Mortality cohort effect detection and measurement based on differential geometry

TL;DR

This paper introduces a differential geometry-based method to detect and quantify mortality cohort effects, enabling comparisons across countries and over time with explicit measurements.

Contribution

It presents a novel differential geometry approach to identify and measure mortality cohort effects, providing explicit quantification and cross-country comparison capabilities.

Findings

Effective detection of cohort effects in mortality data.

Quantitative measurement of cohort effect strength.

Application to multiple countries demonstrating method utility.

Abstract

This paper analyzes mortality cohort effect of birth year and develops an approach to identify and measure cohort effects in mortality data set. The approach is based on differential geometry and leads to an explicit result which can describe how strong the cohort effect is in any period. This quantitative measurement provides a possibility to compare cohort effects among different countries or groups. The paper also suggests to use coefficient of variation as a measurement of the whole cohort effect for one country. Data of several countries are taken as examples to explain our approach and results.