Income, health, and spurious cointegration

Fuente: arXiv
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Main Authors: Granados, José A. Tapia, Ionides, Edward L.
Format: Preprint
Published: 2024
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author Granados, José A. Tapia
Ionides, Edward L.
author_facet Granados, José A. Tapia
Ionides, Edward L.
contents Data for many nations show a long-run increase, over many decades, of income, indexed by GDP per capita, and population health, indexed by mortality or life expectancy at birth (LEB). However, the short-run and long-run relationships between these variables have been interpreted in different ways, and many controversies remain open. It has been claimed that population health and income are cointegrated, and that this demonstrates a positive long-run effect of income on population health. We show, however, that an empirically tested cointegration between LEB and GDP per capita is not a sound method to infer a causal link. For a given country it is easy to find computer-generated data or time series of real observations, related or unrelated to the country, that according to standard methods, are also cointegrated with the country's LEB. More generally, given a trending time series, it is easy to find other series, observational or artificial, that appear cointegrated with it. Thus, standard cointegration methodology, often used in empirical investigations, cannot distinguish whether cointegration relationships are spurious or causal.
format Preprint
id arxiv_https___arxiv_org_abs_2407_15755
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Income, health, and spurious cointegration
Granados, José A. Tapia
Ionides, Edward L.
General Economics
Economics
Data for many nations show a long-run increase, over many decades, of income, indexed by GDP per capita, and population health, indexed by mortality or life expectancy at birth (LEB). However, the short-run and long-run relationships between these variables have been interpreted in different ways, and many controversies remain open. It has been claimed that population health and income are cointegrated, and that this demonstrates a positive long-run effect of income on population health. We show, however, that an empirically tested cointegration between LEB and GDP per capita is not a sound method to infer a causal link. For a given country it is easy to find computer-generated data or time series of real observations, related or unrelated to the country, that according to standard methods, are also cointegrated with the country's LEB. More generally, given a trending time series, it is easy to find other series, observational or artificial, that appear cointegrated with it. Thus, standard cointegration methodology, often used in empirical investigations, cannot distinguish whether cointegration relationships are spurious or causal.
title Income, health, and spurious cointegration
topic General Economics
Economics
url https://arxiv.org/abs/2407.15755