provenance4.3 package

Statistical Toolbox for Sedimentary Provenance Analysis

GPA

Generalised Procrustes Analysis of configurations

diss

Calculate the dissimilarity matrix between two datasets of class `dist...

get.f

Calculate the largest fraction that is likely to be missed

central.counts

Calculate central compositions

CLR

Centred logratio transformation

combine

Combine samples of distributional data

get.n

Calculate the number of grains required to achieve a desired level of ...

get.p

Calculate the probability of missing a given population fraction

ALR

Additive logratio transformation

amalgamate

Group components of a composition

as.acomp

create an acomp object

as.compositional

create a compositional object

as.counts

create a counts object

as.data.frame

create a data.frame object

as.varietal

create a varietal object

botev

Compute the optimal kernel bandwidth

bray.diss

Bray-Curtis dissimilarity

CA

Correspondence Analysis

indscal

Individual Differences Scaling of provenance data

KDE

Create a kernel density estimate

KDEs

Generate an object of class KDEs

KS.diss

Kolmogorov-Smirnov dissimilarity

Kuiper.diss

Kuiper dissimilarity

lines.ternary

Ternary line plotting

MDS

Multidimensional Scaling

minsorting

Assess settling equivalence of detrital components

PCA

Principal Component Analysis

plot.CA

Point-counting biplot

plot.compositional

Plot a pie chart

plot.distributional

Plot continuous data as histograms or cumulative age distributions

plot.GPA

Plot a Procrustes configuration

plot.INDSCAL

Plot an INDSCAL group configuration and source weights

plot.KDE

Plot a kernel density estimate

plot.KDEs

Plot one or more kernel density estimates

plot.MDS

Plot an MDS configuration

plot.minsorting

Plot inferred grain size distributions

plot.PCA

Compositional biplot

plot.ternary

Plot a ternary diagram

points.ternary

Ternary point plotting

procrustes

Generalised Procrustes Analysis of provenance data

provenance

Menu-based interface for provenance

radialplot.counts

Visualise point-counting data on a radial plot

read.compositional

Read a .csv file with compositional data

read.counts

Read a .csv file with point-counting data

read.densities

Read a .csv file with mineral and rock densities

read.distributional

Read a .csv file with distributional data

read.varietal

Read a .csv file with varietal data

restore

Undo the effect of hydraulic sorting

SH.diss

Sircombe and Hazelton distance

subset

Get a subset of provenance data

summaryplot

Joint plot of several provenance datasets

ternary.ellipse

Ternary confidence ellipse

ternary

Define a ternary composition

text.ternary

Ternary text plotting

varietal2distributional

Convert varietal to distributional data

Wasserstein.diss

Wasserstein distance

Bundles a number of established statistical methods to facilitate the visual interpretation of large datasets in sedimentary geology. Includes functionality for adaptive kernel density estimation, principal component analysis, correspondence analysis, multidimensional scaling, generalised procrustes analysis and individual differences scaling using a variety of dissimilarity measures. Univariate provenance proxies, such as single-grain ages or (isotopic) compositions are compared with the Kolmogorov-Smirnov, Kuiper, Wasserstein-2 or Sircombe-Hazelton L2 distances. Categorical provenance proxies such as chemical compositions are compared with the Aitchison and Bray-Curtis distances,and count data with the chi-square distance. Varietal data can either be converted to one or more distributional datasets, or directly compared using the multivariate Wasserstein distance. Also included are tools to plot compositional and count data on ternary diagrams and point-counting data on radial plots, to calculate the sample size required for specified levels of statistical precision, and to assess the effects of hydraulic sorting on detrital compositions. Includes an intuitive query-based user interface for users who are not proficient in R.