Adenozil-chloride synthase

Tobler's hiking function - walking speed vs. slope angle chart.

Tobler's hiking function is an exponential function determining the hiking speed, taking into account the slope angle. It was formulated by Waldo Tobler.

Formula

Walking velocity:

$W=6e^{-3.5|\frac{dh}{dx}+0.05|}$

$\frac{dh}{dx}=S=\tan \mathrm{\Theta }$

where

dh = elevation difference,

dx = distance,

S = slope,

Θ = angle of slope (inclination).

On flat terrain this formula works out to 5 km/h. For off-path travel should be multiplied by 3/5, for horseback by 5/4.

References

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See also

• Naismith's rule
• Preferred walking speed

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