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#                                                                           #  
# ON THE RELATIONSHIP BETWEEN LIFE EXPECTANCY, MODAL AGE AT DEATH,          #
#   AND THE THRESHOLD AGE OF THE LIFE TABLE ENTROPY                         #
#                                                                           #
# Chiara MICHELETTI                                                         #
# Francisco VILLAVICENCIO                                                   #
#                                                                           #
#                                                               August 2024 #
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Supporting information for the paper "On the relationship between life expectancy, modal age at death, and the threshold age of the life table entropy" published in Demographic Research as part of the special collection in memory of James W. Vaupel.

This repository contains the following files and folders:
* ThresholdAgeMode.R: R code to reproduce all the results and figures from the paper.
* Functions.R: File with all the necessary functions to reproduce the results and figures from the paper. The file is sourced by ThresholdAgeMode.R and does not need to be executed by the user.
* The Data folder with
  	- Female 1x1 (age interval x year interval) life tables from the Human Mortality Database (HMD) of
  		- England and Wales, from 1900 to 2020 (EnglandWales_female_life_tables.txt)
  	 	- Italy, from 1900 to 2019 (Italy_female_life_tables.txt)
  	  	- Japan, from 1947 to 2021 (Japan_female_life_tables.txt)
  	  	- Spain, from 1908 to 2020 (Spain_female_life_tables.txt)
  	  	- Sweden, from 1900 2021 (Sweden_female_life_tables.txt)
  	  	- USA, from 1933 to 2020 (USA_female_life_tables.txt) 
	The life tables contain all the usual columns, in addition to the Deaths and Exposures provided by the HMD. In the cases of Spain and Sweden, a column "mode" reports to the adult modal age at death (authors' own calculation).

	- the Density_plots.txt: File containing the necessary data to reproduce Figures 5 and A-1. These estimates are derived from 8,022 HMD life tables and are provided here in their final form to avoid the upload of large data files. The primary data and code to create this data file are available from the authors upon request.

All the analyses are performed with the open-source statistical software R (version 4.4.1).

All the data sets are automatically loaded when executing the R-script ThresholdAgeMode.R.

The data was retrieved on 27 March 2022. Most recent mortality estimates are publicly available and can be downloaded from the HMD upon registration (https://www.mortality.org/).