Digital mapping of soil erodibility factors based on decision tree using geostatistical approaches in terrestrial ecosystem

•Erosion susceptibility indexes are important for sustainable soil management.•USLE-K factor class was successfully predicted with the CART algorithm.•CHAID and Exhaustive CHAID algorithms made predictions at a similar level.•Simple kriging was successful in the erosion indexes distribution maps.•Mass fractal dimension was found to be associated with susceptibility indices. The improper and unconscious use of the soil, a production material for humans, increases the risk of desertification and degradation. This study examines the some erosion susceptibility parameters such as soil erosion factor (USLE-K), dispersion ratio, and aggregate stability by applying various algorithms in decision trees and evaluating the spatial distribution of these properties using multiple interpolation method. While determining statistically significant correlations (P