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Tobler's hiking function
Formula for estimating hiking speed From Wikipedia, the free encyclopedia
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Tobler's hiking function is an exponential function determining the hiking speed, taking into account the slope angle.[1][2][3] It was formulated by Waldo Tobler. This function was estimated from empirical data of the Swiss cartography professor Eduard Imhof.[4]

Formula
Summarize
Perspective
Walking velocity:
where
- W = walking velocity [km/h][2]
- dh = elevation difference,
- dx = distance,
- S = slope,
- θ = angle of slope (inclination).
The velocity on the flat terrain is 5 km / h, the maximum speed of 6 km / h is achieved roughly at -2.86°.[5]
On flat terrain this formula works out to 5 km/h. For off-path travel, this value should be multiplied by 3/5, for horseback by 5/4.[1]
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Pace
Pace is the reciprocal of speed.[6][7] For Tobler's hiking function it can be calculated from the following conversion:[7]
where
- p = pace [s/m]
- m = gradient uphill or downhill (dh/dx = S in Tobler's formula),
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Sample values

See also
References
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