Five-parameter chemodynamical association criteria used to constrain the association with the GC M 13. The rejected back- and foreground population of stars with SSPP parameters and Gaia DR2 motions is indicated with gray density contours. Brown dots indicate the simulated stream (see main text). Intratidal and extratidal stars are depicted with blue and colored circles (see also Fig. 7), respectively. Circle sizes indicate the association probability and colors resemble the projected distance to the cluster center (see legend and color bar). The marginalized distributions of each coordinate on the abscissa are shown on top of the two-dimensional representations. The adopted spatial prior as well as the stars that are rejected due to its usage (gray circles with no colored counterpart) are illustrated in the upper right-hand panel.