In cycling, hiking, mountaineering and running, the term cumulative elevation gain (or cumulative gain) is the total of every gain in elevation made throughout a journey. Elevation losses (i.e. periods when the person is descending) are not counted or offset against this measure. Cumulative elevation gain, and the total distance of the journey, are two key metrics used to quantify the physical demands of a journey.
Now take the case of a journey where a climber travels across several summits with more "ups-and-downs". For example, consider two mountains whose summits are both at in elevation, and between them is a low point at an elevation of . If a climber starts their journey at an elevation of , their CAG is by the time they reach the first summit (i.e. 5,000 ft less 1,000 ft). They then drop down to the low point between the summits and have to gain another to get to the top of the second summit. On the second summit, the climber has a CAG of (i.e 4,000 ft plus another 3,000 ft). To return home, they have to drop back down to the low point at and then gain another to get back to the first summit. Now they have a CAG of (i.e 4,000 ft plus 3,000 ft plus another 3,000 ft). In descending from the first summit to return to their start they don't have to make any other gains in elevation (i.e. it is just continuously down), and their total CAG for the journey stays at .
CAG captures the effect that travels on terrain with a lot of "ups-and-downs" that will result in a lot of vertical climbing.
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