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Atmospheric CO₂ (Mauna Loa) vs US Fertility Rate

Atmospheric CO₂ (Mauna Loa) and US Fertility Rate correlate at r = -0.62 over 65 years (1959–2023), p < 0.0001. With the time trend removed, r = +0.62. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is -0.62, but once each series' time trend is removed it becomes 0.62. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.

Pearson r
-0.62
p-value
< 0.0001
Years compared (n)
65 (1959–2023)
95% confidence interval
-0.75 to -0.44
Correlation with the time trend removed
+0.62

Sources

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Correlation does not imply causation. How the verdict is worked out.