1r.watershed(1)              GRASS GIS User's Manual             r.watershed(1)
2
3
4

NAME

6       r.watershed  - Calculates hydrological parameters and RUSLE factors.
7

KEYWORDS

9       raster,  hydrology,  watershed, accumulation, drainage, stream network,
10       stream power index, topographic index
11

SYNOPSIS

13       r.watershed
14       r.watershed --help
15       r.watershed [-s4mab]  elevation=name   [depression=name]    [flow=name]
16       [disturbed_land=name]    [blocking=name]    [retention=name]   [thresh‐
17       old=integer]        [max_slope_length=float]        [accumulation=name]
18       [tci=name]        [spi=name]        [drainage=name]        [basin=name]
19       [stream=name]   [half_basin=name]   [length_slope=name]   [slope_steep‐
20       ness=name]    [convergence=integer]    [memory=memory in MB]   [--over‐
21       write]  [--help]  [--verbose]  [--quiet]  [--ui]
22
23   Flags:
24       -s
25           SFD (D8) flow (default is MFD)
26           SFD: single flow direction, MFD: multiple flow direction
27
28       -4
29           Allow only horizontal and vertical flow of water
30
31       -m
32           Enable disk swap memory option: Operation is slow
33           Only needed if memory requirements exceed available RAM; see manual
34           on how to calculate memory requirements
35
36       -a
37           Use positive flow accumulation even for likely underestimates
38           See manual for a detailed description of flow accumulation output
39
40       -b
41           Beautify flat areas
42           Flow direction in flat areas is modified to look prettier
43
44       --overwrite
45           Allow output files to overwrite existing files
46
47       --help
48           Print usage summary
49
50       --verbose
51           Verbose module output
52
53       --quiet
54           Quiet module output
55
56       --ui
57           Force launching GUI dialog
58
59   Parameters:
60       elevation=name [required]
61           Name of input elevation raster map
62
63       depression=name
64           Name of input depressions raster map
65           All non-NULL and non-zero cells are considered as real depressions
66
67       flow=name
68           Name of input raster representing amount of overland flow per cell
69
70       disturbed_land=name
71           Name of input raster map percent of disturbed land
72           For USLE
73
74       blocking=name
75           Name of input raster map blocking overland surface flow
76           For  USLE. All non-NULL and non-zero cells are considered as block‐
77           ing terrain.
78
79       retention=name
80           Name of input raster map with percentages for flow accumulation.
81
82       threshold=integer
83           Minimum size of exterior watershed basin
84
85       max_slope_length=float
86           Maximum length of surface flow in map units
87           For USLE
88
89       accumulation=name
90           Name for output accumulation raster map
91           Number of cells that drain through each cell
92
93       tci=name
94           Name for output topographic index ln(a / tan(b)) map
95
96       spi=name
97           Name for output stream power index a * tan(b)
98           Name for output raster map
99
100       drainage=name
101           Name for output drainage direction raster map
102           Directions numbered from 1 to 8
103
104       basin=name
105           Name for output basins raster map
106
107       stream=name
108           Name for output stream segments raster map
109
110       half_basin=name
111           Name for output half basins raster map
112           Each half-basin is given a unique value
113
114       length_slope=name
115           Name for output slope length raster map
116           Slope length and steepness (LS) factor for USLE
117
118       slope_steepness=name
119           Name for output slope steepness raster map
120           Slope steepness (S) factor for USLE
121
122       convergence=integer
123           Convergence factor for MFD (1-10)
124           1 = most diverging flow, 10 = most converging flow. Recommended: 5
125           Default: 5
126
127       memory=memory in MB
128           Maximum memory to be used (in MB)
129           Cache size for raster rows
130           Default: 300
131

DESCRIPTION

133       r.watershed generates a set of maps indicating: 1)  flow  accumulation,
134       drainage  direction,  the location of streams and watershed basins, and
135       2) the LS and S factors of the Revised  Universal  Soil  Loss  Equation
136       (RUSLE).
137

NOTES

139       Without flag -m set, the entire analysis is run in memory maintained by
140       the operating system. This can be limiting, but is very  fast.  Setting
141       this flag causes the program to manage memory on disk which allows very
142       large maps to be processed but is slower.
143
144       Flag -s force the module to use single flow direction (SFD, D8) instead
145       of multiple flow direction (MFD). MFD is enabled by default.
146
147       By  -4  flag the user allow only horizontal and vertical flow of water.
148       Stream and slope lengths are approximately the  same  as  outputs  from
149       default surface flow (allows horizontal, vertical, and diagonal flow of
150       water).  This flag will also make the drainage basins look more homoge‐
151       neous.
152
153       When  -a  flag is specified the module will use positive flow accumula‐
154       tion even for likely underestimates. When this flag is not  set,  cells
155       with  a  flow  accumulation value that is likely to be an underestimate
156       are converted to the negative. See below for a detailed description  of
157       flow accumulation output.
158
159       Option  convergence  specifies convergence factor for MFD. Lower values
160       result in higher divergence, flow is more  widely  distributed.  Higher
161       values  result  in higher convergence, flow is less widely distributed,
162       becoming more similar to SFD.
163
164       Option elevation specifies the elevation data on which entire  analysis
165       is based. NULL (nodata) cells are ignored, zero and negative values are
166       valid elevation data.  Gaps in  the  elevation  map  that  are  located
167       within  the  area  of  interest  must  be  filled beforehand, e.g. with
168       r.fillnulls, to avoid distortions.   The  elevation  map  need  not  be
169       sink-filled because the module uses a least-cost algorithm.
170
171       Option  depression  specifies the optional map of actual depressions or
172       sinkholes in the landscape that are large enough to slow and store sur‐
173       face  runoff  from  a storm event.  All cells that are not NULL and not
174       zero indicate depressions. Water will flow into but not out of  depres‐
175       sions.
176
177       Raster  flow  map specifies amount of overland flow per cell.  This map
178       indicates the amount of overland flow units that each  cell  will  con‐
179       tribute to the watershed basin model. Overland flow units represent the
180       amount of overland flow each cell contributes to surface flow. If omit‐
181       ted, a value of one (1) is assumed.
182
183       Raster  retention  map  specifies  correction factors per cell for flow
184       distribution. This map indicates the percentage of overland flow  units
185       leaving each cell. Values should be between zero and 100. If omitted, a
186       value of 100 is assumed.
187
188       Input Raster map or value containing  the  percent  of  disturbed  land
189       (i.e.,  croplands,  and  construction  sites) where the raster or input
190       value of 17 equals 17%.  If no  map  or  value  is  given,  r.watershed
191       assumes  no  disturbed  land. This input is used for the RUSLE calcula‐
192       tions.
193
194       Option blocking specifies terrain  that  will  block  overland  surface
195       flow.  Blocking  cells and streams stop the slope length for the RUSLE.
196       All cells that are not NULL and not zero indicate blocking terrain.
197
198       Option threshold specifies the minimum size of  an  exterior  watershed
199       basin  in cells, if no flow map is input, or overland flow units when a
200       flow map is given.  Warning: low threshold  values  will  dramactically
201       increase  run  time and generate difficult to read basin and half_basin
202       results.  This parameter also controls  the  level  of  detail  in  the
203       stream segments map.
204
205       Value  given by max_slope_length option indicates the maximum length of
206       overland surface flow in meters. If overland flow travels greater  than
207       the  maximum length, the program assumes the maximum length (it assumes
208       that landscape characteristics not discernible in the digital elevation
209       model  exist  that  maximize the slope length).  This input is used for
210       the RUSLE calculations and is a sensitive parameter.
211
212       Output accumulation map contains the absolute value of  the  amount  of
213       overland  flow  that traverses each cell. This value will be the number
214       of upland cells plus one if no overland flow  map  is  given.   If  the
215       overland  flow  map is given, the value will be in overland flow units.
216       Negative numbers indicate that those cells possibly have surface runoff
217       from  outside  of  the  current geographic region. Thus, any cells with
218       negative values cannot have  their  surface  runoff  and  sedimentation
219       yields calculated accurately.
220
221       Output tci raster map contains topographic index TCI, computed as ln(α
222       / tan(β)) where α is the cumulative upslope area draining  through  a
223       point per unit contour length and tan(β) is the local slope angle. The
224       TCI reflects the tendency of water to accumulate at any  point  in  the
225       catchment  and the tendency for gravitational forces to move that water
226       downslope (Quinn et al. 1991).  This value will be  negative  if  α  /
227       tan(β) < 1.
228
229       Output spi raster map contains stream power index SPI, computed as α *
230       tan(β) where α is the cumulative  upslope  area  draining  through  a
231       point per unit contour length and tan(β) is the local slope angle. The
232       SPI reflects the power of water flow at any point in the catchment  and
233       the  tendency  for  gravitational  forces  to move that water downslope
234       (Moore et al. 1991).  This value will be negative if α < 0,  i.e.  for
235       cells  with  possible  surface  runoff from outside of the current geo‐
236       graphic region.
237
238       Output drainage raster map contains drainage direction.   Provides  the
239       "aspect" for each cell measured CCW from East.
240       Figure:  Drainage  is  8 directions numbered counter-clockwise starting
241       from 1 in north-east direction (source) Multiplying positive values  by
242       45  will  give  the  direction  in degrees that the surface runoff will
243       travel from that cell.  The value 0 (zero) indicates that the cell is a
244       depression area (defined by the depression input map).  Negative values
245       indicate that surface runoff is leaving the boundaries of  the  current
246       geographic  region.   The  absolute value of these negative cells indi‐
247       cates the direction of flow. For MFD, drainage indicates the  direction
248       of maximum flow.
249
250       The  output  basin  map contains unique label for each watershed basin.
251       Each basin will be given a unique positive even integer.   Areas  along
252       edges  may  not  be large enough to create an exterior watershed basin.
253       NULL values indicate that the cell is not part of a complete  watershed
254       basin in the current geographic region.
255
256       The  output  stream  contains stream segments. Values correspond to the
257       watershed basin values.  Can be vectorized after thinning (r.thin) with
258       r.to.vect.
259
260       The  output  half_basin  raster  map  stores each half-basin is given a
261       unique value. Watershed basins are divided into left and  right  sides.
262       The  right-hand side cell of the watershed basin (looking upstream) are
263       given even values corresponding to the values in basin.  The  left-hand
264       side  cells  of  the watershed basin are given odd values which are one
265       less than the value of the watershed basin.
266
267       The output length_slope raster map stores slope  length  and  steepness
268       (LS)  factor  for  the  Revised  Universal  Soil Loss Equation (RUSLE).
269       Equations taken from Revised Universal Soil Loss Equation  for  Western
270       Rangelands  (Weltz  et al. 1987). Since the LS factor is a small number
271       (usually less than one), the GRASS output map is of type DCELL.
272
273       The output slope_steepness raster map stores slope steepness (S) factor
274       for  the  Universal  Soil  Loss Equation (RUSLE).  Equations taken from
275       article entitled Revised Slope Steepness Factor for the Universal  Soil
276       Loss Equation (McCool et al. 1987).  Since the S factor is a small num‐
277       ber (usually less than one), the GRASS output map is of type DCELL.
278
279   AT least-cost search algorithm
280       r.watershed uses an AT least-cost search algorithm (see REFERENCES sec‐
281       tion)  designed  to minimize the impact of DEM data errors. Compared to
282       r.terraflow, this algorithm provides more accurate results in areas  of
283       low  slope  as  well  as  DEMs constructed with techniques that mistake
284       canopy tops as the ground elevation. Kinner et al. (2005), for example,
285       used  SRTM  and  IFSAR  DEMs to compare r.watershed against r.terraflow
286       results in Panama. r.terraflow was unable to replicate stream locations
287       in the larger valleys while r.watershed performed much better. Thus, if
288       forest canopy exists in valleys, SRTM, IFSAR, and similar data products
289       will  cause  major  errors  in r.terraflow stream output. Under similar
290       conditions, r.watershed will  generate  better  stream  and  half_basin
291       results.  If  watershed  divides contain flat to low slope, r.watershed
292       will generate better basin results than r.terraflow. (r.terraflow  uses
293       the  same  type  of algorithm as ESRI’s ArcGIS watershed software which
294       fails under these conditions.) Also, if watershed divides contain  for‐
295       est  canopy  mixed with uncanopied areas using SRTM, IFSAR, and similar
296       data products, r.watershed will  generate  better  basin  results  than
297       r.terraflow.  The  algorithm produces results similar to those obtained
298       when running r.cost and r.drain on every cell on the raster map.
299
300   Multiple flow direction (MFD)
301       r.watershed offers two methods to calculate surface flow:  single  flow
302       direction  (SFD, D8) and multiple flow direction (MFD). With MFD, water
303       flow is distributed to all neighbouring  cells  with  lower  elevation,
304       using slope towards neighbouring cells as a weighing factor for propor‐
305       tional distribution. The AT least-cost path is always  included.  As  a
306       result,  depressions  and  obstacles are traversed with a graceful flow
307       convergence before the overflow. The  convergence  factor  causes  flow
308       accumulation  to  converge  more  strongly with higher values. The sup‐
309       ported range is 1 to 10, recommended  is  a  convergence  factor  of  5
310       (Holmgren,  1994).  If  many  small sliver basins are created with MFD,
311       setting the convergence factor to a higher value can reduce the  amount
312       of small sliver basins.
313
314   In-memory mode and disk swap mode
315       There  are  two  versions of this program: ram and seg.  ram is used by
316       default, seg can be used by setting the -m flag.
317
318       The ram version requires a maximum of 31 MB of RAM for 1 million cells.
319       Together  with  the amount of system memory (RAM) available, this value
320       can be used to estimate whether the current  region  can  be  processed
321       with the ram version.
322
323       The  ram version uses virtual memory managed by the operating system to
324       store all the data structures and is faster than the seg  version;  seg
325       uses  the  GRASS segmentation library which manages data in disk files.
326       seg uses only as much system memory (RAM) as specified with the  memory
327       option,  allowing  other  processes to operate on the same system, even
328       when the current geographic region is huge.
329
330       Due to memory requirements of both programs, it is quite  easy  to  run
331       out  of  memory  when working with huge map regions. If the ram version
332       runs out of memory and the resolution size of  the  current  geographic
333       region cannot be increased, either more memory needs to be added to the
334       computer, or the swap space size needs to be increased. If seg runs out
335       of  memory,  additional disk space needs to be freed up for the program
336       to run.  The r.terraflow module was  specifically  designed  with  huge
337       regions in mind and may be useful here as an alternative, although disk
338       space requirements of r.terraflow are several times higher than of seg.
339
340   Large regions with many cells
341       The upper limit of the ram version  is  2  billion  (231  -  1)  cells,
342       whereas the upper limit for the seg version is 9 billion-billion (263 -
343       1 = 9.223372e+18) cells.
344       In some situations, the region size (number of cells) may be too  large
345       for  the  amount  of  time or memory available. Running r.watershed may
346       then require use of a coarser resolution.  To  make  the  results  more
347       closely  resemble the finer terrain data, create a map layer containing
348       the lowest elevation values at the coarser resolution. This is done by:
349       1)  Setting  the  current  geographic region equal to the elevation map
350       layer with g.region, and 2) Use the r.neighbors or r.resamp.stats  com‐
351       mand  to find the lowest value for an area equal in size to the desired
352       resolution. For example, if the resolution of the elevation data is  30
353       meters and the resolution of the geographic region for r.watershed will
354       be 90 meters: use the minimum function for a 3 by 3 neighborhood. After
355       changing  to  the resolution at which r.watershed will be run, r.water‐
356       shed should be run using the values from the  neighborhood  output  map
357       layer  that  represents  the minimum elevation within the region of the
358       coarser cell.
359
360   Basin threshold
361       The minimum size of drainage basins, defined by the  threshold  parame‐
362       ter,  is only relevant for those watersheds with a single stream having
363       at least the threshold of cells flowing into it.  (These watersheds are
364       called  exterior basins.)  Interior drainage basins contain stream seg‐
365       ments below multiple tributaries.  Interior drainage basins can  be  of
366       any size because the length of an interior stream segment is determined
367       by the distance between the tributaries flowing into it.
368
369   MASK and no data
370       The r.watershed program does not require the user to have  the  current
371       geographic  region  filled with elevation values.  Areas without eleva‐
372       tion data (masked or NULL cells) are ignored. It is  NOT  necessary  to
373       create  a  raster  map (or raster reclassification) named MASK for NULL
374       cells.  Areas without elevation data will be treated as if they are off
375       the  edge of the region. Such areas will reduce the memory necessary to
376       run the program.   Masking  out  unimportant  areas  can  significantly
377       reduce  processing  time  if  the watersheds of interest occupy a small
378       percentage of the overall area.
379
380       Gaps (NULL cells) in the elevation map that are located within the area
381       of  interest  will heavily influence the analysis: water will flow into
382       but not out of these gaps. These gaps must be filled  beforehand,  e.g.
383       with r.fillnulls.
384
385       Zero  (0)  and  negative  values will be treated as elevation data (not
386       no_data).
387
388   Further processing of output layers
389       Problem areas, i.e. those parts of a basin with a likely  underestimate
390       of flow accumulation, can be easily identified with e.g.
391         r.mapcalc "problems = if(flow_acc < 0, basin, null())"
392       If  the region of interest contains such problem areas, and this is not
393       desired, the computational region must be expanded until the  catchment
394       area for the region of interest is completely included.
395
396       To isolate an individual river network using the output of this module,
397       a number of approaches may be considered.
398
399       1      Use a resample of the basins catchment raster map as a MASK.
400              The equivalent vector map method is similar  using  v.select  or
401              v.overlay.
402
403       2      Use  the  r.cost  module with a point in the river as a starting
404              point.
405
406       3      Use the v.net.iso module with a node in the river as a  starting
407              point.
408
409       All  individual  river  networks  in  the stream segments output can be
410       identified through their ultimate outlet points. These points  are  all
411       cells  in  the stream segments output with negative drainage direction.
412       These points  can  be  used  as  start  points  for  r.water.outlet  or
413       v.net.iso.
414
415       To  create  river  mile segmentation from a vectorized streams map, try
416       the v.net.iso or v.lrs.segment modules.
417
418       The stream segments output can be easily vectorized after thinning with
419       r.thin.  Each  stream  segment in the vector map will have the value of
420       the associated basin. To isolate subbasins and  streams  for  a  larger
421       basin,  a MASK for the larger basin can be created with r.water.outlet.
422       The stream segments output serves as a guide where to place the  outlet
423       point  used  as input to r.water.outlet.  The basin threshold must have
424       been sufficiently small to  isolate  a  stream  network  and  subbasins
425       within the larger basin.
426
427       Given  that  the  drainage  is  8 directions numbered counter-clockwise
428       starting from 1 in north-east direction, multiplying the output  by  45
429       (by  45.  to get a double precision floating point raster map in r.map‐
430       calc) gives the directions in degrees.  For  most  applications,  zeros
431       which  indicate depressions specified by depression and negative values
432       which indicate runoff leaving the region should  be  replaced  by  NULL
433       (null()  in  r.mapcalc).  The following command performs these replace‐
434       ments:
435       r.mapcalc "drainage_degrees = if(drainage > 0, 45. * drainage, null())"
436       Alternatively, the user can use the -a flag or later the abs() function
437       in r.mapcalc if the runoff is leaving the region.
438

EXAMPLES

440       These examples use the Spearfish sample dataset.
441
442   Convert r.watershed streams map output to a vector map
443       If  you  want a detailed stream network, set the threshold option small
444       to create lots of catchment basins, as only one stream is presented per
445       catchment. The r.to.vect -v flag preserves the catchment ID as the vec‐
446       tor category number.
447         r.watershed elev=elevation.dem stream=rwater.stream
448         r.to.vect -v in=rwater.stream out=rwater_stream
449
450       Set a different color table for the accumulation map:
451         MAP=rwater.accum
452         r.watershed elev=elevation.dem accum=$MAP
453         eval `r.univar -g "$MAP"`
454         stddev_x_2=`echo $stddev | awk ’{print $1 * 2}’`
455         stddev_div_2=`echo $stddev | awk ’{print $1 / 2}’`
456         r.colors $MAP col=rules << EOF
457           0% red
458           -$stddev_x_2 red
459           -$stddev yellow
460           -$stddev_div_2 cyan
461           -$mean_of_abs blue
462           0 white
463           $mean_of_abs blue
464           $stddev_div_2 cyan
465           $stddev yellow
466           $stddev_x_2 red
467           100% red
468         EOF
469
470       Create a more detailed stream map using the accumulation map  and  con‐
471       vert it to a vector output map. The accumulation cut-off, and therefore
472       fractal dimension, is arbitrary; in this example we use the map’s  mean
473       number  of upstream catchment cells (calculated in the above example by
474       r.univar) as the cut-off value. This only works with SFD, not with MFD.
475         r.watershed elev=elevation.dem accum=rwater.accum
476         r.mapcalc ’MASK = if(!isnull(elevation.dem))’
477         r.mapcalc "rwater.course = \
478          if( abs(rwater.accum) > $mean_of_abs, \
479              abs(rwater.accum), \
480              null() )"
481         r.colors -g rwater.course col=bcyr
482         g.remove -f type=raster name=MASK
483         # Thinning is required before converting raster lines to vector
484         r.thin in=rwater.course out=rwater.course.Thin
485         r.colors -gn rwater.course.Thin color=grey
486         r.to.vect in=rwater.course.Thin out=rwater_course type=line
487         v.db.dropcolumn map=rwater_course column=label
488
489   Create watershed basins map and convert to a vector polygon map
490         r.watershed elev=elevation.dem basin=rwater.basin thresh=15000
491         r.to.vect -s in=rwater.basin out=rwater_basins type=area
492         v.db.dropcolumn map=rwater_basins column=label
493         v.db.renamecolumn map=rwater_basins column=value,catchment
494
495       Display output in a nice way
496         r.relief map=elevation.dem
497         d.shade shade=elevation.dem.shade color=rwater.basin bright=40
498         d.vect rwater_course color=orange
499

REFERENCES

501           ·   Ehlschlaeger C.  (1989).  Using  the  AT  Search  Algorithm  to
502               Develop Hydrologic Models from Digital Elevation Data, Proceed‐
503               ings of International  Geographic  Information  Systems  (IGIS)
504               Symposium ’89, pp 275-281 (Baltimore, MD, 18-19 March 1989).
505               URL: http://chuck.ehlschlaeger.info/older/IGIS/paper.html
506
507           ·   Holmgren  P.  (1994).  Multiple  flow  direction algorithms for
508               runoff modelling in grid based elevation models:  An  empirical
509               evaluation.  Hydrological Processes Vol 8(4), 327-334.
510               DOI: 10.1002/hyp.3360080405
511
512           ·   Kinner D., Mitasova H., Harmon R., Toma L., Stallard R. (2005).
513               GIS-based Stream Network Analysis for The Chagres River  Basin,
514               Republic  of  Panama. The Rio Chagres: A Multidisciplinary Pro‐
515               file of a Tropical Watershed, R. Harmon (Ed.), Springer/Kluwer,
516               p.83-95.
517               URL: http://www4.ncsu.edu/~hmitaso/measwork/panama/panama.html
518
519           ·   McCool  et  al.  (1987). Revised Slope Steepness Factor for the
520               Universal Soil Loss Equation,  Transactions  of  the  ASAE  Vol
521               30(5).
522
523           ·   Metz M., Mitasova H., Harmon R. (2011). Efficient extraction of
524               drainage networks from massive,  radar-based  elevation  models
525               with  least  cost path search, Hydrol. Earth Syst. Sci. Vol 15,
526               667-678.
527               DOI: 10.5194/hess-15-667-2011
528
529           ·   Moore I.D., Grayson R.B., Ladson A.R. (1991).  Digital  terrain
530               modelling:  a  review of hydrogical, geomorphological, and bio‐
531               logical applications, Hydrological Processes, Vol 5(1), 3-30
532               DOI: 10.1002/hyp.3360050103
533
534           ·   Quinn P., K. Beven K., Chevallier P., Planchon O.  (1991).  The
535               prediction of hillslope flow paths for distributed hydrological
536               modelling using Digital  Elevation  Models,  Hydrological  Pro‐
537               cesses Vol 5(1), p.59-79.
538               DOI: 10.1002/hyp.3360050106
539
540           ·   Weltz  M.  A., Renard K.G., Simanton J. R. (1987). Revised Uni‐
541               versal Soil Loss Equation for Western Rangelands, U.S.A./Mexico
542               Symposium  of  Strategies  for Classification and Management of
543               Native Vegetation for Food Production In  Arid  Zones  (Tucson,
544               AZ, 12-16 Oct. 1987).
545

SEE ALSO

547         g.region,  r.cost, r.drain, r.fillnulls, r.flow, r.mask, r.neighbors,
548       r.param.scale, r.resamp.interp, r.terraflow, r.topidx,  r.water.outlet,
549       r.stream.extract
550

AUTHORS

552       Original  version:  Charles  Ehlschlaeger, U.S. Army Construction Engi‐
553       neering Research Laboratory
554       Faster sorting algorithm and MFD support: Markus Metz <markus.metz.gis‐
555       work at gmail.com>
556       Retention for flow distribution by Andreas Gericke (IGB Berlin)
557

SOURCE CODE

559       Available at: r.watershed source code (history)
560
561       Main  index  | Raster index | Topics index | Keywords index | Graphical
562       index | Full index
563
564       © 2003-2020 GRASS Development Team, GRASS GIS 7.8.5 Reference Manual
565
566
567
568GRASS 7.8.5                                                     r.watershed(1)
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