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funbiogeo provides an easy way to upscale your site data to a coarser resolution. The idea is that you have any type of data at the site level (diversity metrics, environmental data, as well as site-species data) that you would like to work on or visualize at a coarser scale. The aggregation process can look daunting at first and be quite difficult to run. We explain in details, throughout this vignette, how to do so with the fb_aggregate_site_data() function. We’ll detail three use cases:

  1. Aggregating through a regular square grid
  2. Aggregating to irregular polygons (like countries, biomes, or any other shape )
  3. Aggregating using a raster grid

In all three cases, the aggregation can work on any data available at the site-level. This could be species richness, site-species data, or functional diversity metrics.

Preamble: getting site-level data

library("funbiogeo")
library("sf")
#> Linking to GEOS 3.12.1, GDAL 3.8.4, PROJ 9.4.0; sf_use_s2() is TRUE
library("ggplot2")

Let’s import our site by locations object, which describes the geographical locations of sites.

data("woodiv_locations")

woodiv_locations
#> Simple feature collection with 5366 features and 2 fields
#> Geometry type: POLYGON
#> Dimension:     XY
#> Bounding box:  xmin: 2630000 ymin: 1380000 xmax: 5040000 ymax: 2550000
#> Projected CRS: ETRS89-extended / LAEA Europe
#> First 10 features:
#>        site  country                       geometry
#> 1  26351755 Portugal POLYGON ((2630000 1750000, ...
#> 2  26351765 Portugal POLYGON ((2630000 1760000, ...
#> 4  26351955 Portugal POLYGON ((2630000 1950000, ...
#> 5  26351965 Portugal POLYGON ((2630000 1960000, ...
#> 6  26451755 Portugal POLYGON ((2640000 1750000, ...
#> 7  26451765 Portugal POLYGON ((2640000 1760000, ...
#> 8  26451775 Portugal POLYGON ((2640000 1770000, ...
#> 10 26451955 Portugal POLYGON ((2640000 1950000, ...
#> 11 26451965 Portugal POLYGON ((2640000 1960000, ...
#> 12 26451975 Portugal POLYGON ((2640000 1970000, ...

These sites are a collection of regular spatial polygons at a resolution of 10 km x 10 km over South Western Europe. Our site by locations object is an sf object, which means it’s a spatial object coupled with a data.frame.

For each site, we want to compute the species richness. We can do so by counting the species at each site with the function fb_count_species_by_site().

# Import site x species data
data("woodiv_site_species")

# Compute species richness
species_richness <- fb_count_species_by_site(woodiv_site_species)

head(species_richness)
#>       site n_species  coverage
#> 1 40552295        12 0.5000000
#> 2 39252405        12 0.5000000
#> 3 37752305        12 0.5000000
#> 4 39852255        12 0.5000000
#> 5 39152415        12 0.5000000
#> 6 39552415        11 0.4583333

Unfortunately, the fb_count_species_by_site() doesn’t output a spatial object but a data.frame with three columns: the identifier of the site, the number of species, and the proportion of species present at a given site. Before going any further let’s put species richness on the map with the function fb_map_site_data(). That function allows us to represent any arbitrary data at the site level by combining it with the site by locations object, and it shows a map of that data:

fb_map_site_data(woodiv_locations, species_richness, "n_species")

Now, from this site-level species richness, we would like to get the species richness at different scales. First, we’ll show how to aggregate on a coarser square grid, then at the country level, and then with a grid from a SpatRaster.

Aggregating through a square grid

Our initial sites are 10km by 10km, we want to aggregate using a grid with pixels of 300km by 300km. When aggregating with a such a grid, there are two possibilities: either you already have a defined grid as a spatial object or you generate one on the fly. Here we’ll generate the grid on the fly using the function st_make_grid() from the sf package.

Because our data are using a map projection with units in meters, we can directly specify the cellsize argument of st_make_grid(). The function the locations object as first argument, then a vector of two nubmers as the second argument defining the cell sizes. By default, the newly created grid will cover the same extent as in the input spatial data.

coarser_grid <- sf::st_make_grid(woodiv_locations, cellsize = c(300e3, 300e3))

head(coarser_grid)
#> Geometry set for 6 features 
#> Geometry type: POLYGON
#> Dimension:     XY
#> Bounding box:  xmin: 2630000 ymin: 1380000 xmax: 4430000 ymax: 1680000
#> Projected CRS: ETRS89-extended / LAEA Europe
#> First 5 geometries:
#> POLYGON ((2630000 1380000, 2930000 1380000, 293...
#> POLYGON ((2930000 1380000, 3230000 1380000, 323...
#> POLYGON ((3230000 1380000, 3530000 1380000, 353...
#> POLYGON ((3530000 1380000, 3830000 1380000, 383...
#> POLYGON ((3830000 1380000, 4130000 1380000, 413...

Because the coarser grid is an sfc object, we need to transform it to an sf object to be fully compatible with fb_aggregate_site_data(). We do so in the next chunk:

coarser_grid <- sf::st_as_sf(coarser_grid)

coarser_grid
#> Simple feature collection with 36 features and 0 fields
#> Geometry type: POLYGON
#> Dimension:     XY
#> Bounding box:  xmin: 2630000 ymin: 1380000 xmax: 5330000 ymax: 2580000
#> Projected CRS: ETRS89-extended / LAEA Europe
#> First 10 features:
#>                                 x
#> 1  POLYGON ((2630000 1380000, ...
#> 2  POLYGON ((2930000 1380000, ...
#> 3  POLYGON ((3230000 1380000, ...
#> 4  POLYGON ((3530000 1380000, ...
#> 5  POLYGON ((3830000 1380000, ...
#> 6  POLYGON ((4130000 1380000, ...
#> 7  POLYGON ((4430000 1380000, ...
#> 8  POLYGON ((4730000 1380000, ...
#> 9  POLYGON ((5030000 1380000, ...
#> 10 POLYGON ((2630000 1680000, ...

Now that we have a new grid, we can plot it with the original site locations data to make sure it is sensible, compared to what we wanted. We will do so using the geom_sf() function from ggplot2.

ggplot() +
  geom_sf(data = coarser_grid, aes(fill = "coarser")) +
  geom_sf(data = woodiv_locations, aes(fill = "original")) +
  # Color the grids
  scale_fill_manual(
    values = c(original = "darkorange", coarser = "darkmagenta")
  ) +
  theme_bw()

In orange, you see the original data grid of the data, while in purple is the coarser grid we defined over which we’ll aggregate the data.

We’re interested in knowing the occurrence of our Mediterranean plant species over each pixel of the coarser grid. To do this we’ll use the fb_aggregate_site_data() function from funbiogeo. It takes as first argument the site-locations object (including the column with the site ids), then the data that needs to be aggregated (with the site ids column), then the grid over which to aggregate the data, finally the last argument is the function to use to aggregate the data. By default, uses the mean() function and assumes quantitative site data only.

Because we’re interested in species richness, we’ll use the dataset we computed in the first section, that defines species richness at each site. We’ll use the fb_aggregate_site_data() function on our original site-locations object, with the species richness data, on the coarser grid, using the mean() function to get back the average species richness across sites per larger pixel.

coarser_richness <- fb_aggregate_site_data(
  woodiv_locations, species_richness, coarser_grid, fun = mean
)

head(coarser_richness)
#> Simple feature collection with 6 features and 2 fields
#> Geometry type: POLYGON
#> Dimension:     XY
#> Bounding box:  xmin: 2630000 ymin: 1380000 xmax: 4430000 ymax: 1680000
#> Projected CRS: ETRS89-extended / LAEA Europe
#>   n_species   coverage                       geometry
#> 1  1.700000 0.07083333 POLYGON ((2630000 1380000, ...
#> 2  2.690821 0.11211755 POLYGON ((2930000 1380000, ...
#> 3  1.795918 0.07482993 POLYGON ((3230000 1380000, ...
#> 4        NA         NA POLYGON ((3530000 1380000, ...
#> 5        NA         NA POLYGON ((3830000 1380000, ...
#> 6        NA         NA POLYGON ((4130000 1380000, ...

Note that the object we obtain is also an sf object of the same type as the grid we provided.

We can plot it using ggplot2:

ggplot(coarser_richness, aes(fill = n_species)) +
  geom_sf() +
  scale_fill_viridis_c() +
  theme_bw()

We see that the pixels of the North show the greatest average species richness, especially in the South of France.

Aggregating through irregular polygons

We aggregated our richness data on a regular grid with square pixels, but it is very common in biogeography to want to aggregate data on spatial objects that are of irregular shapes. For example, aggregating data at the biome or the country scale. Initially, our data may be on a regular grid, but we want to aggregate at the country scale. This is easily doable with the fb_aggregate_site_data() function.

The function actually works with any arbitrary sf object as aggregation grid whether it’s polygons regular or not, lines, points, or a mix of any geometries.

To show you how to do it, we’ll use the included spatial object for the four Mediterrannean countries covered by our example dataset:

# Load the file from the package folder
countries <- readRDS(
  system.file("extdata", "countries_sf.rds", package = "funbiogeo")
)

# Visualize the spatial object
ggplot(countries) +
  geom_sf(aes(fill = name)) +
  geom_sf(data = woodiv_locations, alpha = 1/2) +  # Add original data
  geom_sf_text(aes(label = name)) +
  theme_bw()

As we already have our aggregation object, here the countries delimitation, we can directly use the fb_aggregate_site_data() function on: the original locations, the species richness data, and the countries object, with the mean() function. As such, we’ll obtain the average species richness in Mediterrannean tree species per country. Note that all the sites that are not covered by the aggregation polygons (here the countries) are going to be dropped.

# Compute country-level average species richness
countries_richness <- fb_aggregate_site_data(
  woodiv_locations, species_richness, countries, fun = mean
)

# Map country-level average species richness
ggplot(countries_richness) +
  geom_sf(aes(fill = n_species)) +
  theme_bw()

We observe that France has a higher species richness than the other countries, with more than 5 species on average in the sites it harbors.

Aggregating through a SpatRaster grid

In the two previous sections we saw how to aggregate on arbitrary shaped polygons. However, another quite common use case, especially when working with species distribution model, is to want to aggregate data follow an environmental raster or a raster grid.

We would now like to aggregate our sites at the same resolution as is available for our environmental data such as mean annual temperature. We need to aggregate site data on a SpatRaster spatial grid (from the terra package). A nice property of fb_aggregate_site_data() function is that it outputs a matching type of object as the provided grid. If it’s an sf object than the function will output the same type of sf object, while if it’s a SpatRaster then it will give back a SpatRaster object.

First of all, we can create a coarser grid based on our locations object.

# Import study area grid
coarser_grid <- system.file("extdata", "grid_area.tif", package = "funbiogeo")
coarser_grid <- terra::rast(coarser_grid)

coarser_grid
#> class       : SpatRaster 
#> dimensions  : 29, 41, 1  (nrow, ncol, nlyr)
#> resolution  : 0.8333333, 0.8333333  (x, y)
#> extent      : -10.5, 23.66667, 35.83333, 60  (xmin, xmax, ymin, ymax)
#> coord. ref. : lon/lat WGS 84 (EPSG:4326) 
#> source      : grid_area.tif 
#> name        : value 
#> min value   :     1 
#> max value   :     1

We will aggregate the site data (resolution of 10 km by 10 km) to this new coarser raster (resolution of 0.83°, close to 92 km by 92km) with the function fb_aggregate_site_data(). This function requires the following arguments:

  • site_locations: the site x locations object
  • site_data: a matrix or data.frame containing values per sites to aggregate on the provided grid agg_geom. Can have one or several columns (variables to aggregate). The first column must contain sites names as provided in the object species_richness
  • agg_geom: a SpatRaster object (package terra). A raster of one single layer, that defines the grid along which to aggregate
  • fun: the function used to aggregate sites values when there are multiple sites in one cell (do we want to get the minimum value? the maximum? the sum? or the mean?)

Let’s compute our average species richness values across our grid.

# Upscale to grid ----
upscaled_richness <- fb_aggregate_site_data(
  site_locations = woodiv_locations[ , 1, drop = FALSE],
  site_data      = species_richness[ , 1:2],
  agg_geom       = coarser_grid,
  fun            = mean
)

upscaled_richness
#> class       : SpatRaster 
#> dimensions  : 29, 41, 1  (nrow, ncol, nlyr)
#> resolution  : 0.8333333, 0.8333333  (x, y)
#> extent      : -10.5, 23.66667, 35.83333, 60  (xmin, xmax, ymin, ymax)
#> coord. ref. : lon/lat WGS 84 (EPSG:4326) 
#> source(s)   : memory
#> varname     : grid_area 
#> name        : n_species 
#> min value   :         1 
#> max value   :        10

We get a SpatRaster object that is of the same resolution of our provided agg_geom raster grid. The cells of this raster contain the averaged values of species richness of our sites aggregated on the coarser grid. We can plot these values through a call to fb_map_raster() which allows to plot rasters.

fb_map_raster(upscaled_richness)

Specific examples

Coarsening site-species data

Through the fb_aggregate_site_data() function we can also coarsen our site-species grid by selecting the appropriate function as the fun argument, we detail how in this section.

Now that we’ve learned how to aggregate arbitrary data at the site scale over a spatial scale. We’re going to use our provided example named site_species at a resolution of 10 x 10 km to get new sites from a grid with pixels of 0.83° of resolution.

As shown in the previous section, we’ll need three objects: site_species, which describes the species present across sites; site_locations, which gives the spatial locations of sites; and agg_geom which is a SpatRaster object defining the coarser grid.

We’ll use the previously defined object to run our example. To aggregate the presence-absence of species within each pixel of the new grid, we’ll use the max() function (as the fun argument). As such, coarser pixels which contains a mix of presence and absence of certain species, we’ll be considered as having the species present. Only when the species is absent from all of the finer scale sites will the coarser pixel show the species as absent.

site_species_agg <- fb_aggregate_site_data(
  woodiv_locations[ , 1, drop = FALSE],
  woodiv_site_species,
  agg_geom = coarser_grid,
  fun = max
)

The return object is a SpatRaster as well but can be transformed easily in a data.frame to follow back with the regular analyses provided in funbiogeo. The new object contains one layer for each aggregated variable, i.e. here, one per species.

site_species_agg
#> class       : SpatRaster 
#> dimensions  : 29, 41, 24  (nrow, ncol, nlyr)
#> resolution  : 0.8333333, 0.8333333  (x, y)
#> extent      : -10.5, 23.66667, 35.83333, 60  (xmin, xmax, ymin, ymax)
#> coord. ref. : lon/lat WGS 84 (EPSG:4326) 
#> source(s)   : memory
#> varnames    : grid_area 
#>               grid_area 
#>               grid_area 
#>               ...
#> names       : AALB, ACEP, APIN, CLIB, CSEM, JCOM, ... 
#> min values  :    0,    0,    0,    0,    0,    0, ... 
#> max values  :    1,    1,    1,    0,    1,    1, ...

We can visualize both maps for a single species to see the difference in resolution :


single_species <- merge(
  woodiv_locations, woodiv_site_species[, 1:2], by = "site", all = TRUE
)

finer_map <- ggplot(single_species) +
  geom_sf(aes(fill = as.factor(AALB))) +
  labs(fill = "Presence of AALB", title = "Original resolution (10 x 10 km)")

coarser_map <- fb_map_raster(site_species_agg[[1]]) +
  scale_fill_binned(breaks = c(0, 0.5, 1)) +
  labs(title = "Coarser resolution (0.83°)")

patchwork::wrap_plots(finer_map, coarser_map, nrow = 1)

Obtaining back a site x species data.frame

Now we obtained a raster of aggregated site-species presences. However, the other functions of funbiogeo don’t play well with raster data. They need data.frames to work well. We can do this through the specific function as.data.frame() in terra (make sure to check the dedicated help page that specifies all the additional arguments with ?terra::as.data.frame).

# Use the 'cells = TRUE' argument to index results with a new cell column
# corresponding to the ID of the coarser grid pixels
site_species_agg_df <- terra::as.data.frame(site_species_agg, cells = TRUE)

site_species_agg_df[1:4, 1:4]
#>     cell AALB ACEP APIN
#> 755  755    0    0    0
#> 757  757    0    0    1
#> 758  758    1    0    0
#> 759  759    1    0    0

colnames(site_species_agg_df)[1] <- "site"

With this, we’re ready to reuse all of funbiogeo functions to work on these coarser data. You can proceed similarly to aggregate the ancillary site-related data, to use them in the rest of the analyses.

Upscaling functional diversity data

Because funbiogeo focuses on the functional biogeography workflow, we’ll explore in this section how to aggregate the results for a functional biogeography function. First, we’ll detail an example aggregating the community-weighted mean (CWM) of plant height, that is the abundance-weighted trait average of the assemblage. Second, we’ll show an example of coarsing functional diversity metrics computed through the fundiversity package.

Coarsen CWM of plant height

To compute the CWM we’ll use the function fb_cwm().

site_cwm <- fb_cwm(woodiv_site_species, woodiv_traits[, 1:2])

head(site_cwm)
#>       site        trait      cwm
#> 1 26351755 plant_height 12.31767
#> 2 26351765 plant_height  4.88150
#> 3 26351955 plant_height 12.31767
#> 4 26351965 plant_height 13.77575
#> 5 26451755 plant_height  4.88150
#> 6 26451765 plant_height 15.76845

Now we can aggregate the CWM of plant hieght at coarser scale using fb_aggregate_site_data() as done in the previous sections, this time using the default fun argument as we want to compute the average CWM:

colnames(site_cwm)[3] <- "plant_height"

upscaled_cwm <- fb_aggregate_site_data(
  woodiv_locations[ , 1, drop = FALSE],
  site_cwm[, c(1, 3)],
  coarser_grid
)

upscaled_cwm
#> class       : SpatRaster 
#> dimensions  : 29, 41, 1  (nrow, ncol, nlyr)
#> resolution  : 0.8333333, 0.8333333  (x, y)
#> extent      : -10.5, 23.66667, 35.83333, 60  (xmin, xmax, ymin, ymax)
#> coord. ref. : lon/lat WGS 84 (EPSG:4326) 
#> source(s)   : memory
#> varname     : grid_area 
#> name        : plant_height 
#> min value   :      4.88150 
#> max value   :     42.14307

We can then map the CWM using the fb_map_raster() function:

fb_map_raster(upscaled_cwm) +
  scale_fill_continuous(trans = "log10")

Coarser FRic through fundiversity

In a similar fashion as in the introduction vignette to funbiogeo in this section we’ll compute the Functional Richness using two traits across our example dataset.

# Get all species for which we have both adult body mass and litter size
subset_traits <- woodiv_traits[
  , c("species", "plant_height", "seed_mass")
]
subset_traits <- subset(
  subset_traits, !is.na(plant_height) & !is.na(seed_mass)
)

# Transform trait data
subset_traits[["plant_height"]] <- as.numeric(
  scale(log10(subset_traits[["plant_height"]]))
)

subset_traits[["seed_mass"]] <- as.numeric(
  scale(subset_traits[["seed_mass"]])
)

# Filter site for which we have trait information for than 80% of species
subset_site <- fb_filter_sites_by_trait_coverage(
  woodiv_site_species, subset_traits, 0.8
)

subset_site <- subset_site[, c("site", subset_traits$species)]

# Remove first column and convert in rownames
rownames(subset_traits) <- subset_traits[["species"]]
subset_traits <- subset_traits[, -1]

rownames(subset_site) <- subset_site[["site"]]
subset_site <- subset_site[, -1]

# Compute FRic
site_fric <- fundiversity::fd_fric(
  subset_traits, subset_site
)
#> Warning in fundiversity::fd_fric(subset_traits, subset_site): Some sites had
#> less species than traits so returned FRic is 'NA'

head(site_fric)
#>       site      FRic
#> 1 41152325 1.0964687
#> 2 40852325 1.1380385
#> 3 40852345 1.1523280
#> 4 42552105 0.8201878
#> 5 41152315 1.1380385
#> 6 37452365        NA

We can now follow a similar upscaling process as in the previous sections to compute the average functional richness at a coarser spatial scale:

agg_fric <- fb_aggregate_site_data(
  woodiv_locations[ , 1, drop = FALSE], 
  site_fric, 
  coarser_grid
)

fb_map_raster(agg_fric)
#> Warning: Raster pixels are placed at uneven horizontal intervals and will be shifted
#>  Consider using `geom_tile()` instead.