persp.multi_tpfit: Perspective Plots with Multidimensional Transiograms

Description

The function draws perspective-plots the $2$-D sections of a predicted multidimensional transiograms computed through ellipsoidal interpolation.

Usage

"persp"(x, mpoints, which.dire, max.dist, main, mar, ask = TRUE, col = "white", ...)

Arguments

an object of the class multi_tpfit, typically with the output of the function multi_tpfit.

mpoints

the number of points per axes. It controls the accuracy of images to plot.

which.dire

a vector with two chosen axial directions. If omitted, all $2$-D sections are plotted.

max.dist

a scalar or a vector of maximum length for the chosen axial directions.

main

the main title (on top) whose font and size are fixed.

mar

a scalar or a numerical vector of the form c(bottom, left, top, right) which gives the number of margin lines to be specified on the four sides of image to plot. See par(mar=.).

ask

a logical value; if TRUE, the user is asked for input, before each plot. See par(ask=.).

col

a list of colors which is usually generated by rev(heat.colors()), or with other function for colors.

...

other arguments to pass to the function persp.

Value

Details

A multidimensional transiogram is a diagram which shows the transition probabilities for a single pair of categories. It is computed for any lag vector $h$ through $$\mbox{expm} (\Vert h \Vert R),$$ where entries of $R$ are ellipsoidally interpolated (see multi_tpfit).

The exponential matrix is evaluated by the scaling and squaring algorithm.

References

Carle, S. F., Fogg, G. E. (1997) Modelling Spatial Variability with One and Multidimensional Continuous-Lag Markov Chains. Mathematical Geology, 29(7), 891-918.

Higham, N. J. (2008) Functions of Matrices: Theory and Computation. Society for Industrial and Applied Mathematics.

Sartore, L. (2010) Geostatistical models for 3-D data. M.Phil. thesis, Ca' Foscari University of Venice.