Topologic Navigation and the Pfafstetter System
by Jordan Ernest Furnans, MSE and David R. Maidment, PhD
ABSTRACT
This thesis explores the spatial structure of drainage area connectivity. In particular, it describes a new method for tracing water movement from one drainage area to the next through the landscape. This method, named Topologic Navigation, is applicable on drainage area datasets whose entries each have as attributes a unique ID code and the ID code of the area immediately downstream. From this information, the areas immediately upstream of each area in the dataset are discernible. With knowledge of this connectivity, it is possible to derive the entire upstream and downstream drainage areas of a single area in the landscape.
Downstream area IDs may be determined automatically for datasets attributed with Pfafstetter-based codes. These codes are assigned to drainage areas based on the relative drainage topology of the areas. A detailed methodology for determining downstream IDs using Pfafstetter-based numbering systems is developed. Use of the downstream IDs in performing Topologic Navigations is also demonstrated and discussed. Extensive modifications to the existing Pfafstetter-based numbering systems are also suggested.
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