Based on the analytical solutions to the steady-state and linear transient-state forms of the model equation, researchers developed a set of open-source Matlab scripts, RiverProAnalysis, to integrate the functions of drainage basin concavity calibration, channel steepness estimate, drainage divide stability determination, paleo-channel profile projection, and tectonic uplift history inversion.

The products of the tool set are in the format of image, text, and vector files, which not only can be used for visual analysis, but also be read by geographic information system software.

To illustrate the ability of the tool set, the authors took examples of two transient drainage catchments in the northern margin of the Taiyuan Basin. They analyzed the long profiles of the trunk streams, identified two generations of knickpoints, and estimated the minimum depth of river incision.

They combined all the trunk and tributary channels together to model the catchment-wide uplift history and found moderate increases in the uplift rates since the Middle Pliocene and rapid acceleration since the late Quaternary.

The results were consistent with the sedimentary records in the adjacent basin. By comparing the chi value, slope, and topographic relief of both sides of the catchment divide, they concluded the stability of the drainage divide.