Curve Estimation Modeling between Area and Volume of Landslides in Tajan River Basin, North of Iran

Determining landslide size could be a difficult and expensive task. In this research, size parameters of ۱۴۲ landslides recognized in Tajan River Basin, northern Iran, have been assessed. The dataset was prepared through the extensive field surveys and using the satellite imagery available via Google Earth. Dependence between landslides area (A-m۲), volume (V-m۳), and depth (D-m) was appointed by the Pearson correlation coefficient (r) at ۰.۰۵ and ۰.۰۱ levels. Then, the relation between the area and volume variables has been investigated using ۱۰ curve estimation (CE) models. Coefficient of determination (R۲), F statistic, and RMSE were calculated to compare the models with each other. Results showed that the power law fit the data better than other CE models. Although, the quadratic and cubic relationships have represented high R۲ and low RMSE, they have resulted negative estimated volumes, and also their F statistic is less than its value in power law. To achieve a better result, the estimated volumes were compared with the observed ones using paired test. Results indicated that the estimated volumes were in conformity with the observed ones and there was no statistically significant difference between them (R۲=۰.۸۰۱, sig=۰.۶۳۳). Although, the estimated depths were significantly different from the observed ones. The mean depth was estimated ۵.۵ m which was close to mean of the actual depths (۵.۵۳ m).

کلیدواژه ها:

Coefficient of determination ، Depth ، Pearson correlation coefficient ، Power model