“…This discrepancy between empirical and theoretical results has motivated investigations of higher-thanexpected solar luminosity, obliquity variations, more effective greenhouse gases, carbon dioxide clouds, albedo differences, and release of volatiles by impacts or volcanism as possible ways of warming the planet (e.g., Baker et al, 1991;Whitmire et al, 1995;Sagan and Chyba, 1997;Segura et al, 2002;Colaprete and Toon, 2003;Segura et al, 2008Segura et al, , 2012Mischna et al, 2013;Ramirez et al, 2014). Other investigators have examined ways to erode valleys under cold conditions, including ice flow, stream flow under an ice cover, or generation of meltwater by surface (impact ejecta) or subsurface (geothermal) heat sources (e.g., Wallace and Sagan, 1979;Carr, 1983;Brakenridge et al, 1985;Wilhelms and Baldwin, 1989;Brakenridge, 1990;Gulick and Baker, 1990;Carr, 1995;Goldspiel and Squyres, 2000;Harrison and Grimm, 2002;Carr and Head, 2003;Mangold et al, 2012a). Quantitative constraints on the Martian paleoclimate based on landform morphometry would have considerable value in guiding these modeling efforts.…”