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We consider the contribution of changes in mortality and fertility to availability of living mothers and living children among older people in Britain, Finland and France. The proportion of people aged around 60 with a mother alive will more than double between those born in 1911 and 1970 before starting to decline slightly. Conversely, a higher proportion of elderly people are likely to have a surviving child than for any generation ever born in all three countries in the next quarter century or so, with about 85% of 80-year-old women having at least one surviving child, and about two-thirds having two or more.
Murphy et al. (2006) studied this question.