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- W2142478791 abstract "Based on the optimality principle (that the global energy expenditure rate is at its minimum for a given landscape under steady state conditions) and calculus of variations, we have derived a group of partial differential equations for describing steady-state optimal landscapes without explicitly distinguishing between hillslopes and channel networks. Other than building on the well-established Mining's equation, this work does not rely on any empirical relationships (such as those relating hydraulic parameters to local slopes). Using additional constraints, we also theoretically demonstrate that steady-state water depth is a power function of local slope, which is consistent with field data." @default.
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- W2142478791 date "2011-05-01" @default.
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- W2142478791 title "A note on equations for steady-state optimal landscapes" @default.
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- W2142478791 doi "https://doi.org/10.1029/2011gl047619" @default.
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