diff --git a/docs/src/tutorials/zonal.jl b/docs/src/tutorials/zonal.jl
index 81654b640..2cdd3ffa4 100644
--- a/docs/src/tutorials/zonal.jl
+++ b/docs/src/tutorials/zonal.jl
@@ -1,25 +1,22 @@
 # # Zonal statistics
 
-# In this tutorial, we will
+# In this tutorial, we will grab some bioclimatic variables for New Zealand, and
+# then identify the districts that have extreme values of this variable.
 
 using SpeciesDistributionToolkit
 using Statistics
 using CairoMakie
 CairoMakie.activate!(; type = "png", px_per_unit = 2) #hide
 
-#-
-
-spatial_extent = (left = 165.739746, bottom = -47.587547, right = 180.812988, top = -33.649514)
-
-#-
+# We will get the BIO19 layer from CHELSA2 (most precipitation in the coldest
+# quarter):
 
+spatial_extent =
+    (left = 165.739746, bottom = -47.587547, right = 180.812988, top = -33.649514)
 dataprovider = RasterData(CHELSA2, BioClim)
-
-# precipitation of coldest quarter
-
 layer = SDMLayer(dataprovider; layer = "BIO19", spatial_extent...)
 
-#-
+# This layer is trimmed to the landmass (according to GADM):
 
 mask!(layer, SpeciesDistributionToolkit.gadm("NZL"))
 layer = trim(layer)
@@ -27,22 +24,26 @@ layer = trim(layer)
 #-
 
 # fig-trimmed-layer
-heatmap(layer; axis=(; aspect=DataAspect()))
+fig, ax, plt = heatmap(layer; axis = (; aspect = DataAspect()))
+hidespines!(ax)
+hidedecorations!(ax)
 current_figure() #hide
 
-#-
+# We can now get the lower level sub-division:
 
 districts = SpeciesDistributionToolkit.gadm("NZL", 2);
 
-# We can start looking at how these map onto the landscape:
+# We can start looking at how these map onto the landscape, using the `zone`
+# function. It will return a layer where the value of each pixel is the index of
+# the polygon containing this pixel:
 
 # fig-districts
-heatmap(zone(layer, districts); colormap=:hokusai, axis=(; aspect=DataAspect()))
+heatmap(zone(layer, districts); colormap = :hokusai, axis = (; aspect = DataAspect()))
 current_figure() #hide
 
-# The layer resulting from the `zone` operation has integer values, and the
-# values correspond to the polygon to which each pixel belongs. Note that the
-# pixels that are not within a polygon are turned off.
+# Note that the pixels that are not within a polygon are turned off, which can
+# sometimes happen if the overlap between polygons is not perfect. There is a
+# variant of the `mosaic` method that uses polygon to assign the values:
 
 z = mosaic(median, layer, districts)
 nodata!(z, 0.0)
@@ -50,25 +51,39 @@ nodata!(z, 0.0)
 #-
 
 # fig-zone-index
-heatmap(z; axis=(; aspect=DataAspect()))
+fig, ax, plt = heatmap(z; axis = (; aspect = DataAspect()))
+hidespines!(ax)
+hidedecorations!(ax)
 current_figure() #hide
 
-#-
+# In order to make a plot identifying some areas, we get their full names using
+# `gadmlist`:
 
 districtnames = SpeciesDistributionToolkit.gadmlist("NZL", 2)
 districtnames[1:10]
 
-#- 
+# Finally, we can get the median value within each of these polygons using the
+# `byzone` method:
 
-top5 = first.(sort(byzone(median, layer, districts, districtnames); by=(x) -> x.second, rev=true)[1:5])
+top5 =
+    first.(
+        sort(
+            byzone(median, layer, districts, districtnames);
+            by = (x) -> x.second,
+            rev = true,
+        )[1:5]
+    )
 
 #-
 
 # fig-highlight-areas
-f, ax, plt = heatmap(layer; axis=(; aspect=DataAspect()), colormap=[:lightgrey, :black])
-[lines!(ax, districts[i], label=districtnames[i], linewidth=3) for i in indexin(top5, districtnames)]
-axislegend(position=(0, 0.7), nbanks=1)
+fig, ax, plt =
+    heatmap(layer; axis = (; aspect = DataAspect()), colormap = [:lightgrey, :black])
+[
+    lines!(ax, districts[i]; label = districtnames[i], linewidth = 3) for
+    i in indexin(top5, districtnames)
+]
+axislegend(; position = (0, 0.7), nbanks = 1)
 hidedecorations!(ax) #hide
 hidespines!(ax) #hide
 current_figure() #hide
-