New developments in reduced-order models for the prediction of thermo-acoustic instabilities in gas-turbine combustors have resulted in two models to predict the dynamic heat-release rate of lean-premixed turbu-lent flames subject to acoustic perturbations. These zero-and one-dimensional models were adapted from well-stirred and plug-flow prototypes and qualitatively compared with dynamic flame transfer function data. The results support the conclusion that convective residence time scales determine the flame band-width with only implicit dependencies on chemical kinetic times. The reduced-order models have also been validated by an early stability mapping of the stability limits for a laboratory-scale lean-premixed research combustor were found to be accurate within the testable operating envelope. Current efforts focus on refining existing reduced order models to make quantitative stability predictions for validation, and generating new models with improved spatial resolution to explore the possibility of alternate physical mechanisms leading to similar observed behaviors.