International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part B7. Istanbul 2004
which is the rainfall-runoff relation used in the SCS method
(SCS, 1972). A transformation of S, the runoff curve number or
hydrologic soil-cover complex number CN, was developed by
SCS to facilitate with the calculations:
Sz ss (0m — i0 Jum) (2)
CN
Substituting Equation 2 into Equation 1 gives the basic SCS
relationship for estimating Q from P and CN, which has the
advantage of having only one parameter since CN can readily
be extracted from published tables, such as the following
extract (Table 1), which contains only information relevant to
this study:
Landuse/Landcover slope Soil group
A-IB ic |D
Urban 23 26. 96 96 . 96
<3 93 93 93 93
Orchards >3 68 78 84 88
<3 64.5 73 * 78 8
Irrigated 23 56... 70 . 80 84
«3 82- 67: -76 79
Bare 23 94 94 94 94
<3 9p 919A 9
Matorral, (Xaló) 46 68 18 8
Matorral (Lesbos) $6 .735., 86. Ol
Maquis, sparse 46 08 78 83
Maquis, dense 40< 60-75-69: 76
Forest, decidious 36 ‘52 62 69
Forest (Xaló) 40 00 69 76
Forest (Lesbos) 20 44,1 34 60
Table 1. SCS Curve numbers (after Ferrer et al., 1995)
As can be seen from the above sample table, the value of CN
depends on factors such as landuse/cover, slope and soils which
the SCS has divided into four groups according to their
infiltration, retention and evaporation capacity. These factors
control not only the amount of water that becomes runoff, but
also the initial abstraction I,, since they are closely related to
the amount of interception, initial infiltration, surface
depression storage, evaporation and transpiration.
In order to estimate runoff, the LULC maps were combined
with the data of Table 1 to extract the necessary SCS CN. For
the Xalo area, soil textural data, namely percentages of sand,
silt and clay, from 16 point locations in the wider catchment
area, were combined with lithological maps to extrapolate the
point measurements over the area and produce three separate
maps of percentage sand, silt and clay. These were then
combined with the United States Department of Agriculture
(USDA) soil textural triangle (Miller, 1996) to create a map of
the four SCS soil groups. In the case of Lesbos, the previously
mentioned 1:200000 textural soils data were employed. The
resulting CN maps were then used along with Equations 1 and 2
556
and rainfall data to estimate runoff Q. As for the precipitation
data, a uniform 200mm rainfall map, representing an event with
a 10-year return period (Gisbert and Ibáüez, 2003), was used
over Xaló. Due to the lack of such information for the island of
Lesbos, rainfall values of a minimum of 100mm and a
maximum of 200mm were distributed over the island according
to the altitude of each pixel and the climatic zone to which it
belonged, using the following equation:
P, = 100 + 100/ £x 2 (3)
max
where — P, - precipitation at point X (mm)
Z, 7 altitude at point X (m)
7 = maximum altitude over the island (m)
max
w, = linear weight according to climatic zone
3.4 Erosion modelling
Thornes (1985, 1989) established a physical-based soil erosion
model by combining sediment transport and vegetation
protection in the following equation:
E-4AQ" s" e" (4)
where E = erosion (mm)
k = soil erodibility coefficient
Q = overland flow (mm)
s = slope (%
VC = vegetation cover (%)
The coefficients m and n have been described by a number of
researchers. They vary according to different measurements: m
changes between 0.91 to 2.07 and n from 0.24 and 1.67.
Thornes (1976) suggested values of 2.0 for m and 1.67 for n.
When modelling the competitive behaviour of vegetation and
erosion, Thornes (1990) indicated that erosion is reduced
exponentially in relation to the bare soil value by increased
vegetation cover. The value b=-0.07 was used which is in
accordance with the results of other researchers for a variety of
environments (Drake et al., 2004, Symeonakis and Drake, 2004;
Thornes, 1990).
Vegetation cover was then estimated using the NDVI estimate
and the scaled NDVI or N*, which is equal to (Choudhury et
al., 1994, Carlson et al., 1995):
yo NDVI - NDVI, (5)
NDVI , - NDVI ,
where NDVI, = the value of NDVI at 100% cover
NDVI ; = the value of NDVI for bare soil
According to Carlson et al., (1995), the index N* is useful
because it is relatively insensitive to viewing angle, sensor drift, '
and uncertainties in atmospheric corrections.
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