DeepAI AI Chat
Log In Sign Up

Drewnowski's index to measure lifespan variation: Revisiting the Gini coefficient of the life table

11/19/2021
by   José Manuel Aburto, et al.
0

The Gini coefficient of the life table is a concentration index that provides information on lifespan variation. Originally proposed by economists to measure income and wealth inequalities, it has been widely used in population studies to investigate variation in ages at death. We focus on a complementary indicator, Drewnowski's index, which is as a measure of equality. We study its mathematical properties and analyze how changes over time relate to changes in life expectancy. Further, we identify the threshold age below which mortality improvements are translated into decreasing lifespan variation and above which these improvements translate into increasing lifespan inequality. We illustrate our theoretical findings simulating scenarios of mortality improvement in the Gompertz model. Our experiments demonstrate how Drewnowski's index can serve as an indicator of the shape of mortality patterns. These properties, along with our analytical findings, support studying lifespan variation alongside life expectancy trends in multiple species.

READ FULL TEXT

page 1

page 2

page 3

page 4

12/03/2021

The h-index

The h-index is a mainstream bibliometric indicator, since it is widely u...
09/09/2020

A Mortality Model for Multi-populations: A Semi-Parametric Approach

Mortality is different across countries, states and regions. Several emp...
06/30/2021

Energy and Randic index of directed graphs

The concept of Randic index has been extended recently for a digraph. We...
03/20/2020

Explained Variation under the Additive Hazards Model

We study explained variation under the additive hazards regression model...
07/21/2011

NK landscapes difficulty and Negative Slope Coefficient: How Sampling Influences the Results

Negative Slope Coefficient is an indicator of problem hardness that has ...