Fractal computations were performed by the USGS for a portion of the seafloor surface extracted from the Navassa Island digital elevation model using the Variation Method of Dubuc and others. (1989). Algorithm implementation details are presented in Zawada and Brock (2009). For this 881-m x 881-m region off the southwestern coast of Navassa, fractal dimensions were computed by moving a 440-m x 440-m window in 1-m increments across each row and down each column of the region. Results from the Variation Method and the corresponding fractal dimension for each transect are available in the netCDF file 2D_variation_results_SouthCoast.nc.
Dubuc, B., Zucker, S.W., Tricot, C., Quiniou, J.F., and Wehbi, D., 1989b, Evaluating the fractal dimension of surfaces: Proceedings of the Royal Society of London Series A--Mathematical Physical and Engineering Sciences, v. 425, no. 1868, p. 113-127. Zawada, D.G., and Brock, J.C., 2009, A multiscale analysis of coral reef topographic complexity using Lidar-derived bathymetry: Journal of Coastal Research, SI (53), p. 6-15. (Also available at
https://doi.org/10.2112/SI53-002.1)