A digital flow direction grid mapping, spanning the North Slope of Alaska at 1 km spatial resolution, was derived from land surface elevations represented by Release 7 of the ArcticDEM (https://www.pgc.umn.edu/data/arcticdem/). The EASE-Grid 2.0 North (Brodzik et al., 2012), based on Lambert's equal-area azimuthal projection, was used as the gridding scheme. To create the grid mapping, elevations at 100 m were resolved to a "deterministic eight neighbors" (D8) flow direction raster (Jenson and Dominigue, 1988). A network scaling algorithm employed in ArcGIS/ArcHydro and R/Rstudio programs was then applied to produce the final 1 km mapping. Flow direction values range from 1 to 128, coded in increasing powers of two, starting from the positive x direction in the EASE Grid coordinate system and moving clockwise. River basin attributes and flow directions were assessed against the USGS National Hydrography Dataset (NHD). Numerical evaluations included comparisons of basin and sub-basin area measures with those from NHD. We also determined the Systematic Normalized Error (SNE; Fekete et al., 2001), defined as the percent of basin area difference from the NHD, relative to the maximum basin area of the digital flow direction grid mapping and NHD. Lastly, the Side-to-Corner (STC; Olivera et al., 2002) ratio was estimated. The STC is a measure of the "evenness" of flow length through the orthogonal and diagonal paths. For instance, given a 1 km resolution mapping, an even flow direction conveys the ratio of flow distance through sides (1000 m) to flow distance through corners (~1414.2135 m) that meets the 59:41 standard. Significant deviation from 59:41 indicates a lower quality mapping. Our analysis suggests that the new 1 km mapping exhibits notable similarity in basin area boundaries relative to the benchmark USGS National Hydrography Dataset network.
References
Brodzik, M. J., B. Billingsley, T. Haran, B. Raup, and M. H. Savoie. 2012. "EASE-Grid 2.0: Incremental but Significant Improvements for Earth-Gridded Data Sets." ISPRS Int. J. Geo-Inf. 1 (1): 32-45. https://doi.org/10.3390/ijgi1010032.
Fekete, B. M., C. J. Vörösmarty, and R. B. Lammers. 2001. "Scaling gridded river networks for macroscale hydrology: Development, analysis, and control of error." 37 (7): 1955-1967. https://doi.org/10.1029/2001WR900024.
Jenson, S. K., and J. O. Dominigue. 1988. "Extracting topographic structure from digital elevation data for Geographic Information System analysis." Photogramm. Eng. Remote Sens. 54: 1593–1600.
Olivera, F., Lear, M. S., Famiglietti, J. S. and Asante, K. 2002. "Extracting low-resolution river networks from high-resolution." Water Resour. Res. 38 (11): 1231. doi:10.1029/2001WR000726.