jr andrade - I suspect that movement patterns will vary considerably depending on species, sex, time of year, habitat stability, and various other factors. There was a study by Mariano Cuadrado (Cuadrado, M. (2001). Mate guarding and social mating system in male common chameleons (Chamaeleo chamaeleon). J. Zool., Lond. 255, 425-435.) that mapped the home ranges/territories of male Common Chameleons (Chamaeleo chamaeleon) and measured daily movement patterns. In this study, they found that territory size ranged from 40-719 square meters (average of 244) and that daily movement in males ranged from 33 ± 15 meters/day (Average ± Standard Error) for what they classified as "non-guarding males" to 85 ± 25 meters/day for what they classified as "social polygynous males".
nicholas - I'm not aware of any data that suggests individuals are actively moving to higher and higher elevations each year due to climate change. There is a trend for many plant and animal species at the population level that range distribution is increasing in elevation in response to climate change but individual and population level behavior are very different. At a population level, much of the shift in distribution is related to survival and reproductive success resulting in shifts in the distribution over an elevation gradient.
Chris