Exact(2)
The cross section factor C represents the effect of a lateral concavity or hollow on the triggering of shallow landslides.
The cross section factor can be defined as: C=frac{A_L}{A}tan {theta}_1+frac{A_R}{A}tan {theta}_2 (3)in which: C is the cross section factor; A L is the area of the left side (m); A R is the area of right side (m); θ 1 is the slope angle of the left side in cross-section; θ 2 is the slope angle of right side in cross-section (Fig. 4).
Similar(58)
As a result, the upslope and cross-section factor (hollow) have a larger effect.
Fig. 6 The relationship between the slope angle factor S and cross-section factor C. a. Sub-area 1; b.
(2) The role of the slope angles is more important than the role of the upslope factor, the cross-section factor, and the free-face factor.
Fig. 8 a.- d. shows the relationship of slope angle factor S and combined factor G + F (upslope factor U and cross-section factor C) using the topographical factor with Eq. 7-10.
Sub-area 4. All figures show again the posive effect of a larger slope angle factor S and cross-section factor C on the possibility of triggering shallow landslides.
The digital elevation data used in the validation process has a reasonable high-quality, but the 5-m contour interval may cause errors for the upslope factor and especially for the cross-section factor.
To obtain the relationship between the slope angle factor S and the cross-section factor C, we compared shallow landslides and stable slopes with the same value of the upslope factor and free-face factor.
The following conclusions can be drawn from our study: (1) The major topographic factors related with the occurrence of shallow landslides are the slope angle factor, the upslope factor, the cross-section factor, and the free-face factor.
To obtain the relationship between the slope angle factor S and the upslope factor U, a comparison between shallow landslides and stable slopes is needed with the same value of the cross-section factor C and free-face factor F. The topographic data in which C = 0, and F > 0 (free-face is available) is satisfying this condition.
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