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For the average terrain slope, St is the average terrain slope, ns is the number of subcatchment cells, and sti is the terrain slope at cell i (Garbrecht et al., 1999b).

The average travel distance slope, Equation 2.4, is the average of the slope from each point in the subcatchment to the next adjacent downstream channel.

Sc =

1 ns

ns

s

i =1

c i

Equation 2.4

Sc is the average travel distance slope, ns is the number of cells in the

subcatchment, and sci is the slope of the travel distance that starts at cell i.

The

travel distance slope of cell i is the mean of all the slopes along the travel distance

between subcatchment i and the adjacent channel

(Garbrecht et al., 1999b).

The average flow path slope, Equation 2.5, is the average slope of all the flow paths in the subcatchment, as defined as the route followed by the runoff starting at the divide and ending at the first adjacent downstream channel (Garbrecht et al., 1999b).

Sf =

1 nf

nf

s

i =1

f i

Equation 2.5

S f i s t h e a v e r a g e f l o w p a t h s l o p e , n f i s t h e n u m b e r o f f l o w p a t h s i n t h e s u b c a t c h m e n t , a n d s f i i s t h e f l o w p a t h s l o p e o f t h e f l o w p a t h s t a r t i n g a t c e l l i . T h e

22

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