This file describes all files required to replicate the figures in
Feichtinger / Rau / Novak: "On the Momentum of Pseudostable
Populations".

- Software Used:
All figures have been created using the language R
(https://cran.r-project.org/index.html). Various versions of R have
been used throughout the lifetime of the project. For a final check
all code files have been tested/run on 12 Dec 2024 using the most
recent version of R (4.4.2) on a 64bit PC running GNU/Linux.

- Author:
All code has been written by Roland Rau.

- Code-License:
All code is licensed under the GPL-2.0.

- Data:
All empirical data were taken from the World Population Prospects 2022
Revision by the United Nations. The author (RR)  assembled those data
in an Sqlite Database. Since this database is too large to share for the
current purpose (>3GB), small extracts have been prepared to recreate
all figures. The values have not been changed from the raw data.

- Data-License:
The data from the World Population Prospects 2022 Revision by the
United Nations have been licensed under the "Creative Commons license
CC BY 3.0 IGO." For more information on this license, please see:
https://creativecommons.org/licenses/by/3.0/igo/

- Step by Step Guide for the Figures:

-- Figure 1:
--- Code File: Recreate-Figure-1.R
--- Data File: Figure01.Rdata
--- Figure: Figure1-Introductory-Examples.pdf

-- Figure 2:
--- Code File: Recreate-Figure-2.R
--- Data File: None required
--- Figure: Figure2-Exponential-Decline.pdf

-- Figure 3:
--- Code File: Recreate-Figure-3.R
--- Data File: None required
--- Figure: Figure3-Theoretical-Birth-Trajectories.pdf

-- Figure 4:
--- Code File: Recreate-Figure-4.R
--- Data File: Figure04.Rdata
--- Figure: Figure4-Comparison-Theoretical-Empirical-Simulation.pdf

-- Figure 5:
--- Code File: Recreate-Figures-5-6.R
--- Data File: A-for-Figures-05-06.Rdata
This projection matrix has been created while running
Recreate-Figure-4.R
--- Figure: Figure5-Colombia-Momentum.pdf

-- Figure 6:
--- Code File: Recreate-Figures-5-6.R
--- Data File: A-for-Figures-05-06.Rdata
This projection matrix has been created while running
Recreate-Figure-4.R
--- Figure: Figure6-Long-Term.pdf

-- Figure 7:
--- Code File:
---- Recreate-Figure7-Momentum-analytic-numeric.Rnw
This file is written in the "literate programming style",
i.e. combining code with documentation (as pioneered by Don
Knuth). The actual literature format is "knitr". The code can be run
in R as
library(knitr)
knit2pdf("Recreate-Figure7-Momentum-analytic-numeric.Rnw)
This will create a documented code file in pdf
(Recreate-Figure7-Momentum-analytic-numeric.pdf) as well as Figure 7.
The code alone can be extracted running
purl("Recreate-Figure7-Momentum-analytic-numeric.Rnw)
The original Rnw file as well as the generated files are included in
the zip archive.
--- Data File: None required
--- Figure: Figure7-Mt-and-derivatives.pdf

-- Figure 8:
--- Code File: Recreate-Figure8.R
--- Data File: None required
--- Figure: Figure8-extremely-low-k.pdf

-- Figure 9:
--- Code File: Recreate-Figure9.R
--- Data File: None required
--- Figure: Figure9-Age-Structure-Comparison.pdf

Roland Rau, 12 Dec 2024