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The Effect of Resolution on Scaling Relations and Concavity on Valley Networks on Mars

Valley networks have been observed on Mars since the Viking orbiter took photos in 19761980. They are interpreted as an erosional record of a warmer, wetter Mars then what currently exists. Scaling relationships have been used to evaluate terrestrial streams and can be used on Mars. Results from these relationships can provide insight into the mechanisms that formed the valley networks. These relationships, when compared to earth data are consistent with immature, precipitation fed valley networks. The range of values calculated may change based on quality of data used. The Mars Orbiter Laser Altimeter (MOLA) created a DEM of the entire planet of Mars at 128/pixel per degree or 460-meter resolution. In this study, this resolution (460-meter) is compared with the High-Resolution Stereo Camera (HRSC) derived DEM at 75 pixels/degree or 150-meter resolution. The results show a difference in the scaling exponents but within an acceptable range. However, when comparing data collected at the same location, measurements are show to be statistically different.