Abstract
The Longitudinal profiles of bed elevation, the mean diameter of bed materials, the width of channel and the depth of flow in alluvial rivers were analysed theoretically. In order to close the system of equations the concept that the bed shear stress remain constant in the longitudinal direction was introduced, This was derived in the analysis for the stable cross sectional shape of channels.
The results of theoretical analysis were tested with the data of rivers in Hokkaido. The longitudinal profiles in rivers in Hokkaido fit to the theoretical one relatively well.