The reconstruction of the marriage market from imperfect records is solved
by the minimization of a distance to the observations under civil status-specific
McKendrick dynamics. To do this, the completion each year of the distribution of
ages of bride and groom is also obtained by minimization under the constraints of
recorded table margins, avoiding the recourse to ad hoc stylized functions. An empirical
case study is presented using data from an administrative subdivision in southern
Russia for the period 1867–1916.