Geospatial data analysis in R

Relating vector data II

Josh Merfeld

KDI School

October 8, 2024

Distances

More distances

  • We have points for households

  • We have points for health facilities

  • We can calculate the distance between each household and each health facility

    • Finding distances between points is a common GIS task!

  • Make sure to call the libraries we’ll need!

    • tidyverse
    • terra
    • tidyterra

Distance matrix

  • The name of the households data is households.dta
    • This is a Stata dataset
    • You can read it using the package haven
  • Please go ahead and try loading the dataset and then turning it into a terra object
    • You’ll have to find the names of the columns that represent the coordinates

Distance matrix

Code 
# households
households <- read_dta("week4files/households.dta")
households <- vect(households, geom = c("ea_lon_mod", "ea_lat_mod"), crs = "EPSG:4326")
# health facilities
# do it in one line!
health <- vect(read_csv("week4files/points.csv"), geom = c("x", "y"), crs = "EPSG:4326")

Distance matrix

Code 
distances <- distance(households, health)
dim(households)
[1] 11290    42
Code 
dim(health)
[1] 155   1
Code 
dim(distances)
[1] 11290   155

Distance matrix - “Heat map”

Closest health facility by household

How did I create the map?

  • The distances object is a matrix
    • What are the rows and what are the columns?
  • If we want to find the closest health facility to each household, what do we need to do?
    • We need to find the minimum distance for each row
    • Do you remember?

Closest health facility by household

  • We can use the apply function!
    • But with "min" instead of "sum"
    • The rows are in the same order as the households, so…
Code 
distances <- distance(households, health)
closest <- apply(distances, 1, "min")

# they're in the same order!
households$closest <- closest

ggplot() + 
  geom_spatvector(data = households, aes(color = closest/1000), size = 0.5) +
  scale_color_distiller("Distances\n(km)", palette = "Spectral") +
  theme_bw()

Distances - points and polygons

  • What if we want to find the distance from points to polygons?

  • For example, what if we want to find the distance from the households to the two largest cities??

    • Lilongwe and Blantyre
Code 
households <- read_dta("week4files/households.dta")
households <- vect(households, geom = c("ea_lon_mod", "ea_lat_mod"), crs = "EPSG:4326")
# mw3
mw3 <- vect("week4files/mw3allcountry.shp")
mw3 <- mw3 |> filter(NAME_1 %in% c("Lilongwe", "Blantyre"))
mw3 <- aggregate(mw3, "ID_1")
table(mw3$ID_1)

 2 11 
 1  1

Distances - points and polygons

Distance matrix

Code 
# projected CRS
households <- project(households, "EPSG:20936")
mw3 <- project(mw3, "EPSG:20936")

# distance matrix!
distances <- distance(households, mw3, unit = "km")
distances
                [,1]        [,2]
    [1,] 651.9119139 418.5321086
    [2,] 651.9119139 418.5321086
    [3,] 651.9119139 418.5321086
    [4,] 651.9119139 418.5321086
    [5,] 651.9119139 418.5321086
    [6,] 651.9119139 418.5321086
    [7,] 651.9119139 418.5321086
    [8,] 651.9119139 418.5321086
    [9,] 651.9119139 418.5321086
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   [12,] 651.9119139 418.5321086
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   [14,] 651.9119139 418.5321086
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[11180,]   0.0000000 201.7959887
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[11290,]   0.0000000 199.4099173
  • So what do we do now?
Code 
# same thing!
distances <- apply(distances, 1, "min")
households$closest_city <- distances

Distances - points and polygons

Centroids

 class       : SpatVector 
 geometry    : points 
 dimensions  : 28, 17  (geometries, attributes)
 extent      : 33.05627, 35.69125, -16.74537, -9.951585  (xmin, xmax, ymin, ymax)
 coord. ref. : lon/lat WGS 84 (EPSG:4326) 
 names       :  ID_1 mean_ID_0 mean_ID_2 mean_ID_3 mean_CCN_3 mean_surveyobs
 type        : <int>     <num>     <num>     <num>      <num>          <num>
 values      :     1       135     2.516        47          0          3.785
                   2       135     8.062       150          0          6.372
                   3       135     20.06       266          0          2.958
   ISO NAME_0   NAME_1 NAME_2 (and 7 more)
 <chr>  <chr>    <chr>  <chr>             
   MWI Malawi   Balaka     NA             
   MWI Malawi Blantyre     NA             
   MWI Malawi Chikwawa     NA
  • Note that it is now points!

Centroids

Code 
ggplot() +
  geom_spatvector(data = mw3centroids) +
  geom_spatvector(data = mw3, fill = NA) +
  theme_bw()

Creating a Voronoi diagram

  • To create the diagram, we need to do the following:
    • Create the points that represent the points of interest (already done)
    • Create the entire spatial extent we want to cover (already done! just use adm3)
Code 
# mw3
mw3 <- vect("week4files/mw3allcountry.shp")
# first aggregate to ID_1
mw3 <- aggregate(mw3, "ID_1")
# create centroids
mw3centroids <- centroids(mw3)
# now aggregate mw3 to country level
mw3 <- aggregate(mw3)
# bnd stands for "boundary"
voronoi <- voronoi(mw3centroids, bnd = mw3)

Creating a Voronoi diagram

Code 
ggplot() +
  geom_spatvector(data = voronoi) +
  geom_spatvector(data = mw3centroids) +
  theme_bw()

The last bit

  • The last bit is to intersect the Voronoi polygons with Malawi to only show the areas of the country (and not the entire bounding box)
    • We’ll come back to this later!

More advanced operations

Let’s go over some more advanced operations

  • First up:
    • Spatial overlap

A grid in Korea - kgrid.zip

A grid in Korea - kgrid.zip

  • We will discuss how to make a grid after we learn about rasters

  • For now, the grid is a shapefile

  • A very common operation:

    • We want to know which province/city each grid cell is in
    • This isn’t straightforward. Why?
  • A grid cell can overlap multiple provinces/cities

The data

  • Here is the data:
    • kshape.shp is the shapefile of the provinces/cities
    • kgrid.shp is the grid
    • I have uploaded .zip files for both


Code 
kshape <- vect("week4files/kshape.shp")
kgrid <- vect("week4files/kgrid.shp")
kgrid
 class       : SpatVector 
 geometry    : polygons 
 dimensions  : 4906, 1  (geometries, attributes)
 extent      : 746110.3, 1306110, 1458754, 2068754  (xmin, xmax, ymin, ymax)
 source      : kgrid.shp
 coord. ref. : Korea 2000 / Unified CS (EPSG:5179) 
 names       :    id
 type        : <int>
 values      :    65
                  66
                  67

The intersect function from terra

  • We are going to use the intersect function

  • Here’s what it will do:

    • It will find the intersection of the grid cell and the province/city
    • Except, it will return a new feature for EACH overlap

  • Let’s look at some maps

The intersect function from terra

The intersect function from terra

Code 
kgrid
 class       : SpatVector 
 geometry    : polygons 
 dimensions  : 4906, 1  (geometries, attributes)
 extent      : 746110.3, 1306110, 1458754, 2068754  (xmin, xmax, ymin, ymax)
 source      : kgrid.shp
 coord. ref. : Korea 2000 / Unified CS (EPSG:5179) 
 names       :    id
 type        : <int>
 values      :    65
                  66
                  67
Code 
# Note: This takes a bit of time
intersection <- intersect(kgrid, kshape)
intersection
 class       : SpatVector 
 geometry    : polygons 
 dimensions  : 5546, 3  (geometries, attributes)
 extent      : 746110.3, 1304099, 1458754, 2068444  (xmin, xmax, ymin, ymax)
 coord. ref. : Korea 2000 / Unified CS (EPSG:5179) 
 names       :    id CTPRVN_CD CTP_ENG_NM
 type        : <int>     <chr>      <chr>
 values      :    65        51 Gangwon-do
                  66        51 Gangwon-do
                  67        51 Gangwon-do

One grid cell, multiple overlaps

One grid cell, multiple overlaps

Area of overlap

  • So what do we want to do?
    • Let’s find the area of overlap for each grid cell and each province/city
    • Then let’s take the LARGEST overlap and assign that to the grid cell
    • In practice, depending on the context, you could use a weighted mean or something else
Code 
# Get area of all overlaps
intersection$area <- expanse(intersection)
# turn it into a tibble
intersection <- as_tibble(intersection)
# Get the largest overlap
intersection <- intersection |> 
  group_by(id) |> 
  filter(area==max(area)) |> 
  ungroup()

Area of overlap

Code 
intersection
# A tibble: 4,906 × 4
      id CTPRVN_CD CTP_ENG_NM      area
   <int> <chr>     <chr>          <dbl>
 1    65 51        Gangwon-do   332498.
 2    66 51        Gangwon-do  3885964.
 3    67 51        Gangwon-do  1659454.
 4   193 51        Gangwon-do   477650.
 5   194 51        Gangwon-do 12783973.
 6   195 51        Gangwon-do 14674738.
 7   321 51        Gangwon-do   289674.
 8   322 51        Gangwon-do 14274204.
 9   323 51        Gangwon-do 22582297.
10   324 51        Gangwon-do   604121.
# ℹ 4,896 more rows
Code 
kgrid
 class       : SpatVector 
 geometry    : polygons 
 dimensions  : 4906, 1  (geometries, attributes)
 extent      : 746110.3, 1306110, 1458754, 2068754  (xmin, xmax, ymin, ymax)
 source      : kgrid.shp
 coord. ref. : Korea 2000 / Unified CS (EPSG:5179) 
 names       :    id
 type        : <int>
 values      :    65
                  66
                  67

Grids and provinces

Code 
# same order!
kgrid <- kgrid[match(intersection$id, kgrid$id),]
# double check that it worked
min(intersection$id==kgrid$id)
[1] 1
Code 
# now put the province name into the grid
kgrid$CTP_ENG_NM <- intersection$CTP_ENG_NM

Grids and provinces

Let’s practice

  • Getting used to this takes a lot of practice
    • So let’s practice together
  • Going to use the mw2.zip file
    • Just northern Malawi
  • Also going to use mwgrid.zip
    • Grid cells for northern Malawi
    • We want to know which district each grid cell is in

Malawi grid

Steps

  • Load the data
    • Both shapefiles
  • Make sure they are in the same CRS
  • Intersect them
  • Calculate the area of each intersection
    • Find the largest intersection for each grid cell
  • Assign the district for the largest intersection to each grid cell
  • Plot it!
    • With colors for districts

Steps 1 and 2: Load and CRS

Code 
mwgrid <- vect("week4files/mwgrid.shp")
mw2 <- vect("week4files/mw2.shp")
# just to be safe
mwgrid <- project(mwgrid, crs(mw2))

Step 3: Intersection

Code 
intersection <- intersect(mwgrid, mw2)
dim(mwgrid) # 1,237 features
[1] 1237    1
Code 
dim(intersection) # 1,383 features
[1] 1383    2

Step 4: Area (expanse)

Code 
intersection$area <- expanse(intersection)

# keep largest only
intersection <- intersection |> 
  group_by(id) |> 
  filter(area==max(area)) |> 
  ungroup()

Step 5: Assign district

Code 
# here's a different way to do it
mwgrid <- mwgrid |>
  arrange(id)
intersection <- intersection |>
  arrange(id)
# double check
min(mwgrid$id==intersection$id)
[1] 1
Code 
mwgrid$district <- intersection$DIST_CODE

Step 6: Plot it!

Code 
ggplot() +
  geom_spatvector(data = mwgrid, aes(fill = as.factor(district))) +
  scale_fill_brewer("District", palette = "Set3") +
  theme_bw()

Step 6: Plot it!

Distances - lines in polygons

  • Calculating distances of lines in polygons has a similar workflow

  • Can you think about how we’d do this?

  • Steps:
    • Create intersection of lines and polygons of interest
    • Calculate the length of the lines in EACH intersection
    • Aggregate lengths to polygons
    • Join to shapefile

Lines in polygons

  • Let’s go back to an example from a few weeks ago: roads in India
    • indiaprimaryroads.zip
  • Let’s figure out the total length of “primary roads” in India districts
    • india_2011_district.zip

Lines in polygons

Code 
indiaroads <- vect("week4files/indiaprimaryroads.shp")
indiadistricts <- vect("week4files/india_2011_district.shp")

ggplot() +
  geom_spatvector(data = indiaroads, color = "red") +
  geom_spatvector(data = indiadistricts, fill = NA) +
  theme_bw()

Lines in polygons

Calculate intersections

Code 
# Note: This can take some time
roadsint <- intersect(indiaroads, indiadistricts)

dim(indiaroads)
[1] 28170    10
Code 
dim(roadsint)
[1] 29749    16
  • What function do we use for length?
Code 
roadsint$length <- perim(roadsint)

Aggregate to district

  • Make sure to use the correct identifier!
Code 
roadsint <- roadsint |>
  as_tibble() |>
  group_by(cartodb_id) |>
  summarize(length = sum(length)) |>
  ungroup() |>
  # let's put it in km (default is m)
  mutate(length = length/1000)
  • How do we join it to the shapefile?

Aggregate to district

Code 
# need tidyterra for this!
indiadistricts <- indiadistricts |>
  left_join(roadsint, by = "cartodb_id")
# if missing? zero!
indiadistricts$length <- ifelse(is.na(indiadistricts$length), 0, indiadistricts$length)

# small note: you can also merge using terra::merge
# indiadistricts <- merge(indiadistricts, roadsint, by.x = c("cartodb_id"), by.y = c("cartodb_id"))

And plot it

Code 
ggplot() + 
  geom_spatvector(data = indiadistricts, aes(fill = length)) +
  scale_fill_distiller("Length of\nprimary roads\n(km)", palette = "Spectral") +
  theme_bw()

And plot it

Buffers

Buffers

  • I’ve used buffers for many things in the past!

  • The previous map shows coal plants in India

    • I’ve created a buffer of 50 km around each plant

  • What might we want to do with this buffer?

Buffers

  • Creating buffers is straightforward!
    • Let’s use the plants.zip file


Code 
plants <- vect("week4files/plants.shp")
# create buffer
plantsbuffer <- buffer(plants, 50000)
ggplot() + 
  geom_spatvector(data = plantsbuffer, fill = "black", alpha = 0.5) +
  geom_spatvector(data = indiadistricts, fill = NA, color = "gray") +
  theme_bw()

Practice!

  • Time to practice again!

  • I’d like you to find the length of roads within 50 km of each coal plant in India

    • Use the indiaprimaryroads.zip file
    • Use the plants.zip file

Step 1

Code 
plants <- vect("week4files/plants.shp")
# create buffer
plantsbuffer <- buffer(plants, 50000)

# roads
indiaroads <- vect("week4files/indiaprimaryroads.shp")
indiaroads <- project(indiaroads, crs(plants))
# intersection
roadsint <- intersect(indiaroads, plantsbuffer)

Step 2

Code 
roadsint$area <- perim(roadsint)
roadsint <- as_tibble(roadsint) |>
  group_by(unit_id) |>
  summarize(length = sum(area)) |>
  ungroup()

plantsbuffer <- plantsbuffer |>
  left_join(roadsint, by = c("unit_id"))

Plot it!

Code 
ggplot() + 
  geom_spatvector(data = plantsbuffer, aes(fill = length/1000)) +
  geom_spatvector(data = indiadistricts, fill = NA, color = "gray", alpha = 0.5) +
  scale_fill_distiller("Length of\nprimary roads\n(km)", palette = "Spectral") +
  theme_bw()

Plot it!

Back to our Voronoi diagram

  • We want to use intersect() to only show the areas of the country (and not the entire bounding box)
    • We’ll use the mw3 and voronoi objects

Back to our Voronoi diagram

Code 
# mw3
mw3 <- vect("week4files/mw3allcountry.shp")
# first aggregate to ID_1
mw3 <- aggregate(mw3, "ID_1")
# create centroids
mw3centroids <- centroids(mw3)
# now aggregate mw3 to country level
mw3 <- aggregate(mw3)
# bnd stands for "boundary"
voronoi <- voronoi(mw3centroids, bnd = mw3)
# why did I do it this way?
voronoi <- intersect(voronoi, mw3)

Back to our Voronoi diagram

Your turn

  • Please create a Voronoi diagram for coal plants in India

Back to our Voronoi diagram

Code 
# plants
plants <- vect("week4files/plants.shp")
# districts
indiadistricts <- vect("week4files/india_2011_district.shp")
indiadistricts <- project(indiadistricts, crs(plants))
# aggregate to india
india <- aggregate(indiadistricts)
# bnd stands for "boundary"
voronoi <- voronoi(plants, bnd = india)
# why did I do it this way?
voronoi <- intersect(voronoi, india)

Back to our Voronoi diagram

Extract

  • Some bad news: we’ve been doing some of this the hard way!
    • It was good practice, though.
  • For points, in particular, there’s a much easier way to extract information about polygons
    • The extract function

Extract

Code 
# plants
plants <- vect("week4files/plants.shp")
# districts
indiadistricts <- vect("week4files/india_2011_district.shp")
indiadistricts <- project(indiadistricts, crs(plants))
# note the order! 
plantsextract <- extract(indiadistricts, plants)
plants <- cbind(plants, plantsextract)
plants
 class       : SpatVector 
 geometry    : points 
 dimensions  : 1063, 8  (geometries, attributes)
 extent      : 2809657, 4967129, -1766500, 882923.1  (xmin, xmax, ymin, ymax)
 source      : plants.shp
 coord. ref. : Kalianpur 1975 / India zone I (EPSG:24378) 
 names       : unit_id  id.y cartodb_id censuscode dt_cen_cd st_cen_cd
 type        :   <chr> <num>      <int>      <int>     <int>     <int>
 values      : G100460     1        323        547        16        28
               G100500     2        409        550        19        28
               G100501     3        409        550        19        28
          st_nm        district
          <chr>           <chr>
 Andhra Pradesh         Krishna
 Andhra Pradesh Sri Potti Srir~
 Andhra Pradesh Sri Potti Srir~

Class exercise

Class exercise

  • Household data: households.dta

  • Hospitals: hospitals.csv

  • Tasks:

    • Find number of hospitals within 25km of each household
    • Create Voronoi polygons for hospitals
      • Only show the polygons within the country