In the present study, landslides susceptibility areas were identified and collected with the support of GPS along the periphery, and wherever, inaccessibility condition we supported with Google Earth image, then point and polygon data for were prepared as KML format which was later converted into vector (Fig. 3). Landslides near to crop land is very serious and common in the study area (Fig. 4).
The major soil texture in the study area is sandy loam, clay and clay loam accounting 37%, 19.84% and 17.2%, respectively. Whereas, sandy clay loam and loam share about 15.54% and 10.22% of the total cover area, respectively (Table, 1). The highest landslide is occurred in sandy loam textural classes. As indicated in Sharma et al. (2012) Sandy loams have low organic matter content and easily detach and results in landslide.
Regarding landslide occurrence in each category of soil texture in the study area sandy loam accounts the greater share and is mostly distributed in the west to south western part of the study area (Fig. 5). Textural classes are distributed where past landslide is occurred i.e. sandy loam has greater influence on landslide. Moreover, sandy loam has manifested the greater share (52%) of total landslide occurrences in 37.2% of the total study area. Study by (Maidment,1992) indicates that sandy loam has maximum value in terms of angle of friction and porosity which has a direct relation with slope instability.
Assigning rank for LULC
From the LULC, the vegetative areas are less susceptible to landslides in the areas. Vegetation can adversely influence soil stability (Subramani and Krishnan, 2015). Woldaregay (2013) also confirmed that deforestation and land degradation are the major contributing factors for landslides hazardous in Ethiopia. The maximum probability of landslide occurrence was observed in cultivated land with 9 landslide incidences out of 25, built-up is the second land use that have manifested 7 landslides, whereas, dense forest, sparse forest and grazing land showed a low probability of landslide hazard index. Thus, the incidence of landslide is inversely related to the vegetation density. Hence, built-up and barren slopes are more prone to landslide activity.
Landslide frequency is mostly found at mountainous and hilly regions (Sharma et al., 2012), where forests have been severely destroyed due to the deforestation (Mersha and Meten, 2020). About 57% of the basin is dominated by low to high density of vegetation. The cultivated land covers 15%, grassland, built-up accounts 13% and 12%, respectively. The remaining 4% are bare land (Table 2). In summer season, the hilly and mountainous area that have less covered vegetation and utilized for agriculture and barren land are more susceptible to landslide.
Table 1
Distribution of soil texture and landslide occurrence in the study area
No
|
Textural class
|
Area in ha
|
Area in %
|
Rank
|
#landside occur
|
1
|
Clay
|
31235.94
|
19.84
|
2
|
3
|
2
|
Sandy loam
|
58567.38
|
37.2
|
5
|
13
|
3
|
SCL
|
24466.05
|
15.54
|
3
|
3
|
4
|
Clay loam
|
27071.55
|
17.19
|
1
|
5
|
5
|
Loam
|
16098.28
|
10.22
|
1
|
1
|
|
Total
|
157439.2
|
100
|
|
25
|
Table 2
Land use land cover categories’ and landslide occurrences in the study area
No
|
LULC class
|
Area in ha
|
Area (%)
|
Rank
|
# landslide occurrence
|
1
|
Dense Forest
|
61401.29
|
39
|
1
|
1
|
2
|
Sparse Forest
|
26764.66
|
17
|
3
|
3
|
3
|
Cultivated land
|
23615.88
|
15
|
4
|
9
|
4
|
Grass land
|
20467.09
|
13
|
2
|
2
|
5
|
Built up
|
18892.72
|
12
|
5
|
7
|
6
|
Barren land
|
6297.56
|
4
|
5
|
4
|
|
Total
|
157439.2
|
100
|
|
25
|
Table 3
Pair wise comparison matrix of parameter selected for this study
Factors
|
Slope
|
Drainage density
|
SPI
|
Soil texture
|
TWI
|
Lithology
|
LULC
|
TRI
|
HI
|
Road
|
Aspect
|
Slope
|
1
|
2
|
2
|
2
|
2
|
3
|
3
|
4
|
5
|
5
|
6
|
Drain. density
|
½
|
1
|
2
|
2
|
2
|
3
|
3
|
4
|
5
|
5
|
6
|
SPI
|
½
|
1/2
|
1
|
2
|
2
|
2
|
3
|
3
|
3
|
4
|
5
|
Soil texture
|
½
|
1/2
|
1/2
|
1
|
2
|
2
|
3
|
3
|
3
|
3
|
4
|
TWI
|
½
|
1/2
|
1/2
|
1/2
|
1
|
2
|
2
|
3
|
4
|
5
|
5
|
Lithology
|
1/3
|
1/3
|
1/2
|
1/2
|
1/2
|
1
|
2
|
3
|
3
|
4
|
4
|
LULC
|
1/3
|
1/3
|
1/3
|
1/3
|
1/2
|
1/2
|
1
|
2
|
3
|
3
|
4
|
TRI
|
¼
|
1/4
|
1/3
|
1/3
|
1/3
|
1/3
|
1/2
|
1
|
2
|
3
|
3
|
HI
|
1/5
|
1/5
|
1/3
|
1/3
|
1/4
|
1/3
|
1/3
|
1/2
|
1
|
3
|
4
|
Road
|
1/5
|
1/5
|
1/4
|
1/3
|
1/5
|
1/4
|
1/3
|
1/3
|
1/3
|
1
|
3
|
Aspect
|
1/6
|
1/6
|
1/5
|
1/4
|
1/5
|
1/4
|
1/4
|
1/3
|
1/4
|
1/3
|
1
|
Σ=
|
4.42
|
6.07
|
7.95
|
9.58
|
10.98
|
14.56
|
18.36
|
21.16
|
29.58
|
35.33
|
44
|
Table 4
µmax of considered parameter
Factors
|
Slope
|
Drainage density
|
SPI
|
Soil texture
|
TWI
|
Lithology
|
LULC
|
TRI
|
HI
|
Road
|
Aspect
|
Coloumn totals
|
4.42
|
6.07
|
7.95
|
9.58
|
10.98
|
14.56
|
18.36
|
21.16
|
29.58
|
35.33
|
44
|
Weight
|
0.198
|
0.173
|
0.133
|
0.113
|
0.105
|
0.081
|
0.063
|
0.046
|
0.04
|
0.029
|
0.02
|
µmax=(4.42*0.198)+(6.07*0.17.3)+(7.95*0.11.3)+(10.98*0.105)+(14.56*0.081)+(18.36*0.063)+(21.16*0.046)+(29.58*0.04)+(35.33*0.029)+(44*0.02) = 10.36
|
In AHP, all factors are compared pairwise in terms of the intensity of their importance using a continuous 1-9-point scale (Table, 3). This scale enables the decision-maker to incorporate experience and knowledge intuitively (Ladas et al., 2007).
In AHP the importance matrix needs to be analyzed by Eigen value for normalization. To normalize the value, we divide the value by its total column and to calculate weight we consider the mean value of the rows. The most critical threat to landslides is slope, as they are subjected to gravitational force. The second is drainage density as they accelerate erosion process. As the value of the stream density increases, the susceptibility of landslide increase.
Soil texture also plays a vital role in this area for landslide activity. Hence, these are given higher rating, whereas loam and clay loam are less prone to landslide as observed in the field. The LU/LC considered in this study area are dense forest, sparse forest, grass land, bare land, settlement and cultivated area in steep slope area. The landslide occurrence probability value is higher in Barren land, sparse forest, and cultivated land area and lower in dense forest. TWI was classified into five classes and ratings were given in increasing order as TWI value increases. The road construction most often causes slope instability therefore, distance of 50 m from the road side is considered the most prone to landslide activity than the rest of area. The final step is calculating consistency ratio (CR) to consider how the judgment is relatively correct or not. If CR > 0.1 our judgment is not accepted and if it is less than 0.1 it is accepted according to Saaty (1980). The CR is calculated as follows:

Where
µmax is the principal Eigen value and n is the number of parameters employed in our case 10. µmax is the Σ of each weight to multiplied by column total in our case (Table, 4).
Thus CI= (µmax-1)/n-1=(10.39-10)/10 − 1 where n is number of parameter in our case 10 CI = 0.064.
CR = CI /RI = 0.064/1.49 = 0.042. Therefore, the CR is less than 0.1 and the weight of each factor were worked out as next.
Landslide susceptibility mapping
After AHP pairwise comparison method performed, all factors were combined using the weighted linear combination (WLC) method which is one of the most commonly used in multi-criteria evaluation (Ayalew and Yamagishi,2004). The weights of the factors were linearly combined (WLC) to obtain the landslide susceptible index (LSI) following Mersha and Meten, (2020) as indicated in Eq. 2.

Where:
LSI = Landslide susceptibility index
FR = Frequency ratio
N = the number of selected causative factors.
Due to the criterion weights being summed to one, the final scores of the combined solution are expressed on the same scale (Feizizadeh and Blaschke 2013). In this case, the higher the factor weight. the more influence on the final landslide susceptibility map (Saaty, 1977). The LSZ map of upper Didessa sub basin is graded into five classes as vary low, low, moderate, high and very high using natural break method of Jenks available in ArcGIS (Figure, 6). ArcMap identifies break points by picking the class breaks that best group similar values and maximize the differences between classes.
Analysis of output LHZ Map
The landslide distribution results show that 12% and 6% of the total land area are high and very high susceptibility to landslide (Table 5). The high hazard zone is found surrounding the areas of moderate and encompass, whereas moderate hazard zones is occurring in the north western, central and north eastern parts of the study area major portions of low hazard zone and very low hazard zones exist in the east to NE and south west parts of the study area part of the study area have clearly indicated moderate to very high susceptibility zones (Figure, 7).
Table 5
Weighted linear combination landslide susceptibility distribution results
No
|
Susceptibility
|
Area (ha)
|
Area (%)
|
1
|
Very low Susceptibility
|
34062.23
|
21.6
|
2
|
Low Susceptibility
|
57178.11
|
36.3
|
3
|
Moderate Susceptibility
|
37859.81
|
24
|
4
|
High Susceptibility
|
18892.7
|
12
|
5
|
Very High
|
9446.35
|
6
|
|
Total
|
157438.79
|
100
|