matteocourthoud / alluvial-markow-chart

MATLAB function to make alluvial charts out of a Markow transition matrix.

Alluvial Markow Chart

by Matteo Courthoud

function file: alluvial.m

example file: example.m

palettes file: palettes.m

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This function produces alluvial diagrams from a Markow transition matrix. It displays the probability distribution over states at different points in time.

rng(1);
Q = rand(5);
Q = Q ./ sum(Q,2);

The user specifies the iterations at which the distribution over states has to be displayed. For example, we want to shot the first three time periods, the 99th and the 100th.

x = [1, 2, 3, 99, 100];

The plot_transitionscommand produces the final output.

alluvial.plot_transitions(Q, x, ylabels, xlabels, title);

Additionally, the user can provide the following options:

• w0: initial state distribution
• xlabels: labels of the horizontal axis
• ylabels: labels of the vertical axis
• title: title of the graph
• palette: color palette among viridian (default), inferno, magma, plasma, cividis

w0 = [1, 2, 4, 5, 1];
ylabels = ["Idea", "New", "Used", "Old", "Broken"];
xlabels = ["0", "1", "2", "\infty", "\infty"];
palette = "inferno";
title = "Product Life Cycle";

The parameters are inputed the MATLAB way.

 alluvial.plot_transitions(Q, x, "w0", w0, "palette", palette, "ylabels", ylabels, "xlabels", xlabels, "title", title);