# Manipulate Raster Data in R

## Overview

Teaching: 40 min
Exercises: 20 min
Questions
• How can I crop raster objects to vector objects, and extract the summary of raster pixels?

Objectives
• Crop a raster to the extent of a vector layer.

• Extract values from a raster that correspond to a vector file overlay.

## Things You’ll Need To Complete This Episode

See the lesson homepage for detailed information about the software, data, and other prerequisites you will need to work through the examples in this episode.

This episode explains how to crop a raster using the extent of a vector shapefile. We will also cover how to extract values from a raster that occur within a set of polygons, or in a buffer (surrounding) region around a set of points.

## Crop a Raster to Vector Extent

We often work with spatial layers that have different spatial extents. The spatial extent of a shapefile or R spatial object represents the geographic “edge” or location that is the furthest north, south east and west. Thus is represents the overall geographic coverage of the spatial object. Image Source: National Ecological Observatory Network (NEON)

The graphic below illustrates the extent of several of the spatial layers that we have worked with in this workshop:

• Area of interest (AOI) – blue
• Roads and trails – purple
• Vegetation plot locations (marked with white dots)– black
• A canopy height model (CHM) in GeoTIFF format – green Frequent use cases of cropping a raster file include reducing file size and creating maps. Sometimes we have a raster file that is much larger than our study area or area of interest. It is often more efficient to crop the raster to the extent of our study area to reduce file sizes as we process our data. Cropping a raster can also be useful when creating pretty maps so that the raster layer matches the extent of the desired vector layers.

## Crop a Raster Using Vector Extent

We can use the `crop()` function to crop a raster to the extent of another spatial object. To do this, we need to specify the raster to be cropped and the spatial object that will be used to crop the raster. R will use the `extent` of the spatial object as the cropping boundary.

To illustrate this, we will crop the Canopy Height Model (CHM) to only include the area of interest (AOI). Let’s start by plotting the full extent of the CHM data and overlay where the AOI falls within it. The boundaries of the AOI will be colored blue, and we use `fill = NA` to make the area transparent.

``````ggplot() +
geom_raster(data = CHM_HARV_df, aes(x = x, y = y, fill = HARV_chmCrop)) +
scale_fill_gradientn(name = "Canopy Height", colors = terrain.colors(10)) +
geom_sf(data = aoi_boundary_HARV, color = "blue", fill = NA) +
coord_sf()
`````` Now that we have visualized the area of the CHM we want to subset, we can perform the cropping operation. We are going to `crop()` function from the raster package to create a new object with only the portion of the CHM data that falls within the boundaries of the AOI.

``````CHM_HARV_Cropped <- crop(x = CHM_HARV, y = aoi_boundary_HARV)
``````

Now we can plot the cropped CHM data, along with a boundary box showing the full CHM extent. However, remember, since this is raster data, we need to convert to a data frame in order to plot using `ggplot`. To get the boundary box from CHM, the `st_bbox()` will extract the 4 corners of the rectangle that encompass all the features contained in this object. The `st_as_sfc()` converts these 4 coordinates into a polygon that we can plot:

``````CHM_HARV_Cropped_df <- as.data.frame(CHM_HARV_Cropped, xy = TRUE)

ggplot() +
geom_sf(data = st_as_sfc(st_bbox(CHM_HARV)), fill = "green",
color = "green", alpha = .2) +
geom_raster(data = CHM_HARV_Cropped_df,
aes(x = x, y = y, fill = HARV_chmCrop)) +
scale_fill_gradientn(name = "Canopy Height", colors = terrain.colors(10)) +
coord_sf()
`````` The plot above shows that the full CHM extent (plotted in green) is much larger than the resulting cropped raster. Our new cropped CHM now has the same extent as the `aoi_boundary_HARV` object that was used as a crop extent (blue border below).

``````ggplot() +
geom_raster(data = CHM_HARV_Cropped_df,
aes(x = x, y = y, fill = HARV_chmCrop)) +
geom_sf(data = aoi_boundary_HARV, color = "blue", fill = NA) +
scale_fill_gradientn(name = "Canopy Height", colors = terrain.colors(10)) +
coord_sf()
`````` We can look at the extent of all of our other objects for this field site.

``````st_bbox(CHM_HARV)
``````
``````   xmin    ymin    xmax    ymax
731453 4712471  733150 4713838
``````
``````st_bbox(CHM_HARV_Cropped)
``````
``````   xmin    ymin    xmax    ymax
732128 4713209  732251 4713359
``````
``````st_bbox(aoi_boundary_HARV)
``````
``````     xmin      ymin      xmax      ymax
732128.0 4713208.7  732251.1 4713359.2
``````
``````st_bbox(plot_locations_sp_HARV)
``````
``````     xmin      ymin      xmax      ymax
731405.3 4712845.0  732275.3 4713846.3
``````

Our plot location extent is not the largest but is larger than the AOI Boundary. It would be nice to see our vegetation plot locations plotted on top of the Canopy Height Model information.

## Challenge: Crop to Vector Points Extent

1. Crop the Canopy Height Model to the extent of the study plot locations.
2. Plot the vegetation plot location points on top of the Canopy Height Model.

``````CHM_plots_HARVcrop <- crop(x = CHM_HARV, y = plot_locations_sp_HARV)

CHM_plots_HARVcrop_df <- as.data.frame(CHM_plots_HARVcrop, xy = TRUE)

ggplot() +
geom_raster(data = CHM_plots_HARVcrop_df, aes(x = x, y = y, fill = HARV_chmCrop)) +
scale_fill_gradientn(name = "Canopy Height", colors = terrain.colors(10)) +
geom_sf(data = plot_locations_sp_HARV) +
coord_sf()
`````` In the plot above, created in the challenge, all the vegetation plot locations (black dots) appear on the Canopy Height Model raster layer except for one. One is situated on the blank space to the left of the map. Why?

A modification of the first figure in this episode is below, showing the relative extents of all the spatial objects. Notice that the extent for our vegetation plot layer (black) extends further west than the extent of our CHM raster (bright green). The `crop()` function will make a raster extent smaller, it will not expand the extent in areas where there are no data. Thus, the extent of our vegetation plot layer will still extend further west than the extent of our (cropped) raster data (dark green). ## Define an Extent

So far, we have used a shapefile to crop the extent of a raster dataset. Alternatively, we can also the `extent()` function to define an extent to be used as a cropping boundary. This creates a new object of class extent. Here we will provide the `extent()` function our xmin, xmax, ymin, and ymax (in that order).

``````new_extent <- extent(732161.2, 732238.7, 4713249, 4713333)
class(new_extent)
``````
`````` "Extent"
attr(,"package")
 "raster"
``````

## Data Tip

The extent can be created from a numeric vector (as shown above), a matrix, or a list. For more details see the `extent()` function help file (`?raster::extent`).

Once we have defined our new extent, we can use the `crop()` function to crop our raster to this extent object.

``````CHM_HARV_manual_cropped <- crop(x = CHM_HARV, y = new_extent)
``````

To plot this data using `ggplot()` we need to convert it to a dataframe.

``````CHM_HARV_manual_cropped_df <- as.data.frame(CHM_HARV_manual_cropped, xy = TRUE)
``````

Now we can plot this cropped data. We will show the AOI boundary on the same plot for scale.

``````ggplot() +
geom_sf(data = aoi_boundary_HARV, color = "blue", fill = NA) +
geom_raster(data = CHM_HARV_manual_cropped_df,
aes(x = x, y = y, fill = HARV_chmCrop)) +
scale_fill_gradientn(name = "Canopy Height", colors = terrain.colors(10)) +
coord_sf()
`````` ## Extract Raster Pixels Values Using Vector Polygons

Often we want to extract values from a raster layer for particular locations - for example, plot locations that we are sampling on the ground. We can extract all pixel values within 20m of our x,y point of interest. These can then be summarized into some value of interest (e.g. mean, maximum, total). To do this in R, we use the `extract()` function. The `extract()` function requires:

• The raster that we wish to extract values from,
• The vector layer containing the polygons that we wish to use as a boundary or boundaries,
• we can tell it to store the output values in a data frame using `df = TRUE`. (This is optional, the default is to return a list, NOT a data frame.) .

We will begin by extracting all canopy height pixel values located within our `aoi_boundary_HARV` polygon which surrounds the tower located at the NEON Harvard Forest field site.

``````tree_height <- extract(x = CHM_HARV, y = aoi_boundary_HARV, df = TRUE)

str(tree_height)
``````
``````'data.frame':	18450 obs. of  2 variables:
\$ ID          : num  1 1 1 1 1 1 1 1 1 1 ...
\$ HARV_chmCrop: num  21.2 23.9 23.8 22.4 23.9 ...
``````

When we use the `extract()` function, R extracts the value for each pixel located within the boundary of the polygon being used to perform the extraction - in this case the `aoi_boundary_HARV` object (a single polygon). Here, the function extracted values from 18,450 pixels.

We can create a histogram of tree height values within the boundary to better understand the structure or height distribution of trees at our site. We will use the column `layer` from our data frame as our x values, as this column represents the tree heights for each pixel.

``````ggplot() +
geom_histogram(data = tree_height, aes(x = HARV_chmCrop)) +
ggtitle("Histogram of CHM Height Values (m)") +
xlab("Tree Height") +
ylab("Frequency of Pixels")
``````
```````stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
`````` We can also use the `summary()` function to view descriptive statistics including min, max, and mean height values. These values help us better understand vegetation at our field site.

``````summary(tree_height\$HARV_chmCrop)
``````
``````   Min. 1st Qu.  Median    Mean 3rd Qu.    Max.
2.03   21.36   22.81   22.43   23.97   38.17
``````

## Summarize Extracted Raster Values

We often want to extract summary values from a raster. We can tell R the type of summary statistic we are interested in using the `fun =` argument. Let’s extract a mean height value for our AOI. Because we are extracting only a single number, we will not use the `df = TRUE` argument.

``````mean_tree_height_AOI <- extract(x = CHM_HARV, y = aoi_boundary_HARV, fun = mean)

mean_tree_height_AOI
``````
``````         [,1]
[1,] 22.43018
``````

It appears that the mean height value, extracted from our LiDAR data derived canopy height model is 22.43 meters.

## Extract Data using x,y Locations

We can also extract pixel values from a raster by defining a buffer or area surrounding individual point locations using the `extract()` function. To do this we define the summary argument (`fun = mean`) and the buffer distance (`buffer = 20`) which represents the radius of a circular region around each point. By default, the units of the buffer are the same units as the data’s CRS. All pixels that are touched by the buffer region are included in the extract. Source: National Ecological Observatory Network (NEON).

Let’s put this into practice by figuring out the mean tree height in the 20m around the tower location (`point_HARV`). Because we are extracting only a single number, we will not use the `df = TRUE` argument.

``````mean_tree_height_tower <- extract(x = CHM_HARV,
y = point_HARV,
buffer = 20,
fun = mean)

mean_tree_height_tower
``````
`````` 22.38812
``````

## Challenge: Extract Raster Height Values For Plot Locations

1) Use the plot locations object (`plot_locations_sp_HARV`) to extract an average tree height for the area within 20m of each vegetation plot location in the study area. Because there are multiple plot locations, there will be multiple averages returned, so the `df = TRUE` argument should be used.

2) Create a plot showing the mean tree height of each area.

``````# extract data at each plot location
mean_tree_height_plots_HARV <- extract(x = CHM_HARV,
y = plot_locations_sp_HARV,
buffer = 20,
fun = mean,
df = TRUE)

# view data
mean_tree_height_plots_HARV
``````
``````   ID HARV_chmCrop
1   1           NA
2   2     23.96708
3   3     22.35182
4   4     16.49719
5   5     21.55459
6   6     19.16891
7   7     20.61542
8   8     21.61490
9   9     12.23897
10 10     19.13231
11 11     21.36908
12 12     19.31904
13 13     17.25802
14 14     20.47314
15 15     12.68322
16 16     15.51574
17 17     18.90796
18 18     18.19454
19 19     19.67558
20 20     20.23258
21 21     20.44836
``````
``````# plot data
ggplot(data = mean_tree_height_plots_HARV, aes(ID, HARV_chmCrop)) +
geom_col() +
ggtitle("Mean Tree Height at each Plot") +
xlab("Plot ID") +
ylab("Tree Height (m)")
``````
``````Warning: Removed 1 rows containing missing values (position_stack).
`````` ## Key Points

• Use the `crop()` function to crop a raster object.

• Use the `extract()` function to extract pixels from a raster object that fall within a particular extent boundary.

• Use the `extent()` function to define an extent.