Welcome to the slopes vignette, a type of long-form documentation/article that introduces the core functions and functionality of the slopes package.

Installation

You can install the released version of slopes from CRAN with:

install.packages("slopes")

Install the development version from GitHub with:

# install.packages("remotes")
remotes::install_github("ropensci/slopes")

Installation for DEM downloads

If you do not already have DEM data and want to make use of the package’s ability to download them using the ceramic package, install the package with suggested dependencies, as follows:

# install.packages("remotes")
remotes::install_github("ropensci/slopes", dependencies = "Suggests")

Furthermore, you will need to add a MapBox API key to be able to get DEM datasets, by signing up and registering for a key at https://account.mapbox.com/access-tokens/ and then following these steps:

usethis::edit_r_environ()
# Then add the following line to the file that opens:
# MAPBOX_API_KEY=xxxxx # replace XXX with your api key

Functions

Elevation

elevation_add() Take a linestring and add a third dimension (z) to its coordinates
elevation_get() Get elevation data from hosted maptile services (returns a SpatRaster)
elevation_extract() Extract elevations from coordinates

Slope calculation

slope_vector() Calculate the gradient of line segments from distance and elevation vectors
slope_distance() Calculate the slopes associated with consecutive distances and elevations
slope_distance_mean() Calculate the mean average slopes associated with consecutive distances and elevations
slope_distance_weighted() Calculate the slopes associated with consecutive distances and elevations, weighted by distance
slope_matrix() Calculate the slope of lines based on a DEM matrix
slope_matrix_mean() Calculate the mean slope of lines based on a DEM matrix
slope_matrix_weighted() Calculate the weighted mean slope of lines based on a DEM matrix
slope_raster() Calculate the slope of lines based on a raster DEM
slope_xyz() Calculate the slope of lines based on XYZ coordinates

Plotting

plot_slope() Plot slope data for a 3d linestring

Helper functions

sequential_dist() Calculate cumulative distances along a linestring
z_value() Extract Z coordinates from an sfc object
z_start() Get the starting Z coordinate
z_end() Get the ending Z coordinate
z_mean() Calculate the mean Z coordinate
z_max() Get the maximum Z coordinate
z_min() Get the minimum Z coordinate
z_elevation_change_start_end() Calculate the elevation change from start to end
z_direction() Determine the direction of slope (uphill/downhill)
z_cumulative_difference() Calculate the cumulative elevation difference

Examples

This section shows some basic examples of how to use the slopes package.

First, load the necessary packages and data:

library(slopes)
library(sf)
#> Linking to GEOS 3.14.1, GDAL 3.12.2, PROJ 9.7.1; sf_use_s2() is TRUE

# Load example data
data(lisbon_route)
dem_lisbon <- dem_lisbon()

Add elevation to a linestring

If you have a 2D linestring and a DEM, you can add elevation data to the linestring using elevation_add():

sf_linestring_xyz_local <- elevation_add(lisbon_route, dem = dem_lisbon)
head(sf::st_coordinates(sf_linestring_xyz_local))
#>              X         Y        Z L1
#> [1,] -88202.31 -105757.6 55.91552  1
#> [2,] -88201.67 -105762.3 55.52176  1
#> [3,] -88200.54 -105770.5 54.62495  1
#> [4,] -88199.42 -105778.7 50.82914  1
#> [5,] -88198.29 -105786.9 50.76749  1
#> [6,] -88205.89 -105786.3 49.22162  1

If you don’t have a local DEM, elevation_add() can download elevation data (this requires a MapBox API key and the ceramic package):

# Requires a MapBox API key and the ceramic package
# sf_linestring_xyz_mapbox = elevation_add(lisbon_route)
# head(sf::st_coordinates(sf_linestring_xyz_mapbox))

Calculate slope

Once you have a 3D linestring (with XYZ coordinates), you can calculate its average slope using slope_xyz():

slope <- slope_xyz(sf_linestring_xyz_local)
slope
#>          1 
#> 0.07817098

Plot elevation profile

You can visualize the elevation profile of a 3D linestring using plot_slope():

# ensure a palette and breaks exist
brks <- c(3, 6, 10, 20, 40, 100)
pal <- slopes_palette(length(brks) - 1)

plot_slope(sf_linestring_xyz_local, pal = pal, brks = brks)

Working with segments

The slopes package can also work with individual segments of a linestring. There are two ways to split a route into segments:

By vertex (native segments of the linestring)

route_to_segments() splits the route at every existing vertex, producing one 2-point segment per coordinate pair:

lisbon_route_xyz <- elevation_add(lisbon_route, dem = dem_lisbon())
lisbon_route_segments_xyz <- route_to_segments(lisbon_route_xyz)
lisbon_route_segments_xyz$slope <- slope_xyz(lisbon_route_segments_xyz)
summary(lisbon_route_segments_xyz$slope)
#>      Min.   1st Qu.    Median      Mean   3rd Qu.      Max.      NA's 
#> 0.0001026 0.0239350 0.0545492 0.0770948 0.1076402 0.4570354        24

plot(st_geometry(lisbon_route_segments_xyz),
  col = heat.colors(length(lisbon_route_segments_xyz$slope))[rank(lisbon_route_segments_xyz$slope)],
  lwd = 3, main = "Slope by vertex segments"
)

By fixed length (using stplanr)

stplanr::line_segment() splits the route into segments of a given length (e.g. 100 m). Elevation must be added after segmenting, since the new endpoints won’t have Z coordinates yet:

lisbon_route_100m <- stplanr::line_segment(lisbon_route, segment_length = 100)
lisbon_route_100m_xyz <- elevation_add(lisbon_route_100m, dem = dem_lisbon())
lisbon_route_100m_xyz$slope <- slope_xyz(lisbon_route_100m_xyz)
summary(lisbon_route_100m_xyz$slope)
#>    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
#> 0.01366 0.04364 0.06697 0.07822 0.11096 0.16180

plot(st_geometry(lisbon_route_100m_xyz),
  col = heat.colors(length(lisbon_route_100m_xyz$slope))[rank(lisbon_route_100m_xyz$slope)],
  lwd = 3, main = "Slope by 100 m segments"
)

This vignette provides a basic overview. For more detailed information and advanced use cases, please refer to the other vignettes and the function documentation.

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