Stochastic procedure to extract and to integrate landslide susceptibility maps: an example of mountainous watershed in Taiwan

Abstract. The Generalized Likelihood Uncertainty Estimation (GLUE) is here incorporated into a deterministic landslide model (SHALSTAB) to generate 4000 landslide susceptibility maps which enclose various combinations of full range parameters. Furthermore, an improved index is adopted into GLUE as a criterion to measure model performance, and through that, 200 maps holding top 5% performance are retrieved. Proper ranges for parameters are obtained through GLUE yet they only perform well if combined appropriately. The 200 better maps are overlapped to construct an integrated landslide susceptibility map. Instead of giving a single parameter set or a single susceptibility map, the merit of extracting and integrating procedure is to envelope uncertainties inherited in model structure and input parameters. Bias due to subjective parameter input is potentially reduced. The entire procedure is applied to the Chi-Jia-Wan, a mountainous watershed in Taiwan. The integrated map shows high-risk area (>50% predicted landslide probability) only occupies 16.4% of the entire watershed while able to correctly identify 60% of the actual landslides. For areas above 2100 m height the map is even more successful (projects 77 of the 98 actual landslides). Interactions among parameters are discussed to highlight the unsolvable equifinality problem and improperness of presenting a single model result.

[1]  E. O'Loughlin Prediction of Surface Saturation Zones in Natural Catchments by Topographic Analysis , 1986 .

[2]  David G. Tarboton,et al.  Assessing Terrain Stability in a GIS using SINMAP , 2001 .

[3]  Keith Beven,et al.  Prophecy, reality and uncertainty in distributed hydrological modelling , 1993 .

[4]  R. Sidle,et al.  Hillslope stability and land use , 1985 .

[5]  Keith Beven,et al.  A manifesto for the equifinality thesis , 2006 .

[6]  Shallow Landslide Delineation for Steep Forest Watersheds Based on Topographic Attributes and Probability Analysis , 2007 .

[7]  Keith Beven,et al.  Equifinality, data assimilation, and uncertainty estimation in mechanistic modelling of complex environmental systems using the GLUE methodology , 2001 .

[8]  David G. Tarboton,et al.  The SINMAP Approach to Terrain Stability Mapping , 1998 .

[9]  K. Beven,et al.  A physically based, variable contributing area model of basin hydrology , 1979 .

[10]  James C. Bathurst,et al.  Physically based modelling of shallow landslide sediment yield at a catchment scale , 1998 .

[11]  Keith Beven,et al.  The future of distributed models: model calibration and uncertainty prediction. , 1992 .

[12]  K. Beven,et al.  Bayesian Estimation of Uncertainty in Runoff Prediction and the Value of Data: An Application of the GLUE Approach , 1996 .

[13]  L. Montanarella,et al.  Modeling sediment yields in Italian catchments. , 2005 .

[14]  Pixar Animation Studios,et al.  Physically Based Modeling , 2001 .

[15]  R. Sidle,et al.  A conceptual model of changes in root cohesion in response to vegetation management. , 1991 .

[16]  Y. Mitani,et al.  Spatial probabilistic modeling of slope failure using an integrated GIS Monte Carlo simulation approach , 2003 .

[17]  Luca Montanarella,et al.  Soil erosion risk assessment in Italy , 1999 .

[18]  D. Tarboton A new method for the determination of flow directions and upslope areas in grid digital elevation models , 1997 .

[19]  Lorenzo Marchi,et al.  Assessment of shallow landsliding by using a physically based model of hillslope stability , 2002 .

[20]  Keith Beven,et al.  Rainfall‐runoff modelling of a humid tropical catchment: the TOPMODEL approach , 2002 .

[21]  C. Thorne,et al.  Quantitative analysis of land surface topography , 1987 .

[22]  N. Diodato Local Models for Rainstorm-induced Hazard Analysis on Mediterranean River-torrential Geomorphological Systems , 2022 .

[23]  S. R. Kessell Testing the Model , 1979 .

[24]  R. Sidle,et al.  A distributed slope stability model for steep forested basins , 1995 .

[25]  Carol S. Tatay Level I Stability Analysis (LISA) Documentation for Version 2.0 , 1996 .

[26]  D. Montgomery,et al.  A physically based model for the topographic control on shallow landsliding , 1994 .

[27]  W. Dietrich,et al.  Testing a model for predicting the timing and location of shallow landslide initiation in soil‐mantled landscapes , 2003 .

[28]  Mark S. Wigmosta,et al.  Land use and watersheds : human influence on hydrology and geomorphology in urban and forest areas , 2001 .

[29]  Leonardo Noto,et al.  Influence of surface roughness in hydrological response of semiarid catchments , 2005 .

[30]  M. Borga,et al.  Shallow landslide hazard assessment using a physically based model and digital elevation data , 1998 .

[31]  S. Kao,et al.  Optimal estimator for assessing landslide model performance , 2006 .

[32]  William E. Dietrich,et al.  Cosmogenic nuclides, topography, and the spatial variation of soil depth , 1999 .