Barely Significant
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Genetic and environmental influences on adult human height across birth cohorts from 1886 to 1994.

Elife · 2016 · PMC5156525 · PMID 27964777

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a decreasing trendno p-value reported
A decreasing trend in the proportion of variation due to unique environmental factors (E) across birth-year cohorts was observed only for the four earliest birth cohorts, and was more noticeable in Europe and in women.

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a slightly increasing trendno p-value reported
In conclusion, although the genetic variance of height showed a slightly increasing trend with birth year, heritability estimates did not present any clear pattern of secular changes across birth-year cohorts from 1886 to 1994.

also in 801 other papers

an increasing trendno p-value reported
In women, although the total variance also started to increase from birth cohort 1940–1949, genetic variance showed an increasing trend from the earliest birth-year cohort.

also in 63,971 other papers

Quoted from the open-access full text in Europe PMC under the licence the publisher applied. The sentence is reproduced exactly as published; the emphasis is ours.