Department of Water and Soil Conservation, National Chung Hsing University, Taichung, Taiwan

Department of Civil Engineering, National Taiwan University, Taipei, Taiwan

Socio-Economic System Division, National Science and Technology Center for Disaster Reduction, Taipei, Taiwan

Graduate Institute of Disaster Prevention on Hillslopes and Water Resources Engineering, National Pingtung University of Science and Technology, Pingtung, Taiwan

Department of Civil Engineering, National Taiwan University, Taipei, Taiwan