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Table 1 Descriptions of geometric signatures used in this study

From: Classification of topography for ground vulnerability assessment of alluvial plains and mountains of Japan using 30 m DEM

Geometric signature

Description

lnSLOPE

Logarithmic value of slope gradient (degrees, add 1 to avoid logarithmic conversion of zero) calculated by SLOPE command of ArcGIS Spatial Analyst.

lnHAND

Logarithmic value of HAND (meters, add 1 to avoid logarithmic conversion of zero) calculated by TauDEM (Tarboton 2005; Liu et al. 2016). D-infinity method (Tarboton 1997) was used to calculate flow directions. The threshold of extracting drainages was 150,000.

TEXTURE

Density of pits and peaks extracted by 3 × 3 median filter with a radius of 10 cells (Iwahashi and Pike 2007). In this study, the threshold of pits and peaks extraction was set to 5 m to avoid DEM noise.

CONVEXITY

Density of convex points extracted by 7 × 7 LOG filter with a radius of 20 cells. The window size has been enlarged compared to the original local convexity (Iwahashi and Pike 2007) to avoid DEM noise.