Kr. Helmlinger et al., ON THE USE OF DIGITAL ELEVATION MODEL DATA FOR HORTONIAN AND FRACTAL ANALYSES OF CHANNEL NETWORKS, Water resources research, 29(8), 1993, pp. 2599-2613
A common method of channel network extraction from digital elevation m
odel (DEM) data is based on specification of a threshold area A(th), t
hat is, the minimum support area required to drain to a point for a ch
annel to form. Current efforts to predict A(th) from DEM data are inco
nclusive, and usually an arbitrary constant A(th) value is chosen for
channel network extraction. In this paper, we study the effects of thr
eshold area selection on the morphometric properties (such as drainage
density, length of drainage paths, and external and internal links) a
nd scaling properties (such as Horton's laws and fractal dimension) of
a channel network. We also study the related problem of DEM data reso
lution and its effect on estimation of scaling properties. The results
indicate that morphometric properties vary considerably with A(th), a
nd thus values reported without their associated A(th) are meaningless
and should be used in hydrologic analysis with caution. Also, the ''c
ompleteness'' of a channel network (in terms of having the outlet stre
am flowing directly into a higher-order stream) is found to depend on
A(th) in a random unpredictable way. Even if only the complete channel
networks are used in the analysis, the statistical variability of sca
ling properties estimates due to A(th) selection is significant and ca
n be of comparable size to the variability due to DEM resolution and v
ariability between estimates of different river networks. Our analysis
highlights the need to carefully study the problem of network source
representation or channel initiation scale from DEMs which will point
to an appropriate A(th) for channel network extraction and estimation
of morphometric properties.