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We discuss and combine representation formats for discourse structure, in particular ‘d-trees’ from QUD theory and SDRT graphs. QUD trees are derived from SDRT graphs, while changes must apply to QUD theory in order to allow for representations of naturalistic data. We discuss whether QUD s can replace discourse relations. We apply a new method for the identification of implicit Questions under Discussion (QUD s) to examples from an interview, and we address the status of non-at-issue content within our framework.