Bivariate polarAnnulus plot
polar_annulus.Rd
Typically plots the concentration of a pollutant by wind direction and as a function of time as an annulus. The function is good for visualising how concentrations of pollutants vary by wind direction and a time period, e.g., by month, day of week, etc.
Usage
polar_annulus(
data,
pollutant,
local_tz = NULL,
period = "hour",
facet = NULL,
statistic = "mean",
percentile = NA,
width = 1,
min_bin = 1,
exclude_missing = TRUE,
pad_date = FALSE,
force_positive = TRUE,
k = c(20, 10),
normalise = FALSE,
alpha = 1
)
Arguments
- data
A data frame containing wind direction, wind speed, and pollutant concentrations.
- pollutant
One or more column names identifying pollutant concentrations. When multiple pollutants are specified for a single-pollutant
statistic
(e.g., "mean"), a faceted plot will be returned. Two pollutants must be provided for certainstatistic
options (e.g., "Pearson" inpolar_plot()
).- local_tz
Should the results be calculated in local time that includes a treatment of daylight savings time (DST)? The default is not to consider DST issues, provided the data were imported without a DST offset. Emissions activity tends to occur at local time e.g. rush hour is at 8 am every day. When the clocks go forward in spring, the emissions are effectively released into the atmosphere typically 1 hour earlier during the summertime i.e. when DST applies. When plotting diurnal profiles, this has the effect of “smearing-out” the concentrations. Sometimes, a useful approach is to express time as local time. This correction tends to produce better-defined diurnal profiles of concentration (or other variables) and allows a better comparison to be made with emissions/activity data. If set to
FALSE
then GMT is used. Examples of usage includelocal_tz = "Europe/London"
,local_tz = "America/New_York"
. SeecutData
andimport
for more details.- period
This determines the temporal period to consider. Options are “hour” (the default, to plot diurnal variations), “season” to plot variation throughout the year, “weekday” to plot day of the week variation and “trend” to plot the trend by wind direction.
- facet
One or two faceting columns.
facet
determines how the data are split and then plotted. Whenfacet
is length 1 it is passed toggplot2::facet_wrap()
, and when it is length 2 it is passed toggplot2::facet_grid()
with the first element being used as columns and the second rows. Some other options (e.g., multiplepollutant
columns) can limit the the number of faceting columns to 1.- statistic
The statistic that should be applied to each wind speed/direction bin. Can be “mean” (default), “median”, “max” (maximum), “frequency”. “stdev” (standard deviation), “weighted.mean” or “cpf” (Conditional Probability Function). 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 usingpolarFreq
will be better. Settingstatistic = "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.- percentile
If
statistic = "percentile"
orstatistic = "cpf"
thenpercentile
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 setmin_bin
to ensure there are a sufficient number of points available to estimate a percentile. Seequantile
for more details of how percentiles are calculated.- width
The relative width of the annulus compared to the width of the inner white space.
width = 2
makes the annulus twice as wide as the inner circle, whereaswidth = 0.5
makes the annulus half as wide as the inner circle. Defaults to1
.- 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.
- 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 toFALSE
missing data will be interpolated.- pad_date
For
type = "trend"
(default),pad_date = TRUE
will pad-out missing data to the beginning of the first year and the end of the last year. The purpose is to ensure that the trend plot begins and ends at the beginning or end of year.- 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 artifacts 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 settingforce_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
The smoothing value supplied to
gam
for the temporal and wind direction components, respectively. In some cases e.g. a trend plot with less than 1-year of data the smoothing with the default values may become too noisy and affected more by outliers. Choosing a lower value ofk
(say 10) may help produce a better plot.- 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 onepollutant
is chosen.- alpha
The transparency of the plot. This is mainly useful to overlay it on a map.
Value
As well as generating the plot itself, polarAnnulus
also
returns an object of class ``openair''. The object includes three main
components: call
, the command used to generate the plot;
data
, the data frame of summarised information used to make the
plot; and plot
, the plot itself. If retained, e.g. using
output <- polarAnnulus(mydata, "nox")
, this output can be used to
recover the data, reproduce or rework the original plot or undertake
further analysis.
An openair output can be manipulated using a number of generic operations,
including print
, plot
and summary
.
Details
polar_annulus()
shares many of the properties of the polar_plot()
.
However, polar_annulus()
is focussed on displaying information on how
concentrations of a pollutant (values of another variable) vary with wind
direction and time. Plotting as an annulus helps to reduce compression of
information towards the centre of the plot. The circular plot is easy to
interpret because wind direction is most easily understood in polar rather
than Cartesian coordinates.
The inner part of the annulus represents the earliest time and the outer part of the annulus the latest time. The time dimension can be shown in many ways including "trend", "hour" (hour or day), "season" (month of the year) and "weekday" (day of the week). Taking hour as an example, the plot will show how concentrations vary by hour of the day and wind direction. Such plots can be very useful for understanding how different source influences affect a location.
For type = "trend"
the amount of smoothing does not vary linearly with
the length of the time series, i.e., a certain amount of smoothing per unit
interval in time. This is a deliberate choice because should one be
interested in a subset (in time) of data, more detail will be provided for
the subset compared with the full data set. This allows users to investigate
specific periods in more detail. Full flexibility is given through the
smoothing parameter k
.
See also
Other polar directional analysis functions:
polar_cluster()
,
polar_diff()
,
polar_freq()
,
polar_plot()
,
rose_metbias()
,
rose_percentile()
,
rose_pollution()
,
rose_wind()