It is shown that the total amount of correlation stored in N-qubit systems, as characterized by the discrete Rényi entropy, can be effectively employed to detect the presence of N-partite correlations within the framework of deterministic measurements. An associated optimization procedure can be analytically performed for a broad range of N-qubit states, encompassing both symmetric and nonsymmetric ones. This analytical approach enables the analysis of the asymptotic limit N≫1. It is proved that the appropriately normalized quadratic discrete Rényi entropy always decreases in the process of deterministic measurements. This allows us to introduce a robustness parameter for assessing the stability of pure multipartite states under the protocol of measurement-induced optimal correlation transfer.