A “Ridge-Drainage Index” (RDI) is introduced that characterizes landform represented by digital elevation models on a continuum that ranges between ridge crests and summits at one end of its scale to pits, depressions, and drainages on the other. Intermediate outcomes signify ridge flanks, hillsides, or plains-like settings. The RDI quantifies terrain “openness,” but unlike indices similar to the “Sky View Factor” (SVF) which measure vertical angles open to the sky, it does so in the horizontal plane by calculating angles encompassing all lower elevations within a local neighborhood in a raster data structure. Consequently, the RDI describes a dimension of terrain form unlike those yielded by other common filters applied to digital elevation data. The RDI is scale sensitive, with results determined by raster cell size. At a regional scale with low spatial resolutions (e.g., 10-100 m) the RDI is well suited for geomorphological insights about landform through its ability to delineate drainage courses, depressions, ridgelines, and prominences. At the scale of human settlements, with moderately high spatial resolutions (e.g., 0.5-2 m), it can delineate anthropogenic variations in landform where low angles point to such negative features as small pits, trails, ditches, or depressions associated with sunken constructions, to such positive protuberances as small mounds, raised berms, standing stones, or architecture. Yet, high resolution terrain data can exhibit much noise when viewed in the RDI continuum because small height variations caused by hummocky ground, rodent activity, minor erosion, clumps of grass, or other small-scale processes, can be highlighted by the algorithm and introduce noise that detracts from the outcome. Although several procedures may be employed to mitigate such noise, low-pass smoothing filters that generalize terrain appear most effective. Case studies at two prehistoric Middle Missouri River settlements in North Dakota and at Pueblo Bonito, a standing architectural ruin in New Mexico, illustrate its benefits for the visualization of anthropogenic elements using elevation data acquired from a variety of sources, including airborne laser scanning, structure from motion photogrammetry applied to unmanned aerial vehicle imagery, and robotic total stations. A final case study at a prehistoric agricultural field complex in Arizona examines the RDI as a quantitative landform index in a spatial analysis of archaeological location.
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