Abstract
A mathematical model of slope development based on the combined effects of the subduing and recessional coefficients is reliable when viewed with regard to the characteristics of the graded form that is derived from it. The coefficients express the net effects of wash, creep, and weathering which play an important role in slope development. A series of developmental processes of interfluvial slopes is simulated, on the basis of the model with the boundary condition corresponding to river-bed elevation. The results show that the slope development is separated into the following three phases: (1) an irreversible process, in which an equilibrium state tends to be established, (2) a steady (equilibrium) state, in which a graded (time-independent) form is maintained; and (3) an irreversible process, in which the equilibrium state and the graded form are destroyed and the slope is worn down to a final peneplanation stage.
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