Abstract
A new method for estimating shallow landslide susceptibility by combining Geographical Information System (GIS), nonparametric kernel density estimation and logistic regression is described. Specifically, a logistic regression is applied to predict the spatial distribution by estimating the probability of occurrence of a landslide in a 16 km2 area. For this purpose, a GIS is employed to gather the relevant sample information connected with the landslides. The advantages of pre-processing the explanatory variables by nonparametric density estimation (for continuous variables) and a reclassification (for categorical/discrete ones) are discussed. The pre-processing leads to new explanatory variables, namely, some functions which measure the favourability of occurrence of a landslide. The resulting model correctly classifies 98.55% of the inventaried landslides and 89.80% of the landscape surface without instabilities. New data about recent shallow landslides were collected in order to validate the model, and 92.20% of them are also correctly classified. The results support the methodology and the extrapolation of the model to the whole study area (278 km2) in order to obtain susceptibility maps.
Similar content being viewed by others
References
Atkinson PM, Massari R (1998) Generalized linear modelling of landslide susceptibility in the Central Apennines, Italy. Comput Geosci 24:373–385
Ayala-Carcedo FJ, Cubillo S, Álvarez A, Domínguez-Cuesta MJ, Laín L, Laín R, Ortiz G (2003) Large scale rockfall reach susceptibility map in La Cabrera Sierra (Madrid) performed with GIS and dynamic analysis at 1:5,000. Nat Hazards 30:325–340
Ayalew L, Yamagishi H (2005) The application of GIS-based logistic regression for landslide susceptibility mapping in the Kakuda-Yahiko Mountains, Central Japan. Geomorphology 65:15–31
Beguería S (2006) Changes in land cover and shallow landslide activity: a case study in the Spanish Pyrenees. Geomorphology 74:196–206
Carrara A, Cardinali M, Detti R, Guzzetti F, Psqui V, Reichenbach P (1991) GIS techniques and statistical models in evaluating landslide hazard. Earth Surf Processes Landf 16:427–445
Carrara A, Cardinali M, Guzzetti F, Reichenbach P (1995) GIS technology in mapping landslide hazard. In: Carrara A, Guzzetti F (eds) Geographical Information System in assessing natural hazards. Kluwer, The Netherlands, pp 135–175
Chung CF, Fabbri A (1993) The representation of geoscience information for data integration. Norenewable Resour 2:122–139
Chung CF (2006) Using likelihood ratio functions for modeling the conditional probability of occurrence of future landslides for risk assessment. Comput Geosci 32:1052–1068
Chung CF, Fabbri A, Van Westen CJ (1995) Multivariate regression analysis for landslide hazard zonation. In: Carrara A, Guzzetti F (eds) Geographical Information Systems in assessing natural hazards. Kluwer, The Netherlands, pp 107–133
Chung CF, Fabbri A (1999) Probabilistic prediction models for landslide hazard mapping. Photogram Eng Remote Sens 65:1389–1399
Dai FC, Lee CF (2002) Landslide characteristics and slope instability modeling using GIS, Lantau Island, Hong Kong. Geomorphology 42:213–228
Domínguez-Cuesta MJ (2005) Geomorfología e inestabilidad de ladera en la Cuenca Carbonífera Central (Valle del Nalón, Asturias). Análisis de la susceptibilidad ligada a los movimientos superficiales del terreno. Servicio de Publicaciones de la Universidad de Oviedo, Spain. 293 p
Domínguez-Cuesta MJ, Jiménez-Sánchez M, Rodríguez-García (1999) A press archives as temporal records of landslides in the North of Spain: relationships between rainfall and instability slope events. Geomorphology 30:125–132
Domínguez-Cuesta MJ, Jiménez-Sánchez M, Berrezueta E (2007) Landslides in the Central Coalfield (Cantabrian Mountains, NW Spain): Geomorphological features, conditioning factors and methodological implications in susceptibility assesment. Geomorphology 89:358–369
Franks CAM (1999) Characteristics of some rainfall-induced landslides on natural slopes, Lantau Island, Hong Kong. Q J Eng Geol 32:247–259
Gokceoglu C, Sonmez H, Ercanoglu M (2000) Discontinuity controlled probabilistic slope failure risk maps of the Altindag (settlement) region in Turkey. Eng Geol 55:277–296
Guzzetti F, Carrara A, Cardinali M, Reichenbach P (1999) Landslide hazard evaluation: a review of current techniques and their application in a multi-scale study, Central Italy. Geomorphology 31:181–216
Fabbri AG, Chung CF, Cendrero A, Remondo J (2003) Is prediction of future landslides possible with a GIS? Nat Hazards 30:487–499
Harrell FE (2001) Regression modeling strategies. Springer, New York
Huabin W, Gangjun L, Weiya X, Gonghui W (2005) GIS-based landslide hazard assessment: an overview. Prog Phys Geogr 29:548–567
IGME (1970–1988) Mapa geológico de España a Escala 1:50,000 (Hojas N° 29, 53, 54, 78 and 79 del Plan MAGNA). Instituto Geológico y Minero de España, Spain
INDUROT (1994–1997) Plan de Cartografía Temática Ambiental del Principado de Asturias a escala 1:25,000 (Hojas 29-III, 29-IV, 53-I, 53-II, 53-IV, 54-I, 54-III, 78-II and 79-I del CTAPA). Gobierno del Principado de Asturias
Jiménez-Sánchez M (2002) Slope deposits in the Upper Nalón River Basin (NW Spain): an approach to a quantitative comparison. Geomorphology 43:165–178
Jiménez-Sánchez M, Farias P, Rodríguez A, Menéndez R (1999) Landslide development in a coastal valley in Northern Spain: conditioning factors and temporal occurrence. Geomorphology 30:115–122
Julivert M (1967) La ventana del río Monasterio y la terminación meridional del Manto del Ponga, vol 1. Trabajos de Geología de la Universidad de Oviedo, Spain, pp 39–46
Kleinbaum DG, Klein M (2002) Logistic regression. A self-learning text. Statistics for biology and health. Springer, New york
Lee S, Min K (2001) Statistical analysis of landslide susceptibility at Yongin, Korea. Environ Geol 40:1095–1113
Luzi L, Pergalani F, Terlien MTJ (2000) Slope vulnerability to earthquakes at subregional scale, using probabilistic techniques and geographic information systems. Eng Geol 58:313–336
Marquínez J, Menéndez-Duarte R, Farias P, Jiménez-Sánchez M (2003) Predictive GIS-based model of rockfall activity in Mountain Cliffs. Nat Hazards 30:325–340
Menéndez-Duarte R, Marquínez J, Devoli G (2003) Slope instability in Nicaragua triggered by Hurricane Mitch: distribution of shallow mass movements. Environl Geol 44:290–300
Mowen X, Tetsuro E, Guoyun Z (2004) GIS-Based probabilistic mapping of landslide hazard using a three-dimensional deterministic model. Nat Hazards 33:265–282
Ocakoglu F, Gokceoglu C, Ercanoglu M (2002) Dynamics of a complex mass movement triggered by heavy rainfall: a case study from NW Turkey. Geomorphology 42:329–341
Remondo J, González A, Díaz de Terán JR, Cendrero (2003) A landslide susceptibility models utilising spatial data analysis techniques. A case study from the Lower Deba Valley, Guipúzcoa (Spain). Nat Hazards 30:267–279
Silverman BW (1986) Density estimation for statistics and data analysis. Chapman and Hall, London
Van Den Eeckhaut M, Vanwalleghem T, Poesen J, Govers G, Verstraeten G, Vandekerckhove L (2006) Prediction of landslide susceptibility using rare events logistic regression: a case-study in the Flemish Ardennes (Belgium). Geomorphology 76:392–410
Van Westen CJ, Terlien TJ (1996) An approach towards deterministic landslide hazard analysis in GIS: a case study from Manizales Colombia. Earth Surf Processes Landf 21:853–868
Van Westen CJ, Rengers N, Terlien MTJ, Soeters R (1997) Prediction of the occurrence of slope instability phenomena through GIS-based hazard zonation. Geol Rundsch 86:404–414
Varnes DJ (1978) Slope movement types and processes. Landslides: analysis and control. Transportation Research Board, National Academic Science, Washington Special Report, vol 176, pp 11–33
Zhou CH, Lee CF, Li J, Xu WW (2002) On the spatial relationship between landslides and causative factors on Lantau Island, Hong Kong. Geomorphology 43:197–207
Acknowledgments
The research in this paper has been partially supported by a doctoral grant from FICYT Fundation (Fundación para el Fomento en Asturias de la Investigación Científica Aplicada y la Tecnología) and by the Spanish Ministry of Education and Science Grant MTM2006-07501. Its financial support is gratefully acknowledged. We acknowledge Michel Jaboyedoff an other anonymous revisor for their suggestions and comments that have improved the paper.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Domínguez-Cuesta, M.J., Jiménez-Sánchez, M., Colubi, A. et al. Modelling shallow landslide susceptibility: a new approach in logistic regression by using favourability assessment. Int J Earth Sci (Geol Rundsch) 99, 661–674 (2010). https://doi.org/10.1007/s00531-008-0414-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00531-008-0414-0