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cost surface, least cost path] +description: Generating a cumulative cost surface and least cost path with *r.walk* and *r.path* to model movement by walking across a landscape. +engine: jupyter +execute: + eval: false +Jupyter: python3 + +# © Michael Barton & Anna Petrosova 2025 +--- + +GRASS has sophisticated tools to model movement across terrain, including [***r.cost***](https://grass.osgeo.org/grass-stable/manuals/r.cost.html), [***r.walk***](https://grass.osgeo.org/grass-stable/manuals/r.walk.html), [***r.drain***](https://grass.osgeo.org/grass-stable/manuals/r.drain.html), and [***r.path***](https://grass.osgeo.org/grass-stable/manuals/r.path.html). In this tutorial, we will use ***r.walk*** and ***r.path*** to determine the best walking path to reach a destination, like a hospital. + +::: {.callout-note title="Dataset"} +This tutorial uses one of the standard GRASS demo data: flagstaff_arizona_usa. We will refer to place names in that data set, but it can be completed with any of the standard demo data sets for any region. We will use the *elevation* DEM, the *hospitals* vector points file (any other vector point file will serve), and the *landuse* raster map. + +This tutorial is designed so that you can complete it using the **GRASS GUI**, GRASS commands from the **console or terminal**, or using GRASS commands in a **Jupyter Notebook** environment. +::: + +::: {.callout-note title="Don't know how to get started?"} +If you are not sure how to get started with GRASS using its graphical user interface or using Python, checkout the tutorials [Get started with GRASS GIS GUI](../get_started/fast_track.qmd) and [Get started with GRASS & Python in Jupyter Notebooks](../get_started/fast_track_grass_and_python.qmd). +::: + +## What is a cost surface? + +::::: grid +::: g-col-6 +- A **cost surface** is a raster in which each cell represents the “cost” or difficulty to move across landscape. + +- A **cumulative cost surface** shows the total accumulated cost of moving from a starting point to a location. Cumulative cost surfaces are also used to find a **least cost path** between a location and the starting point. + +- GRASS [***r.walk***](https://grass.osgeo.org/grass-stable/manuals/r.walk.html) generates a cumulative cost surface using Naismith's rule for walking times where each cell has the value in **seconds** of the time it takes to walk from the start point to that cell. +::: + +::: g-col-6 +![cost surface](img_movement/GRASS_movement_0.webp){fig-align="right" width="100%"} +::: +::::: + +# Modeling movement with a cumulative cost surface +## Overview + +::::: grid +::: g-col-6 +1. Start with a **DEM of elevation** for topography to determine movement costs. + +2. Create a **friction map** with a value of 0 (or other vallues for additional movement costs). + +3. Select **start point(s)**. + +4. Create a **cost surface**. + +5. A **least cost** path can then be calculated between any point on the cost surface and the start point. +::: + +::: g-col-6 +![DEM](img_movement/GRASS_movement_1.webp) +::: +::::: + +## Friction map + +- The GRASS [*map calculator*](https://grass.osgeo.org/grass-stable/manuals/r.mapcalc.html) lets you create a map, alter a map or combine maps using **map algebra**. The map calculator can be used from a GUI or as a command. + +- Before you make a friction map, make sure the [**computational region**](https://grass.osgeo.org/grass-stable/manuals/g.region.html) matches the elevation map. + +- Create the *friction0* map with 0 in every cell. + +:::::: {.panel-tabset group="language"} +#### GUI + +::::: grid +::: g-col-6 +1. Add the *elevation* raster to the Layer Manager. + +2. Right click *elevation* in Layer Manager. + +3. Select **Set computational region from selected map**. + +4. Open the **Raster Map Calculator** from the top toolbar ("abacus" icon). + +5. Fill in the output map name as *friction0* and enter 0 in the expression field. + +6. Press Run. +::: + +::: g-col-6 +![Raster map calculator](img_movement/GRASS_movement_2.webp) +::: +::::: + +#### Command line + +1. Set the region to match the elevation map + +2. Create a friction map with a value of 0 in all cells that matches the extent and resolution of the elevation map + +```{python} +g.region raster=elevation +r.mapcalc "friction0 = 0" +``` + +#### Python + +1. Set the region to match the elevation map + +2. Create a friction map with a value of 0 in all cells that matches the extent and resolution of the elevation map + +```{python} +gs.run_command("g.region", raster="elevation") +gs.mapcalc("friction0 = 0") +``` +:::::: + +## Choose a start point + +- Now that we have a DEM map for terrain and a friction map, all we need for a cumulative cost surface is a start point: the point from which to calculate movement costs. + +- A start point can be a vector point, a raster cell, or even a pair of coordinates. + +- A cost surface in *r.walk* can have multiple start points. + +- We’ll make a start point from the Flagstaff Medical Center, found in the *hospitals* vector points file. + +:::::: {.panel-tabset group="language"} +#### GUI + +::::: grid +::: g-col-6 +Use the **Attribute Table Manager** for *hospitals*: + +1. Display *hospitals* map by adding it to the Layer Manager from Data Catalog. + +2. Right click and open the Attribute Table Manager. + +3. Select "Flagstaff Medical Center" record. + +4. Right click and select **Extract selected features** from the context menu. + +5. Name the new map *FMC* +::: + +::: g-col-6 +![data table tool for hospitals vector points map](img_movement/GRASS_movement_3.webp) + +![table row context menu](img_movement/GRASS_movement_4.webp){width="60%"} +::: +::::: + +#### Command line + +Use the v.extract tool to create a vector point map named *FMC* from the *hospitals* map. + +```{python} +v.extract input=hospitals type=point where="FACILITY_N = 'FLAGSTAFF MEDICAL CENTER'" output=FMC +``` + +#### Python + +Use the v.extract tool to create a vector point map named *FMC* from the *hospitals* map. + +```{python} +gs.run_command("v.extract", input="hospitals", type="point", where="FACILITY_N = 'FLAGSTAFF MEDICAL CENTER'", output="FMC") +``` +:::::: + +- Use the *d.vect* tool by double clicking FMC in the layer manager to display the point with a color and size to see it better + +![](img_movement/GRASS_movement_5.webp) + +## Generate the cumulative cost surface {#generate-cumulative-cost-surface} + +::::::::::::: {.panel-tabset group="language"} +#### GUI + +- Use the *r.walk* tool from the **Raster/Terrain Analysis** menu + +::::: grid +::: g-col-6 +1. Enter the **elevation map** ( *elevation* ), **friction map** ( *friction0* ), and **name of the cost surface** to create (FMC_cost_seconds) + +![](img_movement/GRASS_movement_6.webp){fig-align="left" width="100%"} +::: + +::: g-col-6 +2. Enter the name of a **directions map** ( *FMC_directions* ) to use for creating a least cost path. + +![](img_movement/GRASS_movement_7.webp){fig-align="left" width="100%"} +::: +::::: + +::::: grid +::: g-col-6 +3. Enter the **start point** ( *FMC* ). + +![](img_movement/GRASS_movement_8.webp){fig-align="left" width="100%"} +::: + +::: g-col-6 +4. Optional: control the **spatial extent** of cost surface. + +![](img_movement/GRASS_movement_9.webp) +::: +::::: + +::::: grid +::: g-col-6 +5. Optional: adjust **Movement parameter** settings. + +![](img_movement/GRASS_movement_10.webp){fig-align="left" width="100%"} +::: + +::: g-col-6 +6. Recommended: select **knight's move** for calculating cost and direction. + +![](img_movement/GRASS_movement_11.webp){fig-align="left" width="100%"} +::: +::::: + +::: {.callout-note title="Tip"} +Click the "copy" button to copy the GRASS command. You can save it in a text file for later reuse or to document your work. +::: + +#### Command line + +- Use the r.walk command to generate the cumulative cost surface. + +```{python} +r.walk elevation=elevation friction=friction0 output=FMC_cost_seconds outdir=FMC_directions start_points=FMC -k +``` + +#### Python + +- Use the r.walk command to generate the cumulative cost surface. + +```{python} +gs.run_command("r.walk", + elevation="elevation", + friction="friction0", + output="FMC_cost_seconds", + outdir="FMC_directions", + start_points="FMC", + flags="k") +``` +::::::::::::: + +## Cumulative cost surface map + +- Each raster cell value in the cost surface is the time in seconds to walk from FMC to that cell over the terrain of the Flagstaff DEM + +![](img_movement/GRASS_movement_12.webp) + +::: {.callout-note title="Tip"} +Tip: You can display the cumulative cost surface over a shaded relief map in the **layer manager** using the [*d.shade*](https://grass.osgeo.org/grass-stable/manuals/d.shade.html) tool and a relief map of *elevation* made with [*r.relief*](https://grass.osgeo.org/grass-stable/manuals/d.shade.html). +::: + +## Movement across a cumulative cost surface {#movement-across-cost-surface} + +- You can transform the walking time in seconds to hours by dividing the map by 3600 using the map calculator + +:::::: {.panel-tabset group="language"} +#### GUI + +::::: grid +::: g-col-6 +1. Open the map calculator. + +2. Enter the name of the new map of walking time in hours: *FMC_cost_hours*. + +3. Enter FMC_cost_seconds / 3600 into the expressions field + +4. Press Run. +::: + +::: g-col-6 +![](img_movement/GRASS_movement_13.webp){fig-align="left" width="100%"} +::: +::::: + +#### Command line + +```{python} +r.mapcalc "FMC_cost_hours = FMC_cost_seconds / 3600" +``` + +#### Python + +```{python} +gs.mapcalc("FMC_cost_hours = FMC_cost_seconds / 3600") +``` +:::::: + +------------------------------------------------------------------------ + +::::: grid +::: g-col-6 +- We can query or filter this hourly cumulative cost surface to areas of equivalent walking time. + +- For example, in the **layer manager** we can used the *d.rast* tool to show the area within a 2 hour walk of FMC and then set the opacity of the cost surface to 50% to see the underlying terrain\ +::: + +::: g-col-6 +![](img_movement/GRASS_movement_15.webp) +::: +::::: + +![Shaded area represents terrain reached within a 2 hour walk from FMC](img_movement/GRASS_movement_14.webp) + +# Least cost paths {#least-cost-path} +## Overview + +- We can also plot a **least cost path** (LCP), which is the least costly (shortest time) route between any point on the cumulative cost surface and FMC. + +- Imagine a stranded hiker NE of Flagstaff who has to walk to FMC. + +- What path would take the least time? + +![](img_movement/GRASS_movement_16.webp) + +## Generating a least cost path + +To create a LCP in GRASS, we will use [r.path](https://grass.osgeo.org/grass-stable/manuals/r.path.html) (also under the Raster/Terrain analysis menu). + +:::::::: {.panel-tabset group="language"} +#### GUI + +::::: grid +::: g-col-6 +1. Input the **directions map** (*FMC_directions*) we also made when we created the cumulative cost surface.\ + ![](img_movement/GRASS_movement_17.webp) +::: + +::: g-col-6 +2. Input the **coordinates of the hiker** as the starting point for the LCP. (We could also use a pre-defined vector point). + +![](img_movement/GRASS_movement_18.webp) +::: +::::: + +:::: grid +::: g-col-6 +3. Specify the **name of the output vector path map** (*LCP_cumulative*). + +![](img_movement/GRASS_movement_19.webp) +::: +:::: + +#### Command line + +```{python} +r.path input=FMC_directions format=auto vector_path=LCP_cumulative start_coordinates=477476,13914951 +``` + +#### Python + +```{python} +gs.run_command("r.path", + input="FMC_directions", + format="auto", + vector_path="LCP_cumulative", + start_coordinates=[477476, 13914951]) +``` +:::::::: + +## Least cost path generated + +- Here is the LCP result. + +![](img_movement/GRASS_movement_20.webp) + +# Adding a friction map to movement costs +## Overview + +- A **friction map** can be used to incorporate other factors than just terrain into creating a cumulative cost surface and modeling movement + +- The value of each cell in a friction map raster is the amount of walking time, in seconds/meter, *in addition to* the time needed because of terrain + +- We can **reclassify** the *landuse* map to create a friction map of the amount of extra time it would take to walk through different kinds of land cover + +![Reclassification of *landuse* to show major land cover types](img_movement/GRASS_movement_21.webp) + +## Reclassifying *landuse* to create a friction map + +A standard walking speed across flat terrain is about 5 km/hr = 0.72 sec/m. + +We might then estimate that it would take an additional + +- 3 sec/m to walk through dense pinyon-juniper woodland + +- 1 sec/m to cross conifer forest + +- 2 sec/m to wander through urban Flagstaff + +- 5 sec/m to clamber over lava fields + +- 10 sec/m to try and cross water + +We can create this friction map by reclassifying the *landuse* map using [*r.reclass*](https://grass.osgeo.org/grass-stable/manuals/r.reclass.html) to assign new friction values to the existing land cover categories. + +:::::: {.panel-tabset group="language"} +## GUI + +The [*r.reclass*](https://grass.osgeo.org/grass-stable/manuals/r.reclass.html) tool is found under the Raster/Change category… menu. + +::::: grid +::: g-col-6 +1. Enter *landuse* for the raster to be reclassified + +2. Enter *friction_reclassified* for the output reclassified map + +3. Enter the reclass rules directly in the text box or from a saved text file. Use and \* symbol to represent everything not covered by the specific reclass rules + + > 11 90 95 = 10 water + > 21 thru 24 = 2 urban + > 31 = 5 lava + > 41 thru 43 = 1 conifer forest + > 52 = 3 pinyon juniper woodland + > \* = 0 no friction + +::: + +::: g-col-6 +- This creates a new friction map named *friction_landcover* + +![](img_movement/GRASS_movement_22.webp) +::: +::::: + +## Command line + +```{python} +r.reclass input=landuse output=friction_landcover rules=- << EOF +11 90 95 = 10 water +21 thru 24 = 2 urban +31 = 5 lava +41 thru 43 = 1 conifer forest +52 = 3 pinyon juniper woodland +* = 0 no friction +EOF +``` + +## Python + +```{python} +rules = """\ +11 90 95 = 10 water +21 thru 24 = 2 urban +31 = 5 lava +41 thru 43 = 1 conifer forest +52 = 3 pinyon juniper woodland +* = 0 no friction +""" +gs.write_command("r.reclass", + input="landuse", + output="friction_landcover", + rules="-", + stdin=rules) +``` +:::::: + +![The reclassified friction map (*friction_landcover*)](img_movement/GRASS_movement_23.webp) + +## Modifying a cumulative cost surface with a friction map + +We can now create a new cumulative cost surface using this new friction map and convert it from seconds to hours, as we did before: + +::: {.panel-tabset group="language"} +#### GUI + +1. Follow the procedures in the [Generate the cumulative cost surface +section](#generate-cumulative-cost-surface) and substitute the new *friction_landcover* map for the *friction0* map used previously. + +2. Convert the cumulative cost surface to hours instead of seconds following the procedures in the [Movement across a cumulative cost surface section]({#movement-across-cost-surface}) + +#### Command line + +```{python} +r.walk elevation=elevation friction=friction_landcover output=FMC_vegcost_seconds outdir=FMC_vegcost_directions start_points=FMC -k +r.mapcalc "FMC_vegcost_hours = FMC_vegcost_seconds / 3600" +``` + +#### Python + +```{python} +gs.run_command("r.walk", + elevation="elevation", + friction="friction_landcover", + output="FMC_vegcost_seconds", + outdir="FMC_vegcost_directions", + start_points="FMC", + flags="k") +gs.mapcalc("FMC_vegcost_hours = FMC_vegcost_seconds / 3600") +``` +::: + + +![cumulative cost surface with additional friction from land cover](img_movement/GRASS_movement_24.webp) + +## Least cost paths and friction + +- We can create a new LCP from the stranded hiker to FMC over terrain where land cover also affects the cost of movement + +::: {.panel-tabset group="language"} +#### GUI + +1. Follow the procedures in the [Least cost path section](#least-cost-path), substituting the new direction map made along with the cumulative cost surface with land cover friction map. + +2. Give this new LCP the name *LCP_vegcost* to distinguish from the previous LCP. + +#### Command line + +```{python} +r.path input=FMC_vegcost_directions format=auto vector_path=LCP_vegcost start_coordinates=477476,13914951 +``` + +#### Python + +```{python} +gs.run_command("r.path", + input="FMC_vegcost_directions", + format="auto", + vector_path="LCP_vegcost", + start_coordinates=[477476, 13914951]) +``` +::: + + +- It takes more time to reach FMC if the hiker has to navigate dense vegetation as well as terrain. + +- In the map below, terrain colored by land cover, the original LCP with terrain only is shown by the blue line. The LCP with a land cover friction map is shown by the heavier yellow line + +![comparing LCP with terrain only and with land cover friction](img_movement/GRASS_movement_25.webp) +:::::: + +#### *© Michael Barton & Anna Petrosova 2025* diff --git a/content/tutorials/modeling_movement/img_movement/GRASS_movement_0.webp b/content/tutorials/modeling_movement/img_movement/GRASS_movement_0.webp new file mode 100644 index 0000000000000000000000000000000000000000..fdc1786977d3fb0c51950c45554e36b019b918a5 GIT binary patch literal 91734 zcmX`RQ;={yfGyg#ZQHiHzqW1Lwr$(CZQHhOoA;kNQ#Vz4N!5NxQhOn5DN2Zn%9;WK zsQnX?SC!{bhXMcqfcb9*0|V><0sOZ@5N!+ya6bZ)14tDDybr{ez?UvTT0}}n?XnF} zj|6FAyE+HyW#jYpyW6!=_Uv)mg#YmvH`)RAofHM#bN7<>$6oI#ak7hyw=D0nbnq&6 zCadh-WsSDT3G^9e4;9b<`2PGQ4CCcy-m}Q`H|g!x=QG9Y?1`@oe4$oO|D5;T6UIO8 z>GC}AS2gcog@~8gR`5U#__rA^gjsCgUu3P-4`V;h{H?udjH-`V@v*5Azga5VHsn@ax zxYy{H^%C|+H?2qg7PU-2*mv{C%0KJv@HVwjx7T;#v*!co$Nzix2mUzrW%l>quziRA z#s3pq2481?fq(RS`CIkN{ag5TyKMTS|J8HC`|*qY8~SUyb-Lz%S^GJAuY2Ne)cfzd zAD_R4cdxI#zq{YC!L_Ttzr5XI8xA^DL<8>Yre{+3&GzeNMU)f(mioatB?gAy7?twl zE8d!l&f7%rjIOGt$eC8H*AEgGwt}j|h=PX^^ z->PXei+yFB3-JMaf-TK{9fEq(K*wUztX(*@&ZIV>GTrW3iN>tT)P-_GPwguXSEiDyn^DrLo6NE8ka&lUb=!|5LIx1WgVyI)` zPdNEymsDt;kJN7t1dlM0)T*t+f*%-{Beza|UqvAdN%BuA*jcryzJ!CTgy zav9gO5!unqYi7S`h2#etzB`n3!j)%xqW*Wgvzg`o|Jwac4WfH~->WAyx!c|U~U3sYwCo~^J$+5kSRpHIf?dQMT)`F+5_)Kun8I8gp>PrfVu`4a4 z!#&1=S1h+_EZiEx*t~;cyJgk5VZHmrX&YXCDk!!}3iQa77MoU@EdA^pRK5KJhf14E z2k{V)_o4+rCfIuKpIh=6jV`#0Zuos;lwoRlz7G3

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zX1j38quA{wv6q9Mq&%NZfxOOrE+y7O<1GC)N($)W$DLrXICKaZ4;M(v^l`rr?I)^4 zmH7DW|CF0&;K$Rd)5HNCfuA{f)6aZ9U6qhxyv^Q0ONdP(p$~2` z<5`Nq=&q^wqgmAA<)mxG zmsnyfTF4_*YNbXDGipo_r|+KfBIH%IgsPx23NZ?`5D{{p*3Jl5|4e}J*EH5|!6C_K zu!yhIpNU1KSte9G1AE*^fe-C$%-7(?&QOV?rtGLWYr;LfvN|OoMks7)C>8zYDrS(* z1g>Pfn|SASN}8c(?(p$=?%Ypdge<{xnIv-ycf7>mp)Tt9auxj1wd<#DSQWI4_=A{m z=uI$>7f>az7NA*!ZDn!%_=z#rN%m=uf^8z2DTuZ~0Cb$ct3Mc`CvYSuP$I2MNF zpgM#3`T4(^CE%8~kYmgA{{dx--#`EW000000000005kv=UCr@~mj0%a#((E(N)nDc ZbR$K*QTz?8u`&(|biWl200000008!Ec}M^N literal 0 HcmV?d00001 From b2f378b55b0b2a28e8983cd564757d0e2f84204c Mon Sep 17 00:00:00 2001 From: cmbarton Date: Thu, 3 Apr 2025 11:24:33 -0700 Subject: [PATCH 02/12] formatting improvements Mainly added some spaces and line feeds for standardized markdown --- .../modeling_movement/GRASS_movement.qmd | 28 +++++++++++++++---- 1 file changed, 23 insertions(+), 5 deletions(-) diff --git a/content/tutorials/modeling_movement/GRASS_movement.qmd b/content/tutorials/modeling_movement/GRASS_movement.qmd index 9326c53..8292233 100644 --- a/content/tutorials/modeling_movement/GRASS_movement.qmd +++ b/content/tutorials/modeling_movement/GRASS_movement.qmd @@ -37,6 +37,7 @@ If you are not sure how to get started with GRASS using its graphical user inter ::::: grid ::: g-col-6 + - A **cost surface** is a raster in which each cell represents the “cost” or difficulty to move across landscape. - A **cumulative cost surface** shows the total accumulated cost of moving from a starting point to a location. Cumulative cost surfaces are also used to find a **least cost path** between a location and the starting point. @@ -50,10 +51,12 @@ If you are not sure how to get started with GRASS using its graphical user inter ::::: # Modeling movement with a cumulative cost surface + ## Overview ::::: grid ::: g-col-6 + 1. Start with a **DEM of elevation** for topography to determine movement costs. 2. Create a **friction map** with a value of 0 (or other vallues for additional movement costs). @@ -79,10 +82,12 @@ If you are not sure how to get started with GRASS using its graphical user inter - Create the *friction0* map with 0 in every cell. :::::: {.panel-tabset group="language"} + #### GUI ::::: grid ::: g-col-6 + 1. Add the *elevation* raster to the Layer Manager. 2. Right click *elevation* in Layer Manager. @@ -135,6 +140,7 @@ gs.mapcalc("friction0 = 0") - We’ll make a start point from the Flagstaff Medical Center, found in the *hospitals* vector points file. :::::: {.panel-tabset group="language"} + #### GUI ::::: grid @@ -183,12 +189,14 @@ gs.run_command("v.extract", input="hospitals", type="point", where="FACILITY_N = ## Generate the cumulative cost surface {#generate-cumulative-cost-surface} ::::::::::::: {.panel-tabset group="language"} + #### GUI - Use the *r.walk* tool from the **Raster/Terrain Analysis** menu ::::: grid ::: g-col-6 + 1. Enter the **elevation map** ( *elevation* ), **friction map** ( *friction0* ), and **name of the cost surface** to create (FMC_cost_seconds) ![](img_movement/GRASS_movement_6.webp){fig-align="left" width="100%"} @@ -271,10 +279,12 @@ Tip: You can display the cumulative cost surface over a shaded relief map in the - You can transform the walking time in seconds to hours by dividing the map by 3600 using the map calculator :::::: {.panel-tabset group="language"} + #### GUI ::::: grid ::: g-col-6 + 1. Open the map calculator. 2. Enter the name of the new map of walking time in hours: *FMC_cost_hours*. @@ -306,6 +316,7 @@ gs.mapcalc("FMC_cost_hours = FMC_cost_seconds / 3600") ::::: grid ::: g-col-6 + - We can query or filter this hourly cumulative cost surface to areas of equivalent walking time. - For example, in the **layer manager** we can used the *d.rast* tool to show the area within a 2 hour walk of FMC and then set the opacity of the cost surface to 50% to see the underlying terrain\ @@ -319,6 +330,7 @@ gs.mapcalc("FMC_cost_hours = FMC_cost_seconds / 3600") ![Shaded area represents terrain reached within a 2 hour walk from FMC](img_movement/GRASS_movement_14.webp) # Least cost paths {#least-cost-path} + ## Overview - We can also plot a **least cost path** (LCP), which is the least costly (shortest time) route between any point on the cumulative cost surface and FMC. @@ -334,10 +346,12 @@ gs.mapcalc("FMC_cost_hours = FMC_cost_seconds / 3600") To create a LCP in GRASS, we will use [r.path](https://grass.osgeo.org/grass-stable/manuals/r.path.html) (also under the Raster/Terrain analysis menu). :::::::: {.panel-tabset group="language"} + #### GUI ::::: grid ::: g-col-6 + 1. Input the **directions map** (*FMC_directions*) we also made when we created the cumulative cost surface.\ ![](img_movement/GRASS_movement_17.webp) ::: @@ -381,6 +395,7 @@ gs.run_command("r.path", ![](img_movement/GRASS_movement_20.webp) # Adding a friction map to movement costs + ## Overview - A **friction map** can be used to incorporate other factors than just terrain into creating a cumulative cost surface and modeling movement @@ -410,12 +425,14 @@ We might then estimate that it would take an additional We can create this friction map by reclassifying the *landuse* map using [*r.reclass*](https://grass.osgeo.org/grass-stable/manuals/r.reclass.html) to assign new friction values to the existing land cover categories. :::::: {.panel-tabset group="language"} + ## GUI The [*r.reclass*](https://grass.osgeo.org/grass-stable/manuals/r.reclass.html) tool is found under the Raster/Change category… menu. ::::: grid ::: g-col-6 + 1. Enter *landuse* for the raster to be reclassified 2. Enter *friction_reclassified* for the output reclassified map @@ -432,6 +449,7 @@ The [*r.reclass*](https://grass.osgeo.org/grass-stable/manuals/r.reclass.html) t ::: ::: g-col-6 + - This creates a new friction map named *friction_landcover* ![](img_movement/GRASS_movement_22.webp) @@ -477,10 +495,11 @@ gs.write_command("r.reclass", We can now create a new cumulative cost surface using this new friction map and convert it from seconds to hours, as we did before: ::: {.panel-tabset group="language"} + #### GUI 1. Follow the procedures in the [Generate the cumulative cost surface -section](#generate-cumulative-cost-surface) and substitute the new *friction_landcover* map for the *friction0* map used previously. +section](#generate-cumulative-cost-surface) and substitute the new *friction_landcover* map for the *friction0* map used previously. 2. Convert the cumulative cost surface to hours instead of seconds following the procedures in the [Movement across a cumulative cost surface section]({#movement-across-cost-surface}) @@ -505,7 +524,6 @@ gs.mapcalc("FMC_vegcost_hours = FMC_vegcost_seconds / 3600") ``` ::: - ![cumulative cost surface with additional friction from land cover](img_movement/GRASS_movement_24.webp) ## Least cost paths and friction @@ -513,11 +531,12 @@ gs.mapcalc("FMC_vegcost_hours = FMC_vegcost_seconds / 3600") - We can create a new LCP from the stranded hiker to FMC over terrain where land cover also affects the cost of movement ::: {.panel-tabset group="language"} + #### GUI -1. Follow the procedures in the [Least cost path section](#least-cost-path), substituting the new direction map made along with the cumulative cost surface with land cover friction map. +1. Follow the procedures in the [Least cost path section](#least-cost-path), substituting the new direction map made along with the cumulative cost surface with land cover friction map. -2. Give this new LCP the name *LCP_vegcost* to distinguish from the previous LCP. +2. Give this new LCP the name *LCP_vegcost* to distinguish from the previous LCP. #### Command line @@ -536,7 +555,6 @@ gs.run_command("r.path", ``` ::: - - It takes more time to reach FMC if the hiker has to navigate dense vegetation as well as terrain. - In the map below, terrain colored by land cover, the original LCP with terrain only is shown by the blue line. The LCP with a land cover friction map is shown by the heavier yellow line From bb0cb49710e6ad12a5ae8720a5207c3bb9df2924 Mon Sep 17 00:00:00 2001 From: Michael Barton Date: Tue, 8 Apr 2025 09:08:26 -0700 Subject: [PATCH 03/12] Update content/tutorials/modeling_movement/GRASS_movement.qmd Co-authored-by: Veronica Andreo --- content/tutorials/modeling_movement/GRASS_movement.qmd | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/content/tutorials/modeling_movement/GRASS_movement.qmd b/content/tutorials/modeling_movement/GRASS_movement.qmd index 8292233..36c9823 100644 --- a/content/tutorials/modeling_movement/GRASS_movement.qmd +++ b/content/tutorials/modeling_movement/GRASS_movement.qmd @@ -1,6 +1,6 @@ --- title: "Modeling Movement in GRASS" -author: "Michael Barton & Anna Petrosova" +author: "Michael Barton & Anna Petrasova" date: 2025-02-10 date-modified: today format: From 99c4dbede18ab47a761c723aca050cb589e7aada Mon Sep 17 00:00:00 2001 From: Michael Barton Date: Tue, 8 Apr 2025 09:08:52 -0700 Subject: [PATCH 04/12] Update content/tutorials/modeling_movement/GRASS_movement.qmd Co-authored-by: Veronica Andreo --- content/tutorials/modeling_movement/GRASS_movement.qmd | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/content/tutorials/modeling_movement/GRASS_movement.qmd b/content/tutorials/modeling_movement/GRASS_movement.qmd index 36c9823..e5aeb8f 100644 --- a/content/tutorials/modeling_movement/GRASS_movement.qmd +++ b/content/tutorials/modeling_movement/GRASS_movement.qmd @@ -21,7 +21,7 @@ Jupyter: python3 # © Michael Barton & Anna Petrosova 2025 --- -GRASS has sophisticated tools to model movement across terrain, including [***r.cost***](https://grass.osgeo.org/grass-stable/manuals/r.cost.html), [***r.walk***](https://grass.osgeo.org/grass-stable/manuals/r.walk.html), [***r.drain***](https://grass.osgeo.org/grass-stable/manuals/r.drain.html), and [***r.path***](https://grass.osgeo.org/grass-stable/manuals/r.path.html). In this tutorial, we will use ***r.walk*** and ***r.path*** to determine the best walking path to reach a destination, like a hospital. +GRASS has sophisticated tools to model movement across terrain, including [r.cost](https://grass.osgeo.org/grass-stable/manuals/r.cost.html), [r.walk](https://grass.osgeo.org/grass-stable/manuals/r.walk.html), [r.drain](https://grass.osgeo.org/grass-stable/manuals/r.drain.html), and [r.path](https://grass.osgeo.org/grass-stable/manuals/r.path.html). In this tutorial, we will use ***r.walk*** and ***r.path*** to determine the best walking path to reach a destination, like a hospital. ::: {.callout-note title="Dataset"} This tutorial uses one of the standard GRASS demo data: flagstaff_arizona_usa. We will refer to place names in that data set, but it can be completed with any of the standard demo data sets for any region. We will use the *elevation* DEM, the *hospitals* vector points file (any other vector point file will serve), and the *landuse* raster map. From 1285d0da232a78674ada32650c4bf585200d8c24 Mon Sep 17 00:00:00 2001 From: Michael Barton Date: Tue, 8 Apr 2025 09:09:24 -0700 Subject: [PATCH 05/12] Update content/tutorials/modeling_movement/GRASS_movement.qmd Co-authored-by: Veronica Andreo --- content/tutorials/modeling_movement/GRASS_movement.qmd | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/content/tutorials/modeling_movement/GRASS_movement.qmd b/content/tutorials/modeling_movement/GRASS_movement.qmd index e5aeb8f..ddbf9d8 100644 --- a/content/tutorials/modeling_movement/GRASS_movement.qmd +++ b/content/tutorials/modeling_movement/GRASS_movement.qmd @@ -42,7 +42,7 @@ If you are not sure how to get started with GRASS using its graphical user inter - A **cumulative cost surface** shows the total accumulated cost of moving from a starting point to a location. Cumulative cost surfaces are also used to find a **least cost path** between a location and the starting point. -- GRASS [***r.walk***](https://grass.osgeo.org/grass-stable/manuals/r.walk.html) generates a cumulative cost surface using Naismith's rule for walking times where each cell has the value in **seconds** of the time it takes to walk from the start point to that cell. +- GRASS [r.walk](https://grass.osgeo.org/grass-stable/manuals/r.walk.html) tool generates a cumulative cost surface using Naismith's rule for walking times where each cell has the value in **seconds** of the time it takes to walk from the start point to that cell. ::: ::: g-col-6 From ccefd4a2ccfd8fc3144406a0570987e3271607c1 Mon Sep 17 00:00:00 2001 From: Michael Barton Date: Tue, 8 Apr 2025 09:10:10 -0700 Subject: [PATCH 06/12] Update content/tutorials/modeling_movement/GRASS_movement.qmd Co-authored-by: Veronica Andreo --- content/tutorials/modeling_movement/GRASS_movement.qmd | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/content/tutorials/modeling_movement/GRASS_movement.qmd b/content/tutorials/modeling_movement/GRASS_movement.qmd index ddbf9d8..c35cf17 100644 --- a/content/tutorials/modeling_movement/GRASS_movement.qmd +++ b/content/tutorials/modeling_movement/GRASS_movement.qmd @@ -59,7 +59,7 @@ If you are not sure how to get started with GRASS using its graphical user inter 1. Start with a **DEM of elevation** for topography to determine movement costs. -2. Create a **friction map** with a value of 0 (or other vallues for additional movement costs). +2. Create a **friction map** with a value of 0 (or other values for additional movement costs). 3. Select **start point(s)**. From b7ca1fcf6776d3b8a36a400e63500b27432bce98 Mon Sep 17 00:00:00 2001 From: Michael Barton Date: Tue, 8 Apr 2025 09:10:39 -0700 Subject: [PATCH 07/12] Update content/tutorials/modeling_movement/GRASS_movement.qmd Co-authored-by: Veronica Andreo --- content/tutorials/modeling_movement/GRASS_movement.qmd | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/content/tutorials/modeling_movement/GRASS_movement.qmd b/content/tutorials/modeling_movement/GRASS_movement.qmd index c35cf17..0e311f8 100644 --- a/content/tutorials/modeling_movement/GRASS_movement.qmd +++ b/content/tutorials/modeling_movement/GRASS_movement.qmd @@ -75,7 +75,7 @@ If you are not sure how to get started with GRASS using its graphical user inter ## Friction map -- The GRASS [*map calculator*](https://grass.osgeo.org/grass-stable/manuals/r.mapcalc.html) lets you create a map, alter a map or combine maps using **map algebra**. The map calculator can be used from a GUI or as a command. +- The GRASS [map calculator](https://grass.osgeo.org/grass-stable/manuals/r.mapcalc.html) lets you create a map, alter a map, or combine maps using **map algebra**. The map calculator can be used from the GUI or as a command. - Before you make a friction map, make sure the [**computational region**](https://grass.osgeo.org/grass-stable/manuals/g.region.html) matches the elevation map. From 2333379601242411b905052b24775c546c7bf2f0 Mon Sep 17 00:00:00 2001 From: Michael Barton Date: Tue, 8 Apr 2025 09:11:01 -0700 Subject: [PATCH 08/12] Update content/tutorials/modeling_movement/GRASS_movement.qmd Co-authored-by: Veronica Andreo --- content/tutorials/modeling_movement/GRASS_movement.qmd | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/content/tutorials/modeling_movement/GRASS_movement.qmd b/content/tutorials/modeling_movement/GRASS_movement.qmd index 0e311f8..a897eef 100644 --- a/content/tutorials/modeling_movement/GRASS_movement.qmd +++ b/content/tutorials/modeling_movement/GRASS_movement.qmd @@ -271,7 +271,7 @@ gs.run_command("r.walk", ![](img_movement/GRASS_movement_12.webp) ::: {.callout-note title="Tip"} -Tip: You can display the cumulative cost surface over a shaded relief map in the **layer manager** using the [*d.shade*](https://grass.osgeo.org/grass-stable/manuals/d.shade.html) tool and a relief map of *elevation* made with [*r.relief*](https://grass.osgeo.org/grass-stable/manuals/d.shade.html). +Tip: You can display the cumulative cost surface over a shaded relief map in the **layer manager** using the [d.shade](https://grass.osgeo.org/grass-stable/manuals/d.shade.html) tool and a relief map of *elevation* made with [r.relief](https://grass.osgeo.org/grass-stable/manuals/d.shade.html). ::: ## Movement across a cumulative cost surface {#movement-across-cost-surface} From b6ba945462bedb82ea04f10b08003cf7201ec502 Mon Sep 17 00:00:00 2001 From: Michael Barton Date: Tue, 8 Apr 2025 09:11:19 -0700 Subject: [PATCH 09/12] Update content/tutorials/modeling_movement/GRASS_movement.qmd Co-authored-by: Veronica Andreo --- content/tutorials/modeling_movement/GRASS_movement.qmd | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/content/tutorials/modeling_movement/GRASS_movement.qmd b/content/tutorials/modeling_movement/GRASS_movement.qmd index a897eef..5a985b6 100644 --- a/content/tutorials/modeling_movement/GRASS_movement.qmd +++ b/content/tutorials/modeling_movement/GRASS_movement.qmd @@ -428,7 +428,7 @@ We can create this friction map by reclassifying the *landuse* map using [*r.rec ## GUI -The [*r.reclass*](https://grass.osgeo.org/grass-stable/manuals/r.reclass.html) tool is found under the Raster/Change category… menu. +The [r.reclass](https://grass.osgeo.org/grass-stable/manuals/r.reclass.html) tool is found under the Raster/Change category… menu. ::::: grid ::: g-col-6 From a3b3146d9b5088b104d3829fd19a392371f5323d Mon Sep 17 00:00:00 2001 From: Michael Barton Date: Tue, 8 Apr 2025 11:22:47 -0700 Subject: [PATCH 10/12] Update content/tutorials/modeling_movement/GRASS_movement.qmd Co-authored-by: Veronica Andreo --- content/tutorials/modeling_movement/GRASS_movement.qmd | 2 -- 1 file changed, 2 deletions(-) diff --git a/content/tutorials/modeling_movement/GRASS_movement.qmd b/content/tutorials/modeling_movement/GRASS_movement.qmd index 5a985b6..9e1756f 100644 --- a/content/tutorials/modeling_movement/GRASS_movement.qmd +++ b/content/tutorials/modeling_movement/GRASS_movement.qmd @@ -17,8 +17,6 @@ engine: jupyter execute: eval: false Jupyter: python3 - -# © Michael Barton & Anna Petrosova 2025 --- GRASS has sophisticated tools to model movement across terrain, including [r.cost](https://grass.osgeo.org/grass-stable/manuals/r.cost.html), [r.walk](https://grass.osgeo.org/grass-stable/manuals/r.walk.html), [r.drain](https://grass.osgeo.org/grass-stable/manuals/r.drain.html), and [r.path](https://grass.osgeo.org/grass-stable/manuals/r.path.html). In this tutorial, we will use ***r.walk*** and ***r.path*** to determine the best walking path to reach a destination, like a hospital. From e746121158e2026530c6539412ccb09121a50f16 Mon Sep 17 00:00:00 2001 From: Michael Barton Date: Tue, 8 Apr 2025 11:23:09 -0700 Subject: [PATCH 11/12] Update content/tutorials/modeling_movement/GRASS_movement.qmd Co-authored-by: Veronica Andreo --- content/tutorials/modeling_movement/GRASS_movement.qmd | 1 - 1 file changed, 1 deletion(-) diff --git a/content/tutorials/modeling_movement/GRASS_movement.qmd b/content/tutorials/modeling_movement/GRASS_movement.qmd index 9e1756f..fc05396 100644 --- a/content/tutorials/modeling_movement/GRASS_movement.qmd +++ b/content/tutorials/modeling_movement/GRASS_movement.qmd @@ -560,4 +560,3 @@ gs.run_command("r.path", ![comparing LCP with terrain only and with land cover friction](img_movement/GRASS_movement_25.webp) :::::: -#### *© Michael Barton & Anna Petrosova 2025* From d9902e4327a6e87eb0b3f82006e56ac0add431c1 Mon Sep 17 00:00:00 2001 From: Michael Barton Date: Tue, 8 Apr 2025 11:26:52 -0700 Subject: [PATCH 12/12] Update GRASS_movement.qmd with copyright and funding sections in front matter --- content/tutorials/modeling_movement/GRASS_movement.qmd | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/content/tutorials/modeling_movement/GRASS_movement.qmd b/content/tutorials/modeling_movement/GRASS_movement.qmd index fc05396..c2ce722 100644 --- a/content/tutorials/modeling_movement/GRASS_movement.qmd +++ b/content/tutorials/modeling_movement/GRASS_movement.qmd @@ -17,6 +17,11 @@ engine: jupyter execute: eval: false Jupyter: python3 +copyright: + holder: Michael Barton & Anna Petrasova + year: 2025 +funding: "Creation of this tutorial was supported in part by US National Science Foundation grant FAIN 2303651." + --- GRASS has sophisticated tools to model movement across terrain, including [r.cost](https://grass.osgeo.org/grass-stable/manuals/r.cost.html), [r.walk](https://grass.osgeo.org/grass-stable/manuals/r.walk.html), [r.drain](https://grass.osgeo.org/grass-stable/manuals/r.drain.html), and [r.path](https://grass.osgeo.org/grass-stable/manuals/r.path.html). In this tutorial, we will use ***r.walk*** and ***r.path*** to determine the best walking path to reach a destination, like a hospital. @@ -558,5 +563,4 @@ gs.run_command("r.path", - In the map below, terrain colored by land cover, the original LCP with terrain only is shown by the blue line. The LCP with a land cover friction map is shown by the heavier yellow line ![comparing LCP with terrain only and with land cover friction](img_movement/GRASS_movement_25.webp) -::::::