The aim of the present study is to introduce a probabilistic approach to determine the components of the risk evaluation for rainfall-induced earthflows in medium scale. The Catakli catchment area (Cayeli, Rize, Turkey) was selected as the application site of this study. The investigations were performed in four different stages: (i) evaluation of the conditioning factors, (ii) calculation of the probability of spatial occurrence, (iii) calculation of the probability of the temporal occurrence, and (iv) evaluation of the consequent risk. For the purpose, some basic concepts such as ââ?¬Å?Risk Cubeââ?¬Â, ââ?¬Å?Risk Planeââ?¬Â, and ââ?¬Å?Risk Vectorââ?¬Â were defined. Additionally, in order to assign the vulnerability to the terrain units being studied in medium scale, a new more robust and more objective equation was proposed. As a result, considering the concrete type of roads in the catchment area, the economic risks were estimated as \n3 . 6 Ã?â?? 1 0\n6\nââ??¬\nââ?¬â?in case the failures occur on the terrain units including element at risk, and \n1 2 . 3 Ã?â?? 1 0\n6\nââ??¬\nââ?¬â?in case the risks arise from surrounding terrain units. The risk assessments performed in medium scale considering the technique proposed in the present study will supply substantial economic contributions to the mitigation planning studies in the region.
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