1. 1) 北海道開発局，寒地土木研究所：岩盤河床における河床低下危険度評価の手引き（案），2017．[Hokkaido Regional Development Bureau., Civil Engineering Research Institute for Cold Region.: Guidance for assessing the risk of bedrock deterioration in bedrock riverbeds (draft), 2017.]
2. 2) Chatanantavet, P., and Parker, G.：Physically based modeling of bedrock incision by abrasion, plucking, and macroabrasion, J. Geophys. Res., 114, F04018, 2009.
3. 3) 松本勝治，田代隆志，根本深：石狩川上流における河床低下について，第52回北海道開発技術研究発表会資料，2008．[Matsumoto, S., Tashiro, T., Nemoto, S.:Deterioration of the river bed upstream of the Ishikari River. Hokkaido developmenttechnologyresearch presentation materials, vol. 52, 2008.]
4. 4) Kristen L. Cook, Jens M. Turouski, Niels Hovius. : A demonstration of importance ofccc bedload transport for fluvial bedrock erosion and knickpoint propagation, Earth Surface Processes and Landforms, 2012
5. 5) Bressan, F., Papanicolaou, A. N., and Abban, B. : A Model for Knickpoint Migration in First- and Second-order Streams, Geophysical Research Letters, 41, 4987–4996, 2014.