1. A method comprises: monitoring storage of data, wherein the data is encoded using a dispersed storage error coding function to produce a plurality of sets of encoded data slices and is stored as the plurality of sets of encoded data slices; determining analysis priority of the data in accordance with an analysis prioritization protocol; and when the analysis priority of the data compares unfavorably to a first priority threshold, issuing a command to delete an encoded data slice from each set of at least some of the plurality of sets of encoded data slices.