1) The document discusses the concepts of irrigation efficiency and water productivity, noting important distinctions in their definitions, scales of analysis, and limitations.
2) It provides an example from Zhanghe Irrigation District in China where improvements to both on-farm water management and water allocation policies led to increased water productivity while maintaining agricultural output.
3) Key lessons are that strategies to improve water management need to consider perspectives of different water user groups and potential impacts at broader basin scales, and that multiple indicators of water productivity are needed to fully understand complex agricultural systems and trade-offs.