Trajectory level plots with conditioning
This function plots gridded back trajectories. This function requires that
data are imported using the importTraj
function.
trajLevel( mydata, lon = "lon", lat = "lat", pollutant = "height", type = "default", smooth = FALSE, statistic = "frequency", percentile = 90, map = TRUE, lon.inc = 1, lat.inc = 1, min.bin = 1, .combine = NA, map.fill = TRUE, map.res = "default", map.cols = "grey40", map.alpha = 0.3, projection = "lambert", parameters = c(51, 51), orientation = c(90, 0, 0), grid.col = "deepskyblue", origin = TRUE, ... )
mydata |
Data frame, the result of importing a trajectory file using
|
lon |
Column containing the longitude, as a decimal. |
lat |
Column containing the latitude, as a decimal. |
pollutant |
Pollutant to be plotted. By default the trajectory height is used. |
type |
It is also possible to choose
|
smooth |
Should the trajectory surface be smoothed? |
statistic |
For For There are also various ways of plotting concentrations. It is also possible to set If If |
percentile |
For |
map |
Should a base map be drawn? If |
lon.inc |
The longitude-interval to be used for binning data for
|
lat.inc |
The latitude-interval to be used for binning data when
|
min.bin |
For |
.combine |
When statistic is "SQTBA" it is possible to combine lots of
receptor locations to derive a single map. |
map.fill |
Should the base map be a filled polygon? Default is to fill countries. |
map.res |
The resolution of the base map. By default the function uses
the ‘world’ map from the |
map.cols |
If |
map.alpha |
The transpency level of the filled map which takes values from 0 (full transparency) to 1 (full opacity). Setting it below 1 can help view trajectories, trajectory surfaces etc. and a filled base map. |
projection |
The map projection to be used. Different map projections
are possible through the |
parameters |
From the |
orientation |
From the |
grid.col |
The colour of the map grid to be used. To remove the grid
set |
origin |
should the receptor origin be shown by a black dot? |
... |
other arguments are passed to |
An alternative way of showing the trajectories compared with plotting
trajectory lines is to bin the points into latitude/longitude intervals. For
these purposes trajLevel
should be used. There are several trajectory
statistics that can be plotted as gridded surfaces. First, statistic
can be set to “frequency” to show the number of back trajectory
points in a grid square. Grid squares are by default at 1 degree intervals,
controlled by lat.inc
and lon.inc
. Such plots are useful for
showing the frequency of air mass locations. Note that it is also possible
to set method = "hexbin"
for plotting frequencies (not
concentrations), which will produce a plot by hexagonal binning.
If statistic = "difference"
the trajectories associated with a
concentration greater than percentile
are compared with the the full
set of trajectories to understand the differences in freqeuncies of the
origin of air masses of the highest concentration trajectories compared with
the trajectories on average. The comparsion is made by comparing the
percentage change in gridded frequencies. For example, such a plot could
show that the top 10% of concentrations of PM10 tend to orginate from
air-mass origins to the east.
If statistic = "pscf"
then the Potential Source Contribution Function
is plotted. The PSCF calculates the probability that a source is located at
latitude i and longitude j (Pekney et al., 2006).The basis of
PSCF is that if a source is located at (i,j), an air parcel back trajectory
passing through that location indicates that material from the source can be
collected and transported along the trajectory to the receptor site. PSCF
solves
PSCF = m_{ij}/n_{ij}
where n_{ij} is the number of times
that the trajectories passed through the cell (i,j) and m_{ij} is the
number of times that a source concentration was high when the trajectories
passed through the cell (i,j). The criterion for de-termining m_{ij}
is controlled by percentile
, which by default is 90. Note also that
cells with few data have a weighting factor applied to reduce their effect.
A limitation of the PSCF method is that grid cells can have the same PSCF value when sample concentrations are either only slightly higher or much higher than the criterion. As a result, it can be difficult to distinguish moderate sources from strong ones. Seibert et al. (1994) computed concentration fields to identify source areas of pollutants. The Concentration Weighted Trajectory (CWT) approach considers the concentration of a species together with its residence time in a grid cell. The CWT approach has been shown to yield similar results to the PSCF approach. The openair manual has more details and examples of these approaches.
A further useful refinement is to smooth the resulting surface, which is
possible by setting smooth = TRUE
.
This function is under active development and is likely to change
David Carslaw
Pekney, N. J., Davidson, C. I., Zhou, L., & Hopke, P. K. (2006). Application of PSCF and CPF to PMF-Modeled Sources of PM 2.5 in Pittsburgh. Aerosol Science and Technology, 40(10), 952-961.
Seibert, P., Kromp-Kolb, H., Baltensperger, U., Jost, D., 1994. Trajectory analysis of high-alpine air pollution data. NATO Challenges of Modern Society 18, 595-595.
Xie, Y., & Berkowitz, C. M. (2007). The use of conditional probability functions and potential source contribution functions to identify source regions and advection pathways of hydrocarbon emissions in Houston, Texas. Atmospheric Environment, 41(28), 5831-5847.
importTraj
to import trajectory data from the King's
College server and trajPlot
for plotting back trajectory
lines.
# show a simple case with no pollutant i.e. just the trajectories # let's check to see where the trajectories were coming from when # Heathrow Airport was closed due to the Icelandic volcanic eruption # 15--21 April 2010. # import trajectories for London and plot ## Not run: lond <- importTraj("london", 2010) ## End(Not run) # more examples to follow linking with concentration measurements... # import some measurements from KC1 - London ## Not run: kc1 <- importAURN("kc1", year = 2010) # now merge with trajectory data by 'date' lond <- merge(lond, kc1, by = "date") # trajectory plot, no smoothing - and limit lat/lon area of interest # use PSCF trajLevel(subset(lond, lat > 40 & lat < 70 & lon >-20 & lon <20), pollutant = "pm10", statistic = "pscf") # can smooth surface, suing CWT approach: trajLevel(subset(lond, lat > 40 & lat < 70 & lon >-20 & lon <20), pollutant = "pm2.5", statistic = "cwt", smooth = TRUE) # plot by season: trajLevel(subset(lond, lat > 40 & lat < 70 & lon >-20 & lon <20), pollutant = "pm2.5", statistic = "pscf", type = "season") ## End(Not run)
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