The analysis in the paper focuses on global trends in total factor productivity (TFP) growth and some of its key components and drivers. The relative performance of the UK in relation to many key countries with globally important agri-food sectors, either or both as exporters and or importers of agricultural products, and as potential targets of its future UK post-Brexit strategy are examined. Two approaches are explored in order to gain some insights into productivity growth and its measurement: the decomposition output growth through the contributions of growth in land, labour, capital, material inputs and TFP, and modelling output growth to identify the significant contributing variables. Finally, the challenges that the agricultural sector of the might face as a consequence of its proposed UK post Brexit agricultural policy (if and when it might happen) for its productivity are considered and some conclusions regarding the relevance to future agri-technology developments are outlined.