The robust negative relationship between mean temperature and national suicide rates Matt N. Williams, Massey University, New Zealand | [email protected] Abstract This study demonstrates that there is a negative relationship between the mean temperature and the suicide rate of geographical areas. This finding holds both across countries (N = 171) and across counties of the US (N = 3147). The relationship is robust to controls for several plausible confounds. Introduction A number of studies have investigated how the incidence of suicide is affected by variation in temperature over time within particular geographic areas, generally finding that warmer time periods are associated with higher suicide incidence1. However, the relationship between geographical variation in temperature and suicide has not been so extensively studied, leaving an interesting observation rather underappreciated: That warmer geographical areas (e.g., warmer countries) tend to have lower suicide rates. This negative relationship was identified in studies using data from the 1970s and 1980s2–4. However, it has not been extensively examined using more contemporary data, nor previously subjected to controls for potential confounds. Results: Analysis across countries Results: Analysis across counties of the USA Across the 171 countries examined, there was a correlation of r = -.20 between mean temperature and suicide rate, 95% credible interval [-.35, .05]. There were ~0.16 fewer suicides per 100,000 p.a. for each °C higher temperature. The effect remained present and in fact increased in size when controlling for the set of selected potential confounds (Table 1). Across the 3147 US counties examined, there was a correlation of r = -.16 between mean temperature and suicide rate, 95% credible interval [-.20, -.12]. There were ~0.20 fewer suicides per 100,000 p.a. for each °C higher temperature. The effect remained present and again increased in size when controlling for the set of selected potential confounds (see Table 2). Table 1 Regression model for age-standardized suicide rate (per 100,000) by country Table 2 Regression model for age-standardized suicide rate (per 100,000) by county Intercept Mean temperature (°C), 1961-1990 GDP per capita in 2012 (000s USD, purchasing power parity) Sunlight exposure: Absolute latitude of country centroid, ° Alcohol consumed per capita (L), 2010 Population density in 2012 (000s/km2) Percent female labour force participation (age 15+) in 2012 Percent Catholic or Muslim in 2010 95% CI lo Posterior mean 95% CI hi IV data source 7.44 -0.63 -0.09 18.77 -0.32 -0.03 30.29 -0.02 0.03 World Bank World Bank -0.30 0.03 -0.95 -0.06 -0.06 -0.14 0.33 0.95 0.01 -0.03 0.01 0.64 2.97 0.08 WHO UN/CIA World Bank 0.00 Pew 95% CI hi IV data source Intercept -0.97 3.16 7.45 - Mean temperature (°C), 1999–2011 Median household income (000s USD), 2005-2014 -0.91 -0.08 -0.82 -0.06 -0.73 -0.04 CDC ACS 1.80 2.05 2.28 CDC 0.15 0.28 0.40 12 Population density (000s/km2), mean 1999–2014 -0.20 -0.14 -0.08 CDC/ACS Percent female labour force participation (age 16+), mean 2005–2014 Percent Catholic, mean 2000/2010 -0.22 -0.19 -0.15 ACS -0.07 -0.05 -0.04 US Religion census 0.00 0.01 0.02 Census Sunlight exposure: Mean radiation (MJ/m2), 1979– 2011 Percent heavy drinkers of alcohol*, mean 2005–2012 11 95% Posterior CI lo mean Percent White, mean 2005–2014 Methods Analysis across countries: Suicide and temperature data sources • Suicide rates were obtained from the WHO for 2012 for 171 countries • Mean temperatures for the period 1961-1990 were obtained from the World Bank, gridded to country level Analysis across US counties: Suicide and temperature data sources Age-standardized suicide rates for 1999–2014 and meteorological data by county for 1999–2011 were both obtained from the CDC. Data were obtained for 3147 counties, of which 2851 had complete suicide and temperature data. Control variables Control variables were selected on the basis of availability of data and existence of evidence for the variable likely having an effect on suicide rates. Data analyses Data were analysed in R. Visually weighted regressions were completed per Hsiang5,6 with loess span selected using fANCOVA7. Missing data were multiply imputed using mice8. Bayesian regression models were estimated with uninformative priors using MCMCpack9. Choropleth mapping was completed using choroplethr10. Figure 3. Visually weighted loess regression of county suicide rate on mean temperature. Shading indicates uncertainty around line of best fit. Figure 2 Visually weighted loess regression of country suicide rate on mean temperature. Shading indicates uncertainty around line of best fit. Discussion The apparent positive relationship between temporal variation in temperature and suicide incidence within geographical locations has led some researchers to suggest that global warming will increase suicide rates13. However, this study shows that there is a reasonably robust negative correlation between geographic variation in temperature and suicide incidence. This raises the possibility that sustained exposure to warmer temperatures have different effects than do shortterm fluctuations in temperature, complicating inferences about the effects of climate change on suicide1. It would therefore be valuable for researchers to attempt to determine the reason for the apparent negative relationship between geographical variation in temperature and suicide rates. This presentation seeks to draw attention to this research topic, rather than offer an explanation. The true explanation could be: • Confounding: The presence of some uncontrolled variable correlated with temperature (but not affected by temperature) that affects suicide incidence • Spuriousness: The presence of some measurement or statistical problem that renders the apparent relationship entirely spurious • Causality: An actual (direct or indirect) protective effect of sustained higher temperatures on suicide incidence. References Figure 1. Choropleth of suicide rates in US counties, 1999-2014 1. Williams, M. N., Hill, S. R. & Spicer, J. Will climate change increase or decrease suicide rates? The differing effects of geographical, seasonal, and irregular variation in temperature on suicide incidence. Clim Chang 130, 519–528 (2015). 2. Rotton, J. Determinism redux: Climate and cultural correlates of violence. Environ Behav 18, 346–368 (1986). 3. Lester, D. Climatic data and national suicide and homicide rates. Percept Mot Skills 89, 1036 (1999). 4. Souêtre, E., Wehr, T. A., Douillet, P. & Darcourt, G. Influence of environmental factors on suicidal behavior. Psychiatry Res 32, 253–263 (1990). 5. Hsiang, S. M. Visually-weighted regression. (2013). papers.ssrn.com/sol3/papers.cfm?abstract_id=2265501 6. Schönbrodt, F. Visually weighted regression in R (à la Solomon Hsiang). (2012). nicebread.de/visually-weighted-regression-in-r-a-la-solomonhsiang/ 7. 8. 9. 10. 11. 12. 13. Wang, X.-F. fANCOVA: Nonparametric analysis of covariance. (2010). cran.r-project.org/package=fANCOVA Buuren, S. & Groothuis-Oudshoorn, K. MICE: Multivariate imputation by chained equations in R. J Stat Softw 45 (2011). Martin, A. D., Quinn, K. M. & Park, J. H. MCMCpack: Markov Chain Monte Carlo in R. J Stat Softw 42 1–21 (2011). Lamstein, A. & Johnson, B. P. choroplethr: Simplify the creation of choropleth maps in R. (2016). cran.r-project.org/package=choroplethr Portland State University. Country geography data. pdx.edu/econ/country-geography-data Dwyer-Lindgren, L. et al. Drinking patterns in US counties from 2002 to 2012. Am J Public Health 105, 1120–1127 (2015). Preti, A., Lentini, G. & Maugeri, M. Global warming possibly linked to an enhanced risk of suicide: Data from Italy, 1974–2003. Journal of Affective Disorders 102, 19–25 (2007).
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