Tobler's hiking function is an exponential function determining the hiking speed, taking into account the slope angle.
This function was estimated from empirical data of Eduard Imhof.
[4] Walking velocity: where The velocity on the flat terrain is 5 km / h, the maximum speed of 6 km / h is achieved roughly at -2.86°.
For off-path travel, this value should be multiplied by 3/5, for horseback by 5/4.
[6][7] For Tobler's hiking function it can be calculated from the following conversion:[7] where