Introduction to TCHazaRds

R’s compatibility to easily use fast Cpp code (Rcpp) and spatial processing (e.g. terra) makes it an attractive open source environment to study tropical cyclones, also known as TCs, hurricanes and typhoons. This package estimates TC vortex wind and pressure fields using parametric equations originally coded up in python by TCRM and in Cuda Cpp by TCwindgen.

TC wind fields can be computed using three model inputs of the: 1) TC Track, 2) Model Parameters and 3) Model Spatial Domain. The TCHazaRds package can be used with other visualization and spatial analysis packages to analyse the impacts of TCs.

Input 1: The TC Track

The first thing that is required to model near- and far-field TC winds is the TC track/path. The functions in TCHazaRds require that the tracks have a “shape-file” like spatial-vector format and have attributes of pressure, date/time, location and forward speed and direction.

TCi = vect(cbind(c(154,154),c(-26.1,-26)),"lines",crs="epsg:4283") #track line segment
TCi$PRES = 950 #central pressure in hPa
#TCi$RMW = 40 #radius of maximum winds in km
TCi$ISO_TIME = "2022-10-04 20:00:00" #"%Y-%m-%d %H:%M:%S", tz = "UTC"
TCi$LON = geom(TCi)[1,3] #longitude
TCi$LAT = geom(TCi)[1,4] #latitude
TCi$STORM_SPD = perim(TCi)/(3*3600) #speed of the forward motion of the TC m/s
TCi$thetaFm = 90-returnBearing(TCi) #direction of the heading of the TC (Cartesian, clockwise from x axis)

In the above code chunk a simple track segment is defined, but historical TC tracks, e.g. from Best Track Archive for Climate Stewardship (IBTrACS), can provide the input into the model. A few tracks are provided with the package, below TC Yasi is read in.

TC <- vect(system.file("extdata/YASI/YASI.shp", package="TCHazaRds"))
TC$PRES <- TC$BOM_PRES #different agencies each provide a PRES, you need to chose one. 
TC$STORM_SPD = TC$STORM_SPD/1.94 #provided as knots, convert to m/s
TC$thetaFm = 90-returnBearing(TC) #direction of the heading of the TC (Cartesian, clockwise from x axis)
TCi = TC[46]

Input 2: The TC model parameters

The second thing required to run the model is a list of parameters, which are provided for the default settings with the package and shown below.

paramsTable = read.csv(system.file("extdata/tuningParams/defult_params.csv",package = "TCHazaRds"))
knitr::kable(paramsTable,caption = "Parameter file")

Parameter file
param	value	description
eP	1010.0000	environmental pressure [hPa]
rMaxModel	1.0000	TC radius of maximum winds model c(‘AP21’=0,‘MK14’=1,‘WR04’=2,‘VW08’=3,‘TW08’=4), or NA to use input TC$RMAX, see function rMax_modelsR
vMaxModel	1.0000	TC maximum velocity model c(‘AP21’=0,‘MK14’=1,‘WR04’=2,‘VW08’=3,‘AH77’=4), or NA to use input TC$VMAX, see function vMax_modelsR
betaModel	1.0000	TC beta model c(‘AP21’=0,‘MK14’=1,‘WR04’=2,‘VW08’=3,‘AH77’=4), or NA to use input TC$B, see function beta_modelsR
rMax2Model	1.0000	TC outer radius of 17.5m/s winds model (‘150km’=1,‘CK22’=2), or NA to use inuput TC$RMAX2, see function rMax2_modelsR
pressureProfileModel	0.0000	TC pressure profile c(‘Holland’=0,‘McConochie’=2)
windProfileModel	2.0000	TC wind profile c(‘Holland’=0,‘McConochie’=2)
windVortexModel	2.0000	TC wind vortex model c(‘Kepert’=0,‘Hubbert’=1,‘McConochie’=2,‘Jelesnianski’=4)
g	9.8100	acceleration due to gravity [m/s2]
rhoa	1.1400	air density [kg/m3]
surface	1.0000	equals one if winds are reduced from the gradient level to the surface, otherwise gradient winds are returned.[-]
Decay_a1	0.6150	exponential surface wind decay inland constant [-]
Decay_a2	0.9450	exponential surface wind decay over water constant [-]
Decay_a3	0.5125	exponential surface wind decay inland exponent [-]
Wave_a	0.2900	O’Grady 2024 eq.1 a parameter
Wave_x	1.0600	O’Grady 2024 eq.1 x parameter
Wave_b	-0.0157	O’Grady 2024 eq.1 b parameter
Wave_c	-0.0294	O’Grady 2024 eq.1 c parameter

Input 3: The TC model spatial domain

finally, the domain and geometry for the model output needs to be defined. The domain size and coordinates are calculated with the land_geometry function. A domain can simply be defined with terra::rast. Further to this a coastline polygon can be rasterize’d to define land, and the inland distance can be calculated with the terra::costDistance function to reduce winds overland due to terrestrial roughness (under development and commented out for now).

r = rast(xmin = 145,xmax=149,ymin = -19,ymax = -16.5,resolution=.01)
values(r) = 0
#GEO_land = land_geometry(r,r)

#
land_v <- vect(system.file("extdata/OSM_500m_QLD/OSM_500m_QLD.shp", package="TCHazaRds"))
land_r = rasterize(land_v,r,touches=TRUE,background=0)
inland_proximity = terra::costDist(land_r,target = 0,scale=1)
GEO_land = land_geometry(land_r,inland_proximity)

#plot(inland_proximity,main = "Inland Distance (m)")
#plot(TC,add=TRUE)

Output Wind and Wave Field

Now that we have the three inputs (tracks, parameters and model output geometry) we can compute and plot the spatial wind hazard. See Making maps in R for plotting method. Ocean Wave parameters can be returned with returnWaves = TRUE

ats = seq(0, 65, length=14)
HAZi = TCHazaRdsWindField(GEO_land = GEO_land,TC = TCi,paramsTable=paramsTable,returnWaves = TRUE)
library(raster)       # convert for raster plots
dummy = raster::raster() 
TC_sp = list("sp.lines",as(TC,"Spatial"),col="black")
sp::spplot(HAZi,"Sw",at=ats,sp.layout = TC_sp,main = "Surface wind speed [m/s]")

ats = seq(0, 16, length=9)
sp::spplot(HAZi,"Hs0",at=ats,sp.layout = TC_sp,main = "Deep water significant wave height [m]")

The package rasterVis:: allows pretty spatial vector plots of the wind field via the vectorplot function (tested on MS-Windows machine).

ats = seq(0, 65, length=14)
if (.Platform$OS.type == "windows"){
  UV = as(c(HAZi["Uw"],HAZi["Vw"]),"Raster") #need to convert back to raster
  rasterVis::vectorplot(UV, isField='dXY', col.arrows='white', aspX=0.002,aspY=0.002,at=ats ,
  colorkey=list(at=ats), par.settings=viridisTheme)+latticeExtra::layer(sp.lines(as(TC,"Spatial"),col="red"))
}

The hazard can be also calculated for the entire track too (by adding a s to the end of TCHazaRdsWindField to make it plural), and then the maximum wind speed at each grid cell can be plotted.

HAZ = TCHazaRdsWindFields(GEO_land=GEO_land,TC=TC,paramsTable=paramsTable)
sp::spplot(max(HAZ$Sw),at=ats,sp.layout = TC_sp)

The track can be interpolate to say, hourly intervals by defining an outdate from the start to the end date of the TC, stepping by 3600 seconds. The output from these functions can be written to a netcdf file for input to force hydrodynamic or wave modelling by including outfile filename in the function call (not shown here, see ?TCHazaRdsWindFields).

outdate = seq(strptime(TC$ISO_TIME[1],"%Y-%m-%d %H:%M:%S",tz="UTC"),
              strptime(rev(TC$ISO_TIME)[1],"%Y-%m-%d %H:%M:%S",tz="UTC"),
              3600)
HAZI = TCHazaRdsWindFields(outdate=outdate,GEO_land=GEO_land,TC=TC,paramsTable=paramsTable)
sp::spplot(max(HAZI$Sw),at=ats,sp.layout = TC_sp)

Output wind time series

Time series data can be computed for a single location. Below is a comparison of the raw IBTrACS time step and the track interpolated to 10 minute intervals.(tested on MS-Windows machine)


outdate = seq(strptime(TC$ISO_TIME[1],"%Y-%m-%d %H:%M:%S",tz="UTC"),
              strptime(rev(TC$ISO_TIME)[1],"%Y-%m-%d %H:%M:%S",tz="UTC"),
              600)

GEO_landp = data.frame(dem=0,lons = 147,lats=-18,f=-4e-4,inlandD = 0)
HAZts = TCHazaRdsWindTimeSereies(GEO_land=GEO_landp,TC=TC,paramsTable = paramsTable)
HAZtsi = TCHazaRdsWindTimeSereies(outdate = outdate,GEO_land=GEO_landp,TC=TC,paramsTable = paramsTable)

main =  paste(TCi$NAME[1],TCi$SEASON[1],"at",GEO_landp$lons,GEO_landp$lats)
if (.Platform$OS.type == "windows"){ 
  suppressWarnings(with(HAZts,plot(date,Sw,format = "%b-%d %HZ",type="l",main = main,ylab = "Wind speed [m/s]")))
  with(HAZtsi,lines(date,Sw,col=2))
  legend("topleft",c("6 hrly","10 min interpolated"),col = c(1,2),lty=1)
}

Output wind Profile

Wind profiles can be calculated for a single time step. Here we estimate the wind speed values along the profile that is 90 degrees clockwise (at right angles) from the TC heading/bearing direction.

TCi$thetaFm = 90-returnBearing(TCi)
pp <- TCProfilePts(TC_line = TCi,bear=TCi$thetaFm+90,length =150,step=1)
#extract the GEO_land
GEO_land_v = extract(GEO_land,pp,bind=TRUE,method = "bilinear")
HAZp = TCHazaRdsWindProfile(GEO_land_v,TCi,paramsTable)

HAZie = extract(HAZi,pp,bind=TRUE)#,method = "bilinear")

wcol = colorRampPalette(c("white","lightblue","blue","violet","purple"))
#see ?terra::plot
plot(HAZi,"Sw",levels=ats,col = wcol(13),range = range(ats),type="continuous",all_levels=TRUE)

#plot(HAZp,add=TRUE,cex=1.2)
plot(HAZp,"Sw",levels=ats,col = wcol(13),range = range(ats),type="continuous",border="grey")#,all_levels=TRUE)
lines(TC)

TC wind fields can be modelled, or tested, with observed, or constant, B (Beta) profile peakedness parameter by defining TC$B and setting betaModel = NA in paramsTable

TCi$B = 2.2
paramsTableCB = paramsTable
paramsTableCB$value[paramsTableCB$param == "betaModel"] = NA
HAZpCP = TCHazaRdsWindProfile(GEO_land_v,TCi,paramsTableCB)

Other parameters can be adjusted, here we model a larger outer radius (RMAX2) profile parameter by defining TC$RMAX2 and setting rMax2Model = NA in paramsTable

TCi$RMAX2 = 200
paramsTableRMAX2 = paramsTable
paramsTableRMAX2$value[paramsTableRMAX2$param == "rMax2Model"] = NA
HAZpRMAX2 = TCHazaRdsWindProfile(GEO_land_v,TCi,paramsTableRMAX2)

Positive radial distance values are to the right of the forward motion (90 deg clockwise).

plot(HAZp$radialdist,HAZp$Sw,type="l",xlab = "Radial distance [km]",ylab = "Wind speed [m/s]",ylim = c(0,70));grid()
lines(HAZp$radialdist,HAZpCP$Sw,col=2)
lines(HAZpRMAX2$radialdist,HAZpRMAX2$Sw,col=4)
legend("topleft",c("B = MK14, RMAX2 = 150 km",paste0("B = ",TCi$B,", RMAX2 = 150 km"),paste0("B = MK14, RMAX2 = ",TCi$RMAX2," km")),lty=1,col = c(1,2,4),cex=.7)
title("Profiles of different peakness B and outer radius RMAX2 parameters",cex.main=.9)

Julian O’Grady is a @csiro.au climate scientist investigating coastal hazards and impacts.