In the first part of the article, I review and discuss the pioneering contributions of the late Alastair Scott and T.M.F Smith to time series analysis of repeated survey data. In the second part, I review and discuss some of the extensive theoretical and applied developments in this area, emerging from their work over the ensuing 40 years or so. I conclude with a brief summary of Scott and Smith contributions and extensions, with some remarks on possible advances and challenges to time series analysis of repeated surveys.