In view of criticisms leveled at the original derivation, an alternative approach based on well-defined Euclidean space concepts is used to derive Langbein's minimum variance hypothesis. Changes in stream behavior at a channel cross section are considered here. The main assumption of this alternative method is that the stream will approach or converge to a limit or quasi-equilibrium state through a sequence of channel adjustments. By arguing in Euclidean space terms, the minimum variance hypothesis is shown to be a special case of a more general problem, and I suggest that further development of the model should concentrate on this more general formulation.

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