We introduce a number of new methods based on sequence analysis to test hypotheses on the de-standardization of family-life trajectories in early adulthood, using Fertility and Family Survey data on 19 countries. Across cohorts, family-life trajectories of young adults have not become more turbulent. However, in most countries family-life trajectories of young adults have become less similar to one another and the variation in the types of family-trajectories has increased. Contrary to expectations, no clear differences in de-standardization were observed between countries characterized by a social-democratic welfare-state regime and countries characterized by either liberal or conservative welfare-state regimes.

Categorical time series, covering comparable time spans, are often quite different in a number of aspects: the number of distinct states, the number of transitions, and the distribution of durations over states. Each of these aspects contributes to an aggregate property of such series that is called complexity. Among sociologists and demographers, complexity is believed to systematically differ between groups as a result of social structure or social change. Such groups differ in, for example, age, gender, or status. The author proposes quantifications of complexity, based upon the number of distinct subsequences in combination with, in case of associated durations, the variance of these durations. A simple algorithm to compute these coefficients is provided and some of the statistical properties of the coefficients are investigated in an application to family formation histories of young American females.

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A subsequence is obtained from a string by deleting any number of characters; thus in contrast to a substring, a subsequence is not necessarily a contiguous part of the string. Counting subsequences under various constraints has become relevant to biological sequence analysis, to machine learning, to the analysis of categorical time series in the social sciences, and to the theory of word complexity. We present theorems that lead to efficient dynamic programming algorithms to count (1) distinct subsequences in a string, (2) distinct common subsequences of two strings, (3) matching joint embeddings in two strings, (4) distinct subsequences with a given minimum span, and (5) sequences generated by a string allowing characters to come in runs of a length that is bounded from above.

Because optimal matching (OM) distance is not very sensitive to differences in the order of states, we introduce a subsequence-based distance measure that can be adapted to subsequence length, to subsequence duration, and to soft-matching of states. Using a simulation technique developed by Studer, we investigate the sensitivity, relative to OM, of several variants of this metric to variations in order, timing, and duration of states. The results show that the behavior of the metric is as intended. Furthermore, we use family formation data from the Swiss Household Panel to compare a few variants of the new metric to OM. The new metrics have been implemented in the freely available TraMineR-package.

This article examines pathways to adulthood among Dutch cohorts born in the second half of the nineteenth century. Although largely overlooked by previous studies, theory suggests that life courses of young adults born during this period were already influenced by a process of standardization, in the sense that their life courses became more similar over time. Using data from a Dutch registry-based sample, we examine household trajectories: that is, sequences of living arrangements of young adults aged 15-40. Our study shows that for successive cohorts, household trajectories became more similar. We identified six types of trajectories: early death, life-cycle service, early family formation, late family formation, singlehood, and childless but with partner. Overtime, early family formation gradually became the "standard" trajectory to adulthood. However, late family formation and singlehood, common pathways within the preindustrial western European marriage pattern, remained widespread among cohorts born in the late nineteenth century. Laboring class youths, farmers' daughters, young people of mixed religious background, and urban-born youngsters were the nineteenth century forerunners of a standard pathway to adulthood.

This paper presents new representations of token sequences, with and without associated quantities, in Euclidean space. The representations are free of assumptions about the nature of the sequences or the processes that generate them. Algorithms and applications from the domains of structured interviews and life histories are discussed.

We compare life course typology solutions generated by sequence analysis (SA)