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. Numerical modelling offers a unique approach to understand howtectonics, climate and surface processes govern landscape dynamics. However,the efficiency and accuracy of current landscape evolution models remain acertain limitation. Here, I develop a new modelling strategy that relies onthe use of 1D analytical solutions to the linear stream power equation tocompute the dynamics of landscapes in 2D. This strategy uses the 1Dordering, by a directed acyclic graph, of model nodes based on theirlocation along the water flow path to propagate topographic changes in 2D.This analytical model can be used to compute in a single time step, with aniterative procedure, the steady-state topography of landscapes subjected toriver, colluvial and hillslope erosion. This model can also be adapted tocompute the dynamic evolution of landscapes under either heterogeneous ortime-variable uplift rate. This new model leads to slope–area relationships exactly consistent with predictions and to the exact preservation of knickpoint shape throughout their migration. Moreover, the absence of numerical diffusion or of an upper bound for the time step offers significant advantages compared to numerical models. The main drawback of this novel approach is that it does not guarantee the time continuity of the topography through successive time steps, despite practically having little impact on model behaviour.

Short communication: Analytical models for 2D landscape evolution