1r.flow(1)                     Grass User's Manual                    r.flow(1)
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NAME

6       r.flow   -  Construction of slope curves (flowlines), flowpath lengths,
7       and flowline densities (upslope areas) from a raster digital  elevation
8       model (DEM)
9

KEYWORDS

11       raster
12

SYNOPSIS

14       r.flow
15       r.flow help
16       r.flow    [-u3m]    elevin=string     [aspin=string]     [barin=string]
17       [skip=integer]    [bound=integer]     [flout=string]     [lgout=string]
18       [dsout=string]   [--verbose]  [--quiet]
19
20   Flags:
21       -u
22           Compute upslope flowlines instead of default downhill flowlines
23
24       -3
25           3-D lengths instead of 2-D
26
27       -m
28           Use less memory, at a performance penalty
29
30       --verbose
31           Verbose module output
32
33       --quiet
34           Quiet module output
35
36   Parameters:
37       elevin=string
38           Input elevation raster map
39
40       aspin=string
41           Input aspect raster map
42
43       barin=string
44           Input barrier raster map
45
46       skip=integer
47           Number of cells between flowlines
48           Options: 1-360
49           Default: 7
50
51       bound=integer
52           Maximum number of segments per flowline
53           Options: 0-1609
54           Default: 1609
55
56       flout=string
57           Output flowline vector map
58
59       lgout=string
60           Output flowpath length raster map
61
62       dsout=string
63           Output flowline density raster map
64

DESCRIPTION

66       This   program  generates  flowlines  using  a  combined  raster-vector
67       approach (see Mitasova and Hofierka 1993 and  Mitasova  et  al.  1995))
68       from  an input elevation raster map elevin (integer or floating point),
69       and optionally an input aspect raster map aspin and/or an input barrier
70       raster  map  barin.  There  are three possible output maps which can be
71       produced in any combination simultaneously: a vector map flout of flow‐
72       lines,  a  raster map lgout of flowpath lengths, and a raster map dsout
73       of flowline densities (which are equal upslope  contributed  areas  per
74       unit width, when multiplied by resolution).
75
76       Aspect  used for input must follow the same rules as aspect computed in
77       other GRASS programs (see v.surf.rst or r.slope.aspect).
78
79       Flowline output is given in a vector map  flout,  (flowlines  generated
80       downhill).  The  line  segments  of  flowline vectors have endpoints on
81       edges of a grid formed by drawing imaginary lines through  the  centers
82       of  the  cells  in the elevation map. Flowlines are generated from each
83       cell downhill by default; they can be generated uphill using  the  flag
84       -u. A flowline stops if its next segment would reverse the direction of
85       flow (from up to down or vice-versa), cross a barrier, or arrive  at  a
86       cell  with  undefined  elevation  or  aspect. Another option, skip=val,
87       indicates that only the flowlines from every  val-th  cell  are  to  be
88       included  in flout.  The default skip is max(1, /50, /50).  A high skip
89       usually speeds up processing time and often improves the readability of
90       a visualization of flout.
91
92       Flowpath  length  output  is  given in a raster map lgout. The value in
93       each grid cell is the sum of the planar lengths of all segments of  the
94       flowline  generated  from that cell. If the flag -3 is given, elevation
95       is taken into account in calculating the length of each segment.
96
97       Flowline density downhill or uphill output is given  in  a  raster  map
98       dsout.  The  value  in  each grid cell is the number of flowlines which
99       pass through that grid cell, that means the number  of  flowlines  from
100       the entire map which have segment endpoints within that cell.  With the
101       -m flag less memory is used as aspect at each cell is computed  on  the
102       fly.  This  option incurs a severe performance penalty. If this flag is
103       given, the aspect input map (if any) will be ignored.  The barin param‐
104       eter is a raster map name with non-zero values representing barriers as
105       input.
106

NOTES

108       For best results, use input elevation maps with  high  precision  units
109       (e.g.,  centimeters)  so that flowlines do not terminate prematurely in
110       flat areas.  To prevent the creation of  tiny  flowline  segments  with
111       imperceivable  changes  in elevation, an endpoint which would land very
112       close to the center of a grid cell is quantized to the exact center  of
113       that  cell. The maximum distance between the intercepts along each axis
114       of a single diagonal segment and another segment of 1/2 degree  differ‐
115       ent  aspect  is  taken to be "very close" for that axis. Note that this
116       distance (the so-called "quantization error") is about 1-2% of the res‐
117       olution on maps with square cells.
118
119       The values in length maps computed using the -u flag represent the dis‐
120       tances from each cell to an upland flat or singular  point.  Such  dis‐
121       tances  are  useful in water erosion modeling for computation of the LS
122       factor in the standard form of USLE. Uphill flowlines  merge  on  ridge
123       lines;  by  redirecting  the order of the flowline points in the output
124       vector map, dispersed waterflow can be simulated. The density  map  can
125       be used for the extraction of ridge lines.
126
127       Computing  the flowlines downhill simulates the actual flow (also known
128       as the raindrop method). These flowlines tend to merge in valleys; they
129       can  be  used for localization of areas with waterflow accumulation and
130       for the extraction of channels. The downslope flowline  density  multi‐
131       plied  by the resolution can be used as an approximation of the upslope
132       contributing area per unit contour width. This area  is  a  measure  of
133       potential water flux for the steady state conditions and can be used in
134       the modeling of water erosion for the computation of  the  unit  stream
135       power based LS factor or sediment transport capacity.
136
137       The  program  has  been designed for modeling erosion on hillslopes and
138       has rather strict conditions for ending flowlines. It is therefore  not
139       very  suitable  for the extraction of stream networks or delineation of
140       watersheds unless a  DEM  without  pits  or  flat  areas  is  available
141       (r.fill.dir can be used to fill pits).
142
143        To  label the vector flowlines automatically, the user can use v.cate‐
144       gory (add categories).
145

Algorithm background

147       1. Construction of flow-lines (slope-lines): r.flow  uses  an  original
148       vector-grid  algorithm  which  uses  an  infinite  number of directions
149       between 0.0000... and 360.0000...  and traces the flow as a line  (vec‐
150       tor) in the direction of gradient (rather than from cell to cell in one
151       of the 8 directions = D-infinity algorithm). They  are  traced  in  any
152       direction  using  aspect  (so  there  is  no limitation to 8 directions
153       here). The D8 algorithm produces zig-zag lines. The value in the outlet
154       is  very similar for both r.flow and r.flowmd (GRASS 5 only) algorithms
155       (because it is essentially the watershed  area),  however  the  spatial
156       distribution  of  flow, especially on hillslopes is quite different. It
157       is still a 1D flow routing so the  dispersal  flow  is  not  accurately
158       described, but still better than D8.
159
160       2.  Computation  of contributing areas: r.flow uses a single flow algo‐
161       rithm, i.e. all flow is transported to a single cell downslope.
162

FURTHER NOTES

164       Differences between r.flow and r.flowmd
165
166       1
167               r.flow has an option to compute  slope  and  aspect  internally
168              thus making the program capable to process much larger data sets
169              than r.flowmd. It has also 2 additional options for handling  of
170              large data sets but it is not known that they work properly.
171
172       2
173               the  programs handle the special cases when the flowline passes
174              exactly (or very close) through the grid vertices differently.
175
176       3
177               r.flowmd has the  simplified  multiple  flow  addition  so  the
178              results are smoother.
179
180       In  conclusion,  r.flowmd  produces  nicer results but is slower and it
181       does not support as large data sets as r.flow.
182

DIAGNOSTICS

184       "ERROR: r.flow: " input  "  file's  resolution  differs  from  current"
185       region resolution
186
187       The resolutions of all input files and the current region must match.
188
189       "ERROR: r.flow: resolution too unbalanced (" val " x " val ")" The dif‐
190       ference in length between the two axes of a grid cell is so great  that
191       quantization  error  is larger than one of the dimensions. Resample the
192       map and try again.
193

SEE ALSO

195       r.basins.fill, r.drain, r.fill.dir, r.water.outlet, r.watershed, v.cat‐
196       egory, v.to.rast
197

AUTHORS

199       Original version of program:
200       Maros  Zlocha  and  Jaroslav Hofierka, Comenius University, Bratislava,
201       Slovakia,
202
203       The current version of the program (adapted for GRASS5.0):
204       Joshua Caplan, Mark Ruesink, Helena Mitasova, University of Illinois at
205       Urbana-Champaign with support from USA CERL.
206       GMSL/University of Illinois at Urbana-Champaign
207

REFERENCES

209       Mitasova,  H., L. Mitas, 1993, Interpolation by regularized spline with
210       tension : I. Theory and implementation.  Mathematical  Geology  25,  p.
211       641-655.  (online)
212
213       Mitasova  and  Hofierka 1993 : Interpolation by Regularized Spline with
214       Tension: II. Application to Terrain Modeling and Surface Geometry Anal‐
215       ysis.  Mathematical Geology 25(6), 657-669. (online)
216
217       Mitasova,  H.,  Mitas,  L.,  Brown, W.M., Gerdes, D.P., Kosinovsky, I.,
218       Baker, T., 1995: Modeling spatially and temporally distributed  phenom‐
219       ena: New methods and tools for GRASS GIS. International Journal of Geo‐
220       graphical Information Systems 9(4), 433-446.
221
222       Mitasova, H., J. Hofierka, M.  Zlocha,  L.R.  Iverson,  1996,  Modeling
223       topographic  potential for erosion and deposition using GIS. Int. Jour‐
224       nal of Geographical Information Science, 10(5), 629-641.  (reply  to  a
225       comment  to  this paper appears in 1997 in Int. Journal of Geographical
226       Information Science, Vol. 11, No. 6)
227
228       Mitasova, H.(1993): Surfaces and modeling. Grassclippings  (winter  and
229       spring) p.18-19.
230
231       Last changed: $Date: 2006-12-13 17:10:28 +0100 (Wed, 13 Dec 2006) $
232
233       Full index
234
235       © 2003-2008 GRASS Development Team
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239GRASS 6.3.0                                                          r.flow(1)
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