"This article explores whether changes in the size of [U.S.] cohorts entering the labor force affect the propensity to migrate and the socioeconomic circumstances of migrants at destination. The flow of young in-migrants to large SMSAs declined during the 1965-76 period, but the relative socioeconomic standing of migrants at destination was unaffected by either cohort size or regional differentials in economic growth. It is suggested that a significant reduction in the volume of migration among members of the baby boom cohort was the primary adjustment mechanism, hence reducing the need for degrading the opportunities available to migrants."
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Franklin D. Wilson (1983) studied this question.
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