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Quantitative spatial distribution model of site-specific loess landslides on the Heifangtai terrace, China

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Abstract

Landslide disasters are associated with severe losses on the Loess Plateau of China. Although early warning systems and susceptibility mapping have mitigated this issue to some extent, most methods are qualitative or semi-quantitative in the site-specific range. In this paper, a quantitative spatial distribution model is presented for site-specific loess landslide hazard assessment. Coupled with multi-temporal remote sensing images and high-precision UAV cloud point data, a total of 98 loess landslides that have occurred since 2004 on the Heifangtai terrace were collected to establish a landslide volume-date and retreating distance database. Eleven loess landslides are selected to construct a numerical model for parameter back analysis, and the accuracy of the simulation results is quantitatively evaluated by the centroid distance and overlapping area. Different volumes and receding distance rates of landslides are fitted to determine the relationship between cracks and potential volume, and different volumes and parameters are combined to simulate the spatial distribution of potential loess landslides. The results of this study reveal that landslide volumes mainly range between 1 × 103 and 5 × 105 m3, and the historical occurrence probability reaches 0.551. The optimal parameters are estimated by the maximum likelihood method to obtain a uniform distribution parameter value probability model, and the results show that the error of the estimated length within a range of 0.05 from the optimal parameter does not exceed 15%. In the selected slope slide case, farmland near the toe of the slope primarily includes exposed hazards with probabilities greater than 0.7. This work provides a useful reference for local disaster reduction and a theoretical methodology for hazard assessments.

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Acknowledgments

We acknowledge that Prof. X.M. Meng from Lanzhou University and Prof. M.S. Zhang from Key laboratory for Geo-hazards in Loess Area, MLR/Xi'an Center of Geological Survey provided the terrain elevation data of HFT in 2001, 2010, and 2013.

Funding

This research is financially supported by the National Nature Science Foundation of China (Nos. 41630640, 41790445, and 41877254), and the Science Fund for Creative Research Groups of the National Natural Science Foundation of China (No. 41521002).

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Correspondence to Qiang Xu or Dalei Peng.

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Highlights

• The volume occurrence probability was established based on time-volume information from a landslide database with 98 events.

• Over 400 groups of inversion cases of 11 loess landslides were evaluated to determine the optimal parameters for a numerical model.

• Classical probability models and interval estimates of uniform distribution function models are used to quantitatively determine the probability of occurrence.

• Typical cases are selected to verify the accuracy of the probability model and predict the spatial distribution probability of potential case failures.

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Zhou, Q., Xu, Q., Peng, D. et al. Quantitative spatial distribution model of site-specific loess landslides on the Heifangtai terrace, China. Landslides 18, 1163–1176 (2021). https://doi.org/10.1007/s10346-020-01551-y

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  • DOI: https://doi.org/10.1007/s10346-020-01551-y

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