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In this and an accompanying paper, we show that a relatively simple family of continuous models provides a satisfactory, albeit elementary, theory of the evolution of fluvial landscapes in terms of (1) the emergence of channelized flows; (2) the development of stable surfaces with ridges and valleys; (3) the decline of the surfaces; (4) relationships between surface forms and surface flows; and (5)...
Numerical solutions to a recently-introduced family of continuous models provide realistic representations of the evolution of fluvial landscapes. The simplest subfamily of the models offers a characterization of the evolution of badlands as a process involving (1) a first, transient stage in which branching valleys emerge from unchanneled surfaces; (2) a second, equilibrium stage in which...
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