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

NAME
       r.watershed  - Calculates hydrological parameters and RUSLE factors.

KEYWORDS
       raster,	hydrology,  watershed, accumulation, drainage, stream network,
       stream power index, topographic index

SYNOPSIS
       r.watershed
       r.watershed --help
       r.watershed [-s4mab]  elevation=name   [depression=name]	   [flow=name]
       [disturbed_land=name]	[blocking=name]	   [retention=name]   [thresh-
       old=integer]	   [max_slope_length=float]	   [accumulation=name]
       [tci=name]	 [spi=name]	   [drainage=name]	  [basin=name]
       [stream=name]   [half_basin=name]   [length_slope=name]	 [slope_steep-
       ness=name]    [convergence=integer]    [memory=memory in	MB]   [--over-
       write]  [--help]	 [--verbose]  [--quiet]	 [--ui]

   Flags:
       -s
	   SFD (D8) flow (default is MFD)
	   SFD:	single flow direction, MFD: multiple flow direction

       -4
	   Allow only horizontal and vertical flow of water

       -m
	   Enable disk swap memory option: Operation is	slow
	   Only	needed if memory requirements exceed available RAM; see	manual
	   on how to calculate memory requirements

       -a
	   Use positive	flow accumulation even for likely underestimates
	   See manual for a detailed description of flow accumulation output

       -b
	   Beautify flat areas
	   Flow	direction in flat areas	is modified to look prettier

       --overwrite
	   Allow output	files to overwrite existing files

       --help
	   Print usage summary

       --verbose
	   Verbose module output

       --quiet
	   Quiet module	output

       --ui
	   Force launching GUI dialog

   Parameters:
       elevation=nameA [required]
	   Name	of input elevation raster map

       depression=name
	   Name	of input depressions raster map
	   All non-NULL	and non-zero cells are considered as real depressions

       flow=name
	   Name	of input raster	representing amount of overland	flow per cell

       disturbed_land=name
	   Name	of input raster	map percent of disturbed land
	   For USLE

       blocking=name
	   Name	of input raster	map blocking overland surface flow
	   For	USLE. All non-NULL and non-zero	cells are considered as	block-
	   ing terrain.

       retention=name
	   Name	of input raster	map with percentages for flow accumulation.

       threshold=integer
	   Minimum size	of exterior watershed basin

       max_slope_length=float
	   Maximum length of surface flow in map units
	   For USLE

       accumulation=name
	   Name	for output accumulation	raster map
	   Number of cells that	drain through each cell

       tci=name
	   Name	for output topographic index ln(a / tan(b)) map

       spi=name
	   Name	for output stream power	index a	* tan(b)
	   Name	for output raster map

       drainage=name
	   Name	for output drainage direction raster map
	   Directions numbered from 1 to 8

       basin=name
	   Name	for output basins raster map

       stream=name
	   Name	for output stream segments raster map

       half_basin=name
	   Name	for output half	basins raster map
	   Each	half-basin is given a unique value

       length_slope=name
	   Name	for output slope length	raster map
	   Slope length	and steepness (LS) factor for USLE

       slope_steepness=name
	   Name	for output slope steepness raster map
	   Slope steepness (S) factor for USLE

       convergence=integer
	   Convergence factor for MFD (1-10)
	   1 = most diverging flow, 10 = most converging flow. Recommended: 5
	   Default: 5

       memory=memory in	MB
	   Maximum memory to be	used (in MB)
	   Cache size for raster rows
	   Default: 300

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

NOTES
       Without flag -m set, the	entire analysis	is run in memory maintained by
       the operating system. This can be limiting, but is very	fast.  Setting
       this flag causes	the program to manage memory on	disk which allows very
       large maps to be	processed but is slower.

       Flag -s force the module	to use single flow direction (SFD, D8) instead
       of multiple flow	direction (MFD). MFD is	enabled	by default.

       By  -4  flag the	user allow only	horizontal and vertical	flow of	water.
       Stream and slope	lengths	are approximately the same as outputs from de-
       fault  surface  flow (allows horizontal,	vertical, and diagonal flow of
       water).	This flag will also make the drainage basins look more homoge-
       neous.

       When  -a	 flag is specified the module will use positive	flow accumula-
       tion even for likely underestimates. When this flag is not  set,	 cells
       with  a	flow  accumulation value that is likely	to be an underestimate
       are converted to	the negative. See below	for a detailed description  of
       flow accumulation output.

       Option  convergence  specifies convergence factor for MFD. Lower	values
       result in higher	divergence, flow is more  widely  distributed.	Higher
       values  result  in higher convergence, flow is less widely distributed,
       becoming	more similar to	SFD.

       Option elevation	specifies the elevation	data on	which entire  analysis
       is based. NULL (nodata) cells are ignored, zero and negative values are
       valid elevation data.  Gaps in  the  elevation  map  that  are  located
       within  the  area  of  interest	must  be  filled beforehand, e.g. with
       r.fillnulls, to avoid distortions.   The	 elevation  map	 need  not  be
       sink-filled because the module uses a least-cost	algorithm.

       Option  depression  specifies the optional map of actual	depressions or
       sinkholes in the	landscape that are large enough	to slow	and store sur-
       face  runoff  from  a storm event.  All cells that are not NULL and not
       zero indicate depressions. Water	will flow into but not out of  depres-
       sions.

       Raster  flow  map specifies amount of overland flow per cell.  This map
       indicates the amount of overland	flow units that	each  cell  will  con-
       tribute to the watershed	basin model. Overland flow units represent the
       amount of overland flow each cell contributes to	surface	flow. If omit-
       ted, a value of one (1) is assumed.

       Raster  retention  map  specifies  correction factors per cell for flow
       distribution. This map indicates	the percentage of overland flow	 units
       leaving each cell. Values should	be between zero	and 100. If omitted, a
       value of	100 is assumed.

       Input Raster map	or value containing  the  percent  of  disturbed  land
       (i.e.,  croplands,  and	construction  sites) where the raster or input
       value of	17 equals 17%.	If no map or value is given,  r.watershed  as-
       sumes no	disturbed land.	This input is used for the RUSLE calculations.

       Option  blocking	 specifies  terrain  that  will	block overland surface
       flow. Blocking cells and	streams	stop the slope length for  the	RUSLE.
       All cells that are not NULL and not zero	indicate blocking terrain.

       Option  threshold  specifies  the minimum size of an exterior watershed
       basin in	cells, if no flow map is input,	or overland flow units when  a
       flow  map  is  given.  Warning: low threshold values will dramactically
       increase	run time and generate difficult	to read	basin  and  half_basin
       results.	  This	parameter  also	 controls  the	level of detail	in the
       stream segments map.

       Value given by max_slope_length option indicates	the maximum length  of
       overland	 surface flow in meters. If overland flow travels greater than
       the maximum length, the program assumes the maximum length (it  assumes
       that landscape characteristics not discernible in the digital elevation
       model exist that	maximize the slope length).  This input	 is  used  for
       the RUSLE calculations and is a sensitive parameter.

       Output  accumulation  map  contains the absolute	value of the amount of
       overland	flow that traverses each cell. This value will be  the	number
       of  upland  cells  plus	one  if	no overland flow map is	given.	If the
       overland	flow map is given, the value will be in	overland  flow	units.
       Negative	numbers	indicate that those cells possibly have	surface	runoff
       from outside of the current geographic region.  Thus,  any  cells  with
       negative	 values	 cannot	 have  their  surface runoff and sedimentation
       yields calculated accurately.

       Output tci raster map  contains	topographic  index  TCI,  computed  as
       ln(I+-  /  tan(I^2))  where I+- is the cumulative upslope area draining
       through a point per unit	contour	length and tan(I^2) is the local slope
       angle.  The  TCI	 reflects  the	tendency of water to accumulate	at any
       point in	the catchment and the tendency	for  gravitational  forces  to
       move that water downslope (Quinn	et al. 1991).  This value will be neg-
       ative if	I+- / tan(I^2) < 1.

       Output spi raster map contains stream power index SPI, computed as  I+-
       *  tan(I^2) where I+- is	the cumulative upslope area draining through a
       point per unit contour length and tan(I^2) is the  local	 slope	angle.
       The  SPI	reflects the power of water flow at any	point in the catchment
       and the tendency	for gravitational forces to move that water  downslope
       (Moore  et al. 1991).  This value will be negative if I+- < 0, i.e. for
       cells with possible surface runoff from outside	of  the	 current  geo-
       graphic region.

       Output  drainage	 raster	map contains drainage direction.  Provides the
       "aspect"	for each cell measured CCW from	East.
       Figure: Drainage	is 8 directions	 numbered  counter-clockwise  starting
       from  1 in north-east direction (source)	Multiplying positive values by
       45 will give the	direction in degrees  that  the	 surface  runoff  will
       travel from that	cell.  The value 0 (zero) indicates that the cell is a
       depression area (defined	by the depression input	map).  Negative	values
       indicate	 that  surface runoff is leaving the boundaries	of the current
       geographic region.  The absolute	value of these	negative  cells	 indi-
       cates  the direction of flow. For MFD, drainage indicates the direction
       of maximum flow.

       The output basin	map contains unique label for  each  watershed	basin.
       Each  basin  will be given a unique positive even integer.  Areas along
       edges may not be	large enough to	create an  exterior  watershed	basin.
       NULL  values indicate that the cell is not part of a complete watershed
       basin in	the current geographic region.

       The output stream contains stream segments. Values  correspond  to  the
       watershed basin values.	Can be vectorized after	thinning (r.thin) with
       r.to.vect.

       The output half_basin raster map	stores	each  half-basin  is  given  a
       unique  value.  Watershed basins	are divided into left and right	sides.
       The right-hand side cell	of the watershed basin (looking	upstream)  are
       given  even values corresponding	to the values in basin.	 The left-hand
       side cells of the watershed basin are given odd values  which  are  one
       less than the value of the watershed basin.

       The  output  length_slope  raster map stores slope length and steepness
       (LS) factor for the  Revised  Universal	Soil  Loss  Equation  (RUSLE).
       Equations  taken	 from Revised Universal	Soil Loss Equation for Western
       Rangelands (Weltz et al.	1987). Since the LS factor is a	 small	number
       (usually	less than one),	the GRASS output map is	of type	DCELL.

       The output slope_steepness raster map stores slope steepness (S)	factor
       for the Universal Soil Loss Equation (RUSLE).  Equations	taken from ar-
       ticle  entitled	Revised	 Slope Steepness Factor	for the	Universal Soil
       Loss Equation (McCool et	al. 1987).  Since the S	factor is a small num-
       ber (usually less than one), the	GRASS output map is of type DCELL.

   AT least-cost search	algorithm
       r.watershed uses	an AT least-cost search	algorithm (see REFERENCES sec-
       tion) designed to minimize the impact of	DEM data errors.  Compared  to
       r.terraflow,  this algorithm provides more accurate results in areas of
       low slope as well as DEMs  constructed  with  techniques	 that  mistake
       canopy tops as the ground elevation. Kinner et al. (2005), for example,
       used SRTM and IFSAR DEMs	to compare r.watershed against r.terraflow re-
       sults  in  Panama. r.terraflow was unable to replicate stream locations
       in the larger valleys while r.watershed performed much better. Thus, if
       forest canopy exists in valleys,	SRTM, IFSAR, and similar data products
       will cause major	errors in r.terraflow  stream  output.	Under  similar
       conditions,  r.watershed	will generate better stream and	half_basin re-
       sults. If watershed divides contain flat	to low slope, r.watershed will
       generate	 better	 basin results than r.terraflow. (r.terraflow uses the
       same type of algorithm as ESRI's	ArcGIS watershed software which	 fails
       under  these  conditions.)  Also,  if  watershed	divides	contain	forest
       canopy mixed with uncanopied areas using	SRTM, IFSAR, and similar  data
       products,  r.watershed  will  generate better basin results than	r.ter-
       raflow. The algorithm produces results similar to those	obtained  when
       running r.cost and r.drain on every cell	on the raster map.

   Multiple flow direction (MFD)
       r.watershed  offers  two	methods	to calculate surface flow: single flow
       direction (SFD, D8) and multiple	flow direction (MFD). With MFD,	 water
       flow is distributed to all neighbouring cells with lower	elevation, us-
       ing slope towards neighbouring cells as a weighing factor  for  propor-
       tional  distribution.  The  AT least-cost path is always	included. As a
       result, depressions and obstacles are traversed with  a	graceful  flow
       convergence before the overflow.	The convergence	factor causes flow ac-
       cumulation to converge more strongly with higher	values.	The  supported
       range  is  1 to 10, recommended is a convergence	factor of 5 (Holmgren,
       1994). If many small sliver basins are created with  MFD,  setting  the
       convergence  factor  to	a  higher value	can reduce the amount of small
       sliver basins.

   In-memory mode and disk swap	mode
       There are two versions of this program: ram and seg.  ram  is  used  by
       default,	seg can	be used	by setting the -m flag.

       The ram version requires	a maximum of 31	MB of RAM for 1	million	cells.
       Together	with the amount	of system memory (RAM) available,  this	 value
       can  be	used  to  estimate whether the current region can be processed
       with the	ram version.

       The ram version uses virtual memory managed by the operating system  to
       store  all  the data structures and is faster than the seg version; seg
       uses the	GRASS segmentation library which manages data in  disk	files.
       seg  uses only as much system memory (RAM) as specified with the	memory
       option, allowing	other processes	to operate on the  same	 system,  even
       when the	current	geographic region is huge.

       Due  to	memory	requirements of	both programs, it is quite easy	to run
       out of memory when working with huge map	regions. If  the  ram  version
       runs  out  of  memory and the resolution	size of	the current geographic
       region cannot be	increased, either more memory needs to be added	to the
       computer, or the	swap space size	needs to be increased. If seg runs out
       of memory, additional disk space	needs to be freed up for  the  program
       to run.	The r.terraflow	module was specifically	designed with huge re-
       gions in	mind and may be	useful here as an alternative,	although  disk
       space requirements of r.terraflow are several times higher than of seg.

   Large regions with many cells
       The  upper  limit  of  the  ram	version	 is 2 billion (231 - 1)	cells,
       whereas the upper limit for the seg version is 9	billion-billion	(263 -
       1 = 9.223372e+18) cells.
       In  some	situations, the	region size (number of cells) may be too large
       for the amount of time or memory	 available.  Running  r.watershed  may
       then  require  use  of  a  coarser resolution. To make the results more
       closely resemble	the finer terrain data,	create a map layer  containing
       the lowest elevation values at the coarser resolution. This is done by:
       1) Setting the current geographic region	equal  to  the	elevation  map
       layer  with g.region, and 2) Use	the r.neighbors	or r.resamp.stats com-
       mand to find the	lowest value for an area equal in size to the  desired
       resolution.  For	example, if the	resolution of the elevation data is 30
       meters and the resolution of the	geographic region for r.watershed will
       be 90 meters: use the minimum function for a 3 by 3 neighborhood. After
       changing	to the resolution at which r.watershed will be	run,  r.water-
       shed  should  be	 run using the values from the neighborhood output map
       layer that represents the minimum elevation within the  region  of  the
       coarser cell.

   Basin threshold
       The  minimum  size of drainage basins, defined by the threshold parame-
       ter, is only relevant for those watersheds with a single	stream	having
       at least	the threshold of cells flowing into it.	 (These	watersheds are
       called exterior basins.)	 Interior drainage basins contain stream  seg-
       ments  below  multiple tributaries.  Interior drainage basins can be of
       any size	because	the length of an interior stream segment is determined
       by the distance between the tributaries flowing into it.

   MASK	and no data
       The  r.watershed	 program does not require the user to have the current
       geographic region filled	with elevation values.	Areas  without	eleva-
       tion  data  (masked  or NULL cells) are ignored.	It is NOT necessary to
       create a	raster map (or raster reclassification)	named  MASK  for  NULL
       cells.  Areas without elevation data will be treated as if they are off
       the edge	of the region. Such areas will reduce the memory necessary  to
       run  the	 program.  Masking out unimportant areas can significantly re-
       duce processing time if the watersheds of interest occupy a small  per-
       centage of the overall area.

       Gaps (NULL cells) in the	elevation map that are located within the area
       of interest will	heavily	influence the analysis:	water will  flow  into
       but  not	 out of	these gaps. These gaps must be filled beforehand, e.g.
       with r.fillnulls.

       Zero (0)	and negative values will be treated  as	 elevation  data  (not
       no_data).

   Further processing of output	layers
       Problem	areas, i.e. those parts	of a basin with	a likely underestimate
       of flow accumulation, can be easily identified with e.g.
	 r.mapcalc "problems = if(flow_acc < 0,	basin, null())"
       If the region of	interest contains such problem areas, and this is  not
       desired,	 the computational region must be expanded until the catchment
       area for	the region of interest is completely included.

       To isolate an individual	river network using the	output of this module,
       a number	of approaches may be considered.

       1      Use a resample of	the basins catchment raster map	as a MASK.
	      The  equivalent  vector  map method is similar using v.select or
	      v.overlay.

       2      Use the r.cost module with a point in the	river  as  a  starting
	      point.

       3      Use  the v.net.iso module	with a node in the river as a starting
	      point.

       All individual river networks in	the  stream  segments  output  can  be
       identified  through  their ultimate outlet points. These	points are all
       cells in	the stream segments output with	negative  drainage  direction.
       These  points  can  be  used  as	 start	points	for  r.water.outlet or
       v.net.iso.

       To create river mile segmentation from a	vectorized  streams  map,  try
       the v.net.iso or	v.lrs.segment modules.

       The stream segments output can be easily	vectorized after thinning with
       r.thin. Each stream segment in the vector map will have	the  value  of
       the  associated	basin.	To  isolate subbasins and streams for a	larger
       basin, a	MASK for the larger basin can be created with  r.water.outlet.
       The  stream segments output serves as a guide where to place the	outlet
       point used as input to r.water.outlet.  The basin threshold  must  have
       been  sufficiently  small  to  isolate  a  stream network and subbasins
       within the larger basin.

       Given that the drainage	is  8  directions  numbered  counter-clockwise
       starting	 from  1 in north-east direction, multiplying the output by 45
       (by 45. to get a	double precision floating point	raster map  in	r.map-
       calc)  gives  the  directions  in degrees. For most applications, zeros
       which indicate depressions specified by depression and negative	values
       which  indicate	runoff	leaving	 the region should be replaced by NULL
       (null() in r.mapcalc).  The following command performs  these  replace-
       ments:
       r.mapcalc "drainage_degrees = if(drainage > 0, 45. * drainage, null())"
       Alternatively, the user can use the -a flag or later the	abs() function
       in r.mapcalc if the runoff is leaving the region.

EXAMPLES
       These examples use the Spearfish	sample dataset.

   Convert r.watershed streams map output to a vector map
       If you want a detailed stream network, set the threshold	 option	 small
       to create lots of catchment basins, as only one stream is presented per
       catchment. The r.to.vect	-v flag	preserves the catchment	ID as the vec-
       tor category number.
	 r.watershed elev=elevation.dem	stream=rwater.stream
	 r.to.vect -v in=rwater.stream out=rwater_stream

       Set a different color table for the accumulation	map:
	 MAP=rwater.accum
	 r.watershed elev=elevation.dem	accum=$MAP
	 eval `r.univar	-g "$MAP"`
	 stddev_x_2=`echo $stddev | awk	'{print	$1 * 2}'`
	 stddev_div_2=`echo $stddev | awk '{print $1 / 2}'`
	 r.colors $MAP col=rules << EOF
	   0% red
	   -$stddev_x_2	red
	   -$stddev yellow
	   -$stddev_div_2 cyan
	   -$mean_of_abs blue
	   0 white
	   $mean_of_abs	blue
	   $stddev_div_2 cyan
	   $stddev yellow
	   $stddev_x_2 red
	   100%	red
	 EOF

       Create  a  more detailed	stream map using the accumulation map and con-
       vert it to a vector output map. The accumulation	cut-off, and therefore
       fractal	dimension, is arbitrary; in this example we use	the map's mean
       number of upstream catchment cells (calculated in the above example  by
       r.univar) as the	cut-off	value. This only works with SFD, not with MFD.
	 r.watershed elev=elevation.dem	accum=rwater.accum
	 r.mapcalc 'MASK = if(!isnull(elevation.dem))'
	 r.mapcalc "rwater.course = \
	  if( abs(rwater.accum)	> $mean_of_abs,	\
	      abs(rwater.accum), \
	      null() )"
	 r.colors -g rwater.course col=bcyr
	 g.remove -f type=raster name=MASK
	 # Thinning is required	before converting raster lines to vector
	 r.thin	in=rwater.course out=rwater.course.Thin
	 r.colors -gn rwater.course.Thin color=grey
	 r.to.vect in=rwater.course.Thin out=rwater_course type=line
	 v.db.dropcolumn map=rwater_course column=label

   Create watershed basins map and convert to a	vector polygon map
	 r.watershed elev=elevation.dem	basin=rwater.basin thresh=15000
	 r.to.vect -s in=rwater.basin out=rwater_basins	type=area
	 v.db.dropcolumn map=rwater_basins column=label
	 v.db.renamecolumn map=rwater_basins column=value,catchment

       Display output in a nice	way
	 r.relief map=elevation.dem
	 d.shade shade=elevation.dem.shade color=rwater.basin bright=40
	 d.vect	rwater_course color=orange

REFERENCES
	   o   Ehlschlaeger  C.	 (1989).  Using	the AT Search Algorithm	to De-
	       velop Hydrologic	Models from Digital Elevation  Data,  Proceed-
	       ings  of	 International	Geographic  Information	Systems	(IGIS)
	       Symposium '89, pp 275-281 (Baltimore, MD, 18-19 March 1989).
	       URL: http://chuck.ehlschlaeger.info/older/IGIS/paper.html

	   o   Holmgren	P. (1994).  Multiple  flow  direction  algorithms  for
	       runoff  modelling  in grid based	elevation models: An empirical
	       evaluation.  Hydrological Processes Vol 8(4), 327-334.
	       DOI: 10.1002/hyp.3360080405

	   o   Kinner D., Mitasova H., Harmon R., Toma L., Stallard R. (2005).
	       GIS-based  Stream Network Analysis for The Chagres River	Basin,
	       Republic	of Panama. The Rio Chagres: A  Multidisciplinary  Pro-
	       file of a Tropical Watershed, R.	Harmon (Ed.), Springer/Kluwer,
	       p.83-95.
	       URL: http://www4.ncsu.edu/~hmitaso/measwork/panama/panama.html

	   o   McCool et al. (1987). Revised Slope Steepness  Factor  for  the
	       Universal  Soil	Loss  Equation,	 Transactions  of the ASAE Vol
	       30(5).

	   o   Metz M.,	Mitasova H., Harmon R. (2011). Efficient extraction of
	       drainage	 networks  from	 massive, radar-based elevation	models
	       with least cost path search, Hydrol. Earth Syst.	Sci.  Vol  15,
	       667-678.
	       DOI: 10.5194/hess-15-667-2011

	   o   Moore  I.D.,  Grayson R.B., Ladson A.R. (1991). Digital terrain
	       modelling: a review of hydrogical, geomorphological,  and  bio-
	       logical applications, Hydrological Processes, Vol 5(1), 3-30
	       DOI: 10.1002/hyp.3360050103

	   o   Quinn  P.,  K. Beven K.,	Chevallier P., Planchon	O. (1991). The
	       prediction of hillslope flow paths for distributed hydrological
	       modelling  using	 Digital  Elevation  Models, Hydrological Pro-
	       cesses Vol 5(1),	p.59-79.
	       DOI: 10.1002/hyp.3360050106

	   o   Weltz M.	A., Renard K.G., Simanton J. R.	(1987).	 Revised  Uni-
	       versal Soil Loss	Equation for Western Rangelands, U.S.A./Mexico
	       Symposium of Strategies for Classification  and	Management  of
	       Native  Vegetation  for	Food Production	In Arid	Zones (Tucson,
	       AZ, 12-16 Oct. 1987).

SEE ALSO
	g.region, r.cost, r.drain, r.fillnulls,	r.flow,	 r.mask,  r.neighbors,
       r.param.scale,  r.resamp.interp,	r.terraflow, r.topidx, r.water.outlet,
       r.stream.extract

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

SOURCE CODE
       Available at: r.watershed source	code (history)

       Main index | Raster index | Topics index	| Keywords index  |  Graphical
       index | Full index

       A(C) 2003-2020 GRASS Development	Team, GRASS GIS	7.8.5 Reference	Manual

GRASS 7.8.5							r.watershed(1)

NAME | KEYWORDS | SYNOPSIS | DESCRIPTION | NOTES | EXAMPLES | REFERENCES | SEE ALSO | AUTHORS | SOURCE CODE

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