The diffMap()
function creates a map using bivariate polar plots as
markers. Any number of pollutants can be specified using the pollutant
argument, and multiple layers of markers can be created using type
. By
default, these maps are dynamic and can be panned, zoomed, and otherwise
interacted with. Using the static
argument allows for static images to be
produced instead.
diffMap(
before,
after,
pollutant = NULL,
x = "ws",
limits = "free",
latitude = NULL,
longitude = NULL,
crs = 4326,
type = NULL,
popup = NULL,
label = NULL,
provider = "OpenStreetMap",
cols = "RdBu",
alpha = 1,
key = FALSE,
legend = TRUE,
legend.position = NULL,
legend.title = NULL,
legend.title.autotext = TRUE,
control.collapsed = FALSE,
control.position = "topright",
control.autotext = TRUE,
d.icon = 200,
d.fig = 3.5,
static = FALSE,
static.nrow = NULL,
...,
control = NULL
)
Either:
Dynamic: A leaflet object
Static: A ggplot2
object using ggplot2::coord_sf()
coordinates with a ggspatial
basemap
A data frame that represents the "before" case. See
polarPlot()
for details of different input requirements.
A data frame that represents the "after" case. See polarPlot()
for details of different input requirements.
Mandatory. A pollutant name corresponding to a variable in a
data frame should be supplied e.g. pollutant = "nox"
. There can also
be more than one pollutant specified e.g. pollutant = c("nox",
"no2")
. The main use of using two or more pollutants is for model
evaluation where two species would be expected to have similar
concentrations. This saves the user stacking the data and it is possible to
work with columns of data directly. A typical use would be pollutant
= c("obs", "mod")
to compare two columns “obs” (the observations)
and “mod” (modelled values). When pair-wise statistics such as
Pearson correlation and regression techniques are to be plotted,
pollutant
takes two elements too. For example, pollutant =
c("bc", "pm25")
where "bc"
is a function of "pm25"
.
Name of variable to plot against wind direction in polar coordinates, the default is wind speed, “ws”.
Limits for the plot colour scale.
default: "free"
| scope: dynamic & static
One of:
"free"
(the default) which allows all of the markers to use different
colour scales.
A numeric vector in the form c(lower, upper)
used to define the colour
scale. For example, limits = c(-10, 10)
would force the plot limits to
span -10 to 10. It is recommended to use a symmetrical limit scale (along
with a "diverging" colour palette) for effective visualisation.
Note that the "fixed"
option is not supported in diffMap()
.
The decimal latitude(Y)/longitude(X).
default: NULL
| scope: dynamic & static
Column names representing the decimal latitude and longitude (or other Y/X
coordinate if using a different crs
). If not provided, will be
automatically inferred from data by looking for a column named
"lat"/"latitude" or "lon"/"lng"/"long"/"longitude" (case-insensitively).
The coordinate reference system (CRS).
default: 4326
| scope: dynamic & static
The coordinate reference system (CRS) of the data, passed to
sf::st_crs()
. By default this is EPSG:4326, the
CRS associated with the commonly used latitude and longitude coordinates.
Different coordinate systems can be specified using crs
(e.g., crs = 27700
for the British National Grid). Note that
non-lat/lng coordinate systems will be re-projected to EPSG:4326 for
plotting on the map.
A method to condition the data
for separate plotting.
default: NULL
| scope: dynamic & static
Used for splitting the input data into different groups, passed to the
type
argument of openair::cutData()
. When type
is specified:
Dynamic: The different data splits can be toggled between using a "layer control" menu.
Static:: The data splits will each appear in a different panel.
type
cannot be used if multiple pollutant
columns have been provided.
Content for marker popups on dynamic maps.
default: NULL
| scope: dynamic
Columns to be used as the HTML content for marker popups on dynamic maps.
Popups may be useful to show information about the individual sites (e.g.,
site names, codes, types, etc.). If a vector of column names are provided
they are passed to buildPopup()
using its default values.
Content for marker hover-over on dynamic maps.
default: NULL
| scope: dynamic
Column to be used as the HTML content for hover-over labels. Labels are useful for the same reasons as popups, though are typically shorter.
The basemap(s) to be used.
default: "OpenStreetMap"
| scope: dynamic & static
The base map(s) to be used beneath the polar markers. If not provided, will
default to "OpenStreetMap"
/"osm"
for both dynamic and static maps.
Dynamic: Any number of leaflet::providers.
See http://leaflet-extras.github.io/leaflet-providers/preview/ for a list
of all base maps that can be used. If multiple base maps are provided, they
can be toggled between using a "layer control" interface. By default, the
interface will use the provider names as labels, but users can define their
own using a named vector (e.g., c("Default" = "OpenStreetMap", "Satellite" = "Esri.WorldImagery")
)
Static: One of rosm::osm.types()
.
There is some overlap in static and dynamic providers. For example,
{ggspatial}
uses "osm" to specify "OpenStreetMap". When static providers
are provided to dynamic maps or vice versa, {openairmaps}
will attempt to
substitute the correct provider string.
Colours to use for plotting.
default: "RdBu"
| scope: dynamic & static
The colours used for plotting, passed to openair::openColours()
. It is
recommended to use a "diverging" colour palette (along with a symmetrical
limit
scale) for effective visualisation.
Transparency value for polar markers.
default: 1
| scope: dynamic & static
A value between 0 (fully transparent) and 1 (fully opaque).
Draw individual marker legends?
default: FALSE
| scope: dynamic & static
Draw a key for each individual marker? Potentially useful when limits = "free"
, but of limited use otherwise.
Draw a shared legend?
default: TRUE
| scope: dynamic & static
When all markers share the same colour scale (e.g., when limits != "free"
in polarMap()
), should a shared legend be created at the side of the map?
Position of the shared legend.
default: NULL
| scope: dynamic & static
When legend = TRUE
, where should the legend be placed?
Dynamic: One of "topright", "topright", "bottomleft" or "bottomright". Passed to the position
argument of leaflet::addLegend()
.
Static:: One of "top", "right", "bottom" or "left". Passed to the legend.position
argument of ggplot2::theme()
.
Title of the legend.
default: NULL
| scope: dynamic & static
By default, when legend.title = NULL
, the function will attempt to
provide a sensible legend title. legend.title
allows users to overwrite
this - for example, to include units or other contextual information. For
dynamic maps, users may wish to use HTML tags to format the title.
Automatically format the title of the legend?
default: TRUE
| scope: dynamic & static
When legend.title.autotext = TRUE
, legend.title
will be first run
through quickTextHTML()
(dynamic) or openair::quickText()
(static).
Show the layer control as a collapsed?
default: FALSE
| scope: dynamic
For dynamic maps, should the "layer control" interface be collapsed? If
TRUE
, users will have to hover over an icon to view the options.
Position of the layer control menu
default: "topright"
| scope: dynamic
When type != NULL
, or multiple pollutants are specified, where should the
"layer control" interface be placed? One of "topleft", "topright",
"bottomleft" or "bottomright". Passed to the position
argument of
leaflet::addLayersControl()
.
Automatically format the content of the layer control menu?
default: TRUE
| scope: dynamic
When control.autotext = TRUE
, the content of the "layer control"
interface will be first run through quickTextHTML()
.
The diameter of the plot on the map in pixels.
default: 200
| scope: dynamic & static
This will affect the size of the individual polar markers. Alternatively, a
vector in the form c(width, height)
can be provided if a non-circular
marker is desired.
The diameter of the plots to be produced using {openair}
in
inches.
default: 3.5
| scope: dynamic & static
This will affect the resolution of the markers on the map. Alternatively, a
vector in the form c(width, height)
can be provided if a non-circular
marker is desired.
Produce a static map?
default: FALSE
This controls whether a dynamic or static map is produced. The former is the default and is broadly more useful, but the latter may be preferable for DOCX or PDF outputs (e.g., academic papers).
Number of rows in a static map.
default: NULL
| scope: static
Controls the number of rows of panels on a static map when multiple
pollutant
s or type
are specified; passed to the nrow
argument of
ggplot2::facet_wrap()
. The default, NULL
, results in a roughly square
grid of panels.
Arguments passed on to openair::polarPlot
wd
Name of wind direction field.
statistic
The statistic that should be applied to each wind
speed/direction bin. Because of the smoothing involved, the colour scale
for some of these statistics is only to provide an indication of overall
pattern and should not be interpreted in concentration units e.g. for
statistic = "weighted.mean"
where the bin mean is multiplied by the
bin frequency and divided by the total frequency. In many cases using
polarFreq
will be better. Setting statistic = "weighted.mean"
can be useful because it provides an indication of the concentration *
frequency of occurrence and will highlight the wind speed/direction
conditions that dominate the overall mean.Can be:
“mean” (default), “median”, “max” (maximum), “frequency”. “stdev” (standard deviation), “weighted.mean”.
statistic = "nwr"
Implements the Non-parametric Wind
Regression approach of Henry et al. (2009) that uses kernel smoothers. The
openair
implementation is not identical because Gaussian kernels are
used for both wind direction and speed. The smoothing is controlled by
ws_spread
and wd_spread
.
statistic = "cpf"
the conditional probability function (CPF)
is plotted and a single (usually high) percentile level is supplied. The
CPF is defined as CPF = my/ny, where my is the number of samples in the y
bin (by default a wind direction, wind speed interval) with mixing ratios
greater than the overall percentile concentration, and ny is the
total number of samples in the same wind sector (see Ashbaugh et al.,
1985). Note that percentile intervals can also be considered; see
percentile
for details.
When statistic = "r"
or statistic = "Pearson"
, the
Pearson correlation coefficient is calculated for two pollutants.
The calculation involves a weighted Pearson correlation coefficient, which
is weighted by Gaussian kernels for wind direction an the radial variable
(by default wind speed). More weight is assigned to values close to a wind
speed-direction interval. Kernel weighting is used to ensure that all data
are used rather than relying on the potentially small number of values in a
wind speed-direction interval.
When statistic = "Spearman"
, the Spearman correlation
coefficient is calculated for two pollutants. The calculation
involves a weighted Spearman correlation coefficient, which is weighted by
Gaussian kernels for wind direction an the radial variable (by default wind
speed). More weight is assigned to values close to a wind speed-direction
interval. Kernel weighting is used to ensure that all data are used rather
than relying on the potentially small number of values in a wind
speed-direction interval.
"robust_slope"
is another option for pair-wise statistics and
"quantile.slope"
, which uses quantile regression to estimate the
slope for a particular quantile level (see also tau
for setting the
quantile level).
"york_slope"
is another option for pair-wise statistics which
uses the York regression method to estimate the slope. In this
method the uncertainties in x
and y
are used in the
determination of the slope. The uncertainties are provided by
x_error
and y_error
--- see below.
exclude.missing
Setting this option to TRUE
(the default)
removes points from the plot that are too far from the original data. The
smoothing routines will produce predictions at points where no data exist
i.e. they predict. By removing the points too far from the original data
produces a plot where it is clear where the original data lie. If set to
FALSE
missing data will be interpolated.
uncertainty
Should the uncertainty in the calculated surface be shown?
If TRUE
three plots are produced on the same scale showing the
predicted surface together with the estimated lower and upper uncertainties
at the 95% confidence interval. Calculating the uncertainties is useful to
understand whether features are real or not. For example, at high wind
speeds where there are few data there is greater uncertainty over the
predicted values. The uncertainties are calculated using the GAM and
weighting is done by the frequency of measurements in each wind
speed-direction bin. Note that if uncertainties are calculated then the
type is set to "default".
percentile
If statistic = "percentile"
then percentile
is used, expressed from 0 to 100. Note that the percentile value is
calculated in the wind speed, wind direction ‘bins’. For this reason
it can also be useful to set min.bin
to ensure there are a
sufficient number of points available to estimate a percentile. See
quantile
for more details of how percentiles are calculated.
percentile
is also used for the Conditional Probability Function
(CPF) plots. percentile
can be of length two, in which case the
percentile interval is considered for use with CPF. For example,
percentile = c(90, 100)
will plot the CPF for concentrations between
the 90 and 100th percentiles. Percentile intervals can be useful for
identifying specific sources. In addition, percentile
can also be of
length 3. The third value is the ‘trim’ value to be applied. When
calculating percentile intervals many can cover very low values where there
is no useful information. The trim value ensures that values greater than
or equal to the trim * mean value are considered before the
percentile intervals are calculated. The effect is to extract more detail
from many source signatures. See the manual for examples. Finally, if the
trim value is less than zero the percentile range is interpreted as
absolute concentration values and subsetting is carried out directly.
weights
At the edges of the plot there may only be a few data points
in each wind speed-direction interval, which could in some situations
distort the plot if the concentrations are high. weights
applies a
weighting to reduce their influence. For example and by default if only a
single data point exists then the weighting factor is 0.25 and for two
points 0.5. To not apply any weighting and use the data as is, use
weights = c(1, 1, 1)
.
An alternative to down-weighting these points they can be removed
altogether using min.bin
.
min.bin
The minimum number of points allowed in a wind speed/wind
direction bin. The default is 1. A value of two requires at least 2 valid
records in each bin an so on; bins with less than 2 valid records are set
to NA. Care should be taken when using a value > 1 because of the risk of
removing real data points. It is recommended to consider your data with
care. Also, the polarFreq
function can be of use in such
circumstances.
mis.col
When min.bin
is > 1 it can be useful to show where data
are removed on the plots. This is done by shading the missing data in
mis.col
. To not highlight missing data when min.bin
> 1
choose mis.col = "transparent"
.
upper
This sets the upper limit wind speed to be used. Often there are only a relatively few data points at very high wind speeds and plotting all of them can reduce the useful information in the plot.
force.positive
The default is TRUE
. Sometimes if smoothing data
with steep gradients it is possible for predicted values to be negative.
force.positive = TRUE
ensures that predictions remain positive. This
is useful for several reasons. First, with lots of missing data more
interpolation is needed and this can result in artefacts because the
predictions are too far from the original data. Second, if it is known
beforehand that the data are all positive, then this option carries that
assumption through to the prediction. The only likely time where setting
force.positive = FALSE
would be if background concentrations were
first subtracted resulting in data that is legitimately negative. For the
vast majority of situations it is expected that the user will not need to
alter the default option.
k
This is the smoothing parameter used by the gam
function in
package mgcv
. Typically, value of around 100 (the default) seems to
be suitable and will resolve important features in the plot. The most
appropriate choice of k
is problem-dependent; but extensive testing
of polar plots for many different problems suggests a value of k
of
about 100 is suitable. Setting k
to higher values will not tend to
affect the surface predictions by much but will add to the computation
time. Lower values of k
will increase smoothing. Sometimes with few
data to plot polarPlot
will fail. Under these circumstances it can
be worth lowering the value of k
.
normalise
If TRUE
concentrations are normalised by dividing by
their mean value. This is done after fitting the smooth surface.
This option is particularly useful if one is interested in the patterns of
concentrations for several pollutants on different scales e.g. NOx and CO.
Often useful if more than one pollutant
is chosen.
auto.text
Either TRUE
(default) or FALSE
. If TRUE
titles and axis labels will automatically try and format pollutant names
and units properly e.g. by subscripting the `2' in NO2.
ws_spread
The value of sigma used for Gaussian kernel weighting of
wind speed when statistic = "nwr"
or when correlation and regression
statistics are used such as r. Default is 0.5
.
wd_spread
The value of sigma used for Gaussian kernel weighting of
wind direction when statistic = "nwr"
or when correlation and
regression statistics are used such as r. Default is 4
.
x_error
The x
error / uncertainty used when statistic =
"york_slope"
.
y_error
The y
error / uncertainty used when statistic =
"york_slope"
.
kernel
Type of kernel used for the weighting procedure for when
correlation or regression techniques are used. Only "gaussian"
is
supported but this may be enhanced in the future.
formula.label
When pair-wise statistics such as regression slopes are calculated and plotted, should a formula label be displayed?
tau
The quantile to be estimated when statistic
is set to
"quantile.slope"
. Default is 0.5
which is equal to the median
and will be ignored if "quantile.slope"
is not used.
plot
Should a plot be produced? FALSE
can be useful when
analysing data to extract plot components and plotting them in other ways.
Deprecated. Please use type
.
As the outputs of the static directional analysis functions are ggplot2
figures, further customisation is possible using functions such as
ggplot2::theme()
, ggplot2::guides()
and ggplot2::labs()
.
If multiple pollutants are specified, subscripting (e.g., the "x" in "NOx")
is achieved using the ggtext package. Therefore if you
choose to override the plot theme, it is recommended to use
[ggplot2::theme()]
and [ggtext::element_markdown()]
to define the
strip.text
parameter.
When arguments like limits
, percentile
or breaks
are defined, a
legend is automatically added to the figure. Legends can be removed using
ggplot2::theme(legend.position = "none")
, or further customised using
ggplot2::guides()
and either color = ggplot2::guide_colourbar()
for
continuous legends or fill = ggplot2::guide_legend()
for discrete
legends.
openair::polarDiff()
Other directional analysis maps:
annulusMap()
,
freqMap()
,
percentileMap()
,
polarMap()
,
pollroseMap()
,
windroseMap()
if (FALSE) {
# NB: "after" is some dummy data to demonstrate functionality
diffMap(
before = polar_data,
after = dplyr::mutate(polar_data, nox = jitter(nox, factor = 5)),
pollutant = "nox"
)
}
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