Berti, M., Martina, M. L. V., Franceschini, S., Pignone, S., Simoni, A., and Pizziolo, M.: Probabilistic rainfall thresholds for landslide occurrence using a Bayesian approach, J. Geophys. Res., 117, F04006, https://doi.org/10.1029/2012JF002367, 2012.
Berti, M., Bernard, M., Gregoretti, C., and Simoni, A.: Physical Interpretation of Rainfall Thresholds for Runoff-Generated Debris Flows, J. Geophys. Res.-Earth Surf., 125, https://doi.org/10.1029/2019JF005513, 2020.
Bishop, C. M.: Fisher's linear discriminant, in: Pattern Recognition and Machine Learning, Springer, New York, NY, USA, ISBN 9780387310732, 186–189, 2006.
Brunetti, M. T., Peruccacci, S., Rossi, M., Luciani, S., Valigi, D., and Guzzetti, F.: Rainfall thresholds for the possible occurrence of landslides in Italy, Nat. Hazards Earth Syst. Sci., 10, 447–458, https://doi.org/10.5194/nhess-10-447-2010, 2010.
Cannon, S. H., Gartner, J. E., Wilson, R. C., Bowers, J. C., and Laber, J. L.: Storm rainfall conditions for floods and debris flows from recently burned areas in southwestern Colorado and southern California, Geomorphology, 96, 250–269, https://doi.org/10.1016/j.geomorph.2007.03.019, 2008.
Ceriani, M., Lauzi S., Padovan N.: Rainfall thresholds triggering debris flows in the alpine area of Lombardia Region, Central Alps – Italy, in: Proceedings of Man and Mountain '94, First International Congress for the Protection and Development of Mountain Environment, Ponte di Legno (BS), Italy, 20–24 June 1994, 123–139, 1994.
Coe, J. A., Kinner, D. A., and Godt, J. W.: Initiation conditions for debris flows generated by runoff at Chalk Cliffs, central Colorado, Geomorphology, 96, 270–297, https://doi.org/10.1016/j.geomorph.2007.03.017, 2008.
Crosta, G. B. and Frattini, P.: Distributed modelling of shallow landslides triggered by intense rainfall, Nat. Hazards Earth Syst. Sci., 3, 81–93, https://doi.org/10.5194/nhess-3-81-2003, 2003.
Deganutti, M. A., Marchi, L., and Arattano, M.: Rainfall and debris-flow occurrence in the Moscardo basin (Italian Alps), in: Debris-Flow Hazard Mitigation: Mechanics, Prediction, and Assessment, edited by: Wieczorek, G. F. and Naeser, N. D., Balkema, Rotterdam, ISBN 905809149X, 67–72, 2000.
DiGOS Potsdam GmbH: DATA-
CUBE3: User Manual, Version 2020-05, DiGOS Potsdam GmbH, Potsdam, Germany, 24 pp.,
https://digos.eu/wp-content/uploads/2020/07/DATA-CUBE-User-Manual-2020-05.pdf (last access: 28 June 2025), 2020.
Dunkerley, D.: Identifying individual rain events from pluviograph records: a review with analysis of data from an Australian dryland site, Hydrol. Process., 22, 5024–5036, https://doi.org/10.1002/hyp.7122, 2008.
Fisher, R. A.: The use of multiple measurements in taxonomic problems, Annals of Eugenics, 7, 179–188, https://doi.org/10.1111/j.1469-1809.1936.tb02137.x, 1936.
Francq, B. G. and Govaerts, B. B.: Measurement methods comparison with errors-in-variables regressions. From horizontal to vertical OLS regression, review and new perspectives, Chemometrics and Intelligent Laboratory Systems, 134, 123–139, https://doi.org/10.1016/j.chemolab.2014.03.006, 2014.
Gariano, S. L., Brunetti, M. T., Iovine, G., Melillo, M., Peruccacci, S., Terranova, O., Vennari, C., and Guzzetti, F.: Calibration and validation of rainfall thresholds for shallow landslide forecasting in Sicily, southern Italy, Geomorphology, 228, 653–665, https://doi.org/10.1016/j.geomorph.2014.10.019, 2015.
Gariano, S. L., Melillo, M., Peruccacci, S., and Brunetti, M. T.: How much does the rainfall temporal resolution affect rainfall thresholds for landslide triggering?, Nat. Hazards, 100, 655–670, https://doi.org/10.1007/s11069-019-03830-x, 2020.
Gregoretti, C. and Dalla Fontana, G.: The triggering of debris flow due to channel-bed failure in some alpine headwater basins of the Dolomites: analyses of critical runoff, Hydrol. Process., 22, 2248–2263, https://doi.org/10.1002/hyp.6821, 2008.
Gregoretti, C., Degetto, M., Bernard, M., Crucil, G., Pimazzoni, A., De Vido, G., Berti, M., Simoni, A., and Lanzoni, S.: Runoff of small rocky headwater catchments: Field observations and hydrological modeling, Water Resour. Res., 52, 8138–8158, https://doi.org/10.1002/2016WR018675, 2016.
Guzzetti, F., Stark, C. P., and Salvati, P.: Evaluation of Flood and Landslide Risk to the Population of Italy, Environ. Manage., 36, 15–36, https://doi.org/10.1007/s00267-003-0257-1, 2005.
Hilker, N., Badoux, A., and Hegg, C.: The Swiss flood and landslide damage database 1972–2007, Nat. Hazards Earth Syst. Sci., 9, 913–925, https://doi.org/10.5194/nhess-9-913-2009, 2009.
Hirschberg, J., Badoux, A., McArdell, B. W., Leonarduzzi, E., and Molnar, P.: Evaluating methods for debris-flow prediction based on rainfall in an Alpine catchment, Nat. Hazards Earth Syst. Sci., 21, 2773–2789, https://doi.org/10.5194/nhess-21-2773-2021, 2021.
Hoch, O. J., McGuire, L. A., Youberg, A. M., and Rengers, F. K.: Hydrogeomorphic recovery and temporal changes in rainfall thresholds for debris flows following wildfire, J. Geophys. Res.-Earth Surf., 126, e2021JF006374, https://doi.org/10.1029/2021JF006374, 2021.
ISPRA: Geological Map of Italy
1:50 000, Sheet 057 “Malonno”, Istituto Superiore per la Protezione e la Ricerca Ambientale, https://doi.org/10.15161/OAR.IT/211479, 2012.
Iverson, R. M.: The physics of debris flows, Rev. Geophys., 35, 245–296, https://doi.org/10.1029/97RG00426, 1997.
Iverson, R. M.: Landslide triggering by rain infiltration, Water Resour. Res., 36, 1897–1910, https://doi.org/10.1029/2000WR900090, 2000.
Jakob, M. and Hungr, O. (Eds.): Debris-Flow Hazards and Related Phenomena, Springer Praxis Books, Springer, Berlin, https://doi.org/10.1007/b138657, 2005.
Kirpich, Z. P.: Time of concentration of small agricultural watersheds, Civ. Eng., 10, 362, 1940.
Marra, F.: Rainfall thresholds for landslide occurrence: systematic underestimation using coarse temporal resolution data, Nat. Hazards, 95, 883–890, https://doi.org/10.1007/s11069-018-3508-4, 2019.
Marra, F., Nikolopoulos, E. I., Creutin, J. D., and Borga, M.: Radar rainfall estimation for the identification
of debris-flow occurrence thresholds, J. Hydrol., 519, 1607–1619, https://doi.org/10.1016/j.jhydrol.2014.09.039, 2014.
Marra, F., Nikolopoulos, E. I., Creutin, J. D., and Borga, M.: Space–time organization of debris flows-triggering rainfall and its effect on the identification of the rainfall threshold relationship, J. Hydrol., 541, 246–255, https://doi.org/10.1016/j.jhydrol.2015.10.010, 2016.
Martelloni, G., Segoni, S., Fanti, R., and Catani, F.: Rainfall thresholds for the forecasting of landslide occurrence at regional scale, Landslides, 9, 485–495, https://doi.org/10.1007/s10346-011-0308-2, 2012.
Melchiorre, C. and Frattini, P.: Modelling probability of rainfall-induced shallow landslides in a changing climate, Otta, Central Norway, Climatic Change, 113, 413–436, https://doi.org/10.1007/s10584-011-0325-0, 2012.
Melillo, M., Brunetti, M. T., Peruccacci, S., Gariano, S. L., and Guzzetti, F.: An algorithm for the objective reconstruction of rainfall events responsible for landslides, Landslides, 12, 311–320, https://doi.org/10.1007/s10346-014-0471-3, 2015.
Montgomery, D. R. and Dietrich, W. E.: A physically based model for the topographic control on shallow landsliding, Water Resour. Res., 30, 1153–1171, https://doi.org/10.1029/93WR02979, 1994.
Nikolopoulos, E. I., Crema, S., Marchi, L., Marra, F., Guzzetti, F., and Borga, M.: Impact of uncertainty in rainfall estimation on the identification of rainfall thresholds for debris flow occurrence, Geomorphology, 221, 286–297, https://doi.org/10.1016/j.geomorph.2014.06.015, 2014.
Pan, H.-L., Jiang, Y.-J., Wang, J., and Ou, G.-Q.: Rainfall threshold calculation for debris flow early warning in areas with scarcity of data, Nat. Hazards Earth Syst. Sci., 18, 1395–1409, https://doi.org/10.5194/nhess-18-1395-2018, 2018.
Papa, M. N., Medina, V., Ciervo, F., and Bateman, A.: Derivation of critical rainfall thresholds for shallow landslides as a tool for debris flow early warning systems, Hydrol. Earth Syst. Sci., 17, 4095–4107, https://doi.org/10.5194/hess-17-4095-2013, 2013.
Postance, B., Hillier, J., Dijkstra, T., and Dixon, N.: Comparing threshold definition techniques for rainfall-induced landslides: A national assessment using radar rainfall, Earth Surf. Proc. Land., 43, 553–560, https://doi.org/10.1002/esp.4202, 2018.
Ramos-Cañón, A. M., Prada-Sarmiento, L. F., Trujillo-Vela, M. G., Macías, J. P., and Santos-R, A. C.: Linear discriminant analysis to describe the relationship between rainfall and landslides in Bogotá, Colombia, Landslides, 13, 671–681, https://doi.org/10.1007/s10346-015-0593-2, 2016.
Schimmel, A., Hübl, J., McArdell, B. W., and Walter, F.: Automatic Identification of Alpine Mass Movements by a Combination of Seismic and Infrasound Sensors, Sensors, 18, 1658, https://doi.org/10.3390/s18051658, 2018.
Simoni, A., Bernard, M., Berti, M., Boreggio, M., Lanzoni, S., Stancanelli, L. M., and Gregoretti, C.: Runoff-generated debris flows: Observation of initiation conditions and erosion–deposition dynamics along the channel at Cancia (eastern Italian Alps), Earth Surf. Proc. Land., 45, 3556–3571, https://doi.org/10.1002/esp.4981, 2020.
Staley, D. M., Gartner, J. E., and Kean, J. W.: Objective definition of rainfall intensity–duration thresholds for post-fire flash floods and debris flows in the area burned by the Waldo Canyon Fire, Colorado, USA, in: Engineering Geology for Society and Territory – Volume 2, edited by: Lollino, G., Giordan, D., Crosta, G. B., Corominas, J., Azzam, R., Wasowski, J., and Sciarra, N., Springer International Publishing, Cham, Switzerland, 621–624, https://doi.org/10.1007/978-3-319-09057-3_103, 2015.
Wei, Z. L., Shang, Y. Q., Liang, Q. H., and Xia, X. L.: A coupled hydrological and hydrodynamic modeling approach for estimating rainfall thresholds of debris-flow occurrence, Nat. Hazards Earth Syst. Sci., 24, 3357–3379, https://doi.org/10.5194/nhess-24-3357-2024, 2024.
