Description Usage Arguments Details Value References See Also Examples
Implementation of a graphical device developed by Rex Galbraith to display several estimates of the same quantity that have different standard errors. Serves as a vehicle to display finite and continuous mixture models.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325  radialplot(x, ...)
## Default S3 method:
radialplot(
x,
from = NA,
to = NA,
z0 = NA,
transformation = "log",
sigdig = 2,
show.numbers = FALSE,
pch = 21,
levels = NA,
clabel = "",
bg = c("yellow", "red"),
col = "black",
k = 0,
markers = NULL,
alpha = 0.05,
units = "",
hide = NA,
omit = NULL,
omit.col = NA,
...
)
## S3 method for class 'fissiontracks'
radialplot(
x,
from = NA,
to = NA,
z0 = NA,
transformation = "arcsin",
sigdig = 2,
show.numbers = FALSE,
pch = 21,
levels = NA,
clabel = "",
bg = c("yellow", "red"),
col = "black",
markers = NULL,
k = 0,
exterr = TRUE,
alpha = 0.05,
hide = NULL,
omit = NULL,
omit.col = NA,
...
)
## S3 method for class 'UPb'
radialplot(
x,
from = NA,
to = NA,
z0 = NA,
transformation = "log",
type = 4,
cutoff.76 = 1100,
cutoff.disc = discfilter(),
show.numbers = FALSE,
pch = 21,
sigdig = 2,
levels = NA,
clabel = "",
bg = c("yellow", "red"),
col = "black",
markers = NULL,
k = 0,
exterr = TRUE,
common.Pb = 0,
alpha = 0.05,
hide = NULL,
omit = NULL,
omit.col = NA,
...
)
## S3 method for class 'PbPb'
radialplot(
x,
from = NA,
to = NA,
z0 = NA,
sigdig = 2,
transformation = "log",
show.numbers = FALSE,
pch = 21,
levels = NA,
clabel = "",
bg = c("yellow", "red"),
col = "black",
markers = NULL,
k = 0,
exterr = TRUE,
common.Pb = 2,
alpha = 0.05,
hide = NULL,
omit = NULL,
omit.col = NA,
...
)
## S3 method for class 'ArAr'
radialplot(
x,
from = NA,
to = NA,
z0 = NA,
sigdig = 2,
transformation = "log",
show.numbers = FALSE,
pch = 21,
levels = NA,
clabel = "",
bg = c("yellow", "red"),
col = "black",
markers = NULL,
k = 0,
exterr = TRUE,
i2i = FALSE,
alpha = 0.05,
hide = NULL,
omit = NULL,
omit.col = NA,
...
)
## S3 method for class 'KCa'
radialplot(
x,
from = NA,
to = NA,
z0 = NA,
sigdig = 2,
transformation = "log",
show.numbers = FALSE,
pch = 21,
levels = NA,
clabel = "",
bg = c("yellow", "red"),
col = "black",
markers = NULL,
k = 0,
exterr = TRUE,
i2i = FALSE,
alpha = 0.05,
hide = NULL,
omit = NULL,
omit.col = NA,
...
)
## S3 method for class 'ThPb'
radialplot(
x,
from = NA,
to = NA,
z0 = NA,
sigdig = 2,
transformation = "log",
show.numbers = FALSE,
pch = 21,
levels = NA,
clabel = "",
bg = c("yellow", "red"),
col = "black",
markers = NULL,
k = 0,
exterr = TRUE,
i2i = TRUE,
alpha = 0.05,
hide = NULL,
omit = NULL,
omit.col = NA,
...
)
## S3 method for class 'UThHe'
radialplot(
x,
from = NA,
to = NA,
z0 = NA,
sigdig = 2,
transformation = "log",
show.numbers = FALSE,
pch = 21,
levels = NA,
clabel = "",
bg = c("yellow", "red"),
col = "black",
markers = NULL,
k = 0,
alpha = 0.05,
hide = NULL,
omit = NULL,
omit.col = NA,
...
)
## S3 method for class 'ReOs'
radialplot(
x,
from = NA,
to = NA,
z0 = NA,
sigdig = 2,
transformation = "log",
show.numbers = FALSE,
pch = 21,
levels = NA,
clabel = "",
bg = c("yellow", "red"),
col = "black",
markers = NULL,
k = 0,
exterr = TRUE,
i2i = TRUE,
alpha = 0.05,
hide = NULL,
omit = NULL,
omit.col = NA,
...
)
## S3 method for class 'SmNd'
radialplot(
x,
from = NA,
to = NA,
z0 = NA,
sigdig = 2,
transformation = "log",
show.numbers = FALSE,
pch = 21,
levels = NA,
clabel = "",
bg = c("yellow", "red"),
col = "black",
markers = NULL,
k = 0,
exterr = TRUE,
i2i = TRUE,
alpha = 0.05,
hide = NULL,
omit = NULL,
omit.col = NA,
...
)
## S3 method for class 'RbSr'
radialplot(
x,
from = NA,
to = NA,
z0 = NA,
sigdig = 2,
transformation = "log",
show.numbers = FALSE,
pch = 21,
levels = NA,
clabel = "",
bg = c("yellow", "red"),
col = "black",
markers = NULL,
k = 0,
exterr = TRUE,
i2i = TRUE,
alpha = 0.05,
hide = NULL,
omit = NULL,
omit.col = NA,
...
)
## S3 method for class 'LuHf'
radialplot(
x,
from = NA,
to = NA,
z0 = NA,
sigdig = 2,
transformation = "log",
show.numbers = FALSE,
pch = 21,
levels = NA,
clabel = "",
bg = c("yellow", "red"),
col = "black",
markers = NULL,
k = 0,
exterr = TRUE,
i2i = TRUE,
alpha = 0.05,
hide = NULL,
omit = NULL,
omit.col = NA,
...
)
## S3 method for class 'ThU'
radialplot(
x,
from = NA,
to = NA,
z0 = NA,
sigdig = 2,
transformation = "log",
show.numbers = FALSE,
pch = 21,
levels = NA,
clabel = "",
bg = c("yellow", "red"),
col = "black",
markers = NULL,
k = 0,
i2i = FALSE,
alpha = 0.05,
detritus = 0,
hide = NULL,
omit = NULL,
omit.col = NA,
...
)

x 
Either an OR and object of class 
... 
additional arguments to the generic 
from 
minimum age limit of the radial scale 
to 
maximum age limit of the radial scale 
z0 
central value 
transformation 
one of either 
sigdig 
the number of significant digits of the numerical values reported in the title of the graphical output. 
show.numbers 
boolean flag ( 
pch 
plot character (default is a filled circle) 
levels 
a vector with additional values to be displayed as different background colours of the plot symbols. 
clabel 
label of the colour legend 
bg 
Fill colour for the plot symbols. This can either be a
single colour or multiple colours to form a colour ramp (to be
used if a single colour: multiple colours: a colour palette: a reversed palette: for plot symbols, set 
col 
text colour to be used if 
k 
number of peaks to fit using the finite mixture models of
Galbraith and Laslett (1993). Setting 
markers 
vector of ages of radial marker lines to add to the plot. 
alpha 
cutoff value for confidence intervals 
units 
measurement units to be displayed in the legend. 
hide 
vector with indices of aliquots that should be removed from the radial plot. 
omit 
vector with indices of aliquots that should be plotted but omitted from the central age calculation or mixture models. 
omit.col 
colour that should be used for the omitted aliquots. 
exterr 
include the external sources of uncertainty into the error propagation for the central age and mixture models? 
type 
scalar indicating whether to plot the
^{207}Pb/^{235}U age ( 
cutoff.76 
the age (in Ma) below which the
^{206}Pb/^{238}U and above which the
^{207}Pb/^{206}Pb age is used. This parameter is
only used if 
cutoff.disc 
discordance cutoff filter. This is an object of
class 
common.Pb 
common lead correction:

i2i 
‘isochron to intercept’: calculates the initial
(aka ‘inherited’, ‘excess’, or ‘common’) ^{40}Ar/^{36}Ar,
^{40}Ca/^{44}Ca, ^{207}Pb/^{204}Pb,
^{87}Sr/^{86}Sr, ^{143}Nd/^{144}Nd,
^{187}Os/^{188}Os, ^{230}Th/^{232}Th,
^{176}Hf/^{177}Hf or ^{204}Pb/^{208}Pb
ratio from an isochron fit. Setting Note that choosing this option introduces a degree of circularity in the central age calculation. In this case the radial plot plot just serves as a way to visualise the residuals of the data around the isochron, and one should be careful not to overinterpret the numerical output. 
detritus 
detrital ^{230}Th correction (only applicable
when

The radial plot (Galbraith, 1988, 1990) is a graphical device that was specifically designed to display heteroscedastic data, and is constructed as follows. Consider a set of dates \{t_1,...,t_i,...,t_n\} and uncertainties \{s[t_1],...,s[t_i],...,s[t_n]\}. Define z_i = z[t_i] to be a transformation of t_i (e.g., z_i = log[t_i]), and let s[z_i] be its propagated analytical uncertainty (i.e., s[z_i] = s[t_i]/t_i in the case of a logarithmic transformation). Create a scatter plot of (x_i,y_i) values, where x_i = 1/s[z_i] and y_i = (z_iz_\circ)/s[z_i], where z_\circ is some reference value such as the mean. The slope of a line connecting the origin of this scatter plot with any of the (x_i,y_i)s is proportional to z_i and, hence, the date t_i.
These dates can be more easily visualised by drawing a radial scale at some convenient distance from the origin and annotating it with labelled ticks at the appropriate angles. While the angular position of each data point represents the date, its horizontal distance from the origin is proportional to the precision. Imprecise measurements plot on the left hand side of the radial plot, whereas precise age determinations are found further towards the right. Thus, radial plots allow the observer to assess both the magnitude and the precision of quantitative data in one glance.
does not produce any numerical output, but does report the central age and the results of any mixture modelling in the title. An asterisk is added to the plot title if the initial daughter correction is based on an isochron regression, to highlight the circularity of using an isochron to compute a central age, and to indicate that the reported uncertainties do not include the uncertainty of the initial daughter correction. This is because this uncertainty is neither purely random nor purely systematic.
Galbraith, R.F., 1988. Graphical display of estimates having differing standard errors. Technometrics, 30(3), pp.271281.
Galbraith, R.F., 1990. The radial plot: graphical assessment of spread in ages. International Journal of Radiation Applications and Instrumentation. Part D. Nuclear Tracks and Radiation Measurements, 17(3), pp.207214.
Galbraith, R.F. and Laslett, G.M., 1993. Statistical models for mixed fission track ages. Nuclear Tracks and Radiation Measurements, 21(4), pp.459470.
1 2 3 4 5  attach(examples)
radialplot(FT1)
dev.new()
radialplot(LudwigMixture,k='min')

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