1r.watershed(1)                Grass 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]        [threshold=integer]
17       [max_slope_length=float]         [accumulation=name]         [tci=name]
18       [spi=name]       [drainage=name]       [basin=name]       [stream=name]
19       [half_basin=name]      [length_slope=name]       [slope_steepness=name]
20       [convergence=integer]     [memory=integer]     [--overwrite]   [--help]
21       [--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       threshold=integer
80           Minimum size of exterior watershed basin
81
82       max_slope_length=float
83           Maximum length of surface flow in map units
84           For USLE
85
86       accumulation=name
87           Name for output accumulation raster map
88           Number of cells that drain through each cell
89
90       tci=name
91           Name for output topographic index ln(a / tan(b)) map
92
93       spi=name
94           Stream power index a * tan(b)
95           Name for output raster map
96
97       drainage=name
98           Name for output drainage direction raster map
99           Directions numbered from 1 to 8
100
101       basin=name
102           Name for output basins raster map
103
104       stream=name
105           Name for output stream segments raster map
106
107       half_basin=name
108           Name for output half basins raster map
109           Each half-basin is given a unique value
110
111       length_slope=name
112           Name for output slope length raster map
113           Slope length and steepness (LS) factor for USLE
114
115       slope_steepness=name
116           Name for output slope steepness raster map
117           Slope steepness (S) factor for USLE
118
119       convergence=integer
120           Convergence factor for MFD (1-10)
121           1 = most diverging flow, 10 = most converging flow. Recommended: 5
122           Default: 5
123
124       memory=integer
125           Maximum memory to be used with -m flag (in MB)
126           Default: 300
127

DESCRIPTION

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

NOTES

135       Without flag -m set, the entire analysis is run in memory maintained by
136       the operating system. This can be limiting, but is very  fast.  Setting
137       this flag causes the program to manage memory on disk which allows very
138       large maps to be processed but is slower.
139
140       Flag -s force the module to use single flow direction (SFD, D8) instead
141       of multiple flow direction (MFD). MFD is enabled by default.
142
143       By  -4  flag the user allow only horizontal and vertical flow of water.
144       Stream and slope lengths are approximately the  same  as  outputs  from
145       default surface flow (allows horizontal, vertical, and diagonal flow of
146       water).  This flag will also make the drainage basins look more homoge‐
147       neous.
148
149       When  -a  flag is specified the module will use positive flow accumula‐
150       tion even for likely underestimates. When this flag is not  set,  cells
151       with  a  flow  accumulation value that is likely to be an underestimate
152       are converted to the negative. See below for a detailed description  of
153       flow accumulation output.
154
155       Option  convergence  specifies convergence factor for MFD. Lower values
156       result in higher divergence, flow is more  widely  distributed.  Higher
157       values  result  in higher convergence, flow is less widely distributed,
158       becoming more similar to SFD.
159
160       Option elevation specifies the elevation data on which entire  analysis
161       is based. NULL (nodata) cells are ignored, zero and negative values are
162       valid elevation data.  Gaps in  the  elevation  map  that  are  located
163       within  the  area  of  interest  must  be  filled beforehand, e.g. with
164       r.fillnulls, to avoid distortions.   The  elevation  map  need  not  be
165       sink-filled because the module uses a least-cost algorithm.
166
167       Option  depression  specifies the optional map of actual depressions or
168       sinkholes in the landscape that are large enough to slow and store sur‐
169       face  runoff  from  a storm event.  All cells that are not NULL and not
170       zero indicate depressions. Water will flow into but not out of  depres‐
171       sions.
172
173       Raster  flow  map specifies amount of overland flow per cell.  This map
174       indicates the amount of overland flow units that each  cell  will  con‐
175       tribute to the watershed basin model. Overland flow units represent the
176       amount of overland flow each cell contributes to surface flow. If omit‐
177       ted, a value of one (1) is assumed.
178
179       Input  Raster  map  or  value  containing the percent of disturbed land
180       (i.e., croplands, and construction sites) where  the  raster  or  input
181       value  of  17  equals  17%.   If  no map or value is given, r.watershed
182       assumes no disturbed land. This input is used for  the  RUSLE  calcula‐
183       tions.
184
185       Option  blocking  specifies  terrain  that  will block overland surface
186       flow. Blocking cells and streams stop the slope length for  the  RUSLE.
187       All cells that are not NULL and not zero indicate blocking terrain.
188
189       Option  threshold  specifies  the minimum size of an exterior watershed
190       basin in cells, if no flow map is input, or overland flow units when  a
191       flow  map  is  given.  Warning: low threshold values will dramactically
192       increase run time and generate difficult to read basin  and  half_basin
193       results.   This  parameter  also  controls  the  level of detail in the
194       stream segments map.
195
196       Value given by max_slope_length option indicates the maximum length  of
197       overland  surface flow in meters. If overland flow travels greater than
198       the maximum length, the program assumes the maximum length (it  assumes
199       that landscape characteristics not discernible in the digital elevation
200       model exist that maximize the slope length).  This input  is  used  for
201       the RUSLE calculations and is a sensitive parameter.
202
203       Output  accumulation  map  contains the absolute value of the amount of
204       overland flow that traverses each cell. This value will be  the  number
205       of  upland  cells  plus  one  if no overland flow map is given.  If the
206       overland flow map is given, the value will be in overland  flow  units.
207       Negative numbers indicate that those cells possibly have surface runoff
208       from outside of the current geographic region.  Thus,  any  cells  with
209       negative  values  cannot  have  their  surface runoff and sedimentation
210       yields calculated accurately.
211
212       Output tci raster map  contains  topographic  index  TCI,  computed  as
213       ln(α  /  tan(β))  where α is the cumulative upslope area
214       draining through a point per unit contour length and tan(β) is the
215       local slope angle. The TCI reflects the tendency of water to accumulate
216       at any point in the catchment and the tendency for gravitational forces
217       to  move  that water downslope (Quinn et al. 1991).  This value will be
218       negative if &#945; / tan(&#946;) < 1.
219
220       Output spi raster map contains stream  power  index  SPI,  computed  as
221       &#945; * tan(&#946;) where &#945; is the cumulative upslope area drain‐
222       ing through a point per unit contour  length  and  tan(&#946;)  is  the
223       local  slope  angle.  The  SPI  reflects the power of water flow at any
224       point in the catchment and the tendency  for  gravitational  forces  to
225       move that water downslope (Moore et al. 1991).  This value will be neg‐
226       ative if &#945; < 0, i.e. for cells with possible surface  runoff  from
227       outside of the current geographic region.
228
229       Output  drainage  raster map contains drainage direction.  Provides the
230       "aspect" for each cell measured CCW from  East.   Multiplying  positive
231       values by 45 will give the direction in degrees that the surface runoff
232       will travel from that cell.  The value 0 (zero) indicates that the cell
233       is  a  depression area (defined by the depression input map).  Negative
234       values indicate that surface runoff is leaving the  boundaries  of  the
235       current  geographic region.  The absolute value of these negative cells
236       indicates the direction of flow. For MFD, drainage indicates the direc‐
237       tion of maximum flow.
238
239       The  output  basin  map contains unique label for each watershed basin.
240       Each basin will be given a unique positive even integer.   Areas  along
241       edges  may  not  be large enough to create an exterior watershed basin.
242       NULL values indicate that the cell is not part of a complete  watershed
243       basin in the current geographic region.
244
245       The  output  stream  contains stream segments. Values correspond to the
246       watershed basin values.  Can be vectorized after thinning (r.thin) with
247       r.to.vect.
248
249       The  output  half_basin  raster  map  stores each half-basin is given a
250       unique value. Watershed basins are divided into left and  right  sides.
251       The  right-hand side cell of the watershed basin (looking upstream) are
252       given even values corresponding to the values in basin.  The  left-hand
253       side  cells  of  the watershed basin are given odd values which are one
254       less than the value of the watershed basin.
255
256       The output length_slope raster map stores slope  length  and  steepness
257       (LS)  factor  for  the  Revised  Universal  Soil Loss Equation (RUSLE).
258       Equations taken from Revised Universal Soil Loss Equation  for  Western
259       Rangelands  (Weltz  et al. 1987). Since the LS factor is a small number
260       (usually less than one), the GRASS output map is of type DCELL.
261
262       The output slope_steepness raster map stores slope steepness (S) factor
263       for  the  Universal  Soil  Loss Equation (RUSLE).  Equations taken from
264       article entitled Revised Slope Steepness Factor for the Universal  Soil
265       Loss Equation (McCool et al. 1987).  Since the S factor is a small num‐
266       ber (usually less than one), the GRASS output map is of type DCELL.
267
268   AT least-cost search algorithm
269       r.watershed uses an AT least-cost search algorithm (see REFERENCES sec‐
270       tion)  designed  to minimize the impact of DEM data errors. Compared to
271       r.terraflow, this algorithm provides more accurate results in areas  of
272       low  slope  as  well  as  DEMs constructed with techniques that mistake
273       canopy tops as the ground elevation. Kinner et al. (2005), for example,
274       used  SRTM  and  IFSAR  DEMs to compare r.watershed against r.terraflow
275       results in Panama. r.terraflow was unable to replicate stream locations
276       in the larger valleys while r.watershed performed much better. Thus, if
277       forest canopy exists in valleys, SRTM, IFSAR, and similar data products
278       will  cause  major  errors  in r.terraflow stream output. Under similar
279       conditions, r.watershed will  generate  better  stream  and  half_basin
280       results.  If  watershed  divides contain flat to low slope, r.watershed
281       will generate better basin results than r.terraflow. (r.terraflow  uses
282       the  same  type  of algorithm as ESRI’s ArcGIS watershed software which
283       fails under these conditions.) Also, if watershed divides contain  for‐
284       est  canopy  mixed with uncanopied areas using SRTM, IFSAR, and similar
285       data products, r.watershed will  generate  better  basin  results  than
286       r.terraflow.  The  algorithm produces results similar to those obtained
287       when running r.cost and r.drain on every cell on the raster map.
288
289   Multiple flow direction (MFD)
290       r.watershed offers two methods to calculate surface flow:  single  flow
291       direction  (SFD, D8) and multiple flow direction (MFD). With MFD, water
292       flow is distributed to all neighbouring  cells  with  lower  elevation,
293       using slope towards neighbouring cells as a weighing factor for propor‐
294       tional distribution. The AT least-cost path is always  included.  As  a
295       result,  depressions  and  obstacles are traversed with a graceful flow
296       convergence before the overflow. The  convergence  factor  causes  flow
297       accumulation  to  converge  more  strongly with higher values. The sup‐
298       ported range is 1 to 10, recommended  is  a  convergence  factor  of  5
299       (Holmgren,  1994).  If  many  small sliver basins are created with MFD,
300       setting the convergence factor to a higher value can reduce the  amount
301       of small sliver basins.
302
303   In-memory mode and disk swap mode
304       There  are  two  versions of this program: ram and seg.  ram is used by
305       default, seg can be used by setting the -m flag.
306
307       The ram version requires a maximum of 31 MB of RAM for 1 million cells.
308       Together  with  the amount of system memory (RAM) available, this value
309       can be used to estimate whether the current  region  can  be  processed
310       with the ram version.
311
312       The  ram version uses virtual memory managed by the operating system to
313       store all the data structures and is faster than the seg  version;  seg
314       uses  the  GRASS segmentation library which manages data in disk files.
315       seg uses only as much system memory (RAM) as specified with the  memory
316       option,  allowing  other  processes to operate on the same system, even
317       when the current geographic region is huge.
318
319       Due to memory requirements of both programs, it is quite  easy  to  run
320       out  of  memory  when working with huge map regions. If the ram version
321       runs out of memory and the resolution size of  the  current  geographic
322       region cannot be increased, either more memory needs to be added to the
323       computer, or the swap space size needs to be increased. If seg runs out
324       of  memory,  additional disk space needs to be freed up for the program
325       to run.  The r.terraflow module was  specifically  designed  with  huge
326       regions in mind and may be useful here as an alternative, although disk
327       space requirements of r.terraflow are several times higher than of seg.
328
329   Large regions with many cells
330       The upper limit of the ram version  is  2  billion  (231  -  1)  cells,
331       whereas the upper limit for the seg version is 9 billion-billion (263 -
332       1 = 9.223372e+18) cells.
333       In some situations, the region size (number of cells) may be too  large
334       for  the  amount  of  time or memory available. Running r.watershed may
335       then require use of a coarser resolution.  To  make  the  results  more
336       closely  resemble the finer terrain data, create a map layer containing
337       the lowest elevation values at the coarser resolution. This is done by:
338       1)  Setting  the  current  geographic region equal to the elevation map
339       layer with g.region, and 2) Use the r.neighbors or r.resamp.stats  com‐
340       mand  to find the lowest value for an area equal in size to the desired
341       resolution. For example, if the resolution of the elevation data is  30
342       meters and the resolution of the geographic region for r.watershed will
343       be 90 meters: use the minimum function for a 3 by 3 neighborhood. After
344       changing  to  the resolution at which r.watershed will be run, r.water‐
345       shed should be run using the values from the  neighborhood  output  map
346       layer  that  represents  the minimum elevation within the region of the
347       coarser cell.
348
349   Basin threshold
350       The minimum size of drainage basins, defined by the  threshold  parame‐
351       ter,  is only relevant for those watersheds with a single stream having
352       at least the threshold of cells flowing into it.  (These watersheds are
353       called  exterior basins.)  Interior drainage basins contain stream seg‐
354       ments below multiple tributaries.  Interior drainage basins can  be  of
355       any size because the length of an interior stream segment is determined
356       by the distance between the tributaries flowing into it.
357
358   MASK and no data
359       The r.watershed program does not require the user to have  the  current
360       geographic  region  filled with elevation values.  Areas without eleva‐
361       tion data (masked or NULL cells) are ignored. It is  NOT  necessary  to
362       create  a  raster  map (or raster reclassification) named MASK for NULL
363       cells.  Areas without elevation data will be treated as if they are off
364       the  edge of the region. Such areas will reduce the memory necessary to
365       run the program.   Masking  out  unimportant  areas  can  significantly
366       reduce  processing  time  if  the watersheds of interest occupy a small
367       percentage of the overall area.
368
369       Gaps (NULL cells) in the elevation map that are located within the area
370       of  interest  will heavily influence the analysis: water will flow into
371       but not out of these gaps. These gaps must be filled  beforehand,  e.g.
372       with r.fillnulls.
373
374       Zero  (0)  and  negative  values will be treated as elevation data (not
375       no_data).
376
377   Further processing of output layers
378       Problem areas, i.e. those parts of a basin with a likely  underestimate
379       of flow accumulation, can be easily identified with e.g.
380         r.mapcalc "problems = if(flow_acc < 0, basin, null())"
381       If  the region of interest contains such problem areas, and this is not
382       desired, the computational region must be expanded until the  catchment
383       area for the region of interest is completely included.
384
385       To isolate an individual river network using the output of this module,
386       a number of approaches may be considered.
387
388       1      Use a resample of the basins catchment raster map as a MASK.
389              The equivalent vector map method is similar  using  v.select  or
390              v.overlay.
391
392       2      Use  the  r.cost  module with a point in the river as a starting
393              point.
394
395       3      Use the v.net.iso module with a node in the river as a  starting
396              point.
397
398       All  individual  river  networks  in  the stream segments output can be
399       identified through their ultimate outlet points. These points  are  all
400       cells  in  the stream segments output with negative drainage direction.
401       These points  can  be  used  as  start  points  for  r.water.outlet  or
402       v.net.iso.
403
404       To  create  river  mile segmentation from a vectorized streams map, try
405       the v.net.iso or v.lrs.segment modules.
406
407       The stream segments output can be easily vectorized after thinning with
408       r.thin.  Each  stream  segment in the vector map will have the value of
409       the associated basin. To isolate subbasins and  streams  for  a  larger
410       basin,  a MASK for the larger basin can be created with r.water.outlet.
411       The stream segments output serves as a guide where to place the  outlet
412       point  used  as input to r.water.outlet.  The basin threshold must have
413       been sufficiently small to  isolate  a  stream  network  and  subbasins
414       within the larger basin.
415
416       Given  that  the  drainage  is  8 directions numbered counter-clockwise
417       starting from 1 in north-east direction, multiplying the output  by  45
418       (by  45.  to get a double precision floating point raster map in r.map‐
419       calc) gives the directions in degrees.  For  most  applications,  zeros
420       which  indicate depressions specified by depression and negative values
421       which indicate runoff leaving the region should  be  replaced  by  NULL
422       (null()  in  r.mapcalc).  The following command performs these replace‐
423       ments:
424       r.mapcalc "drainage_degrees = if(drainage > 0, 45. * drainage, null())"
425       Alternatively, the user can use the -a flag or later the abs() function
426       in r.mapcalc if the runoff is leaving the region.
427

EXAMPLES

429       These examples use the Spearfish sample dataset.
430
431   Convert r.watershed streams map output to a vector map
432       If  you  want a detailed stream network, set the threshold option small
433       to create lots of catchment basins, as only one stream is presented per
434       catchment. The r.to.vect -v flag preserves the catchment ID as the vec‐
435       tor category number.
436         r.watershed elev=elevation.dem stream=rwater.stream
437         r.to.vect -v in=rwater.stream out=rwater_stream
438
439       Set a different color table for the accumulation map:
440         MAP=rwater.accum
441         r.watershed elev=elevation.dem accum=$MAP
442         eval `r.univar -g "$MAP"`
443         stddev_x_2=`echo $stddev | awk ’{print $1 * 2}’`
444         stddev_div_2=`echo $stddev | awk ’{print $1 / 2}’`
445         r.colors $MAP col=rules << EOF
446           0% red
447           -$stddev_x_2 red
448           -$stddev yellow
449           -$stddev_div_2 cyan
450           -$mean_of_abs blue
451           0 white
452           $mean_of_abs blue
453           $stddev_div_2 cyan
454           $stddev yellow
455           $stddev_x_2 red
456           100% red
457         EOF
458
459       Create a more detailed stream map using the accumulation map  and  con‐
460       vert it to a vector output map. The accumulation cut-off, and therefore
461       fractal dimension, is arbitrary; in this example we use the map’s  mean
462       number  of upstream catchment cells (calculated in the above example by
463       r.univar) as the cut-off value. This only works with SFD, not with MFD.
464         r.watershed elev=elevation.dem accum=rwater.accum
465         r.mapcalc ’MASK = if(!isnull(elevation.dem))’
466         r.mapcalc "rwater.course = \
467          if( abs(rwater.accum) > $mean_of_abs, \
468              abs(rwater.accum), \
469              null() )"
470         r.colors -g rwater.course col=bcyr
471         g.remove -f type=raster name=MASK
472         # Thinning is required before converting raster lines to vector
473         r.thin in=rwater.course out=rwater.course.Thin
474         r.colors -gn rwater.course.Thin color=grey
475         r.to.vect in=rwater.course.Thin out=rwater_course type=line
476         v.db.dropcolumn map=rwater_course column=label
477
478   Create watershed basins map and convert to a vector polygon map
479         r.watershed elev=elevation.dem basin=rwater.basin thresh=15000
480         r.to.vect -s in=rwater.basin out=rwater_basins type=area
481         v.db.dropcolumn map=rwater_basins column=label
482         v.db.renamecolumn map=rwater_basins column=value,catchment
483
484       Display output in a nice way
485         r.relief map=elevation.dem
486         d.shade shade=elevation.dem.shade color=rwater.basin bright=40
487         d.vect rwater_course color=orange
488

REFERENCES

490           ·   Ehlschlaeger C.  (1989).  Using  the  AT  Search  Algorithm  to
491               Develop Hydrologic Models from Digital Elevation Data, Proceed‐
492               ings of International  Geographic  Information  Systems  (IGIS)
493               Symposium ’89, pp 275-281 (Baltimore, MD, 18-19 March 1989).
494               URL: http://chuck.ehlschlaeger.info/older/IGIS/paper.html
495
496           ·   Holmgren  P.  (1994).  Multiple  flow  direction algorithms for
497               runoff modelling in grid based elevation models:  An  empirical
498               evaluation.  Hydrological Processes Vol 8(4), 327-334.
499               DOI: 10.1002/hyp.3360080405
500
501           ·   Kinner D., Mitasova H., Harmon R., Toma L., Stallard R. (2005).
502               GIS-based Stream Network Analysis for The Chagres River  Basin,
503               Republic  of  Panama. The Rio Chagres: A Multidisciplinary Pro‐
504               file of a Tropical Watershed, R. Harmon (Ed.), Springer/Kluwer,
505               p.83-95.
506               URL: http://www4.ncsu.edu/~hmitaso/measwork/panama/panama.html
507
508           ·   McCool  et  al.  (1987). Revised Slope Steepness Factor for the
509               Universal Soil Loss Equation,  Transactions  of  the  ASAE  Vol
510               30(5).
511
512           ·   Metz M., Mitasova H., Harmon R. (2011). Efficient extraction of
513               drainage networks from massive,  radar-based  elevation  models
514               with  least  cost path search, Hydrol. Earth Syst. Sci. Vol 15,
515               667-678.
516               DOI: 10.5194/hess-15-667-2011
517
518           ·   Moore I.D., Grayson R.B., Ladson A.R. (1991).  Digital  terrain
519               modelling:  a  review of hydrogical, geomorphological, and bio‐
520               logical applications, Hydrological Processes, Vol 5(1), 3-30
521               DOI: 10.1002/hyp.3360050103
522
523           ·   Quinn P., K. Beven K., Chevallier P., Planchon O.  (1991).  The
524               prediction of hillslope flow paths for distributed hydrological
525               modelling using Digital  Elevation  Models,  Hydrological  Pro‐
526               cesses Vol 5(1), p.59-79.
527               DOI: 10.1002/hyp.3360050106
528
529           ·   Weltz  M.  A., Renard K.G., Simanton J. R. (1987). Revised Uni‐
530               versal Soil Loss Equation for Western Rangelands, U.S.A./Mexico
531               Symposium  of  Strategies  for Classification and Management of
532               Native Vegetation for Food Production In  Arid  Zones  (Tucson,
533               AZ, 12-16 Oct. 1987).
534

SEE ALSO

536         g.region,  r.cost, r.drain, r.fillnulls, r.flow, r.mask, r.neighbors,
537       r.param.scale, r.resamp.interp, r.terraflow, r.topidx,  r.water.outlet,
538       r.stream.extract
539

AUTHORS

541       Original  version:  Charles  Ehlschlaeger, U.S. Army Construction Engi‐
542       neering Research Laboratory
543       Faster sorting algorithm and MFD support: Markus Metz <markus.metz.gis‐
544       work at gmail.com>
545
546       Last changed: $Date: 2018-10-18 21:13:18 +0200 (Thu, 18 Oct 2018) $
547

SOURCE CODE

549       Available at: r.watershed source code (history)
550
551       Main  index  | Raster index | Topics index | Keywords index | Graphical
552       index | Full index
553
554       © 2003-2019 GRASS Development Team, GRASS GIS 7.4.4 Reference Manual
555
556
557
558GRASS 7.4.4                                                     r.watershed(1)
Impressum