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"accumulated over generations" is correct and commonly used in written English.
It can be used in a sentence to describe something that has been passed down or built up over several generations. Example: The family's wealth had been accumulated over generations through hard work and wise investments.
Exact(17)
And, of course, all that lore has, in turn, been accumulated over generations.
Because wealth is accumulated over generations, it captures the legacy of slavery and segregation much better than income.
From such works, accumulated over generations and collected during the 13th century into a single volume for the entire Mediterranean, the first marine charts were drawn.
Some are notable for preserving family lore, like the handmade dollhouse filled with furnishings accumulated over generations, and the army of lead soldiers painted by the owner and his children.
In Mato Grosso a soyabean farmer spends 25% of the value of his product getting it to a port; the proportion in Iowa is 9%.These problems have accumulated over generations.
We advocate looking at a variety of socioeconomic factors that reflect differences, in the aggregate, among black, Latino and white poverty: consideration of wealth (which is accumulated over generations and reflects our history of slavery and segregation) and neighborhood poverty levels (which reflect discrimination in the housing market).
Similar(43)
Between half and two-thirds of the gap, however, could be erased if you could address a wide array of socioeconomic factors that accumulate over generations -- the size of the household the child's mother grew up in, the mother's sense of control over her life, the child's birth weight.
Human capital, like other forms of capital, accumulates over generations; it is a thing that parents "give" to their children through their upbringing, and that children then successfully deploy in school, allowing them to bequeath more human capital to their own children.
Finally, evidence of a negative correlation between relative fitness and generations in captivity (Salmon Recovery Science Review Panel 2004; Araki et al. 2007b) again points to a genetic effect because environmental effects are not expected to accumulate over generations.
We inferred that the additive effect of most flowering time QTLs varied widely under different environments; as a result, the effect of inadvertent selection did not accumulate over generations for most flowering QTLs.
In contrast, the semidominant bal allele was spontaneously generated in an inbred ddm1 (decrease in DNA methylation 1) mutant background in which genetic and epigenetic alterations accumulate over generations [ 13].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com