The dependence of the mean atomic volume V, of chalcogenide glasses belonging to the Ge,In,Se,,-x and Ge,In,,Se,,~, families of the Ge-In-Se system, on the average coordination number Z is investigated. The V,-Z plots for both families display maxima at Z = 2.75 and 2.83 corresponding to the tie-line composition in In, and In,, families, respectively. The V,-Z dependence for the In, family exhibits a minimum at Z = 2.54 and a broad local maximum at Z = 2.67, and that of the In,, family shows a marked change in slope at Z = 2.50. These results are discussed in the framework of the chemically ordered covalent network model, Tanaka's model of topological transition, and the Phillips-Thorpe model of rigidity percolation.