percent.
        The relationship between the calculated CN from SCS Standard Tables and slope-adjusted CN
with land slope of the study area is shown in Figure 5. The figure suggesting that there is a direct
positive relationship between slope and CN value. Higher CN values are expected in steep slope land.
Slope-adjusted CN and standard CN ratio increases with slope. Slope-adjusted CN values are listed in
Table 3. The highest CN value (93) was found in steep slope (32 %) of the study watershed while the
lowest CN value (35) was found in slight slope (17 %) of the watershed. In watersheds where land
slope is higher than 5%, CN values must be adjusted with slope (Huang et al, 2006).

3.3. Runoff depth
The estimated runoff depths, slope-adjusted runoff depths and observed runoff for all selected rainfall
events are listed in Table 4. Comparison of columns 4 and 5 in Table 4 shows that there is no much
difference between runoff depth before and after applying of slope factor. In the other words, after
using this equation and incorporating slope factor in CN method, the CN values changed, but the
runoff generation was not affected by new values considerably. This is largely due to the equation used
(Huang et al, 2006). In this study, the equation used was developed over plot scale and the application
is largely targeted for small sites (Huang et al, 2006). To date, there is very little information regarding
modification of NRCS-CN method for steep slopes at watershed scale. In fact, the equation used here
is the only available in the literature to modify runoff response with slope factor. The assessment of the
effect of slope on rainfall-runoff relationship in the NRCS-CN method is extended in this study to
evaluate the effect on surface runoff generation at watershed scale. It is obvious that the curve number
values must be adjusted with slope degree to overcome to such problems in steep slopes.

                           Figure 3: Hydrologic soil groups of Kardeh catchment.
583             Mahboubeh Ebrahimian, Lai Food See, Mohd Hasmadi Ismail and Ismail Abdul Malek
                                                            Figure 4: Map of curve number values for Kardeh watershed.




Figure 5: Relationship between the calculated CN from SCS standard tables and slope-adjusted CN ratio and
          land slope.

                                                     1.03
                                                                                                                         p<0.01

                                                                                                                         r = 0.75
                                                     1.02
                Slope-adjusted/ tabulated CN ratio




                                                     1.02



                                                     1.01



                                                     1.01



                                                     1.00



                                                     1.00
                                                            0         10        20         30         40        50                  60
                                                                                        Slope (%)
Application of Natural Resources Conservation Service – Curve Number Method for Runoff
Estimation with GIS in the Kardeh Watershed, Iran                                             584

Table 3:    Slope-adjusted CN values for the study watershed

           CN              Slope (%)              Area (ha)    CN constant(K)   Slope-adjusted CN
           35                  17                   77.3           1.005              35.18
           36                  16                   83.9           1.005              36.18
           43                  36                   428.9          1.015              43.65
           47                  30                  1208.5          1.010              47.47
           51                  28                  1836.9          1.010              51.51
           55                  45                  2020.6          1.014              55.77
           60                  26                  1262.6          1.010              60.60
           62                  18                   102.3          1.006              62.37
           63                  31                  2628.2          1.012              63.76
           65                 18.5                  510.2          1.006              65.39
           67                  34                  5864.6          1.013              67.87
           70                  43                  5256.4          1.017              71.19
           71                  28                  2204.9          1.010              71.71
           73                  35                   809.6          1.013              73.95
           76                  28                   803.0          1.010              76.76
           77                  21                   44.2           1.007              77.54
           78                  30                  4387.1          1.010              78.78
           79                  40                   398.7          1.016              80.26
           80                  28                  7930.9          1.010              80.80
           85                  44                  6649.9          1.018              86.53
           91                  20                   286.5          1.007              91.64
           93                  32                   28.4           1.012              94.12
585               Mahboubeh Ebrahimian, Lai Food See, Mohd Hasmadi Ismail and Ismail Abdul Malek
Table 4:      Estimated runoff depths for rainfall events using NRCS-CN method

                                 Sum of prior 5-    Estimated runoff   Estimated slope-adjusted   Observed
 Storm date     Rainfall (mm)
                                day rainfall (mm)     depth (mm)          runoff depth (mm)        (mm)
  14/5/1991          18.0              18.3               5.44                   5.21                3.5
   1/6/1992          17.0               0.2               5.71                   5.47               8.2
  11/7/1992          20.0              14.9               4.94                   4.73                3.8
   6/1/1993          26.1              29.7               6.56                   7.55                5.6
   8/3/1993           8.6              11.2               8.56                   8.27               6.6
  13/4/1993          22.9               4.4               4.30                   4.12               11.0
   7/5/1993           6.3               4.0               9.54                   9.24               5.5
  12/3/1994          11.0              22.2               0.92                   1.21                4.6
  14/6/1994          13.5               00                6.77                   6.51                5.2
  3/10/1994           5.9               2.8               9.72                   9.42               5.6
   1/5/1995           9.0               3.0               8.40                   8.11               6.8
   3/7/1995          19.0               9.6               5.18                   4.96               2.4
   4/2/1996          14.9              27.7               1.26                   1.24                3.9
   8/3/1996          17.7              44.9               2.77                   3.40                5.0
  14/3/1996           9.4              32.8               0.69                   0.90                3.4
  23/5/1996           6.6               9.8               9.41                   9.11                7.2
  27/5/1996           6.2              10.3               9.59                   9.28                6.1
  17/7/1996          23.5               00                4.18                   4.01                3.3
   6/5/1997          15.6              12.0               6.11                   5.87                7.8
  19/6/1997          24.1               7.9               4.07                   3.90                7.3
   1/8/1997          17.5               0.8               5.57                   5.34               3.0
  6/11/1997           8.0              14.3               2.34                   2.19                1.5
   9/2/1998          26.1               4.3               3.27                   3.23               4.0
  14/3/1998           6.1               1.2               7.73                   7.47               5.9
  26/3/1998          14.0               0.8               5.15                   4.96                4.7
   6/4/1998          25.1               2.6               3.34                   3.29               5.3
  27/4/1998          13.1               2.2               5.39                   5.18                2.6
  30/5/1998           7.8               4.5               7.07                   6.82               4.3
  22/7/1998           6.9               00                7.41                   7.15               4.7
   3/8/1998           5.3               0.5               8.07                   7.80               7.5
  14/8/1998           4.3               00                8.51                   8.23               5.1
  21/2/1999          27.1               3.8               3.20                   3.18                4.4
  28/4/2000          19.0              10.5               4.11                   3.97                3.2
   9/8/2000           8.1               1.1               6.96                   6.71               5.2
  18/8/2001          15.5               0.3               4.80                   4.62                5.3

3.4. Comparison of estimated and observed runoff depth
At first step in the analysis, percentage error was used to compare the difference between the estimated
and observed runoff depth (Table 5). The maximum and minimum error between observed and estimated
runoff depth were 115 and 7 percent, respectively. However, the maximum and minimum error between
observed and slope-adjusted runoff depth were 106 and 4 percent, respectively. The mean percent error
between observed and estimated runoff depth reduced from 46.26 % before adjusting for slope to 42.97
% after adjusting for slope (Table 5). In India, Pandey et al. (2003) reported that the maximum and
minimum error between observed and estimated runoff depth were 68.33 and 3.27 percent,
respectively. Malekian et al. (2005) also reported an average percent error of 68.3 between observed
and estimated runoff by the CN method for 25 storm events in semi-arid areas of north western Iran. In
this study, about 9 % and 6 % of the estimated and slope-adjusted values were within ±10% of the
recorded values, respectively. About 34 and 37 percent were within ±30 % of the observed runoff.
About 43 and 37 percent of the estimated and slope-adjusted values were in error by more than ±50 %,
respectively (Table 5).
        A percent error of less than 50 % was considered acceptable (Boughton and Chiew, 2007 and
Pandey et al., 2003). Statistical analysis indicated that percent error of estimated slope-adjusted runoff
Application of Natural Resources Conservation Service – Curve Number Method for Runoff
Estimation with GIS in the Kardeh Watershed, Iran                                                    586

depth was significantly (P < 0.01) lower than the percent error of estimated runoff depth. This decline
in percent error can be explained by the role of slope in runoff generation in mountainous watershed.
One of the potential sources of error in runoff depth estimation is believed to be due to the rainfall and
recorded runoff data input. The quality of the input data is the main determinant of the quality of the
results in runoff estimation (Boughton and Chiew, 2007; Jacobs and Srinivasan, 2005). The presence
of various land use/ cover classes or condition in the watershed, and mountainous topography and large
area of the watershed may have played a part in the lack of acceptable runoff estimate results for
selected storm events in this study. Field workers errors in recording rainfall and associated runoff data
provide data with error to users which probably are another source of error.
        Pair wise comparison between the variable (observed vs. estimated runoff) means showed that
there is no significant difference between means of estimated and observed data (P > 0.05). Therefore,
estimated runoff depth by CN method was near to corresponding observed runoff depths (Table 6).
Interestingly, Pandey et al. (2003) found that estimated direct runoff depth by the NRCS-CN method
was significantly (P > 0.05) near to corresponding observed runoff depth in the Karso watershed, India.
Similar results were reported by Pandey and Sahu (1999), Pandey et al. (2003) in India and Akhondi et
al. (2001) in Iran.
587              Mahboubeh Ebrahimian, Lai Food See, Mohd Hasmadi Ismail and Ismail Abdul Malek
Table 5:   Details of percent error between estimated and observed runoff depth

                                                                   Percent
              Percent                                                                       % of
                                                                    error
                error        % of     % of total                                            total
  Study                                                           between        % of
              between      observe    number of    Acceptabi                              number    Acceptabil
  storm                                                             slope      observed
             estimated        d         storm         lity                                   of        ity
   date                                                         adjusted and    runoff
           and observed     runoff      events                                             storm
                                                                  observed
               runoff                                                                      events
                                                                   runoff
 14/5/1991        7                                                    4
                                                                                  0-10      5.7     Very high
 1/6/1992         9         0-10           8.58    Very high           5
 11/7/1992        9                                                   12
 6/1/1993         17                                                  19
 8/3/1993         18                                                  19
 13/4/1993        21                                                  21
 7/5/1993         23                                                  24
 12/3/1994        26                                                  24
 14/6/1994        27                                                  24        10-30      37.3        high
                            10-30          34.30      high
 3/10/1994        28                                                  25
 1/5/1995         29                                                  25
 3/7/1995         30                                                  26
 4/2/1996         30                                                  26
 8/3/1996         30                                                  27
 14/3/1996        30                                                  29
 23/5/1996        31                                                  32
 27/5/1996        33                                                  33
 17/7/1996        36        30-50          14.30      fair            34
 6/5/1997         44                                                  37        30-50       20         Fair
 19/6/1997        45                                                  46
 1/8/1997         55                                                  46
 6/11/1997        56                                                  48
 9/2/1998         57                                                  52
 14/3/1998        57                                                  52
 26/3/1998        60                                                  58
 6/4/1998         64                                                  61
 27/4/1998        66                                                  62
                                                   unacceptab
 30/5/1998        68        > 50            43                        68
                                                       le                                           unacceptab
 22/7/1998        73                                                  68          > 50      37
                                                                                                        le
 3/8/1998         73                                                  68
 14/8/1998        80                                                  73
 21/2/1999        80                                                  73
 28/4/2000        85                                                  78
 9/8/2000        107                                                  99
 18/8/2001       115                                                 106
 Minimum = 7                                       Minimum = 4
 Maximum = 115                       100           Maximum = 106                            100
 Mean = 46.23                                      Mean = 42.97

        The results showed that there is no provision to apply the NRCS-CN model in the Kardeh
watershed for runoff estimation. It is noteworthy that the P values in Table 6 indicate that mean of
slope-adjusted estimated data (5.50) are nearer to mean of observed data (5.11) than estimated data
(5.63) in terms of depth. Low P value means estimated and observed data are roughly far from each
other and vice versa.
        The comparison of observed runoff with estimated slope-adjusted runoff showed there is no
significant difference between the means of observed and slope-adjusted estimated runoff (P > 0.05). It
should be noted that for slope-adjusted runoff vs. observed runoff P value (0.27) was greater than P
value for estimated runoff vs. observed runoff (0.16) (Table 6). This means that when runoff depths
Application of Natural Resources Conservation Service – Curve Number Method for Runoff
Estimation with GIS in the Kardeh Watershed, Iran                                                        588

were adjusted for slope, their means (5.50) were nearer to observed runoff depths (5.11). This indicates
that slope is an important factor in runoff estimation. In steep slope watersheds, estimated runoff must
be adjusted for slope since the estimations are affected more.

Table 6:    Means comparison of estimated and observed runoff for the Kardeh watershed

                                     Slope-adjusted                                       P
                  Estimated runoff                     Observed runoff
 Variable                             runoff depth                        Estimated vs.       Slope-adjusted
                    depth (mm)                          depth (mm)
                                         (mm)                               observed           vs. observed
 Mean                   5.63              5.50              5.11              0.16                  0.27
 SD                     2.53              2.41              1.90

        A fairly direct positive correlations was found between observed and estimated data (r = 0.55; P
< 0.01) and slope adjusted vs. observed runoff data (r = 0.56; P < 0.01). In India, Nayak and Jaiswal
(2003) found a good correlation (about 90 %) between estimated and observed data in all eight sub-
basins with various areas (less than 100 km2) of the Bebas watershed, although correlation decreased
by increasing the area of the sub-basins. Akhondi (2001) pointed out that correlation coefficient (r)
between observed and estimated runoff using the CN method decreased from 98 % to 17 % with
increasing watershed area and decreasing rainfall (from semi-humid to semi-arid) in four watersheds
with various areas and climate in semi-arid and semi-humid areas of south western Iran. Furthermore,
Malekian et al. (2005) reported a correlation coefficient of 73 % between observed and estimated
runoff by the CN method in a semi-arid watershed of northwestern Iran. In the present study, a fair
correlation (about 55 %) between estimated and observed runoff depth could be attributable to the big
area of the watershed. As discussed above, correlation is higher in small watersheds compared to
bigger ones. Another reason behind this low correlation may be due to the use of a non-localized CN
method in this study. The CN method parameters still have not been localized and modified based on
Iranian condition. This should serve as a caution to managers and researchers utilizing the CN method
for hydrologic modelling in Iran (Khojini, 2001 and Malekian et al., 2005).


4. Conclusions
The following conclusions can be drawn from the study:
 • The incorporation of NRCS-CN model and GIS facilitates runoff estimation from watershed and
     can augment the accuracy of computed data.
 • Nevertheless there was no high significant correlation between estimated and observed runoff
     depth (r = 0.56; p < 0.01) in this study, but still there is no enough reason that curve number
     method should not be used for ungauged watersheds which do not have runoff records to produce
     runoff data for the purpose of management and conservation.
 • Although the results of this study failed to show the real effect of slope on runoff generation in
     the watershed due to the used equation (equation 5) at watershed scale, but the assessment of the
     effect of slope on rainfall-runoff relationship in NRCS-CN method should be extended further at
     watershed scale to get the effect on surface runoff generation.
 • In this study using of combined GIS and CN model to estimate runoff data in Kardeh watershed
     neither approved nor rejected completely. The results indicated that the combined GIS and CN
     method can be used in ungauged watershed with the same condition to Kardeh with about 60
     percent accuracy only for management and conservation purposes not for computation of design
     floods.
589            Mahboubeh Ebrahimian, Lai Food See, Mohd Hasmadi Ismail and Ismail Abdul Malek

Acknowledgement
Authors acknowledge University Putra Malaysia for providing research fellowship to make this
research possible. We are particularly grateful to Khorasan Razavi Regional Water Authority,
Department of Watershed Management and Abkhiz Gostar Shargh Co. Ltd. for providing the data and
maps of the study watershed.


References
[1]    Akhondi, S., 2001. “An investigation of curve number model in flood estimation using
       Geographical information System (GIS)”, MSc thesis. Tarbiat Modares University, Tehran.
[2]    Boughton, W., and F. Chiew, 2007. “Estimating runoff in ungauged catchments from rainfall,
       PET and the AWBM model”, Environmental Modelling & Software 22, pp. 476-487.
[3]    Engel, B., J. Kyoung, Z.Tang, L. Theller, and S. Muthukrishnan, 2004. “WHAT (Web-based
       Hydrograph Analysis Tool)”, http://cobweb.ecn.purdue.edu/~what/ (accessed Feb. 2009).
[4]    Gandini, M.L., and E.J. Usunoff, 2004. “SCS Curve Number Estimation Using Remote Sensing
       NDVI in A GIS Environment”, Journal of Environmental Hydrology 12, (Paper 16).
[5]    Hossein, A.A., D.H. Pilgrim, G.W. Titmarsh, I. Cordery, 1989. “Assessment of U.S.
       Conservation Service method for estimating design floods. New direction for surface water
       modeling (Proceedings of the Balimore Symposium)”, IASH publication. No. 181, pp. 283-
       291.
[6]    Huang, M., G. Jacgues, Z. Wang, and G. Monique, 2006. “A modification to the soil
       conservation service curve number method for steep slopes in the Loess Plateau of China”
       Hydrological processes 20(3), pp. 579-589.
[7]    Jacobs, J.H. and R. Srinivasan, 2005. “Effects of curve number modification on runoff
       estimation using wsr-88d rainfall data in Texas watersheds”, Journal of Soil and Water
       Conservation. 60 (5), pp. 274-278.
[8]    Khorasan General Office of Natural Resources, 1993. “Watershed management plan for Kardeh
       dam watershed”, Report. 50p.
[9]    Khorasan Razavi Jihad-e-Agriculture Organization, 1996. “Evaluation of land capability and
       soil of the Kardeh watershed”, Watershed Management Department, 150p.
[10]   Khorasan Razavi General Office of Natural Resources, 2001. “Rangeland Vegetation Cover of
       Kardeh Watershed”, Report. 89 p.
[11]   Khorasan Razavi Regional Water Authority, 2001. “Climatology of Kardeh Dam”, report.
       180p.
[12]   Khojini, A. 2001. “Investigation on the applicability of the SCS-CN method in runoff depth and
       peak discharge estimation in representative watersheds of Alborz Mountain chain”, Research
       and reconstruction 38, pp. 12-15.
[13]   Malekian A., M. Saravi Mohseni and M. Mahdavi, 2005. “Applicability of the USDA-NRCS
       Curve Number method for runoff estimation”, Iranian Journal of Natural Resources 57(4), pp.
       621-633.
[14]   Melesse A.M., S.F. Shih, 2002. “Spatially distributed storm runoff depth estimation using
       Landsat Images and GIS”, Computers and Electronics in Agriculture 37, pp.173-183.
[15]   Nassaji M. and M. Mahdavi, 2005. “The determination of peak-flood using different curve
       number methods (case study, Central Alborze area)”, Iranian Journal of Natural Resources
       58(2), pp. 315-324.
[16]   Nayak, T.R. and R.K. Jaiswal, 2003. “Rainfall-runoff modelling using satellite data and GIS for
       Bebas river in Madhya Pradesh”, IE (I) Journal 84, pp.47-50.
[17]   Pandey, A. and A. K. Sahu, 2002. Generation of curve number using remote sensing and
       Geographic Information System”, http://www.GISdevelopment.net (accessed on Sep. 2007).
Application of Natural Resources Conservation Service – Curve Number Method for Runoff
Estimation with GIS in the Kardeh Watershed, Iran                                             590

[18]   Pandey, A., V.M. Chowdary, B.C.Mal, and P.P. Dabral, 2003. “Estimation of runoff for
       agricultural watershed using SCS curve number and Geographic Information System”,
       Htpp://www.GISdevelopment.net (accessed on Sep. 2007).
[19]   Sharpley, A. N. and J.R. Williams, 1990. “EPIC- Erosion/Productivity Impact Calculator: 1.
       Model determination”, US department of Agriculture. Technical Bulletin, No. 1768.
[20]   USDA/NRC. 1986. “Urban Hydrology for Small Watersheds TR-55”, Technical Release 55.
       Washington DC.
[21]   USDA-SCS. 1993. “Storm rainfall depth. In: National Engineering Handbook Series”, Part 630,
       Chapter 4, Washington, D.C.
[22]   Zhan, X. and M. L. Huang, 2004. “ArcCN-Runoff: An ArcGIS tool for generating curve
       number and runoff maps”, Environmental Modelling & Software 19, pp.875–879.

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Curve number_gis

  • 1. European Journal of Scientific Research ISSN 1450-216X Vol.34 No.4 (2009), pp.575-590 © EuroJournals Publishing, Inc. 2009 http://www.eurojournals.com/ejsr.htm Application of Natural Resources Conservation Service – Curve Number Method for Runoff Estimation with GIS in the Kardeh Watershed, Iran Mahboubeh Ebrahimian Faculty of Forestry, University Putra Malaysia, 43400 (UPM) Serdang, Selangor, Malaysia E-mail: eb_m60@yahoo.com Tel: +60 (3)89467202; Fax: +60 (3)89467202 Lai Food See Faculty of Forestry, University Putra Malaysia, 43400 (UPM) Serdang, Selangor, Malaysia Mohd Hasmadi Ismail Faculty of Forestry, University Putra Malaysia, 43400 (UPM) Serdang, Selangor, Malaysia Ismail Abdul Malek Faculty of Forestry, University Putra Malaysia, 43400 (UPM) Serdang, Selangor, Malaysia Abstract This study aims to determine the runoff depth using NRCS-CN method with GIS and the effect of slope on runoff generation. The study was carried out in the Kardeh watershed about 42 km north of Mashhad, Khorasan Razavi province, Iran. The USDA- NRCS-CN method was applied for estimating the runoff depth in the semi-arid Kardeh watershed. Hydrologic soil group, land use and slope maps were generated in GIS environment. The curve number values from NRCS standard tables were assigned to the intersected hydrologic soil groups and land use maps to generate CN values map. The curve number method was followed to estimate runoff depth for selected storm events in the watershed. Effect of slope on CN values and runoff depth was determined. The results showed that there was no significant difference between observed and estimated runoff depths (P > 0.05). Statistically positive correlations were detected between observed and estimated runoff depth (r = 0.56; P < 0.01). About 9 % and 6 % of the estimated and slope- adjusted runoff values were within ±10% of the recorded values, respectively. In addition, about 43 and 37 percent of the estimated and slope-adjusted values were in error by more than ±50 %, respectively. Keywords: Curve Number, Geographic Information System, Kardeh watershed, Slope- adjusted runoff depth
  • 2. Application of Natural Resources Conservation Service – Curve Number Method for Runoff Estimation with GIS in the Kardeh Watershed, Iran 576 1. Introduction Due to serious soil erosion and water deficiency in most areas of Iran, natural resources conservation is a vital issue. Despite these pressing issues, few studies have been carried out in rainfall-runoff modelling in Iran. Conventional methods of runoff measurement are costly, time consuming, error- prone and difficult because of inaccessible terrain in many of the watersheds. Thus, the use of new tools, for instance GIS, to generate supporting land-based data for conserving soil and water resources in watershed planning is very much needed. In addition, most basins in Iran do not have sufficient numbers of gauges to record rainfall and runoff. Scarcity of reliable recorded data therefore is another serious problem which planners and researchers face for the analysis of the hydrology of arid regions. There are several approaches to estimate ungauged basin runoff. Examples are the University of British Columbia Watershed Model (UBCWM), Artificial Neural Network (ANN), SCS Curve Number model, and Geomorphological Instantaneous Unit Hydrograph (GIUH). Among these methods, the SCS method (now called Natural Resources Conservation service Curve Number method (NRCS-CN)) is widely used because of its flexibility and simplicity. The method combines the watershed parameters and climatic factors in one entity called the Curve Number (CN). Many researchers (Pandey and Sahu, 2002; Nayak and Jaiswal, 2003; Zhan and Huang, 2004; Gandini and Usunoff, 2004) have utilized the Geographic Information System (GIS) technique to estimate runoff Curve Number value throughout the world. In India, Pandy and Sahu (2002) pointed out that the land use/land cover is an important parameter input of the SCS-CN model. Nayak and Jaiswal (2003) found that there was a good correlation between the measured and estimated runoff depth using GIS and CN. They concluded that GIS is an efficient tool for the preparation of most of the input data required by the SCS curve number model. Akhondi (2001) pointed out that correlation between observed and estimated discharge using CN method is decreased by increasing watershed area. While having runoff data is essential in all watershed development and management plans, very little work has been previously done in the watersheds of Iran in estimating runoff from rainfall in ungauged watersheds. This study emphasizes the use of GIS technique to develop a data base containing all the information of the study watershed for direct runoff depth estimation using the NRCS-CN model. The objective of this study was to evaluate the use of NRCS Curve Number method with GIS for estimating runoff depth and the effect of slope on CN values and runoff generation in a well-equipped gauged watershed. If the estimated runoff data are accurate compared to observed runoff in this watershed, then the NRCS-CN method can be recommended for estimating runoff in ungauged watersheds of the region. 2. Materials and methods 2.1. Study area This study was conducted in the Kardeh watershed about 42 km north of Mashhad, Khorasan Razavi province, north eastern Iran (Figure 1). The watershed lies between 59º 26´ 3˝ to 59º 37´ 17˝ E longitude and 36º 37´ 17˝ to 36º 58´ 25˝ N latitude. Kardeh watershed is 448.2 km2 in size. The elevation of the watershed ranges from 1320 to 2960 m above mean sea level. The climate of the watershed is semi-arid. The mean annual precipitation is about 296.4 mm. Temperature in the study watershed is low with a mean annual of 11.6 °C. The mean relative humidity is approximately 52.6%, but varies from 32.1 % in August to 82.3% in February. In most parts of the study watershed, topsoil is loamy and the subsoil is sandy clay loamy except in alluvial deposits that have relatively heavy texture of clay. In barren areas where soil is shallow, fine platy structure surface soil and compressed blocky structure subsurface soil are be sound. The major land uses in the study watershed are shown in Figure 1. About 73% of Kardeh has occupied by rangelands. Forested areas have been degraded because of severe utilization over the time and only single trees are a sign of degraded forest in highlands (Table 1).
  • 3. 577 Mahboubeh Ebrahimian, Lai Food See, Mohd Hasmadi Ismail and Ismail Abdul Malek Table 1: Land use/ cover classes present in the Kardeh catchment* Land use/ Land cover Area (km²) % of total area Dry farmland (rainfed farming) 66.90 15 Forest Thin 25.50 5.7 Fair 5.20 1.2 Rangeland Good condition 32.80 7.3 Fair condition 92.70 20.7 Poor condition 204.40 45.5 Orchards and irrigation farmland 17.40 3.9 Settlement 0.28 0.1 Rocks 2.90 0.6 Total area 448.20 100 *Watershed Management Department of Khorasan Razavi Jihad-e-Agriculture Organization, 1996 Figure 1: Location of the study area in Iran. 2.2. Data sources Topographic maps at the scale of 1:25000 prepared by the National Cartographic Centre (NCC) were used for demarcation of study watershed border and as basic maps in generation of other ancillary maps. Digitized land use/cover map prepared by the Watershed Management Department of Khorasan Razavi Jihad-e-Agriculture Organization in 1996 was used for identification of types and areas of land use. Digitized soil map at the scale of 1:25000 and soil information were taken from Khorasan Razavi General Office of Natural Resources. Meteorological data including rainfall, evaporation, and temperature and runoff data (1990-2000) were obtained from Khorasan Razavi Regional Water Authority.
  • 4. Application of Natural Resources Conservation Service – Curve Number Method for Runoff Estimation with GIS in the Kardeh Watershed, Iran 578 2.3. Software used for data processing Arc View version 3.3 powerful Geographic Information System (GIS) software was used for creating, managing and generation of different layers and maps. The SPSS software was used for statistical analysis of data. The Microsoft Excel was used for mathematical calculations. Figure 2: Land use/ cover map of the study watershed. 2.4. Generating hydrologic soil group (HSGs) map The hydrologic soil group is an attribute of the soil mapping unit (each soil mapping unit is assigned a particular hydrologic soil group: A, B, C, or D). In the preparation of the hydrologic soil group (HSG) map, a digital text file of soil data was prepared to assign the soil data layers based on soil mapping unit. Spatial Analyst and XTools extensions of Arc View 3.3 were applied for map preparation. The Soil Surveys from NRCS which provides a list of soil types and corresponding hydrologic soil groups were used. The generated map contains individual polygons of the characterized hydrologic soil group. 2.5. Generating CN map To create the CN map, the hydrologic soil group and land use maps were uploaded to the Arc View platform. The Xtools extension of Arc View was used to generate the CN map. The hydrologic soil group field from the soil theme and the land use field from the land use map were selected for intersection. After intersection, a map with new polygons representing the merged soil hydrologic group and land use (soil-land map) was generated. The appropriate CN value for each polygon of the
  • 5. 579 Mahboubeh Ebrahimian, Lai Food See, Mohd Hasmadi Ismail and Ismail Abdul Malek Soil-Land map was assigned. The CN values for different land uses and hydrologic soil groups were adopted from Technical Release 55, USDA-NRCS, 1986. 2.6. Antecedent moisture condition (AMC) The calculated CN value for each polygon is for average conditions (i.e. Antecedent Moisture Condition Class II). The CN values for AMC II can be converted into CN values for AMC I and AMC III by using the SCS standard tables (USDA-SCS, 1993). To determine which AMC Class is the most appropriate relative to study area, the use of rainfall data is necessary. The 5-day rainfall prior to the event date was determined to be used for converting the calculated CN value to AMC class II and AMC class III using based on the NRCS standard tables. 2.7. Calculating runoff depth without incorporating the slope factor After generating CN map the next step was to calculate maximum potential retention (S). S value was computed for each polygon using equation (1). Runoff depth was ascertained for each rainfall event by using equation (2). Arithmetic mean rainfall of available rain gauge stations in the watershed was used for estimation of runoff depth in the watershed for selected events. 25400 S= − 254 (1) CN ( P − 0.2S ) 2 Q= (2) P + 0.8S where Q is runoff depth (mm); P is rainfall (mm); S is potential maximum retention (mm); S is initial abstraction of rainfall by soil and vegetation (mm) and CN is Curve Number. At the next step, weighted runoff depth was estimated for the watershed by multiplying the area of each polygon in runoff depth value and divided by total area of watershed (equation 3). In this study, a total of 35 daily rainfall events were employed in the NRCS-CN model to estimate runoff depth for them. Q= ∑ QiAi (3) A where Qi is runoff depth for each polygon (mm); Ai is polygon area (ha) and A is watershed area (ha). 2.8. Calculating slope-adjusted CN The NRCS-CN method does not take into account the effect of slope on runoff yield. However, there are few models which incorporate a slope factor to CN method to improve estimation of surface runoff depth and volume (Huang et al., 2006). Fewer attempts have been made to include the slope factor into the CN method. Those which had taken the slope factor into account were notably, Sharpley and Williams (1990) and Huang et al. (2006). Equations (4) and (5) were used to adjust the CN values obtained from SCS-CN standard tables for the slope, respectively. Both methods assume very simply that CN obtained from SCS standard tables correspond to a slope of 5%. CN2α= 1/3 (CN3-CN2) (1-2e-13.86α) +CN2 (4) where CN2α is value of CN2 for a given slope; CN2 and CN3 are the NRCS-CN for soil moisture condition II (average) and III (wet), and α (m m-1) is the soil slope. CN2α= CN2 × K (5) Where: 322.79 + 15.63(α ) K= α + 323.52 where K is a CN constant. Slope and CN maps were intersected to get slopes of each polygon. Since each polygon has different slopes, then calculating of weighted slope is need for each polygon. Weighted slope of a
  • 6. Application of Natural Resources Conservation Service – Curve Number Method for Runoff Estimation with GIS in the Kardeh Watershed, Iran 580 polygon was computed using formula (6). Weighted slope of polygon was applied in equation (5) to compute slope adjusted CN values. The Huang et al. (2006) approach was used because of the improvement made to incorporate the slope factor into the analysis. (6) Weighted slope where ai is area of slope (ha); si is slope (%); and A is polygon area (ha). 2.9. Calculating slope-adjusted runoff depth The same method as discussed above was employed to calculate slope adjusted runoff depth using of slope-adjusted CN values for calculating S values. Accordingly, weighted runoff depth value was estimated for the watershed for all rainfall events with corporation of slope factor. 2.10. Determining runoff depth for observed data Direct runoff volume was calculated by subtracting base flow and total runoff volume in WHAT (Web-based Hydrograph Analysis Tool) software (Engel et al., 2004). Runoff depth was calculated by equation (7) as following: 24 ∑ (Q − bf ) × t H= i −1 (7) A where H: is runoff depth (m); Q is runoff volume (m3/s); bf is base flow (m3/s); t is hourly time interval (3600) and A is watershed area (m2). 2.11. Statistical analysis SPSS functions were used to perform statistical analysis on data. The Kolmogorov-Smirnov and Shapiro-Wilk tests were used to check the normality of data set. The differences were considered statistically significant when p < 0.05. Percentage error was calculated to compare the difference between the estimated and observed runoff depth. Pair wise comparisons were done with the t-test to compare observed and estimated runoff depth data. The spearman rank correlation analysis was used to investigate the relationship between estimated (as a dependent variable) and observed (as an independent variable) runoff depths. 3. Results and Discussion 3.1. Hydrologic soil groups All hydrologic groups including A, B, C, and D were found in the Kardeh watershed (Figure3). Only 2 percent of soil was placed in group A and about 40.6 and 31.7 percent of soil were placed in group C and D, respectively (Table 2).
  • 7. 581 Mahboubeh Ebrahimian, Lai Food See, Mohd Hasmadi Ismail and Ismail Abdul Malek Table 2: Curve number of various land use and hydrologic soil groups in Kardeh watershed Land use/ Land cover Hydrologic soil group Area (ha) CN A 102.30 62 Dry farmland (rainfed farming) B 2204.90 71 C 4378.10 78 A 83.98 36 Forest B 1262.60 60 C 809.60 73 Thin forest D 398.70 79 B 24.40 55 Forest C 447.70 70 Fair forest D 44.16 77 A 4.70 35 Rangeland B 72.60 35 C 1208.54 47 Good condition D 1996.19 55 A 26.97 51 Rangeland B 1809.90 51 C 2628.26 63 Fair condition D 4808.70 70 A 215.36 67 Rangeland B 5649.30 67 C 7930.9 80 Poor condition D 6649.90 85 A 428.99 43 Orchards and B 510.30 65 irrigated farmland C 803.00 76 Settlement D 28.40 93 Rocks D 286.50 91 Total area 44814.95 - 3.2. CN values The CN value for each soil hydrologic group and corresponding land use class are presented in Table 2. Hydrologic soil groups A and B leading to low CN value while the hydrologic group D leading to the high CN value in the Kardeh watershed. Gandini and Usunoff (2004) observed that hydrologic soil group B leading to lower CN values in a humid temperate watershed of Argentina. In terms of land use and hydrologic soil group combination, the lowest CN value was found to be 35 and 36 in forest and rangeland with good condition and the highest CN value was found to be 93 in settlement areas. Gandini and Usunoff (2004) found the CN value of 92 for urban area and 45 for forest in good condition in Argentina. Table 2 indicates that rangelands with poor condition, settlements and mountainous areas without developed soil layer (rocks) are major contributors in runoff generation in the Kardeh watershed. Nassaji and Mahdavi (2005) found that rangeland with poor and very poor conditions had CN values greater than 85 in three rangeland watersheds in semi-arid areas of northern Iran. High CN value in poor rangelands can be explained by low vegetation density, high soil compaction due to treading by grazing animals and low infiltration rate. The CN values map is displayed in Figure 4.The CN map can be viewed as a mosaic of CN values due to differences in land use. About 70 percent of Kardeh watershed has CN values between 60 and 80, 4 percent less than 50 and 0.7 percent greater than 90. These values show that Kardeh watershed generates more runoff for a given rainfall in areas having greater CN values. Because by increasing the value of CN in a specific area, the amount of runoff will be increased. Mellesse and Shih (2002) indicated that any changes in land use can alter CN values of the watershed and accordingly the runoff response of the watershed by increasing runoff volume. The study also reported that by decreasing the area of croplands and rangelands within two decades the CN values greater than 90
  • 8. Application of Natural Resources Conservation Service – Curve Number Method for Runoff Estimation with GIS in the Kardeh Watershed, Iran 582 increased by 2.2 percent and the area of the watershed having runoff depth greater than 180 mm increased by 2 percent. The relationship between the calculated CN from SCS Standard Tables and slope-adjusted CN with land slope of the study area is shown in Figure 5. The figure suggesting that there is a direct positive relationship between slope and CN value. Higher CN values are expected in steep slope land. Slope-adjusted CN and standard CN ratio increases with slope. Slope-adjusted CN values are listed in Table 3. The highest CN value (93) was found in steep slope (32 %) of the study watershed while the lowest CN value (35) was found in slight slope (17 %) of the watershed. In watersheds where land slope is higher than 5%, CN values must be adjusted with slope (Huang et al, 2006). 3.3. Runoff depth The estimated runoff depths, slope-adjusted runoff depths and observed runoff for all selected rainfall events are listed in Table 4. Comparison of columns 4 and 5 in Table 4 shows that there is no much difference between runoff depth before and after applying of slope factor. In the other words, after using this equation and incorporating slope factor in CN method, the CN values changed, but the runoff generation was not affected by new values considerably. This is largely due to the equation used (Huang et al, 2006). In this study, the equation used was developed over plot scale and the application is largely targeted for small sites (Huang et al, 2006). To date, there is very little information regarding modification of NRCS-CN method for steep slopes at watershed scale. In fact, the equation used here is the only available in the literature to modify runoff response with slope factor. The assessment of the effect of slope on rainfall-runoff relationship in the NRCS-CN method is extended in this study to evaluate the effect on surface runoff generation at watershed scale. It is obvious that the curve number values must be adjusted with slope degree to overcome to such problems in steep slopes. Figure 3: Hydrologic soil groups of Kardeh catchment.
  • 9. 583 Mahboubeh Ebrahimian, Lai Food See, Mohd Hasmadi Ismail and Ismail Abdul Malek Figure 4: Map of curve number values for Kardeh watershed. Figure 5: Relationship between the calculated CN from SCS standard tables and slope-adjusted CN ratio and land slope. 1.03 p<0.01 r = 0.75 1.02 Slope-adjusted/ tabulated CN ratio 1.02 1.01 1.01 1.00 1.00 0 10 20 30 40 50 60 Slope (%)
  • 10. Application of Natural Resources Conservation Service – Curve Number Method for Runoff Estimation with GIS in the Kardeh Watershed, Iran 584 Table 3: Slope-adjusted CN values for the study watershed CN Slope (%) Area (ha) CN constant(K) Slope-adjusted CN 35 17 77.3 1.005 35.18 36 16 83.9 1.005 36.18 43 36 428.9 1.015 43.65 47 30 1208.5 1.010 47.47 51 28 1836.9 1.010 51.51 55 45 2020.6 1.014 55.77 60 26 1262.6 1.010 60.60 62 18 102.3 1.006 62.37 63 31 2628.2 1.012 63.76 65 18.5 510.2 1.006 65.39 67 34 5864.6 1.013 67.87 70 43 5256.4 1.017 71.19 71 28 2204.9 1.010 71.71 73 35 809.6 1.013 73.95 76 28 803.0 1.010 76.76 77 21 44.2 1.007 77.54 78 30 4387.1 1.010 78.78 79 40 398.7 1.016 80.26 80 28 7930.9 1.010 80.80 85 44 6649.9 1.018 86.53 91 20 286.5 1.007 91.64 93 32 28.4 1.012 94.12
  • 11. 585 Mahboubeh Ebrahimian, Lai Food See, Mohd Hasmadi Ismail and Ismail Abdul Malek Table 4: Estimated runoff depths for rainfall events using NRCS-CN method Sum of prior 5- Estimated runoff Estimated slope-adjusted Observed Storm date Rainfall (mm) day rainfall (mm) depth (mm) runoff depth (mm) (mm) 14/5/1991 18.0 18.3 5.44 5.21 3.5 1/6/1992 17.0 0.2 5.71 5.47 8.2 11/7/1992 20.0 14.9 4.94 4.73 3.8 6/1/1993 26.1 29.7 6.56 7.55 5.6 8/3/1993 8.6 11.2 8.56 8.27 6.6 13/4/1993 22.9 4.4 4.30 4.12 11.0 7/5/1993 6.3 4.0 9.54 9.24 5.5 12/3/1994 11.0 22.2 0.92 1.21 4.6 14/6/1994 13.5 00 6.77 6.51 5.2 3/10/1994 5.9 2.8 9.72 9.42 5.6 1/5/1995 9.0 3.0 8.40 8.11 6.8 3/7/1995 19.0 9.6 5.18 4.96 2.4 4/2/1996 14.9 27.7 1.26 1.24 3.9 8/3/1996 17.7 44.9 2.77 3.40 5.0 14/3/1996 9.4 32.8 0.69 0.90 3.4 23/5/1996 6.6 9.8 9.41 9.11 7.2 27/5/1996 6.2 10.3 9.59 9.28 6.1 17/7/1996 23.5 00 4.18 4.01 3.3 6/5/1997 15.6 12.0 6.11 5.87 7.8 19/6/1997 24.1 7.9 4.07 3.90 7.3 1/8/1997 17.5 0.8 5.57 5.34 3.0 6/11/1997 8.0 14.3 2.34 2.19 1.5 9/2/1998 26.1 4.3 3.27 3.23 4.0 14/3/1998 6.1 1.2 7.73 7.47 5.9 26/3/1998 14.0 0.8 5.15 4.96 4.7 6/4/1998 25.1 2.6 3.34 3.29 5.3 27/4/1998 13.1 2.2 5.39 5.18 2.6 30/5/1998 7.8 4.5 7.07 6.82 4.3 22/7/1998 6.9 00 7.41 7.15 4.7 3/8/1998 5.3 0.5 8.07 7.80 7.5 14/8/1998 4.3 00 8.51 8.23 5.1 21/2/1999 27.1 3.8 3.20 3.18 4.4 28/4/2000 19.0 10.5 4.11 3.97 3.2 9/8/2000 8.1 1.1 6.96 6.71 5.2 18/8/2001 15.5 0.3 4.80 4.62 5.3 3.4. Comparison of estimated and observed runoff depth At first step in the analysis, percentage error was used to compare the difference between the estimated and observed runoff depth (Table 5). The maximum and minimum error between observed and estimated runoff depth were 115 and 7 percent, respectively. However, the maximum and minimum error between observed and slope-adjusted runoff depth were 106 and 4 percent, respectively. The mean percent error between observed and estimated runoff depth reduced from 46.26 % before adjusting for slope to 42.97 % after adjusting for slope (Table 5). In India, Pandey et al. (2003) reported that the maximum and minimum error between observed and estimated runoff depth were 68.33 and 3.27 percent, respectively. Malekian et al. (2005) also reported an average percent error of 68.3 between observed and estimated runoff by the CN method for 25 storm events in semi-arid areas of north western Iran. In this study, about 9 % and 6 % of the estimated and slope-adjusted values were within ±10% of the recorded values, respectively. About 34 and 37 percent were within ±30 % of the observed runoff. About 43 and 37 percent of the estimated and slope-adjusted values were in error by more than ±50 %, respectively (Table 5). A percent error of less than 50 % was considered acceptable (Boughton and Chiew, 2007 and Pandey et al., 2003). Statistical analysis indicated that percent error of estimated slope-adjusted runoff
  • 12. Application of Natural Resources Conservation Service – Curve Number Method for Runoff Estimation with GIS in the Kardeh Watershed, Iran 586 depth was significantly (P < 0.01) lower than the percent error of estimated runoff depth. This decline in percent error can be explained by the role of slope in runoff generation in mountainous watershed. One of the potential sources of error in runoff depth estimation is believed to be due to the rainfall and recorded runoff data input. The quality of the input data is the main determinant of the quality of the results in runoff estimation (Boughton and Chiew, 2007; Jacobs and Srinivasan, 2005). The presence of various land use/ cover classes or condition in the watershed, and mountainous topography and large area of the watershed may have played a part in the lack of acceptable runoff estimate results for selected storm events in this study. Field workers errors in recording rainfall and associated runoff data provide data with error to users which probably are another source of error. Pair wise comparison between the variable (observed vs. estimated runoff) means showed that there is no significant difference between means of estimated and observed data (P > 0.05). Therefore, estimated runoff depth by CN method was near to corresponding observed runoff depths (Table 6). Interestingly, Pandey et al. (2003) found that estimated direct runoff depth by the NRCS-CN method was significantly (P > 0.05) near to corresponding observed runoff depth in the Karso watershed, India. Similar results were reported by Pandey and Sahu (1999), Pandey et al. (2003) in India and Akhondi et al. (2001) in Iran.
  • 13. 587 Mahboubeh Ebrahimian, Lai Food See, Mohd Hasmadi Ismail and Ismail Abdul Malek Table 5: Details of percent error between estimated and observed runoff depth Percent Percent % of error error % of % of total total Study between % of between observe number of Acceptabi number Acceptabil storm slope observed estimated d storm lity of ity date adjusted and runoff and observed runoff events storm observed runoff events runoff 14/5/1991 7 4 0-10 5.7 Very high 1/6/1992 9 0-10 8.58 Very high 5 11/7/1992 9 12 6/1/1993 17 19 8/3/1993 18 19 13/4/1993 21 21 7/5/1993 23 24 12/3/1994 26 24 14/6/1994 27 24 10-30 37.3 high 10-30 34.30 high 3/10/1994 28 25 1/5/1995 29 25 3/7/1995 30 26 4/2/1996 30 26 8/3/1996 30 27 14/3/1996 30 29 23/5/1996 31 32 27/5/1996 33 33 17/7/1996 36 30-50 14.30 fair 34 6/5/1997 44 37 30-50 20 Fair 19/6/1997 45 46 1/8/1997 55 46 6/11/1997 56 48 9/2/1998 57 52 14/3/1998 57 52 26/3/1998 60 58 6/4/1998 64 61 27/4/1998 66 62 unacceptab 30/5/1998 68 > 50 43 68 le unacceptab 22/7/1998 73 68 > 50 37 le 3/8/1998 73 68 14/8/1998 80 73 21/2/1999 80 73 28/4/2000 85 78 9/8/2000 107 99 18/8/2001 115 106 Minimum = 7 Minimum = 4 Maximum = 115 100 Maximum = 106 100 Mean = 46.23 Mean = 42.97 The results showed that there is no provision to apply the NRCS-CN model in the Kardeh watershed for runoff estimation. It is noteworthy that the P values in Table 6 indicate that mean of slope-adjusted estimated data (5.50) are nearer to mean of observed data (5.11) than estimated data (5.63) in terms of depth. Low P value means estimated and observed data are roughly far from each other and vice versa. The comparison of observed runoff with estimated slope-adjusted runoff showed there is no significant difference between the means of observed and slope-adjusted estimated runoff (P > 0.05). It should be noted that for slope-adjusted runoff vs. observed runoff P value (0.27) was greater than P value for estimated runoff vs. observed runoff (0.16) (Table 6). This means that when runoff depths
  • 14. Application of Natural Resources Conservation Service – Curve Number Method for Runoff Estimation with GIS in the Kardeh Watershed, Iran 588 were adjusted for slope, their means (5.50) were nearer to observed runoff depths (5.11). This indicates that slope is an important factor in runoff estimation. In steep slope watersheds, estimated runoff must be adjusted for slope since the estimations are affected more. Table 6: Means comparison of estimated and observed runoff for the Kardeh watershed Slope-adjusted P Estimated runoff Observed runoff Variable runoff depth Estimated vs. Slope-adjusted depth (mm) depth (mm) (mm) observed vs. observed Mean 5.63 5.50 5.11 0.16 0.27 SD 2.53 2.41 1.90 A fairly direct positive correlations was found between observed and estimated data (r = 0.55; P < 0.01) and slope adjusted vs. observed runoff data (r = 0.56; P < 0.01). In India, Nayak and Jaiswal (2003) found a good correlation (about 90 %) between estimated and observed data in all eight sub- basins with various areas (less than 100 km2) of the Bebas watershed, although correlation decreased by increasing the area of the sub-basins. Akhondi (2001) pointed out that correlation coefficient (r) between observed and estimated runoff using the CN method decreased from 98 % to 17 % with increasing watershed area and decreasing rainfall (from semi-humid to semi-arid) in four watersheds with various areas and climate in semi-arid and semi-humid areas of south western Iran. Furthermore, Malekian et al. (2005) reported a correlation coefficient of 73 % between observed and estimated runoff by the CN method in a semi-arid watershed of northwestern Iran. In the present study, a fair correlation (about 55 %) between estimated and observed runoff depth could be attributable to the big area of the watershed. As discussed above, correlation is higher in small watersheds compared to bigger ones. Another reason behind this low correlation may be due to the use of a non-localized CN method in this study. The CN method parameters still have not been localized and modified based on Iranian condition. This should serve as a caution to managers and researchers utilizing the CN method for hydrologic modelling in Iran (Khojini, 2001 and Malekian et al., 2005). 4. Conclusions The following conclusions can be drawn from the study: • The incorporation of NRCS-CN model and GIS facilitates runoff estimation from watershed and can augment the accuracy of computed data. • Nevertheless there was no high significant correlation between estimated and observed runoff depth (r = 0.56; p < 0.01) in this study, but still there is no enough reason that curve number method should not be used for ungauged watersheds which do not have runoff records to produce runoff data for the purpose of management and conservation. • Although the results of this study failed to show the real effect of slope on runoff generation in the watershed due to the used equation (equation 5) at watershed scale, but the assessment of the effect of slope on rainfall-runoff relationship in NRCS-CN method should be extended further at watershed scale to get the effect on surface runoff generation. • In this study using of combined GIS and CN model to estimate runoff data in Kardeh watershed neither approved nor rejected completely. The results indicated that the combined GIS and CN method can be used in ungauged watershed with the same condition to Kardeh with about 60 percent accuracy only for management and conservation purposes not for computation of design floods.
  • 15. 589 Mahboubeh Ebrahimian, Lai Food See, Mohd Hasmadi Ismail and Ismail Abdul Malek Acknowledgement Authors acknowledge University Putra Malaysia for providing research fellowship to make this research possible. We are particularly grateful to Khorasan Razavi Regional Water Authority, Department of Watershed Management and Abkhiz Gostar Shargh Co. Ltd. for providing the data and maps of the study watershed. References [1] Akhondi, S., 2001. “An investigation of curve number model in flood estimation using Geographical information System (GIS)”, MSc thesis. Tarbiat Modares University, Tehran. [2] Boughton, W., and F. Chiew, 2007. “Estimating runoff in ungauged catchments from rainfall, PET and the AWBM model”, Environmental Modelling & Software 22, pp. 476-487. [3] Engel, B., J. Kyoung, Z.Tang, L. Theller, and S. Muthukrishnan, 2004. “WHAT (Web-based Hydrograph Analysis Tool)”, http://cobweb.ecn.purdue.edu/~what/ (accessed Feb. 2009). [4] Gandini, M.L., and E.J. Usunoff, 2004. “SCS Curve Number Estimation Using Remote Sensing NDVI in A GIS Environment”, Journal of Environmental Hydrology 12, (Paper 16). [5] Hossein, A.A., D.H. Pilgrim, G.W. Titmarsh, I. Cordery, 1989. “Assessment of U.S. Conservation Service method for estimating design floods. New direction for surface water modeling (Proceedings of the Balimore Symposium)”, IASH publication. No. 181, pp. 283- 291. [6] Huang, M., G. Jacgues, Z. Wang, and G. Monique, 2006. “A modification to the soil conservation service curve number method for steep slopes in the Loess Plateau of China” Hydrological processes 20(3), pp. 579-589. [7] Jacobs, J.H. and R. Srinivasan, 2005. “Effects of curve number modification on runoff estimation using wsr-88d rainfall data in Texas watersheds”, Journal of Soil and Water Conservation. 60 (5), pp. 274-278. [8] Khorasan General Office of Natural Resources, 1993. “Watershed management plan for Kardeh dam watershed”, Report. 50p. [9] Khorasan Razavi Jihad-e-Agriculture Organization, 1996. “Evaluation of land capability and soil of the Kardeh watershed”, Watershed Management Department, 150p. [10] Khorasan Razavi General Office of Natural Resources, 2001. “Rangeland Vegetation Cover of Kardeh Watershed”, Report. 89 p. [11] Khorasan Razavi Regional Water Authority, 2001. “Climatology of Kardeh Dam”, report. 180p. [12] Khojini, A. 2001. “Investigation on the applicability of the SCS-CN method in runoff depth and peak discharge estimation in representative watersheds of Alborz Mountain chain”, Research and reconstruction 38, pp. 12-15. [13] Malekian A., M. Saravi Mohseni and M. Mahdavi, 2005. “Applicability of the USDA-NRCS Curve Number method for runoff estimation”, Iranian Journal of Natural Resources 57(4), pp. 621-633. [14] Melesse A.M., S.F. Shih, 2002. “Spatially distributed storm runoff depth estimation using Landsat Images and GIS”, Computers and Electronics in Agriculture 37, pp.173-183. [15] Nassaji M. and M. Mahdavi, 2005. “The determination of peak-flood using different curve number methods (case study, Central Alborze area)”, Iranian Journal of Natural Resources 58(2), pp. 315-324. [16] Nayak, T.R. and R.K. Jaiswal, 2003. “Rainfall-runoff modelling using satellite data and GIS for Bebas river in Madhya Pradesh”, IE (I) Journal 84, pp.47-50. [17] Pandey, A. and A. K. Sahu, 2002. Generation of curve number using remote sensing and Geographic Information System”, http://www.GISdevelopment.net (accessed on Sep. 2007).
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