Latent difference score models (e.g., McArdle & Hamagami, 2001 McArdle, J. J. 2001. “A latent difference score approach to longitudinal dynamic structural analysis.”. In Structural equation modeling: Present and future Edited by: Cudeck, R., du Toit, S. and Sorbom, D. 342–380. Lincolnwood, IL: Scientific Software International..  [Google Scholar]) are extended to include effects from prior changes to subsequent changes. This extension of latent difference scores allows for testing hypotheses where recent changes, as opposed to recent levels, are a primary predictor of subsequent changes. These models are applied to bivariate longitudinal data collected as part of the Baltimore Longitudinal Study of Aging on memory performance, measured by the California Verbal Learning Test, and lateral ventricle size, measured by structural MRIs. Results indicate that recent increases in the lateral ventricle size were a leading indicator of subsequent declines in memory performance from age 60 to 90.