In Discourse Evolution and Power, I set out my theory of Discourse Stream Analysis (DSA©). After presenting a critique of Critical Discourse Analysis, I establish the principles of DSA including the notion of the subject and the analysis of text over time using linguistic techniques. I then apply DSA principles to two sets of texts about power-sharing. The first concerns the notion of empowerment in the business world. The second comprises articles from four newspapers over an 8 year period centred on the notion of federalism in the context of the relations between the United Kingdom and the European Union. I conclude with some ideas as to how DSA can be taken forward.