Depending on the specified number of components, this function performs statistical age models analysis reviewed in Galbraith and Roberts (2012) dynamically using a Maximum Likelihood Estimation method. Age models that can be applied include: central age model (CAM), minimum age model (MAM), and finite mixture age model (FMM).
RadialPlotter(EDdata, ncomp = 0, addsigma = 0,
maxcomp = 6, algorithm = c("port","lbfgsb"),
plot = TRUE, pcolor = "blue", psize = 1.5,
kratio = 0.3, zscale = NULL)Return an object of S3 class "RadialPlotter" that contains the following elements:
optimized parameters, the names of CAM parameters are c("CAM.OD","CAM.De"), those of MAM3 paramters are c("Prop","MAM3.De","Sigma"), those of MAM4 parameters are c("Prop","MAM4.De","Mu","Sigma"), and those of FMM parameters are c("Prop", "FMM.De")
optimized maximum logged likelihood value
calculated Bayesian Information Criterion (BIC) value
matrix(required): a two-column matrix (i.e., equivalent dose values and
associated standard errors)
integer(with default): number of components, ncomp=-1, ncomp=-2, and ncomp=1 mean respectively fitting "MAM3", "MAM4", and "CAM", ncomp=0 means fitting "FMM" with an automatically optimized number of components, and ncomp=k (k>=2) means fitting "FMM" with k components
numeric(with default): additional uncertainty, i.e., the sigmab value
integer(with default): maximum number of components in FMM
character(with default): algorithm used for optimizing MAM,
default algorithm="port"
logical(with default): draw a radial plot or not
character(with default): color of a data point, input colors() to see more available colors
numeric(with default): size of a data point
numeric(with default): argument controlling the shape of zscale
vector(optional): argument controlling the scale of z-axis.
Example: zscale=seq(min(EDdata),max(EDdata),by=3L)
Both CAM and FMM are fitted using a iterative Maximum Likelihood Estimation procedure outlined by Galbraith (1988), while MAM can be estimated using either the "L-BFGS-B" algorithm (R function optim in package stats) or the "port" algorithm (R function nlminb in package stats).
Galbraith RF, 1988. Graphical display of estimates having differing standard errors. Technometrics, 30(3): 271-281.
Galbraith RF, 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): 207-214.
Galbraith RF, Green P, 1990. Estimating the component ages in a finite mixture. International Journal of Radiation Applications and Instrumentation. Part D. Nuclear Tracks and Radiation Measurements, 17: 197-206.
Galbraith RF, Laslett GM, 1993. Statistical models for mixed fission track ages. Nuclear Tracks And Radiation Measurements, 21(4): 459-470.
Galbraith RF, 1994. Some applications of radial plots. Journal of the American Statistical Association, 89(428): 1232-1242.
Galbraith RF, Roberts RG, Laslett GM, Yoshida H, Olley JM, 1999. Optical dating of single grains of quartz from Jinmium rock shelter, northern Australia. Part I: experimental design and statistical models. Archaeometry, 41(2): 339-364.
Galbraith RF, 2005. Statistics for fission track analysis. Chapman & Hall/CRC Press.
Galbraith RF, 2010. On plotting OSL equivalent doses. Ancient TL, 28(1): 1-10.
Galbraith RF, Roberts RG, 2012. Statistical aspects of equivalent dose and error calculation and display in OSL dating: an overview and some recommendations. Quaternary Geochronology, 11: 1-27.
Further reading
Duller GAT, 2008. Single-grain optical dating of Quaternary sediments: why aliquot size matters in luminescence dating. Boreas, 37(4): 589-612.
Kreutzer S, Schmidt C, Fuchs MC, Dietze M, Fischer M, Fuchs M, 2012. Introducing an R package for luminescence dating analysis. Ancient TL, 30(1): 1-8. Software is freely available at https://CRAN.R-project.org/package=Luminescence.
Rodnight H, 2008. How many equivalent dose values are needed to obtain a reproducible distribution? Ancient TL, 26(1): 3-10.
Rodnight H, Duller GAT, Wintle AG, Tooth S, 2006. Assessing the reproducibility and accuracy of optical dating of fluvial deposits. Quaternary Geochronology, 1(2): 109-120.
Schmidt S, Tsukamoto S, Salomon E, Frechen M, Hetzel R, 2012. Optical dating of alluvial deposits at the orogenic front of the andean precordillera (Mendoza, Argentina). Geochronometria, 39(1): 62-75.
Vermeesch P, 2009. RadialPlotter: a Java application for fission track, luminescence and other radial plots. Radiation Measurements, 44: 409-410. Software is freely available at https://www.ucl.ac.uk/~ucfbpve/radialplotter/.
Peng J, Li B, Jacobs Z, 2020. Modelling heterogeneously bleached single-grain equivalent dose distributions: Implications for the reliability of burial dose determination. Quaternary Geochronology, 60: 101108.
Peng J, Li B, Jacobs Z, Gliganic LA, 2023. Optical dating of sediments affected by post-depositional mixing: Modelling, synthesizing and implications. Catena, 232: 107383.
mcMAM; mcFMM; dbED; psRadialPlot; EDdata; optimSAM; sensSAM
data(EDdata)
# Find out the appropriate number of components
# in FMM and fit automatically.
RadialPlotter(EDdata$al3,zscale=seq(24,93,7))
# Fit MAM3 (not run).
# RadialPlotter(EDdata$gl11,ncomp=-1,zscale=seq(20,37,3))
Run the code above in your browser using DataLab