Title: SCHEDULE
 1SCHEDULE 
 2Discussion Problems
- Revisiting the take-home midterm 
- Zipping to move your project 
- make directory c/temp/yourname/flowacc 
- set working directory 
- save project there 
- do some work, then save  close ArcView 
- zip c/temp/yourname/ 
- move yourname.zip however you like 
- extract yourname.zip to c/temp/yourname/ 
- double click projectname.apr 
- This is your project, just as you left it.
3Discussion Problems
- Revisiting the take-home midterm 
- Revisable themes 
- look through the themes in the exam 
- Which theme can be revised? Which cant? 
- What do each group have in common? 
- Rewrite them so that they can be revised 
- Redo the exam assuming everything mature 
- Redo the exam assuming that everything burns 
- Map the mature/burned difference in WAR
4Discussion Problems
Map the stream network from the midterm dem.e00 
assuming that all cells with a contributing area 
of at least 100 cells is a stream cell. What is 
the area of 100 cells? Make stream networks with 
different contributing areas. Which one looks 
best? Make a grid of all stream headwaters (the 
first cell in each stream). 
 5Discussion Problems
Runoff from stands in the rain on snow zone is 
more sensitive to harvest. Streams that have much 
of their contributing area in the rain on snow 
zone must be similarly sensitive. If the 
rain-on-snow zone is 900-1200m, map the fraction 
of the contributing area of each stream reach 
that is in the rain on snow zone. 
 6Discussion Problems
We might want to put special restrictions on the 
rain on snow slopes above the most sensitive 
reaches. Identify the stream cells whose 
contributing area is mostly in the rain-on-snow 
zone Identify the rain-on-snow cells that 
contribute to these most sensitive stream 
reaches. 
 7Discussion Problems
Revisiting the road-side ditch problem By how 
much is the contributing area of each stream cell 
increased in shifting from natural downhill 
routing to roadside ditch interception? Does the 
resulting change look different if you use 
relative vs. absolute change? 
 8OUTLINE
- Flow Length 
- Addition 
- Multiplication
9FLOW LENGTHwater flows downhill, butdelivery 
decreases with distance
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aGrid.FlowLength (weightGrid, upStream) 
 10Flow Distance
- Filtering effects increase with distance
Probability(delivery)exp(17.76-D)/46.43 
 11FLOW LENGTH Addition
- Distance 
- Pdel(17.76-fd.FlowLength(nil, 
 false)/46.43).exp
- Time 
- flow_ratek(slope) 
- velocityflow_rate/porosity 
- time1/velocity 
12FLOW LENGTH Multiplicationsums of logs
 x1x2x3x4exp(log(x1x2x3x4)) exp(logx1logx2l
ogx3logx4) flowDir.flowlength(x.log,false).e
xp 
 13FLOW LENGTH Multiplication
Fractional delivery fraction xi of input Vi-1 is 
delivered to block i1 so if V1V0x1 and V2V1x2 
then V2V0x1x2 The delivery fraction can vary We 
can multiply these fractions together V0x1x2x3x4
exp(log(V0x1x2x3x4)) exp(logV0logx1logx2log
x3logx4) (V.logfd.flowlength(x.log,false)
).exp 
 14FLOW LENGTH Multiplication
- Probability of delivery to the next cell might 
 decrease with local slope and disturbance
fd.flowlength(f(slope,harvest).ln,false).exp 
 15Discussion Problems
Revisiting the road-side ditch question Water 
flows faster in ditches than through the soil. If 
you count the ditch segments that feed directly 
into streams as part of the stream network, then 
map the flow length to streams with and without 
road ditches. By how much is the average 
flowlength above a stream cell reduced by adding 
the roads? 
 16Practice Problem Identify FlowDirection for each 
cell (arrows are okay) 
 17Practice Problem Identify FlowAccumulation(nil) 
 18Practice Problem Identify streams as cells with 
gt10 contributing cells 
 19Practice Problem identify flow distance to 
streams