Integrating agri-environmental indicators, ecosystem services assessment, life cycle assessment and yield gap analysis to assess the environmental sustainability of agriculture

•Different environmental assessment methods exist providing different viewpoints on the impacts of policies on the agroecosystem.•However, a general framework providing an holistic view is still missing.•Despite of their differences, existing assessment approaches can be combined to provide a more complete assessment.•We developed a conceptual framework describing the socio-ecosystem and the links between agriculture and the rest of the word.•We evaluated a set of environmental issues using the combination of the four existing assessment approaches demonstrating the interest of hybridizing the four existing approaches.