Graphical forecasting models learn the structure of time series data via projecting onto a graph.Hierarchical Graph Flow (HiGFlow) network introduces a memory buffer variable to store previously seen information across variable resolutions.HiGFlow reduces smoothness when mapping onto new feature spaces in the hierarchy.Empirical results show that HiGFlow outperforms state-of-the-art baselines, including transformer models, in MAE and RMSE.